Application of high order expansions of two-point boundary value problems to astrodynamics

DOI10.1007/s10569-008-9170-5zbMath1223.70081OpenAlexW1993079227MaRDI QIDQ642249

Michelle Lavagna, Roberto Armellin, Pierluigi di Lizia

Publication date: 26 October 2011

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-008-9170-5

zbMATH Keywords

two-point boundary value problemdifferential algebrahalo orbitaerocapture

Mathematics Subject Classification ID

Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items (17)

Dealing with uncertainties in angles-only initial orbit determination ⋮ Orbital maneuver optimization using time-explicit power series ⋮ Symplectic adaptive algorithm for solving nonlinear two-point boundary value problems in astrodynamics ⋮ Stable sets mapping with Taylor differential algebra with application to ballistic capture orbits around Mars ⋮ Uncertainty propagation or box propagation ⋮ Element sets for high-order Poincaré mapping of perturbed Keplerian motion ⋮ Set propagation in dynamical systems with generalised polynomial algebra and its computational complexity ⋮ Numerical integration of high-order variational equations of ODEs ⋮ Application of high order expansions of two-point boundary value problems to astrodynamics ⋮ Earth-Mars halo to halo low thrust manifold transfers ⋮ Gravity assist space pruning based on differential algebra ⋮ A second-order solution to the two-point boundary value problem for rendezvous in eccentric orbits ⋮ Asteroid close encounters characterization using differential algebra: the case of apophis ⋮ Bounded motion design in the Earth zonal problem using differential algebra based normal form methods ⋮ Breaking the limits: The Taylor series method ⋮ Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting ⋮ Unconstrained direct optimization of spacecraft trajectories using many embedded Lambert problems

Uses Software

• Cosy

Cites Work

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• Application of high order expansions of two-point boundary value problems to astrodynamics
• A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics
• Dynamics in the center manifold of the collinear points of the restricted three-body problem
• Analytic construction of periodic orbits about the collinear points
• High-order expansions of invariant manifolds of libration point orbits with applications to mission design
• Dynamics and Mission Design Near Libration Points
• The dynamics around the collinear equilibrium points of the RTBP

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