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Application of Szebehely’s Inverse Problem to Non-Stationary Dynamical Systems

Published online by Cambridge University Press:  12 April 2016

G.T. Omarova  and
T.S. Kozhanov
G.T. Omarova
Affiliation:
Astrophysical Institute of the Kazakh Academy of Sciences, 480068, Alma-Ata, Russia
T.S. Kozhanov
Affiliation:
Astrophysical Institute of the Kazakh Academy of Sciences, 480068, Alma-Ata, Russia

Abstract

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A first-order linear partial differential equation is presented, giving the non-stationary potential functions U=U (x,y,t) which give rise to a given family of evoling planar orbits f(x,y,t) = c in two-dimensional dynamical system. It is shown, that this equation is applied in celestial mechanics of variable mass.

Type
Part V General Celestial Mechanics and Stellar Dynamics
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 373 - 377
Copyright
Copyright © Nova Science Publishers 1993

References

1 Szebehely, V., (1974), ‘On the Determination of Potential’, in Proc. int. Mtg. on the Rotation of the Earth, Proverbio, E. (Ed.) Bologna.Google Scholar
2 Omarov, T.B. and Minglibaev, M. (1983), in Dynamical Trapping and Evolution in the Solar System, IAU Colloq. N.74, Saloniki.Google Scholar