Orbital dynamics about a slowly rotating asteroid

Physics

Scientific paper

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Planetology: Comets And Small Bodies: Gravitational Fields, Planetology: Comets And Small Bodies: Orbital And Rotational Dynamics, Planetology: Solar System Objects: Asteroids And Meteoroids

Scientific paper

We analyze orbital stability of satellites (moonlet, spacecraft) near a slowly rotating axisymmetric asteroid. Using simple point mass models as a guide, we discover an unstable region near the equatorial plane of an indented asteroid. The existence of stable/unstable regions is confirmed numerically for a realistic ``peanut'' model asteroid. The stable region is found to survive small asteroidal rotation about an axis of maximum moment of inertia. A simple semi-empirical formula is found for the orbital tilt angle as a function of asteroid rotation speed. Implications for motion about realistic asteroids are discussed.

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