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## Moeckel, Richard

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 Author ID: moeckel.richard Published as: Moeckel, Richard; Moeckel, R.
 Documents Indexed: 51 Publications since 1981
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#### Co-Authors

 36 single-authored 5 Montgomery, Richard 2 Devinatz, Allen 2 Hampton, Marshall 2 Legoll, Frédéric 2 Luskin, Mitchell 2 Rejto, Peter 1 Albouy, Alain 1 Corbera, Montserrat 1 Cors, Josep Maria 1 Duignan, Nathan 1 Llibre, Jaume 1 Murray, Brad 1 Sánchez-Morgado, Héctor 1 Simó, Carles 1 Venturelli, Andrea 1 Yu, Guowei
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#### Serials

 4 Archive for Rational Mechanics and Analysis 4 Transactions of the American Mathematical Society 4 Ergodic Theory and Dynamical Systems 4 Celestial Mechanics and Dynamical Astronomy 3 SIAM Journal on Mathematical Analysis 2 Nonlinearity 2 Journal of Differential Equations 2 Journal of Dynamics and Differential Equations 2 Regular and Chaotic Dynamics 1 Communications in Mathematical Physics 1 American Journal of Mathematics 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Complex Variables. Theory and Application 1 Physica D 1 Journal of Symbolic Computation 1 SIAM Review 1 Qualitative Theory of Dynamical Systems 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series S
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#### Fields

 41 Mechanics of particles and systems (70-XX) 30 Dynamical systems and ergodic theory (37-XX) 4 Differential geometry (53-XX) 3 Ordinary differential equations (34-XX) 3 Computer science (68-XX) 2 Partial differential equations (35-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

45 Publications have been cited 650 times in 420 Documents Cited by Year
On central configurations. Zbl 0684.70005
Moeckel, Richard
1990
Finiteness of relative equilibria of the four-body problem. Zbl 1083.70012
Hampton, Marshall; Moeckel, Richard
2006
Bifurcation of spatial central configurations from planar ones. Zbl 0830.34032
Moeckel, Richard; Simó, Carles
1995
Linear stability of relative equilibria with a dominant mass. Zbl 0793.70008
Moeckel, Richard
1994
Heteroclinic phenomena in the isosceles three-body-problem. Zbl 0593.70009
Moeckel, R.
1984
Chaotic dynamics near triple collision. Zbl 0697.70021
Moeckel, Richard
1989
Generic finiteness for Dziobek configurations. Zbl 0985.70009
Moeckel, Richard
2001
Orbits of the three-body problem which pass infinitely close to triple collision. Zbl 0475.70008
Moeckel, R.
1981
Non-ergodicity of the Nosé-Hoover thermostatted harmonic oscillator. Zbl 1122.82002
Legoll, Frédéric; Luskin, Mitchell; Moeckel, Richard
2007
The inverse problem for collinear central configurations. Zbl 0981.70012
Albouy, Alain; Moeckel, Richard
2000
Relative equilibria of the four-body problem. Zbl 0554.14004
Moeckel, Richard
1985
Finiteness of stationary configurations of the four-vortex problem. Zbl 1161.76011
Hampton, Marshall; Moeckel, Richard
2009
Transition tori in the five-body problem. Zbl 0862.70007
Moeckel, Richard
1996
A topological existence proof for the Schubart orbits in the collinear three-body problem. Zbl 1147.70007
Moeckel, Richard
2008
Geodesics on modular surfaces and continued fractions. Zbl 0497.10007
Moeckel, R.
1982
Linear stability analysis of some symmetrical classes of relative equilibria. Zbl 0833.70009
Moeckel, Richard
1995
Generic bifurcations of the twist coefficient. Zbl 0734.58021
Moeckel, Richard
1990
Generic drift on Cantor sets of annuli. Zbl 1034.70012
Moeckel, Richard
2002
Relative equilibria with clusters of small masses. Zbl 0888.70011
Moeckel, Richard
1997
A computer-assisted proof of Saari’s conjecture for the planar three-body problem. Zbl 1079.70011
Moeckel, Richard
2005
Non-ergodicity of Nosé-Hoover dynamics. Zbl 1173.37066
Legoll, Frédéric; Luskin, Mitchell; Moeckel, Richard
2009
Orbits near triple collision in the three-body problem. Zbl 0508.70008
Moeckel, Richard
1983
From brake to syzygy. Zbl 1286.70014
Moeckel, Richard; Montgomery, Richard; Venturelli, Andrea
2012
Realizing all reduced syzygy sequences in the planar three-body problem. Zbl 1338.70018
Moeckel, Richard; Montgomery, Richard
2015
Symbolic dynamics in the planar three-body problem. Zbl 1229.70033
Moeckel, R.
2007
A limiting absorption principle for Schrödinger operators with von Neumann-Wigner type potentials. Zbl 0731.47050
Devinatz, Allen; Moeckel, Richard; Rejto, Peter
1991
Morse decompositions and connection matrices. Zbl 0664.58030
Moeckel, Richard
1988
Bifurcation of relative equilibria of the $$(1+3)$$-body problem. Zbl 1320.70010
Corbera, Montserrat; Cors, Josep; Llibre, Jaume; Moeckel, Richard
2015
Central configurations. Zbl 1425.70024
Moeckel, Richard
2016
Rotations of the closures of some simply connected domains. Zbl 0541.30012
Moeckel, Richard
1985
Minimal energy configurations of gravitationally interacting rigid bodies. Zbl 1365.70011
Moeckel, Richard
2017
Isolating blocks near the collinear relative equilibria of the three-body problem. Zbl 1079.70010
Moeckel, Richard
2004
Free time minimizers for the three-body problem. Zbl 1390.70022
Moeckel, Richard; Montgomery, Richard; Sánchez Morgado, Héctor
2018
Measuring the distance between time series. Zbl 0914.62064
1997
Chazy-type asymptotics and hyperbolic scattering for the $$n$$-body problem. Zbl 1464.70007
Duignan, Nathan; Moeckel, Richard; Montgomery, Richard; Yu, Guowei
2020
A nonintegrable model in general relativity. Zbl 0774.53054
Moeckel, Richard
1992
Some qualitative features of the three-body problem. Zbl 0667.70001
Moeckel, Richard
1988
Spiralling invariant manifolds. Zbl 0634.58016
Moeckel, Richard
1987
Symmetric regularization, reduction and blow-up of the planar three-body problem. Zbl 1275.37037
Moeckel, Richard; Montgomery, Richard
2013
A variational proof of existence of transit orbits in the restricted three-body problem. Zbl 1061.70005
Moeckel, R.
2005
A proof of Saari’s conjecture for the three-body problem in R$$^d$$. Zbl 1162.70011
Moeckel, Richard
2008
The Foucault pendulum (with a twist). Zbl 1360.37112
Moeckel, Richard
2015
Embedding the Kepler problem as a surface of revolution. Zbl 1411.70008
Moeckel, Richard
2018
Sturm’s algorithm and isolating blocks. Zbl 1124.70003
Moeckel, Richard
2005
Counting relative equilibrium configurations of the full two-body problem. Zbl 1390.70015
Moeckel, Richard
2018
Chazy-type asymptotics and hyperbolic scattering for the $$n$$-body problem. Zbl 1464.70007
Duignan, Nathan; Moeckel, Richard; Montgomery, Richard; Yu, Guowei
2020
Free time minimizers for the three-body problem. Zbl 1390.70022
Moeckel, Richard; Montgomery, Richard; Sánchez Morgado, Héctor
2018
Embedding the Kepler problem as a surface of revolution. Zbl 1411.70008
Moeckel, Richard
2018
Counting relative equilibrium configurations of the full two-body problem. Zbl 1390.70015
Moeckel, Richard
2018
Minimal energy configurations of gravitationally interacting rigid bodies. Zbl 1365.70011
Moeckel, Richard
2017
Central configurations. Zbl 1425.70024
Moeckel, Richard
2016
Realizing all reduced syzygy sequences in the planar three-body problem. Zbl 1338.70018
Moeckel, Richard; Montgomery, Richard
2015
Bifurcation of relative equilibria of the $$(1+3)$$-body problem. Zbl 1320.70010
Corbera, Montserrat; Cors, Josep; Llibre, Jaume; Moeckel, Richard
2015
The Foucault pendulum (with a twist). Zbl 1360.37112
Moeckel, Richard
2015
Symmetric regularization, reduction and blow-up of the planar three-body problem. Zbl 1275.37037
Moeckel, Richard; Montgomery, Richard
2013
From brake to syzygy. Zbl 1286.70014
Moeckel, Richard; Montgomery, Richard; Venturelli, Andrea
2012
Finiteness of stationary configurations of the four-vortex problem. Zbl 1161.76011
Hampton, Marshall; Moeckel, Richard
2009
Non-ergodicity of Nosé-Hoover dynamics. Zbl 1173.37066
Legoll, Frédéric; Luskin, Mitchell; Moeckel, Richard
2009
A topological existence proof for the Schubart orbits in the collinear three-body problem. Zbl 1147.70007
Moeckel, Richard
2008
A proof of Saari’s conjecture for the three-body problem in R$$^d$$. Zbl 1162.70011
Moeckel, Richard
2008
Non-ergodicity of the Nosé-Hoover thermostatted harmonic oscillator. Zbl 1122.82002
Legoll, Frédéric; Luskin, Mitchell; Moeckel, Richard
2007
Symbolic dynamics in the planar three-body problem. Zbl 1229.70033
Moeckel, R.
2007
Finiteness of relative equilibria of the four-body problem. Zbl 1083.70012
Hampton, Marshall; Moeckel, Richard
2006
A computer-assisted proof of Saari’s conjecture for the planar three-body problem. Zbl 1079.70011
Moeckel, Richard
2005
A variational proof of existence of transit orbits in the restricted three-body problem. Zbl 1061.70005
Moeckel, R.
2005
Sturm’s algorithm and isolating blocks. Zbl 1124.70003
Moeckel, Richard
2005
Isolating blocks near the collinear relative equilibria of the three-body problem. Zbl 1079.70010
Moeckel, Richard
2004
Generic drift on Cantor sets of annuli. Zbl 1034.70012
Moeckel, Richard
2002
Generic finiteness for Dziobek configurations. Zbl 0985.70009
Moeckel, Richard
2001
The inverse problem for collinear central configurations. Zbl 0981.70012
Albouy, Alain; Moeckel, Richard
2000
Relative equilibria with clusters of small masses. Zbl 0888.70011
Moeckel, Richard
1997
Measuring the distance between time series. Zbl 0914.62064
1997
Transition tori in the five-body problem. Zbl 0862.70007
Moeckel, Richard
1996
Bifurcation of spatial central configurations from planar ones. Zbl 0830.34032
Moeckel, Richard; Simó, Carles
1995
Linear stability analysis of some symmetrical classes of relative equilibria. Zbl 0833.70009
Moeckel, Richard
1995
Linear stability of relative equilibria with a dominant mass. Zbl 0793.70008
Moeckel, Richard
1994
A nonintegrable model in general relativity. Zbl 0774.53054
Moeckel, Richard
1992
A limiting absorption principle for Schrödinger operators with von Neumann-Wigner type potentials. Zbl 0731.47050
Devinatz, Allen; Moeckel, Richard; Rejto, Peter
1991
On central configurations. Zbl 0684.70005
Moeckel, Richard
1990
Generic bifurcations of the twist coefficient. Zbl 0734.58021
Moeckel, Richard
1990
Chaotic dynamics near triple collision. Zbl 0697.70021
Moeckel, Richard
1989
Morse decompositions and connection matrices. Zbl 0664.58030
Moeckel, Richard
1988
Some qualitative features of the three-body problem. Zbl 0667.70001
Moeckel, Richard
1988
Spiralling invariant manifolds. Zbl 0634.58016
Moeckel, Richard
1987
Relative equilibria of the four-body problem. Zbl 0554.14004
Moeckel, Richard
1985
Rotations of the closures of some simply connected domains. Zbl 0541.30012
Moeckel, Richard
1985
Heteroclinic phenomena in the isosceles three-body-problem. Zbl 0593.70009
Moeckel, R.
1984
Orbits near triple collision in the three-body problem. Zbl 0508.70008
Moeckel, Richard
1983
Geodesics on modular surfaces and continued fractions. Zbl 0497.10007
Moeckel, R.
1982
Orbits of the three-body problem which pass infinitely close to triple collision. Zbl 0475.70008
Moeckel, R.
1981
all top 5

#### Cited by 420 Authors

 26 Llibre, Jaume 18 Mello, Luis Fernando O. 18 Moeckel, Richard 16 Fernandes, Antonio Carlos 14 Santoprete, Manuele 13 Cors, Josep Maria 13 Xie, Zhifu 12 Corbera, Montserrat 11 Alvarez-Ramírez, Martha 11 Pérez-Chavela, Ernesto 11 Roberts, Gareth E. 11 Zhang, Shiqing 10 M-Seara, Tere 10 Yan, Duokui 8 Hampton, Marshall 7 Dullin, Holger R. 7 Guardia, Marcel 7 Hu, Xijun 7 Kaloshin, Vadim Yu. 7 Montgomery, Richard 7 Ouyang, Tiancheng 6 Barutello, Vivina L. 6 Delshams, Amadeu 6 Diacu, Florin Nicolae 6 Ferrario, Davide L. 6 Terracini, Susanna 6 Vidal, Claudio 5 de la Llave, Rafael 5 Gidea, Marian 5 Leimkuhler, Benedict J. 5 Simmons, Skyler C. 5 Stoica, Cristina 5 Tsai, Ya-Lun 5 Xia, Zhihong 4 Albouy, Alain 4 Bakker, Lennard F. 4 Barrabés, Esther 4 Chen, Jian 4 Chen, Kuo-Chang 4 Deng, Chunhua 4 Féjoz, Jacques 4 Garcia, Braulio Augusto 4 Meiss, James D. 4 Ou, Yuwei 4 Scheeres, Daniel J. 4 Shibayama, Mitsuru 4 Valls Anglés, Cláudia 4 Venturelli, Andrea 4 Yu, Guowei 4 Zhu, Shuqiang 3 Butler, Leo T. 3 Celli, Martin 3 Cornelio, J. Lino 3 Duignan, Nathan 3 ElBialy, Mohamed Sami 3 Fontich, Ernest 3 Fu, Yanning 3 García-Azpeitia, Carlos 3 Hall, Glen Richard 3 Ivanov, Alexey V. 3 Kuang, Wentian 3 Lee, Tsung-Lin 3 Li, Bingyu 3 Long, Yiming 3 Mandich, Marc-Adrien 3 Martín, Pau 3 Martínez, Regina 3 O’Neil, Kevin Anthony 3 Rejto, Peter 3 Su, Xia 3 Sun, Shanzhong 3 Taboada, Mario 3 Yu, Xiang 3 Zhang, Jianlu 3 Zhao, Furong 2 Arredondo, John Alexander 2 Barry, Anna M. 2 Bengochea, Abimael 2 Bernard, Patrick 2 Borisov, Alekseĭ Vladimirovich 2 Canneori, Gian Marco 2 Castro Ortega, Alberto 2 Chen, Tianran 2 da Silveira, Mariana R. 2 de Rezende, Ketty Abaroa 2 Delgado, Joaquín F. 2 Deng, Yiyang 2 Dias, Thiago 2 Escobar-Ruiz, Mauricio A. 2 Falconi, Manuel J. 2 García Rodríguez, José Antonio 2 Golénia, Sylvain 2 Hsiao, Jun-Shian 2 Jackman, Connor 2 Jensen, Anders Nedergaard 2 Kennedy, Judy A. 2 Lacomba, Ernesto A. 2 Lauf, Wolfgang 2 Li, Fengying 2 Li, Tien-Yien ...and 320 more Authors
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#### Cited in 100 Serials

 57 Celestial Mechanics and Dynamical Astronomy 24 Qualitative Theory of Dynamical Systems 22 Archive for Rational Mechanics and Analysis 21 Journal of Differential Equations 16 Physica D 16 Journal of Dynamics and Differential Equations 15 Journal of Mathematical Analysis and Applications 14 Journal of Mathematical Physics 13 Nonlinearity 13 Transactions of the American Mathematical Society 13 Journal of Nonlinear Science 11 Journal of Geometry and Physics 10 Regular and Chaotic Dynamics 8 Communications in Mathematical Physics 8 Ergodic Theory and Dynamical Systems 6 Applied Mathematics and Computation 6 Proceedings of the American Mathematical Society 6 Discrete and Continuous Dynamical Systems 6 SIAM Journal on Applied Dynamical Systems 5 Journal of Statistical Physics 5 Inventiones Mathematicae 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Advances in Mathematics 3 Indagationes Mathematicae. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Abstract and Applied Analysis 3 Chaos 3 Communications in Nonlinear Science and Numerical Simulation 3 Nonlinear Analysis. Real World Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Applied Mathematics and Mechanics 2 Anais da Academia Brasileira de Ciências 2 Integral Equations and Operator Theory 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Topology and its Applications 2 Acta Applicandae Mathematicae 2 Journal of Symbolic Computation 2 Science in China. Series A 2 The Journal of Geometric Analysis 2 Celestial Mechanics 2 SIAM Journal on Mathematical Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Calculus of Variations and Partial Differential Equations 2 Complexity 2 Annals of Mathematics. Second Series 2 Annales Henri Poincaré 2 Discrete and Continuous Dynamical Systems. Series B 2 Frontiers of Mathematics in China 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Geometric Mechanics 1 Astrophysics and Space Science 1 Discrete Mathematics 1 Earth, Moon, and Planets 1 General Relativity and Gravitation 1 Physics Letters. A 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica 1 Glasgow Mathematical Journal 1 Mathematische Annalen 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Discrete & Computational Geometry 1 Dynamics and Stability of Systems 1 Forum Mathematicum 1 Japan Journal of Industrial and Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 International Journal of Modern Physics D 1 Journal de Théorie des Nombres de Bordeaux 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Journal of the European Mathematical Society (JEMS) 1 Annales Mathematicae Silesianae 1 Physical Review Letters 1 Advances in Difference Equations 1 Foundations of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Biological Dynamics 1 Journal of Fixed Point Theory and Applications 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Mathematics 1 Chinese Journal of Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applied Mathematics and Nonlinear Sciences
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#### Cited in 47 Fields

 316 Mechanics of particles and systems (70-XX) 164 Dynamical systems and ergodic theory (37-XX) 34 Ordinary differential equations (34-XX) 15 Fluid mechanics (76-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Partial differential equations (35-XX) 14 Differential geometry (53-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Quantum theory (81-XX) 9 Commutative algebra (13-XX) 9 Computer science (68-XX) 8 Algebraic geometry (14-XX) 8 Operator theory (47-XX) 8 Numerical analysis (65-XX) 7 Functions of a complex variable (30-XX) 6 Number theory (11-XX) 6 Difference and functional equations (39-XX) 5 Combinatorics (05-XX) 4 Group theory and generalizations (20-XX) 4 General topology (54-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 4 Mechanics of deformable solids (74-XX) 4 Relativity and gravitational theory (83-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)