A method solving Kepler's equation without transcendental function evaluations

DOI10.1007/BF00049384zbMath0889.70002WikidataQ61893624 ScholiaQ61893624MaRDI QIDQ1371382

Toshio Fukushima

Publication date: 18 June 1998

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

zbMATH Keywords

discretizationNewton-Raphson methodTaylor series expansionelliptic caseIntel Pentium processor

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical computation of solutions to single equations (65H05) Celestial mechanics (70F15)

Related Items (9)

Optimal starters for solving the elliptic Kepler's equation ⋮ Dynamic discretization method for solving Kepler's equation ⋮ A functionally-fitted block hybrid Falkner method for Kepler equations and related problems ⋮ Nonlinear function inversion using \(k\)-vector ⋮ On the integral solution of elliptic Kepler's equation ⋮ Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic ⋮ Sequential solution to Kepler's equation ⋮ Solving Kepler's equation using Bézier curves ⋮ Fast switch and spline scheme for accurate inversion of nonlinear functions: the new first choice solution to Kepler's equation

Cites Work

• Solving Kepler's equation with high efficiency and accuracy
• Kepler equation solver
• Procedures for solving Kepler's equation

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