The gravitational field of a disk

DOI10.1007/BF01230419zbMath0486.70006OpenAlexW2012088733MaRDI QIDQ3947189

William V. Snyder, Fred T. Krogh, Edward W. Ng

Publication date: 1982

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230419

zbMATH Keywords

computational approachesapproximations for special casesderivations for attractionsgravitational potential of circular disk

Mathematics Subject Classification ID

Celestial mechanics (70F15) Statics (70C20) Elliptic functions and integrals (33E05)

Related Items (7)

Numerical analysis of periodic solutions and bifurcations in the planetary annulus problem ⋮ Dynamics of a particle under the gravitational potential of a massive annulus: properties and equilibrium description ⋮ On the electrostatic potential and electric field of a uniformly charged disk ⋮ Off-axis electric field due to cylindrical geometries of charge distribution ⋮ Computation of families of periodic orbits and bifurcations around a massive annulus ⋮ Fast computation of complete elliptic integrals and Jacobian elliptic functions ⋮ Precise computation of acceleration due to uniform ring or disk

Uses Software

• algorithm 577
• FUNPACK

Cites Work

• Unnamed Item
• Computing elliptic integrals by duplication
• An improved calculation of the general elliptic integral of the second kind in the neighbourhood of x = 0
• Numerical calculation of elliptic integrals and elliptic functions
• Algorithm 577: Algorithms for Incomplete Elliptic Integrals [S21]
• The FUNPACK Package of Special Function Subroutines
• The gravitational potential due to uniform disks and rings
• On Computing Elliptic Integrals and Functions

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