Evaluation of the spherical harmonic coefficients for the external potential of a polyhedral body with linearly varying density

DOI10.1007/S10569-019-9885-5zbMath1448.70044OpenAlexW2913064334WikidataQ128452299 ScholiaQ128452299MaRDI QIDQ2005594

Shaofeng Bian, Cheng Chen, Yongbing Chen

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1007/s10569-019-9885-5

zbMATH Keywords

stabilitypolyhedronspherical harmonicsnormalizationgravitational potential

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99)

Cites Work

• Unnamed Item
• The exact transformation from spherical harmonic to ellipsoidal harmonic coefficients for gravitational field modeling
• Determination of the potential of homogeneous polyhedral bodies using line integrals
• A fast and stable method for rotating spherical harmonic expansions
• 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
• Gravity effects of polyhedral bodies with linearly varying density
• Recursive Computation of Spherical Harmonic Rotation Coefficients of Large Degree
• Numerische Methoden
• On the computation of the spherical harmonic terms needed during the numerical integration of the orbital motion of an artificial satellite

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