Periodic motion around the triangular equilibrium points of the photogravitational restricted problem of three bodies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Lagrangian Equilibrium Points, Orbital Mechanics, Radiation Pressure, Three Body Problem, Approximation, Differential Equations, Gravitational Effects, Orbital Resonances (Celestial Mechanics)

Scientific paper

In this article, the effect of radiation pressure on the periodic motion of small particles in the vicinity of the triangular equilibrium points of the restricted three-body problem is examined. Second-order parametric expansions are constructed and the families of periodic orbits are determined numerically for two sets of values of the mass and radiation parameters corresponding to the nonresonant and the resonant case. The stability of each orbit is also studied.

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