On one type of the restricted three-body problem.

Astronomy and Astrophysics – Astronomy

Scientific paper

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Three-Body Problem: Restricted

Scientific paper

One type of the restricted three-body problem is formulated. The first integrals and the exact solutions are considered as they stand to the corresponding ones in the general three-body problem. Equations of motion in Jacobi coordinates are expanded over Legendre polynomials, which gives suitable form for studying the so called stellar configurations of the three-body problem.

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