Gravity effects of polyhedral bodies with linearly varying density

DOI10.1007/s10569-014-9578-zzbMath1308.70016OpenAlexW2078038471MaRDI QIDQ2338965

M. G. D'Urso

Publication date: 27 March 2015

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

Full work available at URL: https://doi.org/10.1007/s10569-014-9578-z

zbMATH Keywords

singularitiespolyhedragradientgravitational potentialeros

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Celestial mechanics (70F15)

Related Items

Analytical solution of the Cerruti problem under linearly distributed horizontal loads over polygonal domains ⋮ Mascon distribution techniques for asteroids and comets ⋮ Numerical solution of a boundary value problem with effective boundary conditions for calculation of gravity ⋮ A general approach to the solution of Boussinesq's problem for polynomial pressures acting over polygonal domains ⋮ Numerical solution of smooth and rough contact problems ⋮ Evaluation of the spherical harmonic coefficients for the external potential of a polyhedral body with linearly varying density ⋮ Analytical solution from vector potentials for the gravitational field of a general polyhedron

Uses Software

• Matlab

Cites Work

• Determination of the potential of homogeneous polyhedral bodies using line integrals
• A bilinear approximation of the surface relief in terrain correction computations
• The Newtonian potential of homogeneous polyhedra
• The gravitational potential of a homogeneous polyhedron or don't cut corners
• Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia
• The gravitational attraction of any polygonally shaped vertical prism with inclined top and bottom faces.
• The gravitational potential and its derivatives for the prism.
• Vertical stress distribution in isotropic half-spaces due to surface vertical loadings acting over polygonal domains