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Determination of motion from orbit in the threebody problem
1.  General Education Program Center, Tokai University, 317 Nishino, Numazu, Shizuoka 4100395, Japan 
2.  College of Liberal Arts and Sciences, Kitasato University, 1151 Kitasato, Minamiku, Sagamihara, Kanagawa 2520373, Japan, Japan 
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Hildeberto E. Cabral, Zhihong Xia. Subharmonic solutions in the restricted threebody problem. Discrete and Continuous Dynamical Systems, 1995, 1 (4) : 463474. doi: 10.3934/dcds.1995.1.463 
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Edward Belbruno. Random walk in the threebody problem and applications. Discrete and Continuous Dynamical Systems  S, 2008, 1 (4) : 519540. doi: 10.3934/dcdss.2008.1.519 
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Hadia H. Selim, Juan L. G. Guirao, Elbaz I. Abouelmagd. Libration points in the restricted threebody problem: Euler angles, existence and stability. Discrete and Continuous Dynamical Systems  S, 2019, 12 (4&5) : 703710. doi: 10.3934/dcdss.2019044 
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Richard Moeckel. A topological existence proof for the Schubart orbits in the collinear threebody problem. Discrete and Continuous Dynamical Systems  B, 2008, 10 (2&3, September) : 609620. doi: 10.3934/dcdsb.2008.10.609 
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Mitsuru Shibayama. Nonintegrability of the collinear threebody problem. Discrete and Continuous Dynamical Systems, 2011, 30 (1) : 299312. doi: 10.3934/dcds.2011.30.299 
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Jungsoo Kang. Some remarks on symmetric periodic orbits in the restricted threebody problem. Discrete and Continuous Dynamical Systems, 2014, 34 (12) : 52295245. doi: 10.3934/dcds.2014.34.5229 
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Richard Moeckel. A proof of Saari's conjecture for the threebody problem in $\R^d$. Discrete and Continuous Dynamical Systems  S, 2008, 1 (4) : 631646. doi: 10.3934/dcdss.2008.1.631 
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KuoChang Chen. On ChencinerMontgomery's orbit in the threebody problem. Discrete and Continuous Dynamical Systems, 2001, 7 (1) : 8590. doi: 10.3934/dcds.2001.7.85 
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Regina Martínez, Carles Simó. On the stability of the Lagrangian homographic solutions in a curved threebody problem on $\mathbb{S}^2$. Discrete and Continuous Dynamical Systems, 2013, 33 (3) : 11571175. doi: 10.3934/dcds.2013.33.1157 
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Xiaojun Chang, Tiancheng Ouyang, Duokui Yan. Linear stability of the crisscross orbit in the equalmass threebody problem. Discrete and Continuous Dynamical Systems, 2016, 36 (11) : 59715991. doi: 10.3934/dcds.2016062 
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Rongchang Liu, Jiangyuan Li, Duokui Yan. New periodic orbits in the planar equalmass threebody problem. Discrete and Continuous Dynamical Systems, 2018, 38 (4) : 21872206. doi: 10.3934/dcds.2018090 
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Niraj Pathak, V. O. Thomas, Elbaz I. Abouelmagd. The perturbed photogravitational restricted threebody problem: Analysis of resonant periodic orbits. Discrete and Continuous Dynamical Systems  S, 2019, 12 (4&5) : 849875. doi: 10.3934/dcdss.2019057 
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Samuel R. Kaplan, Mark Levi, Richard Montgomery. Making the moon reverse its orbit, or, stuttering in the planar threebody problem. Discrete and Continuous Dynamical Systems  B, 2008, 10 (2&3, September) : 569595. doi: 10.3934/dcdsb.2008.10.569 
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Tiancheng Ouyang, Duokui Yan. Variational properties and linear stabilities of spatial isosceles orbits in the equalmass threebody problem. Discrete and Continuous Dynamical Systems, 2017, 37 (7) : 39894018. doi: 10.3934/dcds.2017169 
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JeanBaptiste Caillau, Bilel Daoud, Joseph Gergaud. Discrete and differential homotopy in circular restricted threebody control. Conference Publications, 2011, 2011 (Special) : 229239. doi: 10.3934/proc.2011.2011.229 
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Frederic Gabern, Àngel Jorba, Philippe Robutel. On the accuracy of restricted threebody models for the Trojan motion. Discrete and Continuous Dynamical Systems, 2004, 11 (4) : 843854. doi: 10.3934/dcds.2004.11.843 
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Yongming Luo, Athanasios Stylianou. On 3d dipolar BoseEinstein condensates involving quantum fluctuations and threebody interactions. Discrete and Continuous Dynamical Systems  B, 2021, 26 (6) : 34553477. doi: 10.3934/dcdsb.2020239 
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NaiChia Chen. Symmetric periodic orbits in three subproblems of the $N$body problem. Discrete and Continuous Dynamical Systems  B, 2014, 19 (6) : 15231548. doi: 10.3934/dcdsb.2014.19.1523 
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