Yu, Guowei Connecting planar linear chains in the spatial \(N\)-body problem. (English) Zbl 1477.70016 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 4, 1115-1144 (2021). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{G. Yu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 4, 1115--1144 (2021; Zbl 1477.70016) Full Text: DOI arXiv
Janković, Marija R.; Dmitrašinović, V.; Šuvakov, Milovan A guide to hunting periodic three-body orbits with non-vanishing angular momentum. (English) Zbl 07678511 Comput. Phys. Commun. 250, Article ID 107052, 18 p. (2020). MSC: 70-XX 85-XX PDFBibTeX XMLCite \textit{M. R. Janković} et al., Comput. Phys. Commun. 250, Article ID 107052, 18 p. (2020; Zbl 07678511) Full Text: DOI
Calleja, Renato; Doedel, Eusebius; García-Azpeitia, Carlos Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the \(n\)-body problem. (English) Zbl 1396.70015 Celest. Mech. Dyn. Astron. 130, No. 7, Paper No. 48, 28 p. (2018). MSC: 70F10 70G60 PDFBibTeX XMLCite \textit{R. Calleja} et al., Celest. Mech. Dyn. Astron. 130, No. 7, Paper No. 48, 28 p. (2018; Zbl 1396.70015) Full Text: DOI arXiv
Yu, Guowei Spatial double choreographies of the Newtonian \(2n\)-body problem. (English) Zbl 1411.70017 Arch. Ration. Mech. Anal. 229, No. 1, 187-229 (2018). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F10 PDFBibTeX XMLCite \textit{G. Yu}, Arch. Ration. Mech. Anal. 229, No. 1, 187--229 (2018; Zbl 1411.70017) Full Text: DOI arXiv
Kwiecinski, James A.; Kovacs, Attila; Krause, Andrew L.; Planella, Ferran Brosa; Van Gorder, Robert A. Chaotic dynamics in the planar gravitational many-body problem with rigid body rotations. (English) Zbl 1390.70021 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 5, Article ID 1830013, 19 p. (2018). MSC: 70F10 70E15 70K55 70K44 PDFBibTeX XMLCite \textit{J. A. Kwiecinski} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 5, Article ID 1830013, 19 p. (2018; Zbl 1390.70021) Full Text: DOI arXiv
Ryckelynck, P.; Smoch, L. Quadratic choreographies. (English) Zbl 1290.49044 Appl. Numer. Math. 75, 108-122 (2014). MSC: 49K21 49K15 65L03 65L12 PDFBibTeX XMLCite \textit{P. Ryckelynck} and \textit{L. Smoch}, Appl. Numer. Math. 75, 108--122 (2014; Zbl 1290.49044) Full Text: DOI arXiv
Mateus, Eder; Venturelli, Andrea; Vidal, Claudio Quasiperiodic collision solutions in the spatial isosceles three-body problem with rotating axis of symmetry. (English) Zbl 1282.70015 Arch. Ration. Mech. Anal. 210, No. 1, 165-176 (2013). MSC: 70F07 70G75 PDFBibTeX XMLCite \textit{E. Mateus} et al., Arch. Ration. Mech. Anal. 210, No. 1, 165--176 (2013; Zbl 1282.70015) Full Text: DOI
Sbano, L.; Southall, J. Periodic solutions of the \(N\)-body problem with Lennard-Jones-type potentials. (English) Zbl 1257.70017 Dyn. Syst. 25, No. 1, 53-73 (2010). MSC: 70F10 37J45 PDFBibTeX XMLCite \textit{L. Sbano} and \textit{J. Southall}, Dyn. Syst. 25, No. 1, 53--73 (2010; Zbl 1257.70017) Full Text: DOI
Chenciner, A.; Féjoz, J. Unchained polygons and the \(N\) -body problem. (English) Zbl 1229.70035 Regul. Chaotic Dyn. 14, No. 1, 64-115 (2009). MSC: 70F10 34C25 PDFBibTeX XMLCite \textit{A. Chenciner} and \textit{J. Féjoz}, Regul. Chaotic Dyn. 14, No. 1, 64--115 (2009; Zbl 1229.70035) Full Text: DOI arXiv
Chen, Kuo-Chang; Lin, Yu-Chu On action-minimizing retrograde and prograde orbits of the three-body problem. (English) Zbl 1269.70015 Commun. Math. Phys. 291, No. 2, 403-441 (2009). MSC: 70F07 PDFBibTeX XMLCite \textit{K.-C. Chen} and \textit{Y.-C. Lin}, Commun. Math. Phys. 291, No. 2, 403--441 (2009; Zbl 1269.70015) Full Text: DOI
Hu, Xijun; Sun, Shanzhong Index and stability of symmetric periodic orbits in Hamiltonian systems with application to figure-eight orbit. (English) Zbl 1231.37031 Commun. Math. Phys. 290, No. 2, 737-777 (2009). MSC: 37J45 53D12 70F10 70H12 PDFBibTeX XMLCite \textit{X. Hu} and \textit{S. Sun}, Commun. Math. Phys. 290, No. 2, 737--777 (2009; Zbl 1231.37031) Full Text: DOI
Wulff, Claudia; Schebesch, Andreas Numerical continuation of Hamiltonian relative periodic orbits. (English) Zbl 1168.37014 J. Nonlinear Sci. 18, No. 4, 343-390 (2008). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G15 37J20 37M20 70H33 PDFBibTeX XMLCite \textit{C. Wulff} and \textit{A. Schebesch}, J. Nonlinear Sci. 18, No. 4, 343--390 (2008; Zbl 1168.37014) Full Text: DOI Link
Roberts, Gareth E. Linear stability analysis of the figure-eight orbit in the three-body problem. (English) Zbl 1128.70006 Ergodic Theory Dyn. Syst. 27, No. 6, 1947-1963 (2007). MSC: 70F07 PDFBibTeX XMLCite \textit{G. E. Roberts}, Ergodic Theory Dyn. Syst. 27, No. 6, 1947--1963 (2007; Zbl 1128.70006) Full Text: DOI
Ferrario, Davide L. Transitive decomposition of symmetry groups for the \(n\)-body problem. (English) Zbl 1114.70013 Adv. Math. 213, No. 2, 763-784 (2007). MSC: 70F10 70K42 70G75 PDFBibTeX XMLCite \textit{D. L. Ferrario}, Adv. Math. 213, No. 2, 763--784 (2007; Zbl 1114.70013) Full Text: DOI arXiv
Nauenberg, Michael Continuity and stability of families of figure eight orbits with finite angular momentum. (English) Zbl 1162.70009 Celest. Mech. Dyn. Astron. 97, No. 1, 1-15 (2007). MSC: 70F07 70F10 PDFBibTeX XMLCite \textit{M. Nauenberg}, Celest. Mech. Dyn. Astron. 97, No. 1, 1--15 (2007; Zbl 1162.70009) Full Text: DOI arXiv
Terracini, S. On the variational approach to the periodic \(n\)-body problem. (English) Zbl 1219.70030 Celest. Mech. Dyn. Astron. 95, No. 1-4, 3-25 (2006). MSC: 70F10 37J45 58E40 70F07 70H12 70H30 PDFBibTeX XMLCite \textit{S. Terracini}, Celest. Mech. Dyn. Astron. 95, No. 1--4, 3--25 (2006; Zbl 1219.70030) Full Text: DOI
Ferrario, Davide L. Symmetry groups and non-planar collisionless action-minimizing solutions of the three-body problem in three-dimensional space. (English) Zbl 1138.70322 Arch. Ration. Mech. Anal. 179, No. 3, 389-412 (2006). MSC: 70F07 70G65 PDFBibTeX XMLCite \textit{D. L. Ferrario}, Arch. Ration. Mech. Anal. 179, No. 3, 389--412 (2006; Zbl 1138.70322) Full Text: DOI arXiv
Chenciner, Alain; Féjoz, Jacques The equation for the vertical variations of a relative equilibrium as a source of new periodic solutions of the \(N\) body problem. (L’équation aux variations verticales d’un équilibre relatif comme source de nouvelles solutions périodiques du problème des \(N\) corps.) (French. Abridged English version) Zbl 1066.70008 C. R., Math., Acad. Sci. Paris 340, No. 8, 593-598 (2005). MSC: 70F10 PDFBibTeX XMLCite \textit{A. Chenciner} and \textit{J. Féjoz}, C. R., Math., Acad. Sci. Paris 340, No. 8, 593--598 (2005; Zbl 1066.70008) Full Text: DOI