Timeline for Could the Moon placed near the Sun-Earth L1 point remain in a heliocentric 1:1 resonant orbit with Earth? If Earth were at 1 AU, where's the Moon?
Current License: CC BY-SA 4.0
9 events
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Nov 20, 2021 at 1:07 | vote | accept | uhoh | ||
Oct 4, 2021 at 21:47 | comment | added | PM 2Ring | The Earth-Moon distance is just under 1,497,562,894 m, the distance from the centre of the Sun to system barycentre is 454,788 m, and the system period is 365 d 04 h 32 m 10.26 s. | |
Oct 2, 2021 at 14:31 | comment | added | uhoh | @DavidHammen no the question is not nonsense. If you don't understand the question you can ask for clarification in a comment, rather than use it for disparagement. The Sun-Earth L1 point is a defined concept. It's a place about 1.5 million km from the Earth towards the Sun. It is no longer a useful concept when the massive Moon is there, but we can still understand what area that "near the Sun-Earth L1 point" refers to. | |
Oct 2, 2021 at 13:36 | answer | added | Peter Erwin | timeline score: 8 | |
Oct 2, 2021 at 9:58 | comment | added | Peter Erwin | @uhoh Lagrange's solution was for arbitrary masses, not just the restricted 3-body problem, so it's perfectly sensible to talk about L1, L2, etc. in such cases. It was shown in the 19th Century that the L1, L2, and L3 points are always unstable, while the L4 and L5 points are stable when the sum of the masses of the smaller objects relative to the total mass of all three is small enough. | |
Oct 2, 2021 at 9:54 | comment | added | David Hammen | @uhoh, PM 2Ring is correct. This question is nonsense, and your comment says it's nonsense. The question asks "Could the Moon placed near the Sun-Earth L1 point remain in a heliocentric 1:1 resonant orbit with Earth?" and your comment says "since the Moon has substantial mass, there is no longer any such thing as L1." So which is it? | |
Oct 2, 2021 at 8:18 | comment | added | uhoh | @PM2Ring since the Moon has substantial mass, there is no longer any such thing as L1. The whole point of my linked answer is that this is not the restricted three-body problem of Lagrange any more. An answer here will need to be more than a one-liner. It will likely need some combination of math and source-citing. | |
Oct 2, 2021 at 8:10 | comment | added | PM 2Ring | L1 is unstable, so the Moon would soon drift away from it because of perturbations from the other planets. | |
Oct 2, 2021 at 3:04 | history | asked | uhoh | CC BY-SA 4.0 |