zbMATH — the first resource for mathematics

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: 1,732 Publications (since 1989) References Indexed: 1,254 Publications with 31,312 References.
all top 5

Latest Issues

 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) 117, No. 2 (2013) 117, No. 1 (2013) 116, No. 3 (2013) 116, No. 1 (2013) 115, No. 4 (2013) 115, No. 3 (2013) 115, No. 2 (2013) 115, No. 1 (2013) 114, No. 4 (2012) 114, No. 3 (2012) 114, No. 1-2 (2012) 113, No. 4 (2012) 113, No. 3 (2012) 113, No. 2 (2012) ...and 221 more Volumes
all top 5

Authors

 36 Scheeres, Daniel J. 25 Celletti, Alessandra 23 Breiter, Sławomir 23 Froeschlé, Claude 22 Morbidelli, Alessandro 21 Dvorak, Rudolf 21 Elipe, Antonio 21 Henrard, Jacques 20 Llibre, Jaume 19 Milani, Andrea 18 Hadjidemetriou, John D. 18 Lega, Elena 18 Maciejewski, Andrzej J. 18 Mikkola, Seppo 16 Efthymiopoulos, Christos 16 Érdi, Bálint 16 Gurfil, Pini 16 Lemaitre, Anne 16 Valsecchi, Giovanni Battista 15 Armellin, Roberto 15 Brumberg, Victor A. 15 Fukushima, Toshio 15 Robutel, Philippe 15 Voyatzis, George 14 Kholshevnikov, Konstantin Vladislavovich 14 Sun, Yisui 13 Beaugé, Cristián 13 Contopoulos, George 13 Guzzo, Massimiliano 13 Lara, Martín 13 Laskar, Jacques 13 Rossi, Alessandro 12 Circi, Christian 12 Ferraz-Mello, Sylvio 12 Gronchi, Giovanni-Federico 12 Russell, Ryan P. 11 Alfriend, Kyle T. 11 Ferrándiz, José Manuel 11 Giorgilli, Antonio 11 Gómez, Gerard 11 Kinoshita, Hiroshi 11 Muzzio, Juan C. 11 Tanikawa, Kiyotaka 10 Knežević, Zoran 10 Peláez, Jesús 10 Pucacco, Giuseppe 10 Sidorenko, Vladislav V. 10 Soffel, Michael H. 10 Tsiganis, Kleomenis 10 Voglis, Nikos 9 Alessi, Elisa Maria 9 Bozis, George 9 Cors, Josep Maria 9 di Lizia, Pierluigi 9 Froeschlé, Christiane 9 Métris, Gilles 9 Topputo, Francesco 9 Vidal, Claudio 8 Aarseth, Sverre Johannes 8 Bombardelli, Claudio 8 Cincotta, Pablo M. 8 Deprit, André 8 Efroimsky, Michael 8 Ferrer, Sebastián 8 Getino, Juan 8 Howell, Kathleen Connor 8 Jorba, Àngel 8 Krasinsky, G. A. 8 Lhotka, Christoph 8 Libert, Anne-Sophie 8 Liu, Lin 8 Locatelli, Ugo 8 Mortari, Daniele 8 Perdios, Efstathios A. 8 Sansottera, Marco 7 Baù, Giulio 7 Bernelli-Zazzera, Franco 7 Boué, Gwenaël 7 Casotto, Stefano 7 Corbera, Montserrat 7 Goździewski, Krzysztof 7 Hagel, Johannes 7 Ichtiaroglou, Simos 7 McInnes, Colin R. 7 Michtchenko, Tatiana A. 7 Papaloizou, John Christopher Baillie 7 Polymilis, C. 7 Sándor, Zsolt 7 Vasile, Massimiliano 7 Wachlin, Felipe C. 7 Xu, Shijie 7 Zhou, Jilin 6 Baoyin, Hexi 6 Barrabés, Esther 6 Bois, Eric 6 Colombo, Camilla 6 Correia, Alexandre C. M. 6 Giordano, Claudia M. 6 Hou, Xiyun 6 Liao, Xinhao ...and 1,479 more Authors
all top 5

Fields

 1,626 Mechanics of particles and systems (70-XX) 267 Dynamical systems and ergodic theory (37-XX) 154 Astronomy and astrophysics (85-XX) 66 Numerical analysis (65-XX) 50 Ordinary differential equations (34-XX) 31 Geophysics (86-XX) 30 Optics, electromagnetic theory (78-XX) 27 Relativity and gravitational theory (83-XX) 21 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 Computer science (68-XX) 6 Statistics (62-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

1,209 Publications have been cited 6,337 times in 2,575 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
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
On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool. Zbl 0986.37075
Froeschlé, Claude; Lega, Elena
2000
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
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
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
On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011
Belbruno, Edward; Llibre, Jaume; Ollé, Mercè
1994
New central configurations for the planar 5-body problem. Zbl 1251.70012
Llibre, Jaume; Mello, Luis Fernando
2008
Symplectic integrators for long-term integrations in celestial mechanics. Zbl 0744.70016
Gladman, Brett; Duncan, Martin; Candy, Jeff
1991
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
$$J_2$$ invariant relative orbits for spacecraft formations. Zbl 0989.70018
Schaub, Hanspeter; Alfriend, Kyle T.
2001
On the stability of the Lagrangian points in the spatial restricted problem of three bodies. Zbl 0724.70023
Celletti, Alessandra; Giorgilli, Antonio
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 vertical families of two-dimensional tori near the triangular points of the bicircular problem. Zbl 0977.70009
Castellà, Enric; Jorba, Àngel
2000
Stability in the full two-body problem. Zbl 1027.70012
Scheeres, D. J.
2002
Hamiltonian dynamics of a rigid body in a central gravitational field. Zbl 0737.70003
1991
Tidal friction in close-in satellites and exoplanets: the Darwin theory re-visited. Zbl 1342.70038
Ferraz-Mello, Sylvio; Rodríguez, Adrián; Hussmann, Hauke
2008
The Lissajous transformation. II: Normalization. Zbl 0756.70015
Deprit, André; Elipe, Antonio
1991
A note on weak stability boundaries. Zbl 1162.70006
García, F.; Gómez, G.
2007
Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050
Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena
2005
Frozen orbits for satellites close to an Earth-like planet. Zbl 0840.70020
Coffey, Shannon L.; Deprit, André; Deprit, Etienne
1994
Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time. Zbl 1147.70316
Yagasaki, Kazuyuki
2004
Central configurations of the five-body problem with equal masses. Zbl 1204.70013
Lee, Tsung-Lin; Santoprete, Manuele
2009
Low-energy, low-thrust transfers to the Moon. Zbl 1223.70091
Mingotti, G.; Topputo, F.; Bernelli-Zazzera, F.
2009
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
Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029
Soulis, P. S.; Papadakis, K. E.; Bountis, T.
2008
Symplectic integrators and their application to dynamical astronomy. Zbl 0724.70019
Kinoshita, Hiroshi; Yoshida, Haruo; Nakai, Hiroshi
1991
Stationary orbits in resonant extrasolar planetary systems. Zbl 1094.85002
Michtchenko, T. A.; Beaugé, C.; Ferraz-Mello, S.
2006
A new analytic approach to the Sitnikov problem. Zbl 0757.70006
Hagel, J.
1992
New stacked central configurations for the planar 5-body problem. Zbl 1270.70039
Llibre, Jaume; Mello, Luis Fernando; Perez-Chavela, Ernesto
2011
Evolution of migrating planet pairs in resonance. Zbl 1087.70007
Ferras-Mello, S.; Beauge, C.; Michtchenko, T. A.
2003
A class of periodic solutions of the $$N$$-body problem. Zbl 0684.70006
Coti Zelati, Vittorio
1989
The inverse problem for collinear central configurations. Zbl 0981.70012
Albouy, Alain; Moeckel, Richard
2000
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
Lie group variational integrators for the full body problem in orbital mechanics. Zbl 1330.70003
Lee, Taeyoung; Leok, Melvin; McClamroch, N. Harris
2007
Quantitative predictions with detuned normal forms. Zbl 1154.70328
Pucacco, Giuseppe; Boccaletti, Dino; Belmonte, Cinzia
2008
Kolmogorov and Nekhoroshev theory for the problem of three bodies. Zbl 1165.70010
Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco
2009
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
New families of periodic orbits in Hill’s problem of three bodies. Zbl 1062.70018
Hénon, Michel
2003
On the Sitnikov problem. Zbl 0718.70005
Liu, Jie; Sun, Yisui
1990
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141
Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano
2006
The restricted two-body problem in constant curvature spaces. Zbl 1116.70015
Borisov, Alexey V.; Mamaev, Ivan S.
2006
Finiteness of spatial central configurations in the five-body problem. Zbl 1270.70038
Hampton, Marshall; Jensen, Anders
2011
The gravitational potential of a homogeneous polyhedron or don’t cut corners. Zbl 0825.70059
Werner, Robert A.
1994
The phase space structure around $$L_4$$ in the restricted three-body problem. Zbl 0995.70007
Sándor, Zsolt; Érdi, Bálint; Efthymiopoulos, Christos
2000
The symmetrical one-dimensional Newtonian four-body problem: A numerical investigation. Zbl 1014.70012
Sweatman, Winston L.
2002
Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations. Zbl 1266.70045
2011
Quaternions and the perturbed Kepler problem. Zbl 1152.70303
Waldvogel, Jörg
2006
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
Symmetric planar central configurations of five bodies: Euler plus two. Zbl 1223.70031
Gidea, Marian; Llibre, Jaume
2010
Some properties of the dumbbell satellite attitude dynamics. Zbl 1342.70024
2008
Stability of the planar full 2-body problem. Zbl 1165.70008
Scheeres, D. J.
2009
Central configurations of the planar $$1+N$$ body problem. Zbl 0821.70007
Casasayas, Josefina; Llibre, Jaume; Nunes, Ana
1994
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
Solution of the Sitnikov problem. Zbl 1106.70323
Faruque, B.
2003
Orbit determination with very short arcs. I: Admissible regions. Zbl 1144.70007
Milani, Andrea; Gronchi, Giovanni F.; Vitturi, Mattia De’ Michieli; Knežević, Zoran
2004
Non-integrability of the generalized two fixed centres problem. Zbl 1132.70006
Maciejewski, Andrzej J.; Przybylska, Maria
2004
Central configurations of the planar coorbital satellite problem. Zbl 1145.70318
Cors, Josep M.; Llibre, Jaume; Ollé, Mercè
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
A semi-numerical perturbation method for separable Hamiltonian systems. Zbl 0728.70023
Henrard, Jacques
1990
Generalized problem of two and four Newtonian centers. Zbl 1129.70010
Borisov, Alexey V.; Mamaev, Ivan S.
2005
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
Second-order state transition for relative motion near perturbed, elliptic orbits. Zbl 1162.70023
Sengupta, Prasenjit; Vadali, Srinivas R.; Alfriend, Kyle T.
2007
Application of high order expansions of two-point boundary value problems to astrodynamics. Zbl 1223.70081
Di Lizia, P.; Armellin, R.; Lavagna, M.
2008
Fast computation of complete elliptic integrals and Jacobian elliptic functions. Zbl 1223.70005
Fukushima, Toshio
2009
Chaotic scattering in the restricted three-body problem. II: Small mass parameters. Zbl 0939.70010
Benet, L.; Seligman, T. H.; Trautmann, D.
1999
Decomposition of functions for elliptic orbits. Zbl 0822.70008
Osácar, Carlos; Palacián, Jesús
1994
Asymmetric librations in exterior resonances. Zbl 0852.70008
Beaugé, C.
1994
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
Stability of motion in the Sitnikov 3-body problem. Zbl 1162.70312
Soulis, P.; Bountis, T.; Dvorak, R.
2007
Gravitational field of fractal distribution of particles. Zbl 1145.85002
Tarasov, Vasily E.
2006
Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields. Zbl 1106.70330
Maciejewski, A. J.; Przybylska, M.
2003
The relative Lyapunov indicator: an efficient method of chaos detection. Zbl 1109.37033
Sándor, Zsolt; Bálint, Érdi; Széll, András; Funk, Barbara
2004
Periodic orbits around a massive straight segment. Zbl 0954.70013
Riaguaś, Andrés; Elipe, Antonio; Lara, Martín
1999
The existence and stability of equilibrium points in the Robe’s restricted three-body problem. Zbl 1006.70011
Hallan, P. P.; Rana, Neelam
2001
The family $$P_{12}$$ of the three-body problem – the simplest family of periodic orbits, with twelve symmetries per period. Zbl 1023.70007
Marchal, C.
2000
On motions near the Lagrange equilibrium point $$L_4$$ in the case of Routh’s critical mass ratio. Zbl 1082.70004
Bardin, Boris
2002
The global solution of the n-body problem. Zbl 0726.70006
Wang, Qui-Dong
1991
Tidal torques: a critical review of some techniques. Zbl 1223.70059
Efroimsky, Michael; Williams, James G.
2009
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.
2010
Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035
Celletti, Alessandra; Chierchia, Luigi
2008
Using FLI maps for preliminary spacecraft trajectory design in multi-body environments. Zbl 1154.70323
Villac, B. F.
2008
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
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
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
Nonlinear stability of the libration points in the photogravitational restricted three body problem. Zbl 0810.70008
Niedzielska, Zuzanna
1994
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
Families of Halo-like invariant tori around $$L_2$$ in the Earth-Moon bicircular problem. Zbl 07361318
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
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 manifold of variations: hazard assessment of short-term impactors. Zbl 07344093
Del Vigna, Alessio
2020
Cassini states of a rigid body with a liquid core. Zbl 1448.70009
Boué, Gwenaël
2020
Analytical shape uncertainties in the polyhedron gravity model. Zbl 1451.70030
Bercovici, Benjamin; Panicucci, Paolo; McMahon, Jay
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
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
Orbit determination for standard-like maps: asymptotic expansion of the confidence region in regular zones. Zbl 1448.70068
Marò, Stefano
2020
Secular resonance sweeping and orbital excitation in decaying disks. Zbl 1448.70079
Toliou, Athanasia; Tsiganis, Kleomenis; Tsirvoulis, Georgios
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
Low-energy transfers to the Moon with long transfer time. Zbl 1448.70072
Oshima, Kenta; Topputo, Francesco; Yanao, Tomohiro
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
A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. Zbl 1451.70032
Gierzkiewicz, Anna; Zgliczyński, Piotr
2019
Central configurations in planar $$n$$-body problem with equal masses for $$n=5,6,7$$. Zbl 1451.70024
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
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
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
A first integral to the partially averaged Newtonian potential of the three-body problem. Zbl 1448.70022
Pinzari, Gabriella
2019
Spatial unstable periodic quasi-satellite orbits and their applications to spacecraft trajectories. Zbl 1451.70025
Oshima, Kenta; Yanao, Tomohiro
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
Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance. Zbl 1451.70054
Sansottera, Marco; Libert, Anne-Sophie
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
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
Metrics in Keplerian orbits quotient spaces. Zbl 1390.70033
Milanov, Danila V.
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
On the chaotic diffusion in multidimensional Hamiltonian systems. Zbl 1382.37083
Cincotta, P. M.; Giordano, C. M.; Martí, J. G.; Beaugé, C.
2018
Lunar frozen orbits revisited. Zbl 1448.70071
Nie, Tao; Gurfil, Pini
2018
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
A database of planar axisymmetric periodic orbits for the solar system. Zbl 1447.70029
Restrepo, Ricardo L.; Russell, Ryan P.
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
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
Resonance tongues in the linear Sitnikov equation. Zbl 1391.70032
Misquero, Mauricio
2018
Variational and symplectic integrators for satellite relative orbit propagation including drag. Zbl 1391.70061
Palacios, Leonel; Gurfil, Pini
2018
The eccentric Kozai-Lidov effect as a resonance phenomenon. Zbl 1382.70008
2018
Dynamics of “jumping” Trojans: a perturbative treatment. Zbl 1448.70078
2018
A semi-analytical model of the Galilean satellites’ dynamics. Zbl 1447.70024
Lari, Giacomo
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
Origin and continuation of $$3/2, 5/2, 3/1, 4/1$$ and $$5/1$$ resonant periodic orbits in the circular and elliptic restricted three-body problem. Zbl 1447.70005
2018
Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode. Zbl 1396.70007
Mingari Scarpello, Giovanni; Ritelli, Daniele
2018
The Sitnikov problem for several primary bodies configurations. Zbl 1396.70014
Beltritti, Gastón; Mazzone, Fernando; Oviedo, Martina
2018
Long-term capture orbits for low-energy space missions. Zbl 1396.70027
Carletta, Stefano; Pontani, Mauro; Teofilatto, Paolo
2018
Regional positioning using a low Earth orbit satellite constellation. Zbl 1447.70030
Shtark, Tomer; Gurfil, Pini
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
Influence of periodic orbits on the formation of giant planetary systems. Zbl 1447.70026
2018
Secondary resonances and the boundary of effective stability of Trojan motions. Zbl 1390.70034
Páez, Rocío Isabel; Efthymiopoulos, Christos
2018
Fuel optimization for low-thrust Earth-Moon transfer via indirect optimal control. Zbl 1390.70024
Pérez-Palau, Daniel; Epenoy, Richard
2018
Action-minimizing solutions of the one-dimensional $$N$$-body problem. Zbl 1391.70036
Yu, Xiang; Zhang, Shiqing
2018
Polynomial expansions of single-mode motions around equilibrium points in the circular restricted three-body problem. Zbl 1391.70022
Lei, Hanlun; Xu, Bo; Circi, Christian
2018
The family of planar periodic orbits generated by the equal-mass four-body Schubart interplay orbit. Zbl 1391.70039
Chopovda, Valerie; Sweatman, Winston L.
2018
The rectilinear three-body problem as a basis for studying highly eccentric systems. Zbl 1447.70012
Voyatzis, G.; Tsiganis, K.; Gaitanas, M.
2018
Secular dynamics of multiplanetary circumbinary systems: stationary solutions and binary-planet secular resonance. Zbl 1382.70010
2018
Long-term attitude dynamics of space debris in Sun-synchronous orbits: Cassini cycles and chaotic stabilization. Zbl 1448.70066
Efimov, S.; Pritykin, D.; Sidorenko, V.
2018
Preliminary orbits with line-of-sight correction for LEO satellites observed with radar. Zbl 1448.70067
Ma, H.; Baù, Giulio; Bracali Cioci, D.; Gronchi, G. F.
2018
Stability and bifurcations of even periodic orbits in the Sitnikov problem. Zbl 1448.70037
Galán-Vioque, Jorge; Nuñez, Daniel; Rivera, Andrés; Riccio, Camila
2018
Phase correlations in chaotic dynamics: a Shannon entropy measure. Zbl 1448.70055
Cincotta, P. M.; Giordano, C. M.
2018
A multi-arc approach for chaotic orbit determination problems. Zbl 1448.70057
Serra, Daniele; Spoto, Federica; Milani, Andrea
2018
A family of stacked central configurations in the planar five-body problem. Zbl 1375.70038
Cornelio, J. Lino; Álvarez-Ramírez, M.; Cors, Josep M.
2017
Mutual potential between two rigid bodies with arbitrary shapes and mass distributions. Zbl 1374.70024
Hou, Xiyun; Scheeres, Daniel J.; Xin, Xiaosheng
2017
Relative equilibria of the restricted three-body problem in curved spaces. Zbl 1367.70024
Martínez, Regina; Simó, Carles
2017
De Sitter’s theory of Galilean satellites. Zbl 1374.70028
Broer, Henk; Zhao, Lei
2017
Analytical development of the lunisolar disturbing function and the critical inclination secular resonance. Zbl 1374.70029
Celletti, Alessandra; Galeş, Cătălin; Pucacco, Giuseppe; Rosengren, Aaron J.
2017
Radial periodic perturbations of the Kepler problem. Zbl 1375.34067
Fonda, Alessandro; Gallo, Anna Chiara
2017
Rotation of a rigid satellite with a fluid component: a new light onto Titan’s obliquity. Zbl 1379.70042
Boué, Gwenaël; Rambaux, Nicolas; Richard, Andy
2017
Minimal energy configurations of gravitationally interacting rigid bodies. Zbl 1365.70011
Moeckel, Richard
2017
The two rigid body interaction using angular momentum theory formulae. Zbl 1367.70019
Boué, Gwenaël
2017
On the co-orbital motion in the planar restricted three-body problem: the quasi-satellite motion revisited. Zbl 1374.70027
Pousse, Alexandre; Robutel, Philippe; Vienne, Alain
2017
Approximate solutions of non-linear circular orbit relative motion in curvilinear coordinates. Zbl 1374.70062
Bombardelli, Claudio; Gonzalo, Juan Luis; Roa, Javier
2017
Spatial collinear restricted four-body problem with repulsive Manev potential. Zbl 1375.70035
Barrabés, Esther; Cors, Josep M.; Vidal, Claudio
2017
Viscoelastic tides: models for use in Celestial Mechanics. Zbl 1365.70015
Ragazzo, C.; Ruiz, L. S.
2017
The reduction of the linear stability of elliptic Euler-Moulton solutions of the $$n$$-body problem to those of 3-body problems. Zbl 1365.70012
Zhou, Qinglong; Long, Yiming
2017
Bounded relative motion under zonal harmonics perturbations. Zbl 1365.70024
Baresi, Nicola; Scheeres, Daniel J.
2017
Kustaanheimo-Stiefel transformation with an arbitrary defining vector. Zbl 1367.70028
Breiter, Slawomir; Langner, Krzysztof
2017
Rigorous estimates for the relegation algorithm. Zbl 1374.70031
Sansottera, Marco; Ceccaroni, Marta
2017
The theory of asynchronous relative motion. I: Time transformations and nonlinear corrections. Zbl 1374.70065
Roa, Javier; Peláez, Jesús
2017
On the covering of a Hill’s region by solutions in the restricted three-body problem. Zbl 1374.70026
Kozlov, Valery; Polekhin, Ivan
2017
Note on the ideal frame formulation. Zbl 1375.70074
Lara, Martin
2017
Geostationary secular dynamics revisited: application to high area-to-mass ratio objects. Zbl 1367.70054
Gachet, Fabien; Celletti, Alessandra; Pucacco, Giuseppe; Efthymiopoulos, Christos
2017
Convergence of starters for solving Kepler’s equation via Smale’s $$\alpha$$-test. Zbl 1374.70023
Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L.
2017
First integrals for the Kepler problem with linear drag. Zbl 1374.70025
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
2017
The theory of asynchronous relative motion. II: Universal and regular solutions. Zbl 1374.70066
Roa, Javier; Peláez, Jesús
2017
Numerical study of the geometry of the phase space of the Augmented Hill Three-Body problem. Zbl 1375.70029
Farrés, Ariadna; Jorba, Àngel; Mondelo, Josep-Maria
2017
Tides in a body librating about a spin-orbit resonance: generalisation of the Darwin-Kaula theory. Zbl 1375.70046
Frouard, Julien; Efroimsky, Michael
2017
3-dimensional necklace flower constellations. Zbl 1379.70058
Arnas, David; Casanova, Daniel; Tresaco, Eva; Mortari, Daniele
2017
Periodic orbits for space-based reflectors in the circular restricted three-body problem. Zbl 1365.70009
Salazar, F. J. T.; McInnes, C. R.; Winter, O. C.
2017
Representation of light pressure resultant force and moment as a tensor series. Zbl 1374.70064
Nerovny, Nikolay; Zimin, Vladimir; Fedorchuk, Sergey; Golubev, Evgeny
2017
...and 1109 more Documents
all top 5

Cited by 2,539 Authors

 59 Llibre, Jaume 41 Vidal, Claudio 33 Celletti, Alessandra 29 Palacián, Jesús F. 28 Elipe, Antonio 28 Guzzo, Massimiliano 28 Pérez-Chavela, Ernesto 26 Scheeres, Daniel J. 23 Lega, Elena 22 Zhang, Shiqing 20 Fukushima, Toshio 20 Maciejewski, Andrzej J. 19 Diacu, Florin Nicolae 19 Froeschlé, Claude 19 Morbidelli, Alessandro 19 Pucacco, Giuseppe 19 Yanguas, Patricia 18 Lara, Martín 18 Yan, Duokui 18 Zotos, Euaggelos E. 17 Ferrer, Sebastián 17 Gurfil, Pini 17 Kalvouridis, Tilemahos J. 17 Singh, Jagadish 16 Cors, Josep Maria 16 Iorio, Lorenzo 16 Simó, Carles 16 Vera, Juan A. 16 Xie, Zhifu 16 Xu, Ming 16 Xu, Shijie 15 Alvarez-Ramírez, Martha 15 Baoyin, Hexi 15 Efthymiopoulos, Christos 15 Mello, Luis Fernando O. 15 Ouyang, Tiancheng 15 Papadakis, K. E. 15 Przybylska, Maria 14 Armellin, Roberto 14 Blanes, Sergio 14 Borisov, Alekseĭ Vladimirovich 14 García Guirao, Juan Luis 14 Hadjidemetriou, John D. 14 Vilhena de Moraes, Rodolpho 14 Voyatzis, George 13 Fernandes, Antonio Carlos 13 Gronchi, Giovanni-Federico 13 Jorba, Àngel 13 Kholshevnikov, Konstantin Vladislavovich 13 Lanchares, Víctor 13 Mamaev, Ivan Sergeevich 13 Perdios, Efstathios A. 13 Pinzari, Gabriella 13 Robutel, Philippe 13 Russell, Ryan P. 13 Sansottera, Marco 12 Corbera, Montserrat 12 Li, Junfeng 12 Santoprete, Manuele 12 Stoica, Cristina 12 Topputo, Francesco 11 Barrio, Roberto 11 Chierchia, Luigi 11 Cincotta, Pablo M. 11 Circi, Christian 11 Contopoulos, George 11 Da Silva Fernandes, Sandro 11 Dvorak, Rudolf 11 Gómez, Gerard 11 Leok, Melvin 11 Lhotka, Christoph 11 Locatelli, Ugo 11 Mireles-James, Jason D. 11 Prado, Antônio Fernando Bertachini de Almeida 11 San-Juan, Juan Félix 11 Sidorenko, Vladislav V. 11 Terracini, Susanna 11 Valls Anglés, Cláudia 10 Abouelmagd, Elbaz I. 10 Breiter, Sławomir 10 Burov, Aleksandr Anatol’evich 10 Ferrándiz, José Manuel 10 Giorgilli, Antonio 10 Henrard, Jacques 10 Laskar, Jacques 10 Lemaitre, Anne 10 Marchesiello, Antonella 10 Masdemont, Josep J. 10 Moeckel, Richard 10 Tsiganis, Kleomenis 9 Alessi, Elisa Maria 9 Bardin, Boris Sabirovich 9 Beaugé, Cristián 9 di Lizia, Pierluigi 9 Efroimsky, Michael 9 Galeş, Cătălin Bogdan 9 Giordano, Claudia M. 9 Iñarrea, Manuel 9 Long, Yiming 9 Meiss, James D. ...and 2,439 more Authors
all top 5

Cited in 277 Journals

 897 Celestial Mechanics and Dynamical Astronomy 73 Astrophysics and Space Science 71 Journal of Mathematical Physics 67 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 63 Regular and Chaotic Dynamics 62 Physica D 56 Communications in Nonlinear Science and Numerical Simulation 50 Chaos 44 Journal of Differential Equations 41 Nonlinear Dynamics 40 Qualitative Theory of Dynamical Systems 38 Applied Mathematics and Computation 34 Mathematical Problems in Engineering 30 Journal of Nonlinear Science 28 Journal of Computational and Applied Mathematics 27 Journal of Dynamics and Differential Equations 26 Journal of Mathematical Analysis and Applications 25 Archive for Rational Mechanics and Analysis 24 Chaos, Solitons and Fractals 24 Journal of Geometry and Physics 22 General Relativity and Gravitation 22 Computational and Applied Mathematics 22 SIAM Journal on Applied Dynamical Systems 17 Earth, Moon, and Planets 17 Nonlinearity 14 International Journal of Modern Physics D 14 Discrete and Continuous Dynamical Systems 14 Acta Mechanica Sinica 13 Journal of Computational Physics 12 Meccanica 11 Journal of Applied Mathematics and Mechanics 11 Prikladnaya Matematika i Mekhanika 11 Applied Numerical Mathematics 11 Nonlinear Analysis. Real World Applications 10 Communications in Mathematical Physics 10 Physics Letters. A 10 Journal of Optimization Theory and Applications 10 Transactions of the American Mathematical Society 10 Acta Applicandae Mathematicae 10 Discrete and Continuous Dynamical Systems. Series B 10 Nelineĭnaya Dinamika 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Numerical Algorithms 9 Dynamical Systems 8 International Journal of Theoretical Physics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Proceedings of the American Mathematical Society 8 Vestnik St. Petersburg University. Mathematics 8 Abstract and Applied Analysis 7 Journal of Fluid Mechanics 7 Applied Mathematics Letters 7 Journal of 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 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 International Journal of Computer Mathematics 6 Acta Mathematica Sinica. English Series 6 Journal of Nonlinear Mathematical Physics 6 Applications and Applied Mathematics 6 Journal of Geometric Mechanics 5 Theoretical and Mathematical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 BIT 5 Numerische Mathematik 5 Journal of Mathematical Sciences (New York) 5 Differential Equations and Dynamical Systems 5 International Journal of Modern Physics C 5 Advances in Mathematical Physics 4 Astronomische Nachrichten 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Statistical Physics 4 The Mathematical Intelligencer 4 Inventiones Mathematicae 4 Mathematics and Computers in Simulation 4 Systems & Control Letters 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Indagationes Mathematicae. New Series 4 Journal of Difference Equations and Applications 4 Journal of Geodesy 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Fixed Point Theory and Applications 4 Frontiers of Mathematics in China 4 Mechanics of Solids 3 Classical and Quantum Gravity 3 International Journal of Control 3 Physica A 3 Reports on Mathematical Physics 3 Mathematics of Computation 3 Advances in Mathematics 3 Annales de l’Institut Fourier 3 Automatica 3 Memoirs of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 3 Journal of Symbolic Computation 3 Journal of Computer and Systems Sciences International ...and 177 more Journals
all top 5

Cited in 55 Fields

 1,960 Mechanics of particles and systems (70-XX) 779 Dynamical systems and ergodic theory (37-XX) 268 Ordinary differential equations (34-XX) 240 Numerical analysis (65-XX) 193 Astronomy and astrophysics (85-XX) 104 Relativity and gravitational theory (83-XX) 63 Fluid mechanics (76-XX) 60 Partial differential equations (35-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 53 Systems theory; control (93-XX) 46 Quantum theory (81-XX) 45 Differential geometry (53-XX) 40 Optics, electromagnetic theory (78-XX) 37 Special functions (33-XX) 37 Mechanics of deformable solids (74-XX) 24 Geophysics (86-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Statistical mechanics, structure of matter (82-XX) 18 Computer science (68-XX) 12 Operations research, mathematical programming (90-XX) 11 History and biography (01-XX) 11 Operator theory (47-XX) 10 General and overarching topics; collections (00-XX) 10 Biology and other natural sciences (92-XX) 9 Commutative algebra (13-XX) 9 Real functions (26-XX) 8 Algebraic geometry (14-XX) 8 Nonassociative rings and algebras (17-XX) 8 Statistics (62-XX) 8 Information and communication theory, circuits (94-XX) 7 Field theory and polynomials (12-XX) 7 Difference and functional equations (39-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Geometry (51-XX) 6 Probability theory and stochastic processes (60-XX) 5 Topological groups, Lie groups (22-XX) 5 Measure and integration (28-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Mathematical logic and foundations (03-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 3 Combinatorics (05-XX) 3 Algebraic topology (55-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 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX)