A monotonic starter for solving the hyperbolic Kepler equation by Newton's method

DOI10.1007/S10569-019-9894-4zbMath1451.70010OpenAlexW2942345822WikidataQ127963834 ScholiaQ127963834MaRDI QIDQ2005614

Luis Rández, Antonio Elipe, Manuel Calvo, Juan I. Montijano

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/s10569-019-9894-4

zbMATH Keywords

hyperbolic Kepler's equationoptimal starters\(q\)-convergence

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Two-body problems (70F05)

Related Items (1)

An efficient iterative method for solving the elliptical Kepler's equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Expanding the applicability of Newton's method using Smale's \(\alpha\)-theory
• An analysis of the convergence of Newton iterations for solving elliptic Kepler's equation
• Solving Kepler's equation via Smale's \(\alpha\)-theory
• Bounds on the solution to Kepler's equation. II: Universal and optimal starting points
• A method solving Kepler's equation for hyperbolic case
• Convergence of starters for solving Kepler's equation via Smale's \(\alpha \)-test
• Bounds on the solution to Kepler's equation
• A cubic approximation for Kepler's equation
• The hyperbolic Kepler equation (and the elliptic equation revisited)
• Convergence of Newton’s method and inverse function theorem in Banach space
• Approximate solutions of the hyperbolic Kepler equation

This page was built for publication: A monotonic starter for solving the hyperbolic Kepler equation by Newton's method