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Hello Toe, thanks for that perceptive observation. No, I hadn't made the connection---at least, not explicitly. My thinking was along the lines of "soak up the odd bits in the rest of the sequence by flipping the first one", but this is pretty ugly and parity is the Right Way (tm) to think about it.
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We can understand why it should be the energy of every pair this way: Suppose that we want to find the total amount of work that must be done to bring the objects to certain distances from each other. We may do this in several steps, bringing them in from infinity where there is no force, one by one.
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I do have the sense that BB is coming to the defense of a perceived attack on M, which is a shame since I intended no such attack and quite a few times recently I've interacted with M concerning the hatting of questions, and each time she has been very reasonable, standing by her initial decision but
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Consider two probes taking off simultaneously, one prograde at 13.8 km/sec from the Earth, and the other retrograde at 73.4 km/sec from the Earth, so that both start traveling at the same 43.6 km/sec in the Sun's reference frame. The first probe is being chased by the Earth, taking longer to escape
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I just copied the format of the previous flight when I created that article. I guess my question is how important is that information after the first flight? Maybe that level of detail should only be in the first flight. Given that the booster will be used for many different named flights, trying
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Yes, if you wish. I do appreciate the direct thanks here. (And thanks for that thanks!) But I don't particularly care one way or another about mention elsewhere, so do whatever you feel best about it. Do feel free to use what I showed you without attribution if that works better. The section
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maneuvers, where total energy is conserved only when you take into account changes in the planet's orbital energy. For the first probe, that negative gravity assist maneuver means that it will not have quite enough energy to escape the Sun, and it will enter a highly elliptical orbit, while the
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That is, the work done is the sum of the work done against the first force and the second force, as if each acted independently. Proceeding in this way, we see that the total work required to assemble the given configuration of objects is precisely the value given in Eq. (13.14) as the potential
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where we are seeking a residual speed of 0 instead of 10 mi/sec. This calculation will take into account the orbital speed of the Earth about the Sun, but as with the standard calculation of a single body escape velocity, it will not take into account the rotational speed of the Earth.
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In the article whose link added: A final line to say, the
Morpheus Lander has successfully flown, automatically found a landing space and landed without crashing, may be appropriate. Without the line some people will suspect failure is being covered up. Good layout for your article.
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A few weeks ago, I asked for help in the reference desk. I needed the temperature in a certian location in space and you helped me a lot.The information was crucial for a project and I'm asking to know if I can thank you in it by mentioning your wikipedia username.
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You're wasting your time and energy, you're now suffering from that tag-team effect. I'm sorry about that, but there's no known solution, the community seems to encourage it. Please accept my condolences and try to move onto something completely different.
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I was messing around with Quarry, and saw that your sandbox was one of the largest user pages on the site. Looking at it, I decided to run a SQL query using Quarry, and determined that there are (currently) 35,797 reference desk archives. Wowie!
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Hi, I got 10.4 mi/s too. I used the sum of the probe's initial kinetic energy, initial potential energy from the Earth's gravity, and initial potential energy from the Sun's gravity, then equated the sum to the final kinetic energy of the probe.
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which resembles the formula above for relating initial velocity to hyperbolic excess velocity. (And this would be a correct formulation for total system escape velocity were the Earth not moving with respect to the Sun.) Continuing,
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But for calculations where the Earth is moving in its orbit, direction of travel is important, not only for determining the speed in the Earth's reference frame, but also the speed in the Sun's reference frame. Consider two cases, a
1489:= 26.2 mi/sec - 18.5 mi/sec = 7.7 mi/sec. So our initial speed from the surface of the Earth needed to be sqrt( (7.7 mi/sec) + (6.96 mi/sec) ) = 10.4 mi/sec. That converts to 16.7 km/sec, close enough to the 16.6 km/sec listed in
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Escape velocity is actually a speed (not a velocity) because it does not specify a direction: no matter what the direction of travel is, the object can escape the gravitational field (provided its path does not intersect the
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energy to have zero speed at infinity. Also it is correct that if the Sun and the probe (in the Sun reference frame) both have zero speed, but the Earth have a speed 30 km/sec, then also the probe must be supplied with
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But we know that it wrong, as if it 1.8 mi/sec shy of the correct value of 10.4 mi/sec, just as the answer given in
Solutions to Exercise 14-21 was 1.2 mi/sec shy of the correct value given in Exercises. But why?
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369:. It has the authority to enact binding solutions for disputes between editors, primarily related to serious behavioural issues that the community has been unable to resolve. This includes the ability to impose
314:. It has the authority to enact binding solutions for disputes between editors, primarily related to serious behavioural issues that the community has been unable to resolve. This includes the ability to impose
2788:(almost half a year later.) The use of the template reduces the size of the pages by almost half a megabyte, and may make it easier to replicate the next year when necessary. Hope this works pretty well.
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to keep track of this across multiple articles with constantly changing launch dates is too much. So if you want to remove this from this article and some others, I'm OK. Maybe you could also check at
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3335:. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose
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Thanks for the reminder. I know it's been more than the week I promised, but I've kept that problem in mind though I've not taken the time to put pencil to paper yet. I will try to do so soon. --
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Being granted reviewer rights neither grants you status nor changes how you can edit articles. If you do not want this user right, you may ask any administrator to remove it for you at any time.
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If the questioner is who I think it is, then I suspect they aren't intending ask about congruence classes despite the use of the vinculum. In either case, your answer has it fully covered. --
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First we bring in number one, which requires no work, since no other objects are yet present to exert force on it. Next we bring in number two, which does take some work, namely
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2555:. I find it fascinating that someone signing their name "Tamas" would affect offense at being referred to as "this guy", but what can you do? I like "God has ten fingers." --
464:. In practice, the geometry and imperfect thermal conduction of a probe will mean that side facing toward the sun will be warmer and the side facing away will be cooler. --
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If the Earth were not in motion about the Sun (say, held in place by an ideal rigid massless rod), then the two methods of calculation yield the same total escape velocity.
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1. The mistake is that the initial velocity of the probe is not taken into account. And as we know the kinetic energy needed to accelerate the probe from 0 m/sec to v
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I have found that if I use the conservation of momentum law , I can rearrange the kinetic energy formula like a sum of energies, but no longer a sum of velocities
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Thanks for cleaning up that massive wall of text related to the discussion mergers. It was much needed as that "wall" was very distasteful in appearance. —
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So the naive energy balance method underestimates the required velocity for the prograde departure but overestimates it for the retrograde departure. Why?
1118:{\displaystyle \int \mathbf {F} _{3}\cdot d\mathbf {s} =\int \mathbf {F} _{13}\cdot d\mathbf {s} +\int \mathbf {F} _{23}\cdot d\mathbf {s} =W_{13}+W_{23}.}
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energy. It is because gravity obeys the principle of superposition of forces that we can write the potential energy as a sum over each pair of particles.
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the Earth's gravitational drag, while the second is speeding away from Earth and its gravitational influence much more quickly. This is similar to
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2193:) gives the same 43.6 km/sec total escape speed in the Sun's reference frame, and simply adds or subtracts the Earth's orbital velocity, giving:
2182:(as from before) where the probe takes off so that it departs Earth tangentially to Earth's orbit, in the forward direction of the orbit, and a
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I still don't understand where is a mistake in
Solutions explanations. They added the potential energies. Feynman did the same in this part of
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This is the correct answer, and is equivalent to the method used to come up with the 11.8 mi/sec answer to
Exercise 14-21 given in Exercises.
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as appears in MEPhI Solutions is a formula for stationary 2 objects: the sun and the earth (it is what
Feynman is talking about at the end of
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2. The mistake is that after overcoming the gravity field of the Earth, the probe should have a speed of 30 km/sec. But if we subtract
2186:, where the probe takes off so that it also departs Earth tangentially to Earth's orbit, but in the opposite direction of the orbit.
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p.s. The project has just issued a conference paper that says the latest version's main engine has a thrust of 5,400 lbf (24,000 N).
1260:{\displaystyle {\tfrac {v^{2}}{2}}-{\tfrac {GM_{\text{earth}}}{R_{\text{earth}}}}-{\tfrac {GM_{\text{sun}}}{R_{\text{earth-sun}}}}}
838:. Now, and this is an important point, suppose we bring in the next object to position three. At any moment the force on number
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The sockpuppet tag remains valid as far as I'm concerned, however if you wish to remove it yourself then I won't re-add it.
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But that is in the Sun's reference frame, so to calculate the probe's launch speed with respect to the Earth, we subtract
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I'll look at this tonight and either get something to you by tomorrow or suggest a refined question to ask on WP:RD/S. --
2009:{\displaystyle {\tfrac {m(v_{\text{earth}}+v_{\text{e.earth}})^{2}}{2}}-{\tfrac {GmM_{\text{earth}}}{R_{\text{earth}}}}}
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So it is correct that if the Sun, the Earth and the probe all have zero speed , then the probe must be supplied with
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Yes, I did go back and I did see your post. Thanks for the information as this is exactly what I wanted to find.
1889:{\displaystyle {\tfrac {GmM_{\text{earth}}}{R_{\text{earth}}}}+{\tfrac {GmM_{\text{sun}}}{R_{\text{earth-sun}}}}}
1800:{\displaystyle {\tfrac {GmM_{\text{earth}}}{R_{\text{earth}}}}+{\tfrac {GmM_{\text{sun}}}{R_{\text{earth-sun}}}}}
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again to fix it. If I misunderstood what happened, or if you have any questions, you can leave a message on
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second probe will escape the Earth/Sun system entirely, with a 7.2 km/sec hyperbolic excess velocity. --
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Hope all has been well. You are probably already aware, but if you are not, I have put a template (
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https://en.wikipedia.org/search/?title=Knowledge (XXG):Reference_desk/Science&oldid=1010649846
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For single bodies, direction of travel is irrelevant to the calculation of escape velocity. From
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for the case when the probe was not moving . And then they have jumped to moving reference frame.
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People like you keep my existential contemplation skewed to the bright side. Massive thanks.
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on pages protected by pending changes. The list of articles awaiting review is located at
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Now let's try the naive energy balance approach as used in Solutions for Exercise 14-21.
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OK, let's start with a simpler problem and calculate the total system escape velocity
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1271:) , or simply the probe have initial speed zero. So The Solutions' authors have found
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offering no objection to unhatting, as happened in this case via her talk page. --
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energy to have zero speed at infinity. If it is correct, then I have 2 hypotheses:
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It's OK to remove this message. Also, to stop receiving these messages, follow
46:
User talk:Vegaswikian#SpaceX CRS-7 not seventh overall flight for Falcon 9 v1.1
1523:. If the probe's initial velocity, measured in the Sun's reference frame, is
457:
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898:. Therefore the work done is the sum of the works done by each, because if
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describes the Committee's roles and responsibilities in greater detail.
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Those "Links to all archives" subpages of Knowledge (XXG):Reference desk
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984:{\displaystyle \mathbf {F} _{3}=\mathbf {F} _{13}+\mathbf {F} _{23},}
574:
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can be written as the sum of two forces—the force exerted by number
1503:
They would argue that the Sun's specific gravitation well is -0.5
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In both cases, the naive energy balance method (as suggested in
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SpaceX CRS-7 not seventh overall flight for Falcon 9 v1.1
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m/sec does not equal the energy for acceleration from v
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Hello, Thinking of England. You have new messages at
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relating initial speed to the hyperbolic excess speed.
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2063:{\displaystyle {\tfrac {m(v_{\text{earth}})^{2}}{2}}}
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by modifying 1 "()"s. If you have, don't worry: just
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I think I am close to understanding. Such a formula
3075:For the information regarding the heat of the sun:
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79:Done. I removed the v1.1 sequence number from
2784:) on your "Links to all archives" subpages of
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746:Feynman Lectures. Exercises. Exercise 14-21
2551:Thanks for standing up for my honor ( ;) )
1134:The Feynman Lectures on Physics, Lecture 13
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650:Hello, Thinking of England. Voting in the
486:Hello. Your account has been granted the "
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1623:27.1 mi/sec - 18.5 mi/sec = 8.6 mi/sec
564:. I have automatically detected that
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14:
2891:Sagittarian Milky Way's talk page
417:Sagittarian Milky Way's talk page
383:review the candidates' statements
328:review the candidates' statements
3304:
3216:
3128:
2990:
2817:
2692:
2575:
2479:
1132:— Feynman • Leighton • Sands ,
1082:
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1053:
1036:
1024:
1007:
968:
953:
938:
920:{\displaystyle \mathbf {F} _{3}}
907:
642:
555:
3354:and submit your choices on the
3266:and submit your choices on the
3176:and submit your choices on the
3038:and submit your choices on the
2740:and submit your choices on the
2643:Today's Wikipedian 10 years ago
2620:and submit your choices on the
2524:and submit your choices on the
2092:This also correlates with ex.
1351:Escape velocity#Multiple bodies
521:Knowledge (XXG):Pending changes
3098:35,797 reference desk archives
2786:Knowledge (XXG):Reference desk
2044:
2030:
1953:
1926:
389:. For the Election committee,
359:Arbitration Committee election
350:ArbCom elections are now open!
334:. For the Election committee,
304:Arbitration Committee election
295:ArbCom elections are now open!
138:11:01, 29 September 2014 (UTC)
124:19:47, 28 September 2014 (UTC)
44:(The following is in reply to
1:
3379:00:32, 28 November 2023 (UTC)
3291:00:40, 29 November 2022 (UTC)
3201:00:30, 23 November 2021 (UTC)
3116:11:52, 11 November 2021 (UTC)
3062:02:25, 24 November 2020 (UTC)
2804:23:15, 27 November 2019 (UTC)
2764:00:12, 19 November 2019 (UTC)
2680:10:37, 3 September 2019 (UTC)
2636:18:42, 19 November 2018 (UTC)
2469:08:45, 19 December 2017 (UTC)
2446:00:11, 30 November 2017 (UTC)
703:22:08, 21 November 2016 (UTC)
490:" userright, allowing you to
469:14:16, 18 December 2015 (UTC)
446:10:08, 18 December 2015 (UTC)
399:14:12, 24 November 2015 (UTC)
344:14:08, 24 November 2015 (UTC)
229:Joseph A. Spadaro's talk page
207:Joseph A. Spadaro's talk page
157:03:13, 30 December 2014 (UTC)
2540:18:42, 3 December 2017 (UTC)
2426:12:23, 8 November 2017 (UTC)
2111:05:19, 6 November 2017 (UTC)
2081:15:56, 4 November 2017 (UTC)
1324:16:54, 2 November 2017 (UTC)
1315:16:09, 2 November 2017 (UTC)
1301:12:11, 25 October 2017 (UTC)
1159:15:09, 13 October 2017 (UTC)
1149:14:35, 13 October 2017 (UTC)
545:14:46, 29 January 2016 (UTC)
534:14:43, 29 January 2016 (UTC)
517:, the guideline on reviewing
289:15:46, 16 October 2015 (UTC)
188:00:47, 8 February 2015 (UTC)
174:19:46, 7 February 2015 (UTC)
2977:15:41, 12 August 2020 (UTC)
2960:15:11, 12 August 2020 (UTC)
2777:Hello Thinking of England,
1395:= 29.8 km/sec = 18.5 mi/sec
1386:= 42.1 km/sec = 26.2 mi/sec
1374:= 11.2 km/sec = 6.96 mi/sec
878:and that exerted by number
738:23:41, 15 August 2017 (UTC)
687:and submit your choices on
385:and submit your choices on
330:and submit your choices on
3397:
3371:MediaWiki message delivery
3283:MediaWiki message delivery
3193:MediaWiki message delivery
3054:MediaWiki message delivery
2853:01:54, 15 April 2020 (UTC)
2756:MediaWiki message delivery
2628:MediaWiki message delivery
2532:MediaWiki message delivery
1491:§List of escape velocities
724:00:56, 22 April 2017 (UTC)
695:MediaWiki message delivery
685:the candidates' statements
606:these opt-out instructions
391:MediaWiki message delivery
336:MediaWiki message delivery
194:28.2425 days hath February
96:19:17, 5 August 2014 (UTC)
74:18:47, 5 August 2014 (UTC)
53:19:17, 5 August 2014 (UTC)
2916:02:25, 25 June 2020 (UTC)
2652:
2565:21:46, 6 March 2018 (UTC)
628:12:24, 25 June 2016 (UTC)
618:12:02, 25 June 2016 (UTC)
515:Knowledge (XXG):Reviewing
492:review other users' edits
431:Thanking you in a project
3368:to your user talk page.
3280:to your user talk page.
3190:to your user talk page.
3093:20:39, 16 May 2021 (UTC)
3052:to your user talk page.
2782:Template:Calendar widget
2754:to your user talk page.
2127:Escape velocity#Overview
488:pending changes reviewer
475:pending changes reviewer
269:21:05, 15 May 2015 (UTC)
258:20:27, 15 May 2015 (UTC)
179:The above is a reply to
2875:14:29, 4 May 2020 (UTC)
1361:As before, I will use:
583:my operator's talk page
571:Non-judicial punishment
62:WikiProject Spaceflight
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3329:Arbitration Committee
3312:Hello! Voting in the
3241:Arbitration Committee
3224:Hello! Voting in the
3151:Arbitration Committee
3135:Hello! Voting in the
3013:Arbitration Committee
2997:Hello! Voting in the
2925:At the RD you wrote "
2908:Sagittarian Milky Way
2886:
2715:Arbitration Committee
2699:Hello! Voting in the
2595:Arbitration Committee
2499:Arbitration Committee
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460:and its own outgoing
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363:Arbitration Committee
308:Arbitration Committee
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2809:ITN recognition for
2406:_Retrograde_Sun's_RF
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2073:Username160611000000
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367:arbitration process
312:arbitration process
64:for their opinion.
3345:arbitration policy
3257:arbitration policy
3167:arbitration policy
3029:arbitration policy
2921:Modular arithmetic
2898:remove this notice
2888:
2825:On 15 April 2020,
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2394:_Prograde_Sun's_RF
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637:: Voting now open!
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324:arbitration policy
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2184:retrograde launch
2121:Direction matters
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1284:{\displaystyle v}
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993:then the work is
891:{\displaystyle 2}
871:{\displaystyle 1}
851:{\displaystyle 3}
540:Thanks Katie! --
462:thermal radiation
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2837:Jacques Blamont
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2151:_Unmoving_Earth
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2459:Best wishes,
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2408:= 43.0 km/sec
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2401:
2398:
2396:= 46.4 km/sec
2393:
2389:
2386:
2385:
2384:
2375:
2369:
2365:
2359:
2355:
2349:
2345:
2342:
2336:
2330:
2326:
2320:
2316:
2310:
2306:
2303:
2302:
2301:
2299:
2292:= 73.4 km/sec
2288:
2282:
2278:
2272:
2268:
2263:
2259:
2253:
2249:
2245:
2243:= 13.8 km/sec
2239:
2233:
2229:
2223:
2219:
2214:
2210:
2204:
2200:
2196:
2195:
2194:
2192:
2187:
2185:
2181:
2170:
2166:
2160:
2156:
2150:
2146:
2143:
2142:
2141:
2136:
2132:
2131:
2130:
2128:
2120:
2112:
2108:
2104:
2099:
2095:
2091:
2088:
2084:
2083:
2082:
2078:
2074:
2054:
2048:
2034:
2027:
1994:
1983:
1979:
1976:
1969:
1963:
1957:
1943:
1939:
1930:
1923:
1874:
1863:
1859:
1856:
1849:
1837:
1826:
1822:
1819:
1785:
1774:
1770:
1767:
1760:
1748:
1737:
1733:
1730:
1718:
1717:
1716:
1715:
1714:
1711:
1710:... cont ...
1703:
1697:
1693:
1687:
1683:
1678:
1674:
1670:
1664:
1658:
1654:
1648:
1644:
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1635:
1631:
1630:
1629:
1622:
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1616:
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1596:
1592:
1587:
1583:
1580:
1579:
1578:
1570:
1566:
1561:
1557:
1551:
1547:
1544:
1543:
1542:
1539:
1535:
1530:
1526:
1520:
1516:
1510:
1506:
1501:
1497:
1494:
1492:
1485:
1479:
1475:
1469:
1465:
1460:
1458:
1453:
1449:
1442:
1436:
1432:
1424:
1419:
1415:
1408:
1401:
1397:
1391:
1388:
1383:
1379:
1376:
1371:
1367:
1364:
1363:
1362:
1359:
1356:
1352:
1347:
1343:
1335:
1325:
1322:
1318:
1317:
1316:
1312:
1308:
1304:
1303:
1302:
1298:
1294:
1278:
1270:
1245:
1234:
1230:
1223:
1211:
1200:
1196:
1189:
1183:
1178:
1174:
1162:
1161:
1160:
1157:
1153:
1152:
1151:
1150:
1146:
1142:
1135:
1129:
1112:
1107:
1103:
1099:
1094:
1090:
1086:
1078:
1075:
1070:
1060:
1057:
1049:
1046:
1041:
1031:
1028:
1020:
1017:
1012:
1002:
978:
973:
963:
958:
948:
943:
912:
885:
865:
845:
823:
819:
814:
808:
804:
798:
794:
790:
787:
784:
779:
775:
761:
759:
752:
749:
745:
743:
740:
739:
736:
728:
726:
725:
721:
717:
709:
705:
704:
700:
696:
692:
691:
686:
681:
679:
675:
671:
667:
663:
658:
655:
654:
645:
636:
633:
629:
626:
622:
621:
620:
619:
615:
611:
607:
599:
594:
593:
589:
588:
587:
584:
580:
579:edit the page
576:
572:
568:
563:
550:
546:
543:
539:
538:
535:
532:
528:
525:
522:
519:
516:
513:
512:
511:
510:
506:
503:
501:
497:
493:
481:
474:
470:
467:
463:
459:
455:
450:
449:
448:
447:
443:
439:
430:
425:
418:
411:
403:
401:
400:
396:
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388:
384:
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372:
368:
364:
360:
351:
348:
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341:
337:
333:
329:
325:
321:
317:
313:
309:
305:
296:
293:
291:
290:
286:
282:
275:Yes, I saw it
274:
270:
267:
262:
261:
260:
259:
255:
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237:
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223:
215:
208:
201:
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63:
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38:
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26:
23:
16:
3355:
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3326:
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3177:
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3148:
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3110:
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3010:
3004:
2998:
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2878:
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2863:
2835:
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2792:
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2735:
2712:
2706:
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2672:Gerda Arendt
2669:
2621:
2615:
2592:
2584:
2582:
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2525:
2519:
2496:
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2414:
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2403:
2399:
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2373:
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2363:
2357:
2353:
2347:
2343:
2334:
2328:
2324:
2318:
2314:
2308:
2304:
2297:
2295:
2286:
2280:
2276:
2270:
2266:
2261:
2257:
2251:
2247:
2237:
2231:
2227:
2221:
2217:
2212:
2208:
2202:
2198:
2190:
2188:
2183:
2179:
2176:
2168:
2164:
2158:
2154:
2148:
2144:
2139:
2133:
2124:
1712:
1709:
1701:
1695:
1691:
1685:
1681:
1676:
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1642:
1637:
1633:
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1614:
1612:
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1600:
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1555:
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1545:
1537:
1533:
1528:
1524:
1518:
1514:
1508:
1504:
1502:
1498:
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1440:
1434:
1430:
1428:
1417:
1413:
1406:
1399:
1389:
1381:
1377:
1369:
1365:
1360:
1345:
1341:
1339:
1320:
1155:
1139:
1133:
765:
755:
741:
732:
713:
688:
682:
659:
651:
649:
624:
603:
597:
554:
541:
508:
507:
504:
485:
465:
434:
354:
299:
278:
265:
246:
184:
177:
165:
162:WoolSalesman
146:
127:
112:
105:
92:
89:SpaceX CRS-7
85:SpaceX CRS-6
81:SpaceX CRS-5
58:
49:
42:
20:
3357:voting page
3269:voting page
3179:voting page
3041:voting page
2829:In the news
2743:voting page
2623:voting page
2527:voting page
2377:Orbital@1AU
2350:_Retrograde
2338:Orbital@1AU
2290:Orbital@1AU
2254:_Retrograde
2241:Orbital@1AU
1705:Orbital@1AU
1666:Orbital@1AU
1618:Orbital@1AU
1487:Orbital@1AU
1444:Orbital@1AU
1393:Orbital@1AU
735:HappyCamper
560:Hello, I'm
281:Gurumaister
66:Vegaswikian
3341:topic bans
3253:topic bans
3163:topic bans
3025:topic bans
2727:topic bans
2663:Ten years!
2607:topic bans
2511:topic bans
2454:Parity bit
2438:Bob K31416
1439:= sqrt(2)
1429:Note that
710:Massive TY
674:topic bans
610:BracketBot
608:. Thanks,
562:BracketBot
458:insolation
375:topic bans
320:topic bans
3337:site bans
3249:site bans
3159:site bans
3085:IBBishops
3021:site bans
2793:Steel1943
2723:site bans
2603:site bans
2547:Re: crank
2507:site bans
2311:_Prograde
2300:) gives:
2298:Exercises
2205:_Prograde
2191:Solutions
1879:earth-sun
1790:earth-sun
1632:Correct:
1250:earth-sun
716:Splićanin
670:site bans
567:your edit
551:June 2016
509:See also:
371:site bans
316:site bans
2896:You can
2868:Mr Xaero
2370:_Sun@1AU
2352:= sqrt(
2331:_Sun@1AU
2313:= sqrt(
2283:_Sun@1AU
2234:_Sun@1AU
2171:_Sun@1AU
2135:planet).
1698:_Sun@1AU
1659:_Sun@1AU
1641:= sqrt(
1607:_Sun@1AU
1552:_Sun@1AU
1511:_Sun@1AU
1480:_Sun@1AU
1470:_Sun@1AU
1437:_Sun@1AU
1384:_Sun@1AU
1269:Ch. 13-3
422:You can
404:Talkback
234:You can
212:You can
17:Archives
3364:NoACEMM
3276:NoACEMM
3186:NoACEMM
3048:NoACEMM
2967:Lambiam
2965:Thanks
2957:Lambiam
2942:0 <
2750:NoACEMM
2648:Awesome
2265:= sqrt(
2246:Wrong:
2216:= sqrt(
2197:Wrong:
2153:= sqrt(
1948:e.earth
1910:m/sec.
1680:= sqrt(
1671:Wrong:
1589:= sqrt(
1410:initial
751:archive
171:Snowman
147:Okay.
3071:Thanks
2955:"? --
2461:Robinh
2360:_Earth
2321:_Earth
2273:_Earth
2224:_Earth
2161:_Earth
1688:_Earth
1649:_Earth
1597:_Earth
1571:_Earth
1521:_Earth
1372:_Earth
729:Thanks
575:syntax
361:. The
306:. The
87:, and
2935:<
2931:<
2431:Break
2039:earth
1999:earth
1988:earth
1935:earth
1842:earth
1831:earth
1753:earth
1742:earth
1216:earth
1205:earth
531:Katie
183:. --
168:Giant
48:. --
3375:talk
3327:The
3287:talk
3239:The
3197:talk
3149:The
3089:talk
3058:talk
3011:The
2927:0 ≤
2912:talk
2879:==
2847:Step
2800:talk
2760:talk
2713:The
2676:talk
2632:talk
2593:The
2561:talk
2553:here
2536:talk
2497:The
2465:talk
2442:talk
2285:) +
2236:) -
2107:talk
2098:10-5
2094:10-7
2077:talk
1906:to v
1700:) -
1398:and
1311:talk
1305:UP.
1297:talk
1145:talk
764:...
758:13-3
720:talk
699:talk
660:The
614:talk
454:here
442:talk
395:talk
340:talk
285:talk
254:talk
153:talk
134:talk
120:talk
70:talk
34:2013
31:2012
28:2011
25:2010
22:2009
2974:ToE
2904:==
2850:hen
2557:JBL
2423:ToE
2362:+ (
2323:+ (
2096:,
2087:PNG
1868:sun
1779:sun
1668:) )
1651:+ (
1455:in
1321:ToE
1239:sun
1156:ToE
760::
748:JPG
625:ToE
569:to
542:ToE
466:ToE
355:Hi,
300:Hi,
266:ToE
243:Hey
185:ToE
143:RDS
93:ToE
50:ToE
3377:)
3366:}}
3362:{{
3339:,
3289:)
3278:}}
3274:{{
3251:,
3199:)
3188:}}
3184:{{
3161:,
3106:jp
3091:)
3083:--
3060:)
3050:}}
3046:{{
3023:,
2950:≤
2946:−
2914:)
2845:.
2802:)
2762:)
2752:}}
2748:{{
2725:,
2678:)
2670:--
2634:)
2626:.
2605:,
2563:)
2538:)
2530:.
2509:,
2467:)
2444:)
2436:--
2404:te
2392:te
2372:+
2348:te
2333:-
2309:te
2275:+
2262:te
2256:=
2252:te
2226:+
2213:te
2207:=
2203:te
2163:+
2149:te
2129::
2109:)
2079:)
1970:−
1690:+
1677:te
1661:-
1638:te
1599:+
1563:-
1554:=
1482:-
1452:te
1412:-
1405:=
1346:te
1313:)
1299:)
1224:−
1190:−
1147:)
1108:23
1095:13
1076:⋅
1071:23
1061:∫
1047:⋅
1042:13
1032:∫
1018:⋅
1003:∫
974:23
959:13
824:12
788:−
780:12
722:)
701:)
693:.
672:,
616:)
502:.
444:)
397:)
373:,
342:)
318:,
287:)
256:)
155:)
136:)
122:)
83:,
72:)
3373:(
3285:(
3195:(
3112:g
3109:×
3087:(
3056:(
2952:n
2948:b
2944:a
2937:n
2933:b
2929:a
2910:(
2893:.
2798:(
2758:(
2674:(
2630:(
2559:(
2534:(
2463:(
2440:(
2400:v
2388:v
2374:v
2368:e
2364:v
2358:e
2354:v
2344:v
2335:v
2329:e
2325:v
2319:e
2315:v
2305:v
2287:v
2281:e
2277:v
2271:e
2267:v
2258:v
2248:v
2238:v
2232:e
2228:v
2222:e
2218:v
2209:v
2199:v
2169:e
2165:v
2159:e
2155:v
2145:v
2105:(
2100:.
2090:.
2075:(
2070:.
2055:2
2049:2
2045:)
2035:v
2031:(
2028:m
1995:R
1984:M
1980:m
1977:G
1964:2
1958:2
1954:)
1944:v
1940:+
1931:v
1927:(
1924:m
1908:2
1904:1
1900:2
1875:R
1864:M
1860:m
1857:G
1850:+
1838:R
1827:M
1823:m
1820:G
1786:R
1775:M
1771:m
1768:G
1761:+
1749:R
1738:M
1734:m
1731:G
1702:v
1696:e
1692:v
1686:e
1682:v
1673:v
1663:v
1657:e
1653:v
1647:e
1643:v
1634:v
1615:v
1605:e
1601:v
1595:e
1591:v
1586:i
1582:v
1569:e
1565:v
1560:i
1556:v
1550:e
1546:v
1538:i
1534:v
1529:i
1525:v
1519:e
1515:v
1509:e
1505:v
1484:v
1478:e
1474:v
1468:e
1464:v
1448:v
1441:v
1435:e
1431:v
1418:e
1414:v
1407:v
1403:∞
1400:v
1390:v
1382:e
1378:v
1370:e
1366:v
1342:v
1309:(
1295:(
1279:v
1246:R
1235:M
1231:G
1212:R
1201:M
1197:G
1184:2
1179:2
1175:v
1143:(
1113:.
1104:W
1100:+
1091:W
1087:=
1083:s
1079:d
1066:F
1058:+
1054:s
1050:d
1037:F
1029:=
1025:s
1021:d
1013:3
1008:F
979:,
969:F
964:+
954:F
949:=
944:3
939:F
913:3
908:F
886:2
866:1
846:3
820:r
815:/
809:2
805:m
799:1
795:m
791:G
785:=
776:W
718:(
697:(
612:(
598:)
585:.
440:(
419:.
393:(
338:(
283:(
252:(
231:.
209:.
151:(
132:(
118:(
68:(
55:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.