Precise computation of acceleration due to uniform ring or disk

DOI10.1007/S10569-010-9304-4zbMath1223.70040OpenAlexW2038672065MaRDI QIDQ642407

Toshio Fukushima

Publication date: 26 October 2011

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

Full work available at URL: https://doi.org/10.1007/s10569-010-9304-4

zbMATH Keywords

complete elliptic integralsattraction of a diskattraction of a ring

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items (15)

Dynamics of a particle under the gravitational potential of a massive annulus: properties and equilibrium description ⋮ Order and chaos near equilibrium points in the potential of rotating highly irregular-shaped celestial bodies ⋮ Orbital perturbations due to massive rings ⋮ On the electrostatic potential and electric field of a uniformly charged disk ⋮ Analytical solution of the field integrals of a cylindrical grid element ⋮ Equilibrium points and periodic orbits in the vicinity of asteroids with an application to 216 Kleopatra ⋮ Equilibria, periodic orbits around equilibria, and heteroclinic connections in the gravity field of a rotating homogeneous cube ⋮ Precise and fast computation of a general incomplete elliptic integral of third kind by half and double argument transformations ⋮ Computation of families of periodic orbits and bifurcations around a massive annulus ⋮ Fast computation of a general complete elliptic integral of third kind by half and double argument transformations ⋮ Periodic orbits in the gravity field of a fixed homogeneous cube ⋮ Series expansions of symmetric elliptic integrals ⋮ Bifurcations of relative equilibrium points during homotopy deformation of asteroids ⋮ Precise and fast computation of a general incomplete elliptic integral of second kind by half and double argument transformations ⋮ Dynamics of a point in the axisymmetric gravitational potential of a massive fixed ring and center

Uses Software

• Mathematica
• algorithm 577

Cites Work

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• Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic
• Fast computation of complete elliptic integrals and Jacobian elliptic functions
• Fast computation of incomplete elliptic integral of first kind by half argument transformation
• Computing elliptic integrals by duplication
• Numerical calculation of elliptic integrals and elliptic functions
• Numerical calculation of elliptic integrals and elliptic functions. III
• The dynamics of orbits in a potential field of a solid circular ring
• Off-axis electric field of a ring of charge
• Algorithm 577: Algorithms for Incomplete Elliptic Integrals [S21]
• The gravitational field of a disk
• The gravitational potential due to uniform disks and rings
• Chebyshev Polynomial Expansions of Complete Elliptic Integrals
• Chebyshev Approximations for the Complete Elliptic Integrals K and E

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