Kepler's celestial two-body equation: a second attempt to establish a continuous and integrable solution via the BPES: Boubaker Polynomials Expansion Scheme

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Celestial Mechanics, Two Body Problem, Kepler Problem, Boubaker Polynomials Expansion Scheme, Elliptic Orbit

Scientific paper

In this study, Kepler’s celestial two-body problem is discussed in
the elliptic case. An original polynomial expansion algorithm is
proposed for establishing continuous C ∞ solutions.

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