Periodic motion around stable collinear equilibrium point in the photogravitational restricted problem of three bodies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Lagrangian Equilibrium Points, Orbital Mechanics, Three Body Problem, Equations Of Motion, Gravitational Effects, Orbit Calculation

Scientific paper

In a binary system with both bodies being luminous, the inner collinear equilibrium point L1 becomes stable for values of the mass ratio and radiation pressure parameters in a certain region. The kind of periodic motions around L1 is examined in this case. Second-order parametric expansions are given and the families of periodic orbits generated from L1 are numerically determined for several sets of values of the parameters. Short- and long-period solutions are identified showing a similarity in the character of periodicity with that around L4. It is also found that the finite periodic solutions in the vicinity of L1 are stable.

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