Knowledge (XXG)

Proper motion

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142 km/s. True or absolute motion is more difficult to measure than the proper motion, because the true transverse velocity involves the product of the proper motion times the distance. As shown by this formula, true velocity measurements depend on distance measurements, which are difficult in general.
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Stars with large proper motions tend to be nearby; most stars are far enough away that their proper motions are very small, on the order of a few thousandths of an arcsecond per year. It is possible to construct nearly complete samples of high proper motion stars by comparing photographic sky survey
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The positive axes of the two components of its usually annually measured or published shift in proper motion are the exaggerated red arrows, note: the right arrows point to the east horizon. One red annotation is subtly shorter as the cosine of a star resting at 0° declination is 1, so such a star's
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For most stars seen in the sky, the observed proper motions are small and unremarkable. Such stars are often either faint or are significantly distant, have changes of below 0.01″ per year, and do not appear to move appreciably over many millennia. A few do have significant motions, and are usually
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A proper motion of 1 arcsec per year 1 light-year away corresponds to a relative transverse speed of 1.45 km/s. Barnard's Star's transverse speed is 90 km/s and its radial velocity is 111 km/s (perpendicular (at a right, 90° angle), which gives a true or "space" motion of
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in the M106 group of galaxies was used in 1999 to find an accurate distance to this object. Measurements were made of the radial motion of objects in that galaxy moving directly toward and away from Earth, and assuming this same motion to apply to objects with only a proper motion, the observed
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of these surveys are well understood and quantifiable, studies have confirmed more and inferred approximate quantities of unseen stars – revealing and confirming more by studying them further, regardless of brightness, for instance. Studies of this kind show most of the nearest stars are
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is the distance (usually expressed as annual velocity) transverse (tangential or perpendicular) to line of sight from the Sun. The angle is shaded light blue from the Sun to the object's start point and its year later position as if it had no radial
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in the southern sky, look nearly the same now as they did hundreds of years ago. However, precise long-term observations show that such constellations change shape, albeit very slowly, and that each star has an independent
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An ideal time to measure exactly such a small annual shift is at culmination. The culmination of the star is daily reached when the observer (and Earth) passes as shown by the blue arrows "beneath" the
841:(HIP) have already been converted. Hence, the individual proper motions in right ascension and declination are made equivalent for straightforward calculations of various other stellar motions. 971: 1215:, as in "the city proper") meaning "belonging to" or "own". "Improper motion" would refer to perceived motion that is nothing to do with an object's inherent course, such as due to Earth's 801:, being zero for a hypothetical object fixed at a celestial pole in declination. Thus, a co-efficient is given to negate the misleadingly greater east or west velocity (angular change in 1024:
has the largest proper motion of all stars, moving at 10.3″ yr. Large proper motion usually strongly indicates an object is close to the Sun. This is so for Barnard's Star, about 6
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Stellar proper motions have been used to infer the presence of a super-massive black hole at the center of the Milky Way. This now confirmed to exist black hole is called
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Measurement of the proper motions of a large sample of stars in a distant stellar system, like a globular cluster, can be used to compute the cluster's total mass via the
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Ghez, Andrea M.; et al. (2003). "The First Measurement of Spectral Lines in a Short-Period Star Bound to the Galaxy's Central Black Hole: A Paradox of Youth".
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A. Brunthaler; M.J. Reid; H. Falcke; L.J. Greenhill; C. Henkel (2005). "The Geometric Distance and Proper Motion of the Triangulum Galaxy (M33)".
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M33, the third largest and only ordinary spiral galaxy in the Local Group, located 0.860 ± 0.028 Mpc beyond the Milky Way. The motion of the
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Over the course of centuries, stars appear to maintain nearly fixed positions with respect to each other, so that they form the same
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J. R. Herrnstein; et al. (1999). "A geometric distance to the galaxy NGC4258 from orbital motions in a nuclear gas disk".
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or powerful binoculars. Of the stars visible to the naked eye (conservatively limiting unaided visual magnitude to 6.0),
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The lesser meaning of "proper" used is arguably dated English (but neither historic, nor obsolete when used as a
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to become a component of the proper motion, is sometimes called the "proper motion in right ascension", and
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is one source of such images. In the past, searches for high proper motion objects were undertaken using
387:(symbols: arcsec/yr, as/yr, ″/yr, ″ yr) or milliarcseconds per year (symbols: mas/yr, mas yr). 234:
and its motion from the galactic frame of reference – that is motion in respect to the Sun, and by
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are discussed in detail in Röser. In 2005, the first measurement was made of the proper motion of the
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of proper motion by convention are arrived at as follows. Suppose an object moves from coordinates (α
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In this diagram the radial velocity happens to be one of the Sun and object parting, so is positive.
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Lemay, Damien (1992). "Book-Review – Sky Catalogue 2000.0 – V.1 – Stars to Magnitude 8.0 ED.2".
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of all 24 hours of Right Ascension (the measure of absolute celestial east–west position), the
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can scan digitized images, or comparisons to star catalogs obtained by satellites. As any
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accounts for the widening of the lines (hours) of right ascension away from the poles, cos
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Proper motion may alternatively be defined by the angular changes per year in the star's
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were over half a degree away from the positions charted by the ancient Greek astronomer
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at a speed of about 220 km/s at a radius of 8,000 parsecs (26,000 ly) from
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east or west shift would not need to be multiplied by the cosine of its declination.
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which can be taken as the rate of rotation of the Milky Way itself at this radius.
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Akhmetov, V. S.; Fedorov, P. N.; Velichko, A. B.; Shulga, V. M. (2017-07-21).
1702:"Stellar motions: parallax, proper motion, radial velocity and space velocity" 1274: 1205: 1132: 1049: 1025: 993:
Motions can also be in almost seemingly random directions. Two or more stars,
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invalidated by moving to a neighbouring constellation – it is now in
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Reviews in Modern Astronomy: From Cosmological Structures to the Milky Way
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A Treatise on Practical Astronomy, as Applied to Geodesy and Navigation
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units of distance from the Sun, and its light moved in a year by angle
1785:"The PMA Catalogue: 420 million positions and absolute proper motions" 1001:, which are moving in similar directions, exhibit so-called shared or 3611: 3599: 2818: 2704: 1535:
Abraham Loeb; Mark J. Reid; Andreas Brunthaler; Heino Falcke (2005).
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Relation between proper motion and velocity components of an object.
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Y Sofu & V Rubin (2001). "Rotation Curves of Spiral Galaxies".
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5.20) has the highest proper motion at 5.281″ yr, discounting
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This motion is caused by the movement of the stars relative to the
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In red the diagram adds the components of proper motion across the
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allows calculations of an object's motion from the Solar System's
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Motions in equatorial coordinates can be converted to motions in
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If the proper motion in right ascension has been converted by cos
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Proper motion was suspected by early astronomers (according to
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is predicted in about 4.5 billion years. Proper motion of the
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Measure of observed changes in the apparent locations of stars
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to examine the images by eye. More modern techniques such as
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D. Scott Birney; Guillermo Gonzalez; David Oesper (2007).
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D. Scott Birney; Guillermo Gonzalez; David Oesper (2007).
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Philosophical Transactions of the Royal Society of London
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Matra Marconi Space, Alenia Spazio (September 15, 2003).
379:. The first is the direction of the proper motion on the 2148: 3677: 931: 857: 712: 610: 523: 452: 99: 65: 254:
The celestial north and south poles are above/below
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Journal of the Royal Astronomical Society of Canada
1188:AD 400) but a proof was not provided until 1718 by 1164:proper motion predicts a distance to the galaxy of 1738:Hipparcos: Catalogues: The Millennium Star Atlas: 1310: 966:{\displaystyle \mu \cos \theta =\mu _{\delta }\ .} 965: 916: 778: 692: 582: 508: 350:. The Sun travels in a nearly circular orbit (the 154:, compared to the abstract background of the more 112: 85: 1789:Monthly Notices of the Royal Astronomical Society 1453:M Reid; A Brunthaler; Xu Ye; et al. (2008). 1109:intrinsically faint and angularly small, such as 226:Knowledge of the proper motion, distance, and 2164: 55:radian/s. If there has been no distortion by 8: 2073:A History of Ancient Mathematical Astronomy 1604:. Cambridge University Press. p. 252. 1484:Annual Review of Astronomy and Astrophysics 1455:"Mapping the Milky Way and the Local Group" 1317:. Jones & Bartlett Publishers. p.  1017:, showing position every 5 years 1985–2005. 195:). Their combined value is computed as the 2396: 2171: 2157: 2149: 2144:Edmond Halley: Discovery of proper motions 1432:. Cambridge University Press. p. 79. 1405:. Cambridge University Press. p. 73. 1378:. Cambridge University Press. p. 87. 1351:. Cambridge University Press. p. 75. 1340: 1338: 1120:. Coupled with measurements of the stars' 1044:of 9.54, it is too faint to see without a 2030: 1919: 1837: 1800: 1555: 1495: 951: 930: 899: 877: 856: 764: 754: 749: 739: 732: 727: 717: 711: 672: 659: 652: 647: 637: 630: 625: 615: 609: 557: 544: 537: 528: 522: 486: 473: 466: 457: 451: 104: 98: 72: 66: 64: 1704:. University of Virginia. Archived from 326:over historical time. As examples, both 161:The components for proper motion in the 40: 3684: 1996:. Oxford University Press. p. 17. 1301: 367:Any proper motion is a two-dimensional 134:measure of the observed changes in the 1459:Mapping the Galaxy and Nearby Galaxies 1372:Simon F. Green; Mark H. Jones (2004). 1143:Proper motions of the galaxies in the 1064:6.42), proper motion: 7.058″ yr. 793:is the declination. The factor in cos 7: 1457:. In F Combes; Keiichi Wada (eds.). 1375:An Introduction to the Sun and Stars 1309:Theo Koupelis; Karl F. Kuhn (2007). 823:the "proper motion in declination". 2139:Hipparcos: High Proper Motion Stars 1092:images taken many years apart. The 848:is related to these components by: 593:The magnitude of the proper motion 443:. The proper motions are given by: 1649:The Stars: A study of the Universe 1625:Charles Leander Doolittle (1890). 1131:, and has a mass of 4.3 Ă— 10  1075:became the first star to have its 565: 494: 86:{\displaystyle {\frac {v_{t}}{d}}} 25: 1674:. ESA. p. 25. Archived from 1290:Very-long-baseline interferometry 812:, which must be multiplied by cos 3723: 3711: 3699: 3687: 3660: 3650: 3649: 1967:Gough, Evan (12 February 2019). 1229:List of high-proper-motion stars 173:) are given in the direction of 1601:Textbook on Spherical Astronomy 1240:Astronomical coordinate systems 1598:; Robin Michael Green (1977). 1514:10.1146/annurev.astro.39.1.137 1250:Leonard–Merritt mass estimator 1118:Leonard-Merritt mass estimator 1: 3562:Timeline of stellar astronomy 1740:The Top 20 High Proper Motion 1223:Stars with high proper motion 1157:Andromeda–Milky Way collision 1155:was measured in 2012, and an 412:) with respect to a constant 223:or milliarcseconds per year. 146:in the sky, as seen from the 2108:(355): 736–738. 1719-12-31. 2076:. Birkhäuser. p. 1084. 1881:. In Siegfried Röser (ed.). 1700:Majewski, Steven R. (2006). 1208:roughly 1850 years earlier. 1028:away. After the Sun and the 288:The proper motion vector is 163:equatorial coordinate system 3222:Hertzsprung–Russell diagram 1971:. The Astrophysical Journal 1885:. Wiley. pp. 179–194. 1879:"M33 – Distance and Motion" 1877:Andreas Brunthaler (2005). 830:, the result is designated 3777: 3136:Kelvin–Helmholtz mechanism 1280:Space velocity (astronomy) 1226: 47:A year ago the object was 29: 3645: 2399: 2186: 1544:The Astrophysical Journal 991:high-proper motion stars. 238:, that in respect to the 236:coordinate transformation 3515:With multiple exoplanets 2070:Otto Neugebauer (1975). 1990:Steven Weinberg (2008). 1426:Horace A. Smith (2004). 1313:In Quest of the Universe 703:technically abbreviated: 330:in the northern sky and 30:Not to be confused with 2301:Asymptotic giant branch 1938:10.1126/science.1108342 1506:2001ARA&A..39..137S 1402:Observational Astronomy 1348:Observational Astronomy 1087:Usefulness in astronomy 3637:Tidal disruption event 3126:Circumstellar envelope 2360:Luminous blue variable 2114:10.1098/rstl.1717.0025 1746:, retrieved 2019-06-27 1646:Simon Newcomb (1904). 1596:William Marshall Smart 1161:NGC 4258 (M106) galaxy 1018: 967: 918: 780: 694: 584: 510: 356:) about the center of 319: 124: 114: 87: 59:or otherwise then ÎĽ = 3761:Concepts in astronomy 3162:Effective temperature 1826:Astrophysical Journal 1744:European Space Agency 1245:Galaxy rotation curve 1013: 968: 919: 781: 695: 585: 511: 253: 115: 113:{\displaystyle v_{t}} 88: 57:gravitational lensing 44: 3632:Planet-hosting stars 3510:With resolved images 3481:Historical brightest 3411:Photometric-standard 3337:Solar radio emission 3131:Eddington luminosity 2911:Triple-alpha process 2849:Thorne–Żytkow object 2224:Young stellar object 1802:10.1093/mnras/stx812 1036:known star. Being a 1004:common proper motion 978:galactic coordinates 929: 855: 710: 608: 521: 450: 97: 63: 3456:Highest temperature 3227:Color–color diagram 3092:Protoplanetary disk 2896:Proton–proton chain 2574:Chemically peculiar 2041:1999Natur.400..539H 1930:2005Sci...307.1440B 1914:(5714): 1440–1443. 1848:2003ApJ...586L.127G 1770:1992JRASC..86..221L 1729:by Steven Majewski. 1652:. Putnam. pp.  1566:2005ApJ...633..894L 1192:, who noticed that 844:The position angle 839:Hipparcos Catalogue 599:Pythagorean theorem 431:) to coordinates (α 385:arcseconds per year 197:total proper motion 3461:Lowest temperature 3212:Photometric system 3182:Absolute magnitude 3116:Circumstellar dust 2729:Stellar black hole 2365:Stellar population 2251:Herbig–Haro object 1285:Stellar kinematics 1102:image differencing 1094:Palomar Sky Survey 1042:apparent magnitude 1032:system, it is the 1019: 999:open star clusters 963: 914: 776: 690: 580: 506: 439:) in a time Δ 320: 232:frame of reference 125: 110: 83: 3751:Stellar astronomy 3675: 3674: 3578:Substellar object 3557:Planetary nebulae 2976:Luminous red nova 2886:Deuterium burning 2872: 2871: 2355:Instability strip 2335:Wolf-Rayet nebula 2289:Horizontal branch 2234:Pre-main-sequence 2083:978-3-540-06995-9 2025:(6744): 539–541. 2003:978-0-19-852682-7 1892:978-3-527-40608-1 1631:. Wiley. p.  1611:978-0-521-29180-4 1468:978-0-387-72767-7 1439:978-0-521-54817-5 1412:978-0-521-85370-5 1385:978-0-521-54622-5 1358:978-0-521-85370-5 1328:978-0-7637-4387-1 1270:Relative velocity 1260:Peculiar velocity 1149:Triangulum Galaxy 1122:radial velocities 1098:blink comparators 1077:Bayer designation 959: 910: 772: 686: 576: 572: 501: 144:celestial objects 81: 16:(Redirected from 3768: 3756:Motion (physics) 3728: 3727: 3726: 3716: 3715: 3714: 3704: 3703: 3702: 3692: 3691: 3690: 3683: 3667:Stars portal 3665: 3664: 3653: 3652: 3309:Planetary system 3232:Strömgren sphere 3104:Asteroseismology 2825:Black hole star 2397: 2323:Planetary nebula 2284:Red-giant branch 2173: 2166: 2159: 2150: 2126: 2125: 2094: 2088: 2087: 2067: 2061: 2060: 2034: 2032:astro-ph/9907013 2014: 2008: 2007: 1987: 1981: 1980: 1978: 1976: 1969:"Universe Today" 1964: 1958: 1957: 1923: 1921:astro-ph/0503058 1903: 1897: 1896: 1874: 1868: 1867: 1841: 1839:astro-ph/0302299 1832:(2): L127–L131. 1821: 1815: 1814: 1804: 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117: 116: 111: 109: 108: 92: 90: 89: 84: 82: 77: 76: 67: 36:stellar parallax 21: 3776: 3775: 3771: 3770: 3769: 3767: 3766: 3765: 3736: 3735: 3734: 3724: 3722: 3712: 3710: 3700: 3698: 3688: 3686: 3678: 3676: 3671: 3659: 3641: 3566: 3535:Milky Way novae 3471:Smallest volume 3415: 3396:Radial velocity 3319: 3313: 3265:Common envelope 3241: 3140: 3109:Helioseismology 3080:Bipolar outflow 3021:Microturbulence 3016:Convection zone 2997: 2891:Lithium burning 2878:Nucleosynthesis 2868: 2750: 2659: 2386: 2265: 2214:Molecular cloud 2195: 2182: 2177: 2135: 2130: 2129: 2096: 2095: 2091: 2084: 2069: 2068: 2064: 2016: 2015: 2011: 2004: 1989: 1988: 1984: 1974: 1972: 1966: 1965: 1961: 1905: 1904: 1900: 1893: 1876: 1875: 1871: 1823: 1822: 1818: 1782: 1781: 1777: 1755: 1754: 1750: 1737: 1733: 1724: 1720: 1711: 1709: 1699: 1697: 1693: 1684: 1682: 1678: 1671: 1666: 1665: 1661: 1645: 1644: 1640: 1624: 1623: 1619: 1612: 1594: 1593: 1589: 1539: 1534: 1533: 1529: 1481: 1480: 1476: 1469: 1452: 1451: 1447: 1440: 1425: 1424: 1420: 1413: 1398: 1397: 1393: 1386: 1371: 1370: 1366: 1359: 1344: 1343: 1336: 1329: 1308: 1307: 1303: 1298: 1265:Radial velocity 1236: 1231: 1225: 1178: 1167: 1165: 1138: 1135: 1089: 986: 947: 927: 926: 895: 873: 853: 852: 836: 822: 811: 750: 748: 728: 726: 713: 708: 707: 668: 648: 646: 626: 624: 611: 606: 605: 564: 553: 540: 539: 524: 519: 518: 493: 482: 469: 468: 453: 448: 447: 438: 434: 430: 426: 410: 399: 392:right ascension 300:right ascension 287: 284: 281: 275: 248: 228:radial velocity 194: 183: 175:right ascension 136:apparent places 122: 100: 95: 94: 68: 61: 60: 46: 39: 32:proper velocity 28: 23: 22: 18:Improper motion 15: 12: 11: 5: 3774: 3772: 3764: 3763: 3758: 3753: 3748: 3738: 3737: 3733: 3732: 3720: 3708: 3696: 3673: 3672: 3670: 3669: 3657: 3646: 3643: 3642: 3640: 3639: 3634: 3629: 3624: 3619: 3614: 3609: 3604: 3603: 3602: 3597: 3596: 3595: 3590: 3574: 3572: 3568: 3567: 3565: 3564: 3559: 3554: 3553: 3552: 3547: 3537: 3532: 3527: 3522: 3517: 3512: 3507: 3506: 3505: 3500: 3499: 3498: 3488: 3483: 3478: 3473: 3468: 3466:Largest volume 3463: 3458: 3453: 3443: 3442: 3441: 3436: 3425: 3423: 3417: 3416: 3414: 3413: 3408: 3403: 3398: 3393: 3392: 3391: 3386: 3381: 3371: 3366: 3361: 3356: 3351: 3350: 3349: 3344: 3339: 3334: 3323: 3321: 3315: 3314: 3312: 3311: 3306: 3305: 3304: 3299: 3294: 3284: 3279: 3278: 3277: 3272: 3267: 3262: 3251: 3249: 3243: 3242: 3240: 3239: 3234: 3229: 3224: 3219: 3214: 3209: 3204: 3199: 3194: 3189: 3184: 3179: 3177:Magnetic field 3174: 3169: 3164: 3159: 3154: 3148: 3146: 3142: 3141: 3139: 3138: 3133: 3128: 3123: 3118: 3113: 3112: 3111: 3101: 3100: 3099: 3094: 3087:Accretion disk 3084: 3083: 3082: 3077: 3067: 3066: 3065: 3063:AlfvĂ©n surface 3060: 3058:Stellar corona 3055: 3050: 3045: 3035: 3033:Radiation zone 3030: 3029: 3028: 3023: 3013: 3007: 3005: 2999: 2998: 2996: 2995: 2990: 2989: 2988: 2983: 2978: 2973: 2968: 2958: 2953: 2948: 2943: 2938: 2933: 2928: 2923: 2918: 2913: 2908: 2903: 2898: 2893: 2888: 2882: 2880: 2874: 2873: 2870: 2869: 2867: 2866: 2861: 2856: 2851: 2846: 2841: 2840: 2839: 2834: 2831: 2823: 2822: 2821: 2816: 2811: 2806: 2801: 2796: 2791: 2786: 2781: 2771: 2766: 2760: 2758: 2752: 2751: 2749: 2748: 2743: 2742: 2741: 2731: 2726: 2725: 2724: 2719: 2718: 2717: 2712: 2702: 2692: 2691: 2690: 2680: 2675: 2669: 2667: 2661: 2660: 2658: 2657: 2655:Blue straggler 2652: 2651: 2650: 2640: 2635: 2634: 2633: 2623: 2622: 2621: 2616: 2611: 2606: 2601: 2596: 2591: 2586: 2581: 2571: 2566: 2565: 2564: 2559: 2554: 2544: 2543: 2542: 2532: 2531: 2530: 2525: 2520: 2510: 2505: 2504: 2503: 2498: 2493: 2483: 2478: 2473: 2468: 2467: 2466: 2461: 2451: 2450: 2449: 2444: 2439: 2434: 2429: 2424: 2419: 2413:Main sequence 2411: 2406: 2400: 2394: 2392:Classification 2388: 2387: 2385: 2384: 2383: 2382: 2377: 2367: 2362: 2357: 2352: 2347: 2342: 2337: 2332: 2331: 2330: 2328:Protoplanetary 2320: 2315: 2314: 2313: 2308: 2298: 2297: 2296: 2286: 2281: 2275: 2273: 2267: 2266: 2264: 2263: 2258: 2253: 2248: 2247: 2246: 2241: 2236: 2231: 2221: 2216: 2211: 2205: 2203: 2197: 2196: 2194: 2193: 2187: 2184: 2183: 2178: 2176: 2175: 2168: 2161: 2153: 2147: 2146: 2141: 2134: 2133:External links 2131: 2128: 2127: 2089: 2082: 2062: 2009: 2002: 1982: 1959: 1898: 1891: 1869: 1856:10.1086/374804 1816: 1795:(1): 763–773. 1775: 1748: 1731: 1718: 1691: 1659: 1638: 1617: 1610: 1587: 1574:10.1086/491644 1550:(2): 894–898. 1527: 1474: 1467: 1445: 1438: 1429:RR Lyrae Stars 1418: 1411: 1391: 1384: 1364: 1357: 1334: 1327: 1300: 1299: 1297: 1294: 1293: 1292: 1287: 1282: 1277: 1272: 1267: 1262: 1257: 1252: 1247: 1242: 1235: 1232: 1227:Main article: 1224: 1221: 1177: 1174: 1136: 1133: 1088: 1085: 1030:Alpha Centauri 1022:Barnard's Star 1015:Barnard's Star 985: 982: 974: 973: 962: 954: 950: 946: 943: 940: 937: 934: 924: 913: 905: 902: 898: 894: 891: 888: 885: 880: 876: 872: 869: 866: 863: 860: 834: 820: 809: 787: 786: 775: 767: 760: 757: 753: 747: 742: 735: 731: 725: 720: 716: 705: 700: 689: 683: 680: 675: 671: 667: 662: 655: 651: 645: 640: 633: 629: 623: 618: 614: 591: 590: 579: 570: 567: 560: 556: 552: 547: 543: 536: 531: 527: 516: 505: 499: 496: 489: 485: 481: 476: 472: 465: 460: 456: 436: 432: 428: 424: 408: 397: 373:position angle 362:Sagittarius A* 324:constellations 316:position angle 247: 244: 192: 181: 148:center of mass 107: 103: 80: 75: 71: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3773: 3762: 3759: 3757: 3754: 3752: 3749: 3747: 3744: 3743: 3741: 3731: 3721: 3719: 3709: 3707: 3697: 3695: 3685: 3681: 3668: 3663: 3658: 3656: 3648: 3647: 3644: 3638: 3635: 3633: 3630: 3628: 3627:Intergalactic 3625: 3623: 3620: 3618: 3615: 3613: 3610: 3608: 3607:Galactic year 3605: 3601: 3598: 3594: 3591: 3589: 3586: 3585: 3584: 3581: 3580: 3579: 3576: 3575: 3573: 3569: 3563: 3560: 3558: 3555: 3551: 3548: 3546: 3543: 3542: 3541: 3538: 3536: 3533: 3531: 3528: 3526: 3523: 3521: 3518: 3516: 3513: 3511: 3508: 3504: 3501: 3497: 3494: 3493: 3492: 3489: 3487: 3486:Most luminous 3484: 3482: 3479: 3477: 3474: 3472: 3469: 3467: 3464: 3462: 3459: 3457: 3454: 3452: 3449: 3448: 3447: 3444: 3440: 3437: 3435: 3432: 3431: 3430: 3427: 3426: 3424: 3422: 3418: 3412: 3409: 3407: 3404: 3402: 3401:Proper motion 3399: 3397: 3394: 3390: 3387: 3385: 3382: 3380: 3377: 3376: 3375: 3372: 3370: 3367: 3365: 3364:Constellation 3362: 3360: 3357: 3355: 3352: 3348: 3345: 3343: 3340: 3338: 3335: 3333: 3332:Solar eclipse 3330: 3329: 3328: 3325: 3324: 3322: 3318:Earth-centric 3316: 3310: 3307: 3303: 3300: 3298: 3295: 3293: 3290: 3289: 3288: 3285: 3283: 3280: 3276: 3273: 3271: 3268: 3266: 3263: 3261: 3258: 3257: 3256: 3253: 3252: 3250: 3248: 3244: 3238: 3235: 3233: 3230: 3228: 3225: 3223: 3220: 3218: 3215: 3213: 3210: 3208: 3205: 3203: 3200: 3198: 3195: 3193: 3190: 3188: 3185: 3183: 3180: 3178: 3175: 3173: 3170: 3168: 3165: 3163: 3160: 3158: 3155: 3153: 3150: 3149: 3147: 3143: 3137: 3134: 3132: 3129: 3127: 3124: 3122: 3119: 3117: 3114: 3110: 3107: 3106: 3105: 3102: 3098: 3095: 3093: 3090: 3089: 3088: 3085: 3081: 3078: 3076: 3073: 3072: 3071: 3068: 3064: 3061: 3059: 3056: 3054: 3051: 3049: 3046: 3044: 3041: 3040: 3039: 3036: 3034: 3031: 3027: 3024: 3022: 3019: 3018: 3017: 3014: 3012: 3009: 3008: 3006: 3004: 3000: 2994: 2991: 2987: 2984: 2982: 2979: 2977: 2974: 2972: 2969: 2967: 2964: 2963: 2962: 2959: 2957: 2954: 2952: 2949: 2947: 2944: 2942: 2939: 2937: 2934: 2932: 2929: 2927: 2924: 2922: 2919: 2917: 2916:Alpha process 2914: 2912: 2909: 2907: 2904: 2902: 2899: 2897: 2894: 2892: 2889: 2887: 2884: 2883: 2881: 2879: 2875: 2865: 2862: 2860: 2857: 2855: 2852: 2850: 2847: 2845: 2842: 2838: 2835: 2832: 2830: 2827: 2826: 2824: 2820: 2817: 2815: 2812: 2810: 2807: 2805: 2802: 2800: 2797: 2795: 2792: 2790: 2787: 2785: 2782: 2780: 2777: 2776: 2775: 2772: 2770: 2767: 2765: 2762: 2761: 2759: 2757: 2753: 2747: 2744: 2740: 2737: 2736: 2735: 2732: 2730: 2727: 2723: 2720: 2716: 2713: 2711: 2708: 2707: 2706: 2703: 2701: 2698: 2697: 2696: 2693: 2689: 2688:Helium planet 2686: 2685: 2684: 2681: 2679: 2678:Parker's star 2676: 2674: 2671: 2670: 2668: 2666: 2662: 2656: 2653: 2649: 2646: 2645: 2644: 2641: 2639: 2636: 2632: 2629: 2628: 2627: 2624: 2620: 2617: 2615: 2612: 2610: 2609:Lambda Boötis 2607: 2605: 2602: 2600: 2597: 2595: 2592: 2590: 2587: 2585: 2582: 2580: 2577: 2576: 2575: 2572: 2570: 2567: 2563: 2560: 2558: 2555: 2553: 2550: 2549: 2548: 2545: 2541: 2538: 2537: 2536: 2533: 2529: 2526: 2524: 2521: 2519: 2516: 2515: 2514: 2511: 2509: 2506: 2502: 2499: 2497: 2494: 2492: 2489: 2488: 2487: 2484: 2482: 2479: 2477: 2474: 2472: 2469: 2465: 2462: 2460: 2457: 2456: 2455: 2452: 2448: 2445: 2443: 2440: 2438: 2435: 2433: 2430: 2428: 2425: 2423: 2420: 2418: 2415: 2414: 2412: 2410: 2407: 2405: 2402: 2401: 2398: 2395: 2393: 2389: 2381: 2378: 2376: 2375:Superluminous 2373: 2372: 2371: 2368: 2366: 2363: 2361: 2358: 2356: 2353: 2351: 2348: 2346: 2343: 2341: 2338: 2336: 2333: 2329: 2326: 2325: 2324: 2321: 2319: 2316: 2312: 2309: 2307: 2304: 2303: 2302: 2299: 2295: 2292: 2291: 2290: 2287: 2285: 2282: 2280: 2279:Main sequence 2277: 2276: 2274: 2272: 2268: 2262: 2259: 2257: 2256:Hayashi track 2254: 2252: 2249: 2245: 2242: 2240: 2237: 2235: 2232: 2230: 2227: 2226: 2225: 2222: 2220: 2217: 2215: 2212: 2210: 2207: 2206: 2204: 2202: 2198: 2192: 2189: 2188: 2185: 2181: 2174: 2169: 2167: 2162: 2160: 2155: 2154: 2151: 2145: 2142: 2140: 2137: 2136: 2132: 2123: 2119: 2115: 2111: 2107: 2103: 2099: 2093: 2090: 2085: 2079: 2075: 2074: 2066: 2063: 2058: 2054: 2050: 2049:10.1038/22972 2046: 2042: 2038: 2033: 2028: 2024: 2020: 2013: 2010: 2005: 1999: 1995: 1994: 1986: 1983: 1970: 1963: 1960: 1955: 1951: 1947: 1943: 1939: 1935: 1931: 1927: 1922: 1917: 1913: 1909: 1902: 1899: 1894: 1888: 1884: 1880: 1873: 1870: 1865: 1861: 1857: 1853: 1849: 1845: 1840: 1835: 1831: 1827: 1820: 1817: 1812: 1808: 1803: 1798: 1794: 1790: 1786: 1779: 1776: 1771: 1767: 1763: 1759: 1752: 1749: 1745: 1741: 1735: 1732: 1728: 1727:lecture notes 1722: 1719: 1708:on 2012-01-25 1707: 1703: 1695: 1692: 1677: 1670: 1663: 1660: 1655: 1651: 1650: 1642: 1639: 1634: 1630: 1629: 1621: 1618: 1613: 1607: 1603: 1602: 1597: 1591: 1588: 1583: 1579: 1575: 1571: 1567: 1563: 1558: 1553: 1549: 1545: 1538: 1531: 1528: 1523: 1519: 1515: 1511: 1507: 1503: 1498: 1493: 1489: 1485: 1478: 1475: 1470: 1464: 1460: 1456: 1449: 1446: 1441: 1435: 1431: 1430: 1422: 1419: 1414: 1408: 1404: 1403: 1395: 1392: 1387: 1381: 1377: 1376: 1368: 1365: 1360: 1354: 1350: 1349: 1341: 1339: 1335: 1330: 1324: 1320: 1315: 1314: 1305: 1302: 1295: 1291: 1288: 1286: 1283: 1281: 1278: 1276: 1273: 1271: 1268: 1266: 1263: 1261: 1258: 1256: 1253: 1251: 1248: 1246: 1243: 1241: 1238: 1237: 1233: 1230: 1222: 1220: 1218: 1214: 1209: 1207: 1203: 1199: 1195: 1191: 1190:Edmund Halley 1187: 1183: 1175: 1173: 1162: 1158: 1154: 1150: 1146: 1141: 1139: 1130: 1125: 1123: 1119: 1114: 1112: 1107: 1103: 1099: 1095: 1086: 1084: 1082: 1078: 1074: 1069: 1065: 1063: 1059: 1055: 1051: 1047: 1043: 1039: 1035: 1031: 1027: 1023: 1016: 1012: 1008: 1006: 1005: 1000: 996: 992: 983: 981: 979: 960: 952: 948: 944: 941: 938: 935: 932: 925: 911: 903: 900: 896: 892: 889: 886: 883: 878: 874: 870: 867: 864: 861: 858: 851: 850: 849: 847: 842: 840: 833: 829: 824: 819: 815: 808: 804: 800: 796: 792: 773: 765: 758: 755: 751: 745: 740: 733: 729: 723: 718: 714: 706: 704: 701: 687: 681: 678: 673: 669: 665: 660: 653: 649: 643: 638: 631: 627: 621: 616: 612: 604: 603: 602: 600: 596: 577: 568: 558: 554: 550: 545: 541: 534: 529: 525: 517: 503: 497: 487: 483: 479: 474: 470: 463: 458: 454: 446: 445: 444: 442: 422: 417: 415: 411: 404: 400: 393: 388: 386: 382: 378: 374: 370: 365: 363: 359: 355: 354: 349: 345: 340: 338: 333: 329: 325: 317: 313: 309: 305: 301: 297: 293: 292: 279: 273: 269: 268:March equinox 265: 261: 257: 252: 245: 243: 241: 237: 233: 229: 224: 222: 218: 214: 210: 206: 202: 198: 191: 187: 180: 176: 172: 168: 164: 159: 157: 156:distant stars 153: 149: 145: 141: 137: 133: 129: 128:Proper motion 105: 101: 78: 73: 69: 58: 54: 50: 43: 37: 33: 19: 3730:Solar System 3530:White dwarfs 3520:Brown dwarfs 3503:Most distant 3451:Most massive 3429:Proper names 3400: 3389:Photographic 3342:Solar System 3320:observations 3247:Star systems 3070:Stellar wind 3053:Chromosphere 3026:Oscillations 2906:Helium flash 2756:Hypothetical 2734:X-ray binary 2673:Compact star 2508:Bright giant 2261:Henyey track 2239:Herbig Ae/Be 2105: 2104:(in Latin). 2101: 2092: 2072: 2065: 2022: 2018: 2012: 1992: 1985: 1973:. Retrieved 1962: 1911: 1907: 1901: 1882: 1872: 1829: 1825: 1819: 1792: 1788: 1778: 1761: 1757: 1751: 1734: 1721: 1710:. Retrieved 1706:the original 1694: 1683:. Retrieved 1676:the original 1662: 1648: 1641: 1627: 1620: 1600: 1590: 1547: 1543: 1530: 1487: 1483: 1477: 1461:. Springer. 1458: 1448: 1428: 1421: 1401: 1394: 1374: 1367: 1347: 1312: 1304: 1213:postpositive 1210: 1185: 1179: 1170:0.5 Mpc 1142: 1126: 1115: 1090: 1070: 1066: 1020: 1002: 995:double stars 990: 987: 975: 845: 843: 831: 827: 825: 817: 813: 806: 802: 798: 794: 790: 788: 702: 594: 592: 440: 418: 406: 395: 389: 366: 353:solar circle 351: 348:Solar System 341: 321: 311: 303: 295: 290: 289: 271: 263: 259: 255: 246:Introduction 225: 215:, typically 200: 196: 189: 178: 165:(of a given 160: 152:Solar System 127: 126: 52: 48: 3718:Outer space 3706:Spaceflight 3583:Brown dwarf 3359:Circumpolar 3237:Kraft break 3217:Color index 3192:Metallicity 3152:Designation 3121:Cosmic dust 3043:Photosphere 2809:Dark-energy 2784:Electroweak 2769:Black dwarf 2700:Radio-quiet 2683:White dwarf 2569:White dwarf 2219:Bok globule 1975:12 February 1490:: 137–174. 1145:Local Group 1073:Rho Aquilae 1060:(magnitude 1052:(magnitude 1026:light-years 403:declination 308:declination 186:declination 132:astrometric 3746:Astrometry 3740:Categories 3545:Candidates 3540:Supernovae 3525:Red dwarfs 3384:Extinction 3172:Kinematics 3167:Luminosity 3145:Properties 3038:Atmosphere 2936:Si burning 2926:Ne burning 2864:White hole 2837:Quasi-star 2764:Blue dwarf 2619:Technetium 2535:Hypergiant 2513:Supergiant 1712:2008-12-31 1685:2015-04-08 1296:References 1275:Solar apex 1206:Hipparchus 1111:red dwarfs 1050:61 Cygni A 421:components 358:the galaxy 328:Ursa Major 217:arcseconds 205:dimensions 203:). 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Index

Improper motion
proper velocity
stellar parallax

gravitational lensing
astrometric
apparent places
stars
celestial objects
center of mass
Solar System
distant stars
equatorial coordinate system
epoch
J2000.0
right ascension
declination
dimensions
angle
time
arcseconds
year
radial velocity
frame of reference
coordinate transformation
Milky Way

March equinox
celestial sphere
right ascension

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