Timeline for According to my calculations Jupiter's moons do not follow Kepler's 3rd law - Why is that?
Current License: CC BY-SA 3.0
13 events
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| Oct 14, 2016 at 3:53 | comment | added | LaserYeti | @ribarcheto94 I understand that I only listed three within the 4-2-1, the reason is that you will not usually find other satellites listed within the Jovian set that have a "nice" resonance pattern... the reality is that the 4-2-1 is a farce, and just for the intro astronomy students, so they can wrap their heads around the idea of orbital resonance. However if you wanted to continue the pattern, it would be something like 9-4-2-1, none of these are exact, but they are fairly close so it should still work. | |
| Oct 13, 2016 at 19:54 | history | edited | James K | CC BY-SA 3.0 |
added 4 characters in body
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| Oct 13, 2016 at 14:49 | answer | added | ribarcheto94 | timeline score: 1 | |
| Oct 13, 2016 at 14:35 | comment | added | ribarcheto94 | @LaserYeti What about Jupiter's 4th moon though? It's not included in that 4-2-1 relation/ratio. | |
| Oct 13, 2016 at 13:42 | comment | added | Py-ser | How can you mess up with the 3rd Kepler law in such a way? You never thought to check the correctness of the equation before to make a post here? | |
| Oct 13, 2016 at 13:41 | answer | added | ProfRob | timeline score: 10 | |
| Oct 13, 2016 at 9:59 | history | edited | Warrick | CC BY-SA 3.0 |
TeXified numbers a bit; Keplar -> Kepler
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| Oct 13, 2016 at 5:13 | comment | added | LaserYeti | I also feel that because the Kepler's law that you're to be using is the "modified" or Newtonian version, $P^2=\frac{a^3}{(M+m)}$ or the full equation, $P^2=\frac{4\pi^2a^3}{G(M+m)}$. Either way I think you're simply looking for the 4-2-1 relation of the moon's orbits wrt the proportionate distances they are from Jupiter. | |
| Oct 13, 2016 at 4:56 | answer | added | LocalFluff | timeline score: 2 | |
| Oct 13, 2016 at 3:44 | comment | added | ribarcheto94 | I guess I don't really understand what they mean by "the same scaling". Can you please expand on that? | |
| Oct 12, 2016 at 23:30 | comment | added | chirlu | Reread the task: that they obey the same scaling as in Kepler’s third law. It's to be expected the moons don’t move at the same speed as the planets; that’s because they orbit a different body, with a different mass. Coincidentally, you can’t say anything about ratios by looking at only one moon. | |
| Oct 12, 2016 at 23:22 | review | First posts | |||
| Oct 13, 2016 at 7:53 | |||||
| Oct 12, 2016 at 23:19 | history | asked | ribarcheto94 | CC BY-SA 3.0 |