773:), which means the third object cannot escape; at higher energy, there will be one or more gaps or bottlenecks by which the third object may escape the less massive body and go into orbit around the more massive one. If the energy is at the border between these two cases, then the third object cannot escape, but the zero-velocity surface confining it touches a larger zero-velocity surface around the less massive body at one of the nearby Lagrange points, forming a cone-like point there. At the opposite side of the less massive body, the zero-velocity surface gets close to the other Lagrange point. This limiting zero-velocity surface around the less massive body is its Hill "sphere".
6090:
1269:
6102:
217:
758:, which lie along the line of centers of the Earth and the more massive Sun. The gravitational influence of the less massive body is least in that direction, and so it acts as the limiting factor for the size of the Hill sphere; beyond that distance, a third object in orbit around the Earth would spend at least part of its orbit outside the Hill sphere, and would be progressively perturbed by the tidal forces of the more massive body, the Sun, eventually ending up orbiting the latter.
787:
2340:
6174:
240:
5258:
718:
2587:
1475:
1172:
6064:
84:
6138:
43:
4123:
2498:
6162:
6114:
6150:
2106:
142:
6126:
2058:
826:"feel the gravitational force of one another", and while the motions of just two gravitationally interacting bodies—constituting a "two-body problem"—are "completely integrable (...there exists one independent integral or constraint per degree of freedom)" and thus an exact, analytic solution, the interactions of
830:(or more) such bodies "cannot be deduced analytically", requiring instead solutions by numerical integration, when possible. This is the case, unless the negligible mass of one of the three bodies allows approximation of the system as a two-body problem, known formally as a "restricted three-body problem".
833:
For such two- or restricted three-body problems as its simplest examples—e.g., one more massive primary astrophysical body, mass of m1, and a less massive secondary body, mass of m2—the concept of a Hill radius or sphere is of the approximate limit to the secondary mass's "gravitational dominance", a
220:
In sectional/side view, a two-dimensional representation of the three-dimensional concept of the Hill sphere, here showing the Earth's "gravity well" (gravitational potential of Earth, blue line), the same for the Moon (red line) and their combined potential (black thick line). Point P is the force
2335:{\displaystyle {\frac {m}{r_{\mathrm {H} }^{2}}}-{\frac {M}{r^{2}}}\left(1+2{\frac {r_{\mathrm {H} }}{r}}\right)+{\frac {M}{r^{2}}}\left(1-{\frac {r_{\mathrm {H} }}{r}}\right)={\frac {m}{r_{\mathrm {H} }^{2}}}-{\frac {M}{r^{2}}}\left(3{\frac {r_{\mathrm {H} }}{r}}\right)\approx 0.}
818:
The Hill radius or sphere (the latter defined by the former radius) has been described as "the region around a planetary body where its own gravity (compared to that of the Sun or other nearby bodies) is the dominant force in attracting satellites," both natural and artificial.
713:
that lies within the gravitational potential represented by the more massive body's Hill sphere. That moon would, in turn, have a Hill sphere of its own, and any object within that distance would tend to become a satellite of the moon, rather than of the planet itself.
1785:
1893:
5234:
1153:
2721:
The following table and logarithmic plot show the radius of the Hill spheres of some bodies of the Solar System calculated with the first formula stated above (including orbital eccentricity), using values obtained from the
2572:
at a large distance from the primary. This was thought to explain the preponderance of retrograde moons around
Jupiter; however, Saturn has a more even mix of retrograde/prograde moons so the reasons are more complicated.
1386:
1276:
of each body of the Sun-Earth-Moon system. The actual Hill radius for the Earth-Moon pair is on the order of 60,000 km (i.e., extending less than one-sixth the distance of the 378,000 km between the Moon and the
925:
1455:
2646:
at an orbit 300 km above the Earth, because a 104-ton object at that altitude has a Hill sphere of only 120 cm in radius, much smaller than a Space
Shuttle. A sphere of this size and mass would be denser than
2410:
2439:
is largest, and minimum at the pericenter of the orbit. Therefore, for purposes of stability of test particles (for example, of small satellites), the Hill radius at the pericenter distance needs to be considered.
2560:
Detailed numerical calculations show that orbits at or just within the Hill sphere are not stable in the long term; it appears that stable satellite orbits exist only inside 1/2 to 1/3 of the Hill radius.
2709:, still has a Hill sphere radius (61,000 km), six times its physical radius (approx 10,000 km). Therefore, these planets could have small moons close in, although not within their respective
5181:
1855:
1650:
3985:
1301:(AU). The Hill sphere for Earth thus extends out to about 1.5 million km (0.01 AU). The Moon's orbit, at a distance of 0.384 million km from Earth, is comfortably within the gravitational
5139:
2053:{\displaystyle {\frac {m}{r_{\mathrm {H} }^{2}}}-{\frac {M}{r^{2}}}\left(1-{\frac {r_{\mathrm {H} }}{r}}\right)^{-2}+{\frac {M}{r^{2}}}\left(1-{\frac {r_{\mathrm {H} }}{r}}\right)=0,}
2478:
2098:
2670:, with 116 million km, or 0.775 au; its great distance from the Sun amply compensates for its small mass relative to Jupiter (whose own Hill radius measures 53 million km). An
1642:
1038:
2655:, a spherical body must be more dense than lead in order to fit inside its own Hill sphere, or else it will be incapable of supporting an orbit. Satellites further out in
5174:
3929:
Asher, D.J.; Bailey, M.E. & Steel (2012). "The Role of Non-Gravitational Forces in
Decoupling Orbits from Jupiter". In Marov, Mikhail Ya. & Rickman, Hans (ed.).
3963:
3921:
3879:
3781:
3739:
3500:
3444:
3385:
3309:
1885:
3389:
2723:
798: with: a comprehensive definition of the title subject, drawn from multiple secondary and tertiary sources, that can be summarised in the lead. You can help by
2639:
It is possible for a Hill sphere to be so small that it is impossible to maintain an orbit around a body. For example, an astronaut could not have orbited the 104
962:
2437:
1808:
1613:
1593:
1573:
1553:
1009:
985:
221:
free spot, where gravitational forces of Earth and Moon cancel. The sizes of Earth and Moon are in the proportion, but distances and energies are not to scale.
2705:, has a Hill sphere radius of 593,000 km, about eight times its physical radius of approx 71,000 km. Even the smallest close-in extrasolar planet,
2557:) can eventually perturb an object out of the sphere. As stated, the satellite (third mass) should be small enough that its gravity contributes negligibly.
1050:
931:
where, in this representation, major axis "a" can be understood as the "instantaneous heliocentric distance" between the two masses (elsewhere abbreviated
5167:
4814:
3887:
Ip, W.-H. & Fernandez, J.A. (2012). "Accretional Origin of the Giant
Planers and its Consequences". In Marov, Mikhail Ya. & Rickman, Hans (ed.).
761:
For two massive bodies with gravitational potentials and any given energy of a third object of negligible mass interacting with them, one can define a
1535:
The expression for the Hill radius can be found by equating gravitational and centrifugal forces acting on a test particle (of mass much smaller than
1314:
840:
4748:
94:
3003:
1391:
2351:
635:
3982:
5941:
5146:
2687:
167:
150:
6089:
6001:
3747:
de Pater, Imke & Lissauer, Jack (2015). "Planet
Formation (Formation of the Giant Planets, Satellites of Planets and Minor Planets)".
407:
1644:
from the secondary. When the test particle is on the line connecting the primary and the secondary body, the force balance requires that
3039:
1302:
653:
476:
5153:
4016:
3845:
Ida, S.; Kokubo, E. & Takeda, T. (2012). "N-Body
Simulations of Moon Accretion". In Marov, Mikhail Ya. & Rickman, Hans (ed.).
3639:
3546:
Astakhov, Sergey A.; Burbanks, Andrew D.; Wiggins, Stephen & Farrelly, David (2003). "Chaos-assisted capture of irregular moons".
1158:
When eccentricity is negligible (the most favourable case for orbital stability), this expression reduces to the one presented above.
3851:. Astrophysics and Space Science Library. Vol. 261. Berlin, Germany: Springer Science & Business Media. pp. 206, 209f.
3940:
3898:
3856:
3828:
3800:
3758:
3716:
3286:
2626:
2536:
1522:
1255:
203:
185:
123:
70:
5996:
5876:
5295:
5212:
5197:
3665:
3634:
3044:
3021:
2508:
3893:. Astrophysics and Space Science Library. Vol. 261. Berlin, Germany: Springer Science & Business Media. pp. 173f.
6194:
5961:
5715:
4619:
3935:. Astrophysics and Space Science Library. Vol. 261. Berlin, Germany: Springer Science & Business Media. p. 122.
6034:
5673:
5664:
5401:
4771:
4764:
4741:
4051:
2608:
1500:
1193:
741:
or other more massive stars). A more complex example is the one at right, the Earth's Hill sphere, which extends between the
297:
105:
1780:{\displaystyle {\frac {Gm}{r_{\mathrm {H} }^{2}}}-{\frac {GM}{(r-r_{\mathrm {H} })^{2}}}+\Omega ^{2}(r-r_{\mathrm {H} })=0,}
3977:
721:
A contour plot of the effective gravitational potential of a two-body system, here, the Sun and Earth, indicating the five
4432:
4237:
1236:
770:
1813:
5981:
5451:
4800:
2604:
1496:
1208:
1189:
56:
4513:
5926:
4943:
4506:
4492:
4448:
628:
561:
6080:
5906:
5733:
4612:
4605:
4260:
4154:
4140:
4088:
3405:"Orbital Stability Zones About Asteroids: II. The Destabilizing Effects of Eccentric Orbits and of Solar Radiation"
1215:
988:
98:
6044:
4423:
769:. When the object's energy is low, the zero-velocity surface completely surrounds the less massive body (of this
3516:
1268:
104:
Help add sources such as review articles, monographs, or textbooks. Please also establish the relevance for any
6029:
5554:
4837:
4697:
3705:
de Pater, Imke & Lissauer, Jack (2015). "Dynamics (The Three-Body
Problem, Perturbations and Resonances)".
3534:
The moon's Hill sphere has a radius of 60,000 kilometres, about one-sixth of the distance between it and Earth.
3275:
de Pater, Imke & Lissauer, Jack (2015). "Dynamics (The Three-Body
Problem, Perturbations and Resonances)".
2749:
1485:
556:
471:
1222:
6039:
5347:
5160:
4791:
4665:
4405:
4095:
4072:
2656:
2597:
1504:
1489:
1182:
738:
705:
To be retained by a more gravitationally attracting astrophysical object—a planet by a more massive star, a
427:
2659:, however, would only need to be more than 6% of the density of water to fit inside their own Hill sphere.
5901:
5503:
5423:
5411:
4704:
4335:
4109:
4065:
4009:
621:
344:
6024:
5966:
5936:
5724:
5601:
5569:
5539:
5498:
5483:
5362:
5241:
4757:
4727:
4455:
4439:
4370:
3494:
3438:
3379:
3135:
2446:
2066:
1204:
762:
529:
364:
272:
6101:
3452:
216:
1618:
1014:
656:. It is the most commonly used model to calculate the spatial extent of gravitational influence of an
6049:
5871:
5655:
5544:
5513:
5441:
5416:
5391:
5352:
5333:
5288:
5070:
5056:
4874:
4823:
4377:
3557:
3467:
3416:
3349:
3219:
3168:
2935:
402:
359:
349:
277:
6166:
5911:
5706:
5446:
4853:
4690:
4034:
2979:
1305:
of Earth and it is therefore not at risk of being pulled into an independent orbit around the Sun.
691:
665:
444:
282:
834:
limit defined by "the extent" of its Hill sphere, which is represented mathematically as follows:
6154:
6142:
6106:
5584:
5473:
5371:
5038:
4890:
4658:
4559:
4306:
4244:
4202:
3957:
3915:
3873:
3789:
Gurzadyan, Grigor A. (2020). "The Sphere of
Attraction, the Sphere of Action and Hill's Sphere".
3775:
3733:
3581:
3367:
3339:
3303:
3192:
3104:
2550:
2415:
If the orbit of the secondary about the primary is elliptical, the Hill radius is maximum at the
517:
392:
3600:
5951:
5849:
5779:
5534:
5488:
5406:
5220:
4679:
4637:
4131:
4122:
4002:
3936:
3894:
3852:
3824:
3796:
3754:
3712:
3573:
3282:
3184:
2741:
2694:
1298:
706:
657:
432:
369:
248:
6118:
5931:
5863:
5627:
5589:
5463:
5433:
5386:
5116:
4780:
4582:
4398:
4391:
4351:
4193:
4147:
3565:
3548:
3521:
3475:
3424:
3357:
3176:
3114:
3002:
2759:
2565:
2554:
1864:
699:
602:
551:
316:
260:
159:
62:
6199:
5971:
5564:
5468:
5458:
5357:
5281:
5123:
4860:
4713:
4476:
3989:
2652:
965:
766:
722:
607:
512:
422:
397:
1229:
664:) in which it dominates over the gravitational influence of other bodies, particularly a
3561:
3471:
3420:
3353:
3281:(2nd ed.). Cambridge, England: Cambridge University Press. pp. 26, 28–30, 34.
3223:
3172:
944:
6204:
6178:
6094:
6067:
6019:
6011:
6006:
5891:
5886:
5817:
5797:
5788:
5381:
5367:
5343:
5338:
5313:
4883:
4807:
4672:
4589:
4566:
3237:
Lauretta, Dante and the Staff of the Osiris-Rex
Asteroid Sample Return Mission (2023).
3026:
3016:
2569:
2422:
1793:
1598:
1578:
1558:
1538:
994:
970:
964:, orbits a more massive body (m1, e.g., as a planet orbiting around the Sun) and has a
752:
745:
742:
673:
579:
495:
489:
412:
337:
331:
326:
786:
672:). It is sometimes confused with other models of gravitational influence, such as the
6188:
5921:
5916:
5835:
5478:
5396:
5261:
5227:
5109:
5003:
4936:
4545:
4485:
4322:
4299:
4267:
4253:
4230:
3479:
3429:
3404:
3371:
3196:
2675:
2643:
1148:{\displaystyle R_{\mathrm {H} }\approx a(1-e){\sqrt{\frac {m_{2}}{3(m_{1}+m_{2})}}}.}
685:
584:
417:
374:
3711:(2nd ed.). Cambridge, England: Cambridge University Press. pp. 28–30, 34.
3585:
3238:
822:
As described by de Pater and Lissauer, all bodies within a system such as the Sun's
239:
6173:
6130:
5986:
5896:
5770:
5753:
5611:
5508:
5376:
5095:
4911:
4830:
4651:
4529:
4344:
4184:
4058:
3753:(2nd ed.). Cambridge, England: Cambridge University Press. pp. 539, 544.
3064:
2683:
2663:
1858:
823:
730:
302:
292:
287:
3930:
3888:
3846:
3818:
3790:
3748:
3706:
3276:
5826:
5596:
5576:
5493:
5204:
5188:
5130:
5102:
5088:
5063:
4954:
4904:
4575:
4313:
4292:
3629:
3159:
Hill, Roderick J. (2022). "Gravitational clearing of natural satellite orbits".
2710:
2702:
2698:
2586:
1474:
1273:
1171:
681:
31:
3660:
3362:
3327:
3210:
Chebotarev, G. A. (March 1965). "On the Dynamical Limits of the Solar System".
1381:{\displaystyle {\frac {R_{\mathrm {H} }^{3}}{a^{3}}}\approx 1/3{\frac {m2}{M}}}
920:{\displaystyle R_{\mathrm {H} }\approx a{\sqrt{\frac {m_{2}}{3(m_{1}+m_{2})}}}}
717:
5559:
5017:
4596:
4522:
4499:
4462:
4416:
4358:
4177:
3034:
2480:, the Hill radius above also represents the distance of the Lagrangian point L
1041:
688:
546:
502:
461:
3188:
3119:
3092:
3006:
Logarithmic plot of the Hill radii (in km) for the bodies of the solar system
1450:{\displaystyle 3{\frac {R_{\mathrm {H} }^{3}}{a^{3}}}\approx {\frac {m2}{M}}}
5976:
5328:
5024:
5010:
4996:
4980:
4973:
4922:
4644:
4552:
4276:
4216:
4170:
4102:
2416:
2405:{\displaystyle {\frac {r_{\mathrm {H} }}{r}}\approx {\sqrt{\frac {m}{3M}}}.}
3577:
1272:
A schematic, not-to-scale representation of Hill spheres (as 2D radii) and
27:
Region in which an astronomical body dominates the attraction of satellites
17:
3093:"On the local and global properties of gravitational spheres of influence"
108:
cited. Unsourced or poorly sourced material may be challenged and removed.
5031:
4989:
4966:
4844:
4209:
3180:
2706:
2671:
3569:
5881:
5273:
4469:
4223:
3067:
as seen from Earth varies depending on Earth's proximity to the object.
2913:
2847:
2679:
2667:
2611: in this section. Unsourced material may be challenged and removed.
1555:) orbiting the secondary body. Assume that the distance between masses
1308:
The earlier eccentricity-ignoring formula can be re-stated as follows:
1196: in this section. Unsourced material may be challenged and removed.
3086:
3084:
2891:
2869:
2640:
1861:) angular velocity of the secondary about the primary (assuming that
695:
2549:
The Hill sphere is only an approximation, and other forces (such as
6125:
3344:
3109:
2568:
at a large distance from the primary is larger than the region for
5686:
5305:
4897:
4720:
4538:
4161:
3270:
3268:
3266:
3264:
3262:
3260:
3001:
2957:
2803:
2781:
1267:
716:
710:
267:
215:
2690:
that has a moon (named Squannit), measures 22 km in radius.
4929:
4285:
4025:
3680:
2825:
2682:), diminishing rapidly with decreasing mass. The Hill sphere of
2648:
5277:
3998:
3243:
Osiris-Rex Asteroid Sample Return Mission (AsteroidMission.org)
2730:
Radius of the Hill spheres of some bodies of the Solar System
2580:
2491:
1468:
1165:
780:
734:
135:
77:
36:
3338:(4). Washington, DC: The American Astronomical Society: 155.
3091:
Souami, D.; Cresson, J.; Biernacki, C.; Pierret, F. (2020).
2678:
will have a Hill sphere that can reach 220,000 km (for
2507:
may be in need of reorganization to comply with Knowledge's
709:
by a more massive planet—the less massive body must have an
3321:
3319:
2063:
which, through a binomial expansion to leading order in
3994:
3328:"Temporary Capture of Asteroids by an Eccentric Planet"
2518:
1615:, and that the test particle is orbiting at a distance
799:
163:
6078:
3161:
Publications of the Astronomical Society of Australia
2449:
2425:
2354:
2109:
2069:
1896:
1867:
1816:
1796:
1653:
1621:
1601:
1581:
1561:
1541:
1394:
1317:
1053:
1017:
997:
973:
947:
843:
3983:
The moon that went up a hill, but came down a planet
2726:
and from the NASA Solar System Exploration website.
765:
in space which cannot be passed, the contour of the
5950:
5862:
5806:
5742:
5695:
5635:
5626:
5522:
5432:
5321:
5312:
5080:
5048:
4953:
4870:
4790:
4629:
4332:
4130:
4041:
1850:{\displaystyle \Omega ={\sqrt {\frac {GM}{r^{3}}}}}
2472:
2431:
2404:
2334:
2092:
2052:
1879:
1849:
1802:
1779:
1636:
1607:
1587:
1567:
1547:
1449:
1380:
1147:
1032:
1003:
979:
956:
919:
3097:Monthly Notices of the Royal Astronomical Society
3817:Gurzadyan, Grigor A. (2020). "The Roche Limit".
733:is that it is bounded by the Hill sphere of the
3795:. Boca Raton, FL: CRC Press. pp. 258–263.
3451:Hamilton, D.P. & Burns, J.A. (March 1991).
3403:Hamilton, D.P. & Burns, J.A. (March 1992).
3063:At average distance, as seen from the Sun. The
2521:to make improvements to the overall structure.
1461:where M is the sum of the interacting masses.
737:(engendered by the Sun's interaction with the
5289:
4010:
2666:, the planet with the largest Hill radius is
1887:). The above equation can also be written as
629:
8:
3962:: CS1 maint: multiple names: authors list (
3920:: CS1 maint: multiple names: authors list (
3878:: CS1 maint: multiple names: authors list (
3823:. Boca Raton, FL: CRC Press. pp. 263f.
3780:: CS1 maint: multiple names: authors list (
3738:: CS1 maint: multiple names: authors list (
3499:: CS1 maint: multiple names: authors list (
3466:(1). New York, NY: Academic Press: 118–131.
3443:: CS1 maint: multiple names: authors list (
3384:: CS1 maint: multiple names: authors list (
3308:: CS1 maint: multiple names: authors list (
1297:) at a distance of 149.6 million km, or one
1040:of the less massive body, calculated at the
1503:. Unsourced material may be challenged and
652:is a common model for the calculation of a
71:Learn how and when to remove these messages
6063:
5632:
5318:
5296:
5282:
5274:
4017:
4003:
3995:
3415:(1). New York, NY: Academic Press: 43–64.
3388:) CS1 maint: numeric names: authors list (
941:More generally, if the less massive body,
636:
622:
224:
30:For the inner part of the Oort cloud, see
3978:Can an Astronaut Orbit the Space Shuttle?
3932:Collisional Processes in the Solar System
3890:Collisional Processes in the Solar System
3848:Collisional Processes in the Solar System
3453:"Orbital Stability Zones About Asteroids"
3428:
3361:
3343:
3326:Higuchi1, A. & Ida, S. (April 2017).
3118:
3108:
2627:Learn how and when to remove this message
2537:Learn how and when to remove this message
2462:
2455:
2454:
2448:
2424:
2392:
2377:
2362:
2361:
2355:
2353:
2309:
2308:
2302:
2286:
2277:
2266:
2260:
2259:
2250:
2230:
2229:
2223:
2204:
2195:
2175:
2174:
2168:
2146:
2137:
2126:
2120:
2119:
2110:
2108:
2082:
2075:
2074:
2068:
2024:
2023:
2017:
1998:
1989:
1977:
1960:
1959:
1953:
1933:
1924:
1913:
1907:
1906:
1897:
1895:
1866:
1838:
1823:
1815:
1795:
1758:
1757:
1738:
1722:
1711:
1710:
1686:
1675:
1669:
1668:
1654:
1652:
1627:
1626:
1620:
1600:
1580:
1560:
1540:
1523:Learn how and when to remove this message
1432:
1421:
1411:
1405:
1404:
1398:
1393:
1363:
1355:
1341:
1331:
1325:
1324:
1318:
1316:
1256:Learn how and when to remove this message
1135:
1124:
1111:
1094:
1087:
1059:
1058:
1052:
1023:
1022:
1016:
996:
972:
946:
910:
899:
886:
869:
862:
849:
848:
842:
204:Learn how and when to remove this message
186:Learn how and when to remove this message
124:Learn how and when to remove this message
2728:
680:, the latter causing confusion with the
6085:
3080:
3056:
527:
442:
246:
232:
5942:Transposition, docking, and extraction
3955:
3913:
3871:
3773:
3731:
3492:
3436:
3377:
3301:
2514:the section lacks sourcing and focus.
1281:In the Earth-Sun example, the Earth (
729:One simple view of the extent of the
7:
3599:Johnston, Robert (20 October 2019).
2609:adding citations to reliable sources
1501:adding citations to reliable sources
1194:adding citations to reliable sources
158:Relevant discussion may be found on
3136:"How Many Moons Does Mercury Have?"
3040:Sphere of influence (astrodynamics)
3245:. Tempe, AZ: University of Arizona
2473:{\displaystyle r_{\mathrm {H} }/r}
2456:
2363:
2310:
2261:
2231:
2176:
2121:
2093:{\displaystyle r_{\mathrm {H} }/r}
2076:
2025:
1961:
1908:
1817:
1810:is the gravitational constant and
1759:
1735:
1712:
1670:
1628:
1406:
1326:
1060:
1024:
1011:, then the Hill radius or sphere,
850:
25:
6002:Kepler's laws of planetary motion
5235:Lilith (hypothetical second moon)
2717:Hill spheres for the solar system
2345:Hence, the relation stated above
654:gravitational sphere of influence
408:Kepler's laws of planetary motion
52:This article has multiple issues.
6172:
6160:
6148:
6136:
6124:
6112:
6100:
6088:
6062:
5997:Interplanetary Transport Network
5877:Collision avoidance (spacecraft)
5257:
5256:
5198:Moon landing conspiracy theories
4121:
3820:Theory of Interplanetary Flights
3792:Theory of Interplanetary Flights
3666:Extrasolar Planets Encyclopaedia
3635:Extrasolar Planets Encyclopaedia
3515:Follows, Mike (4 October 2017).
3045:Sphere of influence (black hole)
3022:Interplanetary Transport Network
2585:
2496:
1637:{\displaystyle r_{\mathrm {H} }}
1473:
1170:
1033:{\displaystyle R_{\mathrm {H} }}
785:
238:
140:
82:
41:
5962:Astronomical coordinate systems
5716:Longitude of the ascending node
4620:Selenographic coordinate system
3681:"NASA Solar System Exploration"
3642:from the original on 2010-01-16
3239:"Word of the Week: Hill Sphere"
2596:needs additional citations for
1181:needs additional citations for
60:or discuss these issues on the
6035:Retrograde and prograde motion
5147:Artificial objects on the Moon
3167:. Cambridge University Press.
1765:
1744:
1719:
1697:
1130:
1104:
1084:
1072:
905:
879:
1:
4238:Total penumbral lunar eclipse
3134:Williams, Matt (2015-12-30).
99:secondary or tertiary sources
5982:Equatorial coordinate system
5213:Moon is made of green cheese
4507:Permanently shadowed craters
3480:10.1016/0019-1035(91)90039-V
3430:10.1016/0019-1035(92)90005-R
2564:The region of stability for
771:restricted three-body system
694:, based on the work of the
562:Tsiolkovsky rocket equation
6221:
5734:Longitude of the periapsis
5140:Craters named after people
4613:Transient lunar phenomenon
4261:Solar eclipses on the Moon
531:Engineering and efficiency
350:Bi-elliptic transfer orbit
29:
6058:
6045:Specific angular momentum
5251:
4119:
4032:
3517:"Ever Decreasing Circles"
2688:Mercury-crossing asteroid
106:primary research articles
3363:10.3847/1538-3881/aa5daa
3332:The Astronomical Journal
684:. It was defined by the
557:Propellant mass fraction
456:Gravitational influences
154:may need to be rewritten
91:This scientific article
6040:Specific orbital energy
5161:Moon in science fiction
4666:Giant-impact hypothesis
4514:South Pole–Aitken basin
2512:. The reason given is:
428:Specific orbital energy
6195:Equations of astronomy
5452:Geostationary transfer
5182:futuristic exploration
4705:Late Heavy Bombardment
3120:10.1093/mnras/staa1520
3007:
2474:
2433:
2406:
2336:
2094:
2054:
1881:
1880:{\displaystyle m\ll M}
1851:
1804:
1781:
1638:
1609:
1589:
1569:
1549:
1451:
1382:
1278:
1162:Example and derivation
1149:
1034:
1005:
981:
958:
921:
726:
345:Hohmann transfer orbit
222:
6025:Orbital state vectors
5967:Characteristic energy
5937:Trans-lunar injection
5725:Argument of periapsis
5402:Prograde / Retrograde
5363:Hyperbolic trajectory
5242:Splitting of the Moon
5154:Memorials on the Moon
4758:Lunar sample displays
4440:Peak of eternal light
3005:
2475:
2434:
2407:
2337:
2095:
2055:
1882:
1852:
1805:
1782:
1639:
1610:
1590:
1570:
1550:
1452:
1383:
1271:
1150:
1035:
1006:
982:
959:
922:
763:zero-velocity surface
720:
541:Preflight engineering
273:Argument of periapsis
219:
5872:Bi-elliptic transfer
5392:Parabolic trajectory
3181:10.1017/pasa.2021.62
2605:improve this article
2488:Regions of stability
2484:from the secondary.
2447:
2443:To leading order in
2423:
2352:
2107:
2100:, can be written as
2067:
1894:
1865:
1814:
1794:
1651:
1619:
1599:
1579:
1559:
1539:
1497:improve this section
1392:
1315:
1190:improve this article
1051:
1044:, is approximately:
1015:
995:
971:
945:
841:
676:or being called the
597:Propulsive maneuvers
5912:Low-energy transfer
4742:Lunar laser ranging
3570:10.1038/nature01622
3562:2003Natur.423..264A
3472:1991Icar...92..118H
3421:1992Icar...96...43H
3354:2017AJ....153..155H
3224:1965SvA.....8..787C
3173:2022PASA...39....6H
2754:Farthest moon (au)
2731:
2724:JPL DE405 ephemeris
2657:geostationary orbit
2519:editing the article
2271:
2131:
1918:
1680:
1416:
1336:
1303:sphere of influence
692:George William Hill
574:Efficiency measures
477:Sphere of influence
446:Celestial mechanics
228:Part of a series on
5907:Inclination change
5555:Distant retrograde
4891:Lunisolar calendar
4560:Lunar basalt 70017
4307:Tidal acceleration
4162:Perigee and apogee
4052:Internal structure
3988:2008-09-30 at the
3750:Planetary Sciences
3708:Planetary Sciences
3661:"Planet CoRoT-7 b"
3609:Johnston's Archive
3278:Planetary Sciences
3008:
2729:
2551:radiation pressure
2470:
2429:
2402:
2332:
2255:
2115:
2090:
2050:
1902:
1877:
1847:
1800:
1777:
1664:
1634:
1605:
1585:
1565:
1545:
1447:
1400:
1378:
1320:
1289:) orbits the Sun (
1279:
1145:
1030:
1001:
977:
957:{\displaystyle m2}
954:
917:
727:
393:Dynamical friction
223:
6076:
6075:
6050:Two-line elements
5858:
5857:
5780:Eccentric anomaly
5622:
5621:
5489:Orbit of the Moon
5348:Highly elliptical
5271:
5270:
5221:Natural satellite
4680:Lunar magma ocean
4456:Volcanic features
3556:(6937): 264–267.
3051:Explanatory notes
3000:
2999:
2651:, and indeed, in
2637:
2636:
2629:
2566:retrograde orbits
2547:
2546:
2539:
2509:layout guidelines
2432:{\displaystyle r}
2397:
2391:
2372:
2319:
2292:
2272:
2240:
2210:
2185:
2152:
2132:
2034:
2004:
1970:
1939:
1919:
1845:
1844:
1803:{\displaystyle G}
1729:
1681:
1608:{\displaystyle r}
1588:{\displaystyle m}
1568:{\displaystyle M}
1548:{\displaystyle m}
1533:
1532:
1525:
1445:
1427:
1376:
1347:
1299:astronomical unit
1266:
1265:
1258:
1240:
1140:
1134:
1004:{\displaystyle e}
980:{\displaystyle a}
936:
915:
909:
816:
815:
658:astronomical body
646:
645:
496:Lagrangian points
433:Vis-viva equation
403:Kepler's equation
250:Orbital mechanics
214:
213:
206:
196:
195:
188:
168:lead layout guide
134:
133:
126:
93:needs additional
75:
16:(Redirected from
6212:
6177:
6176:
6165:
6164:
6163:
6153:
6152:
6151:
6141:
6140:
6139:
6129:
6128:
6117:
6116:
6115:
6105:
6104:
6093:
6092:
6084:
6066:
6065:
6007:Lagrangian point
5902:Hohmann transfer
5847:
5833:
5824:
5815:
5795:
5786:
5777:
5768:
5764:
5760:
5751:
5731:
5722:
5713:
5704:
5684:
5680:
5671:
5662:
5653:
5633:
5602:Heliosynchronous
5551:Lagrange points
5504:Transatmospheric
5319:
5298:
5291:
5284:
5275:
5264:
5260:
5259:
5244:
5237:
5230:
5223:
5216:
5207:
5200:
5191:
5184:
5177:
5170:
5163:
5156:
5149:
5142:
5133:
5126:
5119:
5112:
5105:
5098:
5091:
5073:
5066:
5064:Meridian passage
5059:
5041:
5034:
5027:
5020:
5013:
5006:
4999:
4992:
4983:
4976:
4969:
4946:
4939:
4932:
4925:
4914:
4907:
4900:
4893:
4886:
4863:
4856:
4847:
4840:
4833:
4826:
4817:
4810:
4803:
4783:
4781:Lunar seismology
4774:
4767:
4760:
4751:
4744:
4737:
4730:
4723:
4716:
4714:Lunar meteorites
4707:
4700:
4693:
4682:
4675:
4668:
4661:
4654:
4647:
4640:
4622:
4615:
4608:
4599:
4592:
4585:
4583:Space weathering
4578:
4569:
4562:
4555:
4548:
4541:
4532:
4525:
4516:
4509:
4502:
4495:
4488:
4479:
4472:
4465:
4458:
4451:
4442:
4435:
4426:
4419:
4408:
4401:
4394:
4387:
4380:
4373:
4366:
4361:
4354:
4347:
4325:
4316:
4309:
4302:
4295:
4288:
4279:
4270:
4263:
4256:
4247:
4240:
4233:
4226:
4219:
4212:
4205:
4196:
4187:
4180:
4173:
4164:
4157:
4150:
4148:Orbital elements
4143:
4125:
4112:
4105:
4098:
4091:
4082:
4075:
4068:
4061:
4054:
4019:
4012:
4005:
3996:
3967:
3961:
3953:
3951:
3949:
3925:
3919:
3911:
3909:
3907:
3883:
3877:
3869:
3867:
3865:
3841:
3839:
3837:
3813:
3811:
3809:
3785:
3779:
3771:
3769:
3767:
3743:
3737:
3729:
3727:
3725:
3692:
3691:
3689:
3688:
3677:
3671:
3670:
3657:
3651:
3650:
3648:
3647:
3626:
3620:
3619:
3617:
3615:
3601:"(66391) Moshup
3596:
3590:
3589:
3543:
3537:
3536:
3531:
3529:
3522:NewScientist.com
3512:
3506:
3504:
3498:
3490:
3488:
3486:
3457:
3448:
3442:
3434:
3432:
3400:
3394:
3393:
3383:
3375:
3365:
3347:
3323:
3314:
3313:
3307:
3299:
3297:
3295:
3272:
3255:
3254:
3252:
3250:
3234:
3228:
3227:
3212:Soviet Astronomy
3207:
3201:
3200:
3156:
3150:
3149:
3147:
3146:
3131:
3125:
3124:
3122:
3112:
3103:(4): 4287–4297.
3088:
3068:
3061:
2732:
2632:
2625:
2621:
2618:
2612:
2589:
2581:
2577:Further examples
2555:Yarkovsky effect
2542:
2535:
2531:
2528:
2522:
2500:
2499:
2492:
2479:
2477:
2476:
2471:
2466:
2461:
2460:
2459:
2438:
2436:
2435:
2430:
2411:
2409:
2408:
2403:
2398:
2396:
2390:
2379:
2378:
2373:
2368:
2367:
2366:
2356:
2341:
2339:
2338:
2333:
2325:
2321:
2320:
2315:
2314:
2313:
2303:
2293:
2291:
2290:
2278:
2273:
2270:
2265:
2264:
2251:
2246:
2242:
2241:
2236:
2235:
2234:
2224:
2211:
2209:
2208:
2196:
2191:
2187:
2186:
2181:
2180:
2179:
2169:
2153:
2151:
2150:
2138:
2133:
2130:
2125:
2124:
2111:
2099:
2097:
2096:
2091:
2086:
2081:
2080:
2079:
2059:
2057:
2056:
2051:
2040:
2036:
2035:
2030:
2029:
2028:
2018:
2005:
2003:
2002:
1990:
1985:
1984:
1976:
1972:
1971:
1966:
1965:
1964:
1954:
1940:
1938:
1937:
1925:
1920:
1917:
1912:
1911:
1898:
1886:
1884:
1883:
1878:
1856:
1854:
1853:
1848:
1846:
1843:
1842:
1833:
1825:
1824:
1809:
1807:
1806:
1801:
1786:
1784:
1783:
1778:
1764:
1763:
1762:
1743:
1742:
1730:
1728:
1727:
1726:
1717:
1716:
1715:
1695:
1687:
1682:
1679:
1674:
1673:
1663:
1655:
1643:
1641:
1640:
1635:
1633:
1632:
1631:
1614:
1612:
1611:
1606:
1594:
1592:
1591:
1586:
1574:
1572:
1571:
1566:
1554:
1552:
1551:
1546:
1528:
1521:
1517:
1514:
1508:
1477:
1469:
1456:
1454:
1453:
1448:
1446:
1441:
1433:
1428:
1426:
1425:
1415:
1410:
1409:
1399:
1387:
1385:
1384:
1379:
1377:
1372:
1364:
1359:
1348:
1346:
1345:
1335:
1330:
1329:
1319:
1296:
1294:
1288:
1286:
1261:
1254:
1250:
1247:
1241:
1239:
1198:
1174:
1166:
1154:
1152:
1151:
1146:
1141:
1139:
1133:
1129:
1128:
1116:
1115:
1099:
1098:
1089:
1088:
1065:
1064:
1063:
1039:
1037:
1036:
1031:
1029:
1028:
1027:
1010:
1008:
1007:
1002:
986:
984:
983:
978:
963:
961:
960:
955:
934:
926:
924:
923:
918:
916:
914:
908:
904:
903:
891:
890:
874:
873:
864:
863:
855:
854:
853:
811:
808:
789:
781:
739:galactic nucleus
638:
631:
624:
603:Orbital maneuver
552:Payload fraction
532:
513:Lissajous orbits
447:
418:Orbital velocity
365:Hyperbolic orbit
261:Orbital elements
251:
242:
225:
209:
202:
191:
184:
180:
177:
171:
164:improve the lead
160:Talk:Hill sphere
144:
143:
136:
129:
122:
118:
115:
109:
86:
85:
78:
67:
45:
44:
37:
21:
6220:
6219:
6215:
6214:
6213:
6211:
6210:
6209:
6185:
6184:
6183:
6171:
6161:
6159:
6149:
6147:
6137:
6135:
6123:
6113:
6111:
6099:
6087:
6079:
6077:
6072:
6054:
5972:Escape velocity
5953:
5946:
5927:Rocket equation
5854:
5846:
5840:
5831:
5822:
5813:
5802:
5793:
5784:
5775:
5766:
5762:
5758:
5749:
5738:
5729:
5720:
5711:
5702:
5691:
5682:
5678:
5674:Semi-minor axis
5669:
5665:Semi-major axis
5660:
5651:
5645:
5618:
5540:Areosynchronous
5524:
5518:
5499:Sun-synchronous
5484:Near-equatorial
5428:
5308:
5302:
5272:
5267:
5255:
5247:
5240:
5233:
5226:
5219:
5210:
5203:
5196:
5187:
5180:
5173:
5166:
5159:
5152:
5145:
5138:
5129:
5124:Man in the Moon
5122:
5115:
5108:
5101:
5094:
5087:
5076:
5069:
5062:
5055:
5049:Daily phenomena
5044:
5037:
5030:
5023:
5016:
5009:
5002:
4997:Super and micro
4995:
4988:
4979:
4972:
4965:
4958:
4949:
4942:
4935:
4928:
4921:
4910:
4903:
4896:
4889:
4882:
4872:
4866:
4861:Lunar resources
4859:
4852:
4843:
4836:
4829:
4822:
4813:
4806:
4799:
4786:
4779:
4770:
4763:
4756:
4747:
4740:
4735:
4726:
4719:
4712:
4703:
4696:
4689:
4678:
4671:
4664:
4657:
4650:
4643:
4636:
4625:
4618:
4611:
4604:
4595:
4588:
4581:
4574:
4565:
4558:
4551:
4544:
4537:
4528:
4521:
4512:
4505:
4498:
4491:
4484:
4475:
4468:
4461:
4454:
4447:
4438:
4431:
4422:
4415:
4404:
4397:
4390:
4385:
4376:
4369:
4364:
4357:
4350:
4343:
4334:
4328:
4321:
4312:
4305:
4298:
4291:
4284:
4275:
4266:
4259:
4252:
4243:
4236:
4229:
4222:
4215:
4208:
4201:
4192:
4183:
4176:
4169:
4160:
4153:
4146:
4139:
4126:
4117:
4108:
4101:
4094:
4087:
4078:
4071:
4064:
4057:
4050:
4043:
4037:
4028:
4023:
3990:Wayback Machine
3974:
3954:
3947:
3945:
3943:
3928:
3912:
3905:
3903:
3901:
3886:
3870:
3863:
3861:
3859:
3844:
3835:
3833:
3831:
3816:
3807:
3805:
3803:
3788:
3772:
3765:
3763:
3761:
3746:
3730:
3723:
3721:
3719:
3704:
3701:
3699:Further reading
3696:
3695:
3686:
3684:
3679:
3678:
3674:
3659:
3658:
3654:
3645:
3643:
3628:
3627:
3623:
3613:
3611:
3598:
3597:
3593:
3545:
3544:
3540:
3527:
3525:
3514:
3513:
3509:
3491:
3484:
3482:
3455:
3450:
3435:
3402:
3401:
3397:
3376:
3325:
3324:
3317:
3300:
3293:
3291:
3289:
3274:
3273:
3258:
3248:
3246:
3236:
3235:
3231:
3209:
3208:
3204:
3158:
3157:
3153:
3144:
3142:
3133:
3132:
3128:
3090:
3089:
3082:
3077:
3072:
3071:
3062:
3058:
3053:
3013:
2719:
2653:low Earth orbit
2633:
2622:
2616:
2613:
2602:
2590:
2579:
2570:prograde orbits
2543:
2532:
2526:
2523:
2517:Please help by
2516:
2501:
2497:
2490:
2483:
2450:
2445:
2444:
2421:
2420:
2383:
2357:
2350:
2349:
2304:
2298:
2294:
2282:
2225:
2216:
2212:
2200:
2170:
2158:
2154:
2142:
2105:
2104:
2070:
2065:
2064:
2019:
2010:
2006:
1994:
1955:
1946:
1942:
1941:
1929:
1892:
1891:
1863:
1862:
1834:
1826:
1812:
1811:
1792:
1791:
1753:
1734:
1718:
1706:
1696:
1688:
1656:
1649:
1648:
1622:
1617:
1616:
1597:
1596:
1577:
1576:
1557:
1556:
1537:
1536:
1529:
1518:
1512:
1509:
1494:
1478:
1467:
1434:
1417:
1390:
1389:
1365:
1337:
1313:
1312:
1292:
1290:
1284:
1282:
1262:
1251:
1245:
1242:
1199:
1197:
1187:
1175:
1164:
1120:
1107:
1100:
1090:
1054:
1049:
1048:
1018:
1013:
1012:
993:
992:
969:
968:
966:semi-major axis
943:
942:
895:
882:
875:
865:
844:
839:
838:
812:
806:
803:
796:needs expansion
790:
779:
767:Jacobi integral
756:
749:
743:Lagrange points
723:Lagrange points
642:
613:
612:
608:Orbit insertion
598:
590:
589:
575:
567:
566:
542:
534:
530:
523:
522:
518:Lyapunov orbits
509:
508:
492:
482:
481:
457:
449:
445:
438:
437:
423:Surface gravity
398:Escape velocity
388:
380:
379:
360:Parabolic orbit
356:
355:
322:
320:
317:two-body orbits
308:
307:
298:Semi-major axis
263:
253:
249:
210:
199:
198:
197:
192:
181:
175:
172:
157:
145:
141:
130:
119:
113:
110:
103:
87:
83:
46:
42:
35:
28:
23:
22:
15:
12:
11:
5:
6218:
6216:
6208:
6207:
6202:
6197:
6187:
6186:
6182:
6181:
6169:
6157:
6145:
6133:
6121:
6109:
6097:
6074:
6073:
6071:
6070:
6068:List of orbits
6059:
6056:
6055:
6053:
6052:
6047:
6042:
6037:
6032:
6027:
6022:
6020:Orbit equation
6017:
6009:
6004:
5999:
5994:
5989:
5984:
5979:
5974:
5969:
5964:
5958:
5956:
5948:
5947:
5945:
5944:
5939:
5934:
5929:
5924:
5919:
5914:
5909:
5904:
5899:
5894:
5892:Gravity assist
5889:
5887:Delta-v budget
5884:
5879:
5874:
5868:
5866:
5860:
5859:
5856:
5855:
5853:
5852:
5844:
5838:
5829:
5820:
5818:Orbital period
5810:
5808:
5804:
5803:
5801:
5800:
5798:True longitude
5791:
5789:Mean longitude
5782:
5773:
5756:
5746:
5744:
5740:
5739:
5737:
5736:
5727:
5718:
5709:
5699:
5697:
5693:
5692:
5690:
5689:
5676:
5667:
5658:
5648:
5646:
5644:
5643:
5640:
5636:
5630:
5624:
5623:
5620:
5619:
5617:
5616:
5615:
5614:
5606:
5605:
5604:
5599:
5594:
5593:
5592:
5579:
5574:
5573:
5572:
5567:
5562:
5557:
5549:
5548:
5547:
5545:Areostationary
5542:
5537:
5528:
5526:
5520:
5519:
5517:
5516:
5514:Very low Earth
5511:
5506:
5501:
5496:
5491:
5486:
5481:
5476:
5471:
5466:
5461:
5456:
5455:
5454:
5449:
5442:Geosynchronous
5438:
5436:
5430:
5429:
5427:
5426:
5424:Transfer orbit
5421:
5420:
5419:
5414:
5404:
5399:
5394:
5389:
5384:
5382:Lagrange point
5379:
5374:
5365:
5360:
5355:
5350:
5341:
5336:
5331:
5325:
5323:
5316:
5310:
5309:
5304:Gravitational
5303:
5301:
5300:
5293:
5286:
5278:
5269:
5268:
5266:
5265:
5252:
5249:
5248:
5246:
5245:
5238:
5231:
5224:
5217:
5208:
5201:
5194:
5193:
5192:
5185:
5178:
5171:
5157:
5150:
5143:
5136:
5135:
5134:
5127:
5113:
5106:
5099:
5092:
5084:
5082:
5078:
5077:
5075:
5074:
5067:
5060:
5052:
5050:
5046:
5045:
5043:
5042:
5035:
5028:
5021:
5014:
5007:
5000:
4993:
4986:
4985:
4984:
4970:
4962:
4960:
4951:
4950:
4948:
4947:
4944:Lunar distance
4940:
4933:
4926:
4919:
4918:
4917:
4916:
4915:
4894:
4887:
4884:Lunar calendar
4879:
4877:
4868:
4867:
4865:
4864:
4857:
4850:
4849:
4848:
4834:
4827:
4820:
4819:
4818:
4811:
4808:Apollo program
4796:
4794:
4788:
4787:
4785:
4784:
4777:
4776:
4775:
4768:
4754:
4753:
4752:
4745:
4733:
4732:
4731:
4724:
4717:
4710:
4709:
4708:
4687:
4686:
4685:
4684:
4683:
4676:
4655:
4648:
4641:
4633:
4631:
4627:
4626:
4624:
4623:
4616:
4609:
4602:
4601:
4600:
4593:
4590:Micrometeorite
4579:
4572:
4571:
4570:
4567:Changesite-(Y)
4563:
4549:
4546:Wrinkle ridges
4542:
4535:
4534:
4533:
4519:
4518:
4517:
4510:
4503:
4496:
4482:
4481:
4480:
4473:
4466:
4452:
4445:
4444:
4443:
4429:
4428:
4427:
4413:
4412:
4411:
4410:
4409:
4395:
4383:
4382:
4381:
4374:
4362:
4355:
4348:
4340:
4338:
4330:
4329:
4327:
4326:
4319:
4318:
4317:
4310:
4303:
4296:
4282:
4281:
4280:
4273:
4272:
4271:
4264:
4257:
4250:
4249:
4248:
4241:
4220:
4213:
4199:
4198:
4197:
4190:
4189:
4188:
4174:
4167:
4166:
4165:
4144:
4141:Lunar distance
4136:
4134:
4128:
4127:
4120:
4118:
4116:
4115:
4114:
4113:
4099:
4092:
4089:Magnetic field
4085:
4084:
4083:
4069:
4062:
4055:
4047:
4045:
4039:
4038:
4033:
4030:
4029:
4024:
4022:
4021:
4014:
4007:
3999:
3993:
3992:
3980:
3973:
3972:External links
3970:
3969:
3968:
3941:
3926:
3899:
3884:
3857:
3842:
3829:
3814:
3801:
3786:
3759:
3744:
3717:
3700:
3697:
3694:
3693:
3672:
3652:
3621:
3591:
3538:
3507:
3505:cited therein.
3395:
3315:
3287:
3256:
3229:
3202:
3151:
3140:Universe Today
3126:
3079:
3078:
3076:
3073:
3070:
3069:
3055:
3054:
3052:
3049:
3048:
3047:
3042:
3037:
3032:
3024:
3019:
3017:Laplace sphere
3012:
3009:
2998:
2997:
2994:
2991:
2988:
2985:
2982:
2976:
2975:
2972:
2969:
2966:
2963:
2960:
2954:
2953:
2950:
2947:
2944:
2941:
2938:
2932:
2931:
2928:
2925:
2922:
2919:
2916:
2910:
2909:
2906:
2903:
2900:
2897:
2894:
2888:
2887:
2884:
2881:
2878:
2875:
2872:
2866:
2865:
2862:
2859:
2856:
2853:
2850:
2844:
2843:
2840:
2837:
2834:
2831:
2828:
2822:
2821:
2818:
2815:
2812:
2809:
2806:
2800:
2799:
2796:
2793:
2790:
2787:
2784:
2778:
2777:
2774:
2771:
2768:
2765:
2762:
2756:
2755:
2752:
2747:
2744:
2739:
2736:
2718:
2715:
2635:
2634:
2617:September 2018
2593:
2591:
2584:
2578:
2575:
2545:
2544:
2504:
2502:
2495:
2489:
2486:
2481:
2469:
2465:
2458:
2453:
2428:
2413:
2412:
2401:
2395:
2389:
2386:
2382:
2376:
2371:
2365:
2360:
2343:
2342:
2331:
2328:
2324:
2318:
2312:
2307:
2301:
2297:
2289:
2285:
2281:
2276:
2269:
2263:
2258:
2254:
2249:
2245:
2239:
2233:
2228:
2222:
2219:
2215:
2207:
2203:
2199:
2194:
2190:
2184:
2178:
2173:
2167:
2164:
2161:
2157:
2149:
2145:
2141:
2136:
2129:
2123:
2118:
2114:
2089:
2085:
2078:
2073:
2061:
2060:
2049:
2046:
2043:
2039:
2033:
2027:
2022:
2016:
2013:
2009:
2001:
1997:
1993:
1988:
1983:
1980:
1975:
1969:
1963:
1958:
1952:
1949:
1945:
1936:
1932:
1928:
1923:
1916:
1910:
1905:
1901:
1876:
1873:
1870:
1841:
1837:
1832:
1829:
1822:
1819:
1799:
1788:
1787:
1776:
1773:
1770:
1767:
1761:
1756:
1752:
1749:
1746:
1741:
1737:
1733:
1725:
1721:
1714:
1709:
1705:
1702:
1699:
1694:
1691:
1685:
1678:
1672:
1667:
1662:
1659:
1630:
1625:
1604:
1584:
1564:
1544:
1531:
1530:
1481:
1479:
1472:
1466:
1463:
1459:
1458:
1444:
1440:
1437:
1431:
1424:
1420:
1414:
1408:
1403:
1397:
1375:
1371:
1368:
1362:
1358:
1354:
1351:
1344:
1340:
1334:
1328:
1323:
1264:
1263:
1178:
1176:
1169:
1163:
1160:
1156:
1155:
1144:
1138:
1132:
1127:
1123:
1119:
1114:
1110:
1106:
1103:
1097:
1093:
1086:
1083:
1080:
1077:
1074:
1071:
1068:
1062:
1057:
1026:
1021:
1000:
976:
953:
950:
929:
928:
913:
907:
902:
898:
894:
889:
885:
881:
878:
872:
868:
861:
858:
852:
847:
814:
813:
793:
791:
784:
778:
775:
754:
747:
674:Laplace sphere
644:
643:
641:
640:
633:
626:
618:
615:
614:
611:
610:
605:
599:
596:
595:
592:
591:
588:
587:
582:
580:Gravity assist
576:
573:
572:
569:
568:
565:
564:
559:
554:
549:
543:
540:
539:
536:
535:
528:
525:
524:
521:
520:
515:
507:
506:
498:
494:
493:
488:
487:
484:
483:
480:
479:
474:
469:
464:
458:
455:
454:
451:
450:
443:
440:
439:
436:
435:
430:
425:
420:
415:
413:Orbital period
410:
405:
400:
395:
389:
386:
385:
382:
381:
378:
377:
375:Decaying orbit
372:
367:
362:
354:
353:
347:
340:
338:Transfer orbit
336:
335:
334:
332:Elliptic orbit
329:
327:Circular orbit
323:
314:
313:
310:
309:
306:
305:
300:
295:
290:
285:
280:
275:
270:
264:
259:
258:
255:
254:
247:
244:
243:
235:
234:
230:
229:
212:
211:
194:
193:
162:. Please help
149:The article's
148:
146:
139:
132:
131:
90:
88:
81:
76:
50:
49:
47:
40:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
6217:
6206:
6203:
6201:
6198:
6196:
6193:
6192:
6190:
6180:
6175:
6170:
6168:
6158:
6156:
6146:
6144:
6134:
6132:
6127:
6122:
6120:
6110:
6108:
6103:
6098:
6096:
6091:
6086:
6082:
6069:
6061:
6060:
6057:
6051:
6048:
6046:
6043:
6041:
6038:
6036:
6033:
6031:
6028:
6026:
6023:
6021:
6018:
6016:
6015:-body problem
6014:
6010:
6008:
6005:
6003:
6000:
5998:
5995:
5993:
5990:
5988:
5985:
5983:
5980:
5978:
5975:
5973:
5970:
5968:
5965:
5963:
5960:
5959:
5957:
5955:
5949:
5943:
5940:
5938:
5935:
5933:
5930:
5928:
5925:
5923:
5920:
5918:
5917:Oberth effect
5915:
5913:
5910:
5908:
5905:
5903:
5900:
5898:
5895:
5893:
5890:
5888:
5885:
5883:
5880:
5878:
5875:
5873:
5870:
5869:
5867:
5865:
5861:
5851:
5843:
5839:
5837:
5836:Orbital speed
5830:
5828:
5821:
5819:
5812:
5811:
5809:
5805:
5799:
5792:
5790:
5783:
5781:
5774:
5772:
5757:
5755:
5748:
5747:
5745:
5741:
5735:
5728:
5726:
5719:
5717:
5710:
5708:
5701:
5700:
5698:
5694:
5688:
5677:
5675:
5668:
5666:
5659:
5657:
5650:
5649:
5647:
5641:
5638:
5637:
5634:
5631:
5629:
5625:
5613:
5610:
5609:
5607:
5603:
5600:
5598:
5595:
5591:
5590:Earth's orbit
5588:
5587:
5586:
5583:
5582:
5580:
5578:
5575:
5571:
5568:
5566:
5563:
5561:
5558:
5556:
5553:
5552:
5550:
5546:
5543:
5541:
5538:
5536:
5533:
5532:
5530:
5529:
5527:
5521:
5515:
5512:
5510:
5507:
5505:
5502:
5500:
5497:
5495:
5492:
5490:
5487:
5485:
5482:
5480:
5477:
5475:
5472:
5470:
5467:
5465:
5462:
5460:
5457:
5453:
5450:
5448:
5447:Geostationary
5445:
5444:
5443:
5440:
5439:
5437:
5435:
5431:
5425:
5422:
5418:
5415:
5413:
5410:
5409:
5408:
5405:
5403:
5400:
5398:
5395:
5393:
5390:
5388:
5385:
5383:
5380:
5378:
5375:
5373:
5369:
5366:
5364:
5361:
5359:
5356:
5354:
5351:
5349:
5345:
5342:
5340:
5337:
5335:
5332:
5330:
5327:
5326:
5324:
5320:
5317:
5315:
5311:
5307:
5299:
5294:
5292:
5287:
5285:
5280:
5279:
5276:
5263:
5254:
5253:
5250:
5243:
5239:
5236:
5232:
5229:
5228:Double planet
5225:
5222:
5218:
5214:
5209:
5206:
5202:
5199:
5195:
5190:
5186:
5183:
5179:
5176:
5172:
5169:
5165:
5164:
5162:
5158:
5155:
5151:
5148:
5144:
5141:
5137:
5132:
5128:
5125:
5121:
5120:
5118:
5114:
5111:
5110:Moon illusion
5107:
5104:
5100:
5097:
5093:
5090:
5089:Lunar deities
5086:
5085:
5083:
5079:
5072:
5068:
5065:
5061:
5058:
5054:
5053:
5051:
5047:
5040:
5036:
5033:
5029:
5026:
5022:
5019:
5015:
5012:
5008:
5005:
5001:
4998:
4994:
4991:
4987:
4982:
4978:
4977:
4975:
4971:
4968:
4964:
4963:
4961:
4956:
4952:
4945:
4941:
4938:
4937:Lunar station
4934:
4931:
4927:
4924:
4920:
4913:
4909:
4908:
4906:
4902:
4901:
4899:
4895:
4892:
4888:
4885:
4881:
4880:
4878:
4876:
4871:Time-telling
4869:
4862:
4858:
4855:
4851:
4846:
4842:
4841:
4839:
4835:
4832:
4828:
4825:
4821:
4816:
4812:
4809:
4805:
4804:
4802:
4798:
4797:
4795:
4793:
4789:
4782:
4778:
4773:
4769:
4766:
4762:
4761:
4759:
4755:
4750:
4746:
4743:
4739:
4738:
4734:
4729:
4725:
4722:
4718:
4715:
4711:
4706:
4702:
4701:
4699:
4695:
4694:
4692:
4688:
4681:
4677:
4674:
4670:
4669:
4667:
4663:
4662:
4660:
4656:
4653:
4649:
4646:
4642:
4639:
4635:
4634:
4632:
4628:
4621:
4617:
4614:
4610:
4607:
4603:
4598:
4594:
4591:
4587:
4586:
4584:
4580:
4577:
4573:
4568:
4564:
4561:
4557:
4556:
4554:
4550:
4547:
4543:
4540:
4536:
4531:
4527:
4526:
4524:
4520:
4515:
4511:
4508:
4504:
4501:
4497:
4494:
4490:
4489:
4487:
4483:
4478:
4474:
4471:
4467:
4464:
4460:
4459:
4457:
4453:
4450:
4446:
4441:
4437:
4436:
4434:
4430:
4425:
4421:
4420:
4418:
4414:
4407:
4403:
4402:
4400:
4396:
4393:
4389:
4388:
4384:
4379:
4375:
4372:
4368:
4367:
4363:
4360:
4356:
4353:
4349:
4346:
4342:
4341:
4339:
4337:
4331:
4324:
4323:Lunar station
4320:
4315:
4311:
4308:
4304:
4301:
4300:Tidal locking
4297:
4294:
4290:
4289:
4287:
4283:
4278:
4274:
4269:
4268:Eclipse cycle
4265:
4262:
4258:
4255:
4254:Solar eclipse
4251:
4246:
4242:
4239:
4235:
4234:
4232:
4231:Lunar eclipse
4228:
4227:
4225:
4221:
4218:
4214:
4211:
4207:
4206:
4204:
4200:
4195:
4191:
4186:
4182:
4181:
4179:
4175:
4172:
4168:
4163:
4159:
4158:
4156:
4152:
4151:
4149:
4145:
4142:
4138:
4137:
4135:
4133:
4129:
4124:
4111:
4107:
4106:
4104:
4100:
4097:
4093:
4090:
4086:
4081:
4077:
4076:
4074:
4073:Gravity field
4070:
4067:
4063:
4060:
4056:
4053:
4049:
4048:
4046:
4040:
4036:
4031:
4027:
4020:
4015:
4013:
4008:
4006:
4001:
4000:
3997:
3991:
3987:
3984:
3981:
3979:
3976:
3975:
3971:
3965:
3959:
3944:
3942:9789401007122
3938:
3934:
3933:
3927:
3923:
3917:
3902:
3900:9789401007122
3896:
3892:
3891:
3885:
3881:
3875:
3860:
3858:9789401007122
3854:
3850:
3849:
3843:
3832:
3830:9781000116717
3826:
3822:
3821:
3815:
3804:
3802:9781000116717
3798:
3794:
3793:
3787:
3783:
3777:
3762:
3760:9781316195697
3756:
3752:
3751:
3745:
3741:
3735:
3720:
3718:9781316195697
3714:
3710:
3709:
3703:
3702:
3698:
3682:
3676:
3673:
3668:
3667:
3662:
3656:
3653:
3641:
3637:
3636:
3631:
3630:"HD 209458 b"
3625:
3622:
3610:
3606:
3604:
3595:
3592:
3587:
3583:
3579:
3575:
3571:
3567:
3563:
3559:
3555:
3551:
3550:
3542:
3539:
3535:
3524:
3523:
3518:
3511:
3508:
3502:
3496:
3481:
3477:
3473:
3469:
3465:
3461:
3454:
3446:
3440:
3431:
3426:
3422:
3418:
3414:
3410:
3406:
3399:
3396:
3391:
3387:
3381:
3373:
3369:
3364:
3359:
3355:
3351:
3346:
3341:
3337:
3333:
3329:
3322:
3320:
3316:
3311:
3305:
3290:
3288:9781316195697
3284:
3280:
3279:
3271:
3269:
3267:
3265:
3263:
3261:
3257:
3244:
3240:
3233:
3230:
3225:
3221:
3217:
3213:
3206:
3203:
3198:
3194:
3190:
3186:
3182:
3178:
3174:
3170:
3166:
3162:
3155:
3152:
3141:
3137:
3130:
3127:
3121:
3116:
3111:
3106:
3102:
3098:
3094:
3087:
3085:
3081:
3074:
3066:
3060:
3057:
3050:
3046:
3043:
3041:
3038:
3036:
3033:
3031:
3030:-body problem
3029:
3025:
3023:
3020:
3018:
3015:
3014:
3010:
3004:
2995:
2992:
2989:
2986:
2983:
2981:
2978:
2977:
2973:
2970:
2967:
2964:
2961:
2959:
2956:
2955:
2951:
2948:
2945:
2942:
2939:
2937:
2934:
2933:
2929:
2926:
2923:
2920:
2917:
2915:
2912:
2911:
2907:
2904:
2901:
2898:
2895:
2893:
2890:
2889:
2885:
2882:
2879:
2876:
2873:
2871:
2868:
2867:
2863:
2860:
2857:
2854:
2851:
2849:
2846:
2845:
2841:
2838:
2835:
2832:
2829:
2827:
2824:
2823:
2819:
2816:
2813:
2810:
2807:
2805:
2802:
2801:
2797:
2794:
2791:
2788:
2785:
2783:
2780:
2779:
2775:
2772:
2769:
2766:
2763:
2761:
2758:
2757:
2753:
2751:
2748:
2745:
2743:
2740:
2737:
2734:
2733:
2727:
2725:
2716:
2714:
2712:
2708:
2704:
2700:
2696:
2691:
2689:
2685:
2681:
2677:
2676:asteroid belt
2673:
2669:
2665:
2660:
2658:
2654:
2650:
2645:
2644:Space Shuttle
2642:
2631:
2628:
2620:
2610:
2606:
2600:
2599:
2594:This section
2592:
2588:
2583:
2582:
2576:
2574:
2571:
2567:
2562:
2558:
2556:
2552:
2541:
2538:
2530:
2520:
2515:
2511:
2510:
2505:This section
2503:
2494:
2493:
2487:
2485:
2467:
2463:
2451:
2441:
2426:
2418:
2399:
2393:
2387:
2384:
2380:
2374:
2369:
2358:
2348:
2347:
2346:
2329:
2326:
2322:
2316:
2305:
2299:
2295:
2287:
2283:
2279:
2274:
2267:
2256:
2252:
2247:
2243:
2237:
2226:
2220:
2217:
2213:
2205:
2201:
2197:
2192:
2188:
2182:
2171:
2165:
2162:
2159:
2155:
2147:
2143:
2139:
2134:
2127:
2116:
2112:
2103:
2102:
2101:
2087:
2083:
2071:
2047:
2044:
2041:
2037:
2031:
2020:
2014:
2011:
2007:
1999:
1995:
1991:
1986:
1981:
1978:
1973:
1967:
1956:
1950:
1947:
1943:
1934:
1930:
1926:
1921:
1914:
1903:
1899:
1890:
1889:
1888:
1874:
1871:
1868:
1860:
1839:
1835:
1830:
1827:
1820:
1797:
1774:
1771:
1768:
1754:
1750:
1747:
1739:
1731:
1723:
1707:
1703:
1700:
1692:
1689:
1683:
1676:
1665:
1660:
1657:
1647:
1646:
1645:
1623:
1602:
1582:
1562:
1542:
1527:
1524:
1516:
1506:
1502:
1498:
1492:
1491:
1487:
1482:This section
1480:
1476:
1471:
1470:
1464:
1462:
1442:
1438:
1435:
1429:
1422:
1418:
1412:
1401:
1395:
1373:
1369:
1366:
1360:
1356:
1352:
1349:
1342:
1338:
1332:
1321:
1311:
1310:
1309:
1306:
1304:
1300:
1275:
1270:
1260:
1257:
1249:
1246:December 2023
1238:
1235:
1231:
1228:
1224:
1221:
1217:
1214:
1210:
1207: –
1206:
1205:"Hill sphere"
1202:
1201:Find sources:
1195:
1191:
1185:
1184:
1179:This section
1177:
1173:
1168:
1167:
1161:
1159:
1142:
1136:
1125:
1121:
1117:
1112:
1108:
1101:
1095:
1091:
1081:
1078:
1075:
1069:
1066:
1055:
1047:
1046:
1045:
1043:
1019:
998:
990:
974:
967:
951:
948:
939:
937:
911:
900:
896:
892:
887:
883:
876:
870:
866:
859:
856:
845:
837:
836:
835:
831:
829:
825:
820:
810:
801:
797:
794:This section
792:
788:
783:
782:
776:
774:
772:
768:
764:
759:
757:
750:
744:
740:
736:
732:
724:
719:
715:
712:
708:
703:
701:
700:Édouard Roche
697:
693:
690:
687:
683:
679:
675:
671:
667:
663:
659:
655:
651:
639:
634:
632:
627:
625:
620:
619:
617:
616:
609:
606:
604:
601:
600:
594:
593:
586:
585:Oberth effect
583:
581:
578:
577:
571:
570:
563:
560:
558:
555:
553:
550:
548:
545:
544:
538:
537:
533:
526:
519:
516:
514:
511:
510:
504:
500:
499:
497:
491:
490:N-body orbits
486:
485:
478:
475:
473:
472:Perturbations
470:
468:
465:
463:
460:
459:
453:
452:
448:
441:
434:
431:
429:
426:
424:
421:
419:
416:
414:
411:
409:
406:
404:
401:
399:
396:
394:
391:
390:
384:
383:
376:
373:
371:
368:
366:
363:
361:
358:
357:
351:
348:
346:
342:
341:
339:
333:
330:
328:
325:
324:
318:
312:
311:
304:
301:
299:
296:
294:
293:Orbital nodes
291:
289:
286:
284:
281:
279:
276:
274:
271:
269:
266:
265:
262:
257:
256:
252:
245:
241:
237:
236:
233:Astrodynamics
231:
227:
226:
218:
208:
205:
190:
187:
179:
169:
166:and read the
165:
161:
155:
152:
147:
138:
137:
128:
125:
117:
107:
101:
100:
96:
89:
80:
79:
74:
72:
65:
64:
59:
58:
53:
48:
39:
38:
33:
19:
6167:Solar System
6030:Perturbation
6012:
5991:
5987:Ground track
5897:Gravity turn
5848:
5841:
5834:
5825:
5816:
5796:
5787:
5778:
5771:True anomaly
5769:
5754:Mean anomaly
5752:
5732:
5723:
5714:
5705:
5685:
5672:
5663:
5656:Eccentricity
5654:
5612:Lunar cycler
5585:Heliocentric
5525:other points
5474:Medium Earth
5372:Non-inclined
5096:Lunar effect
4912:Nodal period
4838:Colonization
4652:Lunar theory
4345:Selenography
4185:Nodal period
4079:
3946:. Retrieved
3931:
3904:. Retrieved
3889:
3862:. Retrieved
3847:
3834:. Retrieved
3819:
3806:. Retrieved
3791:
3764:. Retrieved
3749:
3722:. Retrieved
3707:
3685:. Retrieved
3675:
3664:
3655:
3644:. Retrieved
3633:
3624:
3612:. Retrieved
3608:
3602:
3594:
3553:
3547:
3541:
3533:
3526:. Retrieved
3520:
3510:
3495:cite journal
3483:. Retrieved
3463:
3459:
3439:cite journal
3412:
3408:
3398:
3380:cite journal
3335:
3331:
3292:. Retrieved
3277:
3247:. Retrieved
3242:
3232:
3215:
3211:
3205:
3164:
3160:
3154:
3143:. Retrieved
3139:
3129:
3100:
3096:
3065:angular size
3059:
3027:
2720:
2711:Roche limits
2692:
2684:66391 Moshup
2664:Solar System
2661:
2638:
2623:
2614:
2603:Please help
2598:verification
2595:
2563:
2559:
2548:
2533:
2524:
2513:
2506:
2442:
2414:
2344:
2062:
1789:
1534:
1519:
1510:
1495:Please help
1483:
1460:
1307:
1280:
1274:Roche limits
1252:
1243:
1233:
1226:
1219:
1212:
1200:
1188:Please help
1183:verification
1180:
1157:
989:eccentricity
940:
932:
930:
832:
827:
824:Solar System
821:
817:
804:
800:adding to it
795:
760:
731:Solar System
728:
704:
678:Roche sphere
677:
669:
661:
649:
647:
466:
370:Radial orbit
321:eccentricity
303:True anomaly
288:Mean anomaly
278:Eccentricity
200:
182:
173:
153:
151:lead section
120:
111:
92:
68:
61:
55:
54:Please help
51:
6155:Outer space
6143:Spaceflight
6107:Mathematics
5992:Hill sphere
5827:Mean motion
5707:Inclination
5696:Orientation
5597:Mars cycler
5535:Areocentric
5407:Synchronous
5205:Moon Treaty
5189:Hollow Moon
5131:Moon rabbit
5103:Earth phase
4905:Lunar month
4792:Exploration
4736:Experiments
4638:Observation
4500:Ray systems
4365:Hemispheres
4333:Surface and
4314:Tidal range
4293:Tidal force
4096:Sodium tail
4080:Hill sphere
2703:HD 209458 b
2699:hot Jupiter
2662:Within the
698:astronomer
682:Roche limit
650:Hill sphere
503:Halo orbits
467:Hill sphere
283:Inclination
32:Hills cloud
18:Hill radius
6189:Categories
5932:Rendezvous
5628:Parameters
5464:High Earth
5434:Geocentric
5387:Osculating
5344:Elliptical
5175:Apollo era
5117:Pareidolia
4875:navigation
4597:Sputtering
4477:Lava tubes
4399:South pole
4392:North pole
4352:Terminator
4194:Precession
4110:Earthshine
4066:Atmosphere
4059:Topography
4044:properties
3687:2020-12-22
3646:2010-02-16
3345:1702.07352
3145:2023-11-08
3110:2005.13059
3075:References
3035:Roche lobe
2750:Arcminutes
2746:Body radii
2738:Million km
2695:extrasolar
2693:A typical
1465:Derivation
1295:10 kg
1287:10 kg
1216:newspapers
1042:pericenter
777:Definition
689:astronomer
547:Mass ratio
462:Barycenter
176:April 2024
57:improve it
6119:Astronomy
5977:Ephemeris
5954:mechanics
5864:Maneuvers
5807:Variation
5570:Libration
5565:Lissajous
5469:Low Earth
5459:Graveyard
5358:Horseshoe
4923:Fortnight
4815:Explorers
4772:Apollo 17
4765:Apollo 11
4728:Volcanism
4698:Timescale
4645:Libration
4433:Mountains
4371:Near side
4277:Supermoon
4217:Full moon
4171:Libration
4103:Moonlight
3958:cite book
3916:cite book
3874:cite book
3776:cite book
3734:cite book
3605:Squannit"
3449:See also
3372:119036212
3304:cite book
3197:246637375
3189:1323-3580
2674:from the
2527:July 2023
2417:apocenter
2375:≈
2327:≈
2275:−
2221:−
2135:−
2015:−
1979:−
1951:−
1922:−
1872:≪
1859:Keplerian
1818:Ω
1751:−
1736:Ω
1704:−
1684:−
1513:July 2023
1484:does not
1430:≈
1350:≈
1079:−
1067:≈
987:, and an
857:≈
807:July 2023
387:Equations
315:Types of
114:July 2023
95:citations
63:talk page
5743:Position
5368:Inclined
5339:Circular
5262:Category
5057:Moonrise
4990:Crescent
4930:Sennight
4845:Moonbase
4801:Missions
4470:Calderas
4378:Far side
4336:features
4224:Eclipses
4210:New moon
4155:Distance
4042:Physical
3986:Archived
3640:Archived
3614:30 March
3586:16382419
3578:12748635
3249:July 22,
3011:See also
2996:0.00025
2974:0.00043
2918:115.0307
2842:0.00016
2820:0.00257
2707:CoRoT-7b
2672:asteroid
2419:, where
1857:is the (
686:American
6179:Science
6095:Physics
6081:Portals
5952:Orbital
5922:Phasing
5882:Delta-v
5687:Apsides
5681:,
5479:Molniya
5397:Parking
5334:Capture
5322:General
5081:Related
5071:Moonset
4854:Tourism
4831:Landing
4691:Geology
4630:Science
4486:Craters
4449:Valleys
4035:Outline
3948:22 July
3906:22 July
3864:22 July
3836:22 July
3808:22 July
3766:22 July
3724:22 July
3669:. 2024.
3558:Bibcode
3528:23 July
3485:22 July
3468:Bibcode
3417:Bibcode
3350:Bibcode
3294:22 July
3220:Bibcode
3218:: 787.
3169:Bibcode
2930:0.3360
2914:Neptune
2908:0.1366
2896:66.7831
2886:0.1785
2874:61.6340
2864:0.1662
2852:50.5736
2848:Jupiter
2760:Mercury
2680:1 Ceres
2668:Neptune
2553:or the
1505:removed
1490:sources
1388:, or
1277:Earth).
1230:scholar
666:primary
6200:Orbits
5608:Other
5509:Tundra
5377:Kepler
5353:Escape
5306:orbits
5039:Tetrad
4955:Phases
4824:Probes
4659:Origin
4606:Quakes
4539:Rilles
4530:swirls
4245:Tetrad
4203:Syzygy
3939:
3897:
3855:
3827:
3799:
3757:
3715:
3683:. NASA
3584:
3576:
3549:Nature
3460:Icarus
3409:Icarus
3370:
3285:
3195:
3187:
2990:6979.9
2987:0.0543
2984:8.1176
2968:5048.1
2965:0.0401
2962:5.9921
2943:0.0014
2940:0.2048
2924:4644.6
2921:0.7689
2902:2613.1
2899:0.4464
2892:Uranus
2880:1022.7
2877:0.4120
2870:Saturn
2855:0.3381
2833:0.0066
2830:0.9827
2811:0.0098
2808:1.4714
2789:0.0067
2786:1.0042
2767:0.0012
2764:0.1753
1790:where
1232:
1225:
1218:
1211:
1203:
696:French
6205:Tides
6131:Stars
5850:Epoch
5639:Shape
5577:Lunar
5531:Mars
5523:About
5494:Polar
5314:Types
5018:Black
5004:Blood
4981:Names
4959:names
4898:Month
4749:ALSEP
4721:KREEP
4673:Theia
4576:Water
4553:Rocks
4463:Domes
4417:Maria
4386:Poles
4178:Nodes
4132:Orbit
3582:S2CID
3456:(PDF)
3368:S2CID
3340:arXiv
3193:S2CID
3105:arXiv
2958:Pluto
2946:433.0
2936:Ceres
2883:147.8
2861:223.2
2858:707.4
2836:289.3
2814:230.7
2804:Earth
2792:165.9
2782:Venus
1237:JSTOR
1223:books
828:three
711:orbit
268:Apsis
5642:Size
5581:Sun
5560:Halo
5412:semi
5168:list
5025:Dark
5011:Blue
4974:Full
4873:and
4523:Soil
4493:List
4424:List
4406:Face
4359:Limb
4286:Tide
4026:Moon
3964:link
3950:2023
3937:ISBN
3922:link
3908:2023
3895:ISBN
3880:link
3866:2023
3853:ISBN
3838:2023
3825:ISBN
3810:2023
3797:ISBN
3782:link
3768:2023
3755:ISBN
3740:link
3726:2023
3713:ISBN
3616:2017
3574:PMID
3530:2023
3501:link
3487:2023
3445:link
3390:link
3386:link
3310:link
3296:2023
3283:ISBN
3251:2023
3185:ISSN
2980:Eris
2927:87.9
2905:80.0
2839:14.9
2826:Mars
2817:33.7
2795:31.8
2773:10.7
2770:71.9
2735:Body
2686:, a
2649:lead
1575:and
1488:any
1486:cite
1291:1.99
1283:5.97
1209:news
751:and
707:moon
648:The
5417:sub
5329:Box
5032:Wet
4967:New
4957:and
3603:and
3566:doi
3554:423
3476:doi
3425:doi
3358:doi
3336:153
3177:doi
3115:doi
3101:496
2993:2.7
2971:3.5
2949:1.7
2701:",
2641:ton
2607:by
1595:is
1499:by
1192:by
991:of
938:).
802:.
735:Sun
319:by
97:to
6191::
5765:,
5761:,
5370:/
5346:/
3960:}}
3956:{{
3918:}}
3914:{{
3876:}}
3872:{{
3778:}}
3774:{{
3736:}}
3732:{{
3663:.
3638:.
3632:.
3607:.
3580:.
3572:.
3564:.
3552:.
3532:.
3519:.
3497:}}
3493:{{
3474:.
3464:92
3462:.
3458:.
3441:}}
3437:{{
3423:.
3413:96
3411:.
3407:.
3382:}}
3378:{{
3366:.
3356:.
3348:.
3334:.
3330:.
3318:^
3306:}}
3302:{{
3259:^
3241:.
3214:.
3191:.
3183:.
3175:.
3165:39
3163:.
3138:.
3113:.
3099:.
3095:.
3083:^
2952:—
2798:—
2776:—
2742:au
2713:.
2330:0.
702:.
66:.
6083::
6013:n
5845:0
5842:t
5832:v
5823:n
5814:T
5794:l
5785:L
5776:E
5767:f
5763:θ
5759:ν
5750:M
5730:Ď–
5721:ω
5712:Ω
5703:i
5683:q
5679:Q
5670:b
5661:a
5652:e
5297:e
5290:t
5283:v
5215:"
5211:"
4018:e
4011:t
4004:v
3966:)
3952:.
3924:)
3910:.
3882:)
3868:.
3840:.
3812:.
3784:)
3770:.
3742:)
3728:.
3690:.
3649:.
3618:.
3588:.
3568::
3560::
3503:)
3489:.
3478::
3470::
3447:)
3433:.
3427::
3419::
3392:)
3374:.
3360::
3352::
3342::
3312:)
3298:.
3253:.
3226:.
3222::
3216:8
3199:.
3179::
3171::
3148:.
3123:.
3117::
3107::
3028:n
2697:"
2630:)
2624:(
2619:)
2615:(
2601:.
2540:)
2534:(
2529:)
2525:(
2482:1
2468:r
2464:/
2457:H
2452:r
2427:r
2400:.
2394:3
2388:M
2385:3
2381:m
2370:r
2364:H
2359:r
2323:)
2317:r
2311:H
2306:r
2300:3
2296:(
2288:2
2284:r
2280:M
2268:2
2262:H
2257:r
2253:m
2248:=
2244:)
2238:r
2232:H
2227:r
2218:1
2214:(
2206:2
2202:r
2198:M
2193:+
2189:)
2183:r
2177:H
2172:r
2166:2
2163:+
2160:1
2156:(
2148:2
2144:r
2140:M
2128:2
2122:H
2117:r
2113:m
2088:r
2084:/
2077:H
2072:r
2048:,
2045:0
2042:=
2038:)
2032:r
2026:H
2021:r
2012:1
2008:(
2000:2
1996:r
1992:M
1987:+
1982:2
1974:)
1968:r
1962:H
1957:r
1948:1
1944:(
1935:2
1931:r
1927:M
1915:2
1909:H
1904:r
1900:m
1875:M
1869:m
1840:3
1836:r
1831:M
1828:G
1821:=
1798:G
1775:,
1772:0
1769:=
1766:)
1760:H
1755:r
1748:r
1745:(
1740:2
1732:+
1724:2
1720:)
1713:H
1708:r
1701:r
1698:(
1693:M
1690:G
1677:2
1671:H
1666:r
1661:m
1658:G
1629:H
1624:r
1603:r
1583:m
1563:M
1543:m
1526:)
1520:(
1515:)
1511:(
1507:.
1493:.
1457:,
1443:M
1439:2
1436:m
1423:3
1419:a
1413:3
1407:H
1402:R
1396:3
1374:M
1370:2
1367:m
1361:3
1357:/
1353:1
1343:3
1339:a
1333:3
1327:H
1322:R
1293:Ă—
1285:Ă—
1259:)
1253:(
1248:)
1244:(
1234:·
1227:·
1220:·
1213:·
1186:.
1143:.
1137:3
1131:)
1126:2
1122:m
1118:+
1113:1
1109:m
1105:(
1102:3
1096:2
1092:m
1085:)
1082:e
1076:1
1073:(
1070:a
1061:H
1056:R
1025:H
1020:R
999:e
975:a
952:2
949:m
935:p
933:r
927:,
912:3
906:)
901:2
897:m
893:+
888:1
884:m
880:(
877:3
871:2
867:m
860:a
851:H
846:R
809:)
805:(
755:2
753:L
748:1
746:L
725:.
670:M
668:(
662:m
660:(
637:e
630:t
623:v
505:)
501:(
352:)
343:(
207:)
201:(
189:)
183:(
178:)
174:(
170:.
156:.
127:)
121:(
116:)
112:(
102:.
73:)
69:(
34:.
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
