Integrable cases of the Hamilton-Jacobi equation and the rectilinear restricted three-body problem with variable mass

Details Integrable cases of the Hamilton-Jacobi equation and the rectilinear restricted three-body problem with variable mass Integrable cases of the Hamilton-Jacobi equation and the rectilinear restricted three-body problem with variable mass

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987azh....64..850b&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 64, July-Aug. 1987, p. 850-859. In Russian.

Astronomy and Astrophysics

Astronomy

3

Boundary Value Problems, Celestial Mechanics, Hamilton-Jacobi Equation, Integral Equations, Three Body Problem, Variable Mass Systems

Scientific paper

New integrable cases for the Hamilton-Jacobi equation have been found.
As an application, the straight-line restricted three-body problem with
variable mass is considered. The exact solutions of the problem in which
the motion of two finite bodies is determined by the classical
non-stationary Gylden-Mestschersky problem, have been obtained.

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