Exponentially-fitted and trigonometrically-fitted methods for long-term integration of orbital problems

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

An explicit symmetric six-step method is presented in this paper. The
new method is exponentially-fitted and trigonometrically-fitted and is
of algebraic order six. Numerical results from the application to well
known periodic orbital problems show the efficiency of the new method.

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