Timeline for Stability of the Solar System
Current License: CC BY-SA 3.0
36 events
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| Apr 20, 2016 at 14:49 | review | Suggested edits | |||
| Apr 20, 2016 at 14:50 | |||||
| Apr 20, 2016 at 14:38 | history | edited | user68208 | CC BY-SA 3.0 |
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| Sep 11, 2015 at 13:23 | history | edited | user68208 | CC BY-SA 3.0 |
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| Aug 3, 2015 at 18:58 | history | edited | user68208 | CC BY-SA 3.0 |
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| Jul 10, 2015 at 21:32 | comment | added | user68208 | @Timothy Chow: It is clear that every one prefer a theorem in comparison of numerical solution or statistical sense. But for find the theorem for stability of the solar system KAM theory failed and until now, we couldn't solve the N-body problem for complex cases (even in simple cases that i mentioned) like solar system. | |
| Jul 10, 2015 at 18:13 | comment | added | Timothy Chow | @2000 : It doesn't follow from the insolubility of the 3-body problem that the (classical) stability of the solar system is also insoluble. As you yourself mentioned, KAM theory allows us to prove the stability of some solar-system-like arrangements. | |
| Jul 10, 2015 at 11:28 | history | edited | user68208 | CC BY-SA 3.0 |
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| Jul 9, 2015 at 15:28 | comment | added | user68208 | When we couldn't solve the 3-body problem even in the special case:"two sun + 1 planet with zero mass" (this site have a nice simulation for this) by simple formula of Newton's law of gravity, then we have't any chance to solve this problem with general relativity or solve this for N-bodies. Hence for solve the problem of the stabilization of the solar system, it's better that we go to the numerical simulation and statistical sense.(at least now) | |
| Jul 9, 2015 at 14:38 | comment | added | Timothy Chow | I suspect that the reason Villani laughed is that this is one of those questions that seems well-defined but isn't, and has a long and somewhat controversial history. Saying "the sun and 8 planets" seems to make the question well-defined, but are you assuming classical mechanics? What about general relativity? How long before the sun goes nova? Do you want a theorem or a numerical simulation? How close does a theorem have to be to "reality" before you consider the problem "solved"? It's O.K. to assume away the dwarf planets but not to assume that Jupiter is smaller than it is? Etc. | |
| Jul 9, 2015 at 14:04 | vote | accept | CommunityBot | ||
| Jul 8, 2015 at 6:40 | answer | added | Zurab Silagadze | timeline score: 32 | |
| Jul 8, 2015 at 1:25 | answer | added | Bill Satzer | timeline score: 5 | |
| Jul 7, 2015 at 12:32 | comment | added | user68208 | @G_infinity: Yes,you are in right, but usually we consider the solar system as the sun and 8 planets. If the planets masses (specially Jupiter) was small, then we had stable solar system (sun + 8 planets) by KAM theorem. | |
| Jul 7, 2015 at 11:04 | comment | added | Giovanni Moreno | It also depends on the notion of "Solar System": if it comprises "parabolic" objects like comets (and I believe it should), then it is not stable at all. From my point of view, "stable" and "periodic" are interchangeable terms. Besides, how can you predict when/why/where a distant iceberg will decide to dive into the sun? | |
| Jul 6, 2015 at 2:17 | history | edited | user68208 | CC BY-SA 3.0 |
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| Jul 5, 2015 at 23:03 | history | reopened |
Daniel Moskovich Joonas Ilmavirta Felipe Voloch Johannes Hahn Yemon Choi |
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| Jul 5, 2015 at 22:02 | history | edited | user68208 | CC BY-SA 3.0 |
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| Jul 5, 2015 at 21:56 | vote | accept | CommunityBot | ||
| Jul 9, 2015 at 14:04 | |||||
| Jul 4, 2015 at 23:25 | history | edited | user68208 | CC BY-SA 3.0 |
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| Jul 4, 2015 at 18:11 | review | Reopen votes | |||
| Jul 4, 2015 at 19:48 | |||||
| Jul 4, 2015 at 17:00 | history | edited | user68208 | CC BY-SA 3.0 |
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| Jul 4, 2015 at 15:18 | comment | added | Johannes Hahn | Wittyness aside, there are some real questions here before one can begin to answer. For example: On what timescale do you want stability? The solar system might be stable for the next million years or so but unstable if you look billions of years into the future. Consider for example that the number of planets has decreased over the last few billion years through collisions. Who is to say that earth won't collide with mars in the future for example? | |
| Jul 4, 2015 at 12:32 | review | Reopen votes | |||
| Jul 4, 2015 at 15:16 | |||||
| Jul 4, 2015 at 12:16 | history | edited | user68208 | CC BY-SA 3.0 |
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| Jul 4, 2015 at 8:21 | history | closed |
Will Jagy Carlo Beenakker Christian Remling Stopple Alex Degtyarev |
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| Jul 4, 2015 at 4:56 | comment | added | Gerry Myerson | Not only is the solar system unstable, but try getting a plumber on weekends. | |
| Jul 4, 2015 at 3:37 | answer | added | jesus | timeline score: 6 | |
| Jul 4, 2015 at 3:28 | history | edited | user68208 | CC BY-SA 3.0 |
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| Jul 4, 2015 at 2:55 | answer | added | Igor Rivin | timeline score: 16 | |
| Jul 4, 2015 at 1:21 | comment | added | KConrad | Although it's been about 10 years since Pluto was demoted from the list of planets, it still looks strange to me to see "8 planets" instead of 9. Perhaps billions of years from now there will be 15 planets after the opposing astronomers make another definition of what a planet is that lets in Pluto and its cousins. A relevant question is whether the definition of a planet will remain stable. | |
| Jul 4, 2015 at 1:03 | comment | added | Piyush Grover | If you give a somewhat mathematically rigorous definition of the stability, partial (numerical) answers can be found in J. Laskar's papers. | |
| Jul 4, 2015 at 0:47 | comment | added | Gerhard Paseman | Depends on your notion of stable. I'm basing many of my plans on the assumption that civilization will be around long enough to support my children and their children. Gerhard "Knows It's A Risky Assumption" Paseman, 2015.07.03 | |
| Jul 4, 2015 at 0:46 | review | Close votes | |||
| Jul 4, 2015 at 8:21 | |||||
| Jul 4, 2015 at 0:24 | history | edited | user68208 | CC BY-SA 3.0 |
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| Jul 4, 2015 at 0:19 | review | First posts | |||
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| Jul 4, 2015 at 0:18 | history | asked | user68208 | CC BY-SA 3.0 |