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Volumn 357, Issue 8, 2005, Pages 3105-3117

A computer-assisted proof of Saari's conjecture for the planar three-body problem

Author keywords

Celestial mechanics; Computational algebra; Three body problem

Indexed keywords


EID: 23244462034     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-04-03527-5     Document Type: Article
Times cited : (25)

References (16)
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  • 2
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    • D. N. Bernstein, The number of roots of a system of equations, Fun. Anal. Appl., 9 (1975) 183-185. MR 55:8034
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    • Bernstein, D.N.1
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    • (1977) Fun. Anal. Appl. , vol.11 , pp. 289-296
    • Khovansky, A.G.1
  • 5
    • 0039930339 scopus 로고
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    • A. G. Kushnirenko, Newton polytopes and the Bézout theorem, Fun. Anal. Appl., 10 (1976) 233-235.
    • (1976) Fun. Anal. Appl. , vol.10 , pp. 233-235
    • Kushnirenko, A.G.1
  • 9
    • 0041759954 scopus 로고
    • A symmetric reduction of the planar three-body problem
    • F. D. Murnaghan, A symmetric reduction of the planar three-body problem, Amer. J. Math, 58 (1936) 829-832.
    • (1936) Amer. J. Math , vol.58 , pp. 829-832
    • Murnaghan, F.D.1
  • 10
    • 4043117715 scopus 로고
    • On bounded solutions of the n-body problem
    • G.E.O. Giacaglia, ed., D.Reidel, Dordrecht. MR 42:8753
    • D. Saari, On bounded solutions of the n-body problem, in G.E.O. Giacaglia, ed., Periodic Orbits, Stability and Resonances, D.Reidel, Dordrecht (1970). MR 42:8753
    • (1970) Periodic Orbits, Stability and Resonances
    • Saari, D.1
  • 12
    • 0042260745 scopus 로고
    • On a symmetric reduction of the problem of three bodies
    • E. R. van Kampen and A. Wintner, On a symmetric reduction of the problem of three bodies, Am. J. Math, 59 (1937) 153-166.
    • (1937) Am. J. Math , vol.59 , pp. 153-166
    • Van Kampen, E.R.1    Wintner, A.2
  • 13
    • 0043242205 scopus 로고
    • Symmetric and regularized coordinates on the plane triple collision manifold
    • MR 83m:70021
    • J. Waldvogel, Symmetric and regularized coordinates on the plane triple collision manifold, Cel. Mech., 28 (1982) 69-82. MR 83m:70021
    • (1982) Cel. Mech. , vol.28 , pp. 69-82
    • Waldvogel, J.1
  • 14
    • 0012986909 scopus 로고
    • The analytical foundations of celestial mechanics
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  • 16
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    • G. Zeigler, Lectures on Polytopes, Graduate Texts in Mathematics 152, Springer-Verlag, New York (1995). MR 96a:52011
    • (1995) Graduate Texts in Mathematics , vol.152
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.