The plane unrestricted three-body problem

Details The plane unrestricted three-body problem The plane unrestricted three-body problem

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987azh....64..860t&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 64, July-Aug. 1987, p. 860-864. In Russian.

Astronomy and Astrophysics

Astronomy

1

Celestial Mechanics, Three Body Problem, Equations Of Motion, Gravitational Fields, Jacobi Integral, Lagrange Coordinates

Scientific paper

The Lagrangian coordinates of the unrestricted three-body problem with forces proportional to rijα (rij are mutual distances between the bodies and α is an arbitrary real number not equal to -1) are chosen in such a way to make one of the equations of motion to be a Lagrange-Jacobi one. Cases of the unlimitedly increasing polar moment of inertia are specially considered. The paper contains the geometrical interpretation for the plane problem.

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