A finite element method for computational full two-body problem: I. The mutual potential and derivatives over bilinear tetrahedron elements View Full Text


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Article Info

DATE

2019-10-31

AUTHORS

Yang Yu, Bin Cheng, Masatoshi Hayabayashi, Patrick Michel, Hexi Baoyin

ABSTRACT

A finite element method (FEM) for computing the gravitational interactions between two arbitrarily shaped celestial bodies is proposed. Expressions for the gravitational potential, attraction and torques are derived in terms of the finite element mesh division and mass density distribution. This method is implemented to a parallel-simulation package on a local cluster. Benchmarking tests are performed to confirm the convergence properties and to measure the computational costs. For a representative application, we construct the FEM model of the binary Near-Earth asteroid 65803 Didymos and simulate the coupled spin–orbit motion of its two components. The results show our method propagates the binary motion precisely, which is significantly dependent on the primary’s internal structure. In this numeric example, we show the finite element method is capable of modeling complex geometry and dissimilar material properties, which is useful to address questions in predicting the evolution of actual binary asteroids. More... »

PAGES

51

References to SciGraph publications

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  • 2019-02-27. Propagation and estimation of the dynamical behaviour of gravitationally interacting rigid bodies in ASTROPHYSICS AND SPACE SCIENCE
  • 1981-06. The mutual potential and gravitational torques of two bodies to fourth order in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2005-03. Mutual Potential of Homogeneous Polyhedra in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2013-07-13. A novel Quaternion integration approach for describing the behaviour of non-spherical particles in ACTA MECHANICA
  • 2016-09-26. Mutual potential between two rigid bodies with arbitrary shapes and mass distributions in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 2017-08-02. Mutual gravitational potential, force, and torque of a homogeneous polyhedron and an extended body: an application to binary asteroids in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1980-03. Transformations of spherical harmonics and applications to geodesy and satellite theory in STUDIA GEOPHYSICA ET GEODAETICA
  • 2013-08-23. Recursive computation of mutual potential between two polyhedra in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1971-12. Motion of a space station. I in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1988-03. An expansion in power series of mutual potential for gravitating bodies with finite sizes in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
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