Abstract
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 oppositly to the classical problem the internal collinear libration-points may be stable in some domain of parameter-space.
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References
Douboshin, Y.N.: 1978,Celestial Mechanics. Analytic and Qualitative Methods, Nauka, Moscow.
Mozer, J.K.: 1968,Lectures on Hamiltonian Systems New York.
Ogorodnikov, K.F.: 1958,The Stellar Dynamics System, GIFML, Moscow.
Radzievsky, V.V.: 1950, ‘The Restricted Three-Body Problem with a Radiation Pressure,’Astron. J.,27, 249–256.
Schuerman, D.W.: 1980, ‘The Restricted Three-Body Problem Including Radiation Pressure,’Astrophys. J. 238, No. 1, 337–342.
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Kunitsyn, A.L., Tureshbaev, A.T. On the collinear libration points in the photo-gravitational three-body problem. Celestial Mechanics 35, 105–112 (1985). https://doi.org/10.1007/BF01227664
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DOI: https://doi.org/10.1007/BF01227664