Abstract
In this chapter we study the dynamics of a freely rotating rubble asteroid employing volume-averaged equations developed in Chap. 3. Our mainly analytical approach provides an alternative to more computationally intensive paradigms, e.g., discrete element simulations, with which we compare our predictions. These results have implications on rotation-driven disruption of rubble-piles, as well as, re-aggregation processes.
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- 1.
Simple, at least when compared with the non-linear partial differential equations governing elasto-plasto-dynamics!.
- 2.
It is unclear when, and under what conditions, does the angle of repose equal the results of triaxial or shear-box tests, although simplified analyses predict that they will be closely related; see, e.g., Nedderman (1992, Sect. 3.5).
- 3.
Hard spheres rolling without slipping on a plane come to a stop in spite of rigid body mechanics predicting eternal motion. This is attributed to the hard sphere deforming locally around the contact point leading to contact over a region. Microslipping and asymmetric pressure distribution within the contact region then lead to the sphere experiencing a net retarding force and a macroscopic torque about its mass center that make it stop. This is called rolling resistance; see, e.g., Johnson (1985, p. 306) for more details.
- 4.
A general planar flyby of a granular asteroid is explored in Chap. 12.
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Sharma, I. (2017). Formation. In: Shapes and Dynamics of Granular Minor Planets. Advances in Geophysical and Environmental Mechanics and Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-40490-5_11
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