Stability of Triangular Equilibrium Points for the Elliptic Restricted Three-Body Problem with Drag
Abstract
In this paper we generalize Rein's model for the elliptic restricted threebody problem (ER3BP) by taking into account drag. We determine the equations of motion, the stationary points and we study the linear stability of motion in the sense of Lyapunov around L4 as a function of the mass parameter and the eccentricity of primaries. Applications to the Earth-Moon system are also presented, with trajectories computed around the L4 equilibrium point.
- Publication:
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Romanian Astronomical Journal
- Pub Date:
- October 2017
- Bibcode:
- 2017RoAJ...27...13B
- Keywords:
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- elliptical restricted three-body problem;
- Rein's averaged method;
- drag force