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Found 1,065 Documents (Results 1–100)

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 07792086

Mech. Solids 58, No. 5, 1458-1482 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 5, 27-57 (2023).
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Averaged spatial circular restricted three-body problem: internal case and new results. (English. Russian original) Zbl 07786641

Dokl. Math. 108, No. 1, 269-276 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 33-41 (2023).
MSC:  70F07 70K65 70-08
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A database of high precision trivial choreographies for the planar three-body problem. (English) Zbl 1521.70013

Georgiev, Ivan (ed.) et al., Numerical methods and applications. 10th international conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13858, 171-180 (2023).
MSC:  70F07 65H10
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Study of secular perturbations in the restricted three-body problem of variable masses using computer algebra. (English. Russian original) Zbl 1514.70012

Comput. Math. Math. Phys. 63, No. 1, 115-125 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 1, 154-164 (2023).
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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
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Great Inequality of Jupiter and Saturn I: The Planetary Three Body Problem, Heliocentric development by Lagrange multipliers, Perturbation Theory Formulation. arXiv:2307.04810

Preprint, arXiv:2307.04810 [physics.class-ph] (2023).
MSC:  70F07 37J40
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On the Painlevé conjecture. (English) Zbl 1515.37003

Jerison, David (ed.) et al., Current developments in mathematics 2020. Papers based on selected lectures given at the current developments mathematics conference, Harvard University, Cambridge, MA, USA, January 2021. Somerville, MA: International Press. 157-206 (2022).
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Perturbation theory methods in problem of parametric resonance for linear periodic Hamiltonian systems. (Russian. English summary) Zbl 1502.70041

Ufim. Mat. Zh. 13, No. 3, 178-195 (2021); translation in Ufa Math. J. 13, No. 3, 174-190 (2021).
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