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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: 1,732 Publications (since 1989)
References Indexed: 1,254 Publications with 31,312 References.
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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 1,478 more Authors

Publications by Year

Citations contained in zbMATH Open

1,209 Publications have been cited 6,354 times in 2,584 Documents Cited by Year
Fast Lyapunov indicators. Application to asteroidal motion. Zbl 0892.70008
Froeschlé, Claude; Lega, Elena; Gonczi, Robert
63
1997
Kepler’s problem in constant curvature spaces. Zbl 0765.70007
Kozlov, Valeri V.; Harin, Alexander O.
55
1992
How the method of minimization of action avoids singularities. Zbl 1073.70011
Marchal, C.
55
2002
Existence of invariant tori in three-dimensional measure-preserving mappings. Zbl 0705.70013
Cheng, Chongqing; Sun, Yisui
51
1990
Low energy transfer to the Moon. Zbl 0995.70009
Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D.
47
2001
Recent progress in the theory and application of symplectic integrators. Zbl 0777.70002
Yoshida, Haruo
43
1993
On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool. Zbl 0986.37075
Froeschlé, Claude; Lega, Elena
38
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
38
2000
Stability of the planetary three-body problem. I: Expansion of the planetary Hamiltonian. Zbl 0837.70008
Laskar, Jacques; Robutel, Philippe
34
1995
Reduction, relative equilibria and potential in the two rigid bodies problem. Zbl 0883.70007
Maciejewski, Andrzej J.
32
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.
32
1997
High-order symplectic integrators for perturbed Hamiltonian systems. Zbl 1013.70002
Laskar, Jacques; Robutel, Philippe
31
2001
Seven-body central configurations: a family of central configurations in the spatial seven-body problem. Zbl 1202.70014
Hampton, Marshall; Santoprete, Manuele
30
2007
New central configurations for the planar 5-body problem. Zbl 1251.70012
Llibre, Jaume; Mello, Luis Fernando
29
2008
On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011
Belbruno, Edward; Llibre, Jaume; Ollé, Mercè
28
1994
Symplectic integrators for long-term integrations in celestial mechanics. Zbl 0744.70016
Gladman, Brett; Duncan, Martin; Candy, Jeff
27
1991
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
\(J_2\) invariant relative orbits for spacecraft formations. Zbl 0989.70018
Schaub, Hanspeter; Alfriend, Kyle T.
26
2001
On the stability of the Lagrangian points in the spatial restricted problem of three bodies. Zbl 0724.70023
Celletti, Alessandra; Giorgilli, Antonio
25
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.
25
1993
On the vertical families of two-dimensional tori near the triangular points of the bicircular problem. Zbl 0977.70009
Castellà, Enric; Jorba, Àngel
24
2000
Stability in the full two-body problem. Zbl 1027.70012
Scheeres, D. J.
24
2002
Hamiltonian dynamics of a rigid body in a central gravitational field. Zbl 0737.70003
Wang, Li-Sheng; Krishnaprasad, P. S.; Maddocks, J. H.
23
1991
Tidal friction in close-in satellites and exoplanets: the Darwin theory re-visited. Zbl 1342.70038
Ferraz-Mello, Sylvio; Rodríguez, Adrián; Hussmann, Hauke
22
2008
The Lissajous transformation. II: Normalization. Zbl 0756.70015
Deprit, André; Elipe, Antonio
21
1991
A note on weak stability boundaries. Zbl 1162.70006
García, F.; Gómez, G.
21
2007
Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050
Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena
20
2005
Frozen orbits for satellites close to an Earth-like planet. Zbl 0840.70020
Coffey, Shannon L.; Deprit, André; Deprit, Etienne
20
1994
Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time. Zbl 1147.70316
Yagasaki, Kazuyuki
20
2004
Central configurations of the five-body problem with equal masses. Zbl 1204.70013
Lee, Tsung-Lin; Santoprete, Manuele
20
2009
Low-energy, low-thrust transfers to the Moon. Zbl 1223.70091
Mingotti, G.; Topputo, F.; Bernelli-Zazzera, F.
20
2009
Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029
Soulis, P. S.; Papadakis, K. E.; Bountis, T.
20
2008
Symplectic integrators and their application to dynamical astronomy. Zbl 0724.70019
Kinoshita, Hiroshi; Yoshida, Haruo; Nakai, Hiroshi
19
1991
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
New stacked central configurations for the planar 5-body problem. Zbl 1270.70039
Llibre, Jaume; Mello, Luis Fernando; Perez-Chavela, Ernesto
19
2011
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
17
2008
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
A class of periodic solutions of the \(N\)-body problem. Zbl 0684.70006
Coti Zelati, Vittorio
17
1989
Evolution of migrating planet pairs in resonance. Zbl 1087.70007
Ferras-Mello, S.; Beauge, C.; Michtchenko, T. A.
17
2003
Lie group variational integrators for the full body problem in orbital mechanics. Zbl 1330.70003
Lee, Taeyoung; Leok, Melvin; McClamroch, N. Harris
17
2007
Kolmogorov and Nekhoroshev theory for the problem of three bodies. Zbl 1165.70010
Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco
17
2009
The inverse problem for collinear central configurations. Zbl 0981.70012
Albouy, Alain; Moeckel, Richard
17
2000
On the Sitnikov problem. Zbl 0718.70005
Liu, Jie; Sun, Yisui
16
1990
Equilibrium points and central configurations for the Lennard-Jones 2- and 3-body problems. Zbl 1151.70310
Corbera, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto
16
2004
New families of periodic orbits in Hill’s problem of three bodies. Zbl 1062.70018
Hénon, Michel
16
2003
The restricted two-body problem in constant curvature spaces. Zbl 1116.70015
Borisov, Alexey V.; Mamaev, Ivan S.
16
2006
Symmetric planar central configurations of five bodies: Euler plus two. Zbl 1223.70031
Gidea, Marian; Llibre, Jaume
16
2010
Finiteness of spatial central configurations in the five-body problem. Zbl 1270.70038
Hampton, Marshall; Jensen, Anders
16
2011
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141
Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano
16
2006
Some properties of the dumbbell satellite attitude dynamics. Zbl 1342.70024
Celletti, Alessandra; Sidorenko, Vladislav
15
2008
The gravitational potential of a homogeneous polyhedron or don’t cut corners. Zbl 0825.70059
Werner, Robert A.
15
1994
The symmetrical one-dimensional Newtonian four-body problem: A numerical investigation. Zbl 1014.70012
Sweatman, Winston L.
15
2002
The phase space structure around \(L_4\) in the restricted three-body problem. Zbl 0995.70007
Sándor, Zsolt; Érdi, Bálint; Efthymiopoulos, Christos
15
2000
Stability of the planar full 2-body problem. Zbl 1165.70008
Scheeres, D. J.
15
2009
Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations. Zbl 1266.70045
Martinuşi, Vladimir; Gurfil, Pini
15
2011
Quaternions and the perturbed Kepler problem. Zbl 1152.70303
Waldvogel, Jörg
15
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
15
2006
A semi-numerical perturbation method for separable Hamiltonian systems. Zbl 0728.70023
Henrard, Jacques
14
1990
Generalized problem of two and four Newtonian centers. Zbl 1129.70010
Borisov, Alexey V.; Mamaev, Ivan S.
14
2005
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
Central configurations of the planar \(1+N\) body problem. Zbl 0821.70007
Casasayas, Josefina; Llibre, Jaume; Nunes, Ana
14
1994
Solution of the Sitnikov problem. Zbl 1106.70323
Faruque, B.
14
2003
Orbit determination with very short arcs. I: Admissible regions. Zbl 1144.70007
Milani, Andrea; Gronchi, Giovanni F.; Vitturi, Mattia De’ Michieli; Knežević, Zoran
14
2004
Non-integrability of the generalized two fixed centres problem. Zbl 1132.70006
Maciejewski, Andrzej J.; Przybylska, Maria
14
2004
Central configurations of the planar coorbital satellite problem. Zbl 1145.70318
Cors, Josep M.; Llibre, Jaume; Ollé, Mercè
14
2004
Symmetries and bifurcations in the Sitnikov problem. Zbl 0993.70010
Jiménez-Lara, Lidia; Escalona-Buendía, Adolfo
14
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.
14
2001
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
Application of high order expansions of two-point boundary value problems to astrodynamics. Zbl 1223.70081
Di Lizia, P.; Armellin, R.; Lavagna, M.
14
2008
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
Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035
Celletti, Alessandra; Chierchia, Luigi
13
2008
Using FLI maps for preliminary spacecraft trajectory design in multi-body environments. Zbl 1154.70323
Villac, B. F.
13
2008
The global solution of the n-body problem. Zbl 0726.70006
Wang, Qui-Dong
13
1991
Gravitational field of fractal distribution of particles. Zbl 1145.85002
Tarasov, Vasily E.
13
2006
Periodic orbits around a massive straight segment. Zbl 0954.70013
Riaguaś, Andrés; Elipe, Antonio; Lara, Martín
13
1999
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
13
2009
Decomposition of functions for elliptic orbits. Zbl 0822.70008
Osácar, Carlos; Palacián, Jesús
13
1994
Asymmetric librations in exterior resonances. Zbl 0852.70008
Beaugé, C.
13
1994
Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields. Zbl 1106.70330
Maciejewski, A. J.; Przybylska, M.
13
2003
The relative Lyapunov indicator: an efficient method of chaos detection. Zbl 1109.37033
Sándor, Zsolt; Bálint, Érdi; Széll, András; Funk, Barbara
13
2004
On motions near the Lagrange equilibrium point \(L_4\) in the case of Routh’s critical mass ratio. Zbl 1082.70004
Bardin, Boris
13
2002
The existence and stability of equilibrium points in the Robe’s restricted three-body problem. Zbl 1006.70011
Hallan, P. P.; Rana, Neelam
13
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.
13
2000
Chaotic scattering in the restricted three-body problem. II: Small mass parameters. Zbl 0939.70010
Benet, L.; Seligman, T. H.; Trautmann, D.
13
1999
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
The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem. Zbl 1162.70311
Perdios, E. A.
13
2007
Stability of motion in the Sitnikov 3-body problem. Zbl 1162.70312
Soulis, P.; Bountis, T.; Dvorak, R.
13
2007
Tidal torques: a critical review of some techniques. Zbl 1223.70059
Efroimsky, Michael; Williams, James G.
13
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.
13
2010
Quaternions for regularizing celestial mechanics: The right way. Zbl 1154.70309
Waldvogel, Jörg
12
2008
Linear stability of a self-gravitating ring. Zbl 0850.70148
Scheeres, D. J.; Vinh, N. X.
12
1991
The elliptic restricted problem at the 3:1 resonance. Zbl 0850.70100
Hadjidemetriou, John D.
12
1992
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
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
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.
2
2020
Use of the semilinear method to predict the impact corridor on ground. Zbl 1448.70035
Dimare, Linda; Del Vigna, Alessio; Bracali Cioci, Davide; Bernardi, Fabrizio
2
2020
Cassini states of a rigid body with a liquid core. Zbl 1448.70009
Boué, Gwenaël
1
2020
Analytical shape uncertainties in the polyhedron gravity model. Zbl 1451.70030
Bercovici, Benjamin; Panicucci, Paolo; McMahon, Jay
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
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
Orbit determination for standard-like maps: asymptotic expansion of the confidence region in regular zones. Zbl 1448.70068
Marò, Stefano
1
2020
Secular resonance sweeping and orbital excitation in decaying disks. Zbl 1448.70079
Toliou, Athanasia; Tsiganis, Kleomenis; Tsirvoulis, Georgios
1
2020
The manifold of variations: hazard assessment of short-term impactors. Zbl 07344093
Del Vigna, Alessio
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
4
2019
Classifying four-body convex central configurations. Zbl 1451.70022
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
4
2019
Low-energy transfers to the Moon with long transfer time. Zbl 1448.70072
Oshima, Kenta; Topputo, Francesco; Yanao, Tomohiro
2
2019
A family of periodic orbits in the three-dimensional lunar problem. Zbl 1448.70032
Belbruno, Edward; Frauenfelder, Urs; van Koert, Otto
2
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
2
2019
A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. Zbl 1451.70032
Gierzkiewicz, Anna; Zgliczyński, Piotr
2
2019
Central configurations in planar \(n\)-body problem with equal masses for \(n=5,6,7\). Zbl 1451.70024
Moczurad, Małgorzata; Zgliczyński, Piotr
2
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
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.
1
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
1
2019
A first integral to the partially averaged Newtonian potential of the three-body problem. Zbl 1448.70022
Pinzari, Gabriella
1
2019
Spatial unstable periodic quasi-satellite orbits and their applications to spacecraft trajectories. Zbl 1451.70025
Oshima, Kenta; Yanao, Tomohiro
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
Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance. Zbl 1451.70054
Sansottera, Marco; Libert, Anne-Sophie
1
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
1
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
1
2019
Shannon entropy applied to the planar restricted three-body problem. Zbl 1451.70017
Beaugé, C.; Cincotta, P. M.
1
2019
Free time minimizers for the three-body problem. Zbl 1390.70022
Moeckel, Richard; Montgomery, Richard; Sánchez Morgado, Héctor
5
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
5
2018
Lunar frozen orbits revisited. Zbl 1448.70071
Nie, Tao; Gurfil, Pini
3
2018
On the chaotic diffusion in multidimensional Hamiltonian systems. Zbl 1382.37083
Cincotta, P. M.; Giordano, C. M.; Martí, J. G.; Beaugé, C.
3
2018
Exact Delaunay normalization of the perturbed Keplerian Hamiltonian with tesseral harmonics. Zbl 1390.70061
Mahajan, Bharat; Vadali, Srinivas R.; Alfriend, Kyle T.
3
2018
Metrics in Keplerian orbits quotient spaces. Zbl 1390.70033
Milanov, Danila V.
3
2018
The Shannon entropy as a measure of diffusion in multidimensional dynamical systems. Zbl 1447.70015
Giordano, C. M.; Cincotta, P. M.
3
2018
A reverse KAM method to estimate unknown mutual inclinations in exoplanetary systems. Zbl 1391.70034
Volpi, Mara; Locatelli, Ugo; Sansottera, Marco
3
2018
Dynamics of “jumping” Trojans: a perturbative treatment. Zbl 1448.70078
Sidorenko, Vladislav V.
2
2018
The eccentric Kozai-Lidov effect as a resonance phenomenon. Zbl 1382.70008
Sidorenko, Vladislav V.
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
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
2
2018
Numerical integration of the \(N\)-body ring problem by recurrent power series. Zbl 1390.70023
Navarro, Juan F.
2
2018
Inclined asymmetric librations in exterior resonances. Zbl 1447.70017
Voyatzis, G.; Tsiganis, K.; Antoniadou, K. I.
2
2018
Resonance tongues in the linear Sitnikov equation. Zbl 1391.70032
Misquero, Mauricio
2
2018
Variational and symplectic integrators for satellite relative orbit propagation including drag. Zbl 1391.70061
Palacios, Leonel; Gurfil, Pini
2
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.
2
2018
A database of planar axisymmetric periodic orbits for the solar system. Zbl 1447.70029
Restrepo, Ricardo L.; Russell, Ryan P.
2
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.
1
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.
1
2018
Stability and bifurcations of even periodic orbits in the Sitnikov problem. Zbl 1448.70037
Galán-Vioque, Jorge; Nuñez, Daniel; Rivera, Andrés; Riccio, Camila
1
2018
Phase correlations in chaotic dynamics: a Shannon entropy measure. Zbl 1448.70055
Cincotta, P. M.; Giordano, C. M.
1
2018
A multi-arc approach for chaotic orbit determination problems. Zbl 1448.70057
Serra, Daniele; Spoto, Federica; Milani, Andrea
1
2018
The rectilinear three-body problem as a basis for studying highly eccentric systems. Zbl 1447.70012
Voyatzis, G.; Tsiganis, K.; Gaitanas, M.
1
2018
Secular dynamics of multiplanetary circumbinary systems: stationary solutions and binary-planet secular resonance. Zbl 1382.70010
Andrade-Ines, Eduardo; Robutel, Philippe
1
2018
Regional positioning using a low Earth orbit satellite constellation. Zbl 1447.70030
Shtark, Tomer; Gurfil, Pini
1
2018
The dynamics of the de Sitter resonance. Zbl 1447.70014
Celletti, Alessandra; Paita, Fabrizio; Pucacco, Giuseppe
1
2018
Counting relative equilibrium configurations of the full two-body problem. Zbl 1390.70015
Moeckel, Richard
1
2018
Influence of periodic orbits on the formation of giant planetary systems. Zbl 1447.70026
Libert, Anne-Sophie; Sotiriadis, Sotiris; Antoniadou, Kyriaki I.
1
2018
Secondary resonances and the boundary of effective stability of Trojan motions. Zbl 1390.70034
Páez, Rocío Isabel; Efthymiopoulos, Christos
1
2018
Fuel optimization for low-thrust Earth-Moon transfer via indirect optimal control. Zbl 1390.70024
Pérez-Palau, Daniel; Epenoy, Richard
1
2018
Action-minimizing solutions of the one-dimensional \(N\)-body problem. Zbl 1391.70036
Yu, Xiang; Zhang, Shiqing
1
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
1
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.
1
2018
A semi-analytical model of the Galilean satellites’ dynamics. Zbl 1447.70024
Lari, Giacomo
1
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.
1
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
1
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
Antoniadou, Kyriaki I.; Libert, Anne-Sophie
1
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
1
2018
The Sitnikov problem for several primary bodies configurations. Zbl 1396.70014
Beltritti, Gastón; Mazzone, Fernando; Oviedo, Martina
1
2018
Long-term capture orbits for low-energy space missions. Zbl 1396.70027
Carletta, Stefano; Pontani, Mauro; Teofilatto, Paolo
1
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.
8
2017
Mutual potential between two rigid bodies with arbitrary shapes and mass distributions. Zbl 1374.70024
Hou, Xiyun; Scheeres, Daniel J.; Xin, Xiaosheng
6
2017
Relative equilibria of the restricted three-body problem in curved spaces. Zbl 1367.70024
Martínez, Regina; Simó, Carles
6
2017
Minimal energy configurations of gravitationally interacting rigid bodies. Zbl 1365.70011
Moeckel, Richard
5
2017
De Sitter’s theory of Galilean satellites. Zbl 1374.70028
Broer, Henk; Zhao, Lei
5
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.
5
2017
Radial periodic perturbations of the Kepler problem. Zbl 1375.34067
Fonda, Alessandro; Gallo, Anna Chiara
5
2017
The two rigid body interaction using angular momentum theory formulae. Zbl 1367.70019
Boué, Gwenaël
5
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
5
2017
Viscoelastic tides: models for use in Celestial Mechanics. Zbl 1365.70015
Ragazzo, C.; Ruiz, L. S.
4
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
4
2017
Bounded relative motion under zonal harmonics perturbations. Zbl 1365.70024
Baresi, Nicola; Scheeres, Daniel J.
4
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
4
2017
Approximate solutions of non-linear circular orbit relative motion in curvilinear coordinates. Zbl 1374.70062
Bombardelli, Claudio; Gonzalo, Juan Luis; Roa, Javier
4
2017
Spatial collinear restricted four-body problem with repulsive Manev potential. Zbl 1375.70035
Barrabés, Esther; Cors, Josep M.; Vidal, Claudio
4
2017
Kustaanheimo-Stiefel transformation with an arbitrary defining vector. Zbl 1367.70028
Breiter, Slawomir; Langner, Krzysztof
4
2017
Rigorous estimates for the relegation algorithm. Zbl 1374.70031
Sansottera, Marco; Ceccaroni, Marta
3
2017
The theory of asynchronous relative motion. I: Time transformations and nonlinear corrections. Zbl 1374.70065
Roa, Javier; Peláez, Jesús
3
2017
On the covering of a Hill’s region by solutions in the restricted three-body problem. Zbl 1374.70026
Kozlov, Valery; Polekhin, Ivan
3
2017
Note on the ideal frame formulation. Zbl 1375.70074
Lara, Martin
3
2017
Geostationary secular dynamics revisited: application to high area-to-mass ratio objects. Zbl 1367.70054
Gachet, Fabien; Celletti, Alessandra; Pucacco, Giuseppe; Efthymiopoulos, Christos
3
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.
2
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.
2
2017
First integrals for the Kepler problem with linear drag. Zbl 1374.70025
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota
2
2017
The theory of asynchronous relative motion. II: Universal and regular solutions. Zbl 1374.70066
Roa, Javier; Peláez, Jesús
2
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
2
2017
Tides in a body librating about a spin-orbit resonance: generalisation of the Darwin-Kaula theory. Zbl 1375.70046
Frouard, Julien; Efroimsky, Michael
2
2017
3-dimensional necklace flower constellations. Zbl 1379.70058
Arnas, David; Casanova, Daniel; Tresaco, Eva; Mortari, Daniele
2
2017
An analytical description of three-dimensional heliocentric solar sail orbits. Zbl 1365.70027
Stewart, Brian; Palmer, Phil; Roberts, Mark
1
2017
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Cited by 2,557 Authors

59 Llibre, Jaume
42 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
19 Zotos, Euaggelos E.
18 Lara, Martín
18 Yan, Duokui
17 Ferrer, Sebastián
17 Gurfil, Pini
17 Iorio, Lorenzo
17 Kalvouridis, Tilemahos J.
17 Singh, Jagadish
16 Cors, Josep Maria
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 Fernandes, Antonio Carlos
14 García Guirao, Juan Luis
14 Hadjidemetriou, John D.
14 Vilhena de Moraes, Rodolpho
14 Voyatzis, George
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.
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Cited in 278 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
31 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
13 Physics Letters. A
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 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 Classical and Quantum Gravity
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 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 Applied Mathematical Modelling
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Cited in 55 Fields

1,966 Mechanics of particles and systems (70-XX)
781 Dynamical systems and ergodic theory (37-XX)
273 Ordinary differential equations (34-XX)
240 Numerical analysis (65-XX)
193 Astronomy and astrophysics (85-XX)
106 Relativity and gravitational theory (83-XX)
64 Fluid mechanics (76-XX)
59 Partial differential equations (35-XX)
55 Calculus of variations and optimal control; optimization (49-XX)
54 Systems theory; control (93-XX)
50 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)
23 Statistical mechanics, structure of matter (82-XX)
21 Global analysis, analysis on manifolds (58-XX)
18 Computer science (68-XX)
12 Operations research, mathematical programming (90-XX)
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3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Number theory (11-XX)
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