1. Two-body problem
The two-body problem (or Kepler's problem) consists in studying the relative motion of two particles, exerting between them the force of gravitational attraction, to the exclusion of any other force.
This problem is formulated in a galilean reference frame. The two point bodies have masses m1 and m2 respectively and positions and respectively.
Body 2 attracts body 1 with the gravitational force ...
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Two-body problem
First integrals
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