Abstract
The surfaces of zero velocity of the restricted three-body problem when the more massive body is luminous, are studied. The properties of the function Ω which determines these surfaces are given. It is found that the topological properties of the zero velocity surfaces while not affected by the variation of the mass parameter, are essentially varied when the radiation pressure parameter changes values. Closed regions where the motion can be trapped are described while periodic motions about the “out of plane” equilibrium points seem to be probable.
Article PDF
Similar content being viewed by others
References
Chernikov, Yu. A.: 1970,Soviet Astron. — Astrophys. J. 14, No. 1.
Friedman, L. P.: 1976, inProceedings of the Shuttle-Based Cometary Science Workshop.
Kunitsyn, A. L. and Perezhogin, A. A.: 1978,Cel. Mech. 18, 395.
Kunitsyn, A. L. and Tureshbaev, A. T.: 1984,Cel. Mech. 35, 105.
Mignard, F.: 1984,Cel. Mech. 34, 275.
O'Neill, G. K.: 1974,Phys. Today 27, 32.
Perezhogin, A. A.: 1976,Astron. J. Letters 2, 448.
Radzievsky, V. V.: 1950,Astron. Zh. 27, 250.
Radzievsky, V. V.: 1953,Astron. Zh. 30, 265.
Schuerman, P. W.: 1980,Astrophys. J. 238, 337.
Siegel, C. L. and Moser, J. K.: 1971,Lectures on Celestial Mechanics, Julius Springer, Berlin and New York.
Simmons, J. F. L., McDonald, A. T. C, and Brown, J. C.: 1985,Cel. Mech. 35, 145.
Struve, O.: 1938,Ann. d'Ap. 1, 134.
Szebehely, V.: 1967,Theory of Orbits: the Restricted Problem of Three Bodies, Academic Press, New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ragos, O., Zagouras, C. The zero velocity surfaces in the photogravitational restricted three-body problem. Earth Moon Planet 41, 257–278 (1988). https://doi.org/10.1007/BF00113988
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00113988