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Volumn 66, Issue 3, 1996, Pages 255-292

Construction of a Nekhoroshev like result for the asteroid belt dynamical system

Author keywords

Asteroids; Degenerate systems; Nekhoroshev theorem

Indexed keywords


EID: 0000885512     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00049382     Document Type: Article
Times cited : (37)

References (32)
  • 1
    • 0002764805 scopus 로고
    • Proof of A. N. Kolmogorov's Theorem on the conservation of conditionally periodic motions with a small variation in the Hamiltonian
    • Arnold, V. I.: 1963a, Proof of A. N. Kolmogorov's Theorem on the conservation of conditionally periodic motions with a small variation in the Hamiltonian, Russian Math. Surv., 18(5), 9-36.
    • (1963) Russian Math. Surv. , vol.18 , Issue.5 , pp. 9-36
    • Arnold, V.I.1
  • 2
    • 0002356196 scopus 로고
    • Small denominators and problems of stability of motion in classical and celestial mechanics
    • Arnold, V. I.: 1963b, Small denominators and problems of stability of motion in classical and celestial mechanics, Russ. Math. Surveys, 18, 85-191.
    • (1963) Russ. Math. Surveys , vol.18 , pp. 85-191
    • Arnold, V.I.1
  • 3
    • 0010930714 scopus 로고
    • On a theorem of Liouville concerning integrable problems of dynamics
    • Arnold, V. I.: 1963c, On a theorem of Liouville concerning integrable problems of dynamics, Sib. Mathem. Zh., 4(2).
    • (1963) Sib. Mathem. Zh. , vol.4 , Issue.2
    • Arnold, V.I.1
  • 4
    • 0003296676 scopus 로고
    • A proof of Nekhoroshev's Theorem for the stability times in nearly integrable Hamiltonian systems
    • Benettin, G., Galgani L. and Giorgilli A.: 1985, A proof of Nekhoroshev's Theorem for the stability times in nearly integrable Hamiltonian systems, Cel. Mech., 37(1).
    • (1985) Cel. Mech. , vol.37 , Issue.1
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3
  • 5
    • 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. Stat. Phys., 44, 293-338.
    • (1986) J. Stat. Phys. , vol.44 , pp. 293-338
    • Benettin, G.1    Gallavotti, G.2
  • 6
    • 0039117989 scopus 로고
    • Fast rotations of the rigid body: A study by Hamiltonian perturbation theory
    • Part I
    • Benettin, G. and Fassò F.: 1995, Fast rotations of the rigid body: a study by Hamiltonian perturbation theory. Part I, Nonlinearity, 9, 137-186.
    • (1995) Nonlinearity , vol.9 , pp. 137-186
    • Benettin, G.1    Fassò, F.2
  • 8
    • 0001419453 scopus 로고
    • Termes à longues périodes dans le système solaire
    • Bretagnon, P.: 1974, 'Termes à longues périodes dans le système solaire', Astron. Astrophys. 30, 141-154.
    • (1974) Astron. Astrophys. , vol.30 , pp. 141-154
    • Bretagnon, P.1
  • 9
    • 0001809196 scopus 로고
    • Hamiltonian perturbation theory on a manifold
    • Fassò, F.: 1995, Hamiltonian perturbation theory on a manifold, Cel. Mech. Dyn. Astron. 62(43).
    • (1995) Cel. Mech. Dyn. Astron. , vol.62 , Issue.43
    • Fassò, F.1
  • 11
    • 26444585275 scopus 로고
    • Invariant KAM tori and global stability for Hamiltonian systems
    • submitted
    • Giorgilli, A. and Morbidelli A.: 1995, Invariant KAM tori and global stability for Hamiltonian systems, submitted to ZAMP.
    • (1995) ZAMP
    • Giorgilli, A.1    Morbidelli, A.2
  • 12
    • 0039267836 scopus 로고
    • Exponentially stability for time dependent potentials
    • Giorgilli, A. and Zehnder E.: 1992, Exponentially stability for time dependent potentials, ZAMP, 43, 827-855.
    • (1992) ZAMP , vol.43 , pp. 827-855
    • Giorgilli, A.1    Zehnder, E.2
  • 13
    • 0001246972 scopus 로고
    • On the preservation of conditionally periodic motions
    • Kolmogorov, A. N.: 1954, On the preservation of conditionally periodic motions, Dokl. Akad. Nauk SSSR, 98, 527.
    • (1954) Dokl. Akad. Nauk SSSR , vol.98 , pp. 527
    • Kolmogorov, A.N.1
  • 14
    • 0000825185 scopus 로고
    • Secular perturbations of asteroids with high inclination and eccentricities
    • Kozai, Y.: 1962, Secular perturbations of asteroids with high inclination and eccentricities, Astron. J., 67, 591-598.
    • (1962) Astron. J. , vol.67 , pp. 591-598
    • Kozai, Y.1
  • 15
    • 0000003245 scopus 로고
    • Secular evolution of the solar system over 10 million years
    • Laskar, J.: 1988, Secular evolution of the solar system over 10 million years, Astron. Astrophys., 198, 341-362.
    • (1988) Astron. Astrophys. , vol.198 , pp. 341-362
    • Laskar, J.1
  • 16
    • 33750108107 scopus 로고
    • The chaotic motion of the solar system: A numerical estimate of the size of the chaotic zones
    • Laskar, J.: 1990, The chaotic motion of the solar system: a numerical estimate of the size of the chaotic zones, Icarus, 88, 266-291.
    • (1990) Icarus , vol.88 , pp. 266-291
    • Laskar, J.1
  • 17
    • 0009566519 scopus 로고
    • Large scale chaos and marginal stability in the Solar System
    • Paris
    • Laskar, J. : 1995, Large scale chaos and marginal stability in the Solar System, XIth ICMP Colloquium, Paris.
    • (1995) XIth ICMP Colloquium
    • Laskar, J.1
  • 18
    • 0001926710 scopus 로고
    • Canonical perturbation theory via simultaneous approximations
    • English transl. in Russ. Math. Surv.
    • Lochak, P.: 1992, Canonical perturbation theory via simultaneous approximations, Usp. Math. Nauk., 47, 59-140. English transl. in Russ. Math. Surv.
    • (1992) Usp. Math. Nauk. , vol.47 , pp. 59-140
    • Lochak, P.1
  • 19
    • 0000550816 scopus 로고
    • Secular resonances in the asteroid belt: Theoretical perturbation approach and the problem of their location
    • Morbidelli, A. and Henrard, J.: 1991, Secular resonances in the asteroid belt: theoretical perturbation approach and the problem of their location, Celest. Mech., 51, 131-167.
    • (1991) Celest. Mech. , vol.51 , pp. 131-167
    • Morbidelli, A.1    Henrard, J.2
  • 20
    • 0001713329 scopus 로고
    • On a connection between KAM and Nekhoroshev Theorems
    • Morbidelli, A. and Giorgilli, A.: 1995, On a connection between KAM and Nekhoroshev Theorems, Physica D, 86, 514-516.
    • (1995) Physica D , vol.86 , pp. 514-516
    • Morbidelli, A.1    Giorgilli, A.2
  • 21
    • 26444577859 scopus 로고    scopus 로고
    • The Nekhoroshev Theorem and the asteroid belt dynamical system
    • submitted
    • Morbidelli, A. and Guzzo, M.: 1996, The Nekhoroshev Theorem and the asteroid belt dynamical system, Celest. Mech., submitted.
    • (1996) Celest. Mech.
    • Morbidelli, A.1    Guzzo, M.2
  • 22
    • 0008525913 scopus 로고    scopus 로고
    • On the relationship between Lyapunov times and macroscopic instability times
    • in press
    • Morbidelli A. and Froeschlé C.: 1996, On the relationship between Lyapunov times and macroscopic instability times Celest. Mech., in press.
    • (1996) Celest. Mech.
    • Morbidelli, A.1    Froeschlé, C.2
  • 23
    • 84980072725 scopus 로고
    • New aspects in the theory of stability of hamiltonian systems
    • Moser, J.: 1958, New aspects in the theory of stability of hamiltonian systems, Comm. on Pure and Appl. Math., 11, 81-114.
    • (1958) Comm. on Pure and Appl. Math. , vol.11 , pp. 81-114
    • Moser, J.1
  • 24
    • 84908024292 scopus 로고
    • Exponential estimates of the stability time of near-integrable Hamiltonian systems
    • Nekhoroshev, N. N.: 1977, Exponential estimates of the stability time of near-integrable Hamiltonian systems, Russ. Math. Surveys, 32, 1-65.
    • (1977) Russ. Math. Surveys , vol.32 , pp. 1-65
    • Nekhoroshev, N.N.1
  • 25
    • 0002306395 scopus 로고
    • Exponential estimates of the stability time of near-integrable Hamiltonian systems, 2
    • Nekhoroshev, N. N.: 1979, Exponential estimates of the stability time of near-integrable Hamiltonian systems, 2, Trudy Sem. Petrovs., 5, 5-50.
    • (1979) Trudy Sem. Petrovs. , vol.5 , pp. 5-50
    • Nekhoroshev, N.N.1
  • 27
    • 0013207330 scopus 로고    scopus 로고
    • Stability over exponentially long times in the planetary problem
    • Niederman, L.: 1996, Stability over exponentially long times in the planetary problem, Nonlinearity, 9, 1703-1751.
    • (1996) Nonlinearity , vol.9 , pp. 1703-1751
    • Niederman, L.1
  • 28
    • 0001596599 scopus 로고
    • Fundamental frequencies and small divisors in the orbits of the outer planets
    • Nobili, A., Milani, A. and Carpino, M.: 1989, Fundamental frequencies and small divisors in the orbits of the outer planets, Astron. Astrophys., 210, 313-336.
    • (1989) Astron. Astrophys. , vol.210 , pp. 313-336
    • Nobili, A.1    Milani, A.2    Carpino, M.3
  • 29
    • 0001193375 scopus 로고
    • Nekhoroshev's estimates for quasi-convex Hamiltonian systems
    • Pöschel, J.: 1993, Nekhoroshev's estimates for quasi-convex Hamiltonian systems, Math. Z., 213, 187.
    • (1993) Math. Z. , vol.213 , pp. 187
    • Pöschel, J.1
  • 31
    • 0042682409 scopus 로고
    • Stability of the planetary three-body problem. II: KAM theory and the existence of quasiperiodic motions
    • Robutel, P.: 1995, Stability of the planetary three-body problem. II: KAM theory and the existence of quasiperiodic motions, Celest. Mech., 62, 219-261.
    • (1995) Celest. Mech. , vol.62 , pp. 219-261
    • Robutel, P.1


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