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KIAM Preprint  94, Moscow, 2018
Authors: Guo Peng, Ivashkin V. V.
Methods for calculating the gravitational potential of a homogeneous triaxial ellipsoid and their application to the analysis of asteroids satellite dynamics
Abstract:
For the study of the asteroids satellite dynamics, the problem of calculating the exterior gravitational potential and the attraction of an asteroid approximated by a homogeneous triaxial ellipsoid is considered. Three algorithms for calculating the gravitational potential of an ellipsoid are constructed. It is, firstly, an algorithm for approximate determination of the potential using its usual expansion in a series of spherical functions with harmonics up to 4th order inclusive. The other two ones determine the potential using the Dirichlet formula containing elliptic integrals. One calculates these integrals numerically by quadrature formulas. Another, analytical one uses the expansions of integrals developed in the work into rapidly convergent series. The application of these algorithms to calculate the potential and the attraction force of the asteroid Apophis is considered
Keywords:
triaxial ellipsoid, gravitational potential, elliptic integral, asteroid Apophis
Publication language: russian,  pages: 32
Research direction:
Theoretical and applied problems of mechanics
Russian source text:
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About authors:
  • Guo Peng,  ,  . ..
  • Ivashkin Vyacheslav Vasilievich,  orcid.org/0000-0003-1884-1054KIAM RAS