Publication Abstracts

Contopoulos 1966

Contopoulos, G., 1966: Adiabatic invariants and the "third" integral. J. Math. Phys., 7, 788, doi:10.1063/1.1931208.

In a general case of Hamiltonian systems of n degrees of freedom, depending periodically ontime, n formal "third" integrals of motion are found. Their application in finding boundaries for theorbits is illustrated in a special case. Then a comparison is made between these integrals and theadiabatic invariants. Both are series expansions but the small parameter used is of different characterin each case. This is shown explicitly in a simple example and the relative accuracy of the twoexpansions is discussed.

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BibTeX Citation

@article{co06200v,
  author={Contopoulos, G.},
  title={Adiabatic invariants and the "third" integral},
  year={1966},
  journal={J. Math. Phys.},
  volume={7},
  pages={788},
  doi={10.1063/1.1931208},
}

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RIS Citation

TY  - JOUR
ID  - co06200v
AU  - Contopoulos, G.
PY  - 1966
TI  - Adiabatic invariants and the "third" integral
JA  - J. Math. Phys.
VL  - 7
SP  - 788
DO  - 10.1063/1.1931208
ER  -

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