## Found 2,767 Documents (Results 1–100)

100
MathJax

### Integrability of close encounters in the spatial restricted three-body problem. (English)Zbl 07570841

MSC:  70F07 70F16 70H20
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### Computer assisted proof of drift orbits along normally hyperbolic manifolds. II: Application to the restricted three body problem. (English)Zbl 07526838

MSC:  37J25 37J40
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### Impact of a Moon on the evolution of a planet’s rotation axis: a non-resonant case. (English)Zbl 07525725

MSC:  70M20 70F07
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### Describing relative motion near periodic orbits via local toroidal coordinates. (English)Zbl 07525723

MSC:  70F07 70K43
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### Closed-form perturbation theory in the restricted three-body problem without relegation. (English)Zbl 07525720

MSC:  70F07 70K45
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### On Langmuir’s periodic orbit. (English)Zbl 07514048

MSC:  70F07 81S10
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### Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem. (English)Zbl 07496399

MSC:  37C29 37J46 70F07
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### Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem. (English)Zbl 07479719

MSC:  70F07 70G75 37J46
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### Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. (English)Zbl 1486.70053

MSC:  70F07 70K43 70F15
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### On the stability of satellites at unstable libration points of Sun-planet-Moon systems. (English)Zbl 07428013

MSC:  70F07 37N05 70K20
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### Transfers from the Earth to $$L_2$$ halo orbits in the Earth-Moon bicircular problem. (English)Zbl 1482.70010

MSC:  70F07 70F10 70H33
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### Numerical confirmation of the existence of triple collision orbits inside the domain of the free-fall three-body problem. (English)Zbl 1482.70017

MSC:  70F16 70F07
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MSC:  70F07
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### About the restricted three-body problem with the Schwarzschild-de Sitter potential. (English)Zbl 07446957

MSC:  70F15 70F07
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### 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

MSC:  70F07 70H05 70H14
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### High-order polynomial continuation method for trajectory design in non-Keplerian environments. (English)Zbl 07434921

MSC:  70F07 70K42
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### Triple collision orbits in the free-fall three-body system without binary collisions. (English)Zbl 07434919

MSC:  70F16 70F07
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### Stability analysis of apsidal alignment in double-averaged restricted elliptic three-body problem. (English)Zbl 07434918

MSC:  70F07 70F15 70H14
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### Energy-momentum conserving integration schemes for molecular dynamics. (English)Zbl 1479.74128

MSC:  74S20 74A25
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### An analytical model for tidal evolution in co-orbital systems. I: Application to exoplanets. (English)Zbl 07422588

MSC:  70M20 70K28 70F07
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MSC:  70F07
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MSC:  70F07
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### On the existence of symmetric bicircular central configurations of the $$3n$$-body problem. (English)Zbl 1476.70017

MSC:  70F07 70F15
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MSC:  70F07
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### Networks and bifurcations of eccentric orbits in exoplanetary systems. (English)Zbl 1477.70013

MSC:  70F07 37N05 37G10
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### 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).
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### Periodic solutions around the out-of-plane equilibrium points in the restricted three-body problem with radiation and angular velocity variation. (English)Zbl 1477.70011

Rassias, Themistocles M. (ed.) et al., Nonlinear analysis and global optimization. Cham: Springer. Springer Optim. Appl. 167, 251-275 (2021).
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### Floquet modes and stability analysis of periodic orbit-attitude solutions along Earth-Moon halo orbits. (English)Zbl 1472.70023

MSC:  70F07 70K20 70M20
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### Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem. (English)Zbl 1472.70026

MSC:  70F07 70K28
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### A new perturbative solution to the motion around triangular Lagrangian points in the elliptic restricted three-body problem. (English)Zbl 1481.70054

MSC:  70F07 37N05 70H09
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### Transit and capture in the planar three-body problem leveraging low-thrust invariant manifolds. (English)Zbl 1472.70024

MSC:  70F07 70H33
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### Outcomes of aspheric primaries in Robe’s circular restricted three-body problem. (English)Zbl 1477.37094

MSC:  37N05 70F07 70F15
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### Symbolic dynamics in the restricted elliptic isosceles three body problem. (English)Zbl 1478.37086

MSC:  37N05 37B10 70F07
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MSC:  70F07
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### 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
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### A study of the 1/2 retrograde resonance: periodic orbits and resonant capture. (English)Zbl 1466.70019

MSC:  70K28 70F07 70F15
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### Low-fuel transfers from Mars to quasi-satellite orbits around phobos exploiting manifolds of tori. (English)Zbl 1466.70041

MSC:  70P05 70F07
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### Flux-based statistical prediction of three-body outcomes. (English)Zbl 1466.70013

MSC:  70F07 62P35 82C40
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### Shannon entropy diffusion estimates: sensitivity on the parameters of the method. (English)Zbl 1466.70023

MSC:  70K55 70F07 70K28
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### Periodic solutions of a generalized Sitnikov problem. (English)Zbl 1466.70012

MSC:  70F07 70H12
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### Long-term evolution of orbital inclination due to third-body inclination. (English)Zbl 1466.70035

MSC:  70M20 70F07
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### Translational-rotational motions of a rod in the circular Sitnikov problem. (English. Russian original)Zbl 1465.70042

J. Math. Sci., New York 255, No. 6, 690-695 (2021); translation from Probl. Mat. Anal. 110, 13-18 (2021).
MSC:  70F07 70M20 74K10
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### Motion of a satellite in the circular three-body problem with light pressure. (English. Russian original)Zbl 1465.70040

J. Math. Sci., New York 255, No. 5, 616-622 (2021); translation from Probl. Mat. Anal. 109, 77-82 (2021).
MSC:  70F07 70M20
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### Periodic orbits. F. R. Moulton’s quest for a new lunar theory. (English)Zbl 1477.70002

History of Mathematics (Providence) 45. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5671-9/pbk; 978-1-4704-6508-7/ebook). xii, 255 p. (2021).

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### High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem. (English)Zbl 1477.70012

MSC:  70F07 34C45 37N05
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### Capturing a spacecraft around a flyby asteroid using Hamiltonian-structure-preserving control. (English)Zbl 1476.70088

MSC:  70Q05 70M20 70F07
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### Basins of convergence of equilibrium points in the restricted three-body problem with modified gravitational potential. (English)Zbl 1483.70032

MSC:  70F07 70F15 37N05
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### Periodic solution of the nonlinear Sitnikov restricted three-body problem. (English)Zbl 1474.70016

MSC:  70F07 70F15
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### Explicit symmetries of the Kepler Hamiltonian. (English)Zbl 1483.37066

Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 1. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 458, 38-56 (2020).
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### Tangential trapezoid central configurations. (English)Zbl 1482.70012

Reviewer: Xiang Yu (Chengdu)
MSC:  70F10 70F07 70F15
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### Asymptotic normalization coefficient method for two-proton radiative capture. (English)Zbl 1475.85013

MSC:  85A25 81V35 70F07
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### 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
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### On a new analytic theory of the Moon’s motion. II: Orbit and length of months. (English)Zbl 1477.70010

MSC:  70F07 70F15
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MSC:  70F07
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### Order-chaos-order and invariant manifolds in the bounded planar Earth-Moon system. (English)Zbl 1470.70016

MSC:  70F07 70F15 70H33
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### The contact geometry of the spatial circular restricted 3-body problem. (English)Zbl 1467.53087

MSC:  53D35 70F07 70G45
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### On normal coordinates in the vicinity of the Lagrangian libration points of the restricted elliptic three-body problem. (Russian. English summary)Zbl 1479.70050

MSC:  70H15 70F07
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### 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
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### Periodic solutions for $$N$$-body-type problems. (English)Zbl 1476.70024

MSC:  70F07 34C25
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### 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

### On a new analytic theory of the Moon’s motion. I: Orbital angular momentum. (English)Zbl 1476.70018

MSC:  70F07 70F15
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### Vertical motion of the variable infinitesimal mass in the circular Sitnikov problem. (English)Zbl 1476.70046

MSC:  70F15 70K42 70F07
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