About the problem of motion of N gyrostats. I - The first integrals

Details About the problem of motion of N gyrostats. I - The first integrals About the problem of motion of N gyrostats. I - The first integrals

Jun 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..36..155c&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 36, June 1985, p. 155-162.

Physics

8

Classical Mechanics, Equations Of Motion, Gyroscopes, Integral Equations, Jacobi Integral, Angular Momentum, Existence Theorems, Hamiltonian Functions, Kinetic Energy, Rigid Structures

Scientific paper

The Hamiltonian of the problem of motion of n gyrostats in a central field having relative momenta (k = 1, 2, ..., n) is obtained. The conditions for the existence of the Jacobi integral are established, and the results are discussed. It is shown that the obtained integrals are the same as those for rigid bodies when the conditions for the Jacobi integral are satisfied and some specific constants are annulled.

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