Computer Science – Performance
Scientific paper
May 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010dda....41.0304m&link_type=abstract
American Astronomical Society, DDA meeting #41, #3.04; Bulletin of the American Astronomical Society, Vol. 41, p.927
Computer Science
Performance
Scientific paper
The authors have previously presented a detailed theory for the BYORP effect. The original work assumed that the secondary asteroid was locked in a purely synchronous rotation state, however it is well known that many secondary bodies librate as well. This talk explores how libration can be accounted for in the current model. This problem is explored in several different steps by making certain assumptions about the libration. In all cases, we assume that the libration is about the original spin axis only (in the orbit plane). First, we explore what happens if the frequency of the libration is the same as the orbit frequency. In this case, the secondary is simply in a different type of synchronous motion, and the theory can be applied with few changes. Next, we assume that the librational motion can be averaged out separately from the orbital motion. This allows secular equations of the same form to result for the orbital elements, however the effectiveness of the BYORP effect is reduced depending on the libration. Similarly, if a librational motion is assumed, the force felt by the asteroid at each point in its orbit can be numerically averaged and new Fourier coefficients can be produced based on this averaging. It is shown that unless there are very large librations, most of the Fourier coefficients will change very little. Finally, we present numerical results which show the performance of these assumptions. The ultimate goal of this research is to account for the coupling between the rotational and orbital motion, and to write combined secular equations for both. These equations should account for not only the effect of the libration on the orbit variational equations, but should also model the changes in the libration amplitude as the orbit evolves.
McMahon Jay W.
Scheeres Daniel J.
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