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   Articles with "kepler equation" as a keyword



On the integral solution of hyperbolic Kepler’s equation

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recommendations! Published in 2024 at "Celestial Mechanics and Dynamical Astronomy"

DOI: 10.1007/s10569-024-10184-5

Abstract: In a recent paper of Philcox, Goodman and Slepian, the solution of the elliptic Kepler’s equation is given as a quotient of two contour integrals along a Jordan curve that contains in its interior the… read more here.

Keywords: kepler; kepler equation; integral solution; hyperbolic kepler ... See more keywords
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An Efficient Iterative Method for Solving the Elliptical Kepler’s Equation

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recommendations! Published in 2021 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-021-00984-w

Abstract: In this paper, a numerical technique, based on Banach’s fixed point theorem, is proposed to obtain an approximate solution of the elliptical Kepler equation which is often used to describe the motion of a planet… read more here.

Keywords: efficient iterative; elliptical kepler; kepler equation; method ... See more keywords

A new analytical solution of the hyperbolic Kepler equation using the Adomian decomposition method

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recommendations! Published in 2017 at "Acta Astronautica"

DOI: 10.1016/j.actaastro.2017.05.006

Abstract: Abstract In this paper, the Adomian decomposition method (ADM) is proposed to solve the hyperbolic Kepler equation which is often used to describe the eccentric anomaly of a comet of extrasolar origin in its hyperbolic… read more here.

Keywords: equation; adomian decomposition; hyperbolic kepler; kepler equation ... See more keywords

Solving post-Newtonian accurate Kepler Equation

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recommendations! Published in 2017 at "Physical Review D"

DOI: 10.1103/physrevd.96.044011

Abstract: We provide an elegant way of solving analytically the third post-Newtonian (3PN) accurate Kepler equation, associated with the 3PN-accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits. An additional analytic solution is presented to… read more here.

Keywords: post newtonian; kepler equation; accurate kepler;