Dynamics of binary asteroids. I - Hill's case

Physics

Scientific paper

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Asteroids, Natural Satellites, Orbital Mechanics, Planetary Systems, Solar Orbits, Two Body Problem, Hill Method, Orbital Elements, Solar System, Asteroids, Dynamics, Binary Systems, Stability, Celestial Mechanics, Motion, Solar Effects, Perturbations, Theoretical Studies, Satellites, Parameters, Calculations, Orbits, Diagrams, Numerical Methods, Trajectories, Gravity Effects, Distance

Scientific paper

The present investigation of the dynamics of hypothesized binary (or multiple) asteroids attempts to evaluate the likelihood of their dynamic stability, giving attention to the trajectories of Hill's (1977) problem (including only the gravitational perturbation of the sun) to define the effects of solar perturbations on the relative motion of a binary asteroid. Only for the cases of close binary asteroids, can the Jacobian constant be unambiguously related to the semimajor axis of a weakly disturbed Keplerian ellipse. A greater likelihood is found for a stable asteroid with retrograde orbit, in both the synodic and the inertial frames, that with direct orbit.

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