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Volumn 82, Issue 4, 2002, Pages 375-390

Regularizing time transformations in symplectic and composite integration

Author keywords

Planetary systems; Symplectic integration; Three body problem; Time transformations

Indexed keywords


EID: 0036099541     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015248903174     Document Type: Article
Times cited : (11)

References (13)
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  • 2
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    • Symplectic integrators and their application in dynamical astronomy
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  • 3
    • 84936358059 scopus 로고
    • Perturbation theory of Kepler motion based on spinor regularization
    • Kustaanheimo, P. and Stiefel, E.: 1965, 'Perturbation theory of Kepler motion based on spinor regularization', J. Reine Angew. Math. 218, 204-219.
    • (1965) J. Reine Angew. Math. , vol.218 , pp. 204-219
    • Kustaanheimo, P.1    Stiefel, E.2
  • 4
    • 0001116970 scopus 로고    scopus 로고
    • Practical symplectic methods with time transformation for the few-body problem
    • Mikkola, S.: 1997, 'Practical symplectic methods with time transformation for the few-body problem', Celest. Mech. & Dyn. Astr. 67, 145-165.
    • (1997) Celest. Mech. & Dyn. Astr. , vol.67 , pp. 145-165
    • Mikkola, S.1
  • 5
    • 0005502370 scopus 로고    scopus 로고
    • Non-canonical perturbations in symplectic-integration
    • Mikkola, S.: 1998, 'Non-canonical perturbations in symplectic-integration', Celest. Mech. & Dyn. Astr. 68, 249-255.
    • (1998) Celest. Mech. & Dyn. Astr. , vol.68 , pp. 249-255
    • Mikkola, S.1
  • 6
    • 0039211609 scopus 로고    scopus 로고
    • Explicit symplectic algorithms for time-transformed Hamiltonians
    • MT99
    • Mikkola, S. and Tanikawa, K.: 1999a [MT99], 'Explicit symplectic algorithms for time-transformed Hamiltonians', Celest. Mech. & Dyn. Astr. 74, 287-295.
    • (1999) Celest. Mech. & Dyn. Astr. , vol.74 , pp. 287-295
    • Mikkola, S.1    Tanikawa, K.2
  • 7
    • 0042913051 scopus 로고    scopus 로고
    • Algorithmic regularization of the few-body problem
    • Mikkola, S. and Tanikawa, K.: 1999b, 'Algorithmic regularization of the few-body problem', Mon. Not. R. Astr. Soc. 310, 745-749.
    • (1999) Mon. Not. R. Astr. Soc. , vol.310 , pp. 745-749
    • Mikkola, S.1    Tanikawa, K.2
  • 8
    • 0040626490 scopus 로고    scopus 로고
    • A class of symplectic integrators with adaptive timestep for separable Hamiltonian systems
    • PT99
    • Preto, M. and Tremaine, S.: 1999 [PT99], 'A class of symplectic integrators with adaptive timestep for separable Hamiltonian systems', Astron. J. 118, 2532-2541.
    • (1999) Astron. J. , vol.118 , pp. 2532-2541
    • Preto, M.1    Tremaine, S.2
  • 9
    • 0012391138 scopus 로고    scopus 로고
    • Dynamical chaos in the Wisdom-Holman integrator: Origins and solution
    • Rauch, K. P. and Holman, M.: 1999, 'Dynamical chaos in the Wisdom-Holman integrator: origins and solution', Astron. J. 117, 1087-1102.
    • (1999) Astron. J. , vol.117 , pp. 1087-1102
    • Rauch, K.P.1    Holman, M.2
  • 12
    • 0013621834 scopus 로고
    • VEB Deutscher Verlag der Wissenschaften, Berlin
    • Stumpff, K.: 1962, Himmelsmechanik, Band I, VEB Deutscher Verlag der Wissenschaften, Berlin.
    • (1962) Himmelsmechanik , vol.1
    • Stumpff, K.1
  • 13
    • 0346444651 scopus 로고
    • Symplectic maps for the N-body problem
    • Wisdom, J. and Holman, M.: 1991, 'Symplectic maps for the N-body problem', Astron. J. 102, 1520-1538.
    • (1991) Astron. J. , vol.102 , pp. 1520-1538
    • Wisdom, J.1    Holman, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.