Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem
@article{Tantardini2010SpacecraftTT, title={Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem}, author={Marco Tantardini and Elena Fantino and Yuan Ren and Pierpaolo Pergola and Gerard G{\'o}mez and Josep J. Masdemont}, journal={Celestial Mechanics and Dynamical Astronomy}, year={2010}, volume={108}, pages={215-232} }
Of the three collinear libration points of the Sun–Earth Circular Restricted Three-Body Problem (CR3BP), L3 is that located opposite to the Earth with respect to the Sun and approximately at the same heliocentric distance. Whereas several space missions have been launched to the other two collinear equilibrium points, i.e., L1 and L2, taking advantage of their dynamical and geometrical characteristics, the region around L3 is so far unexploited. This is essentially due to the severe…
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References
SHOWING 1-10 OF 12 REFERENCES
Transfer strategies to the L3 libration point of the Sun-Earth system
- Physics
- 2009
In this contribution, we investigate several trajectory design methods to transfer a spacecraft to the L3 point of the Sun-Earth Circular Restricted 3-Body Problem (CR3BP). Such a study aims at…
Transfer to the Collinear Libration Point L3 in the Sun-Earth+Moon System
- Physics
- 2007
The collinear libration point L3 of the sun-earth+moon system is an ideal place for some space missions. Although there has been a great amount of work concerning the applications of the other two…
Connecting orbits and invariant manifolds in the spatial three-body problem
- Physics
- 2004
The invariant manifold structures of the collinear libration points for the restricted three-body problem provide the framework for understanding transport phenomena from a geometric point of view.…
Connecting orbits and invariant manifolds in the spatial restricted three-body problem
- Physics
- 2004
The invariant manifold structures of the collinear libration points for the restricted three-body problem provide the framework for understanding transport phenomena from a geometrical point of view.…
Low-Thrust Variable-Specific-Impulse Transfers and Guidance to Unstable Periodic Orbits
- Physics
- 2005
The use of a power-limited, variable-specific-impulse propulsion system to transfer a vehicle from the smaller primary to an arbitrary circular restricted three-body trajectory and the subsequent…
Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics.
- PhysicsChaos
- 2000
The main new technical result in this paper is the numerical demonstration of the existence of a heteroclinic connection between pairs of periodic orbits: one around the libration point L(1) and the other around L(2), with the two periodic orbits having the same energy.
Invariant manifolds of L3 and horseshoe motion in the restricted three-body problem
- Mathematics
- 2006
In this paper, we consider horseshoe motion in the planar restricted three-body problem. On one hand, we deal with the families of horseshoe periodic orbits (HPOs) (which surround three equilibrium…
Genesis mission design
- Physics
- 1998
The Genesis spacecraft will collect solar wind samples from a halo orbit about the Sun-Earth L1 point for two years, returning those samples to Earth in 2003 for analysis and examination. The solar…
Fundamentals of Astrodynamics and Applications
- Physics
- 1997
1. Equations of Motion. 2. Kepler's Equation and Kepler's Problem. 3. Coordinate and Time Systems. 4. Observations. 5. Celestial Phenomena. 6. Orbital Maneuvering. 7. Initial Orbit Determination. 8.…
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
- Computer ScienceSIAM J. Optim.
- 2002
An SQP algorithm that uses a smooth augmented Lagrangian merit function and makes explicit provision for infeasibility in the original problem and the QP subproblems is discussed and a reduced-Hessian semidefinite QP solver (SQOPT) is discussed.