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Celestial Mechanics and Dynamical Astronomy

An International Journal of Space Dynamics

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

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

Publications by Year

Citations contained in zbMATH Open

1,289 Publications have been cited 7,015 times in 2,824 Documents Cited by Year
Fast Lyapunov indicators. Application to asteroidal motion. Zbl 0892.70008
Froeschlé, Claude; Lega, Elena; Gonczi, Robert
70
1997
How the method of minimization of action avoids singularities. Zbl 1073.70011
Marchal, C.
59
2002
Kepler’s problem in constant curvature spaces. Zbl 0765.70007
Kozlov, Valeri V.; Harin, Alexander O.
57
1992
Existence of invariant tori in three-dimensional measure-preserving mappings. Zbl 0705.70013
Cheng, Chongqing; Sun, Yisui
54
1990
Low energy transfer to the Moon. Zbl 0995.70009
Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D.
52
2001
Recent progress in the theory and application of symplectic integrators. Zbl 0777.70002
Yoshida, Haruo
47
1993
On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool. Zbl 0986.37075
Froeschlé, Claude; Lega, Elena
43
2000
Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: ‘Hip-hop’ orbits. (Minima de l’intégrale d’action du problème newtonien de 4 corps de masses égales dans \(R^3\): Orbites ‘hip-hop’.) Zbl 0984.70009
Chenciner, Alain; Venturelli, Andrea
40
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.
38
1997
Stability of the planetary three-body problem. I: Expansion of the planetary Hamiltonian. Zbl 0837.70008
Laskar, Jacques; Robutel, Philippe
38
1995
Reduction, relative equilibria and potential in the two rigid bodies problem. Zbl 0883.70007
Maciejewski, Andrzej J.
36
1995
High-order symplectic integrators for perturbed Hamiltonian systems. Zbl 1013.70002
Laskar, Jacques; Robutel, Philippe
32
2001
Seven-body central configurations: a family of central configurations in the spatial seven-body problem. Zbl 1202.70014
Hampton, Marshall; Santoprete, Manuele
31
2007
New central configurations for the planar 5-body problem. Zbl 1251.70012
Llibre, Jaume; Mello, Luis Fernando
31
2008
On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011
Belbruno, Edward; Llibre, Jaume; Ollé, Mercè
29
1994
Symplectic integrators for long-term integrations in celestial mechanics. Zbl 0744.70016
Gladman, Brett; Duncan, Martin; Candy, Jeff
28
1991
\(J_2\) invariant relative orbits for spacecraft formations. Zbl 0989.70018
Schaub, Hanspeter; Alfriend, Kyle T.
28
2001
Stability in the full two-body problem. Zbl 1027.70012
Scheeres, D. J.
27
2002
On the vertical families of two-dimensional tori near the triangular points of the bicircular problem. Zbl 0977.70009
Castellà, Enric; Jorba, Àngel
27
2000
Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions. Zbl 0837.70009
Robutel, Philippe
27
1995
The Lissajous transformation. I: Basics. Zbl 0756.70014
Deprit, André
26
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.
26
1993
On the stability of the Lagrangian points in the spatial restricted problem of three bodies. Zbl 0724.70023
Celletti, Alessandra; Giorgilli, Antonio
26
1991
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
Central configurations of the five-body problem with equal masses. Zbl 1204.70013
Lee, Tsung-Lin; Santoprete, Manuele
24
2009
Tidal friction in close-in satellites and exoplanets: the Darwin theory re-visited. Zbl 1342.70038
Ferraz-Mello, Sylvio; Rodríguez, Adrián; Hussmann, Hauke
24
2008
A note on weak stability boundaries. Zbl 1162.70006
García, F.; Gómez, G.
23
2007
The Lissajous transformation. II: Normalization. Zbl 0756.70015
Deprit, André; Elipe, Antonio
21
1991
Low-energy, low-thrust transfers to the Moon. Zbl 1223.70091
Mingotti, G.; Topputo, F.; Bernelli-Zazzera, F.
21
2009
Frozen orbits for satellites close to an Earth-like planet. Zbl 0840.70020
Coffey, Shannon L.; Deprit, André; Deprit, Etienne
21
1994
Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029
Soulis, P. S.; Papadakis, K. E.; Bountis, T.
21
2008
New stacked central configurations for the planar 5-body problem. Zbl 1270.70039
Llibre, Jaume; Mello, Luis Fernando; Perez-Chavela, Ernesto
21
2011
Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050
Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena
21
2005
Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time. Zbl 1147.70316
Yagasaki, Kazuyuki
20
2004
Symplectic integrators and their application to dynamical astronomy. Zbl 0724.70019
Kinoshita, Hiroshi; Yoshida, Haruo; Nakai, Hiroshi
20
1991
Finiteness of spatial central configurations in the five-body problem. Zbl 1270.70038
Hampton, Marshall; Jensen, Anders
20
2011
The inverse problem for collinear central configurations. Zbl 0981.70012
Albouy, Alain; Moeckel, Richard
19
2000
Kolmogorov and Nekhoroshev theory for the problem of three bodies. Zbl 1165.70010
Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco
19
2009
Symmetric planar central configurations of five bodies: Euler plus two. Zbl 1223.70031
Gidea, Marian; Llibre, Jaume
19
2010
Stationary orbits in resonant extrasolar planetary systems. Zbl 1094.85002
Michtchenko, T. A.; Beaugé, C.; Ferraz-Mello, S.
19
2006
Homographic solutions in the planar \(n+1\) body problem with quasi-homogeneous potentials. Zbl 1162.70314
Arribas, Mercedes; Elipe, Antonio; Kalvouridis, Tilemahos; Palacios, Manuel
19
2007
Stability of the planar full 2-body problem. Zbl 1165.70008
Scheeres, D. J.
18
2009
A new analytic approach to the Sitnikov problem. Zbl 0757.70006
Hagel, J.
18
1992
Quantitative predictions with detuned normal forms. Zbl 1154.70328
Pucacco, Giuseppe; Boccaletti, Dino; Belmonte, Cinzia
18
2008
Lie group variational integrators for the full body problem in orbital mechanics. Zbl 1330.70003
Lee, Taeyoung; Leok, Melvin; McClamroch, N. Harris
18
2007
The gravitational potential of a homogeneous polyhedron or don’t cut corners. Zbl 0825.70059
Werner, Robert A.
17
1994
New families of periodic orbits in Hill’s problem of three bodies. Zbl 1062.70018
Hénon, Michel
17
2003
Evolution of migrating planet pairs in resonance. Zbl 1087.70007
Ferras-Mello, S.; Beauge, C.; Michtchenko, T. A.
17
2003
Large scale chaos and marginal stability in the solar system. Zbl 0886.70012
Laskar, Jacques
17
1996
The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007
Morbidelli, Alessandro; Guzzo, Massimiliano
17
1997
Tidal torques: a critical review of some techniques. Zbl 1223.70059
Efroimsky, Michael; Williams, James G.
17
2009
Quaternions and the perturbed Kepler problem. Zbl 1152.70303
Waldvogel, Jörg
17
2006
The restricted two-body problem in constant curvature spaces. Zbl 1116.70015
Borisov, Alexey V.; Mamaev, Ivan S.
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
The phase space structure around \(L_4\) in the restricted three-body problem. Zbl 0995.70007
Sándor, Zsolt; Érdi, Bálint; Efthymiopoulos, Christos
17
2000
A class of periodic solutions of the \(N\)-body problem. Zbl 0684.70006
Coti Zelati, Vittorio
17
1989
Central configurations of the planar \(1+N\) body problem. Zbl 0821.70007
Casasayas, Josefina; Llibre, Jaume; Nunes, Ana
16
1994
Application of high order expansions of two-point boundary value problems to astrodynamics. Zbl 1223.70081
Di Lizia, P.; Armellin, R.; Lavagna, M.
16
2008
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141
Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano
16
2006
Central configurations of the planar coorbital satellite problem. Zbl 1145.70318
Cors, Josep M.; Llibre, Jaume; Ollé, Mercè
16
2004
The existence and stability of equilibrium points in the Robe’s restricted three-body problem. Zbl 1006.70011
Hallan, P. P.; Rana, Neelam
16
2001
Some properties of the dumbbell satellite attitude dynamics. Zbl 1342.70024
Celletti, Alessandra; Sidorenko, Vladislav
16
2008
On the Sitnikov problem. Zbl 0718.70005
Liu, Jie; Sun, Yisui
16
1990
Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations. Zbl 1266.70045
Martinuşi, Vladimir; Gurfil, Pini
16
2011
On target for Venus – set oriented computation of energy efficient low thrust trajectories. Zbl 1219.70067
Dellnitz, Michael; Junge, Oliver; Post, Marcus; Thiere, Bianca
15
2006
The symmetrical one-dimensional Newtonian four-body problem: A numerical investigation. Zbl 1014.70012
Sweatman, Winston L.
15
2002
Orbit determination with very short arcs. I: Admissible regions. Zbl 1144.70007
Milani, Andrea; Gronchi, Giovanni F.; Vitturi, Mattia De’ Michieli; Knežević, Zoran
15
2004
The relative Lyapunov indicator: an efficient method of chaos detection. Zbl 1109.37033
Sándor, Zsolt; Bálint, Érdi; Széll, András; Funk, Barbara
15
2004
Symmetries and bifurcations in the Sitnikov problem. Zbl 0993.70010
Jiménez-Lara, Lidia; Escalona-Buendía, Adolfo
15
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.
15
2001
Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035
Celletti, Alessandra; Chierchia, Luigi
15
2008
Secular perturbation theory and computation of asteroid proper elements. Zbl 0724.70008
Milani, Andrea; Knežević, Zoran
15
1990
The global solution of the n-body problem. Zbl 0726.70006
Wang, Qui-Dong
15
1991
A semi-numerical perturbation method for separable Hamiltonian systems. Zbl 0728.70023
Henrard, Jacques
15
1990
Mutual potential of homogeneous polyhedra. Zbl 1151.70312
Werner, Robert A.; Scheeres, Daniel J.
15
2005
Solution of the Sitnikov problem. Zbl 1106.70323
Faruque, B.
14
2003
Ejection-collision orbits and invariant punctured tori in a restricted four-body problem. Zbl 0951.70008
Maranhão, Dante L.; Llibre, Jaume
14
1999
Partial reduction in the \(N\)-body planetary problem using the angular momentum integral. Zbl 1026.70016
Malige, F.; Robutel, P.; Laskar, J.
14
2002
Resonant periodic motion and the stability of extrasolar planetary systems. Zbl 1083.70016
Hadjidemetriou, John D.
14
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
14
2002
Periodic orbits around a massive straight segment. Zbl 0954.70013
Riaguaś, Andrés; Elipe, Antonio; Lara, Martín
14
1999
Decomposition of functions for elliptic orbits. Zbl 0822.70008
Osácar, Carlos; Palacián, Jesús
14
1994
Fast computation of complete elliptic integrals and Jacobian elliptic functions. Zbl 1223.70005
Fukushima, Toshio
14
2009
Second-order state transition for relative motion near perturbed, elliptic orbits. Zbl 1162.70023
Sengupta, Prasenjit; Vadali, Srinivas R.; Alfriend, Kyle T.
14
2007
On motions near the Lagrange equilibrium point \(L_4\) in the case of Routh’s critical mass ratio. Zbl 1082.70004
Bardin, Boris
14
2002
Lagrangian coherent structures in the planar elliptic restricted three-body problem. Zbl 1157.70004
Gawlik, Evan S.; Marsden, Jerrold E.; Du Toit, Philip C.; Campagnola, Stefano
14
2009
Non-integrability of the generalized two fixed centres problem. Zbl 1132.70006
Maciejewski, Andrzej J.; Przybylska, Maria
14
2004
Invariant tori in the secular motions of the three-body planetary systems. Zbl 0995.70006
Locatelli, Ugo; Giorgilli, Antonio
14
2000
The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem. Zbl 1162.70311
Perdios, E. A.
14
2007
Gravitational field of fractal distribution of particles. Zbl 1145.85002
Tarasov, Vasily E.
14
2006
A family of symmetrical Schubart-like interplay orbits and their stability in the one-dimensional four-body problem. Zbl 1145.70007
Sweatman, Winston L.
14
2006
Generalized problem of two and four Newtonian centers. Zbl 1129.70010
Borisov, Alexey V.; Mamaev, Ivan S.
14
2005
The stability of vertical motion in the \(N\)-body circular Sitnikov problem. Zbl 1165.70012
Bountis, T.; Papadakis, K. E.
13
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
13
2009
Stability of Trojan planets in multi-planetary systems. Zbl 1165.70019
Schwarz, R.; Süli, Á.; Dvorak, R.; Pilat-Lohinger, E.
13
2009
Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields. Zbl 1106.70330
Maciejewski, A. J.; Przybylska, M.
13
2003
Periodic orbits of a collinear restricted three-body problem. Zbl 1062.70016
Corbera, Montserrat; Llibre, Jaume
13
2003
Linear stability of a self-gravitating ring. Zbl 0850.70148
Scheeres, D. J.; Vinh, N. X.
13
1991
The elliptic restricted problem at the 3:1 resonance. Zbl 0850.70100
Hadjidemetriou, John D.
13
1992
On the relationship between Lyapunov times and macroscopic instability times. Zbl 0880.58010
Morbidelli, Alessandro; Froeschlé, Claude
13
1996
Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. Zbl 1486.70053
Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael
1
2022
Overlong simulations of the solar system dynamics with two alternating step-lengths. Zbl 1490.70042
Mikkola, Seppo; Lehto, Harry J.
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
3
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.
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
Elliptical shape-based model for multi-revolution planeto-centric mission scenarios. Zbl 1466.70038
Prinetto, Jacopo; Lavagna, Michelle
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
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.
1
2021
Normal forms for the Laplace resonance. Zbl 1468.70015
Pucacco, Giuseppe
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
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
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
A flow-informed strategy for ballistic capture orbit generation. Zbl 1482.70026
Manzi, M.; Topputo, F.
1
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
1
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.
4
2020
Numerical integration in celestial mechanics: a case for contact geometry. Zbl 1443.65027
Bravetti, Alessandro; Seri, Marcello; Vermeeren, Mats; Zadra, Federico
3
2020
Cassini states of a rigid body with a liquid core. Zbl 1448.70009
Boué, Gwenaël
3
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
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.
2
2020
Secular resonance sweeping and orbital excitation in decaying disks. Zbl 1448.70079
Toliou, Athanasia; Tsiganis, Kleomenis; Tsirvoulis, Georgios
2
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
Observing Mercury by a quasi-propellantless mission. Zbl 1448.70064
Carbone, Andrea; Cinelli, Marco; Circi, Christian; Ortore, Emiliano
1
2020
Uniform formulation for orbit computation: the intermediate elements. Zbl 1448.70063
Baù, Giulio; Roa, Javier
1
2020
A dissipative Kepler problem with a family of singular drags. Zbl 1443.70039
Margheri, Alessandro; Misquero, Mauricio
1
2020
Analytical shape uncertainties in the polyhedron gravity model. Zbl 1451.70030
Bercovici, Benjamin; Panicucci, Paolo; McMahon, Jay
1
2020
Pfaffians and the inverse problem for collinear central configurations. Zbl 1448.70027
Ferrario, Davide L.
1
2020
Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune. Zbl 1448.70040
Kotoulas, T.; Voyatzis, G.
1
2020
Centaur and giant planet crossing populations: origin and distribution. Zbl 1448.70065
Di Sisto, Romina P.; Rossignoli, Natalia L.
1
2020
Evolution of orbits about comets with arbitrary comae. Zbl 1448.70070
Moretto, Mark; McMahon, Jay
1
2020
Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families. Zbl 1448.70054
Murray, Maxime; Mireles James, J. D.
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
Transfers from distant retrograde orbits to low lunar orbits. Zbl 1448.70084
Zhang, Ruikang; Wang, Yue; Zhang, Hao; Zhang, Chen
1
2020
The manifold of variations: hazard assessment of short-term impactors. Zbl 1470.70033
Del Vigna, Alessio
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
Central configurations in the spatial \(n\)-body problem for \(n=5,6\) with equal masses. Zbl 1470.70018
Moczurad, Małgorzata; Zgliczyński, Piotr
1
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
6
2019
Classifying four-body convex central configurations. Zbl 1451.70022
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
6
2019
A family of periodic orbits in the three-dimensional lunar problem. Zbl 1448.70032
Belbruno, Edward; Frauenfelder, Urs; van Koert, Otto
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
Central configurations in planar \(n\)-body problem with equal masses for \(n=5,6,7\). Zbl 1451.70024
Moczurad, Małgorzata; Zgliczyński, Piotr
4
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.
3
2019
A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. Zbl 1451.70032
Gierzkiewicz, Anna; Zgliczyński, Piotr
3
2019
Low-energy transfers to the Moon with long transfer time. Zbl 1448.70072
Oshima, Kenta; Topputo, Francesco; Yanao, Tomohiro
2
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
2
2019
Towards a sustainable exploitation of the geosynchronous orbital region. Zbl 1451.70042
Gkolias, Ioannis; Colombo, Camilla
2
2019
Planar \(N\)-body central configurations with a homogeneous potential. Zbl 1451.70023
Hampton, Marshall
2
2019
A first integral to the partially averaged Newtonian potential of the three-body problem. Zbl 1448.70022
Pinzari, Gabriella
2
2019
A search for triple collision orbits inside the domain of the free-fall three-body problem. Zbl 1451.70034
Tanikawa, Kiyotaka; Saito, Masaya M.; Mikkola, Seppo
2
2019
Tidal evolution of the Keplerian elements. Zbl 1451.70009
Boué, Gwenaël; Efroimsky, Michael
2
2019
A frequency portrait of low Earth orbits. Zbl 1451.70055
Schettino, Giulia; Alessi, Elisa Maria; Rossi, Alessandro; Valsecchi, Giovanni B.
2
2019
Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance. Zbl 1451.70054
Sansottera, Marco; Libert, Anne-Sophie
2
2019
A new radial, natural, higher-order intermediary of the main problem four decades after the elimination of the parallax. Zbl 1451.70036
Lara, Martin
2
2019
Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations. Zbl 1451.70029
Alessi, Elisa Maria; Colombo, Camilla; Rossi, Alessandro
2
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
2
2019
Shannon entropy applied to the planar restricted three-body problem. Zbl 1451.70017
Beaugé, C.; Cincotta, P. M.
2
2019
The Lissajous-Kustaanheimo-Stiefel transformation. Zbl 1448.70014
Breiter, Slawomir; Langner, Krzysztof
1
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.
1
2019
Symmetric periodic orbits in the Moulton-Copenhagen problem. Zbl 1451.70026
Palacios, Manuel; Arribas, Mercedes; Abad, Alberto; Elipe, Antonio
1
2019
A monotonic starter for solving the hyperbolic Kepler equation by Newton’s method. Zbl 1451.70010
Calvo, M.; Elipe, A.; Montijano, J. I.; Rández, L.
1
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.
1
2019
Spatial unstable periodic quasi-satellite orbits and their applications to spacecraft trajectories. Zbl 1451.70025
Oshima, Kenta; Yanao, Tomohiro
1
2019
Are the analytical proper elements of asteroids still needed? Zbl 1451.70045
Knežević, Zoran; Milani, Andrea
1
2019
Mixed-model gravity representations for small celestial bodies using mascons and spherical harmonics. Zbl 1451.70057
Wittick, Patrick T.; Russell, Ryan P.
1
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.
1
2019
Lambert’s theorem: geometry or dynamics? Zbl 1451.70008
Albouy, Alain
1
2019
Analytic orbit theory with any arbitrary spherical harmonic as the dominant perturbation. Zbl 1451.70048
Mahajan, Bharat; Alfriend, Kyle T.
1
2019
Charged dust close to outer mean-motion resonances in the heliosphere. Zbl 1451.70047
Lhotka, Christoph; Galeş, Cătălin
1
2019
On the solution to every Lambert problem. Zbl 1451.70014
Russell, Ryan P.
1
2019
Reduction and relative equilibria for the two-body problem on spaces of constant curvature. Zbl 1396.70011
Borisov, A. V.; García-Naranjo, L. C.; Mamaev, I. S.; Montaldi, J.
8
2018
Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the \(n\)-body problem. Zbl 1396.70015
Calleja, Renato; Doedel, Eusebius; García-Azpeitia, Carlos
6
2018
Free time minimizers for the three-body problem. Zbl 1390.70022
Moeckel, Richard; Montgomery, Richard; Sánchez Morgado, Héctor
6
2018
Exact Delaunay normalization of the perturbed Keplerian Hamiltonian with tesseral harmonics. Zbl 1390.70061
Mahajan, Bharat; Vadali, Srinivas R.; Alfriend, Kyle T.
5
2018
The eccentric Kozai-Lidov effect as a resonance phenomenon. Zbl 1382.70008
Sidorenko, Vladislav V.
5
2018
On the chaotic diffusion in multidimensional Hamiltonian systems. Zbl 1382.37083
Cincotta, P. M.; Giordano, C. M.; Martí, J. G.; Beaugé, C.
5
2018
The Shannon entropy as a measure of diffusion in multidimensional dynamical systems. Zbl 1447.70015
Giordano, C. M.; Cincotta, P. M.
4
2018
A reverse KAM method to estimate unknown mutual inclinations in exoplanetary systems. Zbl 1391.70034
Volpi, Mara; Locatelli, Ugo; Sansottera, Marco
4
2018
Lunar frozen orbits revisited. Zbl 1448.70071
Nie, Tao; Gurfil, Pini
4
2018
A database of planar axisymmetric periodic orbits for the solar system. Zbl 1447.70029
Restrepo, Ricardo L.; Russell, Ryan P.
4
2018
Resonance tongues in the linear Sitnikov equation. Zbl 1391.70032
Misquero, Mauricio
3
2018
Tidal synchronization of close-in satellites and exoplanets. III: Tidal dissipation revisited and application to Enceladus. Zbl 1445.70007
Folonier, H. A.; Ferraz-Mello, S.; Andrade-Ines, E.
3
2018
Phase correlations in chaotic dynamics: a Shannon entropy measure. Zbl 1448.70055
Cincotta, P. M.; Giordano, C. M.
3
2018
Metrics in Keplerian orbits quotient spaces. Zbl 1390.70033
Milanov, Danila V.
3
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
3
2018
Numerical integration of the \(N\)-body ring problem by recurrent power series. Zbl 1390.70023
Navarro, Juan F.
3
2018
Inclined asymmetric librations in exterior resonances. Zbl 1447.70017
Voyatzis, G.; Tsiganis, K.; Antoniadou, K. I.
2
2018
Variational and symplectic integrators for satellite relative orbit propagation including drag. Zbl 1391.70061
Palacios, Leonel; Gurfil, Pini
2
2018
Dynamics of “jumping” Trojans: a perturbative treatment. Zbl 1448.70078
Sidorenko, Vladislav V.
2
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.
2
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
2
2018
The Sitnikov problem for several primary bodies configurations. Zbl 1396.70014
Beltritti, Gastón; Mazzone, Fernando; Oviedo, Martina
2
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.
2
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.
2
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
2
2018
The dynamics of the de Sitter resonance. Zbl 1447.70014
Celletti, Alessandra; Paita, Fabrizio; Pucacco, Giuseppe
2
2018
Counting relative equilibrium configurations of the full two-body problem. Zbl 1390.70015
Moeckel, Richard
2
2018
...and 1189 more Documents
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Cited by 2,798 Authors

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

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

2,164 Mechanics of particles and systems (70-XX)
841 Dynamical systems and ergodic theory (37-XX)
295 Ordinary differential equations (34-XX)
268 Numerical analysis (65-XX)
207 Astronomy and astrophysics (85-XX)
118 Relativity and gravitational theory (83-XX)
68 Partial differential equations (35-XX)
67 Fluid mechanics (76-XX)
62 Quantum theory (81-XX)
60 Calculus of variations and optimal control; optimization (49-XX)
54 Systems theory; control (93-XX)
50 Differential geometry (53-XX)
45 Optics, electromagnetic theory (78-XX)
41 Mechanics of deformable solids (74-XX)
37 Special functions (33-XX)
30 Statistical mechanics, structure of matter (82-XX)
26 Geophysics (86-XX)
23 Computer science (68-XX)
21 Global analysis, analysis on manifolds (58-XX)
18 Operations research, mathematical programming (90-XX)
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12 Biology and other natural sciences (92-XX)
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6 Geometry (51-XX)
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4 Convex and discrete geometry (52-XX)
3 Mathematical logic and foundations (03-XX)
3 Combinatorics (05-XX)
3 Algebraic topology (55-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Number theory (11-XX)
2 Category theory; homological algebra (18-XX)
2 Functions of a complex variable (30-XX)
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1 Functional analysis (46-XX)
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