scientific article; zbMATH DE number 1014957

Josep J. Masdemont, Carles Simó, Àngel Jorba, Gerard Gomez

Publication date: 23 March 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Moon spacecraft restricted four-body problem Earth Sun space missions stability zones

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Orbital mechanics (70M20)

Related Items

The web of resonant periodic orbits in the Earth-Moon quasi-bicircular problem including solar radiation pressure ⋮ Fuel optimization for low-thrust Earth-Moon transfer via indirect optimal control ⋮ Weak stability boundary trajectories for the deployment of lunar spacecraft constellations ⋮ A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics ⋮ Earth-Mars transfers with ballistic escape and low-thrust capture ⋮ Extension of fast periodic transfer orbits from the Earth-Moon RTBP to the Sun-Earth-Moon quasi-bicircular problem ⋮ Invariant manifolds of a non-autonomous quasi-bicircular problem computed via the parameterization method ⋮ The vicinity of Earth-Moon \(L_1\) and \(L_2\) in the Hill restricted 4-body problem ⋮ Low-thrust station-keeping control for lunar near rectilinear halo orbits ⋮ Invariant manifolds near \(L_1\) and \(L_2\) in the quasi-bicircular problem ⋮ Gravitational lunar capture based on bicircular model in restricted four body problem. ⋮ Regions of prevalence in the coupled restricted three-body problems approximation ⋮ Efficient invariant-manifold, low-thrust planar trajectories to the Moon ⋮ Exploring the Location and Linear Stability of the Equilibrium Points in the Equilateral Restricted Four-Body Problem ⋮ Transfers to lunar libration point orbits ⋮ Single impulsive transfer to the Earth-Moon triangular point L\(_4\) in a bicircular model ⋮ Transport and invariant manifolds near \(L_3\) in the Earth-Moon bicircular model ⋮ Numerical integration of high-order variational equations of ODEs ⋮ Low-energy, low-thrust transfers to the Moon ⋮ Transfers from distant retrograde orbits to low lunar orbits ⋮ Numerical computation of normal forms around some periodic orbits of the restricted three-body problem ⋮ On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure ⋮ On the stability of satellites at unstable libration points of Sun-planet-Moon systems ⋮ Dynamical aspects of an equilateral restricted four-body problem ⋮ The vicinity of the Earth-Moon \(L_1\) point in the bicircular problem ⋮ Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. ⋮ 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 ⋮ Families of Halo-like invariant tori around \(L_2\) in the Earth-Moon bicircular problem ⋮ Using invariant manifolds to capture an asteroid near the \(L_3\) point of the Earth-Moon bicircular model ⋮ Transfers from the Earth to \(L_2\) halo orbits in the Earth-Moon bicircular problem ⋮ Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems ⋮ Optimization of Low-Energy Transfers ⋮ Practical Stability Domains Near L 4,5 in the Restricted Three-Body Problem: Some Preliminary Facts