On the solution of the problem of three fixed centres

Details On the solution of the problem of three fixed centres On the solution of the problem of three fixed centres

Apr 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15..265a&link_type=abstract

Celestial Mechanics, vol. 15, Apr. 1977, p. 265-276.

Mathematics

Complex Variables

3

Center Of Gravity, Equations Of Motion, Gravitational Fields, Newton Theory, Complex Variables, Conjugate Points, Quadratures, Satellite Orbits

Scientific paper

A solution is found for the problem of the motion of a passively
gravitating material point P (satellite) in the Newtonian gravitational
field of three fixed masses, where at least one of the masses is real
and the other two may be either real or complex conjugates. The plane
problem in the real and complex variants is reduced to quadratures.

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