Physics
Scientific paper
Nov 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..12..277b&link_type=abstract
Celestial Mechanics, vol. 12, Nov. 1975, p. 277-295.
Physics
9
Celestial Mechanics, Lagrangian Equilibrium Points, Orbit Calculation, Three Body Problem, Equations Of Motion, Gravitational Fields, Partial Differential Equations, Periodic Variations, Set Theory
Scientific paper
The collinear equilibrium position of the circular restricted problem with the two primaries at unit distance and the massless body at the point L3 is extended to the planar three-body problem with respect to the mass of the third body; the mass ratio of the two primaries is considered constant and the constant angular velocity of the straight line on which the three masses stay at rest is taken equal to 1. As regards periodic motions 'around' the equilibrium point L3, four possible extensions from the restricted to the general problem are presented each of them starting with a simple or a doubly periodic orbit of the family alpha of the Copenhagen category (mass ratio equals 0.50).
Bozis George
Christides Th.
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