Kepler equation and accelerated Newton method

DOI10.1016/S0377-0427(01)00369-7zbMath0998.65054WikidataQ61893611 ScholiaQ61893611MaRDI QIDQ5957936

Manuel Palacios

Publication date: 15 November 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergence accelerationNewton methodalgebraic nonlinear equationsKepler equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (14)

Optimal starters for solving the elliptic Kepler's equation ⋮ Robust resolution of Kepler's equation in all eccentricity regimes ⋮ An efficient fifth order method for solving systems of nonlinear equations ⋮ Increasing the order of convergence for iterative methods to solve nonlinear systems ⋮ A new class of methods with higher order of convergence for solving systems of nonlinear equations ⋮ Dynamic discretization method for solving Kepler's equation ⋮ New techniques to develop higher order iterative methods for systems of nonlinear equations ⋮ Third-order methods from quadrature formulae for solving systems of nonlinear equations. ⋮ An analysis of the convergence of Newton iterations for solving elliptic Kepler's equation ⋮ On some efficient techniques for solving systems of nonlinear equations ⋮ A simple and efficient method with high order convergence for solving systems of nonlinear equations ⋮ Fast switch and spline scheme for accurate inversion of nonlinear functions: the new first choice solution to Kepler's equation ⋮ Solving Kepler's equation via Smale's \(\alpha\)-theory ⋮ Unnamed Item

Uses Software

• Mathematica

Cites Work

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• A general algorithm for the solution of Kepler's equation for elliptic orbits
• The solution of Kepler's equation, I
• The solution of Kepler's equation, III
• Accelerated Convergence in Newton’s Method
• Accelerated Convergence in Newton’s Method

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