Dynamics around the Earth-Moon triangular points in the Hill restricted 4-body problem. (English) Zbl 07917709
MSC:
70F10
Found 37 Documents (Results 1–37)
Low-energy Earth-Moon transfers via theory of functional connections and homotopy. (English) Zbl 07881851
The vicinity of Earth-Moon \(L_1\) and \(L_2\) in the Hill restricted 4-body problem. (English) Zbl 1534.70028
Invariant manifolds near \(L_1\) and \(L_2\) in the quasi-bicircular problem. (English) Zbl 1540.70019
Computational methods in perturbation theory. (English) Zbl 07907929
Gaeta, Giuseppe (ed.), Perturbation theory. Mathematics, methods and applications. New York, NY: Springer; Springer Reference. Encycl. Complex. Syst. Sci. Ser., 153-165 (2022).
The web of resonant periodic orbits in the Earth-Moon quasi-bicircular problem including solar radiation pressure. (English) Zbl 1508.70021
Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. (English) Zbl 1486.70053
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
On the stability of satellites at unstable libration points of Sun-planet-Moon systems. (English) Zbl 1493.70051
Transfers from the Earth to \(L_2\) halo orbits in the Earth-Moon bicircular problem. (English) Zbl 1482.70010
On the equilibria of the planar equilateral restricted four-body problem with radiation pressure. (English) Zbl 1488.70014
Using invariant manifolds to capture an asteroid near the \(L_3\) point of the Earth-Moon bicircular model. (English) Zbl 1477.70045
Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem. (English) Zbl 1472.70032
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
Transport and invariant manifolds near \(L_3\) in the Earth-Moon bicircular model. (English) Zbl 1476.70019
Single impulsive transfer to the Earth-Moon triangular point L\(_4\) in a bicircular model. (English) Zbl 1484.70024
Exploring the location and linear stability of the equilibrium points in the equilateral restricted four-body problem. (English) Zbl 1460.70010
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 1454.70007
Fuel optimization for low-thrust Earth-Moon transfer via indirect optimal control. (English) Zbl 1390.70024
Invariant manifolds of a non-autonomous quasi-bicircular problem computed via the parameterization method. (English) Zbl 1400.70028
Gravitational lunar capture based on bicircular model in restricted four body problem. (English) Zbl 1415.70028
MSC:
70F10
Optimization of low-energy transfers. (English) Zbl 1365.70038
Fasano, Giorgio (ed.) et al., Modeling and optimization in space engineering. New York, NY: Springer (ISBN 978-1-4614-4468-8/hbk; 978-1-4614-4469-5/ebook). Springer Optimization and Its Applications 73, 389-404 (2013).
Practical stability domains near \(L_{4,5}\) in the restricted three-body problem: some preliminary facts. (English) Zbl 1305.70021
Ibáñez, Santiago (ed.) et al., Progress and challenges in dynamical systems. Proceedings of the international conference “Dynamical systems: 100 years after Poincaré”, Gijón, Spain, September 3–7, 2012. Berlin: Springer (ISBN 978-3-642-38829-3/hbk; 978-3-642-40137-4/ebook). Springer Proceedings in Mathematics & Statistics 54, 367-382 (2013).
Reviewer: Nina A. Solovaya (Bratislava)
Efficient invariant-manifold, low-thrust planar trajectories to the Moon. (English) Zbl 1242.70022
MSC:
70F15
Regions of prevalence in the coupled restricted three-body problems approximation. (English) Zbl 1242.70018
MSC:
70F07
Extension of fast periodic transfer orbits from the Earth-Moon RTBP to the Sun-Earth-Moon quasi-bicircular problem. (English) Zbl 1254.70040
A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics. (English) Zbl 1116.70005
Weak stability boundary trajectories for the deployment of lunar spacecraft constellations. (English) Zbl 1219.70065
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