Albouy, Alain; Fu, Yanning; Sun, Shanzhong Symmetry of planar four-body convex central configurations. (English) Zbl 1138.70006 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2093, 1355-1365 (2008). MSC: 70F10 PDFBibTeX XMLCite \textit{A. Albouy} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2093, 1355--1365 (2008; Zbl 1138.70006) Full Text: DOI arXiv
Deng, Chunhua; Zhang, Shiqing New periodic solutions for 2\(n\)-body problems in \(R^{3}\). (English) Zbl 1159.70007 J. Math. Anal. Appl. 330, No. 1, 312-321 (2007). MSC: 70F05 70K42 70G75 PDFBibTeX XMLCite \textit{C. Deng} and \textit{S. Zhang}, J. Math. Anal. Appl. 330, No. 1, 312--321 (2007; Zbl 1159.70007) Full Text: DOI
Molina, R.; Vigueras, A. The planar \(n\)-body problem: regular polygon solutions. (English) Zbl 1059.70009 Appl. Math. Comput. 156, No. 2, 321-327 (2004). MSC: 70F10 PDFBibTeX XMLCite \textit{R. Molina} and \textit{A. Vigueras}, Appl. Math. Comput. 156, No. 2, 321--327 (2004; Zbl 1059.70009) Full Text: DOI
Chenciner, Alain; Montgomery, Richard A remarkable periodic solution of the three-body problem in the case of equal masses. (English) Zbl 0987.70009 Ann. Math. (2) 152, No. 3, 881-901 (2000). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 70F07 34C25 PDFBibTeX XMLCite \textit{A. Chenciner} and \textit{R. Montgomery}, Ann. Math. (2) 152, No. 3, 881--901 (2000; Zbl 0987.70009) Full Text: DOI arXiv EuDML Link
Umehara, Hiroaki; Tanikawa, Kiyotaka Binary and triple collisions causing instability in the free-fall three-body problem. (English) Zbl 0980.70010 Celest. Mech. Dyn. Astron. 76, No. 3, 187-214 (2000). MSC: 70F07 70F16 PDFBibTeX XMLCite \textit{H. Umehara} and \textit{K. Tanikawa}, Celest. Mech. Dyn. Astron. 76, No. 3, 187--214 (2000; Zbl 0980.70010) Full Text: DOI
Boucher, Delphine On the nonintegrability of the planar three-body problem with equal masses. (Sur la non-intégrabilité du problème plan des trois corps de masses égales.) (French) Zbl 0980.70008 C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 5, 391-394 (2000). MSC: 70F07 70H07 PDFBibTeX XMLCite \textit{D. Boucher}, C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 5, 391--394 (2000; Zbl 0980.70008) Full Text: DOI
Kotsireas, I.; Lazard, D. Central configurations of the 5-body problem with equal masses in three-space. (English) Zbl 1004.70008 J. Math. Sci., New York 108, No. 6, 1119-1138 (2002) and Zap. Nauchn. Semin. POMI 258, 292-317 (1999). MSC: 70F10 70-08 68W30 PDFBibTeX XMLCite \textit{I. Kotsireas} and \textit{D. Lazard}, J. Math. Sci., New York 108, No. 6, 1 (1999; Zbl 1004.70008) Full Text: DOI
Umehara, Hiroaki; Tanikawa, Kiyotaka Orbital distribution arbitrarily close to the homothetic equilateral triple collision in the free-fall three-body problem with equal masses. (English) Zbl 0974.70010 Celest. Mech. Dyn. Astron. 74, No. 2, 69-94 (1999). Reviewer: Nina A.Solovaya (Moskva) MSC: 70F07 70F16 PDFBibTeX XMLCite \textit{H. Umehara} and \textit{K. Tanikawa}, Celest. Mech. Dyn. Astron. 74, No. 2, 69--94 (1999; Zbl 0974.70010) Full Text: DOI
Coutinho, F. A. B.; Nogami, Y.; Tomio, Lauro Many-body system with a four-parameter family of point interactions in one dimension. (English) Zbl 0974.81067 J. Phys. A, Math. Gen. 32, No. 26, 4931-4942 (1999). MSC: 81V70 81Q05 81U15 PDFBibTeX XMLCite \textit{F. A. B. Coutinho} et al., J. Phys. A, Math. Gen. 32, No. 26, 4931--4942 (1999; Zbl 0974.81067) Full Text: DOI arXiv
Sulikashvili, R. S. Equilibrium states and steady motions of regular polyghedra in a Newtonian force field. (Russian) Zbl 0874.70007 Burchuladze, T. V. (ed.), Boundary value problems of mathematical physics. 3. Tbilisi: Metsniereba. Proc. A. Razmadze Math. Inst. 105, 81-89 (1995). Reviewer: L.Sperling (Magdeburg) MSC: 70E15 70K20 PDFBibTeX XMLCite \textit{R. S. Sulikashvili}, in: Kraevye zadachi matematicheskoj fiziki. 3. Tbilisi: Metsniereba. 81--89 (1995; Zbl 0874.70007)
Dvorak, Rudolph; Sun, Yi Sui Bounded motions in the extended Sitnikov problem. (English) Zbl 0869.70006 Benest, Daniel (ed.) et al., Chaos and diffusion in Hamiltonian systems. Proceedings of the 4th workshop in astronomy and astrophysics, Chamonix, France, February 7–12, 1994. Gif-sur-Yvette: Editions Frontières. 273-284 (1995). MSC: 70F07 PDFBibTeX XMLCite \textit{R. Dvorak} and \textit{Y. S. Sun}, in: Chaos and diffusion in Hamiltonian systems. Proceedings of the 4th workshop in astronomy and astrophysics, Chamonix, France, February 7--12, 1994. Gif-sur-Yvette: Editions Frontières. 273--284 (1995; Zbl 0869.70006)
Moeckel, Richard Linear stability analysis of some symmetrical classes of relative equilibria. (English) Zbl 0833.70009 Dumas, H. S. (ed.) et al., Hamiltonian dynamical systems: history, theory, and applications. Proceedings of the international conference held at the University of Cincinnati, OH (USA), March 1992. New York, NY: Springer-Verlag. IMA Vol. Math. Appl. 63, 291-317 (1995). MSC: 70F10 70K20 PDFBibTeX XMLCite \textit{R. Moeckel}, IMA Vol. Math. Appl. 63, 291--317 (1995; Zbl 0833.70009)
Albouy, Alain Symmetry of central configurations of four bodies. (Symétrie des configurations centrales de quatre corps.) (French) Zbl 0832.70011 C. R. Acad. Sci., Paris, Sér. I 320, No. 2, 217-220 (1995). MSC: 70F10 PDFBibTeX XMLCite \textit{A. Albouy}, C. R. Acad. Sci., Paris, Sér. I 320, No. 2, 217--220 (1995; Zbl 0832.70011)
Barbone, Paul E. Stability of harmonic waves in a periodic system and the radiation condition. (English) Zbl 0851.73029 J. Appl. Mech. 61, No. 4, 980-983 (1994). Reviewer: Yu.N.Sankin (Ul’yanovsk) MSC: 74H45 74K05 PDFBibTeX XMLCite \textit{P. E. Barbone}, J. Appl. Mech. 61, No. 4, 980--983 (1994; Zbl 0851.73029) Full Text: DOI
Casasayas, Josefina; Llibre, Jaume; Nunes, Ana Central configurations of the planar \(1+N\) body problem. (English) Zbl 0821.70007 Celest. Mech. Dyn. Astron. 60, No. 2, 273-288 (1994). MSC: 70F10 PDFBibTeX XMLCite \textit{J. Casasayas} et al., Celest. Mech. Dyn. Astron. 60, No. 2, 273--288 (1994; Zbl 0821.70007) Full Text: DOI
Pinotsis, A. D. Bifurcations, stability and universality of families of periodic orbits in the restricted three-body problem. (English) Zbl 0587.70016 Astron. Astrophys. 159, 231-238 (1986). MSC: 70K20 70F07 34C25 37G99 PDFBibTeX XMLCite \textit{A. D. Pinotsis}, Astron. Astrophys. 159, 231--238 (1986; Zbl 0587.70016)
Perko, L. M.; Walter, E. L. Regular polygon solutions of the \(N\)-body problem. (English) Zbl 0583.70008 Proc. Am. Math. Soc. 94, 301-309 (1985). Reviewer: Zakir F. Seidov (Ashkelon) MSC: 70F10 34C25 PDFBibTeX XMLCite \textit{L. M. Perko} and \textit{E. L. Walter}, Proc. Am. Math. Soc. 94, 301--309 (1985; Zbl 0583.70008) Full Text: DOI
Khot, N. S. Optimization of structures with multiple frequency constraints. (English) Zbl 0565.73078 Comput. Struct. 20, 869-876 (1985). MSC: 74P99 74H45 74S05 PDFBibTeX XMLCite \textit{N. S. Khot}, Comput. Struct. 20, 869--876 (1985; Zbl 0565.73078) Full Text: DOI
Doubochine, G. N. Special cases of restricted three-body problems. (Cas special du problème restreint des trois corps.) (French) Zbl 0587.70008 Celestial Mech. 33, 21-30 (1984). Reviewer: V.Ureche MSC: 70F07 70F15 34C25 34D20 PDFBibTeX XMLCite \textit{G. N. Doubochine}, Celest. Mech. 33, 21--30 (1984; Zbl 0587.70008) Full Text: DOI
Davous, E.; Broucke, R. A manifold of periodic orbits in the planar general three-body problem with equal masses. (English) Zbl 0529.70006 Astron. Astrophys. 112, 305-320 (1982). MSC: 70F07 70F15 PDFBibTeX XMLCite \textit{E. Davous} and \textit{R. Broucke}, Astron. Astrophys. 112, 305--320 (1982; Zbl 0529.70006)
Bogdanov, R. I.; Samarov, K. L. Topology of the constant-energy manifolds of the isosceles three-body problem. (English. Russian original) Zbl 0512.70013 Sov. Math., Dokl. 26, 42-45 (1982); translation from Dokl. Akad. Nauk SSSR 265, 265-268 (1982). MSC: 70F07 70G10 70H05 37J99 PDFBibTeX XMLCite \textit{R. I. Bogdanov} and \textit{K. L. Samarov}, Sov. Math., Dokl. 26, 42--45 (1982; Zbl 0512.70013); translation from Dokl. Akad. Nauk SSSR 265, 265--268 (1982)
Arduini, C. Gravity gradient effects on cable booms systems. (English) Zbl 0483.70010 Aerotec. Missili Spazio 60, 187-192 (1981). MSC: 70E99 85A99 PDFBibTeX XMLCite \textit{C. Arduini}, Aerotec. Missili Spazio 60, 187--192 (1981; Zbl 0483.70010)
Lacomba, Ernesto A. Quadruple collision in the trapezoidal 4-body problem. (English) Zbl 0481.70010 Classical mechanics and dynamical systems, NSF-CBMS reg. Conf., Tufts Univ. 1979, Lect. Notes Pure Appl. Math. 70, 109-122 (1981). MSC: 70F10 PDFBibTeX XML
Stellmacher, I. Dynamical coupling of periodic systems (II): A particular case of homographic solution. (English) Zbl 0436.70017 Astron. Astrophys. 80, 301-307 (1979). MSC: 70F15 70F10 70K99 PDFBibTeX XMLCite \textit{I. Stellmacher}, Astron. Astrophys. 80, 301--307 (1979; Zbl 0436.70017)
Mazzanti, S. Solutions harmoniques du problème des trois corps restreint. (French) Zbl 0439.70010 Equadiff 78, Conv. int. su equazioni differenziali ordinarie ed equazioni funzionali, Firenze 1978, 277-285 (1978). MSC: 70F07 PDFBibTeX XML
Henon, M. A family of periodic solutions of the planar three-body problem, and their stability. (English) Zbl 0441.70011 Celestial Mech. 13, 267-285 (1976). MSC: 70F07 PDFBibTeX XMLCite \textit{M. Henon}, Celest. Mech. 13, 267--285 (1976; Zbl 0441.70011) Full Text: DOI
Hénon, Michel Exploration numérique du problème restreint. III, IV: Masses égales, orbites non périodiques. (French) Zbl 0151.35005 Bull. Astron., III. Sér. 1, No. 1, 57-79 (1966); 1, No. 2, 49-66 (1966). Reviewer: Th. Schmidt-Kaler MSC: 70F07 70K20 PDFBibTeX XMLCite \textit{M. Hénon}, Bull. Astron., III. Ser. 1, No. 1, 57--79 (1966; Zbl 0151.35005)
Hénon, Michel Exploration numérique du problème restreint. II: Masses égales, stabilité des orbites périodiques. (French) Zbl 0151.47502 Ann. Astrophys. 28, 992-1007 (1965). Reviewer: Th. Schmidt-Kaler MSC: 70F07 PDFBibTeX XML Full Text: Link
Hénon, Michel Exploration numérique du problème restreint. I: Masses égales, orbites périodiques. (French) Zbl 0138.23803 Ann. Astrophys. 28, 499-511 (1965). Reviewer: Th. Schmidt-Kaler MSC: 70F07 PDFBibTeX XML Full Text: Link