메뉴 건너뛰기




Volumn 80, Issue 2, 2001, Pages 145-156

Non-integrability of Hill's lunar problem

Author keywords

Hill's lunar problem; Non integrability

Indexed keywords


EID: 0043288990     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011946725249     Document Type: Article
Times cited : (17)

References (11)
  • 1
    • 0003318097 scopus 로고
    • Mathematical Aspects of Classical and Celestial Mechanics
    • V. Arnol'd (ed), Springer-Verlag, Berlin
    • Arnol'd, V. I., Kozlov, V. V. and Neishtadt, A. I.: 1988, 'Mathematical Aspects of Classical and Celestial Mechanics', in: V. Arnol'd (ed), Dynamical Systems III, Springer-Verlag, Berlin.
    • (1988) Dynamical Systems III
    • Arnol'd, V.I.1    Kozlov, V.V.2    Neishtadt, A.I.3
  • 3
    • 0002311236 scopus 로고
    • Researches in the Lunar theory
    • Hill, G. W.: 1878, 'Researches in the Lunar theory', Am. J. Math. 1, 5-26, 129-147, 245-260.
    • (1878) Am. J. Math. , vol.1 , pp. 5-26
    • Hill, G.W.1
  • 4
    • 0008151598 scopus 로고
    • A Criterion for non-integrability based on Poincaré's theorem
    • Meletlidou, E. and Ichtiaroglou, S.: 1994a, 'A Criterion for non-integrability based on Poincaré's theorem', Physica 71D, 261-268.
    • (1994) Physica , vol.71 D , pp. 261-268
    • Meletlidou, E.1    Ichtiaroglou, S.2
  • 5
    • 0000271973 scopus 로고
    • On the number of isolating integrals in perturbed Hamiltonian systems with n ≥ 3 degrees of freedom
    • Meletlidou, E. and Ichtiaroglou, S.: 1994b, 'On the number of isolating integrals in perturbed Hamiltonian systems with n ≥ 3 degrees of freedom', J. Phys. 27A, 3919-3926.
    • (1994) J. Phys. , vol.27 A , pp. 3919-3926
    • Meletlidou, E.1    Ichtiaroglou, S.2
  • 7
    • 0003808029 scopus 로고
    • Gauthier-Villars, Paris.
    • Poincaré, H.: 1892, Les Méthodes Nouvelles de la Mécanique Céleste, Vol I, Gauthier-Villars, Paris. English translation: Goroff D. L. (ed), 1993, New Methods in Celestial Mechanics, American Institute of Physics.
    • (1892) Les Méthodes Nouvelles de la Mécanique Céleste , vol.1
    • Poincaré, H.1
  • 8
    • 0009413441 scopus 로고
    • English translation, American Institute of Physics
    • Poincaré, H.: 1892, Les Méthodes Nouvelles de la Mécanique Céleste, Vol I, Gauthier-Villars, Paris. English translation: Goroff D. L. (ed), 1993, New Methods in Celestial Mechanics, American Institute of Physics.
    • (1993) New Methods in Celestial Mechanics
    • Goroff, D.L.1
  • 9
    • 0042612175 scopus 로고
    • The Three-Body Problem with Two Small Masses: A Singular-Perturbation Approach to the Problem of Saturn's Coorbiting Satellites
    • V. Szebehely (ed), Stability of the Solar System and its Minor Natural and Artificial Bodies, Reidel, Dordrecht
    • Spirig, F. and Waldvogel, J.: 1985, 'The Three-Body Problem with Two Small Masses: A Singular-Perturbation Approach to the Problem of Saturn's Coorbiting Satellites', in: V. Szebehely (ed), Stability of the Solar System and its Minor Natural and Artificial Bodies, NATO ASI Series (C): Mathematical and Physical Sciences, Vol. 154, Reidel, Dordrecht, pp. 53-63.
    • (1985) NATO ASI Series (C): Mathematical and Physical Sciences , vol.154 , pp. 53-63
    • Spirig, F.1    Waldvogel, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.