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3 votes
2 answers
802 views

How to find zero velocity contours for circular restricted 3-body problem in x-y plane?

(I am having physics background; I am not an astronomer/astrophysicist.) How to solve a single nonlinear algebraic equation in two variables, $x$ and $y$? (I know that - if there are two variables, ...
atom's user avatar
  • 169
5 votes
0 answers
206 views

Different techniques for calculation of celestial bodies dynamics with different time-scales

Differential equations describing the dynamics of celestial bodies (rotation, nutation, precession and other effects) can be solved numerically, which makes it possible to study their general non-...
ayr's user avatar
  • 886
4 votes
3 answers
2k views

Question about the Figure-eight periodic planar three-body motion

If this is a posible periodic solution for a three-body problem, can anybody tell me where is the center of mass of the system? As we know, in a n-body problem the bodies orbit around their center of ...
Carlos Vázquez Monzón's user avatar