3 ms·
Isn‘t it more of a lagrange... „membrane“? A complex, three dimensional bubble with zero thickness and very complex topology, formed by the infinite amount of l
by Traubenfuchs 5y ago
Isn‘t it more of a lagrange... „membrane“? A complex, three dimensional bubble with zero thickness and very complex topology, formed by the infinite amount of lagrange points whereas there is exactly one lagrange point for the earth to each globe 2D coordinate?
- rich_sasha 5y agoIn the restricted three-body problem, where two massive bodies orbit each other in a circle, the Lagrange points are literally points - anywhere but the five exact 3d coordinates and there is a net acceleration away from your location. Not sure if that's what you mean, but if you're happy to assume that the massive bodies (e.g. Earth and Sun) are spherical, then you can exactly replace them with point masses, without approximation, so there's no multiplicity in Lagrange points coming from that. Of course, orbits are not circular, and there are external forces too - other planets' gravity, (tiny) orbital drag, solar wind pressure etc. so in practice it's all a bit different anyway.
- Traubenfuchs 5y agoI more viewed it as an all body problem, with the question always being: How far above my head is the lagrange point at some specific coordinates on earth? I mean, every earth coordinate (e.g. New York, Tokyo, etc.) has it‘s lagrange point, right?