Abstract
The determination of the explicit form of vector constants of the motion for a point mass moving in an arbitrary spherically symmetric time-independent potential is reduced to the solution of an ordinary second-order linear differential equation. The vectors to be determined are assumed to be orthogonal to the angular momentum. The differential equation is solved for some particular fields of force and the corresponding vectors are constructed.
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Mitchell, T.P. Vector constants of the motion in spherically symmetric fields of force. Celestial Mechanics 17, 259–265 (1978). https://doi.org/10.1007/BF01232831
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DOI: https://doi.org/10.1007/BF01232831