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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: https://link.springer.com/journal/10569/volumes-and-issues
Predecessor: Celestial Mechanics
Comments: Journal
Documents Indexed: 1,884 Publications (since 1989)
References Indexed: 1,412 Publications with 36,878 References.
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135, No. 6 (2023)
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Authors

38 Scheeres, Daniel J.
27 Celletti, Alessandra
23 Breiter, Sławomir
23 Elipe, Antonio
23 Froeschlé, Claude
22 Efthymiopoulos, Christos
22 Morbidelli, Alessandro
21 Dvorak, Rudolf
21 Henrard, Jacques
21 Llibre, Jaume
21 Mikkola, Seppo
19 Lega, Elena
19 Lemaitre, Anne
19 Maciejewski, Andrzej J.
19 Milani, Andrea
18 Hadjidemetriou, John D.
17 Gurfil, Pini
17 Valsecchi, Giovanni Battista
16 Armellin, Roberto
16 Érdi, Bálint
16 Voyatzis, George
15 Brumberg, Victor A.
15 Fukushima, Toshio
15 Gronchi, Giovanni-Federico
15 Lara, Martín
15 Laskar, Jacques
14 Beaugé, Cristián
14 Ferraz-Mello, Sylvio
14 Guzzo, Massimiliano
14 Kholshevnikov, Konstantin Vladislavovich
14 Sun, Yisui
13 Contopoulos, George
13 Gómez, Gerard
13 Pucacco, Giuseppe
13 Rossi, Alessandro
13 Tanikawa, Kiyotaka
12 Circi, Christian
12 Russell, Ryan P.
11 Alfriend, Kyle T.
11 Ferrándiz, José Manuel
11 Giorgilli, Antonio
11 Kinoshita, Hiroshi
11 Locatelli, Ugo
11 Muzzio, Juan C.
11 Sidorenko, Vladislav V.
11 Topputo, Francesco
10 Baù, Giulio
10 Howell, Kathleen Connor
10 Jorba, Àngel
10 Knežević, Zoran
10 Peláez, Jesús
10 Soffel, Michael H.
10 Tsiganis, Kleomenis
10 Voglis, Nikos
9 Alessi, Elisa Maria
9 Bombardelli, Claudio
9 Boué, Gwenaël
9 Bozis, George
9 Colombo, Camilla
9 Cors, Josep Maria
9 Froeschlé, Christiane
9 Lhotka, Christoph
9 McInnes, Colin R.
9 McMahon, Jay W.
9 Métris, Gilles
9 Mortari, Daniele
9 Sansottera, Marco
9 Vasile, Massimiliano
9 Vidal, Claudio
8 Aarseth, Sverre Johannes
8 Cincotta, Pablo M.
8 Correia, Alexandre C. M.
8 Deprit, André
8 di Lizia, Pierluigi
8 Efroimsky, Michael
8 Ferrer, Sebastián
8 Getino, Juan
8 Krasinsky, G. A.
8 Libert, Anne-Sophie
8 Liu, Lin
8 Perdios, Efstathios A.
8 Xu, Shijie
7 Bernelli-Zazzera, Franco
7 Casotto, Stefano
7 Corbera, Montserrat
7 Fienga, Agnès
7 Goździewski, Krzysztof
7 Hou, Xiyun
7 Ichtiaroglou, Simos
7 Masdemont, Josep J.
7 Michtchenko, Tatiana A.
7 Papaloizou, John Christopher Baillie
7 Pilat-Lohinger, Elke
7 Polymilis, C.
7 Przybylska, Maria
7 Rambaux, Nicolas
7 Rosengren, Aaron J.
7 Sándor, Zsolt
7 Wachlin, Felipe C.
7 Zhou, Jilin
...and 1,642 more Authors

Publications by Year

Citations contained in zbMATH Open

1,383 Publications have been cited 8,212 times in 3,176 Documents Cited by Year
Fast Lyapunov indicators. Application to asteroidal motion. Zbl 0892.70008
Froeschlé, Claude; Lega, Elena; Gonczi, Robert
86
1997
Kepler’s problem in constant curvature spaces. Zbl 0765.70007
Kozlov, Valeri V.; Harin, Alexander O.
66
1992
How the method of minimization of action avoids singularities. Zbl 1073.70011
Marchal, C.
64
2002
Existence of invariant tori in three-dimensional measure-preserving mappings. Zbl 0705.70013
Cheng, Chongqing; Sun, Yisui
59
1990
Low energy transfer to the Moon. Zbl 0995.70009
Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D.
58
2001
Recent progress in the theory and application of symplectic integrators. Zbl 0777.70002
Yoshida, Haruo
49
1993
Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: ‘Hip-hop’ orbits. (Minima de l’intégrale d’action du problème newtonien de 4 corps de masses égales dans \(R^3\): Orbites ‘hip-hop’.) Zbl 0984.70009
Chenciner, Alain; Venturelli, Andrea
47
2000
On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool. Zbl 0986.37075
Froeschlé, Claude; Lega, Elena
47
2000
Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia. Zbl 0881.70008
Werner, Robert A.; Scheeres, Daniel J.
47
1997
Stability of the planetary three-body problem. I: Expansion of the planetary Hamiltonian. Zbl 0837.70008
Laskar, Jacques; Robutel, Philippe
43
1995
Reduction, relative equilibria and potential in the two rigid bodies problem. Zbl 0883.70007
Maciejewski, Andrzej J.
42
1995
High-order symplectic integrators for perturbed Hamiltonian systems. Zbl 1013.70002
Laskar, Jacques; Robutel, Philippe
37
2001
Low-energy, low-thrust transfers to the Moon. Zbl 1223.70091
Mingotti, G.; Topputo, F.; Bernelli-Zazzera, F.
36
2009
On the families of periodic orbits which bifurcate from the circular Sitnikov motions. Zbl 0818.70011
Belbruno, Edward; Llibre, Jaume; Ollé, Mercè
33
1994
New central configurations for the planar 5-body problem. Zbl 1251.70012
Llibre, Jaume; Mello, Luis Fernando
32
2008
On the vertical families of two-dimensional tori near the triangular points of the bicircular problem. Zbl 0977.70009
Castellà, Enric; Jorba, Àngel
32
2000
Symplectic integrators for long-term integrations in celestial mechanics. Zbl 0744.70016
Gladman, Brett; Duncan, Martin; Candy, Jeff
32
1991
Seven-body central configurations: a family of central configurations in the spatial seven-body problem. Zbl 1202.70014
Hampton, Marshall; Santoprete, Manuele
32
2007
Stability in the full two-body problem. Zbl 1027.70012
Scheeres, D. J.
32
2002
Stability of the planetary three-body problem. II: KAM theory and existence of quasiperiodic motions. Zbl 0837.70009
Robutel, Philippe
30
1995
\(J_2\) invariant relative orbits for spacecraft formations. Zbl 0989.70018
Schaub, Hanspeter; Alfriend, Kyle T.
30
2001
Study of the transfer from the Earth to a halo orbit around the equilibrium point \(L_ 1\). Zbl 0780.70007
Gómez, G.; Jorba, A.; Masdemont, J.; Simó, C.
29
1993
On the stability of the Lagrangian points in the spatial restricted problem of three bodies. Zbl 0724.70023
Celletti, Alessandra; Giorgilli, Antonio
28
1991
The Lissajous transformation. I: Basics. Zbl 0756.70014
Deprit, André
27
1991
Finiteness of spatial central configurations in the five-body problem. Zbl 1270.70038
Hampton, Marshall; Jensen, Anders
27
2011
Central configurations of the five-body problem with equal masses. Zbl 1204.70013
Lee, Tsung-Lin; Santoprete, Manuele
26
2009
Stationary orbits in resonant extrasolar planetary systems. Zbl 1094.85002
Michtchenko, T. A.; Beaugé, C.; Ferraz-Mello, S.
26
2006
A note on weak stability boundaries. Zbl 1162.70006
García, F.; Gómez, G.
26
2007
Tidal friction in close-in satellites and exoplanets: the Darwin theory re-visited. Zbl 1342.70038
Ferraz-Mello, Sylvio; Rodríguez, Adrián; Hussmann, Hauke
25
2008
Hamiltonian dynamics of a rigid body in a central gravitational field. Zbl 0737.70003
Wang, Li-Sheng; Krishnaprasad, P. S.; Maddocks, J. H.
25
1991
Lie group variational integrators for the full body problem in orbital mechanics. Zbl 1330.70003
Lee, Taeyoung; Leok, Melvin; McClamroch, N. Harris
23
2007
Symmetric planar central configurations of five bodies: Euler plus two. Zbl 1223.70031
Gidea, Marian; Llibre, Jaume
23
2010
The inverse problem for collinear central configurations. Zbl 0981.70012
Albouy, Alain; Moeckel, Richard
23
2000
The gravitational potential of a homogeneous polyhedron or don’t cut corners. Zbl 0825.70059
Werner, Robert A.
23
1994
Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time. Zbl 1147.70316
Yagasaki, Kazuyuki
23
2004
Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050
Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena
23
2005
The Lissajous transformation. II: Normalization. Zbl 0756.70015
Deprit, André; Elipe, Antonio
23
1991
Kolmogorov and Nekhoroshev theory for the problem of three bodies. Zbl 1165.70010
Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco
23
2009
New stacked central configurations for the planar 5-body problem. Zbl 1270.70039
Llibre, Jaume; Mello, Luis Fernando; Perez-Chavela, Ernesto
23
2011
Frozen orbits for satellites close to an Earth-like planet. Zbl 0840.70020
Coffey, Shannon L.; Deprit, André; Deprit, Etienne
22
1994
The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007
Morbidelli, Alessandro; Guzzo, Massimiliano
22
1997
Stability of the planar full 2-body problem. Zbl 1165.70008
Scheeres, D. J.
22
2009
Periodic orbits and bifurcations in the Sitnikov four-body problem. Zbl 1254.70029
Soulis, P. S.; Papadakis, K. E.; Bountis, T.
22
2008
Homographic solutions in the planar \(n+1\) body problem with quasi-homogeneous potentials. Zbl 1162.70314
Arribas, Mercedes; Elipe, Antonio; Kalvouridis, Tilemahos; Palacios, Manuel
21
2007
Invariant tori in the secular motions of the three-body planetary systems. Zbl 0995.70006
Locatelli, Ugo; Giorgilli, Antonio
21
2000
The global solution of the n-body problem. Zbl 0726.70006
Wang, Qui-Dong
21
1991
The existence and stability of equilibrium points in the Robe’s restricted three-body problem. Zbl 1006.70011
Hallan, P. P.; Rana, Neelam
20
2001
Lagrangian coherent structures in the planar elliptic restricted three-body problem. Zbl 1157.70004
Gawlik, Evan S.; Marsden, Jerrold E.; Du Toit, Philip C.; Campagnola, Stefano
20
2009
Symmetric and nonsymmetric periodic orbits in the exterior mean motion resonances with Neptune. Zbl 1093.70007
Voyatzis, G.; Kotoulas, T.; Hadjidemetriou, J. D.
20
2005
Symplectic integrators and their application to dynamical astronomy. Zbl 0724.70019
Kinoshita, Hiroshi; Yoshida, Haruo; Nakai, Hiroshi
20
1991
Large scale chaos and marginal stability in the solar system. Zbl 0886.70012
Laskar, Jacques
20
1996
The restricted two-body problem in constant curvature spaces. Zbl 1116.70015
Borisov, Alexey V.; Mamaev, Ivan S.
19
2006
Some properties of the dumbbell satellite attitude dynamics. Zbl 1342.70024
Celletti, Alessandra; Sidorenko, Vladislav
19
2008
New families of periodic orbits in Hill’s problem of three bodies. Zbl 1062.70018
Hénon, Michel
19
2003
Central configurations of the planar \(1+N\) body problem. Zbl 0821.70007
Casasayas, Josefina; Llibre, Jaume; Nunes, Ana
18
1994
The phase space structure around \(L_4\) in the restricted three-body problem. Zbl 0995.70007
Sándor, Zsolt; Érdi, Bálint; Efthymiopoulos, Christos
18
2000
Quaternions and the perturbed Kepler problem. Zbl 1152.70303
Waldvogel, Jörg
18
2006
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141
Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano
18
2006
Quantitative predictions with detuned normal forms. Zbl 1154.70328
Pucacco, Giuseppe; Boccaletti, Dino; Belmonte, Cinzia
18
2008
Secular perturbation theory and computation of asteroid proper elements. Zbl 0724.70008
Milani, Andrea; Knežević, Zoran
18
1990
A new analytic approach to the Sitnikov problem. Zbl 0757.70006
Hagel, J.
18
1992
Universal properties of escape in dynamical systems. Zbl 0893.58049
Siopis, Christos; Kandrup, Henry E.; Contopoulos, G.; Dvorak, Rudolf
18
1997
Evolution of migrating planet pairs in resonance. Zbl 1087.70007
Ferras-Mello, S.; Beauge, C.; Michtchenko, T. A.
18
2003
A class of periodic solutions of the \(N\)-body problem. Zbl 0684.70006
Coti Zelati, Vittorio
17
1989
Application of high order expansions of two-point boundary value problems to astrodynamics. Zbl 1223.70081
Di Lizia, P.; Armellin, R.; Lavagna, M.
17
2008
Tidal torques: a critical review of some techniques. Zbl 1223.70059
Efroimsky, Michael; Williams, James G.
17
2009
Symmetries and bifurcations in the Sitnikov problem. Zbl 0993.70010
Jiménez-Lara, Lidia; Escalona-Buendía, Adolfo
17
2001
On target for Venus – set oriented computation of energy efficient low thrust trajectories. Zbl 1219.70067
Dellnitz, Michael; Junge, Oliver; Post, Marcus; Thiere, Bianca
17
2006
Equilibrium points and central configurations for the Lennard-Jones 2- and 3-body problems. Zbl 1151.70310
Corbera, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto
17
2004
Central configurations of the planar coorbital satellite problem. Zbl 1145.70318
Cors, Josep M.; Llibre, Jaume; Ollé, Mercè
17
2004
On the relationship between fast Lyapunov indicator and periodic orbits for continuous flows. Zbl 1083.70011
Fouchard, Marc; Lega, Elena; Froeschlé, Christiane; Froeschlé, Claude
17
2002
Non-integrability of first order resonances in Hamiltonian systems in three degrees of freedom. Zbl 1266.70038
Christov, Ognyan
17
2012
Solutions and periodicity of satellite relative motion under even zonal harmonics perturbations. Zbl 1266.70045
Martinuşi, Vladimir; Gurfil, Pini
17
2011
Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035
Celletti, Alessandra; Chierchia, Luigi
16
2008
Periodic orbits of the Sitnikov problem via a Poincaré map. Zbl 0986.70010
Corbera, Montserrat; Llibre, Jaume
16
2000
Existence and stability of libration points in the restricted three-body problem when the primaries are triaxial rigid bodies. Zbl 0999.70010
Sharma, Ravinder Kumar; Taqvi, Z. A.; Bhatnagar, K. B.
16
2001
Solar sail halo orbits at the Sun-Earth artificial \(L_1\) point. Zbl 1125.70020
Baoyin, Hexi; McInnes, Colin R.
16
2006
A special perturbation method in orbital dynamics. Zbl 1162.70022
Peláez, Jesús; Hedo, José Manuel; Rodríguez de Andrés, Pedro
16
2007
On integrable Hamiltonians with velocity-dependent potentials. Zbl 1134.70006
Pucacco, Giuseppe
16
2004
Orbit determination with very short arcs. I: Admissible regions. Zbl 1144.70007
Milani, Andrea; Gronchi, Giovanni F.; Vitturi, Mattia De’ Michieli; Knežević, Zoran
16
2004
The relative Lyapunov indicator: an efficient method of chaos detection. Zbl 1109.37033
Sándor, Zsolt; Bálint, Érdi; Széll, András; Funk, Barbara
16
2004
On the Sitnikov problem. Zbl 0718.70005
Liu, Jie; Sun, Yisui
16
1990
Mutual potential of homogeneous polyhedra. Zbl 1151.70312
Werner, Robert A.; Scheeres, Daniel J.
16
2005
Energy and stability in the full two body problem. Zbl 1334.70022
Bellerose, Julie; Scheeres, Daniel J.
16
2008
Some results on the global dynamics of the regularized restricted three-body problem with dissipation. Zbl 1270.70029
Celletti, Alessandra; Stefanelli, Letizia; Lega, Elena; Froeschlé, Claude
16
2011
Periodic and quasi-periodic motions of a solar sail close to \(SL _{1}\) in the Earth-Sun system. Zbl 1291.70039
Farrés, Ariadna; Jorba, Àngel
16
2010
Decomposition of functions for elliptic orbits. Zbl 0822.70008
Osácar, Carlos; Palacián, Jesús
15
1994
Asteroid close encounters characterization using differential algebra: the case of apophis. Zbl 1223.70035
Armellin, R.; Di Lizia, P.; Bernelli-Zazzera, F.; Berz, M.
15
2010
Linear stability for some symmetric periodic simultaneous binary collision orbits in the four-body problem. Zbl 1223.70029
Bakker, Lennard F.; Ouyang, Tiancheng; Yan, Duokui; Simmons, Skyler; Roberts, Gareth E.
15
2010
Precise computation of acceleration due to uniform ring or disk. Zbl 1223.70040
Fukushima, Toshio
15
2010
Ellipsoidal harmonic expansions of the gravitational potential: theory and application. Zbl 1065.70009
Garmier, Romain; Barriot, Jean-Pierre
15
2001
Ejection-collision orbits and invariant punctured tori in a restricted four-body problem. Zbl 0951.70008
Maranhão, Dante L.; Llibre, Jaume
15
1999
Periodic orbits of a collinear restricted three-body problem. Zbl 1062.70016
Corbera, Montserrat; Llibre, Jaume
15
2003
Symmetric and asymmetric librations in extrasolar planetary systems: a global view. Zbl 1219.70027
Hadjidemetriou, John D.
15
2006
Quaternions for regularizing celestial mechanics: The right way. Zbl 1154.70309
Waldvogel, Jörg
15
2008
Using FLI maps for preliminary spacecraft trajectory design in multi-body environments. Zbl 1154.70323
Villac, B. F.
15
2008
Non-integrability of the generalized two fixed centres problem. Zbl 1132.70006
Maciejewski, Andrzej J.; Przybylska, Maria
15
2004
Restricted \(N+1\)-body problem: existence and stability of relative equilibria. Zbl 1135.70005
Bang, D.; Elmabsout, B.
15
2004
A semi-numerical perturbation method for separable Hamiltonian systems. Zbl 0728.70023
Henrard, Jacques
15
1990
The Lissajous transformation. III: Parametric bifurcations. Zbl 0756.70016
Miller, Bruce R.
15
1991
The Conley-Zehnder indices of the spatial Hill three-body problem. Zbl 1516.70012
Aydin, Cengiz
2
2023
Framework for the full N-body problem in \(\mathsf{SE}(3)\) and its reduction to the circular restricted full three-body problem. Zbl 1521.70015
Nazari, Morad; Canales, David; McCann, Brennan; Butcher, Eric; Howell, Kathleen
1
2023
Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter. Zbl 1511.70007
Abad, A.; Arribas, M.; Palacios, M.; Elipe, A.
1
2023
Non-integrability of the planar elliptic restricted three-body problem. Zbl 1519.70011
Przybylska, Maria; Maciejewski, Andrzej J.
1
2023
Invariant manifolds near \(L_1\) and \(L_2\) in the quasi-bicircular problem. Zbl 07693065
Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc
1
2023
How many Keplerian arcs are there between two points of spacetime? Zbl 07693068
Albouy, Alain; Ureña, Antonio J.
1
2023
Existence proof of librational invariant tori in an averaged model of HD60532 planetary system. Zbl 07693074
Danesi, Veronica; Locatelli, Ugo; Sansottera, Marco
1
2023
Secular orbital dynamics of the innermost exoplanet of the \(\upsilon\)-Andromedæ system. Zbl 1527.70013
Mastroianni, Rita; Locatelli, Ugo
1
2023
Natural dynamical reduction of the three-body problem. Zbl 1523.70015
Kol, Barak
1
2023
Detection of separatrices and chaotic seas based on orbit amplitudes. Zbl 1516.70014
Daquin, Jérôme; Charalambous, Carolina
1
2023
Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. Zbl 1486.70053
Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael
5
2022
Closed-form perturbation theory in the restricted three-body problem without relegation. Zbl 1490.70031
Cavallari, Irene; Efthymiopoulos, Christos
4
2022
Proper elements for space debris. Zbl 1490.70040
Celletti, Alessandra; Pucacco, Giuseppe; Vartolomei, Tudor
3
2022
A deep dive into the \(2g+h\) resonance: separatrices, manifolds and phase space structure of navigation satellites. Zbl 1482.70024
Daquin, Jérôme; Legnaro, Edoardo; Gkolias, Ioannis; Efthymiopoulos, Christos
3
2022
Nonsingular vectorial reformulation of the short-period corrections in Kozai’s oblateness solution. Zbl 1490.70056
Izzo, Paolo; Dell’Elce, Lamberto; Gurfil, Pini; Rosengren, Aaron J.
2
2022
Physics-informed neural networks for gravity field modeling of the Earth and Moon. Zbl 1490.70057
Martin, John; Schaub, Hanspeter
1
2022
Spatial equilateral chain central configurations of the five-body problem with a homogeneous potential. Zbl 1490.70036
Deng, Yiyang; Hampton, Marshall
1
2022
Impact of a Moon on the evolution of a planet’s rotation axis: a non-resonant case. Zbl 1490.70059
Podvigina, O. M.; Krasilnikov, P. S.
1
2022
Proper elements for resonant planet-crossing asteroids. Zbl 1490.70037
Fenucci, M.; Gronchi, G. F.; Saillenfest, M.
1
2022
Physics-informed neural networks for gravity field modeling of small bodies. Zbl 1505.68038
Martin, John; Schaub, Hanspeter
1
2022
Analytical solution of orthogonal similar oblate spheroidal coordinate system. Zbl 1504.70020
Strunz, Pavel
1
2022
The phase space structure of retrograde mean motion resonances with Neptune: the 4/5, 7/9, 5/8 and 8/13 cases. Zbl 1504.70012
Kotoulas, Thomas; Morais, Maria Helena Moreira; Voyatzis, George
1
2022
Regularized phase-space volume for the three-body problem. Zbl 1504.70011
Dandekar, Yogesh; Kol, Barak; Lederer, Lior; Mazumdar, Subhajit
1
2022
Machine learning applied to asteroid dynamics. Zbl 07592111
Carruba, V.; Aljbaae, S.; Domingos, R. C.; Huaman, M.; Barletta, W.
1
2022
Generating function of the inertial integrals for small celestial bodies. Zbl 1502.70030
Burov, Alexander A.; Nikonova, Ekaterina A.
1
2022
Stable sets mapping with Taylor differential algebra with application to ballistic capture orbits around Mars. Zbl 1498.70003
Caleb, T.; Merisio, G.; Lizia, P. Di; Topputo, F.
1
2022
Uncertainty maps for motion around binary asteroids. Zbl 1502.70032
Fodde, Iosto; Feng, Jinglang; Vasile, Massimiliano
1
2022
Revisiting Earth tide parameters used in the development of planetary and lunar ephemeris. Zbl 1514.70013
Tian, Wei
1
2022
Melnikov method for non-conservative perturbations of the restricted three-body problem. Zbl 1490.70033
Gidea, Marian; de la Llave, Rafael; Musser, Maxwell
1
2022
On the symmetric central configurations for the planar \(1+5\)-body problem with small arbitrary masses. Zbl 1511.70012
Su, Xia; Deng, Chunhua
1
2022
Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem. Zbl 1472.70032
Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc
5
2021
A flow-informed strategy for ballistic capture orbit generation. Zbl 1482.70026
Manzi, M.; Topputo, F.
4
2021
Flux-based statistical prediction of three-body outcomes. Zbl 1466.70013
Kol, Barak
3
2021
Transfers from the Earth to \(L_2\) halo orbits in the Earth-Moon bicircular problem. Zbl 1482.70010
Rosales, José J.; Jorba, Àngel; Jorba-Cuscó, Marc
3
2021
An integrable model for first-order three-planet mean motion resonances. Zbl 1490.70043
Petit, Antoine C.
2
2021
On a set of \(J_2\) equinoctial orbital elements and their use for uncertainty propagation. Zbl 1466.70027
Aristoff, Jeffrey M.; Horwood, Joshua T.; Alfriend, Kyle T.
2
2021
Normal forms for the Laplace resonance. Zbl 1468.70015
Pucacco, Giuseppe
2
2021
Identification of asteroid groups in the \(z_1\) and \(z_2\) nonlinear secular resonances through genetic algorithms. Zbl 1472.70033
Carruba, V.; Aljbaae, S.; Domingos, R. C.
2
2021
An analytical model for tidal evolution in co-orbital systems. I: Application to exoplanets. Zbl 1490.70053
Couturier, Jérémy; Robutel, Philippe; Correia, Alexandre C. M.
1
2021
Triple collision orbits in the free-fall three-body system without binary collisions. Zbl 1490.70046
Li, Xiaoming; Li, Xiaochen; He, Linghui; Liao, Shijun
1
2021
Brouwer’s satellite solution redux. Zbl 1495.70006
Lara, Martin
1
2021
The current orbit of Methone (S/2004 S 1). Zbl 1490.70039
Callegari, Nelson Jun.; Rodríguez, Adrián; Ceccatto, Demétrio Tadeu
1
2021
Periodic solutions of a generalized Sitnikov problem. Zbl 1466.70012
Beltritti, Gastón
1
2021
Shannon entropy diffusion estimates: sensitivity on the parameters of the method. Zbl 1466.70023
Cincotta, Pablo M.; Giordano, Claudia M.; Silva, Raphael Alves; Beaugé, Cristián
1
2021
Extended analytical formulae for the perturbed Keplerian motion under low-thrust acceleration and orbital perturbations. Zbl 1466.70040
Di Carlo, Marilena; da Graça Marto, Simão; Vasile, Massimiliano
1
2021
Long-term evolution of orbital inclination due to third-body inclination. Zbl 1466.70035
Nie, Tao; Gurfil, Pini
1
2021
Elliptical shape-based model for multi-revolution planeto-centric mission scenarios. Zbl 1466.70038
Prinetto, Jacopo; Lavagna, Michelle
1
2021
The planar two-body problem for spheroids and disks. Zbl 1472.70021
Wold, Margrethe; Conway, John T.
1
2021
The orbital evolution of resonant chains of exoplanets incorporating circularisation produced by tidal interaction with the central star with application to the HD 158259 and EPIC 245950175 systems. Zbl 1472.70051
Papaloizou, J. C. B.
1
2021
Applying data mining techniques to higher-dimensional Poincaré maps in the circular restricted three-body problem. Zbl 1482.70009
Bonasera, Stefano; Bosanac, Natasha
1
2021
Numerical confirmation of the existence of triple collision orbits inside the domain of the free-fall three-body problem. Zbl 1482.70017
Tanikawa, Kiyotaka; Mikkola, Seppo
1
2021
The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem. Zbl 1486.70055
Llibre, Jaume; Paşca, Daniel; Valls, Claudià
1
2021
Numerical integration in celestial mechanics: a case for contact geometry. Zbl 1443.65027
Bravetti, Alessandro; Seri, Marcello; Vermeeren, Mats; Zadra, Federico
11
2020
The vicinity of the Earth-Moon \(L_1\) point in the bicircular problem. Zbl 1443.70040
Jorba, Àngel; Jorba-Cuscó, Marc; Rosales, José J.
7
2020
Cassini states of a rigid body with a liquid core. Zbl 1448.70009
Boué, Gwenaël
4
2020
Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune. Zbl 1448.70040
Kotoulas, T.; Voyatzis, G.
4
2020
Near rectilinear halo orbits and nearby higher-period dynamical structures: orbital stability and resonance properties. Zbl 1448.70085
Zimovan-Spreen, Emily M.; Howell, Kathleen C.; Davis, Diane C.
4
2020
Pfaffians and the inverse problem for collinear central configurations. Zbl 1448.70027
Ferrario, Davide L.
3
2020
Analysis of regular precession conditions for asymmetrical liquid-filled rigid bodies. Zbl 1470.70008
Ol’shanskii, V. Yu.
3
2020
Uniform formulation for orbit computation: the intermediate elements. Zbl 1448.70063
Baù, Giulio; Roa, Javier
2
2020
A dissipative Kepler problem with a family of singular drags. Zbl 1443.70039
Margheri, Alessandro; Misquero, Mauricio
2
2020
Use of the semilinear method to predict the impact corridor on ground. Zbl 1448.70035
Dimare, Linda; Del Vigna, Alessio; Bracali Cioci, Davide; Bernardi, Fabrizio
2
2020
The geometry of isochrone orbits: from Archimedes’ parabolae to Kepler’s third law. Zbl 1443.70053
Ramond, Paul; Perez, Jérôme
2
2020
Evolution of orbits about comets with arbitrary comae. Zbl 1448.70070
Moretto, Mark; McMahon, Jay
2
2020
Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families. Zbl 1448.70054
Murray, Maxime; Mireles James, J. D.
2
2020
Secular resonance sweeping and orbital excitation in decaying disks. Zbl 1448.70079
Toliou, Athanasia; Tsiganis, Kleomenis; Tsirvoulis, Georgios
2
2020
The manifold of variations: hazard assessment of short-term impactors. Zbl 1470.70033
Del Vigna, Alessio
2
2020
Central configurations in the spatial \(n\)-body problem for \(n=5,6\) with equal masses. Zbl 1470.70018
Moczurad, Małgorzata; Zgliczyński, Piotr
2
2020
On the nodal distance between two Keplerian trajectories with a common focus. Zbl 1443.70052
Gronchi, Giovanni Federico; Niederman, Laurent
1
2020
Observing Mercury by a quasi-propellantless mission. Zbl 1448.70064
Carbone, Andrea; Cinelli, Marco; Circi, Christian; Ortore, Emiliano
1
2020
Three-dimensional structure of mean motion resonances beyond Neptune. Zbl 1448.70053
Gallardo, Tabaré
1
2020
Long-term orbital dynamics of trans-Neptunian objects. Zbl 1448.70076
Saillenfest, Melaine
1
2020
Probabilistic data association: the orbit set. Zbl 1448.70074
Pirovano, Laura; Santeramo, Daniele A.; Armellin, Roberto; Di Lizia, Pierluigi; Wittig, Alexander
1
2020
Analytical shape uncertainties in the polyhedron gravity model. Zbl 1451.70030
Bercovici, Benjamin; Panicucci, Paolo; McMahon, Jay
1
2020
Periodic orbits of the two fixed centers problem with a variational gravitational field. Zbl 1448.70019
Gao, Fabao; Llibre, Jaume
1
2020
Orbit determination for standard-like maps: asymptotic expansion of the confidence region in regular zones. Zbl 1448.70068
Marò, Stefano
1
2020
An analytically treatable model of long-term dynamics in a mean motion resonance with coexisting resonant modes. Zbl 1448.70018
Efimov, Sergey S.; Sidorenko, Vladislav V.
1
2020
Transfers from distant retrograde orbits to low lunar orbits. Zbl 1448.70084
Zhang, Ruikang; Wang, Yue; Zhang, Hao; Zhang, Chen
1
2020
Disassociation energies for the finite-density \(N\)-body problem. Zbl 1448.70031
Scheeres, D. J.
1
2020
Order-chaos-order and invariant manifolds in the bounded planar Earth-Moon system. Zbl 1470.70016
de Oliveira, Vitor M.; Sousa-Silva, Priscilla A.; Caldas, Iberê L.
1
2020
Dynamical taxonomy of the coupled solar radiation pressure and oblateness problem and analytical deorbiting configurations. Zbl 1470.70021
Gkolias, Ioannis; Alessi, Elisa Maria; Colombo, Camilla
1
2020
The effect of zonal harmonics on dynamical structures in the circular restricted three-body problem near the secondary body. Zbl 1470.70015
Bury, Luke; McMahon, Jay
1
2020
The precession and nutations of a rigid Mars. Zbl 1470.70006
Baland, Rose-Marie; Yseboodt, Marie; Le Maistre, Sébastien; Rivoldini, Attilio; Van Hoolst, Tim; Dehant, Véronique
1
2020
Central configurations in planar \(n\)-body problem with equal masses for \(n=5,6,7\). Zbl 1451.70024
Moczurad, Małgorzata; Zgliczyński, Piotr
10
2019
Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence. Zbl 1448.70024
Burgos-García, Jaime; Lessard, Jean-Philippe; James, J. D. Mireles
9
2019
A family of periodic orbits in the three-dimensional lunar problem. Zbl 1448.70032
Belbruno, Edward; Frauenfelder, Urs; van Koert, Otto
7
2019
Classifying four-body convex central configurations. Zbl 1451.70022
Corbera, Montserrat; Cors, Josep M.; Roberts, Gareth E.
7
2019
Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set. Zbl 1451.70033
Kepley, Shane; Mireles James, J. D.
6
2019
A computer-assisted proof of symbolic dynamics in Hyperion’s rotation. Zbl 1451.70032
Gierzkiewicz, Anna; Zgliczyński, Piotr
5
2019
Structure of the centre manifold of the \(L_1\), \(L_2\) collinear libration points in the restricted three-body problem. Zbl 1451.70021
Pucacco, Giuseppe
5
2019
Symmetric periodic orbits in the Moulton-Copenhagen problem. Zbl 1451.70026
Palacios, Manuel; Arribas, Mercedes; Abad, Alberto; Elipe, Antonio
4
2019
A first integral to the partially averaged Newtonian potential of the three-body problem. Zbl 1448.70022
Pinzari, Gabriella
4
2019
Semi-analytical model for third-body perturbations including the inclination and eccentricity of the perturbing body. Zbl 1451.70019
Nie, Tao; Gurfil, Pini; Zhang, Shijie
4
2019
Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance. Zbl 1451.70054
Sansottera, Marco; Libert, Anne-Sophie
4
2019
Lambert’s theorem: geometry or dynamics? Zbl 1451.70008
Albouy, Alain
4
2019
New cases of regular precession of an asymmetric liquid-filled rigid body. Zbl 1451.70005
Ol’Shanskii, V. Yu.
4
2019
Low-energy transfers to the Moon with long transfer time. Zbl 1448.70072
Oshima, Kenta; Topputo, Francesco; Yanao, Tomohiro
3
2019
Towards a sustainable exploitation of the geosynchronous orbital region. Zbl 1451.70042
Gkolias, Ioannis; Colombo, Camilla
3
2019
Planar \(N\)-body central configurations with a homogeneous potential. Zbl 1451.70023
Hampton, Marshall
3
2019
Non-averaged regularized formulations as an alternative to semi-analytical orbit propagation methods. Zbl 1451.70037
Amato, Davide; Bombardelli, Claudio; Baù, Giulio; Morand, Vincent; Rosengren, Aaron J.
3
2019
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Cited by 3,163 Authors

65 Llibre, Jaume
51 Vidal, Claudio
43 Celletti, Alessandra
34 Pérez-Chavela, Ernesto
33 Guzzo, Massimiliano
31 Elipe, Antonio
30 Scheeres, Daniel J.
29 Palacián, Jesús F.
25 Lega, Elena
25 Zotos, Euaggelos E.
23 Efthymiopoulos, Christos
23 Maciejewski, Andrzej J.
22 Lara, Martín
22 Pucacco, Giuseppe
22 Zhang, Shiqing
21 Diacu, Florin Nicolae
21 Simó, Carles
21 Yan, Duokui
20 Froeschlé, Claude
20 Fukushima, Toshio
20 Singh, Jagadish
19 Ferrer, Sebastián
19 Morbidelli, Alessandro
19 Topputo, Francesco
19 Xie, Zhifu
19 Yanguas, Patricia
18 Gurfil, Pini
18 Jorba, Àngel
18 Papadakis, Konstantinos E.
18 Przybylska, Maria
18 Xu, Shijie
17 Armellin, Roberto
17 Cors, Josep Maria
17 Gómez, Gerard
17 Gronchi, Giovanni-Federico
17 Kalvouridis, Tilemahos J.
17 Xu, Ming
16 Alvarez-Ramírez, Martha
16 Blanes, Sergio
16 Burov, Aleksandr Anatol’evich
16 Fernandes, Antonio Carlos
16 Masdemont, Josep J.
16 Mello, Luis Fernando O.
16 Ouyang, Tiancheng
16 Pinzari, Gabriella
16 Sansottera, Marco
16 Vera, Juan A.
15 Baoyin, Hexi
15 Cincotta, Pablo M.
15 Lhotka, Christoph
15 Locatelli, Ugo
15 Vilhena de Moraes, Rodolpho
15 Voyatzis, George
14 Contopoulos, George
14 Corbera, Montserrat
14 García Guirao, Juan Luis
14 Hadjidemetriou, John D.
14 Kholshevnikov, Konstantin Vladislavovich
14 Li, Junfeng
14 Mireles-James, Jason D.
14 Perdios, Efstathios A.
14 Russell, Ryan P.
14 Valls Anglés, Cláudia
13 Borisov, Alekseĭ Vladimirovich
13 Iorio, Lorenzo
13 Lanchares, Víctor
13 Lemaitre, Anne
13 Leok, Melvin
13 Stoica, Cristina
13 Terracini, Susanna
12 Abouelmagd, Elbaz I.
12 Albouy, Alain
12 Dvorak, Rudolf
12 Giordano, Claudia M.
12 Laskar, Jacques
12 Mamaev, Ivan Sergeevich
12 Meiss, James D.
12 Prado, Antônio Fernando Bertachini de Almeida
12 Santoprete, Manuele
12 Sidorenko, Vladislav V.
12 Valsecchi, Giovanni Battista
12 Zhao, Lei
11 Barrio, Roberto
11 Breiter, Sławomir
11 Chierchia, Luigi
11 Circi, Christian
11 Da Silva Fernandes, Sandro
11 de la Llave, Rafael
11 Gidea, Marian
11 Hampton, Marshall
11 Marchesiello, Antonella
11 Mikkola, Seppo
11 San-Juan, Juan Félix
11 Tsiganis, Kleomenis
10 Aggarwal, Rajiv
10 Alessi, Elisa Maria
10 Bardin, Boris Sabirovich
10 Baù, Giulio
10 Beaugé, Cristián
10 Bernelli-Zazzera, Franco
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Cited in 322 Journals

1,035 Celestial Mechanics and Dynamical Astronomy
90 Physica D
88 Communications in Nonlinear Science and Numerical Simulation
84 Regular and Chaotic Dynamics
80 Journal of Mathematical Physics
73 Astrophysics and Space Science
68 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
52 Journal of Differential Equations
50 Chaos
45 Nonlinear Dynamics
41 Applied Mathematics and Computation
41 Qualitative Theory of Dynamical Systems
40 Journal of Nonlinear Science
36 Journal of Dynamics and Differential Equations
35 Journal of Computational and Applied Mathematics
35 Mathematical Problems in Engineering
35 SIAM Journal on Applied Dynamical Systems
34 Chaos, Solitons and Fractals
31 Archive for Rational Mechanics and Analysis
30 Journal of Mathematical Analysis and Applications
28 Nonlinearity
27 Journal of Geometry and Physics
26 General Relativity and Gravitation
26 Computational and Applied Mathematics
20 Journal of Physics A: Mathematical and Theoretical
17 Earth, Moon, and Planets
17 Discrete and Continuous Dynamical Systems
16 Journal of Computational Physics
16 Russian Journal of Nonlinear Dynamics
15 Physics Letters. A
15 Meccanica
15 Discrete and Continuous Dynamical Systems. Series B
15 Applications and Applied Mathematics
14 International Journal of Modern Physics D
14 Acta Mechanica Sinica
13 Journal of Optimization Theory and Applications
13 Mechanics of Solids
12 Nonlinear Analysis. Real World Applications
11 Communications in Mathematical Physics
11 Journal of Applied Mathematics and Mechanics
11 Prikladnaya Matematika i Mekhanika
11 Applied Numerical Mathematics
10 Transactions of the American Mathematical Society
10 Acta Applicandae Mathematicae
10 Vestnik St. Petersburg University. Mathematics
9 Classical and Quantum Gravity
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Proceedings of the American Mathematical Society
9 Numerical Algorithms
9 Journal of Nonlinear Mathematical Physics
9 Dynamical Systems
9 Journal of Computational Dynamics
9 Applied Mathematics and Nonlinear Sciences
8 Acta Mechanica
8 International Journal of Theoretical Physics
8 Journal of Fluid Mechanics
8 Applied Mathematics Letters
8 International Journal of Computer Mathematics
8 Abstract and Applied Analysis
8 Discrete and Continuous Dynamical Systems. Series S
8 Journal of Geometric Mechanics
7 Computers & Mathematics with Applications
7 Computer Physics Communications
7 Advances in Mathematics
7 International Journal for Numerical Methods in Engineering
7 Acta Mathematica Sinica. English Series
7 Journal of Applied Mathematics
6 Journal of the Franklin Institute
6 Applied Mathematics and Mechanics. (English Edition)
6 Differential Equations and Dynamical Systems
6 Journal of Dynamical Systems and Geometric Theories
6 Nelineĭnaya Dinamika
6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Computer Methods in Applied Mechanics and Engineering
5 Mathematical Methods in the Applied Sciences
5 Theoretical and Mathematical Physics
5 Mathematics of Computation
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 BIT
5 Mathematics and Computers in Simulation
5 Numerische Mathematik
5 Ergodic Theory and Dynamical Systems
5 Journal of Symbolic Computation
5 Journal of Computer and Systems Sciences International
5 Journal of Mathematical Sciences (New York)
5 Russian Physics Journal
5 International Journal of Modern Physics C
5 Advances in Mathematical Physics
5 Mathematics in Engineering
4 Astronomische Nachrichten
4 European Journal of Physics
4 Journal of Statistical Physics
4 Physica A
4 The Mathematical Intelligencer
4 Automatica
4 Inventiones Mathematicae
4 Systems & Control Letters
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Indagationes Mathematicae. New Series
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Cited in 57 Fields

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62 Calculus of variations and optimal control; optimization (49-XX)
62 Differential geometry (53-XX)
58 Systems theory; control (93-XX)
52 Optics, electromagnetic theory (78-XX)
42 Mechanics of deformable solids (74-XX)
37 Special functions (33-XX)
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33 Statistical mechanics, structure of matter (82-XX)
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