메뉴 건너뛰기




Volumn 75, Issue 2, 1999, Pages 103-124

Analytical and numerical results on the stability of a planetary precessional model

Author keywords

Planetary precession; Spin orbit resonances; Stability estimates

Indexed keywords


EID: 0042639237     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1008369122327     Document Type: Article
Times cited : (1)

References (39)
  • 2
    • 0002764805 scopus 로고
    • Proof of a theorem by A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian
    • Arnold, V. I.: 'Proof of a theorem by A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian', Russ. Math. Surv. 18(9) (1963).
    • (1963) Russ. Math. Surv. , vol.18 , Issue.9
    • Arnold, V.I.1
  • 3
    • 0039117989 scopus 로고    scopus 로고
    • 'Fast rotations of the rigid body: A study by Hamiltonian perturbation theory', Part I
    • Benettin, G. and Fassó, F.: 'Fast rotations of the rigid body: a study by Hamiltonian perturbation theory', Part I, Nonlinearity 9 (1996), 137-186.
    • (1996) Nonlinearity , vol.9 , pp. 137-186
    • Benettin, G.1    Fassó, F.2
  • 4
    • 0000644189 scopus 로고    scopus 로고
    • Fast rotations of the rigid body: A study by Hamiltonian perturbation theory, Part II
    • Benettin, G., Fassó, F. and Guzzo M.: 'Fast rotations of the rigid body: a study by Hamiltonian perturbation theory, Part II, Nonlinearity 10 (1997), 1695-1717.
    • (1997) Nonlinearity , vol.10 , pp. 1695-1717
    • Benettin, G.1    Fassó, F.2    Guzzo, M.3
  • 6
    • 0000576320 scopus 로고
    • 'Analysis of resonances in the spin-orbit problem in Celestial Mechanics: The synchronous resonance', Part I
    • Celletti, A.: 'Analysis of resonances in the spin-orbit problem in Celestial Mechanics: the synchronous resonance', Part I, J. Appl. Math. Phys. (ZAMP) 41 (1990), 174-204.
    • (1990) J. Appl. Math. Phys. (ZAMP) , vol.41 , pp. 174-204
    • Celletti, A.1
  • 7
    • 0041759343 scopus 로고
    • 'Analysis of resonances in the spin-orbit problem in Celestial Mechanics: The synchronous resonance', Part II
    • Celletti, A.: 'Analysis of resonances in the spin-orbit problem in Celestial Mechanics: the synchronous resonance', Part II, J. Appl. Math. Phys. (ZAMP) 41 (1990), 473.
    • (1990) J. Appl. Math. Phys. (ZAMP) , vol.41 , pp. 473
    • Celletti, A.1
  • 8
    • 0002322678 scopus 로고
    • Construction of librational invariant tori in the spin-orbit problem
    • Celletti, A.: 'Construction of librational invariant tori in the spin-orbit problem', J. Appl. Math. Phys. (ZAMP) 45 (1993), 61.
    • (1993) J. Appl. Math. Phys. (ZAMP) , vol.45 , pp. 61
    • Celletti, A.1
  • 9
    • 0042761226 scopus 로고
    • Rigorous estimates for a computer-assisted kam theory
    • Celletti, A. and Chierchia, L.: 'Rigorous estimates for a computer-assisted kam theory', J. Math. Phys. 28 (1981), 2078.
    • (1981) J. Math. Phys. , vol.28 , pp. 2078
    • Celletti, A.1    Chierchia, L.2
  • 10
    • 0002014225 scopus 로고
    • A constructive theory of Lagrangian tori and computer-assisted applications
    • Celletti, A. and Chierchia, L.: 'A constructive theory of Lagrangian tori and computer-assisted applications', Dynamics Reported (new series) 4 (1995), 60-129.
    • (1995) Dynamics Reported (New Series) , vol.4 , pp. 60-129
    • Celletti, A.1    Chierchia, L.2
  • 11
    • 0042206571 scopus 로고
    • On the stability of realistic three body problems
    • Celletti, A. and Chierchia, L.: 'On the stability of realistic three body problems', Comm. Math. Phys. 186 (1977), 413-449.
    • (1977) Comm. Math. Phys. , vol.186 , pp. 413-449
    • Celletti, A.1    Chierchia, L.2
  • 13
    • 0042260045 scopus 로고
    • Effects of gravity-gradient torque on the rotational motion of a triaxial in a precessing elliptic orbit
    • Cochran, J. E.: 'Effects of gravity-gradient torque on the rotational motion of a triaxial in a precessing elliptic orbit', Celest. Mech. & Dyn. Astr. 6 (1972), 127-150.
    • (1972) Celest. Mech. & Dyn. Astr. , vol.6 , pp. 127-150
    • Cochran, J.E.1
  • 14
    • 0001254570 scopus 로고
    • Colombo, G.: Nature 208 (1965), 575.
    • (1965) Nature , vol.208 , pp. 575
    • Colombo, G.1
  • 15
    • 0008899383 scopus 로고
    • The rotation of the planet mercury
    • Colombo, G. and Shapiro, I. I.: 'The rotation of the planet mercury', Astrophys. J. 145 (1966), 296.
    • (1966) Astrophys. J. , vol.145 , pp. 296
    • Colombo, G.1    Shapiro, I.I.2
  • 17
    • 84955034890 scopus 로고
    • Free rotation of a rigid body studied in phase plane
    • Déprit, A.: 'Free rotation of a rigid body studied in phase plane', Am. J. Phys. 55 (1967), 424.
    • (1967) Am. J. Phys. , vol.55 , pp. 424
    • Déprit, A.1
  • 18
    • 0042761225 scopus 로고
    • On the generalized restricted problem of three bodies
    • Duboshin, G. N.: 'On the generalized restricted problem of three bodies', Celest. Mech. & Dyn. Astr. 4 (1971), 423-441.
    • (1971) Celest. Mech. & Dyn. Astr. , vol.4 , pp. 423-441
    • Duboshin, G.N.1
  • 19
    • 0042260062 scopus 로고
    • About the first integrals of the generalized problem of translatory - Rotary motion of rigid bodies
    • Duboshin., G. N.: 'About the first integrals of the generalized problem of translatory - rotary motion of rigid bodies', Celest. Mech. & Dyn. Astr. 6 (1972), 27-39.
    • (1972) Celest. Mech. & Dyn. Astr. , vol.6 , pp. 27-39
    • Duboshin, G.N.1
  • 20
    • 0000015688 scopus 로고
    • Numerical study of a four-dimensional mapping
    • Froeschlé, C.: 'Numerical study of a four-dimensional mapping', Astron. Astrophys. 16 (1972), 172.
    • (1972) Astron. Astrophys. , vol.16 , pp. 172
    • Froeschlé, C.1
  • 21
    • 0001208644 scopus 로고
    • Spin-orbit coupling in the solar system
    • Goldreich, P. and Peale, S.: 'Spin-orbit coupling in the solar system', Astron. J. 71 (1966), 425.
    • (1966) Astron. J. , vol.71 , pp. 425
    • Goldreich, P.1    Peale, S.2
  • 24
    • 0041759331 scopus 로고
    • Resonant and non-resonant gravity-gradient perturbations of a tumbling tri-axial satellite
    • Hitzl, D. L. and Breakwell, J. V.: 'Resonant and non-resonant gravity-gradient perturbations of a tumbling tri-axial satellite', Celest. Mech. & Dyn. Astr. 3 (1971), 346-383.
    • (1971) Celest. Mech. & Dyn. Astr. , vol.3 , pp. 346-383
    • Hitzl, D.L.1    Breakwell, J.V.2
  • 25
    • 0001246971 scopus 로고
    • On the conservation of conditionally periodic motions under small perturbation of the Hamiltonian
    • Kolmogorov, A. N.: 'On the conservation of conditionally periodic motions under small perturbation of the Hamiltonian', Dokl. Akad. Nauk. SSR 98 (1954), 469.
    • (1954) Dokl. Akad. Nauk. SSR , vol.98 , pp. 469
    • Kolmogorov, A.N.1
  • 26
    • 0000003245 scopus 로고
    • Secular evolution of the solar system over 10 million years
    • Laskar, J.: 'Secular evolution of the solar system over 10 million years', Astron. Astrophys. 198 (1988), 341-362.
    • (1988) Astron. Astrophys. , vol.198 , pp. 341-362
    • Laskar, J.1
  • 27
    • 33750108107 scopus 로고
    • The chaotic motion of the solar system. a numerical estimate of the size of the chaotic zones
    • Laskar, J.: 'The chaotic motion of the solar system. A numerical estimate of the size of the chaotic zones', Icarus 88 (1990), 266-291.
    • (1990) Icarus , vol.88 , pp. 266-291
    • Laskar, J.1
  • 28
    • 43949162797 scopus 로고
    • Frequency analysis for multi-dimensional systems. Global dynamics and diffusion
    • Laskar, J.: 'Frequency analysis for multi-dimensional systems. Global dynamics and diffusion', Physica D 67 (1993), 257-281.
    • (1993) Physica D , vol.67 , pp. 257-281
    • Laskar, J.1
  • 29
    • 0002536461 scopus 로고
    • Large scale chaos in the solar system
    • Laskar, J.: 'Large scale chaos in the solar system', Astron. Astrophys. 287 (1994), 9-12.
    • (1994) Astron. Astrophys. , vol.287 , pp. 9-12
    • Laskar, J.1
  • 30
    • 0346001036 scopus 로고    scopus 로고
    • Large scale chaos and marginal stability in the solar system
    • Laskar, J.: 'Large scale chaos and marginal stability in the solar system', Celest. Mech. & Dyn. Astr. 64 (1996), 115-162.
    • (1996) Celest. Mech. & Dyn. Astr. , vol.64 , pp. 115-162
    • Laskar, J.1
  • 31
    • 12044250041 scopus 로고
    • The chaotic obliquity of the planets
    • Laskar, J. and Robutel, P.: 'The chaotic obliquity of the planets', Nature 361 (1993a), 608-612.
    • (1993) Nature , vol.361 , pp. 608-612
    • Laskar, J.1    Robutel, P.2
  • 32
    • 0027455839 scopus 로고
    • Stabilization of the Earth's obliquity by the Moon
    • Laskar, J., Joutel, F. and Robutel, P.: 'Stabilization of the Earth's obliquity by the Moon', Nature 361 (1993b), 615-617.
    • (1993) Nature , vol.361 , pp. 615-617
    • Laskar, J.1    Joutel, F.2    Robutel, P.3
  • 33
    • 0001851184 scopus 로고
    • On invariant curves of area-preserving mappings of an annulus
    • Moser, J.: 'On invariant curves of area-preserving mappings of an annulus', Nach. Akad. Wiss. Gottingen Math. Phys. Kl. II 1 (1962), 1.
    • (1962) Nach. Akad. Wiss. Gottingen Math. Phys. Kl. II , vol.1 , pp. 1
    • Moser, J.1
  • 34
    • 0041739459 scopus 로고
    • Some mathematical aspects of spin-orbit resonance I
    • Murdock, J. A.: 'Some mathematical aspects of spin-orbit resonance I', Celest. Mech. & Dyn. Astr. 18 (1978), 237.
    • (1978) Celest. Mech. & Dyn. Astr. , vol.18 , pp. 237
    • Murdock, J.A.1
  • 35
    • 0009127066 scopus 로고
    • Some mathematical aspects of spin-orbit resonance II
    • Murdock, J. A.: 'Some mathematical aspects of spin-orbit resonance II', Celest. Mech. & Dyn. Astr. 24 (1981), 83.
    • (1981) Celest. Mech. & Dyn. Astr. , vol.24 , pp. 83
    • Murdock, J.A.1
  • 36
    • 0002650276 scopus 로고
    • An exponential estimate of the time of stability of nearly integrable Hamiltonian systems
    • Nekhoroshev, N. N.: 'An exponential estimate of the time of stability of nearly integrable Hamiltonian systems', Usp. Mat. Nauk 32 (1977), 5.
    • (1977) Usp. Mat. Nauk , vol.32 , pp. 5
    • Nekhoroshev, N.N.1
  • 38
    • 0000341041 scopus 로고
    • Chaotic behaviour in the solar system
    • Wisdom, J.: 'Chaotic behaviour in the solar system', Proc. R. Soc. Lond. A 413 (1987), 109.
    • (1987) Proc. R. Soc. Lond. A , vol.413 , pp. 109
    • Wisdom, J.1
  • 39
    • 0001334822 scopus 로고
    • The chaotic rotation of Hyperion
    • Wisdom, J. and Peale, S. J.: 'The chaotic rotation of Hyperion', Icarus 58 (1984), 137.
    • (1984) Icarus , vol.58 , pp. 137
    • Wisdom, J.1    Peale, S.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.