Abstract
A recursive procedure is established to evaluate series in themth derivatives of Legendre polynomials. It is applied to evaluate a gravitational potential, the components of its gradient and the elements of its Hessian.
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Deprit, A. Note on the summation of Legendre series. Celestial Mechanics 20, 319–323 (1979). https://doi.org/10.1007/BF01230400
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DOI: https://doi.org/10.1007/BF01230400