Fast switch and spline scheme for accurate inversion of nonlinear functions: the new first choice solution to Kepler's equation

DOI10.1016/j.amc.2019.124677zbMath1433.65108arXiv1812.02273OpenAlexW2902343554WikidataQ127312203 ScholiaQ127312203MaRDI QIDQ2284079

Daniele Tommasini, David N. Olivieri

Publication date: 14 January 2020

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

Full work available at URL: https://arxiv.org/abs/1812.02273

zbMATH Keywords

Newton-Raphson iteration methodLambert \(W\) functionastrodynamicscubic spline interpolationalgorithm for inverse functionKepler equation for orbital motion

Mathematics Subject Classification ID

Numerical solution to inverse problems in abstract spaces (65J22)

Uses Software

• SplinePak
• BRENT

Cites Work

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