Allocation of Angular Momentum Changes Accompanying Lofting Particle Motion in Binary Asteroid Systems

Astronomy and Astrophysics – Astronomy

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Scientific paper

Recently we presented a mechanism for simultaneous regulation of primary spin at near-critical rates and continued mutual orbit expansion evolution in members of the largest class of binary asteroid systems, typified by 1999 KW4. This mechanism involves YORP angular acceleration of the primary causing ``lofting" of loose material on its equatorial region. Here I present more detailed study of how angular momenta of the primary, secondary, and mutual orbit are altered in response to lofted particles' flight. At question is whether the counterposing response to alteration of particle barycentric angular momentum during flight through gravitational interaction is primarily allocated back into primary spin or into the mutual orbit, and how that allocation varies with the system's orbit size (changing over time). I present results of a simple experiment involving three cases: 1) as a baseline, full two body problem (F2BP) propagation of the binary with no lofted particle; 2) F2BP propagation of the binary before, during, and after flight of a particle, plus restricted full three body problem (RF3BP) propagation of the particle during flight, accounting for changes to system states upon lofting and re-collision; 3) F2BP propagation, then full three body problem (F3BP) propagation, then F2BP propagation, again accounting for the same lofting and re-impact state changes. The key difference between cases 2 and 3 is inclusion of gravitational influence of the particle on the primary and secondary in addition to the reverse. Fluctuations in differential changes in angular momenta for cases 2 and 3 relative to case 1 are 3 orders of magnitude larger for the primary and orbit angular momentum magnitudes than for the secondary's, and grow significantly less negative for the primary and less positive for the orbit in case 3 versus case 2. This has significant implications for the fidelity of the proposed evolution mechanism.

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