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On Non-Stationary Problems of Celestial Mechanics

Published online by Cambridge University Press:  14 August 2015

T. B. Omarov
T. B. Omarov*
Affiliation:
Astrophysics Institute, Kazakh Academy of Sciences, Alma-Ata, USSR

Extract

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Some non-stationary problems of celestial mechanics can be described in an inertial system of right-angled coordinates with gravitational potential of the form:

where is a sufficiently arbitrary function of time and is the meaning of in the initial epoch For example, in a two-body problem of variable mass we have:

Type
Part I: Stability, N- and 3-Body Problems, Variable Mass
Information
Symposium - International Astronomical Union , Volume 81: Dynamics of the Solar System , 1979 , pp. 49 - 52
Copyright
Copyright © Reidel 1979 

References

Bekov, A. A., Omarov, T.B.: 1978, “Pis'ma v Astronomicheskij zhurnal”. Akademija Nauk SSSR. Izdatel'stvo “Nauka”, Moskva, 4, pp. 30–33.Google Scholar
Omarev, T.B.: 1975, Dynamics of gravitating systems of metagalaxy, Izdatel'stvo “Nauka”, Kaz. SSR, Alma-Ata.Google Scholar
Demchenko, B.I., Omarov, T.B.: 1977, “Trudy Astrofizicheskogo Instituta Akademii Nauk Kaz. SSR”, 29, pp. 16–21.Google Scholar