How many vector constants of motion exist for a particle moving in a central potential

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, , Citation A Holas and N H March 1994 J. Phys. A: Math. Gen. 27 2615 DOI 10.1088/0305-4470/27/7/036

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1 Inst. of Phys. Chem., Polish Acad. of Sci., Warsaw, Poland

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Abstract

Yan (1991 J.Phys. A: Math. Gen. 24 4731) has drawn the conclusion that, for central fields, there exists another vector constant of motion T, in addition to the angular momentum L. It is proved here that T is in fact only equal to zero 'almost everywhere'; T is not, therefore, rigorously a constant of motion.

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