The Photo-Gravitational Restricted Four-Body Problem: An Exploration of Its Dynamical Properties

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Relativity And Gravitation, Celestial Mechanics

Scientific paper

We deal with the photo-gravitational version of the restricted four-body problem and we investigate the dynamical behaviour of a small particle, which is subjected both the gravitational attraction and the radiation pressure of three much bigger bodies, the primaries. These bodies are always in syzygy and two of them have equal masses and are located at equal distances from the central primary, which has a different mass. We study the effect of radiation on some dynamical characteristics of the system, such as the zero-velocity curves, the equilibrium positions and the periodic orbits.

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