Mutual potential of homogeneous polyhedra

DOI10.1007/s10569-004-4621-0zbMath1151.70312OpenAlexW1997849191MaRDI QIDQ815671

Daniel J. Scheeres, Robert A. Werner

Publication date: 20 February 2006

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/42570

zbMATH Keywords

mutual potentialinertia integralpolyhedron potentialtwo rigid bodies problem

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15)

Related Items (16)

Foundations of volume integral methods for eddy current problems ⋮ Simulation of the full two rigid body problem using polyhedral mutual potential and potential derivatives approach ⋮ Ellipsoids, material points and material segments ⋮ Mutual potential between two rigid bodies with arbitrary shapes and mass distributions ⋮ Lie group variational integrators for the full body problem in orbital mechanics ⋮ Mutual gravitational potential, force, and torque of a homogeneous polyhedron and an extended body: an application to binary asteroids ⋮ Figure-figure interaction between bodies having arbitrary shapes and mass distributions: a power series expansion approach ⋮ Generating function of the inertial integrals for small celestial bodies ⋮ Accelerating binary asteroid system propagation via nested interpolation method ⋮ The two-body interaction potential in the STF tensor formalism: an application to binary asteroids ⋮ Mutual gravitational potential and torque of solid bodies via inertia integrals ⋮ Extended two-body problem for rotating rigid bodies ⋮ Vector potentials for the gravitational interaction of extended bodies and laminas with analytical solutions for two disks ⋮ A finite element method for computational full two-body problem. I: The mutual potential and derivatives over bilinear tetrahedron elements ⋮ The two rigid body interaction using angular momentum theory formulae ⋮ The planar two-body problem for spheroids and disks

Cites Work

• Reduction, relative equilibria and potential in the two rigid bodies problem
• On the use of STF-tensors in celestial mechanics
• An expansion in power series of mutual potential for gravitating bodies with finite sizes
• Mutual gravitational potential ofN solid bodies
• Algorithm 706: DCUTRI: an algorithm for adaptive cubature over a collection of triangles

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