The convergence of Newton-Raphson iteration with Kepler's equation
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Publication:1285974
DOI10.1023/A:1008200607490zbMath0947.70003OpenAlexW1651774721MaRDI QIDQ1285974
Publication date: 2 November 2000
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1008200607490
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical computation of solutions to single equations (65H05) Two-body problems (70F05)
Related Items (4)
Chebyshev expansion on intervals with branch points with application to the root of Kepler's equation: A Chebyshev-Hermite-Padé method ⋮ Rootfinding for a transcendental equation without a first guess: polynomialization of Kepler's equation through Chebyshev polynomial expansion of the sine ⋮ An analysis of the convergence of Newton iterations for solving elliptic Kepler's equation ⋮ Fast switch and spline scheme for accurate inversion of nonlinear functions: the new first choice solution to Kepler's equation
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