## Celestial Mechanics and Dynamical Astronomy

### An International Journal of Space Dynamics

 Short Title: Celest. Mech. Dyn. Astron. Publisher: Springer Netherlands, Dordrecht ISSN: 0923-2958; 1572-9478/e Online: http://link.springer.com/journal/volumesAndIssues/10569 Predecessor: Celestial Mechanics
 Documents Indexed: 1,814 Publications (since 1989) References Indexed: 1,346 Publications with 34,831 References.
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### Authors

 36 Scheeres, Daniel J. 26 Celletti, Alessandra 23 Breiter, Sławomir 23 Froeschlé, Claude 22 Morbidelli, Alessandro 21 Dvorak, Rudolf 21 Elipe, Antonio 21 Henrard, Jacques 21 Llibre, Jaume 20 Mikkola, Seppo 19 Lemaitre, Anne 19 Milani, Andrea 18 Efthymiopoulos, Christos 18 Hadjidemetriou, John D. 18 Lega, Elena 18 Maciejewski, Andrzej J. 17 Gurfil, Pini 17 Valsecchi, Giovanni Battista 16 Armellin, Roberto 16 Érdi, Bálint 16 Robutel, Philippe 15 Brumberg, Victor A. 15 Fukushima, Toshio 15 Laskar, Jacques 15 Voyatzis, George 14 Ferraz-Mello, Sylvio 14 Gronchi, Giovanni-Federico 14 Kholshevnikov, Konstantin Vladislavovich 14 Lara, Martín 14 Sun, Yisui 13 Beaugé, Cristián 13 Contopoulos, George 13 Guzzo, Massimiliano 13 Rossi, Alessandro 12 Circi, Christian 12 Gómez, Gerard 12 Russell, Ryan P. 12 Tanikawa, Kiyotaka 11 Alfriend, Kyle T. 11 Ferrándiz, José Manuel 11 Giorgilli, Antonio 11 Kinoshita, Hiroshi 11 Muzzio, Juan C. 11 Pucacco, Giuseppe 11 Sidorenko, Vladislav V. 11 Topputo, Francesco 10 Knežević, Zoran 10 Peláez, Jesús 10 Soffel, Michael H. 10 Tsiganis, Kleomenis 10 Voglis, Nikos 9 Alessi, Elisa Maria 9 Baù, Giulio 9 Bombardelli, Claudio 9 Boué, Gwenaël 9 Bozis, George 9 Colombo, Camilla 9 Cors, Josep Maria 9 Froeschlé, Christiane 9 Howell, Kathleen Connor 9 Jorba, Àngel 9 Lhotka, Christoph 9 Métris, Gilles 9 Mortari, Daniele 9 Vidal, Claudio 8 Aarseth, Sverre Johannes 8 Cincotta, Pablo M. 8 Correia, Alexandre C. M. 8 Deprit, André 8 di Lizia, Pierluigi 8 Efroimsky, Michael 8 Ferrer, Sebastián 8 Getino, Juan 8 Krasinsky, G. A. 8 Libert, Anne-Sophie 8 Liu, Lin 8 Locatelli, Ugo 8 McInnes, Colin R. 8 McMahon, Jay W. 8 Perdios, Efstathios A. 8 Sansottera, Marco 8 Vasile, Massimiliano 8 Xu, Shijie 7 Bernelli-Zazzera, Franco 7 Casotto, Stefano 7 Corbera, Montserrat 7 Goździewski, Krzysztof 7 Ichtiaroglou, Simos 7 Michtchenko, Tatiana A. 7 Papaloizou, John Christopher Baillie 7 Polymilis, C. 7 Sándor, Zsolt 7 Vokrouhlický, David 7 Wachlin, Felipe C. 7 Zhou, Jilin 6 Baoyin, Hexi 6 Barrabés, Esther 6 Bois, Eric 6 Fienga, Agnès 6 Folonier, Hugo A. ...and 1,567 more Authors
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### Fields

 1,707 Mechanics of particles and systems (70-XX) 270 Dynamical systems and ergodic theory (37-XX) 158 Astronomy and astrophysics (85-XX) 67 Numerical analysis (65-XX) 53 Ordinary differential equations (34-XX) 32 Geophysics (86-XX) 30 Optics, electromagnetic theory (78-XX) 27 Relativity and gravitational theory (83-XX) 22 Mechanics of deformable solids (74-XX) 21 Fluid mechanics (76-XX) 20 General and overarching topics; collections (00-XX) 14 Special functions (33-XX) 13 History and biography (01-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 Partial differential equations (35-XX) 8 Systems theory; control (93-XX) 7 Statistics (62-XX) 7 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 Topological groups, Lie groups (22-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 Measure and integration (28-XX) 2 Probability theory and stochastic processes (60-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

1,289 Publications have been cited 7,015 times in 2,824 Documents Cited by Year
Fast Lyapunov indicators. Application to asteroidal motion. Zbl 0892.70008
Froeschlé, Claude; Lega, Elena; Gonczi, Robert
1997
How the method of minimization of action avoids singularities. Zbl 1073.70011
Marchal, C.
2002
Kepler’s problem in constant curvature spaces. Zbl 0765.70007
Kozlov, Valeri V.; Harin, Alexander O.
1992
Existence of invariant tori in three-dimensional measure-preserving mappings. Zbl 0705.70013
Cheng, Chongqing; Sun, Yisui
1990
Low energy transfer to the Moon. Zbl 0995.70009
Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D.
2001
Recent progress in the theory and application of symplectic integrators. Zbl 0777.70002
Yoshida, Haruo
1993
On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool. Zbl 0986.37075
Froeschlé, Claude; Lega, Elena
2000
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’.) Zbl 0984.70009
Chenciner, Alain; Venturelli, Andrea
2000
Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia. Zbl 0881.70008
Werner, Robert A.; Scheeres, Daniel J.
1997
Stability of the planetary three-body problem. I: Expansion of the planetary Hamiltonian. Zbl 0837.70008
1995
Reduction, relative equilibria and potential in the two rigid bodies problem. Zbl 0883.70007
Maciejewski, Andrzej J.
1995
High-order symplectic integrators for perturbed Hamiltonian systems. Zbl 1013.70002
2001
Seven-body central configurations: a family of central configurations in the spatial seven-body problem. Zbl 1202.70014
Hampton, Marshall; Santoprete, Manuele
2007
New central configurations for the planar 5-body problem. Zbl 1251.70012
Llibre, Jaume; Mello, Luis Fernando
2008
On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011
Belbruno, Edward; Llibre, Jaume; Ollé, Mercè
1994
Symplectic integrators for long-term integrations in celestial mechanics. Zbl 0744.70016
Gladman, Brett; Duncan, Martin; Candy, Jeff
1991
$$J_2$$ invariant relative orbits for spacecraft formations. Zbl 0989.70018
Schaub, Hanspeter; Alfriend, Kyle T.
2001
Stability in the full two-body problem. Zbl 1027.70012
Scheeres, D. J.
2002
On the vertical families of two-dimensional tori near the triangular points of the bicircular problem. Zbl 0977.70009
Castellà, Enric; Jorba, Àngel
2000
Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions. Zbl 0837.70009
Robutel, Philippe
1995
The Lissajous transformation. I: Basics. Zbl 0756.70014
Deprit, André
1991
Study of the transfer from the Earth to a halo orbit around the equilibrium point $$L_ 1$$. Zbl 0780.70007
Gómez, G.; Jorba, A.; Masdemont, J.; Simó, C.
1993
On the stability of the Lagrangian points in the spatial restricted problem of three bodies. Zbl 0724.70023
Celletti, Alessandra; Giorgilli, Antonio
1991
Hamiltonian dynamics of a rigid body in a central gravitational field. Zbl 0737.70003
1991
Central configurations of the five-body problem with equal masses. Zbl 1204.70013
Lee, Tsung-Lin; Santoprete, Manuele
2009
Tidal friction in close-in satellites and exoplanets: the Darwin theory re-visited. Zbl 1342.70038
Ferraz-Mello, Sylvio; Rodríguez, Adrián; Hussmann, Hauke
2008
A note on weak stability boundaries. Zbl 1162.70006
García, F.; Gómez, G.
2007
The Lissajous transformation. II: Normalization. Zbl 0756.70015
Deprit, André; Elipe, Antonio
1991
Low-energy, low-thrust transfers to the Moon. Zbl 1223.70091
Mingotti, G.; Topputo, F.; Bernelli-Zazzera, F.
2009
Frozen orbits for satellites close to an Earth-like planet. Zbl 0840.70020
Coffey, Shannon L.; Deprit, André; Deprit, Etienne
1994
Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029
Soulis, P. S.; Papadakis, K. E.; Bountis, T.
2008
New stacked central configurations for the planar 5-body problem. Zbl 1270.70039
Llibre, Jaume; Mello, Luis Fernando; Perez-Chavela, Ernesto
2011
Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050
Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena
2005
Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time. Zbl 1147.70316
Yagasaki, Kazuyuki
2004
Symplectic integrators and their application to dynamical astronomy. Zbl 0724.70019
Kinoshita, Hiroshi; Yoshida, Haruo; Nakai, Hiroshi
1991
Finiteness of spatial central configurations in the five-body problem. Zbl 1270.70038
Hampton, Marshall; Jensen, Anders
2011
The inverse problem for collinear central configurations. Zbl 0981.70012
Albouy, Alain; Moeckel, Richard
2000
Kolmogorov and Nekhoroshev theory for the problem of three bodies. Zbl 1165.70010
Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco
2009
Symmetric planar central configurations of five bodies: Euler plus two. Zbl 1223.70031
Gidea, Marian; Llibre, Jaume
2010
Stationary orbits in resonant extrasolar planetary systems. Zbl 1094.85002
Michtchenko, T. A.; Beaugé, C.; Ferraz-Mello, S.
2006
Homographic solutions in the planar $$n+1$$ body problem with quasi-homogeneous potentials. Zbl 1162.70314
Arribas, Mercedes; Elipe, Antonio; Kalvouridis, Tilemahos; Palacios, Manuel
2007
Stability of the planar full 2-body problem. Zbl 1165.70008
Scheeres, D. J.
2009
A new analytic approach to the Sitnikov problem. Zbl 0757.70006
Hagel, J.
1992
Quantitative predictions with detuned normal forms. Zbl 1154.70328
Pucacco, Giuseppe; Boccaletti, Dino; Belmonte, Cinzia
2008
Lie group variational integrators for the full body problem in orbital mechanics. Zbl 1330.70003
Lee, Taeyoung; Leok, Melvin; McClamroch, N. Harris
2007
The gravitational potential of a homogeneous polyhedron or don’t cut corners. Zbl 0825.70059
Werner, Robert A.
1994
New families of periodic orbits in Hill’s problem of three bodies. Zbl 1062.70018
Hénon, Michel
2003
Evolution of migrating planet pairs in resonance. Zbl 1087.70007
Ferras-Mello, S.; Beauge, C.; Michtchenko, T. A.
2003
Large scale chaos and marginal stability in the solar system. Zbl 0886.70012
1996
The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007
Morbidelli, Alessandro; Guzzo, Massimiliano
1997
Tidal torques: a critical review of some techniques. Zbl 1223.70059
Efroimsky, Michael; Williams, James G.
2009
Quaternions and the perturbed Kepler problem. Zbl 1152.70303
Waldvogel, Jörg
2006
The restricted two-body problem in constant curvature spaces. Zbl 1116.70015
Borisov, Alexey V.; Mamaev, Ivan S.
2006
Equilibrium points and central configurations for the Lennard-Jones 2- and 3-body problems. Zbl 1151.70310
Corbera, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto
2004
The phase space structure around $$L_4$$ in the restricted three-body problem. Zbl 0995.70007
Sándor, Zsolt; Érdi, Bálint; Efthymiopoulos, Christos
2000
A class of periodic solutions of the $$N$$-body problem. Zbl 0684.70006
Coti Zelati, Vittorio
1989
Central configurations of the planar $$1+N$$ body problem. Zbl 0821.70007
Casasayas, Josefina; Llibre, Jaume; Nunes, Ana
1994
Application of high order expansions of two-point boundary value problems to astrodynamics. Zbl 1223.70081
Di Lizia, P.; Armellin, R.; Lavagna, M.
2008
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141
Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano
2006
Central configurations of the planar coorbital satellite problem. Zbl 1145.70318
Cors, Josep M.; Llibre, Jaume; Ollé, Mercè
2004
The existence and stability of equilibrium points in the Robe’s restricted three-body problem. Zbl 1006.70011
Hallan, P. P.; Rana, Neelam
2001
Some properties of the dumbbell satellite attitude dynamics. Zbl 1342.70024
2008
On the Sitnikov problem. Zbl 0718.70005
Liu, Jie; Sun, Yisui
1990
Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations. Zbl 1266.70045
2011
On target for Venus – set oriented computation of energy efficient low thrust trajectories. Zbl 1219.70067
Dellnitz, Michael; Junge, Oliver; Post, Marcus; Thiere, Bianca
2006
The symmetrical one-dimensional Newtonian four-body problem: A numerical investigation. Zbl 1014.70012
Sweatman, Winston L.
2002
Orbit determination with very short arcs. I: Admissible regions. Zbl 1144.70007
Milani, Andrea; Gronchi, Giovanni F.; Vitturi, Mattia De’ Michieli; Knežević, Zoran
2004
The relative Lyapunov indicator: an efficient method of chaos detection. Zbl 1109.37033
Sándor, Zsolt; Bálint, Érdi; Széll, András; Funk, Barbara
2004
Symmetries and bifurcations in the Sitnikov problem. Zbl 0993.70010
2001
Existence and stability of libration points in the restricted three-body problem when the primaries are triaxial rigid bodies. Zbl 0999.70010
Sharma, Ravinder Kumar; Taqvi, Z. A.; Bhatnagar, K. B.
2001
Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035
Celletti, Alessandra; Chierchia, Luigi
2008
Secular perturbation theory and computation of asteroid proper elements. Zbl 0724.70008
Milani, Andrea; Knežević, Zoran
1990
The global solution of the n-body problem. Zbl 0726.70006
Wang, Qui-Dong
1991
A semi-numerical perturbation method for separable Hamiltonian systems. Zbl 0728.70023
Henrard, Jacques
1990
Mutual potential of homogeneous polyhedra. Zbl 1151.70312
Werner, Robert A.; Scheeres, Daniel J.
2005
Solution of the Sitnikov problem. Zbl 1106.70323
Faruque, B.
2003
Ejection-collision orbits and invariant punctured tori in a restricted four-body problem. Zbl 0951.70008
Maranhão, Dante L.; Llibre, Jaume
1999
Partial reduction in the $$N$$-body planetary problem using the angular momentum integral. Zbl 1026.70016
Malige, F.; Robutel, P.; Laskar, J.
2002
Resonant periodic motion and the stability of extrasolar planetary systems. Zbl 1083.70016
2002
On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows. Zbl 1083.70011
Fouchard, Marc; Lega, Elena; Froeschlé, Christiane; Froeschlé, Claude
2002
Periodic orbits around a massive straight segment. Zbl 0954.70013
Riaguaś, Andrés; Elipe, Antonio; Lara, Martín
1999
Decomposition of functions for elliptic orbits. Zbl 0822.70008
Osácar, Carlos; Palacián, Jesús
1994
Fast computation of complete elliptic integrals and Jacobian elliptic functions. Zbl 1223.70005
Fukushima, Toshio
2009
Second-order state transition for relative motion near perturbed, elliptic orbits. Zbl 1162.70023
Sengupta, Prasenjit; Vadali, Srinivas R.; Alfriend, Kyle T.
2007
On motions near the Lagrange equilibrium point $$L_4$$ in the case of Routh’s critical mass ratio. Zbl 1082.70004
Bardin, Boris
2002
Lagrangian coherent structures in the planar elliptic restricted three-body problem. Zbl 1157.70004
Gawlik, Evan S.; Marsden, Jerrold E.; Du Toit, Philip C.; Campagnola, Stefano
2009
Non-integrability of the generalized two fixed centres problem. Zbl 1132.70006
Maciejewski, Andrzej J.; Przybylska, Maria
2004
Invariant tori in the secular motions of the three-body planetary systems. Zbl 0995.70006
Locatelli, Ugo; Giorgilli, Antonio
2000
The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem. Zbl 1162.70311
Perdios, E. A.
2007
Gravitational field of fractal distribution of particles. Zbl 1145.85002
Tarasov, Vasily E.
2006
A family of symmetrical Schubart-like interplay orbits and their stability in the one-dimensional four-body problem. Zbl 1145.70007
Sweatman, Winston L.
2006
Generalized problem of two and four Newtonian centers. Zbl 1129.70010
Borisov, Alexey V.; Mamaev, Ivan S.
2005
The stability of vertical motion in the $$N$$-body circular Sitnikov problem. Zbl 1165.70012
2009
A parametric study of stability and resonances around $$L_4$$ in the elliptic restricted three-body problem. Zbl 1165.70009
Érdi, Bálint; Forgács-Dajka, Emese; Nagy, Imre; Rajnai, Renáta
2009
Stability of Trojan planets in multi-planetary systems. Zbl 1165.70019
Schwarz, R.; Süli, Á.; Dvorak, R.; Pilat-Lohinger, E.
2009
Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields. Zbl 1106.70330
Maciejewski, A. J.; Przybylska, M.
2003
Periodic orbits of a collinear restricted three-body problem. Zbl 1062.70016
Corbera, Montserrat; Llibre, Jaume
2003
Linear stability of a self-gravitating ring. Zbl 0850.70148
Scheeres, D. J.; Vinh, N. X.
1991
The elliptic restricted problem at the 3:1 resonance. Zbl 0850.70100
1992
On the relationship between Lyapunov times and macroscopic instability times. Zbl 0880.58010
Morbidelli, Alessandro; Froeschlé, Claude
1996
Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. Zbl 1486.70053
Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael
2022
Overlong simulations of the solar system dynamics with two alternating step-lengths. Zbl 1490.70042
Mikkola, Seppo; Lehto, Harry J.
2022
Families of Halo-like invariant tori around $$L_2$$ in the Earth-Moon bicircular problem. Zbl 1472.70032
Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc
2021
Identification of asteroid groups in the $$z_1$$ and $$z_2$$ nonlinear secular resonances through genetic algorithms. Zbl 1472.70033
Carruba, V.; Aljbaae, S.; Domingos, R. C.
2021
The planar two-body problem for spheroids and disks. Zbl 1472.70021
Wold, Margrethe; Conway, John T.
2021
The orbital evolution of resonant chains of exoplanets incorporating circularisation produced by tidal interaction with the central star with application to the HD 158259 and EPIC 245950175 systems. Zbl 1472.70051
Papaloizou, J. C. B.
2021
Elliptical shape-based model for multi-revolution planeto-centric mission scenarios. Zbl 1466.70038
Prinetto, Jacopo; Lavagna, Michelle
2021
Periodic solutions of a generalized Sitnikov problem. Zbl 1466.70012
Beltritti, Gastón
2021
Shannon entropy diffusion estimates: sensitivity on the parameters of the method. Zbl 1466.70023
Cincotta, Pablo M.; Giordano, Claudia M.; Silva, Raphael Alves; Beaugé, Cristián
2021
On a set of $$J_2$$ equinoctial orbital elements and their use for uncertainty propagation. Zbl 1466.70027
Aristoff, Jeffrey M.; Horwood, Joshua T.; Alfriend, Kyle T.
2021
Normal forms for the Laplace resonance. Zbl 1468.70015
Pucacco, Giuseppe
2021
Extended analytical formulae for the perturbed Keplerian motion under low-thrust acceleration and orbital perturbations. Zbl 1466.70040
Di Carlo, Marilena; da Graça Marto, Simão; Vasile, Massimiliano
2021
An analytical model for tidal evolution in co-orbital systems. I: Application to exoplanets. Zbl 1490.70053
Couturier, Jérémy; Robutel, Philippe; Correia, Alexandre C. M.
2021
Applying data mining techniques to higher-dimensional Poincaré maps in the circular restricted three-body problem. Zbl 1482.70009
Bonasera, Stefano; Bosanac, Natasha
2021
A flow-informed strategy for ballistic capture orbit generation. Zbl 1482.70026
Manzi, M.; Topputo, F.
2021
Transfers from the Earth to $$L_2$$ halo orbits in the Earth-Moon bicircular problem. Zbl 1482.70010
Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc
2021
The vicinity of the Earth-Moon $$L_1$$ point in the bicircular problem. Zbl 1443.70040
Jorba, Àngel; Jorba-Cuscó, Marc; Rosales, José J.
2020
Numerical integration in celestial mechanics: a case for contact geometry. Zbl 1443.65027
Bravetti, Alessandro; Seri, Marcello; Vermeeren, Mats; Zadra, Federico
2020
Cassini states of a rigid body with a liquid core. Zbl 1448.70009
Boué, Gwenaël
2020
Use of the semilinear method to predict the impact corridor on ground. Zbl 1448.70035
Dimare, Linda; Del Vigna, Alessio; Bracali Cioci, Davide; Bernardi, Fabrizio
2020
The geometry of isochrone orbits: from Archimedes’ parabolae to Kepler’s third law. Zbl 1443.70053
Ramond, Paul; Perez, Jérôme
2020
Near rectilinear halo orbits and nearby higher-period dynamical structures: orbital stability and resonance properties. Zbl 1448.70085
Zimovan-Spreen, Emily M.; Howell, Kathleen C.; Davis, Diane C.
2020
Secular resonance sweeping and orbital excitation in decaying disks. Zbl 1448.70079
Toliou, Athanasia; Tsiganis, Kleomenis; Tsirvoulis, Georgios
2020
The effect of zonal harmonics on dynamical structures in the circular restricted three-body problem near the secondary body. Zbl 1470.70015
Bury, Luke; McMahon, Jay
2020
Observing Mercury by a quasi-propellantless mission. Zbl 1448.70064
Carbone, Andrea; Cinelli, Marco; Circi, Christian; Ortore, Emiliano
2020
Uniform formulation for orbit computation: the intermediate elements. Zbl 1448.70063
Baù, Giulio; Roa, Javier
2020
A dissipative Kepler problem with a family of singular drags. Zbl 1443.70039
Margheri, Alessandro; Misquero, Mauricio
2020
Analytical shape uncertainties in the polyhedron gravity model. Zbl 1451.70030
Bercovici, Benjamin; Panicucci, Paolo; McMahon, Jay
2020
Pfaffians and the inverse problem for collinear central configurations. Zbl 1448.70027
Ferrario, Davide L.
2020
Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune. Zbl 1448.70040
Kotoulas, T.; Voyatzis, G.
2020
Centaur and giant planet crossing populations: origin and distribution. Zbl 1448.70065
Di Sisto, Romina P.; Rossignoli, Natalia L.
2020
Evolution of orbits about comets with arbitrary comae. Zbl 1448.70070
Moretto, Mark; McMahon, Jay
2020
Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families. Zbl 1448.70054
Murray, Maxime; Mireles James, J. D.
2020
Periodic orbits of the two fixed centers problem with a variational gravitational field. Zbl 1448.70019
Gao, Fabao; Llibre, Jaume
2020
Orbit determination for standard-like maps: asymptotic expansion of the confidence region in regular zones. Zbl 1448.70068
Marò, Stefano
2020
Transfers from distant retrograde orbits to low lunar orbits. Zbl 1448.70084
Zhang, Ruikang; Wang, Yue; Zhang, Hao; Zhang, Chen
2020
The manifold of variations: hazard assessment of short-term impactors. Zbl 1470.70033
Del Vigna, Alessio
2020
Order-chaos-order and invariant manifolds in the bounded planar Earth-Moon system. Zbl 1470.70016
de Oliveira, Vitor M.; Sousa-Silva, Priscilla A.; Caldas, Iberê L.
2020
Dynamical taxonomy of the coupled solar radiation pressure and oblateness problem and analytical deorbiting configurations. Zbl 1470.70021
Gkolias, Ioannis; Alessi, Elisa Maria; Colombo, Camilla
2020
Central configurations in the spatial $$n$$-body problem for $$n=5,6$$ with equal masses. Zbl 1470.70018
2020
Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence. Zbl 1448.70024
Burgos-García, Jaime; Lessard, Jean-Philippe; James, J. D. Mireles
2019
Classifying four-body convex central configurations. Zbl 1451.70022
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
2019
A family of periodic orbits in the three-dimensional lunar problem. Zbl 1448.70032
Belbruno, Edward; Frauenfelder, Urs; van Koert, Otto
2019
Semi-analytical model for third-body perturbations including the inclination and eccentricity of the perturbing body. Zbl 1451.70019
Nie, Tao; Gurfil, Pini; Zhang, Shijie
2019
Central configurations in planar $$n$$-body problem with equal masses for $$n=5,6,7$$. Zbl 1451.70024
2019
Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set. Zbl 1451.70033
Kepley, Shane; Mireles James, J. D.
2019
A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. Zbl 1451.70032
Gierzkiewicz, Anna; Zgliczyński, Piotr
2019
Low-energy transfers to the Moon with long transfer time. Zbl 1448.70072
Oshima, Kenta; Topputo, Francesco; Yanao, Tomohiro
2019
The use of vertical instability of $$L_1$$ and $$L_2$$ planar Lyapunov orbits for transfers from near rectilinear halo orbits to planar distant retrograde orbits in the Earth-Moon system. Zbl 1451.70051
Oshima, Kenta
2019
Towards a sustainable exploitation of the geosynchronous orbital region. Zbl 1451.70042
Gkolias, Ioannis; Colombo, Camilla
2019
Planar $$N$$-body central configurations with a homogeneous potential. Zbl 1451.70023
Hampton, Marshall
2019
A first integral to the partially averaged Newtonian potential of the three-body problem. Zbl 1448.70022
Pinzari, Gabriella
2019
A search for triple collision orbits inside the domain of the free-fall three-body problem. Zbl 1451.70034
Tanikawa, Kiyotaka; Saito, Masaya M.; Mikkola, Seppo
2019
Tidal evolution of the Keplerian elements. Zbl 1451.70009
Boué, Gwenaël; Efroimsky, Michael
2019
A frequency portrait of low Earth orbits. Zbl 1451.70055
Schettino, Giulia; Alessi, Elisa Maria; Rossi, Alessandro; Valsecchi, Giovanni B.
2019
Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance. Zbl 1451.70054
Sansottera, Marco; Libert, Anne-Sophie
2019
A new radial, natural, higher-order intermediary of the main problem four decades after the elimination of the parallax. Zbl 1451.70036
Lara, Martin
2019
Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations. Zbl 1451.70029
Alessi, Elisa Maria; Colombo, Camilla; Rossi, Alessandro
2019
Structure of the centre manifold of the $$L_1$$, $$L_2$$ collinear libration points in the restricted three-body problem. Zbl 1451.70021
Pucacco, Giuseppe
2019
Shannon entropy applied to the planar restricted three-body problem. Zbl 1451.70017
Beaugé, C.; Cincotta, P. M.
2019
The Lissajous-Kustaanheimo-Stiefel transformation. Zbl 1448.70014
Breiter, Slawomir; Langner, Krzysztof
2019
Dynamical structures in a low-thrust, multi-body model with applications to trajectory design. Zbl 1451.70018
Cox, Andrew D.; Howell, Kathleen C.; Folta, David C.
2019
Symmetric periodic orbits in the Moulton-Copenhagen problem. Zbl 1451.70026
Palacios, Manuel; Arribas, Mercedes; Abad, Alberto; Elipe, Antonio
2019
A monotonic starter for solving the hyperbolic Kepler equation by Newton’s method. Zbl 1451.70010
Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L.
2019
Non-averaged regularized formulations as an alternative to semi-analytical orbit propagation methods. Zbl 1451.70037
Amato, Davide; Bombardelli, Claudio; Baù, Giulio; Morand, Vincent; Rosengren, Aaron J.
2019
Spatial unstable periodic quasi-satellite orbits and their applications to spacecraft trajectories. Zbl 1451.70025
Oshima, Kenta; Yanao, Tomohiro
2019
Are the analytical proper elements of asteroids still needed? Zbl 1451.70045
Knežević, Zoran; Milani, Andrea
2019
Mixed-model gravity representations for small celestial bodies using mascons and spherical harmonics. Zbl 1451.70057
Wittick, Patrick T.; Russell, Ryan P.
2019
Planetary encounter analysis on the B-plane: a comprehensive formulation. Zbl 1451.70041
Farnocchia, Davide; Eggl, Siegfried; Chodas, Paul W.; Giorgini, Jon D.; Chesley, Steven R.
2019
Lambert’s theorem: geometry or dynamics? Zbl 1451.70008
Albouy, Alain
2019
Analytic orbit theory with any arbitrary spherical harmonic as the dominant perturbation. Zbl 1451.70048
Mahajan, Bharat; Alfriend, Kyle T.
2019
Charged dust close to outer mean-motion resonances in the heliosphere. Zbl 1451.70047
Lhotka, Christoph; Galeş, Cătălin
2019
On the solution to every Lambert problem. Zbl 1451.70014
Russell, Ryan P.
2019
Reduction and relative equilibria for the two-body problem on spaces of constant curvature. Zbl 1396.70011
Borisov, A. V.; García-Naranjo, L. C.; Mamaev, I. S.; Montaldi, J.
2018
Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the $$n$$-body problem. Zbl 1396.70015
Calleja, Renato; Doedel, Eusebius; García-Azpeitia, Carlos
2018
Free time minimizers for the three-body problem. Zbl 1390.70022
Moeckel, Richard; Montgomery, Richard; Sánchez Morgado, Héctor
2018
Exact Delaunay normalization of the perturbed Keplerian Hamiltonian with tesseral harmonics. Zbl 1390.70061
Mahajan, Bharat; Vadali, Srinivas R.; Alfriend, Kyle T.
2018
The eccentric Kozai-Lidov effect as a resonance phenomenon. Zbl 1382.70008
2018
On the chaotic diffusion in multidimensional Hamiltonian systems. Zbl 1382.37083
Cincotta, P. M.; Giordano, C. M.; Martí, J. G.; Beaugé, C.
2018
The Shannon entropy as a measure of diffusion in multidimensional dynamical systems. Zbl 1447.70015
Giordano, C. M.; Cincotta, P. M.
2018
A reverse KAM method to estimate unknown mutual inclinations in exoplanetary systems. Zbl 1391.70034
Volpi, Mara; Locatelli, Ugo; Sansottera, Marco
2018
Lunar frozen orbits revisited. Zbl 1448.70071
Nie, Tao; Gurfil, Pini
2018
A database of planar axisymmetric periodic orbits for the solar system. Zbl 1447.70029
Restrepo, Ricardo L.; Russell, Ryan P.
2018
Resonance tongues in the linear Sitnikov equation. Zbl 1391.70032
Misquero, Mauricio
2018
Tidal synchronization of close-in satellites and exoplanets. III: Tidal dissipation revisited and application to Enceladus. Zbl 1445.70007
Folonier, H. A.; Ferraz-Mello, S.; Andrade-Ines, E.
2018
Phase correlations in chaotic dynamics: a Shannon entropy measure. Zbl 1448.70055
Cincotta, P. M.; Giordano, C. M.
2018
Metrics in Keplerian orbits quotient spaces. Zbl 1390.70033
Milanov, Danila V.
2018
Tilting Styx and Nix but not Uranus with a spin-precession-mean-motion resonance. Zbl 1390.70062
Quillen, Alice C.; Chen, Yuan-Yuan; Noyelles, Benoît; Loane, Santiago
2018
Numerical integration of the $$N$$-body ring problem by recurrent power series. Zbl 1390.70023
Navarro, Juan F.
2018
Inclined asymmetric librations in exterior resonances. Zbl 1447.70017
Voyatzis, G.; Tsiganis, K.; Antoniadou, K. I.
2018
Variational and symplectic integrators for satellite relative orbit propagation including drag. Zbl 1391.70061
Palacios, Leonel; Gurfil, Pini
2018
Dynamics of “jumping” Trojans: a perturbative treatment. Zbl 1448.70078
2018
The effects of deformation inertia (kinetic energy) in the orbital and spin evolution of close-in bodies. Zbl 1447.70021
Correia, A. C. M.; Ragazzo, C.; Ruiz, L. S.
2018
Capture into first-order resonances and long-term stability of pairs of equal-mass planets. Zbl 1447.70028
Pichierri, Gabriele; Morbidelli, Alessandro; Crida, Aurélien
2018
The Sitnikov problem for several primary bodies configurations. Zbl 1396.70014
Beltritti, Gastón; Mazzone, Fernando; Oviedo, Martina
2018
A satellite relative motion model including $$J_2$$ and $$J_3$$ via Vinti’s intermediary. Zbl 1390.70059
Biria, Ashley D.; Russell, Ryan P.
2018
Cartography of the $$b$$-plane of a close encounter I: semimajor axes of post-encounter orbits. Zbl 1390.70035
Valsecchi, G. B.; Alessi, E. M.; Rossi, A.
2018
Averaged model to study long-term dynamics of a probe about Mercury. Zbl 1447.70031
Tresaco, Eva; Carvalho, Jean Paulo S.; Prado, Antonio F. B. A.; Elipe, Antonio; Vilhena de Moraes, Rodolpho
2018
The dynamics of the de Sitter resonance. Zbl 1447.70014
Celletti, Alessandra; Paita, Fabrizio; Pucacco, Giuseppe
2018
Counting relative equilibrium configurations of the full two-body problem. Zbl 1390.70015
Moeckel, Richard
2018
...and 1189 more Documents
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### Cited by 2,798 Authors

 63 Llibre, Jaume 46 Vidal, Claudio 37 Celletti, Alessandra 34 Pérez-Chavela, Ernesto 30 Guzzo, Massimiliano 29 Elipe, Antonio 29 Palacián, Jesús F. 26 Scheeres, Daniel J. 23 Lega, Elena 22 Zhang, Shiqing 21 Maciejewski, Andrzej J. 21 Pucacco, Giuseppe 21 Zotos, Euaggelos E. 20 Fukushima, Toshio 20 Yan, Duokui 19 Diacu, Florin Nicolae 19 Froeschlé, Claude 19 Lara, Martín 19 Morbidelli, Alessandro 19 Singh, Jagadish 19 Yanguas, Patricia 18 Efthymiopoulos, Christos 18 Ferrer, Sebastián 18 Gurfil, Pini 18 Simó, Carles 17 Iorio, Lorenzo 17 Kalvouridis, Tilemahos J. 17 Xu, Ming 17 Xu, Shijie 16 Alvarez-Ramírez, Martha 16 Armellin, Roberto 16 Blanes, Sergio 16 Cors, Josep Maria 16 Ouyang, Tiancheng 16 Papadakis, Konstantinos E. 16 Przybylska, Maria 16 Vera, Juan A. 16 Xie, Zhifu 15 Baoyin, Hexi 15 Gronchi, Giovanni-Federico 15 Jorba, Àngel 15 Mello, Luis Fernando O. 15 Pinzari, Gabriella 15 Topputo, Francesco 14 Borisov, Alekseĭ Vladimirovich 14 Cincotta, Pablo M. 14 Fernandes, Antonio Carlos 14 García Guirao, Juan Luis 14 Hadjidemetriou, John D. 14 Kholshevnikov, Konstantin Vladislavovich 14 Lhotka, Christoph 14 Perdios, Efstathios A. 14 Robutel, Philippe 14 Russell, Ryan P. 14 Sansottera, Marco 14 Vilhena de Moraes, Rodolpho 14 Voyatzis, George 13 Corbera, Montserrat 13 Gómez, Gerard 13 Lanchares, Víctor 13 Mamaev, Ivan Sergeevich 13 Stoica, Cristina 13 Valls Anglés, Cláudia 12 Burov, Aleksandr Anatol’evich 12 Contopoulos, George 12 Lemaitre, Anne 12 Li, Junfeng 12 Masdemont, Josep J. 12 Mireles-James, Jason D. 12 Santoprete, Manuele 12 Sidorenko, Vladislav V. 12 Terracini, Susanna 11 Barrio, Roberto 11 Chierchia, Luigi 11 Circi, Christian 11 Da Silva Fernandes, Sandro 11 Dvorak, Rudolf 11 Giordano, Claudia M. 11 Laskar, Jacques 11 Locatelli, Ugo 11 Meiss, James D. 11 Prado, Antônio Fernando Bertachini de Almeida 11 San-Juan, Juan Félix 11 Zhao, Lei 10 Abouelmagd, Elbaz I. 10 Albouy, Alain 10 Beaugé, Cristián 10 Breiter, Sławomir 10 de la Llave, Rafael 10 Ferrándiz, José Manuel 10 Ferraz-Mello, Sylvio 10 García-Azpeitia, Carlos 10 Giorgilli, Antonio 10 Henrard, Jacques 10 Leok, Melvin 10 Marchesiello, Antonella 10 Moeckel, Richard 10 Tsiganis, Kleomenis 10 Valsecchi, Giovanni Battista 9 Alessi, Elisa Maria ...and 2,698 more Authors
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### Cited in 293 Journals

 977 Celestial Mechanics and Dynamical Astronomy 82 Physica D 74 Regular and Chaotic Dynamics 73 Astrophysics and Space Science 73 Journal of Mathematical Physics 68 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 68 Communications in Nonlinear Science and Numerical Simulation 50 Chaos 46 Journal of Differential Equations 41 Nonlinear Dynamics 40 Applied Mathematics and Computation 40 Qualitative Theory of Dynamical Systems 35 Journal of Nonlinear Science 34 Mathematical Problems in Engineering 32 Journal of Dynamics and Differential Equations 30 Chaos, Solitons and Fractals 30 Journal of Computational and Applied Mathematics 28 Archive for Rational Mechanics and Analysis 26 Journal of Mathematical Analysis and Applications 25 SIAM Journal on Applied Dynamical Systems 24 General Relativity and Gravitation 24 Journal of Geometry and Physics 22 Computational and Applied Mathematics 18 Nonlinearity 17 Earth, Moon, and Planets 15 Journal of Computational Physics 15 Physics Letters. A 15 Discrete and Continuous Dynamical Systems 14 International Journal of Modern Physics D 14 Acta Mechanica Sinica 13 Journal of Optimization Theory and Applications 12 Meccanica 12 Nonlinear Analysis. Real World Applications 11 Journal of Applied Mathematics and Mechanics 11 Prikladnaya Matematika i Mekhanika 11 Applied Numerical Mathematics 10 Communications in Mathematical Physics 10 Transactions of the American Mathematical Society 10 Acta Applicandae Mathematicae 10 Vestnik St. Petersburg University. Mathematics 10 Discrete and Continuous Dynamical Systems. Series B 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Proceedings of the American Mathematical Society 9 Numerical Algorithms 9 Dynamical Systems 9 Russian Journal of Nonlinear Dynamics 8 International Journal of Theoretical Physics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Applied Mathematics Letters 8 International Journal of Computer Mathematics 8 Abstract and Applied Analysis 8 Journal of Nonlinear Mathematical Physics 7 Journal of Fluid Mechanics 7 Journal of Applied Mathematics 7 Applications and Applied Mathematics 7 Journal of Physics A: Mathematical and Theoretical 7 Discrete and Continuous Dynamical Systems. Series S 7 Journal of Computational Dynamics 6 Acta Mechanica 6 Classical and Quantum Gravity 6 Computers & Mathematics with Applications 6 Journal of the Franklin Institute 6 International Journal for Numerical Methods in Engineering 6 Applied Mathematics and Mechanics. (English Edition) 6 Acta Mathematica Sinica. English Series 6 Journal of Geometric Mechanics 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Computer Methods in Applied Mechanics and Engineering 5 Theoretical and Mathematical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 BIT 5 Mathematics and Computers in Simulation 5 Numerische Mathematik 5 Journal of Mathematical Sciences (New York) 5 Differential Equations and Dynamical Systems 5 International Journal of Modern Physics C 5 Journal of Dynamical Systems and Geometric Theories 5 Advances in Mathematical Physics 4 Astronomische Nachrichten 4 Journal of Statistical Physics 4 Physica A 4 Mathematics of Computation 4 The Mathematical Intelligencer 4 Advances in Mathematics 4 Automatica 4 Inventiones Mathematicae 4 Ergodic Theory and Dynamical Systems 4 Systems & Control Letters 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Indagationes Mathematicae. New Series 4 SIAM Journal on Scientific Computing 4 Calculus of Variations and Partial Differential Equations 4 Journal of Difference Equations and Applications 4 Journal of Geodesy 4 Russian Physics Journal 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Fixed Point Theory and Applications 4 Frontiers of Mathematics in China 4 AMM. Applied Mathematics and Mechanics. (English Edition) 4 Mathematics in Engineering ...and 193 more Journals
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### Cited in 55 Fields

 2,164 Mechanics of particles and systems (70-XX) 841 Dynamical systems and ergodic theory (37-XX) 295 Ordinary differential equations (34-XX) 268 Numerical analysis (65-XX) 207 Astronomy and astrophysics (85-XX) 118 Relativity and gravitational theory (83-XX) 68 Partial differential equations (35-XX) 67 Fluid mechanics (76-XX) 62 Quantum theory (81-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 54 Systems theory; control (93-XX) 50 Differential geometry (53-XX) 45 Optics, electromagnetic theory (78-XX) 41 Mechanics of deformable solids (74-XX) 37 Special functions (33-XX) 30 Statistical mechanics, structure of matter (82-XX) 26 Geophysics (86-XX) 23 Computer science (68-XX) 21 Global analysis, analysis on manifolds (58-XX) 18 Operations research, mathematical programming (90-XX) 13 Operator theory (47-XX) 12 Biology and other natural sciences (92-XX) 11 History and biography (01-XX) 11 Commutative algebra (13-XX) 11 Information and communication theory, circuits (94-XX) 10 Algebraic geometry (14-XX) 9 General and overarching topics; collections (00-XX) 9 Nonassociative rings and algebras (17-XX) 9 Real functions (26-XX) 9 Statistics (62-XX) 8 Field theory and polynomials (12-XX) 8 Difference and functional equations (39-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Probability theory and stochastic processes (60-XX) 6 Topological groups, Lie groups (22-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Geometry (51-XX) 5 Measure and integration (28-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Algebraic topology (55-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Number theory (11-XX) 2 Category theory; homological algebra (18-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX)