Walther, J. H. An influence matrix particle-particle particle-mesh algorithm with exact particle-particle correction. (English) Zbl 1063.78026 J. Comput. Phys. 184, No. 2, 670-678 (2003). Reviewer: Ursula van Rienen (Rostock) MSC: 78M25 78A30 PDFBibTeX XMLCite \textit{J. H. Walther}, J. Comput. Phys. 184, No. 2, 670--678 (2003; Zbl 1063.78026) Full Text: DOI
Dorband, Ernst Nils; Hemsendorf, Marc; Merritt, David Systolic and hyper-systolic algorithms for the gravitational \(N\)-body problem, with an application to Brownian motion. (English) Zbl 1015.83004 J. Comput. Phys. 185, No. 2, 484-511 (2003). MSC: 83-08 83C10 68W40 65Y10 PDFBibTeX XMLCite \textit{E. N. Dorband} et al., J. Comput. Phys. 185, No. 2, 484--511 (2003; Zbl 1015.83004) Full Text: DOI
McCord, Christopher; Meyer, Kenneth R.; Offin, Daniel Are Hamiltonian flows geodesic flows? (English) Zbl 1007.37039 Trans. Am. Math. Soc. 355, No. 3, 1237-1250 (2003). Reviewer: Ursula Hamenstädt (Bonn) MSC: 37N05 34C15 37J45 37C27 PDFBibTeX XMLCite \textit{C. McCord} et al., Trans. Am. Math. Soc. 355, No. 3, 1237--1250 (2003; Zbl 1007.37039) Full Text: DOI
Newton, Paul K.; Khushalani, Bharat Integrable decomposition methods and ensemble averaging for non-integrable \(N\)-vortex problems. (English) Zbl 1083.76565 J. Turbul. 3, Paper No. 54, 8 p. (2002). MSC: 76M23 70-08 70F10 PDFBibTeX XMLCite \textit{P. K. Newton} and \textit{B. Khushalani}, J. Turbul. 3, Paper No. 54, 8 p. (2002; Zbl 1083.76565) Full Text: DOI
Zhang, Shiqing A periodic solution for the planar \((n+1)\)-body problem. (English) Zbl 1076.34051 Int. J. Math. Game Theory Algebra 12, No. 6, 515-519 (2002). MSC: 34C25 37J45 70F10 PDFBibTeX XMLCite \textit{S. Zhang}, Int. J. Math. Game Theory Algebra 12, No. 6, 515--519 (2002; Zbl 1076.34051)
Kotovych, Oksana; Bowman, John C. An exactly conservative integrator for the \(n\)-body problem. (English) Zbl 1168.70309 J. Phys. A, Math. Gen. 35, No. 37, 7849-7863 (2002). Reviewer: Qin Mengzhao (Beijing) MSC: 70F10 65P10 70F15 70-08 65L05 PDFBibTeX XMLCite \textit{O. Kotovych} and \textit{J. C. Bowman}, J. Phys. A, Math. Gen. 35, No. 37, 7849--7863 (2002; Zbl 1168.70309) Full Text: DOI arXiv
Matveenko, A. V.; Czerwonko, J. Hyper-trigonometry of the particle triangle. II. (English) Zbl 1056.81073 J. Phys. A, Math. Gen. 35, No. 39, 8267-8275 (2002). Reviewer: Vladimir V. Kisil (Leeds) MSC: 81U10 33C80 70F07 PDFBibTeX XMLCite \textit{A. V. Matveenko} and \textit{J. Czerwonko}, J. Phys. A, Math. Gen. 35, No. 39, 8267--8275 (2002; Zbl 1056.81073) Full Text: DOI
Mikkola, Seppo; Aarseth, Sverre A time-transformed leapfrog scheme. Integration of few-body systems with large mass ratios. (English) Zbl 1026.70003 Celest. Mech. Dyn. Astron. 84, No. 4, 343-354 (2002). MSC: 70-08 70F10 PDFBibTeX XMLCite \textit{S. Mikkola} and \textit{S. Aarseth}, Celest. Mech. Dyn. Astron. 84, No. 4, 343--354 (2002; Zbl 1026.70003) Full Text: DOI
Andreu, M. A. Dynamics in the center manifold around \(L_2\) in the quasi-bicircular problem. (English) Zbl 1027.70016 Celest. Mech. Dyn. Astron. 84, No. 2, 105-133 (2002). MSC: 70F10 70F15 37N05 PDFBibTeX XMLCite \textit{M. A. Andreu}, Celest. Mech. Dyn. Astron. 84, No. 2, 105--133 (2002; Zbl 1027.70016) Full Text: DOI
Scheeres, D. J. Stability in the full two-body problem. (English) Zbl 1027.70012 Celest. Mech. Dyn. Astron. 83, No. 1-4, 155-169 (2002). MSC: 70F05 70K20 70F15 PDFBibTeX XMLCite \textit{D. J. Scheeres}, Celest. Mech. Dyn. Astron. 83, No. 1--4, 155--169 (2002; Zbl 1027.70012) Full Text: DOI
Alfaro, Felipe; Pérez-Chavela, Ernesto Families of continua of central configurations in charged problems. (English) Zbl 1045.70009 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 9, No. 4, 463-475 (2002). MSC: 70F10 78A35 PDFBibTeX XMLCite \textit{F. Alfaro} and \textit{E. Pérez-Chavela}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 9, No. 4, 463--475 (2002; Zbl 1045.70009)
Leimkuhler, Ben An efficient multiple time-scale reversible integrator for the gravitational \(N\)-body problem. (English) Zbl 1014.65135 Appl. Numer. Math. 43, No. 1-2, 175-190 (2002). MSC: 65P10 37J25 85A05 70E55 70F15 PDFBibTeX XMLCite \textit{B. Leimkuhler}, Appl. Numer. Math. 43, No. 1--2, 175--190 (2002; Zbl 1014.65135) Full Text: DOI
Sadetov, S. T. On the regular reduction of the \(n\)-dimensional problem of \(N+1\) bodies to Euler-Poincaré equations on the Lie algebra \(sp(2N)\). (English) Zbl 1011.70011 Regul. Chaotic Dyn. 7, No. 3, 337-350 (2002). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 70F10 70G65 PDFBibTeX XMLCite \textit{S. T. Sadetov}, Regul. Chaotic Dyn. 7, No. 3, 337--350 (2002; Zbl 1011.70011) Full Text: EuDML
Beylkin, Gregory; Cramer, Robert A multiresolution approach to regularization of singular operators and fast summation. (English) Zbl 1019.65101 SIAM J. Sci. Comput. 24, No. 1, 81-117 (2002). Reviewer: Wanguo Zhang (Shanghai) MSC: 65R20 45E05 65T60 70F10 PDFBibTeX XMLCite \textit{G. Beylkin} and \textit{R. Cramer}, SIAM J. Sci. Comput. 24, No. 1, 81--117 (2002; Zbl 1019.65101) Full Text: DOI
Mo, Zeyao; Zhang, Jinglin; Cai, Qingdong Dynamic load balancing for short-range parallel molecular dynamics simulations. (English) Zbl 1011.65037 Int. J. Comput. Math. 79, No. 2, 165-177 (2002). MSC: 65L05 70F10 34A34 65Y05 PDFBibTeX XMLCite \textit{Z. Mo} et al., Int. J. Comput. Math. 79, No. 2, 165--177 (2002; Zbl 1011.65037) Full Text: DOI
Roberts, Gareth E. Linear stability of the elliptic Lagrangian triangle solutions in the three-body problem. (English) Zbl 1181.70015 J. Differ. Equations 182, No. 1, 191-218 (2002). MSC: 70F07 PDFBibTeX XMLCite \textit{G. E. Roberts}, J. Differ. Equations 182, No. 1, 191--218 (2002; Zbl 1181.70015) Full Text: DOI
Chenciner, A. Action minimizing solutions of the Newtonian \(n\)-body problem: From homology to symmetry. (English) Zbl 1136.70310 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor (ISBN 7-04-008690-5/3 vol. set). 279-294 (2002). MSC: 70F07 70F10 70F16 34C14 34C25 PDFBibTeX XMLCite \textit{A. Chenciner}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 279--294 (2002; Zbl 1136.70310) Full Text: arXiv
Wang, Qiudong The Hill’s region of the four-body problem. (English) Zbl 1020.70004 Chenciner, Alain (ed.) et al., Celestial mechanics. Dedicated to Donald Saari for his 60th birthday. Proceedings of an international conference, Northwestern Univ., Evanston, IL, USA, December 15-19, 1999. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 292, 239-266 (2002). MSC: 70F10 PDFBibTeX XMLCite \textit{Q. Wang}, Contemp. Math. 292, 239--266 (2002; Zbl 1020.70004)
Chenciner, Alain Action minimizing periodic orbits in the Newtonian \(n\)-body problem. (English) Zbl 1026.70017 Chenciner, Alain (ed.) et al., Celestial mechanics. Dedicated to Donald Saari for his 60th birthday. Proceedings of an international conference, Northwestern Univ., Evanston, IL, USA, December 15-19, 1999. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 292, 71-90 (2002). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 70F10 PDFBibTeX XMLCite \textit{A. Chenciner}, Contemp. Math. 292, 71--90 (2002; Zbl 1026.70017)
Sweatman, Winston L. The symmetrical one-dimensional Newtonian four-body problem: A numerical investigation. (English) Zbl 1014.70012 Celest. Mech. Dyn. Astron. 82, No. 2, 179-201 (2002). MSC: 70F10 70-08 PDFBibTeX XMLCite \textit{W. L. Sweatman}, Celest. Mech. Dyn. Astron. 82, No. 2, 179--201 (2002; Zbl 1014.70012) Full Text: DOI
Khentov, A. On the principle of strong interaction for the resonant orbital motions of some celestial bodies. (English) Zbl 1012.70008 Math. Comput. Simul. 58, No. 4-6, 423-434 (2002). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{A. Khentov}, Math. Comput. Simul. 58, No. 4--6, 423--434 (2002; Zbl 1012.70008) Full Text: DOI
Knauf, Andreas The \(n\)-centre problem of celestial mechanics for large energies. (English) Zbl 1010.70011 J. Eur. Math. Soc. (JEMS) 4, No. 1, 1-114 (2002). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 70F10 70F15 37N05 PDFBibTeX XMLCite \textit{A. Knauf}, J. Eur. Math. Soc. (JEMS) 4, No. 1, 1--114 (2002; Zbl 1010.70011) Full Text: DOI arXiv
Pauca, V. P.; Rodriguez, A. F.; Sun, X.; Trivedi, K. S. A methodology towards automatic implementation of \(N\)-body algorithms. (English) Zbl 1009.70002 Appl. Numer. Math. 40, No. 1-2, 3-21 (2002). Reviewer: Qiao Wang (Nanjing) MSC: 70-08 70F10 65T99 PDFBibTeX XMLCite \textit{V. P. Pauca} et al., Appl. Numer. Math. 40, No. 1--2, 3--21 (2002; Zbl 1009.70002) Full Text: DOI
Kuzmina, R. P. The solar system and a quasiregular Cauchy problem. (English. Russian original) Zbl 1051.70516 Mosc. Univ. Mech. Bull. 56, No. 5, 12-24 (2001); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 5, 32-43 (2001). Reviewer: V. I. Guljaev (Kyïv) MSC: 70F10 70F15 34A12 34E05 PDFBibTeX XMLCite \textit{R. P. Kuzmina}, Mosc. Univ. Mech. Bull. 56, No. 5, 12--24 (2001; Zbl 1051.70516); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 5, 32--43 (2001)
Wang, Q. D. Power series solutions and integral manifold of the \(n\)-body problem. (English) Zbl 1011.70010 Regul. Chaotic Dyn. 6, No. 4, 433-442 (2001). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 70F10 70F07 70-08 PDFBibTeX XMLCite \textit{Q. D. Wang}, Regul. Chaotic Dyn. 6, No. 4, 433--442 (2001; Zbl 1011.70010)
Zhang, Shiqing; Zhou, Qing Geometric characterization for the least Lagrangian action of \(n\)-body problems. (English) Zbl 1028.70011 Sci. China, Ser. A 44, No. 1, 15-20 (2001). MSC: 70F10 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{Q. Zhou}, Sci. China, Ser. A 44, No. 1, 15--20 (2001; Zbl 1028.70011) Full Text: DOI
Anderson, Richard; Tjaden, Brian The inverse nearest neighbor problem with astrophysical applications. (English) Zbl 1006.65021 Kosaraju, Deborah, Proceedings of the 12th annual ACM-SIAM symposium on discrete algorithms. Washington, DC, USA, January 7-9, 2001. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 767-768 (2001). MSC: 65D18 85A05 70F10 70F15 85-08 PDFBibTeX XMLCite \textit{R. Anderson} and \textit{B. Tjaden}, in: Proceedings of the 12th annual ACM-SIAM symposium on discrete algorithms, SODA 2001, Washington, DC, USA, January 7--9, 2001. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; New York, NY: ACM, Association for Computing Machinery. 767--768 (2001; Zbl 1006.65021)
Matveenko, A. V.; Czerwonko, J. Hyper-trigonometry of the particle triangle. (English) Zbl 1008.81095 J. Phys. A, Math. Gen. 34, No. 42, 9057-9064 (2001). Reviewer: Vladimir V.Kisil (Leeds) MSC: 81U10 PDFBibTeX XMLCite \textit{A. V. Matveenko} and \textit{J. Czerwonko}, J. Phys. A, Math. Gen. 34, No. 42, 9057--9064 (2001; Zbl 1008.81095) Full Text: DOI
Gasaneo, G.; Ovchinnikov, S.; Macek, J. H. A Kontorovich-Lebedev representation for zero-range potential eigensolutions. (English) Zbl 0997.81128 J. Phys. A, Math. Gen. 34, No. 42, 8941-8954 (2001). Reviewer: Viorel Iftimie (Bucureşti) MSC: 81U10 35Q40 35C15 81Q10 PDFBibTeX XMLCite \textit{G. Gasaneo} et al., J. Phys. A, Math. Gen. 34, No. 42, 8941--8954 (2001; Zbl 0997.81128) Full Text: DOI
Kotsireas, Ilias S. Central configurations in the Newtonian \(N\)-body problem of celestial mechanics. (English) Zbl 1057.70008 Green, Edward L. (ed.) et al., Symbolic computation: Solving equations in algebra, geometry, and engineering. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 11–15, 2000. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2679-4). Contemp. Math. 286, 71-98 (2001). Reviewer: Manuel Calvo (Zaragoza) MSC: 70F10 70-08 68W30 PDFBibTeX XMLCite \textit{I. S. Kotsireas}, Contemp. Math. 286, 71--98 (2001; Zbl 1057.70008)
de Castro, Antonio S.; Vilela, Cristiane A. On the regular-geometric-figure solution to the \(N\)-body problem. (English) Zbl 1011.70012 Eur. J. Phys. 22, No. 5, 487-490 (2001). MSC: 70F10 PDFBibTeX XMLCite \textit{A. S. de Castro} and \textit{C. A. Vilela}, Eur. J. Phys. 22, No. 5, 487--490 (2001; Zbl 1011.70012) Full Text: DOI arXiv
Kalvouridis, Telemachus J. Multiple periodic orbits in the ring problem: Families of triple periodic orbits. (English) Zbl 1016.70009 Astrophys. Space Sci. 277, No. 4, 579-614 (2001). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{T. J. Kalvouridis}, Astrophys. Space Sci. 277, No. 4, 579--614 (2001; Zbl 1016.70009) Full Text: DOI
Holder, Thomas; Leimkuhler, Ben; Reich, Sebastian Explicit variable step-size and time-reversible integration. (English) Zbl 0991.65060 Appl. Numer. Math. 39, No. 3-4, 367-377 (2001). MSC: 65L05 34A34 65L50 70F10 PDFBibTeX XMLCite \textit{T. Holder} et al., Appl. Numer. Math. 39, No. 3--4, 367--377 (2001; Zbl 0991.65060) Full Text: DOI
Bang, Dominique; Elmabsout, Badaoui Relative equilibrium of polygon type. (Configurations polygonales en équilibre relatif.) (French. Abridged English version) Zbl 0999.70011 C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 329, No. 4, 243-248 (2001). MSC: 70F10 PDFBibTeX XMLCite \textit{D. Bang} and \textit{B. Elmabsout}, C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 329, No. 4, 243--248 (2001; Zbl 0999.70011) Full Text: DOI
Moeckel, Richard Generic finiteness for Dziobek configurations. (English) Zbl 0985.70009 Trans. Am. Math. Soc. 353, No. 11, 4673-4686 (2001). MSC: 70F10 70F15 37N05 PDFBibTeX XMLCite \textit{R. Moeckel}, Trans. Am. Math. Soc. 353, No. 11, 4673--4686 (2001; Zbl 0985.70009) Full Text: DOI
Greenspan, Donald Molecular study of turbulence in three-dimensional cavity flow. (English) Zbl 0993.76070 Comput. Methods Appl. Mech. Eng. 190, No. 32-33, 4231-4244 (2001). MSC: 76M28 76F10 82B21 PDFBibTeX XMLCite \textit{D. Greenspan}, Comput. Methods Appl. Mech. Eng. 190, No. 32--33, 4231--4244 (2001; Zbl 0993.76070) Full Text: DOI
Calogero, Francesco The neatest many-body problem amenable to exact treatments (a “goldfish”?). (English) Zbl 0990.70010 Physica D 152-153, 78-84 (2001). MSC: 70F10 70-02 70H06 PDFBibTeX XMLCite \textit{F. Calogero}, Physica D 152--153, 78--84 (2001; Zbl 0990.70010) Full Text: DOI
Moulahi, Ammar Study of the periodic solutions of some \(n\)-body-type problems. (English) Zbl 0987.70011 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 2, 137-168 (2001). Reviewer: Ll.G.Chambers (Bangor) MSC: 70F10 34C25 PDFBibTeX XMLCite \textit{A. Moulahi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 2, 137--168 (2001; Zbl 0987.70011) Full Text: DOI
Gabern, Frederic; Jorba, Àngel A restricted four-body model for the dynamics near the Lagrangian points of the Sun-Jupiter system. (English) Zbl 0996.70009 Discrete Contin. Dyn. Syst., Ser. B 1, No. 2, 143-182 (2001). Reviewer: Gasanbek Arazov (Baku) MSC: 70F10 70-08 70F15 PDFBibTeX XMLCite \textit{F. Gabern} and \textit{À. Jorba}, Discrete Contin. Dyn. Syst., Ser. B 1, No. 2, 143--182 (2001; Zbl 0996.70009) Full Text: DOI
Zhang, Shiqing; Zhou, Qing A noncollision periodic solution for \(N\)-body problems. (English) Zbl 0991.70011 J. Math. Anal. Appl. 257, No. 2, 332-342 (2001). MSC: 70F10 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{Q. Zhou}, J. Math. Anal. Appl. 257, No. 2, 332--342 (2001; Zbl 0991.70011) Full Text: DOI
Moser, Jürgen [Holmes, Philip J.] Stable and random motions in dynamical systems. With special emphasis on celestial mechanics. With a new foreword by Philip J. Holmes. 3rd pbk-ed. 3rd pbk-ed. (English) Zbl 0991.70002 Princeton, NJ: Prineton University Press. 198 p. (2001). Reviewer: David Martin de Diego (Madrid) MSC: 70-02 70F15 37N05 37Cxx PDFBibTeX XMLCite \textit{J. Moser}, Stable and random motions in dynamical systems. With special emphasis on celestial mechanics. With a new foreword by Philip J. Holmes. 3rd pbk-ed. Princeton, NJ: Prineton University Press (2001; Zbl 0991.70002)
Zhang, Shiqing Sundman’s inequalities in N-body problems and their applications. (English) Zbl 0977.70008 Math. Inequal. Appl. 4, No. 1, 85-91 (2001). Reviewer: Gasanbek Arazov (Baku) MSC: 70F10 PDFBibTeX XMLCite \textit{S. Zhang}, Math. Inequal. Appl. 4, No. 1, 85--91 (2001; Zbl 0977.70008)
Basu-Mallick, B.; Kundu, A. Exact solution of a many-body problem with nearest and next-nearest neighbour interactions. (English) Zbl 0972.70011 Phys. Lett., A 279, No. 1-2, 29-32 (2001). MSC: 70F10 70H06 PDFBibTeX XMLCite \textit{B. Basu-Mallick} and \textit{A. Kundu}, Phys. Lett., A 279, No. 1--2, 29--32 (2001; Zbl 0972.70011) Full Text: DOI arXiv
Liu, Wenzhong; Chen, Li A discussion on the virial theorem. (Chinese) Zbl 1080.70512 J. Beijing Norm. Univ., Nat. Sci. 36, No. 2, 195-196, 197 (2000). MSC: 70F10 PDFBibTeX XMLCite \textit{W. Liu} and \textit{L. Chen}, J. Beijing Norm. Univ., Nat. Sci. 36, No. 2, 195--196, 197 (2000; Zbl 1080.70512)
Ciotti, Luca Lecture notes on stellar dynamics. (English) Zbl 1065.85001 Appunti. Pisa: Scuola Normale Superiore. 160 p. (2000). Reviewer: Gasanbek T. Arazov (Baku) MSC: 85-01 85A05 PDFBibTeX XMLCite \textit{L. Ciotti}, Lecture notes on stellar dynamics. Pisa: Scuola Normale Superiore (2000; Zbl 1065.85001)
Lusanna, L. The \(N\)-body problem in tetrad gravity: A first step towards a unified description of the four interactions. (English) Zbl 0995.83049 Casciaro, B. (ed.) et al., Recent developments in general relativity. Proceedings of the 13th Italian conference on general relativity and gravitational physics, Cala Corvino-Monopoli, (Bari), Italy, September 21-25, 1998. Milan: Springer. 149-172 (2000). MSC: 83D05 83C10 83A05 PDFBibTeX XMLCite \textit{L. Lusanna}, in: Recent developments in general relativity. Proceedings of the 13th Italian conference on general relativity and gravitational physics, Cala Corvino-Monopoli, (Bari), Italy, September 21--25, 1998. Milan: Springer. 149--172 (2000; Zbl 0995.83049) Full Text: arXiv
Essén, Hanno On the equilateral triangle solution to the three-body problem. (English) Zbl 0998.70008 Eur. J. Phys. 21, No. 6, 579-590 (2000). MSC: 70F07 70F10 PDFBibTeX XMLCite \textit{H. Essén}, Eur. J. Phys. 21, No. 6, 579--590 (2000; Zbl 0998.70008) Full Text: DOI
Roberts, Gareth E. Linear stability in the \(1+N\)-gon relative equilibrium. (English) Zbl 1022.70007 Delgado, J. (ed.) et al., Hamiltonian systems and celestial mechanics. HAMSYS-98. Proceedings of the 3rd international symposium, Pátzcuaro, Michoacán, Mexico, December 7-11, 1998. Singapore: World Scientific. World Sci. Monogr. Ser. Math. 6, 303-330 (2000). MSC: 70F10 70H14 70F15 PDFBibTeX XMLCite \textit{G. E. Roberts}, World Sci. Monogr. Ser. Math. 6, 303--330 (2000; Zbl 1022.70007) Full Text: DOI
Benet, L.; Seligman, T. H. Planetary rings with shepherds. (English) Zbl 1037.70011 Delgado, J. (ed.) et al., Hamiltonian systems and celestial mechanics. HAMSYS-98. Proceedings of the 3rd international symposium, Pátzcuaro, Michoacán, Mexico, December 7–11, 1998. Singapore: World Scientific (ISBN 981-02-4463-0). World Sci. Monogr. Ser. Math. 6, 20-31 (2000). Reviewer: Gasanbek Arazov (Baku) MSC: 70F15 70F10 PDFBibTeX XMLCite \textit{L. Benet} and \textit{T. H. Seligman}, World Sci. Monogr. Ser. Math. 6, 20--31 (2000; Zbl 1037.70011) Full Text: DOI
Shi, He; Zou, Fengmei Square and rhombus central configurations. (English) Zbl 0989.70008 Syst. Sci. Math. Sci. 13, No. 1, 74-84 (2000). MSC: 70F10 PDFBibTeX XMLCite \textit{H. Shi} and \textit{F. Zou}, Syst. Sci. Math. Sci. 13, No. 1, 74--84 (2000; Zbl 0989.70008)
Merman, G. A. Stability of oscillating canonical systems in nondegenerate case with application to celestial mechanics. (English) Zbl 1172.70307 Nonlinear Anal., Real World Appl. 1, No. 3, 363-408 (2000). Reviewer: Igor Gumowski (Thoiry) MSC: 70K20 70F15 70F10 PDFBibTeX XMLCite \textit{G. A. Merman}, Nonlinear Anal., Real World Appl. 1, No. 3, 363--408 (2000; Zbl 1172.70307) Full Text: DOI
Ziglin, S. L. Integrals in involution for groups of linear symplectic transformations and natural mechanical systems. (English. Russian original) Zbl 0995.37042 Funct. Anal. Appl. 34, No. 3, 179-187 (2000); translation from Funkts. Anal. Prilozh. 34, No. 3, 26-36 (2000). Reviewer: Iskander A.Taimanov (Novosibirsk) MSC: 37J35 70H05 70F10 PDFBibTeX XMLCite \textit{S. L. Ziglin}, Funct. Anal. Appl. 34, No. 3, 179--187 (2000; Zbl 0995.37042); translation from Funkts. Anal. Prilozh. 34, No. 3, 26--36 (2000) Full Text: DOI
Chenciner, Alain; Venturelli, Andrea Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: ‘Hip-hop’ orbits. (Minima de l’intégrale d’action du problème newtonien de 4 corps de masses égales dans \(R^3\): Orbites ‘hip-hop’.) (French) Zbl 0984.70009 Celest. Mech. Dyn. Astron. 77, No. 2, 139-152 (2000). MSC: 70F10 PDFBibTeX XMLCite \textit{A. Chenciner} and \textit{A. Venturelli}, Celest. Mech. Dyn. Astron. 77, No. 2, 139--152 (2000; Zbl 0984.70009) Full Text: DOI
Tsui, K. H. Celestial \(n\)-body coupling in the lunar orbit theory. (English) Zbl 0982.70010 Celest. Mech. Dyn. Astron. 77, No. 2, 93-105 (2000). MSC: 70F15 70F10 PDFBibTeX XMLCite \textit{K. H. Tsui}, Celest. Mech. Dyn. Astron. 77, No. 2, 93--105 (2000; Zbl 0982.70010) Full Text: DOI
Albouy, Alain; Moeckel, Richard The inverse problem for collinear central configurations. (English) Zbl 0981.70012 Celest. Mech. Dyn. Astron. 77, No. 2, 77-91 (2000). MSC: 70F17 70F10 PDFBibTeX XMLCite \textit{A. Albouy} and \textit{R. Moeckel}, Celest. Mech. Dyn. Astron. 77, No. 2, 77--91 (2000; Zbl 0981.70012) Full Text: DOI
Mann, R. B.; Potvin, G.; Raiteri, M. Energy for \(N\)-body motion in two-dimensional gravity. (English) Zbl 0968.83030 Classical Quantum Gravity 17, No. 23, 4941-4958 (2000). MSC: 83C80 83C40 83C10 PDFBibTeX XMLCite \textit{R. B. Mann} et al., Classical Quantum Gravity 17, No. 23, 4941--4958 (2000; Zbl 0968.83030) Full Text: DOI arXiv
Roberts, Gareth E. Existence and stability of relative equilibria in the \(n\)-body problem. (English) Zbl 1003.70010 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 30-35 (2000). MSC: 70F10 70K20 PDFBibTeX XMLCite \textit{G. E. Roberts}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 30--35 (2000; Zbl 1003.70010)
McCord, Christopher On the homology of the integral manifolds in celestial mechanics. (English) Zbl 0966.37026 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 20-25 (2000). MSC: 37J05 70F15 37J20 55N99 PDFBibTeX XMLCite \textit{C. McCord}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 20--25 (2000; Zbl 0966.37026)
Martínez, Regina; Simó, Carles; Susín, Antoni Regularizable and non-regularizable collisions in \(N\)-body problems. (English) Zbl 1051.70517 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1–7, 1999. Vol. 1. Singapore: World Scientific (ISBN 981-02-4359-6/hbk). 12-19 (2000). Reviewer: Octavian Mustafa (Craiova) MSC: 70F10 70F16 PDFBibTeX XMLCite \textit{R. Martínez} et al., in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 12--19 (2000; Zbl 1051.70517)
Leimkuhler, Ben Adaptive geometric integrators based on splitting, scaling, and switching. (English) Zbl 0963.65128 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 988-993 (2000). MSC: 65P10 37M15 37J15 PDFBibTeX XMLCite \textit{B. Leimkuhler}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 2. Singapore: World Scientific. 988--993 (2000; Zbl 0963.65128)
Greenspan, D. Particle simulation in contact mechanics of a bouncing elastic ball. (English) Zbl 0964.70003 Math. Comput. Modelling 32, No. 7-8, 803-812 (2000). MSC: 70-08 70F35 74M15 70F10 PDFBibTeX XMLCite \textit{D. Greenspan}, Math. Comput. Modelling 32, No. 7--8, 803--812 (2000; Zbl 0964.70003) Full Text: DOI
Butikov, Eugene I. Regular Keplerian motions in classical many-body systems. (English) Zbl 0969.70010 Eur. J. Phys. 21, No. 5, 465-482 (2000). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{E. I. Butikov}, Eur. J. Phys. 21, No. 5, 465--482 (2000; Zbl 0969.70010) Full Text: DOI Link
Martínez, Regina; Simó, Carles The degree of differentiability of the regularization of simultaneous binary collisions in some \(N\)-body problems. (English) Zbl 0983.70011 Nonlinearity 13, No. 6, 2107-2130 (2000). MSC: 70F10 70F16 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{C. Simó}, Nonlinearity 13, No. 6, 2107--2130 (2000; Zbl 0983.70011) Full Text: DOI
Arioli, Gianni; Gazzola, Filippo; Terracini, Susanna Minimization properties of Hill’s orbits and applications to some \(N\)-body problems. (English) Zbl 0977.70006 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 5, 617-650 (2000). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{G. Arioli} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 5, 617--650 (2000; Zbl 0977.70006) Full Text: DOI Numdam EuDML
Zhang, Shiqing The simultaneous collision orbits for \(N\)-body problems with quasihomogeneous potentials. (English) Zbl 0968.70010 Bates, Peter W. (ed.) et al., Differential equations and computational simulations. Proceedings of the international conference, Chengdu, China, June 13-18, 1999. Singapore: World Scientific. 482-488 (2000). MSC: 70F10 70F16 PDFBibTeX XMLCite \textit{S. Zhang}, in: Differential equations and computational simulations. Proceedings of the international conference, Chengdu, China, June 13--18, 1999. Singapore: World Scientific. 482--488 (2000; Zbl 0968.70010)
Damak, Mondher; Georgescu, Vladimir \(C^*\)-cross products and a generalized quantum mechanical \(N\)-body problem. (English) Zbl 0968.47035 Electron. J. Differ. Equ. 2000, Conf. 04, 51-69 (2000). MSC: 47L65 46L55 81Q10 81R15 81V70 46L60 46N50 47L90 PDFBibTeX XMLCite \textit{M. Damak} and \textit{V. Georgescu}, Electron. J. Differ. Equ. 2000, 51--69 (2000; Zbl 0968.47035) Full Text: EuDML EMIS
Betsch, P.; Steinmann, P. Conservation properties of a time FE method. I: Time-stepping schemes for \(N\)-body problems. (English) Zbl 0964.70002 Int. J. Numer. Methods Eng. 49, No. 5, 599-638 (2000). MSC: 70-08 70F10 65L60 PDFBibTeX XMLCite \textit{P. Betsch} and \textit{P. Steinmann}, Int. J. Numer. Methods Eng. 49, No. 5, 599--638 (2000; Zbl 0964.70002) Full Text: DOI
Grebenikov, E. A.; Kozak-Skovorodkin, D.; Yakubyak, M. A stability problem for homographical solutions in certain Hamiltonian systems of celestial dynamics. (Russian. English summary) Zbl 1054.70015 Tr. Inst. Mat., Minsk 6, 61-64 (2000). Reviewer: Sergei V. Rogosin (Minsk) MSC: 70H14 PDFBibTeX XMLCite \textit{E. A. Grebenikov} et al., Tr. Inst. Mat., Minsk 6, 61--64 (2000; Zbl 1054.70015)
Němec, Jan An alternative proof of Painlevé’s theorem. (English) Zbl 1058.70015 Appl. Math., Praha 45, No. 4, 291-299 (2000). Reviewer: Josef Kofroň (Praha) MSC: 70F10 70F16 PDFBibTeX XMLCite \textit{J. Němec}, Appl. Math., Praha 45, No. 4, 291--299 (2000; Zbl 1058.70015) Full Text: DOI EuDML
Julliard Tosel, Emmanuelle A new non-integrability criterion for a meromorphic Hamiltonian. (Un nouveau critère de non-intégrabilité méromorphe d’un Hamiltonien.) (French. Abridged English version) Zbl 0971.70019 C. R. Acad. Sci., Paris, Sér. I, Math. 330, No. 12, 1097-1102 (2000). MSC: 70H07 70F10 37N05 PDFBibTeX XMLCite \textit{E. Julliard Tosel}, C. R. Acad. Sci., Paris, Sér. I, Math. 330, No. 12, 1097--1102 (2000; Zbl 0971.70019) Full Text: DOI
Glass, Kathryn Symmetry and bifurcations of planar configurations of the \(N\)-body and other problems. (English) Zbl 0984.70010 Dyn. Stab. Syst. 15, No. 2, 59-73 (2000). Reviewer: Jair Koiller (Rio de Janeiro) MSC: 70F10 70K50 PDFBibTeX XMLCite \textit{K. Glass}, Dyn. Stab. Syst. 15, No. 2, 59--73 (2000; Zbl 0984.70010) Full Text: DOI
Mitchell, Kevin A.; Littlejohn, Robert G. Kinematic orbits and the structure of the internal space for systems of five or more bodies. (English) Zbl 0985.81136 J. Phys. A, Math. Gen. 33, No. 7, 1395-1416 (2000). MSC: 81V55 70F10 70F99 70G99 PDFBibTeX XMLCite \textit{K. A. Mitchell} and \textit{R. G. Littlejohn}, J. Phys. A, Math. Gen. 33, No. 7, 1395--1416 (2000; Zbl 0985.81136) Full Text: DOI arXiv
Zhang, Shiqing The simultaneous collision orbits for \(N\)-body problems with quasihomogeneous potentials. (English) Zbl 0961.70012 Int. J. Math. Game Theory Algebra 10, No. 3, 169-174 (2000). MSC: 70F16 70F10 PDFBibTeX XMLCite \textit{S. Zhang}, Int. J. Math. Game Theory Algebra 10, No. 3, 169--174 (2000; Zbl 0961.70012)
Tosel, Emmanuelle Julliard Meromorphic parametric non-integrability; the inverse square potential. (English) Zbl 0963.70010 Arch. Ration. Mech. Anal. 152, No. 3, 187-205 (2000). Reviewer: Francesco Calogero (Roma) MSC: 70F10 70H07 PDFBibTeX XMLCite \textit{E. J. Tosel}, Arch. Ration. Mech. Anal. 152, No. 3, 187--205 (2000; Zbl 0963.70010) Full Text: DOI
Fu, Yuhong; Rodin, Gregory J. Fast solution method for three-dimensional Stokesian many-particle problems. (English) Zbl 0971.76072 Commun. Numer. Methods Eng. 16, No. 2, 145-149 (2000). MSC: 76M28 76D07 78A30 65R20 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{G. J. Rodin}, Commun. Numer. Methods Eng. 16, No. 2, 145--149 (2000; Zbl 0971.76072) Full Text: DOI
Stewart, I. Symmetry methods in collisionless many-body problems. (English) Zbl 0990.70011 Mechanics: from theory to computation. Essays in honor of Juan-Carlos Simo. Papers invited by Journal of Nonlinear Science editors. New York, NY: Springer. 313-333 (2000). MSC: 70F10 70G65 PDFBibTeX XMLCite \textit{I. Stewart}, in: Mechanics: from theory to computation. Essays in honor of Juan-Carlos Simo. Papers invited by Journal of Nonlinear Science editors. New York, NY: Springer. 313--333 (2000; Zbl 0990.70011)
Lippert, T. Hyper-systolic algorithms for \(N\)-body computations and parallel level-3 BLAS libraries. (English) Zbl 0938.68655 Parallel Comput. 25, No. 7, 877-891 (1999). MSC: 68Q10 70-08 PDFBibTeX XMLCite \textit{T. Lippert}, Parallel Comput. 25, No. 7, 877--891 (1999; Zbl 0938.68655) 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
Kalvouridis, Telemachus J. The effect of radiation pressure on the particle dynamics in ring-type \(N\)-body configurations. (English) Zbl 0996.70010 Earth Moon Planets 87, No. 2, 87-102 (1999). MSC: 70F10 70F15 78A40 PDFBibTeX XMLCite \textit{T. J. Kalvouridis}, Earth Moon Planets 87, No. 2, 87--102 (1999; Zbl 0996.70010) Full Text: DOI
Kudryavtseva, E. A. Periodic motions of a planetary system with double planets. Generalized Hill problem. (English. Russian original) Zbl 1049.70629 Mosc. Univ. Math. Bull. 54, No. 4, 39-41 (1999); translation from Vestn. Mosk. Univ., Ser. I 1999, No. 4, 59-61 (1999). Reviewer: V. I. Goncharenko (Kyïv) MSC: 70F10 70H12 PDFBibTeX XMLCite \textit{E. A. Kudryavtseva}, Mosc. Univ. Math. Bull. 54, No. 4, 59--61 (1999; Zbl 1049.70629); translation from Vestn. Mosk. Univ., Ser. I 1999, No. 4, 59--61 (1999)
Trump, M. A.; Schieve, W. C. Classical relativistic many-body dynamics. (English) Zbl 0963.70002 Fundamental Theories of Physics. 103. Dordrecht: Kluwer Academic Publishers. xvi, 365 p. Dfl 310.00; $ 186.00; £109.00 (1999). Reviewer: Lior Burko (Pasadena) MSC: 70-02 70H40 70F10 83A05 70F15 PDFBibTeX XMLCite \textit{M. A. Trump} and \textit{W. C. Schieve}, Classical relativistic many-body dynamics. Dordrecht: Kluwer Academic Publishers (1999; Zbl 0963.70002)
Martínez Alfaro, J.; López Machí, R. Persistence of asteroids after a close encounter. (English) Zbl 0977.70007 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 485-488 (1999). MSC: 70F10 70F15 PDFBibTeX XMLCite \textit{J. Martínez Alfaro} and \textit{R. López Machí}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 485--488 (1999; Zbl 0977.70007)
Kalvouridis, T. J. Periodic solutions in the ring problem. (English) Zbl 0988.70010 Astrophys. Space Sci. 266, No. 4, 467-494 (1999). MSC: 70F10 PDFBibTeX XMLCite \textit{T. J. Kalvouridis}, Astrophys. Space Sci. 266, No. 4, 467--494 (1999; Zbl 0988.70010) Full Text: DOI
Giordano, C. M.; Plastino, A. R. Jacobi dynamics and the \(N\)-body problem with variable masses. (English) Zbl 0967.70012 Celest. Mech. Dyn. Astron. 75, No. 3, 165-183 (1999). MSC: 70F10 70P05 PDFBibTeX XMLCite \textit{C. M. Giordano} and \textit{A. R. Plastino}, Celest. Mech. Dyn. Astron. 75, No. 3, 165--183 (1999; Zbl 0967.70012) Full Text: DOI
Mioc, Vasile; Stavinschi, Magda On Maxwell’s \((n+1)\)-body problem in the Manev-type field and on the associated restricted problem. (English) Zbl 0957.70012 Phys. Scr. 60, No. 6, 483-490 (1999). MSC: 70F10 70F05 PDFBibTeX XMLCite \textit{V. Mioc} and \textit{M. Stavinschi}, Phys. Scr. 60, No. 6, 483--490 (1999; Zbl 0957.70012) Full Text: DOI
Gerstberger, Robert Neural nets from the view of numerical mathematics. (Neuronale Netze aus Sicht der Numerischen Mathematik.) (German) Zbl 0946.65058 Düsseldorf: VDI Verlag. 108 S. (1999). MSC: 65L06 65L10 65L05 34A34 70F10 68M10 65Y10 34B15 68T05 PDFBibTeX XMLCite \textit{R. Gerstberger}, Neuronale Netze aus Sicht der Numerischen Mathematik. Düsseldorf: VDI Verlag (1999; Zbl 0946.65058)
Kalvouridis, T. J. Motion of a small satellite in planar multibody surroundings. (English) Zbl 0973.70020 Mech. Res. Commun. 26, No. 4, 489-497 (1999). Reviewer: Yoshihide Kozai (Suginami Tokyo) MSC: 70M20 70F10 70F15 PDFBibTeX XMLCite \textit{T. J. Kalvouridis}, Mech. Res. Commun. 26, No. 4, 489--497 (1999; Zbl 0973.70020) Full Text: DOI
Miller, R. H. Dimensionality of stable and unstable directions in the gravitational \(n\)-body problem. (English) Zbl 0961.70008 Celest. Mech. Dyn. Astron. 73, No. 1-4, 139-147 (1999). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 70F10 PDFBibTeX XMLCite \textit{R. H. Miller}, Celest. Mech. Dyn. Astron. 73, No. 1--4, 139--147 (1999; Zbl 0961.70008) Full Text: DOI
Zhang, Shiqing Variational properties for \(N\)-body problems. (English) Zbl 0960.70012 Int. J. Math. Game Theory Algebra 9, No. 3, 153-158 (1999). Reviewer: Willy Sarlet (Gent) MSC: 70F10 70F16 49S05 PDFBibTeX XMLCite \textit{S. Zhang}, Int. J. Math. Game Theory Algebra 9, No. 3, 153--158 (1999; Zbl 0960.70012)
Kahane, Jean-Pierre Hadamard and the stability of the solar system. (Hadamard et la stabilité du système solaire.) (French) Zbl 1007.01015 Séminaire de Mathématique de Luxembourg. Actes du colloque sur développements des mathématiques à la veille de l’année 2000, Luxembourg, Septembre 25-26, 1998 dans le cadre de l’Année mondiale des mathématiques. Luxembourg: Centre Universitaire de Luxembourg. Trav. Math. 11, 33-48 (1999). Reviewer: Christopher Athorne (Glasgow) MSC: 01A60 70-03 37-03 70Fxx PDFBibTeX XMLCite \textit{J.-P. Kahane}, Trav. Math. 11, 33--48 (1999; Zbl 1007.01015)
Meyer, Kenneth R. Periodic solutions of the N-body problem. (English) Zbl 0958.70001 Lecture Notes in Mathematics. 1719. Berlin: Springer. ix, 144 p. (1999). Reviewer: M.-C.Anisiu (Cluj-Napoca) MSC: 70-02 70F10 70H12 70H05 70F15 37N05 37-02 34C25 PDFBibTeX XMLCite \textit{K. R. Meyer}, Periodic solutions of the N-body problem. Berlin: Springer (1999; Zbl 0958.70001) Full Text: DOI
Lippert, Thomas Hyper-systolic algorithms for \(n\)-body computations and parallel level-3 BLAS libraries. (English) Zbl 0930.68060 Parallel Comput. 25, No. 7, 877-891 (1999). MSC: 68Q10 68W05 PDFBibTeX XMLCite \textit{T. Lippert}, Parallel Comput. 25, No. 7, 877--891 (1999; Zbl 0930.68060) Full Text: DOI
Roberts, Gareth E. A continuum of relative equilibria in the five-body problem. (English) Zbl 0955.70009 Physica D 127, No. 3-4, 141-145 (1999). MSC: 70F10 PDFBibTeX XMLCite \textit{G. E. Roberts}, Physica D 127, No. 3--4, 141--145 (1999; Zbl 0955.70009) Full Text: DOI
von Schwerin, Reinhold Multibody system simulation. Numerical methods, algorithms, and software. (English) Zbl 0945.65092 Lecture Notes in Computational Science and Engineering. 7. Berlin: Springer. xx, 338 p. (1999). Reviewer: Lubomír Bakule (Praha) MSC: 65L80 34A09 65L06 65-02 70F10 68W30 65Y15 PDFBibTeX XMLCite \textit{R. von Schwerin}, Multibody system simulation. Numerical methods, algorithms, and software. Berlin: Springer (1999; Zbl 0945.65092)
Martínez, Regina; Simó, Carles Simultaneous binary collisions in the planar four-body problem. (English) Zbl 0951.70009 Nonlinearity 12, No. 4, 903-930 (1999). MSC: 70F17 70F10 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{C. Simó}, Nonlinearity 12, No. 4, 903--930 (1999; Zbl 0951.70009) Full Text: DOI
Roberts, Gareth E. Spectral instability of relative equilibria in the planar \(n\)-body problem. (English) Zbl 0953.70010 Nonlinearity 12, No. 4, 757-769 (1999). MSC: 70F10 70K20 70K42 PDFBibTeX XMLCite \textit{G. E. Roberts}, Nonlinearity 12, No. 4, 757--769 (1999; Zbl 0953.70010) Full Text: DOI
Pérez-Chavela, Ernesto Different kinds of potentials in celestial mechanics. (English) Zbl 0961.70010 Dyn. Contin. Discrete Impulsive Syst. 5, No. 1-4, 545-559 (1999). Reviewer: Gasanbek Arazov (Baku) MSC: 70F15 70F10 PDFBibTeX XMLCite \textit{E. Pérez-Chavela}, Dyn. Contin. Discrete Impulsive Syst. 5, No. 1--4, 545--559 (1999; Zbl 0961.70010)
Vidal, Claudio The tetrahedral 4-body problem with rotation. (English) Zbl 0962.70016 Celest. Mech. Dyn. Astron. 71, No. 1, 15-33 (1999). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 70F10 70F16 PDFBibTeX XMLCite \textit{C. Vidal}, Celest. Mech. Dyn. Astron. 71, No. 1, 15--33 (1999; Zbl 0962.70016) Full Text: DOI
Maranhão, Dante L.; Llibre, Jaume Ejection-collision orbits and invariant punctured tori in a restricted four-body problem. (English) Zbl 0951.70008 Celest. Mech. Dyn. Astron. 71, No. 1, 1-14 (1999). MSC: 70F10 PDFBibTeX XMLCite \textit{D. L. Maranhão} and \textit{J. Llibre}, Celest. Mech. Dyn. Astron. 71, No. 1, 1--14 (1999; Zbl 0951.70008) Full Text: DOI
Pham, Hoan H.; Nathan, Arokia A new approach for rapid evaluation of the potential field in three dimensions. (English) Zbl 0927.35027 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1982, 637-675 (1999). MSC: 35J05 35C15 81V55 81V70 PDFBibTeX XMLCite \textit{H. H. Pham} and \textit{A. Nathan}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1982, 637--675 (1999; Zbl 0927.35027) Full Text: DOI