Effects of the orbital eccentricity on the equipotential surfaces in binary systems

Statistics – Computation

Scientific paper

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Binary Stars, Computational Astrophysics, Eccentricity, Equipotentials, Orbital Mechanics, Three Body Problem, Coordinates, Differential Equations, Equations Of Motion, Jacobi Integral, Lagrangian Equilibrium Points

Scientific paper

In the frame of the elliptical restricted three-body problem, the
differential equations for the motion of an infinitesimal body are
established. In spite of the lack of Jacobi's integral, for fixed values
of the true anomaly, particular results were obtained. The pulsational
character of the equipotential surfaces is evident.

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