Asteroid migration due to the Yarkovsky effect and the distribution of the Eos family

Abstract

Based on a linearized model of the Yarkovsky effect, we investigate in this paper the dependence of the semimajor axis drift $\Delta a$ of a celestial body on its size, spinning obliquity, initial orbit and thermal parameters on its surface. With appropriate simplification and approximation, we obtain the analytical solutions to the perturbation equations for the motion of asteroids influenced by the Yarkovsky effect, and they are then verified by numerical simulations of the full equations of motion. These solutions present explicitly the dependencies of $\Delta a$ on the thermal and dynamical parameters of the asteroid. With these analytical formulae for $\Delta a$, we investigate the combined seasonal and diurnal Yarkovsky effects. The critical points where the migration direction reverses are calculated and the consequent selective effects according to the size and rotation state of asteroids are discussed. %Solely the Yarkovsky effect is found to be able to produce some ring structure in the aged circumstellar debris disk. Finally, we apply the analytical formulae to calculate the migration of Eos family members. The space distribution of asteroids is well reproduced. Our calculations suggest that statistically the orientations of spin axes of family members satisfy a random-obliquity distribution, and the rotation rate ${\omega }_{\mathrm{rot}}$ of asteroid depends on its size $R$ by ${\omega }_{\mathrm{rot}}\propto R^{-1}$.

arXiv comment15 pages, 7 figures

References in corpus (9)

• Asteroid families classification: exploiting very large data sets
• Asteroid family ages
• Thermophysical modeling of main-belt asteroids from WISE thermal data
• The Eos family halo
• Spin states of asteroids in the Eos collisional family
• Orbital Stability of Earth Trojans
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• Discovery of a young subfamily of the (221)~Eos asteroid family
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• Transit of asteroids across the 7/3 Kirkwood gap under the Yarkovsky effect
• The diurnal Yarkovsky effect of irregularly shaped asteroids
• Trojan asteroids and co-orbital dust ring of Venus
• Shape index of Yarkovsky effect on irregularly shaped asteroids
• The orbital evolution of Atira asteroids
• Positive YORP effect induced by lateral heat conduction in a crater