Saari, Donald G.; Hulkower, Neal D. On the manifolds of total collapse orbits and of completely parabolic orbits for the n-body problem. (English) Zbl 0475.70010 J. Differ. Equations 41, 27-43 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 24 Documents MSC: 70F10 \(n\)-body problems 70F35 Collision of rigid or pseudo-rigid bodies 70M20 Orbital mechanics 70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics Keywords:manifolds of solutions; infinite spin; total collapse; completely parabolic motion Citations:Zbl 0353.70007 PDFBibTeX XMLCite \textit{D. G. Saari} and \textit{N. D. Hulkower}, J. Differ. Equations 41, 27--43 (1981; Zbl 0475.70010) Full Text: DOI References: [1] Chazy, I. J., Sur l’allure du mouvement dans le problème des trois corps quand le temps croit indéfiniment, Ann. Sci. École Norm. Sup., 39, 29-130 (1922) · JFM 48.1074.04 [2] Hulkower, N. D., The zero energy three body problem, Indiana Univ. Math. J., 27, 409-448 (1978) · Zbl 0353.70007 [3] Johnson, C. R., The inertia of a product of two hermitian matrices, J. Math. Anal. Appl., 57, 85-90 (1977) · Zbl 0356.15011 [4] Marchal, C.; Saari, D. G., On the final evolution of the \(n\) body problem, J. Differential Equations, 20, 150-186 (1976) · Zbl 0336.70010 [5] Palmore, J., Measure of degenerate relative equilibria, I, Ann. of Math., 104, 421-431 (1976) · Zbl 0321.58014 [6] Pollard, H., Gravitational systems, J. Math. Mech., 17, 601-612 (1976) · Zbl 0159.26102 [7] Pollard, H.; Saari, D. G., Singularities of the \(n\)-body problem, I, Arch. Rational Mech. Anal., 30, 263-269 (1968) · Zbl 0174.26904 [8] Pollard, H.; Saari, D. G., Singularities of the \(n\)-body problem, II, (Shishu, O., Inequalities, Vol. II (1970), Academic Press: Academic Press New York) · Zbl 0174.26904 [9] Saari, D. G., Expanding gravitational systems, Trans. Amer. Math. Soc., 156, 219-240 (1971) · Zbl 0215.57001 [10] Saari, D. G., On the role and the properties of \(n\) body central configurations, Celestial Mech., 21, 9-20 (1980) · Zbl 0422.70014 [12] Siegel, C. L.; Moser, J. K., Lectures on Celestial Mechanics (1971), Springer-Verlag: Springer-Verlag New York · Zbl 0312.70017 [13] Winter, A., The Analytical Foundations of Celestial Mechanics (1941), Princeton Univ. Press: Princeton Univ. Press Princeton, N J · JFM 67.0785.01 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.