Padé Approximation to the Solution of the Elliptical Kepler Equation

@article{Alshaery2019PadAT,
  title={Pad{\'e} Approximation to the Solution of the Elliptical Kepler Equation},
  author={Aisha Abdu Alshaery and Asrar Alsulami},
  journal={International Journal of Applied Physics and Mathematics},
  year={2019}
}
In orbital mechanics, the elliptical Kepler equation is a basic nonlinear equation which determines the eccentric anomaly of a planet orbiting the Sun. In this paper, Kepler’s equation has been solved by means of Maclaurin expansion without any need to decompose the involved nonlinearity as in Adomian’s method and the differential transformation method. The obtained approximate solutions are compared with a famous solution to this equation in terms of Bessel function solution. The results… 

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