Mathematical model of the restricted three-body problem in a noninertial reference system

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Mathematical Models, Nonlinear Systems, Reference Systems, Three Body Problem, Astronomical Coordinates, Center Of Mass, Equations Of Motion, Two Body Problem

Scientific paper

With regard to the restricted three-body problem equations of motion are
derived for a small body in a coordinate system related to the center of
mass of one of the larger bodies. The forces of inertia entering into
the equations of motion from the accelerated motion of the reference
system are determined by an inversion of the two-body problem.

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