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Binaries

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Shapes and Dynamics of Granular Minor Planets

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Abstract

Equilibria of rubble-pile binaries were investigated in Chap. 6. We now probe their stability employing the framework developed in Chap. 7.

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Notes

  1. 1.

    “Full” indicates that the mass distribution of each body is taken into account.

  2. 2.

    Perturbations that alter \({\mathbf {H}}_{rel}\) will cause an abrupt change in \(\varvec{\upomega }\) from its equilibrium value. This was confirmed in detail in Sect. 8.3.1. We recall from Sect. 7.2.1 that systems with such a jump are found to be trivially unstable by our analysis.

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Authors and Affiliations

  1. Mechanics and Applied Mathematics Group, Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    Ishan Sharma

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  1. Ishan Sharma
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Correspondence to Ishan Sharma .

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© 2017 Springer International Publishing Switzerland

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Sharma, I. (2017). Binaries. 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_10

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