Non integrability of the truncated zonal satellite Hamiltonian at any order

Details Non integrability of the truncated zonal satellite Hamiltonian at any order Non integrability of the truncated zonal satellite Hamiltonian at any order

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phla..221..153f&link_type=abstract

Physics Letters A, v. 221, p. 153-157.

Physics

4

Scientific paper

We aim to prove that any truncation of the zonal satellite problem, for
which only a finite number of harmonics is considered, is not completely
integrable in the Liouville sense, that is, it does not have three
global integrals in involution, if these integrals are required to be
meromorphic.

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