The Dynamical Evolution Of Uniformly Rotating Asteroids Subject To Yorp

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

A detailed derivation is given of the effect of solar radiation on the rotational dynamics of asteroids, commonly called YORP. The current derivation goes beyond previous discussions published in the literature and provides a compact characterization of the effect of YORP by averaging over the rotating body and the asteroid orbit. Using this characterization we present a comprehensive dynamical analysis of the effect of solar radiation torques acting on a uniformly rotating body, and the evolution of its rotation state over time. Our predicted model has the global radiation properties of the asteroid as explicit parameters, and hence can be specified independent of these parameters. Based on our analysis we find that the rotation rate of near Earth asteroids should be subject to large accelerations and decelerations due to YORP, in agreement with previous studies. We analytically show that thermal inertia will have a minor effect on the rotational acceleration and deceleration of a rotating body. Our theory also predicts that asteroid obliquity should have relatively little evolution unless the body is despun to a very slow rotation rate. This is in contrast to previous studies of this effect which predict large changes in obliquity. With this detailed model, in conjunction with estimated asteroid shapes and poles, we compute the expected YORP torques and dynamic response of several asteroids. We also study the change in rotation rate for specific shapes as a function of obliquity.

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