메뉴 건너뛰기




Volumn 64, Issue 3, 1996, Pages 261-272

An application of the Nekhoroshev theorem to the restricted three-body problem

Author keywords

Nekhoroshev theorem; Stability; Three body problem

Indexed keywords


EID: 0002076756     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00728351     Document Type: Article
Times cited : (25)

References (13)
  • 1
    • 0003260224 scopus 로고
    • Stability of Motions Near Resonances in Quasi-Integrable Hamiltonian Systems
    • Benettin, G. and Gallavotti ,G.: 1986, 'Stability of Motions Near Resonances in Quasi-Integrable Hamiltonian Systems', J. of Stat. Phys. 44, 293.
    • (1986) J. of Stat. Phys. , vol.44 , pp. 293
    • Benettin, G.1    Gallavotti, G.2
  • 2
    • 0003296676 scopus 로고
    • A Proof of Nekhoroshev's Theorem for the Stability Times in Nearly Integrable Hamiltonian Sytems
    • Benettin, G., Galgani, L. and Giorgilli, A.: 1985, 'A Proof of Nekhoroshev's Theorem for the Stability Times in Nearly Integrable Hamiltonian Sytems', Celest. Mech. 37, 1.
    • (1985) Celest. Mech. , vol.37 , pp. 1
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3
  • 3
    • 0002014225 scopus 로고
    • A Construction Theory of Lagrangian Tori and Computer-Assisted Applications
    • Springer, Berlin
    • Celletti, A. and Chierchia, L.: 1995, 'A Construction Theory of Lagrangian Tori and Computer-Assisted Applications', Dynamics Reported, N.Ser. Vol. 4, Springer, Berlin, p. 60.
    • (1995) Dynamics Reported, N.Ser. , vol.4 , pp. 60
    • Celletti, A.1    Chierchia, L.2
  • 5
    • 34249917727 scopus 로고
    • On the Stability of the Lagrangian Points in the Spatial Restricted Problem of Three Bodies
    • Celletti, A. and Giorgilli, A.: 1991, 'On the Stability of the Lagrangian Points in the Spatial Restricted Problem of Three Bodies', Celest. Mech. Dynam. Astron. 50, 31.
    • (1991) Celest. Mech. Dynam. Astron. , vol.50 , pp. 31
    • Celletti, A.1    Giorgilli, A.2
  • 6
    • 12844268765 scopus 로고
    • Théorie du Mouvement de la Lune
    • Tome XXVIII, Paris
    • Delaunay, C.: 1860, Théorie du Mouvement de la Lune, Mém. Acad. Sci. 1, Tome XXVIII, Paris.
    • (1860) Mém. Acad. Sci. , vol.1
    • Delaunay, C.1
  • 8
    • 0000163515 scopus 로고
    • Effective Stability for a Hamiltonian System Near an Elliptic Equilibrium Point
    • Giorgilli, A., Delshams, A., Fontich, E., Galgani, L. and Simó, C.: 1989, Effective Stability for a Hamiltonian System Near an Elliptic Equilibrium Point, J. Diff. Eq. 77, 167.
    • (1989) J. Diff. Eq. , vol.77 , pp. 167
    • Giorgilli, A.1    Delshams, A.2    Fontich, E.3    Galgani, L.4    Simó, C.5
  • 9
    • 0039267836 scopus 로고
    • Exponential Stability for Time Dependent Potentials
    • Giorgilli, A. and Zehnder, E.: 1992, Exponential Stability for Time Dependent Potentials, Z. Angew. Math. Phys. (ZAMP) 43, 827.
    • (1992) Z. Angew. Math. Phys. (ZAMP) , vol.43 , pp. 827
    • Giorgilli, A.1    Zehnder, E.2
  • 10
    • 26444534656 scopus 로고
    • Stime di Stabilitá per Tempi Esponenziali con Applicazione al Problema dei Tre Corpi Ristretto
    • Universitá di L'Aquila
    • Ferrara, L.: 1994, 'Stime di Stabilitá per Tempi Esponenziali con Applicazione al Problema dei Tre Corpi Ristretto', Tesi di Laurea, Universitá di L'Aquila.
    • (1994) Tesi di Laurea
    • Ferrara, L.1
  • 11
    • 84908024292 scopus 로고
    • An Exponential Estimate of the Time of Stability of Nearly Integrable Hamiltonian Systems
    • Nekhoroshev, N.N.: 1977, An Exponential Estimate of the Time of Stability of Nearly Integrable Hamiltonian Systems, Russian Math. Surv. 32, 1.
    • (1977) Russian Math. Surv. , vol.32 , pp. 1
    • Nekhoroshev, N.N.1
  • 13
    • 0001193375 scopus 로고
    • Nekhoroshev Estimates for Quasi-Convex Hamiltonian Systems
    • Pöschel, J.: 1993, Nekhoroshev Estimates for Quasi-Convex Hamiltonian Systems, Math. Z. 213, 187.
    • (1993) Math. Z. , vol.213 , pp. 187
    • Pöschel, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.