A Jacobi-type integral in the circular restricted problem of three rigid bodies

Details A Jacobi-type integral in the circular restricted problem of three rigid bodies A Jacobi-type integral in the circular restricted problem of three rigid bodies

Jun 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986sval...12..167k&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 12, May 1986, p. 398-401) Soviet Astronomy Letters (ISSN 0360-0327), vol. 12, May-June

Astronomy and Astrophysics

Astronomy

Equations Of Motion, Gravitational Fields, Jacobi Integral, Rigid Structures, Three Body Problem, Cartesian Coordinates, Liapunov Functions, Satellite Orbits, Satellite Rotation

Scientific paper

A first integral is obtained for equations describing the translational-rotational motion of a passive satellite body of a arbitrary shape and dynamical structure. It is moving in the gravitational field of two active bodies whose centers of mass are in mutual circular orbit and which maintain fixed orientations in a rotating reference frame. If the bodies are all mass points or spheres with concentric density contours, then the integral obtained will reduce to the classical Jacobi integral for the circular restricted three-body problem.

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