Intersecting invariant manifolds in spatial restricted three-body problems: design and optimization of Earth-to-halo transfers in the Sun-Earth-Moon scenario

DOI10.1016/j.cnsns.2011.06.032zbMath1242.70019OpenAlexW2142173980MaRDI QIDQ430350

Roberto Castelli, Michael Dellnitz, G. Mingotti, Anna Zanzottera

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.06.032

zbMATH Keywords

invariant manifoldstrajectory optimizationhalo orbitsthree-body problemsbicircular modelbox covering

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (15)

Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem ⋮ On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem ⋮ End-to-end trajectory concept for close exploration of Saturn's inner large moons ⋮ Invariant manifolds of a non-autonomous quasi-bicircular problem computed via the parameterization method ⋮ Gravitational lunar capture based on bicircular model in restricted four body problem. ⋮ Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics ⋮ Analytical study on the motions around equilibrium points of restricted four-body problem ⋮ Fast numerical approximation of invariant manifolds in the circular restricted three-body problem ⋮ Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation ⋮ Transfers to lunar libration point orbits ⋮ Transfers between libration point orbits of Sun-Earth and Earth-Moon systems by using invariant manifolds ⋮ Efficient representation of invariant manifolds of periodic orbits in the CRTBP ⋮ Recurrence quantity analysis based on singular value decomposition ⋮ High-order solutions around triangular libration points in the elliptic restricted three-body problem and applications to low energy transfers ⋮ Transits close to the Lagrangian solutions L ₁, L ₂ in the elliptic restricted three-body problem

Uses Software

• SNOPT
• GAIO

Cites Work

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• Efficient invariant-manifold, low-thrust planar trajectories to the Moon
• Computation of weak stability boundaries: Sun-Jupiter system
• On target for Venus -- set oriented computation of energy efficient low thrust trajectories
• Weak stability boundary trajectories for the deployment of lunar spacecraft constellations
• A note on weak stability boundaries
• Sun-perturbed Earth-to-Moon transfers with low energy and moderate flight time
• Computation of low energy Earth-to-Moon transfers with moderate flight time
• Survey of Numerical Methods for Trajectory Optimization
• Optimal, Low-Thrust, Earth-Moon Orbit Transfer
• Discrete approximations to optimal trajectories using direct transcription and nonlinear programming
• Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
• Connecting orbits and invariant manifolds in the spatial restricted three-body problem
• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
• On the dynamics of weak stability boundary lunar transfers
• Low energy transfer to the Moon

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