An Efficient Iterative Method for Solving the Elliptical Kepler’s Equation
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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;