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: 1,873 Publications (since 1989) References Indexed: 1,402 Publications with 36,539 References. all top 5 Latest Issues 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) 117, No. 4 (2013) 117, No. 3 (2013) ...and 236 more Volumes all top 5 Authors 37 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 20 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 Robutel, Philippe 16 Voyatzis, George 15 Brumberg, Victor A. 15 Fukushima, Toshio 15 Lara, Martín 15 Laskar, Jacques 14 Beaugé, Cristián 14 Ferraz-Mello, Sylvio 14 Gronchi, Giovanni-Federico 14 Guzzo, Massimiliano 14 Kholshevnikov, Konstantin Vladislavovich 14 Sun, Yisui 13 Contopoulos, George 13 Gómez, Gerard 13 Pucacco, Giuseppe 13 Rossi, Alessandro 12 Circi, Christian 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 Sidorenko, Vladislav V. 11 Topputo, Francesco 10 Howell, Kathleen Connor 10 Jorba, Àngel 10 Knežević, Zoran 10 Locatelli, Ugo 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 Lhotka, Christoph 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 McInnes, Colin R. 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. ...and 1,627 more Authors all top 5 Fields 1,766 Mechanics of particles and systems (70-XX) 274 Dynamical systems and ergodic theory (37-XX) 168 Astronomy and astrophysics (85-XX) 69 Numerical analysis (65-XX) 52 Ordinary differential equations (34-XX) 34 Geophysics (86-XX) 31 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 Quantum theory (81-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) 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) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,358 Publications have been cited 7,901 times in 3,051 Documents Cited by ▼ Year ▼ Fast Lyapunov indicators. Application to asteroidal motion. Zbl 0892.70008Froeschlé, Claude; Lega, Elena; Gonczi, Robert 82 1997 Kepler’s problem in constant curvature spaces. Zbl 0765.70007Kozlov, Valeri V.; Harin, Alexander O. 64 1992 How the method of minimization of action avoids singularities. Zbl 1073.70011Marchal, C. 62 2002 Existence of invariant tori in three-dimensional measure-preserving mappings. Zbl 0705.70013Cheng, Chongqing; Sun, Yisui 59 1990 Low energy transfer to the Moon. Zbl 0995.70009Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D. 58 2001 Recent progress in the theory and application of symplectic integrators. Zbl 0777.70002Yoshida, Haruo 49 1993 Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia. Zbl 0881.70008Werner, Robert A.; Scheeres, Daniel J. 45 1997 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 0984.70009Chenciner, Alain; Venturelli, Andrea 45 2000 On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool. Zbl 0986.37075Froeschlé, Claude; Lega, Elena 44 2000 Stability of the planetary three-body problem. I: Expansion of the planetary Hamiltonian. Zbl 0837.70008Laskar, Jacques; Robutel, Philippe 42 1995 Reduction, relative equilibria and potential in the two rigid bodies problem. Zbl 0883.70007Maciejewski, Andrzej J. 41 1995 Low-energy, low-thrust transfers to the Moon. Zbl 1223.70091Mingotti, G.; Topputo, F.; Bernelli-Zazzera, F. 35 2009 High-order symplectic integrators for perturbed Hamiltonian systems. Zbl 1013.70002Laskar, Jacques; Robutel, Philippe 33 2001 Seven-body central configurations: a family of central configurations in the spatial seven-body problem. Zbl 1202.70014Hampton, Marshall; Santoprete, Manuele 32 2007 New central configurations for the planar 5-body problem. Zbl 1251.70012Llibre, Jaume; Mello, Luis Fernando 32 2008 On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011Belbruno, Edward; Llibre, Jaume; Ollé, Mercè 32 1994 Stability in the full two-body problem. Zbl 1027.70012Scheeres, D. J. 31 2002 Symplectic integrators for long-term integrations in celestial mechanics. Zbl 0744.70016Gladman, Brett; Duncan, Martin; Candy, Jeff 30 1991 \(J_2\) invariant relative orbits for spacecraft formations. Zbl 0989.70018Schaub, Hanspeter; Alfriend, Kyle T. 30 2001 On the vertical families of two-dimensional tori near the triangular points of the bicircular problem. Zbl 0977.70009Castellà, Enric; Jorba, Àngel 30 2000 Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions. Zbl 0837.70009Robutel, Philippe 29 1995 On the stability of the Lagrangian points in the spatial restricted problem of three bodies. Zbl 0724.70023Celletti, Alessandra; Giorgilli, Antonio 28 1991 Study of the transfer from the Earth to a halo orbit around the equilibrium point \(L_ 1\). Zbl 0780.70007Gómez, G.; Jorba, A.; Masdemont, J.; Simó, C. 28 1993 The Lissajous transformation. I: Basics. Zbl 0756.70014Deprit, André 27 1991 A note on weak stability boundaries. Zbl 1162.70006García, F.; Gómez, G. 26 2007 Stationary orbits in resonant extrasolar planetary systems. Zbl 1094.85002Michtchenko, T. A.; Beaugé, C.; Ferraz-Mello, S. 26 2006 Hamiltonian dynamics of a rigid body in a central gravitational field. Zbl 0737.70003Wang, Li-Sheng; Krishnaprasad, P. S.; Maddocks, J. H. 25 1991 Finiteness of spatial central configurations in the five-body problem. Zbl 1270.70038Hampton, Marshall; Jensen, Anders 25 2011 Tidal friction in close-in satellites and exoplanets: the Darwin theory re-visited. Zbl 1342.70038Ferraz-Mello, Sylvio; Rodríguez, Adrián; Hussmann, Hauke 25 2008 Central configurations of the five-body problem with equal masses. Zbl 1204.70013Lee, Tsung-Lin; Santoprete, Manuele 25 2009 The Lissajous transformation. II: Normalization. Zbl 0756.70015Deprit, André; Elipe, Antonio 23 1991 New stacked central configurations for the planar 5-body problem. Zbl 1270.70039Llibre, Jaume; Mello, Luis Fernando; Perez-Chavela, Ernesto 23 2011 Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena 23 2005 Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time. Zbl 1147.70316Yagasaki, Kazuyuki 23 2004 Stability of the planar full 2-body problem. Zbl 1165.70008Scheeres, D. J. 22 2009 Frozen orbits for satellites close to an Earth-like planet. Zbl 0840.70020Coffey, Shannon L.; Deprit, André; Deprit, Etienne 22 1994 Lie group variational integrators for the full body problem in orbital mechanics. Zbl 1330.70003Lee, Taeyoung; Leok, Melvin; McClamroch, N. Harris 22 2007 Symmetric planar central configurations of five bodies: Euler plus two. Zbl 1223.70031Gidea, Marian; Llibre, Jaume 22 2010 Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029Soulis, P. S.; Papadakis, K. E.; Bountis, T. 22 2008 Kolmogorov and Nekhoroshev theory for the problem of three bodies. Zbl 1165.70010Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco 21 2009 The inverse problem for collinear central configurations. Zbl 0981.70012Albouy, Alain; Moeckel, Richard 21 2000 Symplectic integrators and their application to dynamical astronomy. Zbl 0724.70019Kinoshita, Hiroshi; Yoshida, Haruo; Nakai, Hiroshi 20 1991 Homographic solutions in the planar \(n+1\) body problem with quasi-homogeneous potentials. Zbl 1162.70314Arribas, Mercedes; Elipe, Antonio; Kalvouridis, Tilemahos; Palacios, Manuel 20 2007 The gravitational potential of a homogeneous polyhedron or don’t cut corners. Zbl 0825.70059Werner, Robert A. 20 1994 The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007Morbidelli, Alessandro; Guzzo, Massimiliano 20 1997 Symmetric and nonsymmetric periodic orbits in the exterior mean motion resonances with Neptune. Zbl 1093.70007Voyatzis, G.; Kotoulas, T.; Hadjidemetriou, J. D. 20 2005 Lagrangian coherent structures in the planar elliptic restricted three-body problem. Zbl 1157.70004Gawlik, Evan S.; Marsden, Jerrold E.; Du Toit, Philip C.; Campagnola, Stefano 19 2009 The existence and stability of equilibrium points in the Robe’s restricted three-body problem. Zbl 1006.70011Hallan, P. P.; Rana, Neelam 19 2001 A new analytic approach to the Sitnikov problem. Zbl 0757.70006Hagel, J. 18 1992 The global solution of the n-body problem. Zbl 0726.70006Wang, Qui-Dong 18 1991 Quantitative predictions with detuned normal forms. Zbl 1154.70328Pucacco, Giuseppe; Boccaletti, Dino; Belmonte, Cinzia 18 2008 Some properties of the dumbbell satellite attitude dynamics. Zbl 1342.70024Celletti, Alessandra; Sidorenko, Vladislav 18 2008 The restricted two-body problem in constant curvature spaces. Zbl 1116.70015Borisov, Alexey V.; Mamaev, Ivan S. 18 2006 Large scale chaos and marginal stability in the solar system. Zbl 0886.70012Laskar, Jacques 18 1996 New families of periodic orbits in Hill’s problem of three bodies. Zbl 1062.70018Hénon, Michel 18 2003 Evolution of migrating planet pairs in resonance. Zbl 1087.70007Ferras-Mello, S.; Beauge, C.; Michtchenko, T. A. 18 2003 Central configurations of the planar \(1+N\) body problem. Zbl 0821.70007Casasayas, Josefina; Llibre, Jaume; Nunes, Ana 18 1994 A class of periodic solutions of the \(N\)-body problem. Zbl 0684.70006Coti Zelati, Vittorio 17 1989 Secular perturbation theory and computation of asteroid proper elements. Zbl 0724.70008Milani, Andrea; Knežević, Zoran 17 1990 Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations. Zbl 1266.70045Martinuşi, Vladimir; Gurfil, Pini 17 2011 Quaternions and the perturbed Kepler problem. Zbl 1152.70303Waldvogel, Jörg 17 2006 Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano 17 2006 On target for Venus – set oriented computation of energy efficient low thrust trajectories. Zbl 1219.70067Dellnitz, Michael; Junge, Oliver; Post, Marcus; Thiere, Bianca 17 2006 Application of high order expansions of two-point boundary value problems to astrodynamics. Zbl 1223.70081Di Lizia, P.; Armellin, R.; Lavagna, M. 17 2008 Tidal torques: a critical review of some techniques. Zbl 1223.70059Efroimsky, Michael; Williams, James G. 17 2009 Universal properties of escape in dynamical systems. Zbl 0893.58049Siopis, Christos; Kandrup, Henry E.; Contopoulos, G.; Dvorak, Rudolf 17 1997 Symmetries and bifurcations in the Sitnikov problem. Zbl 0993.70010Jiménez-Lara, Lidia; Escalona-Buendía, Adolfo 17 2001 On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows. Zbl 1083.70011Fouchard, Marc; Lega, Elena; Froeschlé, Christiane; Froeschlé, Claude 17 2002 Equilibrium points and central configurations for the Lennard-Jones 2- and 3-body problems. Zbl 1151.70310Corbera, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto 17 2004 Central configurations of the planar coorbital satellite problem. Zbl 1145.70318Cors, Josep M.; Llibre, Jaume; Ollé, Mercè 17 2004 The phase space structure around \(L_4\) in the restricted three-body problem. Zbl 0995.70007Sándor, Zsolt; Érdi, Bálint; Efthymiopoulos, Christos 17 2000 On the Sitnikov problem. Zbl 0718.70005Liu, Jie; Sun, Yisui 16 1990 Non-integrability of first order resonances in Hamiltonian systems in three degrees of freedom. Zbl 1266.70038Christov, Ognyan 16 2012 Energy and stability in the full two body problem. Zbl 1334.70022Bellerose, Julie; Scheeres, Daniel J. 16 2008 Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035Celletti, Alessandra; Chierchia, Luigi 16 2008 A special perturbation method in orbital dynamics. Zbl 1162.70022Peláez, Jesús; Hedo, José Manuel; Rodríguez de Andrés, Pedro 16 2007 Periodic and quasi-periodic motions of a solar sail close to \(SL _{1}\) in the Earth-Sun system. Zbl 1291.70039Farrés, Ariadna; Jorba, Àngel 16 2010 Mutual potential of homogeneous polyhedra. Zbl 1151.70312Werner, Robert A.; Scheeres, Daniel J. 16 2005 Existence and stability of libration points in the restricted three-body problem when the primaries are triaxial rigid bodies. Zbl 0999.70010Sharma, Ravinder Kumar; Taqvi, Z. A.; Bhatnagar, K. B. 16 2001 Orbit determination with very short arcs. I: Admissible regions. Zbl 1144.70007Milani, Andrea; Gronchi, Giovanni F.; Vitturi, Mattia De’ Michieli; Knežević, Zoran 16 2004 The relative Lyapunov indicator: an efficient method of chaos detection. Zbl 1109.37033Sándor, Zsolt; Bálint, Érdi; Széll, András; Funk, Barbara 16 2004 Invariant tori in the secular motions of the three-body planetary systems. Zbl 0995.70006Locatelli, Ugo; Giorgilli, Antonio 16 2000 The Lissajous transformation. III: Parametric bifurcations. Zbl 0756.70016Miller, Bruce R. 15 1991 Stability of Trojan planets in multi-planetary systems. Zbl 1165.70019Schwarz, R.; Süli, Á.; Dvorak, R.; Pilat-Lohinger, E. 15 2009 Multiple poincaré sections method for finding the quasiperiodic orbits of the restricted three body problem. Zbl 1266.70012Kolemen, Egemen; Kasdin, N. Jeremy; Gurfil, Pini 15 2012 Minimum energy configurations in the \(N\)-body problem and the celestial mechanics of granular systems. Zbl 1266.70021Scheeres, D. J. 15 2012 Using FLI maps for preliminary spacecraft trajectory design in multi-body environments. Zbl 1154.70323Villac, B. F. 15 2008 Relations between integrable systems in plane and curved spaces. Zbl 1202.70062Borisov, Alexey V.; Mamaev, Ivan S. 15 2007 Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting. Zbl 1428.70044Wittig, Alexander; Di Lizia, Pierluigi; Armellin, Roberto; Makino, Kyoko; Bernelli-Zazzera, Franco; Berz, Martin 15 2015 Frequency analysis of a dynamical system. Zbl 0785.58025Laskar, Jacques 15 1993 Solar sail halo orbits at the Sun-Earth artificial \(L_1\) point. Zbl 1125.70020Baoyin, Hexi; McInnes, Colin R. 15 2006 Asteroid close encounters characterization using differential algebra: the case of apophis. Zbl 1223.70035Armellin, 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 1223.70029Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E. 15 2010 A semi-numerical perturbation method for separable Hamiltonian systems. Zbl 0728.70023Henrard, Jacques 15 1990 Ejection-collision orbits and invariant punctured tori in a restricted four-body problem. Zbl 0951.70008Maranhão, Dante L.; Llibre, Jaume 15 1999 Periodic orbits of the Sitnikov problem via a Poincaré map. Zbl 0986.70010Corbera, Montserrat; Llibre, Jaume 15 2000 Partial reduction in the \(N\)-body planetary problem using the angular momentum integral. Zbl 1026.70016Malige, F.; Robutel, P.; Laskar, J. 15 2002 Resonant periodic motion and the stability of extrasolar planetary systems. Zbl 1083.70016Hadjidemetriou, John D. 15 2002 Decomposition of functions for elliptic orbits. Zbl 0822.70008Osácar, Carlos; Palacián, Jesús 15 1994 On integrable Hamiltonians with velocity-dependent potentials. Zbl 1134.70006Pucacco, Giuseppe 15 2004 Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter. Zbl 1511.70007Abad, A.; Arribas, M.; Palacios, M.; Elipe, A. 1 2023 Natural dynamical reduction of the three-body problem. Zbl 07693079Kol, Barak 1 2023 Detection of separatrices and chaotic seas based on orbit amplitudes. Zbl 1516.70014Daquin, Jérôme; Charalambous, Carolina 1 2023 The Conley-Zehnder indices of the spatial Hill three-body problem. Zbl 1516.70012Aydin, Cengiz 1 2023 Framework for the full N-body problem in \(\mathsf{SE}(3)\) and its reduction to the circular restricted full three-body problem. Zbl 07725903Nazari, Morad; Canales, David; McCann, Brennan; Butcher, Eric; Howell, Kathleen 1 2023 Closed-form perturbation theory in the restricted three-body problem without relegation. Zbl 1490.70031Cavallari, Irene; Efthymiopoulos, Christos 3 2022 Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. Zbl 1486.70053Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael 2 2022 A deep dive into the \(2g+h\) resonance: separatrices, manifolds and phase space structure of navigation satellites. Zbl 1482.70024Daquin, Jérôme; Legnaro, Edoardo; Gkolias, Ioannis; Efthymiopoulos, Christos 2 2022 Proper elements for space debris. Zbl 1490.70040Celletti, Alessandra; Pucacco, Giuseppe; Vartolomei, Tudor 2 2022 Nonsingular vectorial reformulation of the short-period corrections in Kozai’s oblateness solution. Zbl 1490.70056Izzo, Paolo; Dell’Elce, Lamberto; Gurfil, Pini; Rosengren, Aaron J. 2 2022 Physics-informed neural networks for gravity field modeling of small bodies. Zbl 1505.68038Martin, John; Schaub, Hanspeter 1 2022 Analytical solution of orthogonal similar oblate spheroidal coordinate system. Zbl 1504.70020Strunz, Pavel 1 2022 Revisiting Earth tide parameters used in the development of planetary and lunar ephemeris. Zbl 1514.70013Tian, Wei 1 2022 Melnikov method for non-conservative perturbations of the restricted three-body problem. Zbl 1490.70033Gidea, Marian; de la Llave, Rafael; Musser, Maxwell 1 2022 Physics-informed neural networks for gravity field modeling of the Earth and Moon. Zbl 1490.70057Martin, John; Schaub, Hanspeter 1 2022 Spatial equilateral chain central configurations of the five-body problem with a homogeneous potential. Zbl 1490.70036Deng, Yiyang; Hampton, Marshall 1 2022 On the symmetric central configurations for the planar \(1+5\)-body problem with small arbitrary masses. Zbl 1511.70012Su, Xia; Deng, Chunhua 1 2022 Machine learning applied to asteroid dynamics. Zbl 07592111Carruba, V.; Aljbaae, S.; Domingos, R. C.; Huaman, M.; Barletta, W. 1 2022 Uncertainty maps for motion around binary asteroids. Zbl 1502.70032Fodde, Iosto; Feng, Jinglang; Vasile, Massimiliano 1 2022 A flow-informed strategy for ballistic capture orbit generation. Zbl 1482.70026Manzi, M.; Topputo, F. 3 2021 Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem. Zbl 1472.70032Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc 3 2021 Identification of asteroid groups in the \(z_1\) and \(z_2\) nonlinear secular resonances through genetic algorithms. Zbl 1472.70033Carruba, V.; Aljbaae, S.; Domingos, R. C. 2 2021 On a set of \(J_2\) equinoctial orbital elements and their use for uncertainty propagation. Zbl 1466.70027Aristoff, Jeffrey M.; Horwood, Joshua T.; Alfriend, Kyle T. 2 2021 Normal forms for the Laplace resonance. Zbl 1468.70015Pucacco, Giuseppe 2 2021 Flux-based statistical prediction of three-body outcomes. Zbl 1466.70013Kol, Barak 2 2021 An analytical model for tidal evolution in co-orbital systems. I: Application to exoplanets. Zbl 1490.70053Couturier, Jérémy; Robutel, Philippe; Correia, Alexandre C. M. 1 2021 An integrable model for first-order three-planet mean motion resonances. Zbl 1490.70043Petit, Antoine C. 1 2021 Brouwer’s satellite solution redux. Zbl 1495.70006Lara, Martin 1 2021 Applying data mining techniques to higher-dimensional Poincaré maps in the circular restricted three-body problem. Zbl 1482.70009Bonasera, Stefano; Bosanac, Natasha 1 2021 The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem. Zbl 1486.70055Llibre, Jaume; Paşca, Daniel; Valls, Claudià 1 2021 Transfers from the Earth to \(L_2\) halo orbits in the Earth-Moon bicircular problem. Zbl 1482.70010Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc 1 2021 The planar two-body problem for spheroids and disks. Zbl 1472.70021Wold, 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 1472.70051Papaloizou, J. C. B. 1 2021 Long-term evolution of orbital inclination due to third-body inclination. Zbl 1466.70035Nie, Tao; Gurfil, Pini 1 2021 Elliptical shape-based model for multi-revolution planeto-centric mission scenarios. Zbl 1466.70038Prinetto, Jacopo; Lavagna, Michelle 1 2021 Periodic solutions of a generalized Sitnikov problem. Zbl 1466.70012Beltritti, Gastón 1 2021 Shannon entropy diffusion estimates: sensitivity on the parameters of the method. Zbl 1466.70023Cincotta, 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 1466.70040Di Carlo, Marilena; da Graça Marto, Simão; Vasile, Massimiliano 1 2021 Numerical integration in celestial mechanics: a case for contact geometry. Zbl 1443.65027Bravetti, Alessandro; Seri, Marcello; Vermeeren, Mats; Zadra, Federico 10 2020 The vicinity of the Earth-Moon \(L_1\) point in the bicircular problem. Zbl 1443.70040Jorba, Àngel; Jorba-Cuscó, Marc; Rosales, José J. 5 2020 Cassini states of a rigid body with a liquid core. Zbl 1448.70009Boué, Gwenaël 4 2020 Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune. Zbl 1448.70040Kotoulas, T.; Voyatzis, G. 4 2020 Near rectilinear halo orbits and nearby higher-period dynamical structures: orbital stability and resonance properties. Zbl 1448.70085Zimovan-Spreen, Emily M.; Howell, Kathleen C.; Davis, Diane C. 2 2020 Secular resonance sweeping and orbital excitation in decaying disks. Zbl 1448.70079Toliou, Athanasia; Tsiganis, Kleomenis; Tsirvoulis, Georgios 2 2020 Uniform formulation for orbit computation: the intermediate elements. Zbl 1448.70063Baù, Giulio; Roa, Javier 2 2020 Use of the semilinear method to predict the impact corridor on ground. Zbl 1448.70035Dimare, 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 1443.70053Ramond, Paul; Perez, Jérôme 2 2020 Pfaffians and the inverse problem for collinear central configurations. Zbl 1448.70027Ferrario, Davide L. 2 2020 The manifold of variations: hazard assessment of short-term impactors. Zbl 1470.70033Del Vigna, Alessio 2 2020 An analytically treatable model of long-term dynamics in a mean motion resonance with coexisting resonant modes. Zbl 1448.70018Efimov, Sergey S.; Sidorenko, Vladislav V. 1 2020 Transfers from distant retrograde orbits to low lunar orbits. Zbl 1448.70084Zhang, Ruikang; Wang, Yue; Zhang, Hao; Zhang, Chen 1 2020 Disassociation energies for the finite-density \(N\)-body problem. Zbl 1448.70031Scheeres, D. J. 1 2020 Observing Mercury by a quasi-propellantless mission. Zbl 1448.70064Carbone, Andrea; Cinelli, Marco; Circi, Christian; Ortore, Emiliano 1 2020 Three-dimensional structure of mean motion resonances beyond Neptune. Zbl 1448.70053Gallardo, Tabaré 1 2020 Long-term orbital dynamics of trans-Neptunian objects. Zbl 1448.70076Saillenfest, Melaine 1 2020 Probabilistic data association: the orbit set. Zbl 1448.70074Pirovano, Laura; Santeramo, Daniele A.; Armellin, Roberto; Di Lizia, Pierluigi; Wittig, Alexander 1 2020 A dissipative Kepler problem with a family of singular drags. Zbl 1443.70039Margheri, Alessandro; Misquero, Mauricio 1 2020 Analytical shape uncertainties in the polyhedron gravity model. Zbl 1451.70030Bercovici, Benjamin; Panicucci, Paolo; McMahon, Jay 1 2020 Evolution of orbits about comets with arbitrary comae. Zbl 1448.70070Moretto, Mark; McMahon, Jay 1 2020 Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families. Zbl 1448.70054Murray, Maxime; Mireles James, J. D. 1 2020 Periodic orbits of the two fixed centers problem with a variational gravitational field. Zbl 1448.70019Gao, Fabao; Llibre, Jaume 1 2020 Orbit determination for standard-like maps: asymptotic expansion of the confidence region in regular zones. Zbl 1448.70068Marò, Stefano 1 2020 Order-chaos-order and invariant manifolds in the bounded planar Earth-Moon system. Zbl 1470.70016de 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 1470.70021Gkolias, Ioannis; Alessi, Elisa Maria; Colombo, Camilla 1 2020 Central configurations in the spatial \(n\)-body problem for \(n=5,6\) with equal masses. Zbl 1470.70018Moczurad, Małgorzata; Zgliczyński, Piotr 1 2020 The effect of zonal harmonics on dynamical structures in the circular restricted three-body problem near the secondary body. Zbl 1470.70015Bury, Luke; McMahon, Jay 1 2020 Analysis of regular precession conditions for asymmetrical liquid-filled rigid bodies. Zbl 1470.70008Ol’shanskii, V. Yu. 1 2020 Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence. Zbl 1448.70024Burgos-García, Jaime; Lessard, Jean-Philippe; James, J. D. Mireles 8 2019 Central configurations in planar \(n\)-body problem with equal masses for \(n=5,6,7\). Zbl 1451.70024Moczurad, Małgorzata; Zgliczyński, Piotr 8 2019 Classifying four-body convex central configurations. Zbl 1451.70022Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E. 6 2019 A family of periodic orbits in the three-dimensional lunar problem. Zbl 1448.70032Belbruno, Edward; Frauenfelder, Urs; van Koert, Otto 5 2019 Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set. Zbl 1451.70033Kepley, Shane; Mireles James, J. D. 5 2019 A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. Zbl 1451.70032Gierzkiewicz, 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 1451.70021Pucacco, Giuseppe 5 2019 Symmetric periodic orbits in the Moulton-Copenhagen problem. Zbl 1451.70026Palacios, Manuel; Arribas, Mercedes; Abad, Alberto; Elipe, Antonio 4 2019 A first integral to the partially averaged Newtonian potential of the three-body problem. Zbl 1448.70022Pinzari, Gabriella 4 2019 Semi-analytical model for third-body perturbations including the inclination and eccentricity of the perturbing body. Zbl 1451.70019Nie, Tao; Gurfil, Pini; Zhang, Shijie 4 2019 Low-energy transfers to the Moon with long transfer time. Zbl 1448.70072Oshima, Kenta; Topputo, Francesco; Yanao, Tomohiro 3 2019 Planar \(N\)-body central configurations with a homogeneous potential. Zbl 1451.70023Hampton, Marshall 3 2019 Non-averaged regularized formulations as an alternative to semi-analytical orbit propagation methods. Zbl 1451.70037Amato, Davide; Bombardelli, Claudio; Baù, Giulio; Morand, Vincent; Rosengren, Aaron J. 3 2019 Mixed-model gravity representations for small celestial bodies using mascons and spherical harmonics. Zbl 1451.70057Wittick, Patrick T.; Russell, Ryan P. 3 2019 Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance. Zbl 1451.70054Sansottera, Marco; Libert, Anne-Sophie 3 2019 A new radial, natural, higher-order intermediary of the main problem four decades after the elimination of the parallax. Zbl 1451.70036Lara, Martin 3 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 1451.70051Oshima, Kenta 2 2019 Towards a sustainable exploitation of the geosynchronous orbital region. Zbl 1451.70042Gkolias, Ioannis; Colombo, Camilla 2 2019 A search for triple collision orbits inside the domain of the free-fall three-body problem. Zbl 1451.70034Tanikawa, Kiyotaka; Saito, Masaya M.; Mikkola, Seppo 2 2019 Are the analytical proper elements of asteroids still needed? Zbl 1451.70045Knežević, Zoran; Milani, Andrea 2 2019 Tidal evolution of the Keplerian elements. Zbl 1451.70009Boué, Gwenaël; Efroimsky, Michael 2 2019 A frequency portrait of low Earth orbits. Zbl 1451.70055Schettino, Giulia; Alessi, Elisa Maria; Rossi, Alessandro; Valsecchi, Giovanni B. 2 2019 Planetary encounter analysis on the B-plane: a comprehensive formulation. Zbl 1451.70041Farnocchia, Davide; Eggl, Siegfried; Chodas, Paul W.; Giorgini, Jon D.; Chesley, Steven R. 2 2019 Lambert’s theorem: geometry or dynamics? Zbl 1451.70008Albouy, Alain 2 2019 Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations. Zbl 1451.70029Alessi, Elisa Maria; Colombo, Camilla; Rossi, Alessandro 2 2019 Shannon entropy applied to the planar restricted three-body problem. Zbl 1451.70017Beaugé, C.; Cincotta, P. M. 2 2019 Satellite with periodical mass redistribution: relative equilibria and their stability. Zbl 1448.70086Burov, Alexander; Guerman, Anna; Kosenko, Ivan 1 2019 The Lissajous-Kustaanheimo-Stiefel transformation. Zbl 1448.70014Breiter, Slawomir; Langner, Krzysztof 1 2019 Doubly symmetric periodic orbits around one oblate primary in the restricted three-body problem. Zbl 1448.70023Xu, Xingbo 1 2019 Dynamical structures in a low-thrust, multi-body model with applications to trajectory design. Zbl 1451.70018Cox, Andrew D.; Howell, Kathleen C.; Folta, David C. 1 2019 Dedicated symplectic integrators for rotation motions. Zbl 1451.70006Laskar, Jacques; Vaillant, Timothée 1 2019 A monotonic starter for solving the hyperbolic Kepler equation by Newton’s method. Zbl 1451.70010Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L. 1 2019 Spatial unstable periodic quasi-satellite orbits and their applications to spacecraft trajectories. Zbl 1451.70025Oshima, Kenta; Yanao, Tomohiro 1 2019 ...and 1258 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,038 Authors 65 Llibre, Jaume 49 Vidal, Claudio 42 Celletti, Alessandra 34 Pérez-Chavela, Ernesto 33 Guzzo, Massimiliano 30 Elipe, Antonio 29 Palacián, Jesús F. 27 Scheeres, Daniel J. 25 Lega, Elena 24 Zotos, Euaggelos E. 22 Efthymiopoulos, Christos 22 Lara, Martín 22 Maciejewski, Andrzej J. 22 Pucacco, Giuseppe 22 Zhang, Shiqing 21 Yan, Duokui 20 Diacu, Florin Nicolae 20 Froeschlé, Claude 20 Fukushima, Toshio 20 Simó, Carles 19 Ferrer, Sebastián 19 Morbidelli, Alessandro 19 Singh, Jagadish 19 Topputo, Francesco 19 Yanguas, Patricia 18 Gurfil, Pini 18 Jorba, Àngel 18 Xie, Zhifu 18 Xu, Shijie 17 Armellin, Roberto 17 Kalvouridis, Tilemahos J. 17 Papadakis, Konstantinos E. 17 Przybylska, Maria 17 Xu, Ming 16 Alvarez-Ramírez, Martha 16 Blanes, Sergio 16 Cors, Josep Maria 16 Gómez, Gerard 16 Gronchi, Giovanni-Federico 16 Mello, Luis Fernando O. 16 Ouyang, Tiancheng 16 Pinzari, Gabriella 16 Vera, Juan A. 15 Baoyin, Hexi 15 Fernandes, Antonio Carlos 15 Lhotka, Christoph 15 Masdemont, Josep J. 15 Sansottera, Marco 15 Vilhena de Moraes, Rodolpho 15 Voyatzis, George 14 Cincotta, Pablo M. 14 Contopoulos, George 14 Corbera, Montserrat 14 García Guirao, Juan Luis 14 Hadjidemetriou, John D. 14 Kholshevnikov, Konstantin Vladislavovich 14 Li, Junfeng 14 Perdios, Efstathios A. 14 Robutel, Philippe 14 Russell, Ryan P. 14 Valls Anglés, Cláudia 13 Borisov, Alekseĭ Vladimirovich 13 Burov, Aleksandr Anatol’evich 13 Iorio, Lorenzo 13 Lanchares, Víctor 13 Lemaitre, Anne 13 Locatelli, Ugo 13 Mireles-James, Jason D. 13 Stoica, Cristina 13 Terracini, Susanna 12 Abouelmagd, Elbaz I. 12 Dvorak, Rudolf 12 Laskar, Jacques 12 Leok, Melvin 12 Mamaev, Ivan Sergeevich 12 Meiss, James D. 12 Santoprete, Manuele 12 Sidorenko, Vladislav V. 12 Valsecchi, Giovanni Battista 11 Barrio, Roberto 11 Breiter, Sławomir 11 Chierchia, Luigi 11 Circi, Christian 11 Da Silva Fernandes, Sandro 11 Giordano, Claudia M. 11 Hampton, Marshall 11 Marchesiello, Antonella 11 Prado, Antônio Fernando Bertachini de Almeida 11 San-Juan, Juan Félix 11 Tsiganis, Kleomenis 11 Zhao, Lei 10 Albouy, Alain 10 Beaugé, Cristián 10 Bernelli-Zazzera, Franco 10 de la Llave, Rafael 10 di Lizia, Pierluigi 10 Ferrándiz, José Manuel 10 Ferraz-Mello, Sylvio 10 García-Azpeitia, Carlos 10 Giorgilli, Antonio ...and 2,938 more Authors all top 5 Cited in 308 Journals 1,014 Celestial Mechanics and Dynamical Astronomy 88 Physica D 81 Communications in Nonlinear Science and Numerical Simulation 79 Journal of Mathematical Physics 74 Regular and Chaotic Dynamics 73 Astrophysics and Space Science 68 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 51 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 35 Journal of Dynamics and Differential Equations 35 Mathematical Problems in Engineering 34 Chaos, Solitons and Fractals 33 Journal of Computational and Applied Mathematics 30 Journal of Mathematical Analysis and Applications 30 SIAM Journal on Applied Dynamical Systems 29 Archive for Rational Mechanics and Analysis 26 General Relativity and Gravitation 26 Journal of Geometry and Physics 25 Computational and Applied Mathematics 24 Nonlinearity 20 Journal of Physics A: Mathematical and Theoretical 17 Earth, Moon, and Planets 17 Discrete and Continuous Dynamical Systems 15 Journal of Computational Physics 15 Physics Letters. A 14 Meccanica 14 International Journal of Modern Physics D 14 Acta Mechanica Sinica 13 Journal of Optimization Theory and Applications 12 Nonlinear Analysis. Real World Applications 12 Discrete and Continuous Dynamical Systems. Series B 12 Applications and Applied Mathematics 11 Communications in Mathematical Physics 11 Journal of Applied Mathematics and Mechanics 11 Prikladnaya Matematika i Mekhanika 11 Applied Numerical Mathematics 10 Transactions of the American Mathematical Society 10 Acta Applicandae Mathematicae 10 Vestnik St. Petersburg University. Mathematics 10 Russian Journal of Nonlinear Dynamics 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Proceedings of the American Mathematical Society 9 Numerical Algorithms 9 Journal of Nonlinear Mathematical Physics 9 Dynamical Systems 9 Journal of Computational Dynamics 9 Applied Mathematics and Nonlinear Sciences 8 Acta Mechanica 8 Classical and Quantum Gravity 8 International Journal of Theoretical Physics 8 Journal of Fluid Mechanics 8 Applied Mathematics Letters 8 International Journal of Computer Mathematics 8 Abstract and Applied Analysis 8 Discrete and Continuous Dynamical Systems. Series S 8 Journal of Geometric Mechanics 8 Mechanics of Solids 7 Computers & Mathematics with Applications 7 Acta Mathematica Sinica. English Series 7 Journal of Applied Mathematics 6 Journal of the Franklin Institute 6 International Journal for Numerical Methods in Engineering 6 Applied Mathematics and Mechanics. (English Edition) 6 Journal of Dynamical Systems and Geometric Theories 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 Mathematics of Computation 5 Advances in Mathematics 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 Russian Physics Journal 5 International Journal of Modern Physics C 5 Advances in Mathematical Physics 4 Astronomische Nachrichten 4 European Journal of Physics 4 Journal of Statistical Physics 4 Physica A 4 The Mathematical Intelligencer 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 Journal of Symbolic Computation 4 Indagationes Mathematicae. New Series 4 Journal of Computer and Systems Sciences International 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 ...and 208 more Journals all top 5 Cited in 57 Fields 2,337 Mechanics of particles and systems (70-XX) 917 Dynamical systems and ergodic theory (37-XX) 312 Ordinary differential equations (34-XX) 290 Numerical analysis (65-XX) 228 Astronomy and astrophysics (85-XX) 128 Relativity and gravitational theory (83-XX) 75 Fluid mechanics (76-XX) 74 Quantum theory (81-XX) 72 Partial differential equations (35-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 59 Differential geometry (53-XX) 57 Systems theory; control (93-XX) 48 Optics, electromagnetic theory (78-XX) 43 Mechanics of deformable solids (74-XX) 36 Special functions (33-XX) 31 Statistical mechanics, structure of matter (82-XX) 31 Geophysics (86-XX) 30 Computer science (68-XX) 23 Global analysis, analysis on manifolds (58-XX) 21 Operations research, mathematical programming (90-XX) 15 History and biography (01-XX) 14 Operator theory (47-XX) 13 Biology and other natural sciences (92-XX) 12 Algebraic geometry (14-XX) 12 Statistics (62-XX) 11 Commutative algebra (13-XX) 11 Nonassociative rings and algebras (17-XX) 11 Information and communication theory, circuits (94-XX) 10 General and overarching topics; collections (00-XX) 10 Difference and functional equations (39-XX) 9 Field theory and polynomials (12-XX) 9 Real functions (26-XX) 9 Probability theory and stochastic processes (60-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 6 Measure and integration (28-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Geometry (51-XX) 6 Convex and discrete geometry (52-XX) 4 Approximations and expansions (41-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 3 Algebraic topology (55-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Category theory; homological algebra (18-XX) 2 Potential theory (31-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Mathematics education (97-XX) Citations by Year