Xu, Ming; Qu, Qingyu; Dong, Yunfeng; Zheng, Yaru; Santos, Ramil Capturing a spacecraft around a flyby asteroid using Hamiltonian-structure-preserving control. (English) Zbl 07274903 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105500, 10 p. (2021). MSC: 70F 93 PDF BibTeX XML Cite \textit{M. Xu} et al., Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105500, 10 p. (2021; Zbl 07274903) Full Text: DOI
Kholshevnikov, K. V.; Titov, V. B. Minimal velocity surface in a restricted circular three-body problem. (English. Russian original) Zbl 07310912 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). MSC: 70F 70 70M 70H PDF BibTeX XML Cite \textit{K. V. Kholshevnikov} and \textit{V. B. Titov}, Vestn. St. Petersbg. Univ., Math. 53, No. 4, 473--479 (2020; Zbl 07310912); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 734--742 (2020) Full Text: DOI
González Calvet, Ramon On a new analytic theory of the Moon’s motion. I: Orbital angular momentum. (English) Zbl 07309229 J. Geom. Symmetry Phys. 57, 1-43 (2020). MSC: 70F07 70F15 PDF BibTeX XML Cite \textit{R. González Calvet}, J. Geom. Symmetry Phys. 57, 1--43 (2020; Zbl 07309229) Full Text: DOI Euclid
Ansari, Abdullah A.; Prasad, Sada Nand; Singh, Chaman Vertical motion of the variable infinitesimal mass in the circular Sitnikov problem. (English) Zbl 07288688 Appl. Appl. Math. 15, No. 2, 1396-1406 (2020). MSC: 70F15 70K42 70F07 PDF BibTeX XML Cite \textit{A. A. Ansari} et al., Appl. Appl. Math. 15, No. 2, 1396--1406 (2020; Zbl 07288688) Full Text: Link
Kaur, Bhavneet; Kumar, Sumit; Chauhan, Shipra; Kumar, Dinesh Stability analysis of circular Robe’s R3BP with finite straight segment and viscosity. (English) Zbl 07288669 Appl. Appl. Math. 15, No. 2, 1072-1090 (2020). MSC: 70F07 70F15 PDF BibTeX XML Cite \textit{B. Kaur} et al., Appl. Appl. Math. 15, No. 2, 1072--1090 (2020; Zbl 07288669) Full Text: Link
Di Ruzza, Sara; Daquin, Jérôme; Pinzari, Gabriella Symbolic dynamics in a binary asteroid system. (English) Zbl 07281791 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105414, 16 p. (2020). MSC: 37N05 37B10 70F07 70F15 PDF BibTeX XML Cite \textit{S. Di Ruzza} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105414, 16 p. (2020; Zbl 07281791) Full Text: DOI
Seara, Tere M.; Zhang, Jianlu Oscillatory orbits in the restricted planar four body problem. (English) Zbl 07278334 Nonlinearity 33, No. 12, 6985-7015 (2020). MSC: 70F07 70F05 37N05 PDF BibTeX XML Cite \textit{T. M. Seara} and \textit{J. Zhang}, Nonlinearity 33, No. 12, 6985--7015 (2020; Zbl 07278334) Full Text: DOI
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 07274336 Nonlinear Dyn. Syst. Theory 20, No. 3, 333-344 (2020). MSC: 70F07 70F10 70F15 PDF BibTeX XML Cite \textit{Md. S. Suraj} et al., Nonlinear Dyn. Syst. Theory 20, No. 3, 333--344 (2020; Zbl 07274336)
Pinzari, Gabriella Euler integral and perihelion librations. (English) Zbl 07273503 Discrete Contin. Dyn. Syst. 40, No. 12, 6919-6943 (2020). MSC: 70F07 37J11 37J35 34D10 70F10 70F15 37J25 37J40 PDF BibTeX XML Cite \textit{G. Pinzari}, Discrete Contin. Dyn. Syst. 40, No. 12, 6919--6943 (2020; Zbl 07273503) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. Zhang} et al., Celest. Mech. Dyn. Astron. 132, No. 8, Paper No. 41, 29 p. (2020; Zbl 1448.70084) 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 PDF BibTeX XML Cite \textit{E. M. Zimovan-Spreen} et al., Celest. Mech. Dyn. Astron. 132, No. 5, Paper No. 28, 25 p. (2020; Zbl 1448.70085) 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 PDF BibTeX XML Cite \textit{R. Suleiman} et al., Differ. Equ. Dyn. Syst. 28, No. 4, 901--922 (2020; Zbl 1452.85002) 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 07269849 Nonlinear Dyn. Syst. Theory 20, No. 4, 439-450 (2020). MSC: 70F07 70F10 70F15 PDF BibTeX XML Cite \textit{Md. S. Suraj} et al., Nonlinear Dyn. Syst. Theory 20, No. 4, 439--450 (2020; Zbl 07269849) Full Text: Link
Fantino, Elena; Salazar, Francisco; Alessi, Elisa Maria Design and performance of low-energy orbits for the exploration of Enceladus. (English) Zbl 07265429 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105393, 18 p. (2020). MSC: 70F15 70F07 PDF BibTeX XML Cite \textit{E. Fantino} et al., Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105393, 18 p. (2020; Zbl 07265429) Full Text: DOI
Tan, Minghu; Zhang, Ke; Wang, Jingyu Single impulsive transfer to the Earth-Moon triangular point L\(_4\) in a bicircular model. (English) Zbl 07265092 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105074, 17 p. (2020). MSC: 70 80 PDF BibTeX XML Cite \textit{M. Tan} et al., Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105074, 17 p. (2020; Zbl 07265092) Full Text: DOI
Meléndez, J.; Alvarez-Ramírez, M.; García, A. The three-body problem as a geodesic billiard map with singularities. (English) Zbl 07261652 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105238, 10 p. (2020). MSC: 37C83 70F07 PDF BibTeX XML Cite \textit{J. Meléndez} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105238, 10 p. (2020; Zbl 07261652) Full Text: DOI
Gao, Fabao; Llibre, Jaume Periodic orbits of the two fixed centers problem with a variational gravitational field. (English) Zbl 1448.70019 Celest. Mech. Dyn. Astron. 132, No. 6-7, Paper No. 39, 9 p. (2020). MSC: 70F07 PDF BibTeX XML Cite \textit{F. Gao} and \textit{J. Llibre}, Celest. Mech. Dyn. Astron. 132, No. 6--7, Paper No. 39, 9 p. (2020; Zbl 1448.70019) 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 PDF BibTeX XML Cite \textit{T. Kotoulas} and \textit{G. Voyatzis}, Celest. Mech. Dyn. Astron. 132, No. 6--7, Paper No. 33, 16 p. (2020; Zbl 1448.70040) Full Text: DOI
Kim, Joontae; Kim, Seongchan \( J^+\)-like invariants of periodic orbits of the second kind in the restricted three-body problem. (English) Zbl 07239865 J. Topol. Anal. 12, No. 3, 675-712 (2020). MSC: 70F05 70F07 53A04 57R42 05C10 PDF BibTeX XML Cite \textit{J. Kim} and \textit{S. Kim}, J. Topol. Anal. 12, No. 3, 675--712 (2020; Zbl 07239865) Full Text: DOI
Turbiner, Alexander V.; Lopez Vieyra, Juan Carlos Particular superintegrability of 3-body (modified) Newtonian gravity. (English) Zbl 1439.70019 Mod. Phys. Lett. A 35, No. 22, Article ID 2050185, 8 p. (2020). MSC: 70F07 PDF BibTeX XML Cite \textit{A. V. Turbiner} and \textit{J. C. Lopez Vieyra}, Mod. Phys. Lett. A 35, No. 22, Article ID 2050185, 8 p. (2020; Zbl 1439.70019) Full Text: DOI
Zotos, Euaggelos E. Orbital analysis in the planar circular Copenhagen problem using polar coordinates. (English) Zbl 07236922 Math. Methods Appl. Sci. 43, No. 4, 2020-2031 (2020). MSC: 70F15 70F16 37N05 PDF BibTeX XML Cite \textit{E. E. Zotos}, Math. Methods Appl. Sci. 43, No. 4, 2020--2031 (2020; Zbl 07236922) Full Text: DOI
Minglibayev, Mukhtar; Prokopenya, Alexander; Shomshekova, Saule Computing perturbations in the two-planetary three-body problem with masses varying non-isotropically at different rates. (English) Zbl 07225413 Math. Comput. Sci. 14, No. 2, 241-251 (2020). MSC: 70F07 68W30 PDF BibTeX XML Cite \textit{M. Minglibayev} et al., Math. Comput. Sci. 14, No. 2, 241--251 (2020; Zbl 07225413) 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 07225163 Appl. Appl. Math. 15, No. 1, 77-93 (2020). MSC: 70F07 70F15 PDF BibTeX XML Cite \textit{B. Kaur} et al., Appl. Appl. Math. 15, No. 1, 77--93 (2020; Zbl 07225163) Full Text: Link
Pinzari, Gabriella Perihelion librations in the secular three-body problem. (English) Zbl 1453.70006 J. Nonlinear Sci. 30, No. 4, 1771-1808 (2020). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F10 70F15 34C20 34D10 37J25 37J35 37J40 PDF BibTeX XML Cite \textit{G. Pinzari}, J. Nonlinear Sci. 30, No. 4, 1771--1808 (2020; Zbl 1453.70006) Full Text: DOI
Liu, Bowen; Zhou, Qinglong Linear stability of elliptic relative equilibria of restricted four-body problem. (English) Zbl 07206552 J. Differ. Equations 269, No. 6, 4751-4798 (2020). MSC: 37J25 70F07 70F10 PDF BibTeX XML Cite \textit{B. Liu} and \textit{Q. Zhou}, J. Differ. Equations 269, No. 6, 4751--4798 (2020; Zbl 07206552) Full Text: DOI
Diacu, Florin; Zhu, Shuqiang Almost all 3-body relative equilibria on \(\mathbb{S}^2\) and \(\mathbb{H}^2\) are inclined. (English) Zbl 1439.70022 Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1131-1143 (2020). MSC: 70F15 70F07 PDF BibTeX XML Cite \textit{F. Diacu} and \textit{S. Zhu}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1131--1143 (2020; Zbl 1439.70022) Full Text: DOI
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 PDF BibTeX XML Cite \textit{F. Lenarduzzi}, Discrete Contin. Dyn. Syst. 40, No. 7, 4073--4092 (2020; Zbl 1441.37027) Full Text: DOI
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 PDF BibTeX XML Cite \textit{D. Cárcamo-Díaz} et al., Regul. Chaotic Dyn. 25, No. 2, 131--148 (2020; Zbl 1441.70004) Full Text: DOI
Moeckel, Richard Minimal geodesics of the isosceles three body problem. (English) Zbl 07173913 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 48, 29 p. (2020). MSC: 70F07 70F15 PDF BibTeX XML Cite \textit{R. Moeckel}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 48, 29 p. (2020; Zbl 07173913) 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 PDF BibTeX XML Cite \textit{K. R. Meyer} and \textit{D. S. Schmidt}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 32, 14 p. (2020; Zbl 1439.37052) Full Text: DOI
Sosnyts’kyĭ, S. P. The bonded motions in elliptic problem of three bodies. (Ukrainian. English summary) Zbl 07277726 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 2, 156-166 (2019). MSC: 70F07 34D09 PDF BibTeX XML Cite \textit{S. P. Sosnyts'kyĭ}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 2, 156--166 (2019; Zbl 07277726) Full Text: Link
Barrabés, Esther; Ollé, Mercè Space manifold dynamics: the highways of the universe. (Catalan. English summary) Zbl 07273999 Butll. Soc. Catalana Mat. 34, No. 2, 97-123 (2019). MSC: 70F07 70F10 70F15 PDF BibTeX XML Cite \textit{E. Barrabés} and \textit{M. Ollé}, Butll. Soc. Catalana Mat. 34, No. 2, 97--123 (2019; Zbl 07273999) Full Text: DOI
Doultsinou, Vassiliki; Loibnegger, B.; Varvoglis, H.; Dvorak, R. Systematic simulations of FFP scattering by a star-planet pair. (English) Zbl 1451.70031 Celest. Mech. Dyn. Astron. 131, No. 12, Paper No. 55, 30 p. (2019). MSC: 70F15 70F07 PDF BibTeX XML Cite \textit{V. Doultsinou} et al., Celest. Mech. Dyn. Astron. 131, No. 12, Paper No. 55, 30 p. (2019; Zbl 1451.70031) 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 PDF BibTeX XML Cite \textit{K. Oshima}, Celest. Mech. Dyn. Astron. 131, No. 11, Paper No. 53, 15 p. (2019; Zbl 1451.70020) Full Text: DOI
Beaugé, C.; Cincotta, P. M. Shannon entropy applied to the planar restricted three-body problem. (English) Zbl 1451.70017 Celest. Mech. Dyn. Astron. 131, No. 11, Paper No. 52, 21 p. (2019). MSC: 70F07 94A17 PDF BibTeX XML Cite \textit{C. Beaugé} and \textit{P. M. Cincotta}, Celest. Mech. Dyn. Astron. 131, No. 11, Paper No. 52, 21 p. (2019; Zbl 1451.70017) 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 PDF BibTeX XML Cite \textit{L. Lan} and \textit{R. Malhotra}, Celest. Mech. Dyn. Astron. 131, No. 8, Paper No. 39, 26 p. (2019; Zbl 1451.70046) Full Text: DOI
Tanikawa, Kiyotaka; Saito, Masaya M.; Mikkola, Seppo A search for triple collision orbits inside the domain of the free-fall three-body problem. (English) Zbl 1451.70034 Celest. Mech. Dyn. Astron. 131, No. 6, Paper No. 24, 20 p. (2019). MSC: 70F16 70F07 PDF BibTeX XML Cite \textit{K. Tanikawa} et al., Celest. Mech. Dyn. Astron. 131, No. 6, Paper No. 24, 20 p. (2019; Zbl 1451.70034) Full Text: DOI
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 PDF BibTeX XML Cite \textit{K. Oshima}, Celest. Mech. Dyn. Astron. 131, No. 3, Paper No. 14, 28 p. (2019; Zbl 1451.70051) 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 PDF BibTeX XML Cite \textit{X. Xu}, Celest. Mech. Dyn. Astron. 131, No. 2, Paper No. 10, 15 p. (2019; Zbl 1448.70023) 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 PDF BibTeX XML Cite \textit{E. Belbruno} et al., Celest. Mech. Dyn. Astron. 131, No. 2, Paper No. 7, 22 p. (2019; Zbl 1448.70032) Full Text: DOI
de Almeida, A. K. jun.; Prado, A. F. B. A.; Yokoyama, T. 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 PDF BibTeX XML Cite \textit{A. K. de Almeida jun.} et al., Nonlinear Dyn. 95, No. 2, 919--942 (2019; Zbl 1439.70016) Full Text: DOI
Zotos, Euaggelos E.; Suraj, Md Sanam; Mittal, Amit; Aggarwal, Rajiv Determining the basins of convergence in the Sitnikov three-body problem with a repulsive quasi-homogeneous Manev-type potential. (English) Zbl 1447.37073 Nonlinear Stud. 26, No. 4, 1027-1044 (2019). MSC: 37M22 37N05 70F07 28A80 65P10 PDF BibTeX XML Cite \textit{E. E. Zotos} et al., Nonlinear Stud. 26, No. 4, 1027--1044 (2019; Zbl 1447.37073) Full Text: Link
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 PDF BibTeX XML Cite \textit{B. T. Polyak} and \textit{L. A. Shalby}, Autom. Remote Control 80, No. 12, 2217--2228 (2019; Zbl 1441.49039); translation from Avtom. Telemekh. 2019, No. 12, 160--172 (2019) 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 PDF BibTeX XML Cite \textit{S. Das} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2279--2305 (2019; Zbl 1441.37094) Full Text: DOI
Kaur, Charanpreet; Sharma, Binay Kumar; Yadav, Sushil Resonance in the motion of a geo-centric satellite due to the Poynting-Robertson drag and oblateness of the Earth. (English) Zbl 1441.37096 Nonlinear Dyn. Syst. Theory 19, No. 4, 497-511 (2019). MSC: 37N05 70F07 70F15 PDF BibTeX XML Cite \textit{C. Kaur} et al., Nonlinear Dyn. Syst. Theory 19, No. 4, 497--511 (2019; Zbl 1441.37096)
Llibre, Jaume; Yuan, Pengfei Bicentric quadrilateral central configurations. (English) Zbl 1433.70022 Appl. Math. Comput. 362, Article ID 124507, 7 p. (2019). MSC: 70F10 70F07 70F15 37N05 PDF BibTeX XML Cite \textit{J. Llibre} and \textit{P. Yuan}, Appl. Math. Comput. 362, Article ID 124507, 7 p. (2019; Zbl 1433.70022) Full Text: DOI
Kishor, Ram; Raj, M. Xavier James; Ishwar, Bhola Normalization of Hamiltonian and nonlinear stability of triangular equilibrium points in the photogravitational restricted three body problem with P-R drag in non-resonance case. (English) Zbl 07148078 Qual. Theory Dyn. Syst. 18, No. 3, 1055-1075 (2019). MSC: 70H14 37J40 70F07 PDF BibTeX XML Cite \textit{R. Kishor} et al., Qual. Theory Dyn. Syst. 18, No. 3, 1055--1075 (2019; Zbl 07148078) Full Text: DOI
Yumagulov, M. G. Basic bifurcation scenarios in neighborhoods of boundaries of stability regions of libration points in the three-body problem. (English. Russian original) Zbl 07139908 J. Math. Sci., New York 241, No. 3, 364-378 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 114-127 (2017). MSC: 70F07 70H14 34D20 34C23 37G10 PDF BibTeX XML Cite \textit{M. G. Yumagulov}, J. Math. Sci., New York 241, No. 3, 364--378 (2019; Zbl 07139908); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 139, 114--127 (2017) Full Text: DOI
Gevorkyan, A. S. The three-body problem in Riemannian geometry. Hidden irreversibility of the classical dynamical system. (English) Zbl 07139452 Lobachevskii J. Math. 40, No. 8, 1058-1068 (2019). MSC: 70 83 PDF BibTeX XML Cite \textit{A. S. Gevorkyan}, Lobachevskii J. Math. 40, No. 8, 1058--1068 (2019; Zbl 07139452) Full Text: DOI
Mondelo, Josep-Maria Computing invariant manifolds for libration point missions. (English) Zbl 1428.70023 Baù, Giulio (ed.) et al., Satellite dynamics and space missions. Collected papers of the summer school “Satellite dynamics and space missions: theory and applications of celestial mechanics”, San Martino al Cimino, Viterbo, Italy, August 28 – September 2, 2017. Cham: Springer. Springer INdAM Ser. 34, 159-223 (2019). MSC: 70F10 37M99 34C45 70H33 PDF BibTeX XML Cite \textit{J.-M. Mondelo}, Springer INdAM Ser. 34, 159--223 (2019; Zbl 1428.70023) Full Text: DOI
Dods, Victor; Shanbrom, Corey Numerical methods and closed orbits in the Kepler-Heisenberg problem. (English) Zbl 1425.70020 Exp. Math. 28, No. 4, 420-427 (2019). MSC: 70F07 70F15 70-08 65P10 70H12 70F05 53C17 PDF BibTeX XML Cite \textit{V. Dods} and \textit{C. Shanbrom}, Exp. Math. 28, No. 4, 420--427 (2019; Zbl 1425.70020) Full Text: DOI arXiv
de Bustos, M. Teresa; Fernández, Antonio; López, Miguel A.; Martínez, Raquel; Vera, Juan A. Periodic orbits of third kind in the zonal \(J_2+J_3\) problem. (English) Zbl 1423.70038 Symmetry 11, No. 1, Paper No. 111, 12 p. (2019). MSC: 70F07 70F15 PDF BibTeX XML Cite \textit{M. T. de Bustos} et al., Symmetry 11, No. 1, Paper No. 111, 12 p. (2019; Zbl 1423.70038) Full Text: DOI
Kuang, Wentian; Ouyang, Tiancheng; Xie, Zhifu; Yan, Duokui The Broucke-Hénon orbit and the Schubart orbit in the planar three-body problem with two equal masses. (English) Zbl 07123900 Nonlinearity 32, No. 12, 4639-4664 (2019). Reviewer: Wolfgang G. Hollik (Karlsruhe) MSC: 37N05 37J46 37J51 70F10 70F07 70F15 PDF BibTeX XML Cite \textit{W. Kuang} et al., Nonlinearity 32, No. 12, 4639--4664 (2019; Zbl 07123900) Full Text: DOI
Kajihara, Yuika; Shibayama, Misturu Variational proof of the existence of brake orbits in the planar 2-center problem. (English) Zbl 1436.37073 Discrete Contin. Dyn. Syst. 39, No. 10, 5785-5797 (2019). MSC: 37J51 70F05 70F07 70F15 70G75 PDF BibTeX XML Cite \textit{Y. Kajihara} and \textit{M. Shibayama}, Discrete Contin. Dyn. Syst. 39, No. 10, 5785--5797 (2019; Zbl 1436.37073) Full Text: DOI
Pathak, Niraj; Thomas, V. O.; Abouelmagd, Elbaz I. The perturbed photogravitational restricted three-body problem: analysis of resonant periodic orbits. (English) Zbl 1422.37063 Discrete Contin. Dyn. Syst., Ser. S 12, No. 4-5, 849-875 (2019). MSC: 37N05 70F07 70F15 PDF BibTeX XML Cite \textit{N. Pathak} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 4--5, 849--875 (2019; Zbl 1422.37063) Full Text: DOI
Selim, Hadia H.; Guirao, Juan L. G.; Abouelmagd, Elbaz I. Libration points in the restricted three-body problem: Euler angles, existence and stability. (English) Zbl 1422.37064 Discrete Contin. Dyn. Syst., Ser. S 12, No. 4-5, 703-710 (2019). MSC: 37N05 70F15 37J25 PDF BibTeX XML Cite \textit{H. H. Selim} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 4--5, 703--710 (2019; Zbl 1422.37064) Full Text: DOI
Ansari, Abdullah A.; Shalini, Kumari; Alhussain, Ziyad A. Non-linear stability of \(L_4\) in the R3BP when the smaller primary is a heterogeneous triaxial rigid body with \(N\) layers. (English) Zbl 1423.85004 Ital. J. Pure Appl. Math. 41, 297-312 (2019). MSC: 85A05 37N05 70F07 37J40 PDF BibTeX XML Cite \textit{A. A. Ansari} et al., Ital. J. Pure Appl. Math. 41, 297--312 (2019; Zbl 1423.85004) Full Text: Link
Kaur, Charanpreet Kaur; Sharma, Binay Kumar; Yadav, Sushil Resonance in the motion of a geo-centric satellite due to Poynting-Robertson drag and equatorial ellipticity of the Earth. (English) Zbl 1429.70021 Appl. Appl. Math. 14, No. 1, 416-436 (2019). MSC: 70M20 37M10 37M05 70F07 34C60 PDF BibTeX XML Cite \textit{C. K. Kaur} et al., Appl. Appl. Math. 14, No. 1, 416--436 (2019; Zbl 1429.70021) Full Text: Link
Kepley, Shane; Mireles James, J. D. Chaotic motions in the restricted four body problem via Devaney’s saddle-focus homoclinic tangle theorem. (English) Zbl 1422.37062 J. Differ. Equations 266, No. 4, 1709-1755 (2019). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 37N05 37J45 37J15 37J25 70F07 70F10 70H14 PDF BibTeX XML Cite \textit{S. Kepley} and \textit{J. D. Mireles James}, J. Differ. Equations 266, No. 4, 1709--1755 (2019; Zbl 1422.37062) Full Text: DOI arXiv
Kim, Seongchan On families of periodic orbits in the restricted three-body problem. (English) Zbl 1447.70006 Qual. Theory Dyn. Syst. 18, No. 1, 201-232 (2019); erratum ibid. 18, No. 3, 1263-1269 (2019). MSC: 70F07 70H12 PDF BibTeX XML Cite \textit{S. Kim}, Qual. Theory Dyn. Syst. 18, No. 1, 201--232 (2019; Zbl 1447.70006) Full Text: DOI DOI
Cors, Josep M.; Palacián, Jesús F.; Yanguas, Patricia On co-orbital quasi-periodic motion in the three-body problem. (English) Zbl 1448.70016 SIAM J. Appl. Dyn. Syst. 18, No. 1, 334-353 (2019). MSC: 70F07 37J40 37N05 70F15 70K65 PDF BibTeX XML Cite \textit{J. M. Cors} et al., SIAM J. Appl. Dyn. Syst. 18, No. 1, 334--353 (2019; Zbl 1448.70016) Full Text: DOI
Frauenfelder, Urs; Zhao, Lei Existence of either a periodic collisional orbit or infinitely many consecutive collision orbits in the planar circular restricted three-body problem. (English) Zbl 1426.37059 Math. Z. 291, No. 1-2, 215-225 (2019). Reviewer: Yulianna Perepelkina (Moskva) MSC: 37N05 70F07 70F35 53D40 PDF BibTeX XML Cite \textit{U. Frauenfelder} and \textit{L. Zhao}, Math. Z. 291, No. 1--2, 215--225 (2019; Zbl 1426.37059) Full Text: DOI arXiv
Zotos, Euaggelos E.; Suraj, Md Sanam; Aggarwal, Rajiv; Mittal, Amit On the convergence dynamics of the Sitnikov problem with non-spherical primaries. (English) Zbl 1415.70026 Int. J. Appl. Comput. Math. 5, No. 2, Paper No. 43, 12 p. (2019). MSC: 70F07 65H05 PDF BibTeX XML Cite \textit{E. E. Zotos} et al., Int. J. Appl. Comput. Math. 5, No. 2, Paper No. 43, 12 p. (2019; Zbl 1415.70026) Full Text: DOI
Delgado, Joaquín; Vidal, Claudio Dynamics of the parabolic restricted collinear three-body problem. (English) Zbl 1446.70023 SIAM J. Appl. Dyn. Syst. 18, No. 1, 172-204 (2019). MSC: 70F07 70F15 37N05 PDF BibTeX XML Cite \textit{J. Delgado} and \textit{C. Vidal}, SIAM J. Appl. Dyn. Syst. 18, No. 1, 172--204 (2019; Zbl 1446.70023) Full Text: DOI
Abouelmagd, Elbaz I.; García Guirao, Juan Luis; Llibre, Jaume Periodic orbits for the perturbed planar circular restricted 3-body problem. (English) Zbl 1446.70020 Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1007-1020 (2019). MSC: 70F07 70F15 70H12 34C25 PDF BibTeX XML Cite \textit{E. I. Abouelmagd} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1007--1020 (2019; Zbl 1446.70020) Full Text: DOI
Castelli, Roberto Efficient representation of invariant manifolds of periodic orbits in the CRTBP. (English) Zbl 1404.37022 Discrete Contin. Dyn. Syst., Ser. B 24, No. 2, 563-586 (2019). MSC: 37C27 70F15 37D10 PDF BibTeX XML Cite \textit{R. Castelli}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 2, 563--586 (2019; Zbl 1404.37022) Full Text: DOI
Hoveijn, I.; Waalkens, H.; Zaman, M. Critical points of the integral map of the charged three-body problem. (English) Zbl 1433.70018 Indag. Math., New Ser. 30, No. 1, 165-196 (2019). MSC: 70F07 70G75 PDF BibTeX XML Cite \textit{I. Hoveijn} et al., Indag. Math., New Ser. 30, No. 1, 165--196 (2019; Zbl 1433.70018) Full Text: DOI
Bombardelli, Claudio; Bernal Mencía, Pablo The circular restricted three-body problem in curvilinear coordinates. (English) Zbl 1448.70015 Celest. Mech. Dyn. Astron. 130, No. 11, Paper No. 76, 16 p. (2018). MSC: 70F07 PDF BibTeX XML Cite \textit{C. Bombardelli} and \textit{P. Bernal Mencía}, Celest. Mech. Dyn. Astron. 130, No. 11, Paper No. 76, 16 p. (2018; Zbl 1448.70015) Full Text: DOI
Deme, Barnabás; Érdi, Bálint; Tóth, L. Viktor The restricted three-body problem in cylindrical clouds. (English) Zbl 1448.70017 Celest. Mech. Dyn. Astron. 130, No. 11, Paper No. 73, 11 p. (2018). MSC: 70F07 70F15 PDF BibTeX XML Cite \textit{B. Deme} et al., Celest. Mech. Dyn. Astron. 130, No. 11, Paper No. 73, 11 p. (2018; Zbl 1448.70017) Full Text: DOI
Sidorenko, Vladislav V. Dynamics of “jumping” Trojans: a perturbative treatment. (English) Zbl 1448.70078 Celest. Mech. Dyn. Astron. 130, No. 10, Paper No. 67, 18 p. (2018). MSC: 70M20 70F07 PDF BibTeX XML Cite \textit{V. V. Sidorenko}, Celest. Mech. Dyn. Astron. 130, No. 10, Paper No. 67, 18 p. (2018; Zbl 1448.70078) Full Text: DOI
Voyatzis, G.; Antoniadou, Kyriaki I. On quasi-satellite periodic motion in asteroid and planetary dynamics. (English) Zbl 1448.70080 Celest. Mech. Dyn. Astron. 130, No. 9, Paper No. 59, 18 p. (2018). MSC: 70M20 70H12 70F07 PDF BibTeX XML Cite \textit{G. Voyatzis} and \textit{K. I. Antoniadou}, Celest. Mech. Dyn. Astron. 130, No. 9, Paper No. 59, 18 p. (2018; Zbl 1448.70080) Full Text: DOI
Salomão, Pedro A. S.; Hryniewicz, Umberto L. Global surfaces of section for Reeb flows in dimension three and beyond. (English) Zbl 1451.53004 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 941-967 (2018). MSC: 53-02 53D35 53D10 37J39 PDF BibTeX XML Cite \textit{P. A. S. Salomão} and \textit{U. L. Hryniewicz}, in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 941--967 (2018; Zbl 1451.53004) Full Text: DOI
Singh, Jagadish; Perdiou, A. E.; Gyegwe, Jessica Mrumun; Perdios, E. A. Periodic solutions around the collinear equilibrium points in the perturbed restricted three-body problem with triaxial and radiating primaries for binary HD 191408, Kruger 60 and HD 155876 systems. (English) Zbl 1428.70019 Appl. Math. Comput. 325, 358-374 (2018). MSC: 70F07 70F15 PDF BibTeX XML Cite \textit{J. Singh} et al., Appl. Math. Comput. 325, 358--374 (2018; Zbl 1428.70019) Full Text: DOI
Luo, Tong; Xu, Ming Dynamics of the spatial restricted three-body problem stabilized by Hamiltonian structure-preserving control. (English) Zbl 1422.93055 Nonlinear Dyn. 94, No. 3, 1889-1905 (2018). MSC: 93B18 70Q05 70H33 PDF BibTeX XML Cite \textit{T. Luo} and \textit{M. Xu}, Nonlinear Dyn. 94, No. 3, 1889--1905 (2018; Zbl 1422.93055) Full Text: DOI
Gagg Filho, Luiz Arthur; da Silva Fernandes, Sandro A study of Earth-Moon trajectories based on analytical expressions for the velocity increments. (English) Zbl 1429.70006 Comput. Appl. Math. 37, No. 1, Suppl., 338-364 (2018). MSC: 70F07 70M20 PDF BibTeX XML Cite \textit{L. A. Gagg Filho} and \textit{S. da Silva Fernandes}, Comput. Appl. Math. 37, No. 1, 338--364 (2018; Zbl 1429.70006) Full Text: DOI
Formiga, Jorge Kennety S.; Gomes, Vivian Martins; Vilhena de Moraes, Rodolpho Orbital effects in a cloud of space debris making a close approach with the earth. (English) Zbl 1429.70019 Comput. Appl. Math. 37, No. 1, Suppl., 133-143 (2018). MSC: 70M20 70F05 70F07 70F15 PDF BibTeX XML Cite \textit{J. K. S. Formiga} et al., Comput. Appl. Math. 37, No. 1, 133--143 (2018; Zbl 1429.70019) Full Text: DOI
Sosnyts’kyĭ, S. P. On symmetric motions in an elliptic restricted three-body problem. (Ukrainian. English summary) Zbl 1424.70007 Zb. Pr. Inst. Mat. NAN Ukr. 15, No. 1, 206-216 (2018). MSC: 70F07 34D09 PDF BibTeX XML Cite \textit{S. P. Sosnyts'kyĭ}, Zb. Pr. Inst. Mat. NAN Ukr. 15, No. 1, 206--216 (2018; Zbl 1424.70007)
Yoshimi, Naoko; Yoshioka, Akira \(2+1\)-Moulton configuration. (English) Zbl 1416.70012 J. Geom. Symmetry Phys. 50, 79-95 (2018). MSC: 70F15 70F10 70F07 35Q70 PDF BibTeX XML Cite \textit{N. Yoshimi} and \textit{A. Yoshioka}, J. Geom. Symmetry Phys. 50, 79--95 (2018; Zbl 1416.70012) Full Text: DOI Euclid
González Calvet, Ramon The solution to the three-body problem and some applications. (English) Zbl 07063842 J. Geom. Symmetry Phys. 49, 1-61 (2018). MSC: 70F07 70F15 81Q05 PDF BibTeX XML Cite \textit{R. González Calvet}, J. Geom. Symmetry Phys. 49, 1--61 (2018; Zbl 07063842) Full Text: DOI Euclid
Montgomery, Richard Blow-up, homotopy and existence for periodic solutions of the planar three-body problem. (English) Zbl 1430.37106 Hernández-Lamoneda, Luis (ed.) et al., Geometrical themes inspired by the N-body problem. Lecture notes given at the 7th mini-meeting on differential geometry, Center for Research in Mathematics (CIMAT), Guanajuato, México, February 17–19, 2015. Cham: Springer. Lect. Notes Math. 2204, 49-89 (2018). Reviewer: Lennard Bakker (Provo) MSC: 37N05 70H12 70G45 70F10 70F16 70G10 70G40 PDF BibTeX XML Cite \textit{R. Montgomery}, Lect. Notes Math. 2204, 49--89 (2018; Zbl 1430.37106) Full Text: DOI
Chauhan, Shipra; Kumar, Dinesh; Kaur, Bhavneet Restricted three-body problem under the effect of Albedo when smaller primary is a finite straight segment. (English) Zbl 1407.37114 Appl. Appl. Math. 13, No. 2, 1200-1215 (2018). MSC: 37N05 70F07 70F15 PDF BibTeX XML Cite \textit{S. Chauhan} et al., Appl. Appl. Math. 13, No. 2, 1200--1215 (2018; Zbl 1407.37114) Full Text: Link
Kuang, Wentian; Yan, Duokui Existence of prograde double-double orbits in the equal-mass four-body problem. (English) Zbl 1435.70030 Adv. Nonlinear Stud. 18, No. 4, 819-843 (2018). MSC: 70F10 70F16 70F07 PDF BibTeX XML Cite \textit{W. Kuang} and \textit{D. Yan}, Adv. Nonlinear Stud. 18, No. 4, 819--843 (2018; Zbl 1435.70030) Full Text: DOI arXiv
Perdomo, Oscar M. A bifurcation in the family of periodic orbits for the spatial isosceles 3 body problem. (English) Zbl 1433.70020 Qual. Theory Dyn. Syst. 17, No. 2, 411-428 (2018). MSC: 70F07 70F10 70H12 37C27 PDF BibTeX XML Cite \textit{O. M. Perdomo}, Qual. Theory Dyn. Syst. 17, No. 2, 411--428 (2018; Zbl 1433.70020) Full Text: DOI
de Bustos, M. Teresa; López, Miguel A.; Martínez, Raquel; Vera, Juan A. On the periodic solutions emerging from the equilibria of the Hill lunar problem with oblateness. (English) Zbl 1433.70017 Qual. Theory Dyn. Syst. 17, No. 2, 331-344 (2018). MSC: 70F07 70F15 70H12 37N05 PDF BibTeX XML Cite \textit{M. T. de Bustos} et al., Qual. Theory Dyn. Syst. 17, No. 2, 331--344 (2018; Zbl 1433.70017) Full Text: DOI
Andrade, Jaime; Pérez-Chavela, Ernesto; Vidal, Claudio Regularization of the circular restricted three body problem on surfaces of constant curvature. (English) Zbl 1446.70021 J. Dyn. Differ. Equations 30, No. 4, 1607-1626 (2018). MSC: 70F07 70G60 37D40 PDF BibTeX XML Cite \textit{J. Andrade} et al., J. Dyn. Differ. Equations 30, No. 4, 1607--1626 (2018; Zbl 1446.70021) Full Text: DOI
Gagg Filho, Luiz Arthur; da Silva Fernandes, Sandro Minimum fuel trajectories for round trip lunar missions. (English) Zbl 1446.70045 Comput. Appl. Math. 37, No. 3, 3608-3656 (2018). MSC: 70M20 49N90 PDF BibTeX XML Cite \textit{L. A. Gagg Filho} and \textit{S. da Silva Fernandes}, Comput. Appl. Math. 37, No. 3, 3608--3656 (2018; Zbl 1446.70045) Full Text: DOI
Liang, Yuying; Xu, Ming; Xu, Shijie High-order solutions of motion near triangular libration points for arbitrary value of \(\mu\). (English) Zbl 1398.37019 Nonlinear Dyn. 93, No. 2, 909-932 (2018). MSC: 37C29 70F07 70M20 PDF BibTeX XML Cite \textit{Y. Liang} et al., Nonlinear Dyn. 93, No. 2, 909--932 (2018; Zbl 1398.37019) Full Text: DOI
Andrade, Jaime; Vidal, Claudio Stability of the polar equilibria in a restricted three-body problem on the sphere. (English) Zbl 1433.70015 Regul. Chaotic Dyn. 23, No. 1, 80-101 (2018). MSC: 70F07 70G60 37D40 PDF BibTeX XML Cite \textit{J. Andrade} and \textit{C. Vidal}, Regul. Chaotic Dyn. 23, No. 1, 80--101 (2018; Zbl 1433.70015) Full Text: DOI
Mammadli, A. H. The evolution of Jupiter’s orbit in the case of a stellar approach to the solar system. (English. Russian original) Zbl 1400.85001 Vestn. St. Petersbg. Univ., Math. 51, No. 2, 192-200 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 2, 331-342 (2018). MSC: 85A04 70F07 85A05 PDF BibTeX XML Cite \textit{A. H. Mammadli}, Vestn. St. Petersbg. Univ., Math. 51, No. 2, 192--200 (2018; Zbl 1400.85001); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 2, 331--342 (2018) Full Text: DOI
Restrepo, Ricardo L.; Russell, Ryan P. A database of planar axisymmetric periodic orbits for the solar system. (English) Zbl 1447.70029 Celest. Mech. Dyn. Astron. 130, No. 7, Paper No. 49, 24 p. (2018). MSC: 70M20 70F07 PDF BibTeX XML Cite \textit{R. L. Restrepo} and \textit{R. P. Russell}, Celest. Mech. Dyn. Astron. 130, No. 7, Paper No. 49, 24 p. (2018; Zbl 1447.70029) Full Text: DOI
Carletta, Stefano; Pontani, Mauro; Teofilatto, Paolo Long-term capture orbits for low-energy space missions. (English) Zbl 1396.70027 Celest. Mech. Dyn. Astron. 130, No. 7, Paper No. 46, 28 p. (2018). MSC: 70M20 70F07 PDF BibTeX XML Cite \textit{S. Carletta} et al., Celest. Mech. Dyn. Astron. 130, No. 7, Paper No. 46, 28 p. (2018; Zbl 1396.70027) Full Text: DOI
Antoniadou, Kyriaki I.; Libert, Anne-Sophie 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. (English) Zbl 1447.70005 Celest. Mech. Dyn. Astron. 130, No. 6, Paper No. 41, 30 p. (2018). MSC: 70F07 70K28 PDF BibTeX XML Cite \textit{K. I. Antoniadou} and \textit{A.-S. Libert}, Celest. Mech. Dyn. Astron. 130, No. 6, Paper No. 41, 30 p. (2018; Zbl 1447.70005) Full Text: DOI
Andrade, Jaime; Pérez-Chavela, Ernesto; Vidal, Claudio The restricted three body problem on surfaces of constant curvature. (English) Zbl 1421.70013 J. Differ. Equations 265, No. 9, 4486-4529 (2018). MSC: 70F07 37D40 70G60 PDF BibTeX XML Cite \textit{J. Andrade} et al., J. Differ. Equations 265, No. 9, 4486--4529 (2018; Zbl 1421.70013) Full Text: DOI
Frauenfelder, Urs; van Koert, Otto The restricted three-body problem and holomorphic curves. (English) Zbl 1401.53001 Pathways in Mathematics. Cham: Birkhäuser (ISBN 978-3-319-72277-1/hbk; 978-3-319-72278-8/ebook). xi, 374 p. (2018). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53-01 53C80 70F07 53D10 53D40 PDF BibTeX XML Cite \textit{U. Frauenfelder} and \textit{O. van Koert}, The restricted three-body problem and holomorphic curves. Cham: Birkhäuser (2018; Zbl 1401.53001) Full Text: DOI
Kim, Seongchan Dynamical convexity of the Euler problem of two fixed centers. (English) Zbl 1435.70029 Math. Proc. Camb. Philos. Soc. 165, No. 2, 359-384 (2018). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F15 85A05 PDF BibTeX XML Cite \textit{S. Kim}, Math. Proc. Camb. Philos. Soc. 165, No. 2, 359--384 (2018; Zbl 1435.70029) Full Text: DOI arXiv
Orieux, M.; Caillau, J. -B.; Combot, T.; Féjoz, J. Non-integrability of the minimum-time Kepler problem. (English) Zbl 1407.70025 J. Geom. Phys. 132, 452-459 (2018). MSC: 70H07 37J30 12H05 34M45 70F07 49K15 PDF BibTeX XML Cite \textit{M. Orieux} et al., J. Geom. Phys. 132, 452--459 (2018; Zbl 1407.70025) Full Text: DOI
Kim, Seongchan Homoclinic orbits in the Euler problem of two fixed centers. (English) Zbl 1442.70007 J. Geom. Phys. 132, 55-63 (2018). Reviewer: Diogo Pinheiro (New York) MSC: 70F07 70F15 70F16 37D05 37J35 70K44 PDF BibTeX XML Cite \textit{S. Kim}, J. Geom. Phys. 132, 55--63 (2018; Zbl 1442.70007) Full Text: DOI arXiv
Luo, Tong; Xu, Ming; Dong, Yunfeng Dynamics in the controlled center manifolds by Hamiltonian structure-preserving stabilization. (English) Zbl 1394.37089 Chaos Solitons Fractals 112, 149-158 (2018). MSC: 37J25 70Q05 70F15 34H15 PDF BibTeX XML Cite \textit{T. Luo} et al., Chaos Solitons Fractals 112, 149--158 (2018; Zbl 1394.37089) Full Text: DOI
Araujo, Gerson Cruz; Cabral, Hildeberto E. Parametric stability in a P+2-body problem. (English) Zbl 1394.70035 J. Dyn. Differ. Equations 30, No. 2, 719-742 (2018). MSC: 70F15 37N05 70F07 PDF BibTeX XML Cite \textit{G. C. Araujo} and \textit{H. E. Cabral}, J. Dyn. Differ. Equations 30, No. 2, 719--742 (2018; Zbl 1394.70035) Full Text: DOI
Liu, Rongchang; Li, Jiangyuan; Yan, Duokui New periodic orbits in the planar equal-mass three-body problem. (English) Zbl 1439.70017 Discrete Contin. Dyn. Syst. 38, No. 4, 2187-2206 (2018). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F10 35A15 PDF BibTeX XML Cite \textit{R. Liu} et al., Discrete Contin. Dyn. Syst. 38, No. 4, 2187--2206 (2018; Zbl 1439.70017) Full Text: DOI