Computing derivatives of a gravity potential by using automatic differentiation

A New Normalization Form Based on a General Unified Normalization Computing for the Gravitational Potential Tensor of Arbitrary Orders

“…The gravitational potential and its derivatives are widely used in various aspects, such as Astrodynamics, Geodesy, Geophysics [1] and so forth. Lots of studies have been carried out for the evaluation of gravitational potential and its derivatives, and different methods with associated normalization factors were developed [2][3][4][5][6][7][8][9][10].…”