Some Integrable Cases of the Two-Body Problem with Mass Depending Both on Time and Distance

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

An extension of the Gylden-Meshcherskii problem when the mass depends
both on time and distance between two bodies is considered. Certain mass
loss laws as well as the Meshcherskii position vector and time
transformation are used to convert the problem into the cases with
equations of motion arising from integrable potentials.

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