Poynting-Robertson drag and orbital resonance

Statistics – Computation

Scientific paper

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Asteroids, Jupiter (Planet), Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Poynting-Robertson Effect, Solar System, Three Body Problem, Drag, Gravitational Effects, Resonance

Scientific paper

Both the Poynting-Robertson drag and resonant orbits appear to be very important for the motion of small grains in the early solar system. While orbital resonances are very often stable and tend to force bodies into noncircular orbits, the Poynting-Robertson drag produces secular variations in the semimajor axis and tends to circularize the orbits. This paper presents a numerical study of the competition between the Poynting-Robertson drag and the gravitational interaction of grains with Jupiter near the 2/1 resonance. Computations are based on the plane-restricted problem. Numerical investigations show that the grains always cross the resonance region without any oscillation, except in the special case where the grains were initially inside the resonance. In both cases the variations of the osculating elements exhibit a drastic step, which can be explained by Greenberg's and Schubart's theories.

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