Averaged rotational dynamics of an asteroid in tumbling rotation under the YORP torque |
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| Authors: | S Cicalò D J Scheeres |
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| Institution: | 1.Department of Mathematics,University of Pisa,Pisa,Italy;2.Department of Aerospace Engineering Sciences, Colorado Center for Astrodynamics Research,The University of Colorado at Boulder,Boulder,USA |
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| Abstract: | The secular effect of YORP torque on the rotational dynamics of an asteroid in non-principal axis rotation is studied. The
general rotational equations of motion are derived and approximated with an illumination function expanded up to second order.
The resulting equations of motion can be averaged over the fast rotation angles to yield secular equations for the angular
momentum, dynamic inertia and obliquity. We study the properties of these secular equations and compare results to previous
research. Finally, an application to several real asteroid shapes is made, in particular we study the predicted rotational
dynamics of the asteroid Toutatis, which is known to be in a non-principal axis state. |
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