Celestial Mechanics and Dynamical AstronomyAn International Journal of Space Dynamics Short Title: Celest. Mech. Dyn. Astron. Publisher: Springer Netherlands, Dordrecht ISSN: 0923-2958; 1572-9478/e Online: https://link.springer.com/journal/10569/volumes-and-issues Predecessor: Celestial Mechanics Comments: Journal Documents Indexed: 1,884 Publications (since 1989) References Indexed: 1,412 Publications with 36,878 References. all top 5 Latest Issues 135, No. 6 (2023) 135, No. 5 (2023) 135, No. 4 (2023) 135, No. 3 (2023) 135, No. 2 (2023) 135, No. 1 (2023) 134, No. 6 (2022) 134, No. 5 (2022) 134, No. 4 (2022) 134, No. 3 (2022) 134, No. 2 (2022) 134, No. 1 (2022) 133, No. 11-12 (2021) 133, No. 10 (2021) 133, No. 9 (2021) 133, No. 8 (2021) 133, No. 7 (2021) 133, No. 6 (2021) 133, No. 5 (2021) 133, No. 4 (2021) 133, No. 3 (2021) 133, No. 2 (2021) 133, No. 1 (2021) 132, No. 11-12 (2020) 132, No. 10 (2020) 132, No. 9 (2020) 132, No. 8 (2020) 132, No. 6-7 (2020) 132, No. 5 (2020) 132, No. 4 (2020) 132, No. 3 (2020) 132, No. 2 (2020) 132, No. 1 (2020) 131, No. 12 (2019) 131, No. 11 (2019) 131, No. 10 (2019) 131, No. 9 (2019) 131, No. 8 (2019) 131, No. 7 (2019) 131, No. 6 (2019) 131, No. 5 (2019) 131, No. 4 (2019) 131, No. 3 (2019) 131, No. 2 (2019) 131, No. 1 (2019) 130, No. 12 (2018) 130, No. 11 (2018) 130, No. 10 (2018) 130, No. 9 (2018) 130, No. 8 (2018) 130, No. 7 (2018) 130, No. 6 (2018) 130, No. 5 (2018) 130, No. 4 (2018) 130, No. 3 (2018) 130, No. 2 (2018) 130, No. 1 (2018) 129, No. 4 (2017) 129, No. 3 (2017) 129, No. 1-2 (2017) 128, No. 4 (2017) 128, No. 2-3 (2017) 128, No. 1 (2017) 127, No. 4 (2017) 127, No. 3 (2017) 127, No. 2 (2017) 127, No. 1 (2017) 126, No. 4 (2016) 126, No. 1-3 (2016) 125, No. 4 (2016) 125, No. 3 (2016) 125, No. 2 (2016) 125, No. 1 (2016) 124, No. 4 (2016) 124, No. 3 (2016) 124, No. 2 (2016) 124, No. 1 (2016) 123, No. 4 (2015) 123, No. 3 (2015) 123, No. 2 (2015) 123, No. 1 (2015) 122, No. 4 (2015) 122, No. 3 (2015) 122, No. 2 (2015) 122, No. 1 (2015) 121, No. 4 (2015) 121, No. 3 (2015) 121, No. 2 (2015) 121, No. 1 (2015) 120, No. 4 (2014) 120, No. 3 (2014) 120, No. 2 (2014) 120, No. 1 (2014) 119, No. 3-4 (2014) 119, No. 2 (2014) 119, No. 1 (2014) 118, No. 4 (2014) 118, No. 3 (2014) 118, No. 2 (2014) 118, No. 1 (2014) ...and 238 more Volumes all top 5 Authors 38 Scheeres, Daniel J. 27 Celletti, Alessandra 23 Breiter, Sławomir 23 Elipe, Antonio 23 Froeschlé, Claude 22 Efthymiopoulos, Christos 22 Morbidelli, Alessandro 21 Dvorak, Rudolf 21 Henrard, Jacques 21 Llibre, Jaume 21 Mikkola, Seppo 19 Lega, Elena 19 Lemaitre, Anne 19 Maciejewski, Andrzej J. 19 Milani, Andrea 18 Hadjidemetriou, John D. 17 Gurfil, Pini 17 Valsecchi, Giovanni Battista 16 Armellin, Roberto 16 Érdi, Bálint 16 Voyatzis, George 15 Brumberg, Victor A. 15 Fukushima, Toshio 15 Gronchi, Giovanni-Federico 15 Lara, Martín 15 Laskar, Jacques 14 Beaugé, Cristián 14 Ferraz-Mello, Sylvio 14 Guzzo, Massimiliano 14 Kholshevnikov, Konstantin Vladislavovich 14 Sun, Yisui 13 Contopoulos, George 13 Gómez, Gerard 13 Pucacco, Giuseppe 13 Rossi, Alessandro 13 Tanikawa, Kiyotaka 12 Circi, Christian 12 Russell, Ryan P. 11 Alfriend, Kyle T. 11 Ferrándiz, José Manuel 11 Giorgilli, Antonio 11 Kinoshita, Hiroshi 11 Locatelli, Ugo 11 Muzzio, Juan C. 11 Sidorenko, Vladislav V. 11 Topputo, Francesco 10 Baù, Giulio 10 Howell, Kathleen Connor 10 Jorba, Àngel 10 Knežević, Zoran 10 Peláez, Jesús 10 Soffel, Michael H. 10 Tsiganis, Kleomenis 10 Voglis, Nikos 9 Alessi, Elisa Maria 9 Bombardelli, Claudio 9 Boué, Gwenaël 9 Bozis, George 9 Colombo, Camilla 9 Cors, Josep Maria 9 Froeschlé, Christiane 9 Lhotka, Christoph 9 McInnes, Colin R. 9 McMahon, Jay W. 9 Métris, Gilles 9 Mortari, Daniele 9 Sansottera, Marco 9 Vasile, Massimiliano 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 Perdios, Efstathios A. 8 Xu, Shijie 7 Bernelli-Zazzera, Franco 7 Casotto, Stefano 7 Corbera, Montserrat 7 Fienga, Agnès 7 Goździewski, Krzysztof 7 Hou, Xiyun 7 Ichtiaroglou, Simos 7 Masdemont, Josep J. 7 Michtchenko, Tatiana A. 7 Papaloizou, John Christopher Baillie 7 Pilat-Lohinger, Elke 7 Polymilis, C. 7 Przybylska, Maria 7 Rambaux, Nicolas 7 Rosengren, Aaron J. 7 Sándor, Zsolt 7 Wachlin, Felipe C. 7 Zhou, Jilin ...and 1,642 more Authors all top 5 Fields 1,777 Mechanics of particles and systems (70-XX) 274 Dynamical systems and ergodic theory (37-XX) 168 Astronomy and astrophysics (85-XX) 70 Numerical analysis (65-XX) 52 Ordinary differential equations (34-XX) 34 Geophysics (86-XX) 33 Optics, electromagnetic theory (78-XX) 28 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) 11 Computer science (68-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) 4 Global analysis, analysis on manifolds (58-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 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Probability theory and stochastic processes (60-XX) 1 Number theory (11-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) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,383 Publications have been cited 8,212 times in 3,176 Documents Cited by ▼ Year ▼ Fast Lyapunov indicators. Application to asteroidal motion. Zbl 0892.70008 Froeschlé, Claude; Lega, Elena; Gonczi, Robert 86 1997 Kepler’s problem in constant curvature spaces. Zbl 0765.70007 Kozlov, Valeri V.; Harin, Alexander O. 66 1992 How the method of minimization of action avoids singularities. Zbl 1073.70011 Marchal, C. 64 2002 Existence of invariant tori in three-dimensional measure-preserving mappings. Zbl 0705.70013 Cheng, Chongqing; Sun, Yisui 59 1990 Low energy transfer to the Moon. Zbl 0995.70009 Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D. 58 2001 Recent progress in the theory and application of symplectic integrators. Zbl 0777.70002 Yoshida, Haruo 49 1993 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 47 2000 On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool. Zbl 0986.37075 Froeschlé, Claude; Lega, Elena 47 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. 47 1997 Stability of the planetary three-body problem. I: Expansion of the planetary Hamiltonian. Zbl 0837.70008 Laskar, Jacques; Robutel, Philippe 43 1995 Reduction, relative equilibria and potential in the two rigid bodies problem. Zbl 0883.70007 Maciejewski, Andrzej J. 42 1995 High-order symplectic integrators for perturbed Hamiltonian systems. Zbl 1013.70002 Laskar, Jacques; Robutel, Philippe 37 2001 Low-energy, low-thrust transfers to the Moon. Zbl 1223.70091 Mingotti, G.; Topputo, F.; Bernelli-Zazzera, F. 36 2009 On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011 Belbruno, Edward; Llibre, Jaume; Ollé, Mercè 33 1994 New central configurations for the planar 5-body problem. Zbl 1251.70012 Llibre, Jaume; Mello, Luis Fernando 32 2008 On the vertical families of two-dimensional tori near the triangular points of the bicircular problem. Zbl 0977.70009 Castellà, Enric; Jorba, Àngel 32 2000 Symplectic integrators for long-term integrations in celestial mechanics. Zbl 0744.70016 Gladman, Brett; Duncan, Martin; Candy, Jeff 32 1991 Seven-body central configurations: a family of central configurations in the spatial seven-body problem. Zbl 1202.70014 Hampton, Marshall; Santoprete, Manuele 32 2007 Stability in the full two-body problem. Zbl 1027.70012 Scheeres, D. J. 32 2002 Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions. Zbl 0837.70009 Robutel, Philippe 30 1995 \(J_2\) invariant relative orbits for spacecraft formations. Zbl 0989.70018 Schaub, Hanspeter; Alfriend, Kyle T. 30 2001 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. 29 1993 On the stability of the Lagrangian points in the spatial restricted problem of three bodies. Zbl 0724.70023 Celletti, Alessandra; Giorgilli, Antonio 28 1991 The Lissajous transformation. I: Basics. Zbl 0756.70014 Deprit, André 27 1991 Finiteness of spatial central configurations in the five-body problem. Zbl 1270.70038 Hampton, Marshall; Jensen, Anders 27 2011 Central configurations of the five-body problem with equal masses. Zbl 1204.70013 Lee, Tsung-Lin; Santoprete, Manuele 26 2009 Stationary orbits in resonant extrasolar planetary systems. Zbl 1094.85002 Michtchenko, T. A.; Beaugé, C.; Ferraz-Mello, S. 26 2006 A note on weak stability boundaries. Zbl 1162.70006 García, F.; Gómez, G. 26 2007 Tidal friction in close-in satellites and exoplanets: the Darwin theory re-visited. Zbl 1342.70038 Ferraz-Mello, Sylvio; Rodríguez, Adrián; Hussmann, Hauke 25 2008 Hamiltonian dynamics of a rigid body in a central gravitational field. Zbl 0737.70003 Wang, Li-Sheng; Krishnaprasad, P. S.; Maddocks, J. H. 25 1991 Lie group variational integrators for the full body problem in orbital mechanics. Zbl 1330.70003 Lee, Taeyoung; Leok, Melvin; McClamroch, N. Harris 23 2007 Symmetric planar central configurations of five bodies: Euler plus two. Zbl 1223.70031 Gidea, Marian; Llibre, Jaume 23 2010 The inverse problem for collinear central configurations. Zbl 0981.70012 Albouy, Alain; Moeckel, Richard 23 2000 The gravitational potential of a homogeneous polyhedron or don’t cut corners. Zbl 0825.70059 Werner, Robert A. 23 1994 Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time. Zbl 1147.70316 Yagasaki, Kazuyuki 23 2004 Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050 Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena 23 2005 The Lissajous transformation. II: Normalization. Zbl 0756.70015 Deprit, André; Elipe, Antonio 23 1991 Kolmogorov and Nekhoroshev theory for the problem of three bodies. Zbl 1165.70010 Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco 23 2009 New stacked central configurations for the planar 5-body problem. Zbl 1270.70039 Llibre, Jaume; Mello, Luis Fernando; Perez-Chavela, Ernesto 23 2011 Frozen orbits for satellites close to an Earth-like planet. Zbl 0840.70020 Coffey, Shannon L.; Deprit, André; Deprit, Etienne 22 1994 The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007 Morbidelli, Alessandro; Guzzo, Massimiliano 22 1997 Stability of the planar full 2-body problem. Zbl 1165.70008 Scheeres, D. J. 22 2009 Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029 Soulis, P. S.; Papadakis, K. E.; Bountis, T. 22 2008 Homographic solutions in the planar \(n+1\) body problem with quasi-homogeneous potentials. Zbl 1162.70314 Arribas, Mercedes; Elipe, Antonio; Kalvouridis, Tilemahos; Palacios, Manuel 21 2007 Invariant tori in the secular motions of the three-body planetary systems. Zbl 0995.70006 Locatelli, Ugo; Giorgilli, Antonio 21 2000 The global solution of the n-body problem. Zbl 0726.70006 Wang, Qui-Dong 21 1991 The existence and stability of equilibrium points in the Robe’s restricted three-body problem. Zbl 1006.70011 Hallan, P. P.; Rana, Neelam 20 2001 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 20 2009 Symmetric and nonsymmetric periodic orbits in the exterior mean motion resonances with Neptune. Zbl 1093.70007 Voyatzis, G.; Kotoulas, T.; Hadjidemetriou, J. D. 20 2005 Symplectic integrators and their application to dynamical astronomy. Zbl 0724.70019 Kinoshita, Hiroshi; Yoshida, Haruo; Nakai, Hiroshi 20 1991 Large scale chaos and marginal stability in the solar system. Zbl 0886.70012 Laskar, Jacques 20 1996 The restricted two-body problem in constant curvature spaces. Zbl 1116.70015 Borisov, Alexey V.; Mamaev, Ivan S. 19 2006 Some properties of the dumbbell satellite attitude dynamics. Zbl 1342.70024 Celletti, Alessandra; Sidorenko, Vladislav 19 2008 New families of periodic orbits in Hill’s problem of three bodies. Zbl 1062.70018 Hénon, Michel 19 2003 Central configurations of the planar \(1+N\) body problem. Zbl 0821.70007 Casasayas, Josefina; Llibre, Jaume; Nunes, Ana 18 1994 The phase space structure around \(L_4\) in the restricted three-body problem. Zbl 0995.70007 Sándor, Zsolt; Érdi, Bálint; Efthymiopoulos, Christos 18 2000 Quaternions and the perturbed Kepler problem. Zbl 1152.70303 Waldvogel, Jörg 18 2006 Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141 Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano 18 2006 Quantitative predictions with detuned normal forms. Zbl 1154.70328 Pucacco, Giuseppe; Boccaletti, Dino; Belmonte, Cinzia 18 2008 Secular perturbation theory and computation of asteroid proper elements. Zbl 0724.70008 Milani, Andrea; Knežević, Zoran 18 1990 A new analytic approach to the Sitnikov problem. Zbl 0757.70006 Hagel, J. 18 1992 Universal properties of escape in dynamical systems. Zbl 0893.58049 Siopis, Christos; Kandrup, Henry E.; Contopoulos, G.; Dvorak, Rudolf 18 1997 Evolution of migrating planet pairs in resonance. Zbl 1087.70007 Ferras-Mello, S.; Beauge, C.; Michtchenko, T. A. 18 2003 A class of periodic solutions of the \(N\)-body problem. Zbl 0684.70006 Coti Zelati, Vittorio 17 1989 Application of high order expansions of two-point boundary value problems to astrodynamics. Zbl 1223.70081 Di Lizia, P.; Armellin, R.; Lavagna, M. 17 2008 Tidal torques: a critical review of some techniques. Zbl 1223.70059 Efroimsky, Michael; Williams, James G. 17 2009 Symmetries and bifurcations in the Sitnikov problem. Zbl 0993.70010 Jiménez-Lara, Lidia; Escalona-Buendía, Adolfo 17 2001 On target for Venus – set oriented computation of energy efficient low thrust trajectories. Zbl 1219.70067 Dellnitz, Michael; Junge, Oliver; Post, Marcus; Thiere, Bianca 17 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 17 2004 Central configurations of the planar coorbital satellite problem. Zbl 1145.70318 Cors, Josep M.; Llibre, Jaume; Ollé, Mercè 17 2004 On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows. Zbl 1083.70011 Fouchard, Marc; Lega, Elena; Froeschlé, Christiane; Froeschlé, Claude 17 2002 Non-integrability of first order resonances in Hamiltonian systems in three degrees of freedom. Zbl 1266.70038 Christov, Ognyan 17 2012 Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations. Zbl 1266.70045 Martinuşi, Vladimir; Gurfil, Pini 17 2011 Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035 Celletti, Alessandra; Chierchia, Luigi 16 2008 Periodic orbits of the Sitnikov problem via a Poincaré map. Zbl 0986.70010 Corbera, Montserrat; Llibre, Jaume 16 2000 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. 16 2001 Solar sail halo orbits at the Sun-Earth artificial \(L_1\) point. Zbl 1125.70020 Baoyin, Hexi; McInnes, Colin R. 16 2006 A special perturbation method in orbital dynamics. Zbl 1162.70022 Peláez, Jesús; Hedo, José Manuel; Rodríguez de Andrés, Pedro 16 2007 On integrable Hamiltonians with velocity-dependent potentials. Zbl 1134.70006 Pucacco, Giuseppe 16 2004 Orbit determination with very short arcs. I: Admissible regions. Zbl 1144.70007 Milani, Andrea; Gronchi, Giovanni F.; Vitturi, Mattia De’ Michieli; Knežević, Zoran 16 2004 The relative Lyapunov indicator: an efficient method of chaos detection. Zbl 1109.37033 Sándor, Zsolt; Bálint, Érdi; Széll, András; Funk, Barbara 16 2004 On the Sitnikov problem. Zbl 0718.70005 Liu, Jie; Sun, Yisui 16 1990 Mutual potential of homogeneous polyhedra. Zbl 1151.70312 Werner, Robert A.; Scheeres, Daniel J. 16 2005 Energy and stability in the full two body problem. Zbl 1334.70022 Bellerose, Julie; Scheeres, Daniel J. 16 2008 Some results on the global dynamics of the regularized restricted three-body problem with dissipation. Zbl 1270.70029 Celletti, Alessandra; Stefanelli, Letizia; Lega, Elena; Froeschlé, Claude 16 2011 Periodic and quasi-periodic motions of a solar sail close to \(SL _{1}\) in the Earth-Sun system. Zbl 1291.70039 Farrés, Ariadna; Jorba, Àngel 16 2010 Decomposition of functions for elliptic orbits. Zbl 0822.70008 Osácar, Carlos; Palacián, Jesús 15 1994 Asteroid close encounters characterization using differential algebra: the case of apophis. Zbl 1223.70035 Armellin, R.; Di Lizia, P.; Bernelli-Zazzera, F.; Berz, M. 15 2010 Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem. Zbl 1223.70029 Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E. 15 2010 Precise computation of acceleration due to uniform ring or disk. Zbl 1223.70040 Fukushima, Toshio 15 2010 Ellipsoidal harmonic expansions of the gravitational potential: theory and application. Zbl 1065.70009 Garmier, Romain; Barriot, Jean-Pierre 15 2001 Ejection-collision orbits and invariant punctured tori in a restricted four-body problem. Zbl 0951.70008 Maranhão, Dante L.; Llibre, Jaume 15 1999 Periodic orbits of a collinear restricted three-body problem. Zbl 1062.70016 Corbera, Montserrat; Llibre, Jaume 15 2003 Symmetric and asymmetric librations in extrasolar planetary systems: a global view. Zbl 1219.70027 Hadjidemetriou, John D. 15 2006 Quaternions for regularizing celestial mechanics: The right way. Zbl 1154.70309 Waldvogel, Jörg 15 2008 Using FLI maps for preliminary spacecraft trajectory design in multi-body environments. Zbl 1154.70323 Villac, B. F. 15 2008 Non-integrability of the generalized two fixed centres problem. Zbl 1132.70006 Maciejewski, Andrzej J.; Przybylska, Maria 15 2004 Restricted \(N+1\)-body problem: existence and stability of relative equilibria. Zbl 1135.70005 Bang, D.; Elmabsout, B. 15 2004 A semi-numerical perturbation method for separable Hamiltonian systems. Zbl 0728.70023 Henrard, Jacques 15 1990 The Lissajous transformation. III: Parametric bifurcations. Zbl 0756.70016 Miller, Bruce R. 15 1991 The Conley-Zehnder indices of the spatial Hill three-body problem. Zbl 1516.70012 Aydin, Cengiz 2 2023 Framework for the full N-body problem in \(\mathsf{SE}(3)\) and its reduction to the circular restricted full three-body problem. Zbl 1521.70015 Nazari, Morad; Canales, David; McCann, Brennan; Butcher, Eric; Howell, Kathleen 1 2023 Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter. Zbl 1511.70007 Abad, A.; Arribas, M.; Palacios, M.; Elipe, A. 1 2023 Non-integrability of the planar elliptic restricted three-body problem. Zbl 1519.70011 Przybylska, Maria; Maciejewski, Andrzej J. 1 2023 Invariant manifolds near \(L_1\) and \(L_2\) in the quasi-bicircular problem. Zbl 07693065 Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc 1 2023 How many Keplerian arcs are there between two points of spacetime? Zbl 07693068 Albouy, Alain; Ureña, Antonio J. 1 2023 Existence proof of librational invariant tori in an averaged model of HD60532 planetary system. Zbl 07693074 Danesi, Veronica; Locatelli, Ugo; Sansottera, Marco 1 2023 Secular orbital dynamics of the innermost exoplanet of the \(\upsilon\)-Andromedæ system. Zbl 1527.70013 Mastroianni, Rita; Locatelli, Ugo 1 2023 Natural dynamical reduction of the three-body problem. Zbl 1523.70015 Kol, Barak 1 2023 Detection of separatrices and chaotic seas based on orbit amplitudes. Zbl 1516.70014 Daquin, Jérôme; Charalambous, Carolina 1 2023 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 5 2022 Closed-form perturbation theory in the restricted three-body problem without relegation. Zbl 1490.70031 Cavallari, Irene; Efthymiopoulos, Christos 4 2022 Proper elements for space debris. Zbl 1490.70040 Celletti, Alessandra; Pucacco, Giuseppe; Vartolomei, Tudor 3 2022 A deep dive into the \(2g+h\) resonance: separatrices, manifolds and phase space structure of navigation satellites. Zbl 1482.70024 Daquin, Jérôme; Legnaro, Edoardo; Gkolias, Ioannis; Efthymiopoulos, Christos 3 2022 Nonsingular vectorial reformulation of the short-period corrections in Kozai’s oblateness solution. Zbl 1490.70056 Izzo, Paolo; Dell’Elce, Lamberto; Gurfil, Pini; Rosengren, Aaron J. 2 2022 Physics-informed neural networks for gravity field modeling of the Earth and Moon. Zbl 1490.70057 Martin, John; Schaub, Hanspeter 1 2022 Spatial equilateral chain central configurations of the five-body problem with a homogeneous potential. Zbl 1490.70036 Deng, Yiyang; Hampton, Marshall 1 2022 Impact of a Moon on the evolution of a planet’s rotation axis: a non-resonant case. Zbl 1490.70059 Podvigina, O. M.; Krasilnikov, P. S. 1 2022 Proper elements for resonant planet-crossing asteroids. Zbl 1490.70037 Fenucci, M.; Gronchi, G. F.; Saillenfest, M. 1 2022 Physics-informed neural networks for gravity field modeling of small bodies. Zbl 1505.68038 Martin, John; Schaub, Hanspeter 1 2022 Analytical solution of orthogonal similar oblate spheroidal coordinate system. Zbl 1504.70020 Strunz, Pavel 1 2022 The phase space structure of retrograde mean motion resonances with Neptune: the 4/5, 7/9, 5/8 and 8/13 cases. Zbl 1504.70012 Kotoulas, Thomas; Morais, Maria Helena Moreira; Voyatzis, George 1 2022 Regularized phase-space volume for the three-body problem. Zbl 1504.70011 Dandekar, Yogesh; Kol, Barak; Lederer, Lior; Mazumdar, Subhajit 1 2022 Machine learning applied to asteroid dynamics. Zbl 07592111 Carruba, V.; Aljbaae, S.; Domingos, R. C.; Huaman, M.; Barletta, W. 1 2022 Generating function of the inertial integrals for small celestial bodies. Zbl 1502.70030 Burov, Alexander A.; Nikonova, Ekaterina A. 1 2022 Stable sets mapping with Taylor differential algebra with application to ballistic capture orbits around Mars. Zbl 1498.70003 Caleb, T.; Merisio, G.; Lizia, P. Di; Topputo, F. 1 2022 Uncertainty maps for motion around binary asteroids. Zbl 1502.70032 Fodde, Iosto; Feng, Jinglang; Vasile, Massimiliano 1 2022 Revisiting Earth tide parameters used in the development of planetary and lunar ephemeris. Zbl 1514.70013 Tian, Wei 1 2022 Melnikov method for non-conservative perturbations of the restricted three-body problem. Zbl 1490.70033 Gidea, Marian; de la Llave, Rafael; Musser, Maxwell 1 2022 On the symmetric central configurations for the planar \(1+5\)-body problem with small arbitrary masses. Zbl 1511.70012 Su, Xia; Deng, Chunhua 1 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 5 2021 A flow-informed strategy for ballistic capture orbit generation. Zbl 1482.70026 Manzi, M.; Topputo, F. 4 2021 Flux-based statistical prediction of three-body outcomes. Zbl 1466.70013 Kol, Barak 3 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 3 2021 An integrable model for first-order three-planet mean motion resonances. Zbl 1490.70043 Petit, Antoine C. 2 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. 2 2021 Normal forms for the Laplace resonance. Zbl 1468.70015 Pucacco, Giuseppe 2 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. 2 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. 1 2021 Triple collision orbits in the free-fall three-body system without binary collisions. Zbl 1490.70046 Li, Xiaoming; Li, Xiaochen; He, Linghui; Liao, Shijun 1 2021 Brouwer’s satellite solution redux. Zbl 1495.70006 Lara, Martin 1 2021 The current orbit of Methone (S/2004 S 1). Zbl 1490.70039 Callegari, Nelson Jun.; Rodríguez, Adrián; Ceccatto, Demétrio Tadeu 1 2021 Periodic solutions of a generalized Sitnikov problem. Zbl 1466.70012 Beltritti, Gastón 1 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 1 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 1 2021 Long-term evolution of orbital inclination due to third-body inclination. Zbl 1466.70035 Nie, Tao; Gurfil, Pini 1 2021 Elliptical shape-based model for multi-revolution planeto-centric mission scenarios. Zbl 1466.70038 Prinetto, Jacopo; Lavagna, Michelle 1 2021 The planar two-body problem for spheroids and disks. Zbl 1472.70021 Wold, Margrethe; Conway, John T. 1 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. 1 2021 Applying data mining techniques to higher-dimensional Poincaré maps in the circular restricted three-body problem. Zbl 1482.70009 Bonasera, Stefano; Bosanac, Natasha 1 2021 Numerical confirmation of the existence of triple collision orbits inside the domain of the free-fall three-body problem. Zbl 1482.70017 Tanikawa, Kiyotaka; Mikkola, Seppo 1 2021 The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem. Zbl 1486.70055 Llibre, Jaume; Paşca, Daniel; Valls, Claudià 1 2021 Numerical integration in celestial mechanics: a case for contact geometry. Zbl 1443.65027 Bravetti, Alessandro; Seri, Marcello; Vermeeren, Mats; Zadra, Federico 11 2020 The vicinity of the Earth-Moon \(L_1\) point in the bicircular problem. Zbl 1443.70040 Jorba, Àngel; Jorba-Cuscó, Marc; Rosales, José J. 7 2020 Cassini states of a rigid body with a liquid core. Zbl 1448.70009 Boué, Gwenaël 4 2020 Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune. Zbl 1448.70040 Kotoulas, T.; Voyatzis, G. 4 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. 4 2020 Pfaffians and the inverse problem for collinear central configurations. Zbl 1448.70027 Ferrario, Davide L. 3 2020 Analysis of regular precession conditions for asymmetrical liquid-filled rigid bodies. Zbl 1470.70008 Ol’shanskii, V. Yu. 3 2020 Uniform formulation for orbit computation: the intermediate elements. Zbl 1448.70063 Baù, Giulio; Roa, Javier 2 2020 A dissipative Kepler problem with a family of singular drags. Zbl 1443.70039 Margheri, Alessandro; Misquero, Mauricio 2 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 2 2020 The geometry of isochrone orbits: from Archimedes’ parabolae to Kepler’s third law. Zbl 1443.70053 Ramond, Paul; Perez, Jérôme 2 2020 Evolution of orbits about comets with arbitrary comae. Zbl 1448.70070 Moretto, Mark; McMahon, Jay 2 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. 2 2020 Secular resonance sweeping and orbital excitation in decaying disks. Zbl 1448.70079 Toliou, Athanasia; Tsiganis, Kleomenis; Tsirvoulis, Georgios 2 2020 The manifold of variations: hazard assessment of short-term impactors. Zbl 1470.70033 Del Vigna, Alessio 2 2020 Central configurations in the spatial \(n\)-body problem for \(n=5,6\) with equal masses. Zbl 1470.70018 Moczurad, Małgorzata; Zgliczyński, Piotr 2 2020 On the nodal distance between two Keplerian trajectories with a common focus. Zbl 1443.70052 Gronchi, Giovanni Federico; Niederman, Laurent 1 2020 Observing Mercury by a quasi-propellantless mission. Zbl 1448.70064 Carbone, Andrea; Cinelli, Marco; Circi, Christian; Ortore, Emiliano 1 2020 Three-dimensional structure of mean motion resonances beyond Neptune. Zbl 1448.70053 Gallardo, Tabaré 1 2020 Long-term orbital dynamics of trans-Neptunian objects. Zbl 1448.70076 Saillenfest, Melaine 1 2020 Probabilistic data association: the orbit set. Zbl 1448.70074 Pirovano, Laura; Santeramo, Daniele A.; Armellin, Roberto; Di Lizia, Pierluigi; Wittig, Alexander 1 2020 Analytical shape uncertainties in the polyhedron gravity model. Zbl 1451.70030 Bercovici, Benjamin; Panicucci, Paolo; McMahon, Jay 1 2020 Periodic orbits of the two fixed centers problem with a variational gravitational field. Zbl 1448.70019 Gao, Fabao; Llibre, Jaume 1 2020 Orbit determination for standard-like maps: asymptotic expansion of the confidence region in regular zones. Zbl 1448.70068 Marò, Stefano 1 2020 An analytically treatable model of long-term dynamics in a mean motion resonance with coexisting resonant modes. Zbl 1448.70018 Efimov, Sergey S.; Sidorenko, Vladislav V. 1 2020 Transfers from distant retrograde orbits to low lunar orbits. Zbl 1448.70084 Zhang, Ruikang; Wang, Yue; Zhang, Hao; Zhang, Chen 1 2020 Disassociation energies for the finite-density \(N\)-body problem. Zbl 1448.70031 Scheeres, D. J. 1 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. 1 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 1 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 1 2020 The precession and nutations of a rigid Mars. Zbl 1470.70006 Baland, Rose-Marie; Yseboodt, Marie; Le Maistre, Sébastien; Rivoldini, Attilio; Van Hoolst, Tim; Dehant, Véronique 1 2020 Central configurations in planar \(n\)-body problem with equal masses for \(n=5,6,7\). Zbl 1451.70024 Moczurad, Małgorzata; Zgliczyński, Piotr 10 2019 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 9 2019 A family of periodic orbits in the three-dimensional lunar problem. Zbl 1448.70032 Belbruno, Edward; Frauenfelder, Urs; van Koert, Otto 7 2019 Classifying four-body convex central configurations. Zbl 1451.70022 Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E. 7 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. 6 2019 A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. Zbl 1451.70032 Gierzkiewicz, Anna; Zgliczyński, Piotr 5 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 5 2019 Symmetric periodic orbits in the Moulton-Copenhagen problem. Zbl 1451.70026 Palacios, Manuel; Arribas, Mercedes; Abad, Alberto; Elipe, Antonio 4 2019 A first integral to the partially averaged Newtonian potential of the three-body problem. Zbl 1448.70022 Pinzari, Gabriella 4 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 4 2019 Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance. Zbl 1451.70054 Sansottera, Marco; Libert, Anne-Sophie 4 2019 Lambert’s theorem: geometry or dynamics? Zbl 1451.70008 Albouy, Alain 4 2019 New cases of regular precession of an asymmetric liquid-filled rigid body. Zbl 1451.70005 Ol’Shanskii, V. Yu. 4 2019 Low-energy transfers to the Moon with long transfer time. Zbl 1448.70072 Oshima, Kenta; Topputo, Francesco; Yanao, Tomohiro 3 2019 Towards a sustainable exploitation of the geosynchronous orbital region. Zbl 1451.70042 Gkolias, Ioannis; Colombo, Camilla 3 2019 Planar \(N\)-body central configurations with a homogeneous potential. Zbl 1451.70023 Hampton, Marshall 3 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. 3 2019 ...and 1283 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,163 Authors 65 Llibre, Jaume 51 Vidal, Claudio 43 Celletti, Alessandra 34 Pérez-Chavela, Ernesto 33 Guzzo, Massimiliano 31 Elipe, Antonio 30 Scheeres, Daniel J. 29 Palacián, Jesús F. 25 Lega, Elena 25 Zotos, Euaggelos E. 23 Efthymiopoulos, Christos 23 Maciejewski, Andrzej J. 22 Lara, Martín 22 Pucacco, Giuseppe 22 Zhang, Shiqing 21 Diacu, Florin Nicolae 21 Simó, Carles 21 Yan, Duokui 20 Froeschlé, Claude 20 Fukushima, Toshio 20 Singh, Jagadish 19 Ferrer, Sebastián 19 Morbidelli, Alessandro 19 Topputo, Francesco 19 Xie, Zhifu 19 Yanguas, Patricia 18 Gurfil, Pini 18 Jorba, Àngel 18 Papadakis, Konstantinos E. 18 Przybylska, Maria 18 Xu, Shijie 17 Armellin, Roberto 17 Cors, Josep Maria 17 Gómez, Gerard 17 Gronchi, Giovanni-Federico 17 Kalvouridis, Tilemahos J. 17 Xu, Ming 16 Alvarez-Ramírez, Martha 16 Blanes, Sergio 16 Burov, Aleksandr Anatol’evich 16 Fernandes, Antonio Carlos 16 Masdemont, Josep J. 16 Mello, Luis Fernando O. 16 Ouyang, Tiancheng 16 Pinzari, Gabriella 16 Sansottera, Marco 16 Vera, Juan A. 15 Baoyin, Hexi 15 Cincotta, Pablo M. 15 Lhotka, Christoph 15 Locatelli, Ugo 15 Vilhena de Moraes, Rodolpho 15 Voyatzis, George 14 Contopoulos, George 14 Corbera, Montserrat 14 García Guirao, Juan Luis 14 Hadjidemetriou, John D. 14 Kholshevnikov, Konstantin Vladislavovich 14 Li, Junfeng 14 Mireles-James, Jason D. 14 Perdios, Efstathios A. 14 Russell, Ryan P. 14 Valls Anglés, Cláudia 13 Borisov, Alekseĭ Vladimirovich 13 Iorio, Lorenzo 13 Lanchares, Víctor 13 Lemaitre, Anne 13 Leok, Melvin 13 Stoica, Cristina 13 Terracini, Susanna 12 Abouelmagd, Elbaz I. 12 Albouy, Alain 12 Dvorak, Rudolf 12 Giordano, Claudia M. 12 Laskar, Jacques 12 Mamaev, Ivan Sergeevich 12 Meiss, James D. 12 Prado, Antônio Fernando Bertachini de Almeida 12 Santoprete, Manuele 12 Sidorenko, Vladislav V. 12 Valsecchi, Giovanni Battista 12 Zhao, Lei 11 Barrio, Roberto 11 Breiter, Sławomir 11 Chierchia, Luigi 11 Circi, Christian 11 Da Silva Fernandes, Sandro 11 de la Llave, Rafael 11 Gidea, Marian 11 Hampton, Marshall 11 Marchesiello, Antonella 11 Mikkola, Seppo 11 San-Juan, Juan Félix 11 Tsiganis, Kleomenis 10 Aggarwal, Rajiv 10 Alessi, Elisa Maria 10 Bardin, Boris Sabirovich 10 Baù, Giulio 10 Beaugé, Cristián 10 Bernelli-Zazzera, Franco ...and 3,063 more Authors all top 5 Cited in 322 Journals 1,035 Celestial Mechanics and Dynamical Astronomy 90 Physica D 88 Communications in Nonlinear Science and Numerical Simulation 84 Regular and Chaotic Dynamics 80 Journal of Mathematical Physics 73 Astrophysics and Space Science 68 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 52 Journal of Differential Equations 50 Chaos 45 Nonlinear Dynamics 41 Applied Mathematics and Computation 41 Qualitative Theory of Dynamical Systems 40 Journal of Nonlinear Science 36 Journal of Dynamics and Differential Equations 35 Journal of Computational and Applied Mathematics 35 Mathematical Problems in Engineering 35 SIAM Journal on Applied Dynamical Systems 34 Chaos, Solitons and Fractals 31 Archive for Rational Mechanics and Analysis 30 Journal of Mathematical Analysis and Applications 28 Nonlinearity 27 Journal of Geometry and Physics 26 General Relativity and Gravitation 26 Computational and Applied Mathematics 20 Journal of Physics A: Mathematical and Theoretical 17 Earth, Moon, and Planets 17 Discrete and Continuous Dynamical Systems 16 Journal of Computational Physics 16 Russian Journal of Nonlinear Dynamics 15 Physics Letters. 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