Timeline for What determines the orbital speed around a Lagrange point?
Current License: CC BY-SA 3.0
10 events
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| Jan 2, 2022 at 22:42 | comment | added | uhoh | @nealmcb wow that looks really intriguing! Right now I have no idea, but let me give it some though while my morning coffee starts to kick in... Hmm.. math... sing... hmm... | |
| Jan 2, 2022 at 20:24 | comment | added | nealmcb | @uhoh The youtube video which you reference in your comment was removed. Which song was it? | |
| Apr 27, 2017 at 2:19 | comment | added | uhoh | @LocalFluff but as this comment and my reply point out, something in a halo orbit about Sun-Earth L1 or L2 is really primarily in orbit around the Sun but the orbit is slightly modified by the presence of the Earth. If you look at it in an inertial frame, it's going around the sun, "stuck" to the Earth, and wiggling a little. If you look at it while rotating along with the Earth, only then do those wiggles reveal themselves to be a manifestation of that "halo shape" in the rotating frame. | |
| Apr 26, 2017 at 13:20 | comment | added | uhoh | @LocalFluff yep, yep, nope not at all, yep, yep, yep, and yep. It's not any kind of a law effect. It's just what happens in this particular kind of 3 body orbit. No rules, lots, and lots of surprises. Unless you dig deep into the math, you just have to throw up your hands and sing youtu.be/azxoVRTwlNg?t=24 | |
| Apr 26, 2017 at 12:19 | comment | added | LocalFluff | @uhoh "and [the period] in fact become shorter as the orbit becomes 'higher'" (in this case farther from L2)." Really!? So it's kind of a reverse Kepler law effect? And does it really take 6 months for a telescope at L2 to make one halo orbit? That's very slow. A halo orbit can hardly have more that 1/100 of the semi-major axis compared to that of Earth's orbit around the Sun. Still 1/2 the period? | |
| Apr 25, 2017 at 0:35 | comment | added | uhoh | @LocalFluff These halo orbits (as many do) have a period of roughly half of the main two-body orbit (which is 2π2π in this dimensionless example), and in fact become shorter as the orbit becomes "higher" (in this case farther from L2). So if you look at satellites in halo or Lissajous orbits around an Sun-Earth L1 or L2, they have, roughly speaking about five or six month orbit "periods", where period is fairly well defined for a halo, and less-so for a Lissajous. There's all kinds of other quasi-periodic ones as well. | |
| Apr 25, 2017 at 0:32 | comment | added | uhoh | @pericynthion in the CR3BP L1, L2, L3 also have periodic, closed halo orbits, in addition to the funky Lissajous orbits. In the real n-body world, no orbit is strictly closed or strictly periodic. | |
| Apr 24, 2017 at 19:59 | comment | added | LocalFluff | Could a higher "orbit" have shorter period? | |
| Apr 24, 2017 at 19:43 | comment | added | Erik | Bingo. You are no longer dealing with a two-body problem. | |
| Apr 24, 2017 at 19:33 | history | answered | pericynthion | CC BY-SA 3.0 |