On the collinear liberation points in the photo-gravitational three-body problem

Details On the collinear liberation points in the photo-gravitational three-body problem On the collinear liberation points in the photo-gravitational three-body problem

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..35..105k&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 35, Feb. 1985, p. 105-112.

Astronomy and Astrophysics

Astronomy

15

Celestial Mechanics, Libration, Radiation Pressure, Stellar Gravitation, Stellar Motions, Three Body Problem, Astrodynamics, Inequalities, Stability

Scientific paper

The existence of the three-parametric family of the collinear libration points in the photo-gravitational three-body problem (differing from the classical one by the addition to the gravitational field the light repulsion force-field) is proved. The number and situation of these points are determined with respect to the system parameters. Their stability to a first approximation is investigated. It is shown that contrary to the classical problem the internal collinear libration points may be stable in some domain of parameter-space.

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