Lin, Mingpei; Luo, Tong; Chiba, Hayato Semi-analytical computation of bifurcation of orbits near collinear libration point in the restricted three-body problem. (English) Zbl 07955364 Physica D 470, Part A, Article ID 134404, 14 p. (2024). MSC: 70F07 70K50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duarte, Gladston; Jorba, Àngel Invariant manifolds near \(L_1\) and \(L_2\) in the Sun-Jupiter elliptic restricted three-body problem. II: The dynamics of comet Oterma. (English) Zbl 07949681 Celest. Mech. Dyn. Astron. 136, No. 6, Paper No. 49, 20 p. (2024). MSC: 70F07 70F15 × Cite Format Result Cite Review PDF Full Text: DOI
Canales, David; Howell, Kathleen Understanding flow around planetary moons via finite-time Lyapunov exponent maps. (English) Zbl 07949672 Celest. Mech. Dyn. Astron. 136, No. 5, Paper No. 40, 28 p. (2024). MSC: 70F07 70G60 × Cite Format Result Cite Review PDF Full Text: DOI
Berezina, A. A. Orbital precession in the restricted three-body problem: exact representations. (English. Russian original) Zbl 07944443 Vestn. St. Petersbg. Univ., Math. 57, No. 1, 130-139 (2024); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 11(69), No. 1, 185-197 (2024). MSC: 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Lucas, J. de; Maskalaniec, A.; Zawora, B. M. Cosymplectic geometry, reductions, and energy-momentum methods with applications. (English) Zbl 07938338 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 64, 58 p. (2024). MSC: 37J65 37J12 37J39 53D05 53D20 70G45 70F05 70F07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Perdomo, Oscar Reconstructing Euler’s work on collinear solutions of the 3-body problem and identifying their corresponding Lagrange points. (English) Zbl 07893207 Physica D 467, Article ID 134280, 9 p. (2024). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F10 70F15 70F20 70G60 × Cite Format Result Cite Review PDF Full Text: DOI
Duarte, Gladston; Jorba, Àngel Invariant manifolds near \(L_1\) and \(L_2\) in the Sun-Jupiter elliptic restricted three-body problem. I. (English) Zbl 07881856 Celest. Mech. Dyn. Astron. 136, No. 4, Paper No. 26, 18 p. (2024). MSC: 70F10 70F15 × Cite Format Result Cite Review PDF Full Text: DOI
Gimeno, Joan; Jorba, Àngel; Jorba-Cuscó, Marc; Nicolás, Begoña On the effect of the Sun on Kordylewski clouds. (English) Zbl 07881853 Celest. Mech. Dyn. Astron. 136, No. 3, Paper No. 23, 28 p. (2024). MSC: 70F15 70F07 78A40 × Cite Format Result Cite Review PDF Full Text: DOI
Kapolka, Tyler J.; Bettinger, Robert A.; Hicks, Kerry D. Identification of structures within higher dimension Poincaré maps relating to quasi-periodic transforming orbits. (English) Zbl 07881848 Celest. Mech. Dyn. Astron. 136, No. 3, Paper No. 18, 26 p. (2024). Reviewer: Predrag Punosevac (Pittsburgh) MSC: 70F15 70F10 × Cite Format Result Cite Review PDF Full Text: DOI
Barandiaran, Mikel Martin; Kuroyanagi, Sachiko; Nesseris, Savvas Gravitational waves in the circular restricted three body problem. (English) Zbl 1544.83018 Classical Quantum Gravity 41, No. 9, Article ID 095002, 22 p. (2024). MSC: 83C35 83C57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boscaggin, Alberto; Dambrosio, Walter; Feltrin, Guglielmo Periodic perturbations of central force problems and an application to a restricted 3-body problem. (English. French summary) Zbl 07860061 J. Math. Pures Appl. (9) 186, 31-73 (2024). MSC: 70F07 70H12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Seongchan Transverse foliations in the rotating Kepler problem. (English) Zbl 1536.70011 J. Fixed Point Theory Appl. 26, No. 1, Paper No. 4, 43 p. (2024). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70K44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anderson, Annika; McCann, Brennan; Canales, David; Nazari, Morad Utilizing the geometric mechanics framework to predict attitude in a full ephemeris model of the Cislunar region. (English) Zbl 1533.70011 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107726, 24 p. (2024). MSC: 70F15 70F07 70M20 × Cite Format Result Cite Review PDF Full Text: DOI
Rodnikov, Alexander V. Keeping a solar sail near the triangular libration point of a dumbbell-shaped or binary asteroid. (English) Zbl 1541.70027 Russ. J. Nonlinear Dyn. 19, No. 4, 521-532 (2023). MSC: 70M20 70F15 70F07 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Pal, Krishan Synchronization of the restricted charged three-body problem. (English) Zbl 07814862 Nonlinear Dyn. Syst. Theory 23, No. 4, 410-421 (2023). MSC: 34H10 93C15 93C95 34D06 70F10 × Cite Format Result Cite Review PDF Full Text: Link
Shalby, Lina A.; Ali, Noha A. The behavior of a satellite trajectory near the equilibrium points of Sun-Earth system and its control. (English) Zbl 07807021 Theor. Appl. Mech. (Belgrade) 50, No. 1, 25-38 (2023). MSC: 70F07 49S05 70M20 70H14 × Cite Format Result Cite Review PDF Full Text: DOI
Chelnokov, Yu. N. Quaternion methods and regular models of celestial mechanics and space flight mechanics: local regularization of the singularities of the equations of the perturbed spatial restricted three-body problem generated by gravitational forces. (English. Russian original) Zbl 1533.70001 Mech. Solids 58, No. 5, 1458-1482 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 5, 27-57 (2023). MSC: 70-08 70M20 70F07 70F16 15B33 × Cite Format Result Cite Review PDF Full Text: DOI
Fantino, E.; Burhani, B. M.; Flores, R.; Alessi, E. M.; Solano, F.; Sanjurjo-Rivo, M. End-to-end trajectory concept for close exploration of Saturn’s inner large moons. (English) Zbl 1541.70026 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107458, 21 p. (2023). MSC: 70M20 70F15 70K44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guzzo, Massimiliano; Lega, Elena Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics. (English) Zbl 1543.70007 Celest. Mech. Dyn. Astron. 135, No. 4, Paper No. 37, 36 p. (2023). MSC: 70F15 70F16 70F07 70K55 85A30 × Cite Format Result Cite Review PDF Full Text: DOI
Bucchioni, Giordana; Gemignani, Gabriele; Lombardi, Francesco; Bellome, Andrea; Leitão, João Pedro Fernandes; Lizy-Destrez, Stèphanie; Innocenti, Mario Optimal time-fixed impulsive non-Keplerian orbit to orbit transfer algorithm based on primer vector theory. (English) Zbl 1520.70024 Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107307, 19 p. (2023). MSC: 70M20 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Cieliebak, Kai; Frauenfelder, Urs; Zhao, Lei \(J^+\)-invariants for planar two-center Stark-Zeeman systems. (English) Zbl 1527.70010 Ergodic Theory Dyn. Syst. 43, No. 7, 2258-2292 (2023). Reviewer: Lennard Bakker (Provo) MSC: 70F07 70F16 70G40 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Quinci, Alessio; Merisio, Gianmario; Topputo, Francesco Qualitative study of ballistic capture at Mars via Lagrangian descriptors. (English) Zbl 1524.70072 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107285, 8 p. (2023). MSC: 70M20 37N05 70F07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shenavar, Hossein Three-body problem in modified dynamics. (English) Zbl 1518.70013 Celest. Mech. Dyn. Astron. 135, No. 2, Paper No. 19, 53 p. (2023). MSC: 70F07 70-08 85-10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chelnokov, Yu. N. Quaternion methods and regular models of celestial and space flight mechanic: using Euler (Rodrigues-Hamilton) parameters to describe orbital (trajectory) motion. II: Perturbed spatial restricted three-body problem. (English. Russian original) Zbl 1524.70026 Mech. Solids 58, No. 1, 1-25 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 1, 3-32 (2023). MSC: 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Abad, A.; Arribas, M.; Palacios, M.; Elipe, A. Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter. (English) Zbl 1511.70007 Celest. Mech. Dyn. Astron. 135, No. 2, Paper No. 7, 23 p. (2023). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F15 70K42 × Cite Format Result Cite Review PDF Full Text: DOI
Vasile, Massimiliano; Manzi, Matteo Polynomial stochastic dynamical indicators. (English) Zbl 1509.70019 Celest. Mech. Dyn. Astron. 135, No. 1, Paper No. 4, 35 p. (2023). MSC: 70G60 70L10 70F07 37N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cavallari, Irene; Grassi, Clara; Gronchi, Giovanni F.; Baù, Giulio; Valsecchi, Giovanni B. A dynamical definition of the sphere of influence of the Earth. (English) Zbl 1509.70013 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107091, 26 p. (2023). MSC: 70F15 70F07 70-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
M-Seara, T.; Ollé, M.; Rodríguez, Ó.; Soler, J. Generalized analytical results on \(n\)-ejection-collision orbits in the RTBP. Analysis of bifurcations. (English) Zbl 1506.70013 J. Nonlinear Sci. 33, No. 1, Paper No. 17, 53 p. (2023). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F16 70F15 70K50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moreno, Agustin; van Koert, Otto A generalized Poincaré-Birkhoff theorem. (English) Zbl 07910433 Hofer, Helmut (ed.) et al., Symplectic geometry. A festschrift in honour of Claude Viterbo’s 60th birthday. In 2 volumes. Cham: Birkhäuser. 981-1024 (2022). MSC: 53D40 53D22 37J11 37J39 37E40 70F07 57R17 × Cite Format Result Cite Review PDF Full Text: DOI
Amin, Mohamed R. The effect of solar radiation pressure and planet oblateness on the location and stability of Lagrangian points in solar system planets. (English) Zbl 1516.70011 Fractals 30, No. 10, Article ID 2240248, 10 p. (2022). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F15 70H14 × Cite Format Result Cite Review PDF Full Text: DOI
Kaur, Bhavneet; Kumar, Sumit; Aggarwal, Rajiv Effects of viscosity, oblateness, and finite straight segment on the stability of the equilibrium points in the RR3BP. (English) Zbl 1524.70027 Appl. Appl. Math. 17, No. 1, 81-98 (2022). MSC: 70F07 70F15 × Cite Format Result Cite Review PDF Full Text: Link
Kotoulas, Thomas; Morais, Maria Helena Moreira; Voyatzis, George The phase space structure of retrograde mean motion resonances with Neptune: the 4/5, 7/9, 5/8 and 8/13 cases. (English) Zbl 1504.70012 Celest. Mech. Dyn. Astron. 134, No. 6, Paper No. 52, 25 p. (2022). MSC: 70F07 70K30 70K42 × Cite Format Result Cite Review PDF Full Text: DOI
Frauenfelder, Urs; van Koert, Otto; Zhao, Lei On the problem of convexity for the restricted three-body problem around the heavy primary. (English) Zbl 1503.70008 Hokkaido Math. J. 51, No. 2, 287-317 (2022). Reviewer: Miguel Paternain (Montevideo) MSC: 70F05 70F07 53D05 53D10 × Cite Format Result Cite Review PDF Full Text: DOI
Proshkin, V. A.; Chura, A. S. Pulsed control of a dangerous asteroid in the domain of \(1:1\) resonance. (English. Russian original) Zbl 1500.70017 Mosc. Univ. Mech. Bull. 77, No. 2, 53-59 (2022); translation from Vestn. Mosk. Univ., Ser. I 77, No. 2, 52-58 (2022). MSC: 70M20 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Carvalho, Jean P. S.; Yokoyama, Tadashi; Mourão, Daniela C. Single-averaged model for analysis of frozen orbits around planets and moons. (English) Zbl 1505.70053 Celest. Mech. Dyn. Astron. 134, No. 4, Paper No. 35, 30 p. (2022). MSC: 70M20 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Miranda, Eva; Oms, Cédric; Peralta-Salas, Daniel On the singular Weinstein conjecture and the existence of escape orbits for \(b\)-Beltrami fields. (English) Zbl 1506.37079 Commun. Contemp. Math. 24, No. 7, Article ID 2150076, 25 p. (2022). MSC: 37J39 53D10 37J46 70F07 70H12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bannikova, Elena; Capaccioli, Massimo Foundations of celestial mechanics. (English) Zbl 1525.70001 Graduate Texts in Physics. Cham: Springer (ISBN 978-3-031-04575-2/hbk; 978-3-031-04578-3/pbk; 978-3-031-04576-9/ebook). xx, 392 p. (2022). Reviewer: Martha Alvarez-Ramírez (Ciudad de México) MSC: 70-01 70F15 70F05 70F07 70F10 × Cite Format Result Cite Review PDF Full Text: DOI
Moreno, Agustin; van Koert, Otto Global hypersurfaces of section in the spatial restricted three-body problem. (English) Zbl 1502.37066 Nonlinearity 35, No. 6, 2920-2970 (2022). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 37J55 37J35 53D10 53D35 70F07 70G45 70F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elliott, Ian; Bosanac, Natasha Describing relative motion near periodic orbits via local toroidal coordinates. (English) Zbl 1490.70032 Celest. Mech. Dyn. Astron. 134, No. 2, Paper No. 19, 33 p. (2022). MSC: 70F07 70K43 × Cite Format Result Cite Review PDF Full Text: DOI
Cavallari, Irene; Efthymiopoulos, Christos Closed-form perturbation theory in the restricted three-body problem without relegation. (English) Zbl 1490.70031 Celest. Mech. Dyn. Astron. 134, No. 2, Paper No. 16, 36 p. (2022). MSC: 70F07 70K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pérez-Rothen, Yocelyn; Valeriano, Lucas Rezende; Vidal, Claudio On the parametric stability of the isosceles triangular libration points in the planar elliptical charged restricted three-body problem. (English) Zbl 1484.70013 Regul. Chaotic Dyn. 27, No. 1, 98-121 (2022). MSC: 70F07 34D10 34D20 37N05 × Cite Format Result Cite Review PDF Full Text: DOI
Kajihara, Yuika; Shibayama, Mitsuru Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem. (English) Zbl 1513.70039 Nonlinearity 35, No. 3, 1431-1446 (2022). MSC: 70F07 70G75 37J46 × Cite Format Result Cite Review PDF Full Text: DOI Link
Poddar, Awadhesh Kumar; Sharma, Divyanshi Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body. (English) Zbl 1514.70014 Appl. Math. Nonlinear Sci. 6, No. 1, 429-438 (2021). MSC: 70F15 34C25 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Ansari, Abdullah A.; Meena, K. R.; Shalini, K. Generalized cr3b problem with heterogeneous primary and secondary as finite straight segment. (English) Zbl 1509.70008 Appl. Appl. Math. 16, No. 2, 1120-1129 (2021). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F15 × Cite Format Result Cite Review PDF Full Text: Link
Mittal, Amit; Pal, Krishan; Behera, Pravata Kumar; Mittal, Deepak Stability of the artificial equilibrium points in the low-thrust restricted three-body problem with variable mass. (English) Zbl 1524.70030 Appl. Appl. Math. 16, No. 2, 965-989 (2021). MSC: 70F07 70F15 70K42 × Cite Format Result Cite Review PDF Full Text: Link
Bonasera, Stefano; Bosanac, Natasha Applying data mining techniques to higher-dimensional Poincaré maps in the circular restricted three-body problem. (English) Zbl 1482.70009 Celest. Mech. Dyn. Astron. 133, No. 11-12, Paper No. 51, 32 p. (2021). MSC: 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Arredondo, John A.; Jiménez-Cárdenas, Julian About the restricted three-body problem with the Schwarzschild-de Sitter potential. (English) Zbl 1488.70016 Nonlinear Dyn. Syst. Theory 21, No. 2, 126-137 (2021). MSC: 70F15 70F07 × Cite Format Result Cite Review PDF
Markeev, Anatoly P. On the metric stability and the Nekhoroshev estimate of the velocity of Arnold diffusion in a special case of the three-body problem. (English) Zbl 1486.70054 Regul. Chaotic Dyn. 26, No. 4, 321-330 (2021). Reviewer: Martha Alvarez-Ramírez (Ciudad de México) MSC: 70F07 70H05 70H14 × Cite Format Result Cite Review PDF Full Text: DOI
Canales, David; Howell, Kathleen C.; Fantino, Elena Transfer design between neighborhoods of planetary moons in the circular restricted three-body problem: the moon-to-moon analytical transfer method. (English) Zbl 1490.70029 Celest. Mech. Dyn. Astron. 133, No. 8, Paper No. 36, 44 p. (2021). MSC: 70F07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vincent, Aguda Ekele; Perdiou, Angela E. Poynting-Robertson and oblateness effects on the equilibrium points of the perturbed R3BP: application on Cen X-4 binary system. (English) Zbl 1476.70031 Rassias, Themistocles M. (ed.), Nonlinear analysis, differential equations, and applications. Cham: Springer. Springer Optim. Appl. 173, 131-147 (2021). MSC: 70F07 70F15 70M20 70K42 × Cite Format Result Cite Review PDF Full Text: DOI
Colombi, Francesco; Colagrossi, Andrea; Lavagna, Michèle Floquet modes and stability analysis of periodic orbit-attitude solutions along Earth-Moon halo orbits. (English) Zbl 1472.70023 Celest. Mech. Dyn. Astron. 133, No. 7, Paper No. 34, 33 p. (2021). MSC: 70F07 70K20 70M20 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Pan; Hou, Xi-Yun; Liao, Xin-Hao Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem. (English) Zbl 1472.70026 Celest. Mech. Dyn. Astron. 133, No. 7, Paper No. 31, 29 p. (2021). MSC: 70F07 70K28 × Cite Format Result Cite Review PDF Full Text: DOI
Boldizsár, Bálint; Kovács, Tamás; Vanyó, József A new perturbative solution to the motion around triangular Lagrangian points in the elliptic restricted three-body problem. (English) Zbl 1481.70054 Celest. Mech. Dyn. Astron. 133, No. 6, Paper No. 23, 14 p. (2021). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 37N05 70H09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaur, Bhavneet; Chauhan, Shipra; Kumar, Dinesh Outcomes of aspheric primaries in Robe’s circular restricted three-body problem. (English) Zbl 1477.37094 Appl. Appl. Math. 16, No. 1, 463-480 (2021). MSC: 37N05 70F07 70F15 × Cite Format Result Cite Review PDF Full Text: Link
Kholshevnikov, K. V. Is the Jacobi theorem valid in the singly averaged restricted circular three-body problem? (English. Russian original) Zbl 1476.70022 Vestn. St. Petersbg. Univ., Math. 54, No. 1, 106-110 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 1, 179-184 (2021). MSC: 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Belbruno, Edward; Frauenfelder, Urs; van Koert, Otto The Omega limit set of a family of chords. (English) Zbl 1473.37072 J. Topol. Anal. 13, No. 1, 49-73 (2021). MSC: 37J39 37J46 37J25 70F07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jorba-Cuscó, Marc; Epenoy, Richard Low-fuel transfers from Mars to quasi-satellite orbits around phobos exploiting manifolds of tori. (English) Zbl 1466.70041 Celest. Mech. Dyn. Astron. 133, No. 5, Paper No. 20, 22 p. (2021). MSC: 70P05 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Ortega, Rafael; Zhao, Lei Generalized periodic orbits in some restricted three-body problems. (English) Zbl 1498.70015 Z. Angew. Math. Phys. 72, No. 1, Paper No. 40, 12 p. (2021). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F15 70F16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Ming; Qu, Qingyu; Dong, Yunfeng; Zheng, Yaru; Santos, Ramil Capturing a spacecraft around a flyby asteroid using Hamiltonian-structure-preserving control. (English) Zbl 1476.70088 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105500, 10 p. (2021). MSC: 70Q05 70M20 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Villanueva, Yovani; Echeverry, Luz Miriam Heuristic study of the restricted three body problem. (Spanish. English summary) Zbl 07802858 Bol. Mat. (N.S.) 27, No. 1, 15-24 (2020). MSC: 70F07 65L06 70H12 × Cite Format Result Cite Review PDF Full Text: Link
Abozaid, Ahmed A.; Selim, H. H.; Gadallah, Kamel A. K.; Hassan, I. A.; Abouelmagd, Elbaz I. Periodic orbit in the frame work of restricted three bodies under the asteroids belt effect. (English) Zbl 1524.70024 Appl. Math. Nonlinear Sci. 5, No. 2, 157-176 (2020). MSC: 70F07 37N05 70F15 70H09 × Cite Format Result Cite Review PDF Full Text: DOI
Zotos, Euaggelos E.; Chen, Wei; Abouelmagd, Elbaz I.; Han, Huiting Basins of convergence of equilibrium points in the restricted three-body problem with modified gravitational potential. (English) Zbl 1483.70032 Chaos Solitons Fractals 134, Article ID 109704, 8 p. (2020). MSC: 70F07 70F15 37N05 × Cite Format Result Cite Review PDF Full Text: DOI
Suraj, Md Sanam; Aggarwal, Rajiv; Mittal, Amit; Meena, Om Prakash; Asique, Md Chand On the spatial collinear restricted four-body problem with non-spherical primaries. (English) Zbl 1483.70034 Chaos Solitons Fractals 133, Article ID 109609, 16 p. (2020). MSC: 70F10 70F07 70F15 85A05 70K42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anderson, Rodney L.; Easton, Robert W.; Lo, Martin W. Computing libration point isolated invariant sets using isolating blocks. (English) Zbl 1493.70050 Physica D 405, Article ID 132361, 12 p. (2020). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F15 37B35 70H33 × Cite Format Result Cite Review PDF Full Text: DOI
Abouelmagd, Elbaz I.; García Guirao, Juan Luis; Pal, Ashok Kumar Periodic solution of the nonlinear Sitnikov restricted three-body problem. (English) Zbl 1474.70016 New Astron. 75, Article ID 101319, 8 p. (2020). MSC: 70F07 70F15 × Cite Format Result Cite Review PDF Full Text: DOI
Kaur, Bhavneet An extension of the Robe’s problem. (English) Zbl 1476.70020 Shahid, Mohammad Hasan (ed.) et al., Differential geometry, algebra, and analysis. Selected papers based on the presentations at the international conference, ICDGAA 2016, New Delhi, India, November 15–17, 2016. Singapore: Springer. Springer Proc. Math. Stat. 327, 231-244 (2020). MSC: 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Bury, Luke; McMahon, Jay The effect of zonal harmonics on dynamical structures in the circular restricted three-body problem near the secondary body. (English) Zbl 1470.70015 Celest. Mech. Dyn. Astron. 132, No. 9, Paper No. 45, 20 p. (2020). MSC: 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
de Oliveira, Vitor M.; Sousa-Silva, Priscilla A.; Caldas, Iberê L. Order-chaos-order and invariant manifolds in the bounded planar Earth-Moon system. (English) Zbl 1470.70016 Celest. Mech. Dyn. Astron. 132, No. 11-12, Paper No. 51, 17 p. (2020). MSC: 70F07 70F15 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cho, WanKi; Jung, Hyojin; Kim, GeonWoo The contact geometry of the spatial circular restricted 3-body problem. (English) Zbl 1467.53087 Abh. Math. Semin. Univ. Hamb. 90, No. 2, 161-181 (2020). MSC: 53D35 70F07 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Markeev, A. P. Subharmonic oscillations in the near-circular elliptic Sitnikov problem. (English. Russian original) Zbl 1465.70043 Mech. Solids 55, No. 8, 1162-1171 (2020); translation from Prikl. Mat. Mekh. 84, No. 4, 442-454 (2020). MSC: 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Kholshevnikov, K. V.; Titov, V. B. Minimal velocity surface in a restricted circular three-body problem. (English. Russian original) Zbl 1465.70041 Vestn. St. Petersbg. Univ., Math. 53, No. 4, 473-479 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 734-742 (2020); erratum ibid. 54, No. 1, 111 (2021). MSC: 70F07 × Cite Format Result Cite Review PDF
Kaur, Bhavneet; Kumar, Sumit; Chauhan, Shipra; Kumar, Dinesh Stability analysis of circular Robe’s R3BP with finite straight segment and viscosity. (English) Zbl 1476.70021 Appl. Appl. Math. 15, No. 2, 1072-1090 (2020). MSC: 70F07 70F15 × Cite Format Result Cite Review PDF Full Text: Link
Seara, Tere M.; Zhang, Jianlu Oscillatory orbits in the restricted planar four body problem. (English) Zbl 1476.70028 Nonlinearity 33, No. 12, 6985-7015 (2020). MSC: 70F07 70F05 37N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suraj, Md. Sanam; Mittal, Amit; Pal, Krishan Stability of the artificial equilibrium points in the low-thrust restricted three-body problem when the bigger primary is a source of radiation. (English) Zbl 1476.70029 Nonlinear Dyn. Syst. Theory 20, No. 3, 333-344 (2020). MSC: 70F07 70F10 70F15 × Cite Format Result Cite Review PDF
Zhang, Ruikang; Wang, Yue; Zhang, Hao; Zhang, Chen Transfers from distant retrograde orbits to low lunar orbits. (English) Zbl 1448.70084 Celest. Mech. Dyn. Astron. 132, No. 8, Paper No. 41, 29 p. (2020). MSC: 70M20 70F07 70F10 × Cite Format Result Cite Review PDF Full Text: DOI
Zimovan-Spreen, Emily M.; Howell, Kathleen C.; Davis, Diane C. Near rectilinear halo orbits and nearby higher-period dynamical structures: orbital stability and resonance properties. (English) Zbl 1448.70085 Celest. Mech. Dyn. Astron. 132, No. 5, Paper No. 28, 25 p. (2020). MSC: 70M20 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Suleiman, Rukkayat; Umar, Aishetu; Singh, Jagadish Collinear points in the photogravitational ER3BP with zonal harmonics of the secondary. (English) Zbl 1452.85002 Differ. Equ. Dyn. Syst. 28, No. 4, 901-922 (2020). MSC: 85A05 85A25 70F07 70F15 × Cite Format Result Cite Review PDF Full Text: DOI
Suraj, Md. Sanam; Mittal, Amit; Pal, Krishan; Mittal, Deepak Stability of the artificial equilibrium points in the low-thrust restricted three-body problem when the smaller primary is an oblate spheroid. (English) Zbl 1476.70030 Nonlinear Dyn. Syst. Theory 20, No. 4, 439-450 (2020). MSC: 70F07 70F10 70F15 × Cite Format Result Cite Review PDF Full Text: Link
Fantino, Elena; Salazar, Francisco; Alessi, Elisa Maria Design and performance of low-energy orbits for the exploration of Enceladus. (English) Zbl 1476.70048 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105393, 18 p. (2020). MSC: 70F15 70F07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tan, Minghu; Zhang, Ke; Wang, Jingyu Single impulsive transfer to the Earth-Moon triangular point L\(_4\) in a bicircular model. (English) Zbl 1484.70024 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105074, 17 p. (2020). MSC: 70M20 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Kotoulas, T.; Voyatzis, G. Retrograde periodic orbits in 1/2, 2/3 and 3/4 mean motion resonances with Neptune. (English) Zbl 1448.70040 Celest. Mech. Dyn. Astron. 132, No. 6-7, Paper No. 33, 16 p. (2020). MSC: 70F15 70F07 70M20 × Cite Format Result Cite Review PDF Full Text: DOI
Ollé, Mercè; Rodríguez, Óscar; Soler, Jaume Regularisation in ejection-collision orbits of the RTBP. (English) Zbl 1465.70044 Ortegon Gallego, Francisco (ed.) et al., Recent advances in pure and applied mathematics. Based on contributions presented at the Second Joint Meeting Spain-Brazil in Mathematics, Cádiz, Spain, December 11–14, 2018. Cham: Springer. RSME Springer Ser. 4, 35-47 (2020). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F16 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kim, Joontae; Kim, Seongchan \( J^+\)-like invariants of periodic orbits of the second kind in the restricted three-body problem. (English) Zbl 1473.70016 J. Topol. Anal. 12, No. 3, 675-712 (2020). MSC: 70F05 70F07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zotos, Euaggelos E. Orbital analysis in the planar circular Copenhagen problem using polar coordinates. (English) Zbl 1473.70026 Math. Methods Appl. Sci. 43, No. 4, 2020-2031 (2020). MSC: 70F15 70F16 37N05 × Cite Format Result Cite Review PDF Full Text: DOI
Kaur, Bhavneet; Kumar, Dinesh; Chauhan, Shipra A study of small perturbations in the Coriolis and centrifugal forces in RR3BP with finite straight segment. (English) Zbl 1473.70018 Appl. Appl. Math. 15, No. 1, 77-93 (2020). MSC: 70F07 70F15 × Cite Format Result Cite Review PDF Full Text: Link
Liu, Bowen; Zhou, Qinglong Linear stability of elliptic relative equilibria of restricted four-body problem. (English) Zbl 1461.37058 J. Differ. Equations 269, No. 6, 4751-4798 (2020). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 37J25 37J20 70F07 70F10 47A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lenarduzzi, Fernando Recoding the classical Hénon-Devaney map. (English) Zbl 1441.37027 Discrete Contin. Dyn. Syst. 40, No. 7, 4073-4092 (2020). MSC: 37C05 37B10 37B51 70F07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cárcamo-Díaz, Daniela; Palacián, Jesús F.; Vidal, Claudio; Yanguas, Patricia On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem. (English) Zbl 1441.70004 Regul. Chaotic Dyn. 25, No. 2, 131-148 (2020). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 37J25 37N05 70F15 70K28 × Cite Format Result Cite Review PDF Full Text: DOI
Meyer, Kenneth R.; Schmidt, Dieter S. Invariant manifolds in the Hamiltonian-Hopf bifurcation. (English) Zbl 1439.37052 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 32, 14 p. (2020). Reviewer: Changjin Xu (Guiyang) MSC: 37J20 37J25 37J40 37J46 34C23 34C37 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Zotos, Euaggelos E.; Papadakis, K. E.; Suraj, Md Sanam; Mittal, Amit; Aggarwal, Rajiv Networks of periodic orbits in the circular restricted three-body problem with first order post-Newtonian terms. (English) Zbl 1532.70016 Meccanica 54, No. 15, 2339-2365 (2019). MSC: 70F07 70F05 70H12 70H14 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chang; Dong, Lu Stabilization of Lagrange points in circular restricted three-body problem: a port-Hamiltonian approach. (English) Zbl 1476.70025 Phys. Lett., A 383, No. 16, 1907-1914 (2019). MSC: 70F07 70H14 × Cite Format Result Cite Review PDF Full Text: DOI
Barrabés, Esther; Ollé, Mercè Space manifold dynamics: the highways of the universe. (Catalan. English summary) Zbl 1476.70014 Butll. Soc. Catalana Mat. 34, No. 2, 97-123 (2019). MSC: 70F07 70F10 70F15 × Cite Format Result Cite Review PDF Full Text: DOI
Oshima, Kenta Linking low- to high-energy dynamics of invariant manifolds, transit orbits, and singular collision orbits in the planar circular restricted three-body problem. (English) Zbl 1451.70020 Celest. Mech. Dyn. Astron. 131, No. 11, Paper No. 53, 15 p. (2019). MSC: 70F07 70H33 × Cite Format Result Cite Review PDF Full Text: DOI
Lan, Lei; Malhotra, Renu Neptune’s resonances in the scattered disk. (English) Zbl 1451.70046 Celest. Mech. Dyn. Astron. 131, No. 8, Paper No. 39, 26 p. (2019). MSC: 70M20 70F15 70K28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Oshima, Kenta 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. (English) Zbl 1451.70051 Celest. Mech. Dyn. Astron. 131, No. 3, Paper No. 14, 28 p. (2019). MSC: 70M20 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xingbo Doubly symmetric periodic orbits around one oblate primary in the restricted three-body problem. (English) Zbl 1448.70023 Celest. Mech. Dyn. Astron. 131, No. 2, Paper No. 10, 15 p. (2019). MSC: 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Belbruno, Edward; Frauenfelder, Urs; van Koert, Otto A family of periodic orbits in the three-dimensional lunar problem. (English) Zbl 1448.70032 Celest. Mech. Dyn. Astron. 131, No. 2, Paper No. 7, 22 p. (2019). MSC: 70F15 70F07 34C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Almeida, A. K. jun.; Prado, A. F. B. A.; Yokoyama, Tadashi Determination of thrusts to generate artificial equilibrium points in binary systems with applications to a planar solar sail. (English) Zbl 1439.70016 Nonlinear Dyn. 95, No. 2, 919-942 (2019). MSC: 70F05 70F07 37N05 × Cite Format Result Cite Review PDF Full Text: DOI
Polyak, B. T.; Shalby, L. A. Minimum fuel-consumption stabilization of a spacecraft at the Lagrangian points. (English. Russian original) Zbl 1441.49039 Autom. Remote Control 80, No. 12, 2217-2228 (2019); translation from Avtom. Telemekh. 2019, No. 12, 160-172 (2019). MSC: 49S05 49J40 70F07 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Suddhasattwa; Saiki, Yoshitaka; Sander, Evelyn; Yorke, James A. Solving the Babylonian problem of quasiperiodic rotation rates. (English) Zbl 1441.37094 Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2279-2305 (2019). MSC: 37N05 37A30 37C55 70F07 70H12 70K43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv