Homogeneous polynomial integrals of motion
- 1 June 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (8) , L411-L413
- https://doi.org/10.1088/0305-4470/17/8/003
Abstract
It is shown that if a classical system has an integral motion which is a homogeneous polynomial in the velocities then it is also a polynomial in the position variables. The case of two degrees of freedom is investigated more closely and it is shown that the only systems which have such integrals are those with familiar momentum integrals.Keywords
This publication has 4 references indexed in Scilit:
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- Integrals of motion and analytic functionsJournal of Physics A: General Physics, 1984
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