The problem of three fixed centers

Details The problem of three fixed centers The problem of three fixed centers

Jun 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975sval....1..132a&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 1, June 1975, p. 42-45.) Soviet Astronomy Letters, vol. 1, May-June 1975, p. 132, 133.

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Gravitational Fields, Natural Satellites, Three Body Problem, Differential Equations, Equations Of Motion, Gravitational Effects, Integral Equations, Quadratures

Scientific paper

The plane problem of the motion of a passively gravitating material point in the gravitational field of three fixed centers is reduced to quadratures. In this problem, one of the fixed masses is real and located at the system's center of mass, while the other two may be either real or complex-conjugate and are located on the same line as the first. Application of the results to the theory of planetary satellite motion is considered.

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