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## Marchal, Christian

Compute Distance To:
 Author ID: marchal.christian Published as: Marchal, C.; Marchal, Ch.; Marchal, Christian
 Documents Indexed: 61 Publications since 1964, including 1 Book
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#### Co-Authors

 40 single-authored 4 Culp, Robert Dudley 4 Sun, Yisui 3 Gravier, Jean-Paul 3 Yoshida, Junzo 2 Losco, Lucette 2 Saari, Donald Gene 1 Bozis, George 1 Contensou, Pierre 1 Dvorak, Rudolf 1 Issartel, J. P. 1 Klat, A. I. 1 Klat, Anis 1 Laskar, Jacques 1 Rannou-Montigny, F. 1 Vinh, Nguyen Xuan 1 Walton, James Michael
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#### Serials

 10 Celestial Mechanics 6 Acta Astronautica 5 Journal of Optimization Theory and Applications 5 Celestial Mechanics and Dynamical Astronomy 3 Astronomy and Astrophysics 3 Regular and Chaotic Dynamics 2 Journal of Differential Equations 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 AIAA Journal 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Mathematische Zeitschrift 1 Optimal Control Applications & Methods 1 La Recherche Aérospatiale 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Scientia Sinica. Series A 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Journal of Guidance and Control 1 Journal de Mécanique 1 Astronautica Acta
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#### Fields

 45 Mechanics of particles and systems (70-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Ordinary differential equations (34-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 3 History and biography (01-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

34 Publications have been cited 256 times in 215 Documents Cited by Year
How the method of minimization of action avoids singularities. Zbl 1073.70011
Marchal, C.
2002
The three-body problem. Zbl 0719.70006
Marchal, Christian
1990
Hill regions for the general three-body problem. Zbl 0323.70009
Marchal, Christian; Saari, Donald G.
1975
Chattering arcs and chattering controls. Zbl 0243.49003
Marchal, C.
1973
On the final evolution of the n-body problem. Zbl 0336.70010
Marchal, Christian; Saari, Donald G.
1976
Hill stability and distance curves for the general three-body problem. Zbl 0519.70010
Marchal, Christian; Bozis, George
1982
The family $$P_{12}$$ of the three-body problem – the simplest family of periodic orbits, with twelve symmetries per period. Zbl 1023.70007
Marchal, C.
2000
Second-order tests in optimization theories. Zbl 0279.49016
Marchal, C.
1975
Transferts optimaux centre orbites elliptiques coplanaires (duree indifferente). Zbl 0171.45703
Marchal, C.
1965
Study of the Kepler’s conjecture: the problem of the closest packing. Zbl 1243.52017
Marchal, Christian
2011
A test of escape valid even for very small mutual distances. I. The acceleration and the escape velocities of the third body. Zbl 0565.70005
Marchal, Christian; Yoshida, Junzo; Sun, Yi-Sui
1984
Synthesis of the types of optimal transfers between hyperbolic asymptotes. Zbl 0316.70027
Walton, James Michael; Marchal, Christian; Culp, Robert Dudley
1975
Sufficient conditions for hyperbolic-elliptic escape and for ’ejection without escape’ in the three-body problem. Zbl 0303.70012
Marchal, Christian
1974
Etude topologique générale des équations différentielles conservatives (indépendantes du temps ou périodiques). Application à la mécanique céleste. (Generale topological study of conservative differential equations). (time-independent or periodical application to the celestical mechanics). Zbl 0228.70012
Marchal, C.
1971
Progress in celestial mechanics. Zbl 1252.70034
Marchal, Christian
2012
Long-term evolution of quasi-circular Trojan orbits. Zbl 1165.70017
Marchal, C.
2009
On quasi-integrable problems. The example of the artificial satellites perturbed by the Earth’s zonal harmonics. Zbl 0602.70029
Marchal, C.
1986
Triple close approach in the three-body problem: A limit for the bounded orbits. Zbl 0593.70010
1984
Three-body problem. Zbl 0569.70010
Marchal, Christian; Yoshida, Junzo; Sun, Yi-Sui
1984
Analysis of the neighbourhood of triple collisions and of tri-parabolic escapes in the 3 body-problem. Zbl 0429.70011
Marchal, C.; Losco, L.
1980
The quasi integrals. Zbl 0426.70021
Marchal, C.
1980
Collisions of stars by oscillating orbits of the second kind. Zbl 0395.70008
Marchal, C.
1978
Qualitative study of an N-body system; a new condition of complete scattering. Zbl 0268.70005
Marchal, C.
1971
General properties of three-body systems with Hill-type stability. Zbl 1172.70006
Marchal, C.
2006
Determinism, random, chaos, freedom. Henri Poincaré and the revolution of scientific ideas in the twentieth century. Zbl 1074.81004
Marchal, C.
2005
The fractal structure of quasi-periodic solutions of Hamiltonian systems. Zbl 1080.37511
Marchal, C.
1995
Dynamical systems and stability: The improvements given by the near- resonance theorem. Zbl 0712.70044
Marchal, C.
1990
Le théorème de quasi-résonance. (The near-resonance theorem). Zbl 0644.70018
Marchal, Christian
1988
Sur une nouvelle propriété des équations linearisees de la collision triple du problème des 3 corps. Zbl 0474.70008
Losco, L.; Marchal, C.
1981
Singularities in optimization of deterministic dynamic systems. Zbl 0459.49004
Marchal, C.; Contensou, P.
1981
Optimal impulsive transfers between real planetary orbits. Zbl 0281.70006
Gravier, J. P.; Marchal, C.; Culp, R. D.
1975
Optimal trajectories between Earth and Mars in their true planetary orbits. Zbl 0214.23902
Gravier, J. P.; Marchal, C.; Culp, R. D.
1972
Une expression des commutations sous forme explicite dans le problème des transferts optimaux entre orbites Kepleriennes. Zbl 0241.70036
Marchal, Christian
1971
Mouvement des satellites artificiels de la terre à partir des solutions du problème des deux centres fixes. Zbl 0117.18104
Marchal, Ch.
1964
Progress in celestial mechanics. Zbl 1252.70034
Marchal, Christian
2012
Study of the Kepler’s conjecture: the problem of the closest packing. Zbl 1243.52017
Marchal, Christian
2011
Long-term evolution of quasi-circular Trojan orbits. Zbl 1165.70017
Marchal, C.
2009
General properties of three-body systems with Hill-type stability. Zbl 1172.70006
Marchal, C.
2006
Determinism, random, chaos, freedom. Henri Poincaré and the revolution of scientific ideas in the twentieth century. Zbl 1074.81004
Marchal, C.
2005
How the method of minimization of action avoids singularities. Zbl 1073.70011
Marchal, C.
2002
The family $$P_{12}$$ of the three-body problem – the simplest family of periodic orbits, with twelve symmetries per period. Zbl 1023.70007
Marchal, C.
2000
The fractal structure of quasi-periodic solutions of Hamiltonian systems. Zbl 1080.37511
Marchal, C.
1995
The three-body problem. Zbl 0719.70006
Marchal, Christian
1990
Dynamical systems and stability: The improvements given by the near- resonance theorem. Zbl 0712.70044
Marchal, C.
1990
Le théorème de quasi-résonance. (The near-resonance theorem). Zbl 0644.70018
Marchal, Christian
1988
On quasi-integrable problems. The example of the artificial satellites perturbed by the Earth’s zonal harmonics. Zbl 0602.70029
Marchal, C.
1986
A test of escape valid even for very small mutual distances. I. The acceleration and the escape velocities of the third body. Zbl 0565.70005
Marchal, Christian; Yoshida, Junzo; Sun, Yi-Sui
1984
Triple close approach in the three-body problem: A limit for the bounded orbits. Zbl 0593.70010
1984
Three-body problem. Zbl 0569.70010
Marchal, Christian; Yoshida, Junzo; Sun, Yi-Sui
1984
Hill stability and distance curves for the general three-body problem. Zbl 0519.70010
Marchal, Christian; Bozis, George
1982
Sur une nouvelle propriété des équations linearisees de la collision triple du problème des 3 corps. Zbl 0474.70008
Losco, L.; Marchal, C.
1981
Singularities in optimization of deterministic dynamic systems. Zbl 0459.49004
Marchal, C.; Contensou, P.
1981
Analysis of the neighbourhood of triple collisions and of tri-parabolic escapes in the 3 body-problem. Zbl 0429.70011
Marchal, C.; Losco, L.
1980
The quasi integrals. Zbl 0426.70021
Marchal, C.
1980
Collisions of stars by oscillating orbits of the second kind. Zbl 0395.70008
Marchal, C.
1978
On the final evolution of the n-body problem. Zbl 0336.70010
Marchal, Christian; Saari, Donald G.
1976
Hill regions for the general three-body problem. Zbl 0323.70009
Marchal, Christian; Saari, Donald G.
1975
Second-order tests in optimization theories. Zbl 0279.49016
Marchal, C.
1975
Synthesis of the types of optimal transfers between hyperbolic asymptotes. Zbl 0316.70027
Walton, James Michael; Marchal, Christian; Culp, Robert Dudley
1975
Optimal impulsive transfers between real planetary orbits. Zbl 0281.70006
Gravier, J. P.; Marchal, C.; Culp, R. D.
1975
Sufficient conditions for hyperbolic-elliptic escape and for ’ejection without escape’ in the three-body problem. Zbl 0303.70012
Marchal, Christian
1974
Chattering arcs and chattering controls. Zbl 0243.49003
Marchal, C.
1973
Optimal trajectories between Earth and Mars in their true planetary orbits. Zbl 0214.23902
Gravier, J. P.; Marchal, C.; Culp, R. D.
1972
Etude topologique générale des équations différentielles conservatives (indépendantes du temps ou périodiques). Application à la mécanique céleste. (Generale topological study of conservative differential equations). (time-independent or periodical application to the celestical mechanics). Zbl 0228.70012
Marchal, C.
1971
Qualitative study of an N-body system; a new condition of complete scattering. Zbl 0268.70005
Marchal, C.
1971
Une expression des commutations sous forme explicite dans le problème des transferts optimaux entre orbites Kepleriennes. Zbl 0241.70036
Marchal, Christian
1971
Transferts optimaux centre orbites elliptiques coplanaires (duree indifferente). Zbl 0171.45703
Marchal, C.
1965
Mouvement des satellites artificiels de la terre à partir des solutions du problème des deux centres fixes. Zbl 0117.18104
Marchal, Ch.
1964
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#### Cited by 292 Authors

 15 Marchal, Christian 10 Saari, Donald Gene 10 Zhang, Shiqing 8 Terracini, Susanna 8 Yan, Duokui 6 Ouyang, Tiancheng 6 Papadakis, K. E. 5 Maderna, Ezequiel 4 Anosova, Joanna P. 4 Barutello, Vivina L. 4 Deng, Chunhua 4 Laskar, Jacques 4 Sun, Yisui 4 Venturelli, Andrea 4 Zelikin, Mikhail Il’ich 3 Borisov, V. F. 3 Bountis, Tassos C. 3 Cerf, Max 3 Doedel, Eusebius J. 3 Dvorak, Rudolf 3 Ferrario, Davide L. 3 Galán-Vioque, Jorge 3 García-Azpeitia, Carlos 3 Gronchi, Giovanni-Federico 3 Liu, Rongchang 3 Moeckel, Richard 3 Orlov, Victor Vladimirovich 3 Prado, Antônio Fernando Bertachini de Almeida 3 Trélat, Emmanuel 3 Vanderbauwhede, Andre L. 3 Xie, Zhifu 3 Yoshida, Junzo 3 Zare, Karim 3 Zhu, Jiamin 2 Aarseth, Sverre Johannes 2 Albouy, Alain 2 Boué, Gwenaël 2 Bozis, George 2 Calleja, Renato C. 2 Chen, Kuo-Chang 2 Chen, Zheng 2 Chenciner, Alain 2 Correia, Alexandre C. M. 2 Culp, Robert Dudley 2 Diacu, Florin Nicolae 2 Dichmann, Donald J. 2 dos Santos, Denílson Paulo Souza 2 Farago, François 2 Féjoz, Jacques 2 Fenucci, Marco 2 Formalskii, Alexander M. 2 Gomes, Vivian Martins 2 Hildebrand, Roland 2 Jiang, Yueyong 2 Jorba, Àngel 2 Keller, Herbert Bishop 2 Khapaev, Mikhail Mikhailovich 2 Kuang, Wentian 2 Li, Fengying 2 Lokutsievskiy, Lev Viacheslavovich 2 Meyer, Kenneth R. 2 Milani, Andrea 2 Montgomery, Richard 2 Nipkow, Tobias 2 Nobili, Anna Maria 2 Paffenroth, Randy C. 2 Perdios, Efstathios A. 2 Roy, Archie E. 2 Ryan, Eugene P. 2 Singh, Jagadish 2 Soulis, P. S. 2 Steves, Bonnie A. 2 Sweatman, Winston L. 2 Xia, Zhihong 2 Yu, Xiang 2 Yumagulov, Marat Gayazovich 2 Zhao, Furong 2 Zhao, Lei 1 Adams, Mark 1 Aizawa, Yōji 1 Aldakimov, Yu. V. 1 Ancona, Fabio 1 Anderson, Edward 1 Antoniadou, Kyriaki I. 1 Arioli, Gianni 1 Balan, Radu V. 1 Baltagiannis, A. N. 1 Bauer, Gertrud 1 Belikova, O. N. 1 Bell, David J. 1 Bhattacharya, Dilip Kumar 1 Biggs, James Douglas 1 Boarotto, Francesco 1 Bolsinov, Alexey V. 1 Boscaggin, Alberto 1 Breakwell, John V. 1 Bressan, Alberto 1 Broucke, Roger A. 1 Caillau, Jean-Baptiste 1 Carter, Thomas E. ...and 192 more Authors
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#### Cited in 71 Serials

 45 Celestial Mechanics and Dynamical Astronomy 24 Celestial Mechanics 12 Archive for Rational Mechanics and Analysis 11 Journal of Differential Equations 7 Journal of Optimization Theory and Applications 5 Journal of Geometry and Physics 5 Regular and Chaotic Dynamics 4 Astrophysics and Space Science 4 International Journal of Control 4 Journal of Applied Mathematics and Mechanics 4 Chaos, Solitons and Fractals 4 Physica D 4 Journal of Mathematical Sciences (New York) 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Computational and Applied Mathematics 3 Discrete and Continuous Dynamical Systems 3 Mathematical Problems in Engineering 2 Communications in Mathematical Physics 2 Applied Mathematics and Computation 2 Automatica 2 SIAM Journal on Control and Optimization 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Doklady Mathematics 2 Annals of Mathematics. Second Series 2 Lobachevskii Journal of Mathematics 2 Advanced Nonlinear Studies 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications on Pure and Applied Mathematics 1 Earth, Moon, and Planets 1 General Relativity and Gravitation 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Moon and the Planets 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Prikladnaya Matematika i Mekhanika 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Algorithmica 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 Journal of Nonlinear Science 1 Russian Mathematics 1 Experimental Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Fixed Point Theory and Applications 1 Science China. Mathematics 1 Forum of Mathematics, Pi 1 Pacific Journal of Mathematics for Industry
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#### Cited in 25 Fields

 181 Mechanics of particles and systems (70-XX) 46 Dynamical systems and ergodic theory (37-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 26 Ordinary differential equations (34-XX) 11 Numerical analysis (65-XX) 11 Systems theory; control (93-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Astronomy and astrophysics (85-XX) 5 Operations research, mathematical programming (90-XX) 4 Convex and discrete geometry (52-XX) 4 Differential geometry (53-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Relativity and gravitational theory (83-XX) 2 Measure and integration (28-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)