The Newtonian potential of homogeneous polyhedra

DOI10.1007/BF01601950zbMath0421.70005MaRDI QIDQ1133343

Jörg Waldvogel

Publication date: 1979

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

gravitational forceNewtonian potential of homogeneous polyhedra

Mathematics Subject Classification ID

Statics (70C20)

Related Items (10)

Elastic and piezoelectric fields due to polyhedral inclusions ⋮ The gravitational potential of a homogeneous polyhedron or don't cut corners ⋮ Boundary integral equations for the computational modeling of three- dimensional groundwater flow problems ⋮ Mutual gravitational potential, force, and torque of a homogeneous polyhedron and an extended body: an application to binary asteroids ⋮ Strain gradient solution for the Eshelby-type polyhedral inclusion problem ⋮ Solution of the Eshelby-type anti-plane strain polygonal inclusion problem based on a simplified strain gradient elasticity theory ⋮ \texttt{ColDICE}: A parallel Vlasov-Poisson solver using moving adaptive simplicial tessellation ⋮ Gravity effects of polyhedral bodies with linearly varying density ⋮ Analytical solution from vector potentials for the gravitational field of a general polyhedron ⋮ Numerical correlation of material structure weaknesses in anisotropic polycrystalline materials.

Cites Work

• The Newtonian potential of a homogeneous cube
• Two applications of group characters to the solution of boundary-value problems

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