Journal ArticleDOI
The restricted photogravitational three-body problem: A modern state
A. L. Kunitsyn,E. N. Polyakhova +1 more
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In this paper, a modern state of the three-body problem is discussed, where an infinitesimal mass is effected not only by gravitation but also by light pressure from one (or both) of the primaries.Abstract:
We discuss a modern state of the three-body problem when an infinitesimal mass is effected not only by gravitation but also by light pressure from one (or both) of the primaries. This problem, called the photogravitational one, attracted much attention during the last ten years. Many aspects of the libration point locations and their stability for all values of radiation pressure and mass ratios are shown and discussed. A retrospective chronological review of the results is given.read more
Citations
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Earth, Moon and Planets
TL;DR: The Earth, Moon and Planets by Fred L. Whipple as discussed by the authors provides up-to-date information about the bodies in the solar system, and as it is written in language which is almost entirely free from technicalities, it will appeal to a wide circle of readers.
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Collinear equilibrium points of Hill’s problem with radiation and oblateness and their fractal basins of attraction
TL;DR: In this paper, the existence, location, and stability of the collinear equilibrium points of a generalized hill problem with radiation of the primary (the Sun) and oblateness of the secondary (the planet) were discussed.
Journal ArticleDOI
On the triangular libration points in photogravitational restricted three-body problem with variable mass
TL;DR: In this paper, the authors investigated the triangular libration points in the photogravitational restricted three-body problem of variable mass, in which both the attracting bodies are radiating as well and the infinitesimal body vary its mass with time according to Jeans' law.
Journal ArticleDOI
Parametric evolution of periodic orbits in the restricted four-body problem with radiation pressure
TL;DR: In this article, the photogravitational version of the rectilinear restricted four-body problem is investigated and the effect of radiation on the distribution of the periodic orbits, their stability, as well as the evolution of the families and their main features.
Journal ArticleDOI
The planar restricted three-body problem when both primaries are triaxial rigid bodies: Equilibrium points and periodic orbits
TL;DR: In this article, the restricted three-body problem with triaxial rigid bodies is considered and its basic dynamical features are studied and the equilibrium points are identified as well as their stability is determined in the special case when the Euler angles of rotational motion are accordingly
References
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Journal ArticleDOI
Dynamical Effects of Radiation in the Solar System
H. P. Robertson,H. N. Russell +1 more
Journal ArticleDOI
Earth, Moon and Planets
TL;DR: The Earth, Moon and Planets by Fred L. Whipple as discussed by the authors provides up-to-date information about the bodies in the solar system, and as it is written in language which is almost entirely free from technicalities, it will appeal to a wide circle of readers.
Journal ArticleDOI
The restricted 3-body problem with radiation pressure
TL;DR: In this paper, the effects of an inverse square distance radiation pressure force on the infinitesimal mass due to the large masses, which are both arbitrarily luminous, were considered.
Journal ArticleDOI
The restricted three-body problem including radiation pressure
TL;DR: In this article, the Poynting-Robertson effect was introduced to render the Lagrangian points unstable on a time scale that is long compared to the period of rotation of the two massive bodies.
Journal ArticleDOI
The linear stability of libration points of the photogravitational restricted three-body problem when the smaller primary is an oblate spheroid
TL;DR: In this article, the authors considered the stationary solutions of the planar restricted three-body problem when the more massive primary is a source of radiation and the smaller primary is an oblate spheroid with its equatorial plane coincident with the plane of motion.