Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011dda....42.0201m&link_type=abstract
American Astronomical Society, DDA meeting #42, #2.01; Bulletin of the American Astronomical Society, Vol. 43, 2011
Astronomy and Astrophysics
Astronomy
Scientific paper
We examine the planar problem of an ellipsoidal secondary orbiting a spherical or oblate primary, while also including the coupled attitude dynamics of the secondary body. Given a total energy and angular momentum of the system, the problem can be reduced to 2 degrees-of-freedom. We examine the dynamical structure of this problem. Initially, we define zero velocity curves which place hard limits on the allowable variation in the orbit and attitude states. Specifically, the zero velocity curves are used to show if a given energy and angular momentum of a system will allow for the secondary to enter a circulating state or be confined to a librational attitude motion. Further exploration of the system dynamics reveals a deeper structure that can keep the secondary locked in a librational state even if the zero velocity curves are open to allow for circulation of the secondary. We show which initial conditions of the system will cause the secondary to circulate, and conversely which initial conditions will keep the secondary in a librational state for given energy and angular momentum.
This knowledge of the coupled orbit and attitude dynamics is applied to the evolution of a binary asteroid system under BYORP. Using the binary asteroid system 1999 KW4 as a basis, we illustrate the limits on the dynamical state. We map how these limits change as the system energy and angular momentum are changed in a manner consistent with the BYORP effect. We predict how effective BYORP evolution will be based on the libration amplitude limits. Finally, we predict if and when the secondary can begin circulating, which will stop BYORP evolution.
McMahon Jay W.
Scheeres Daniel J.
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