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Title of Journal: Celest Mech Dyn Astr

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Abbravation: Celestial Mechanics and Dynamical Astronomy

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Springer Netherlands

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1572-9478

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A note on the dynamics around the Lagrange colline

Authors: Yijun Lian Gerard Gómez Josep J Masdemont Guojian Tang
Publish Date: 2013/01/20
Volume: 115, Issue: 2, Pages: 185-211
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Abstract

In this paper we study the dynamics of a massless particle around the L 12 libration points of the Earth–Moon system in a full Solar System gravitational model The study is based on the analysis of the quasiperiodic solutions around the two collinear equilibrium points For the analysis and computation of the quasiperiodic orbits a new iterative algorithm is introduced which is a combination of a multiple shooting method with a refined Fourier analysis of the orbits computed with the multiple shooting Using as initial seeds for the algorithm the libration point orbits of Circular Restricted Three Body Problem determined by LindstedtPoincaré methods the procedure is able to refine them in the Solar System forcefield model for large timespans that cover most of the relevant Sun–Earth–Moon periods

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  2. A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics
  3. Single lunation N -observation orbits
  4. Explicit algorithmic regularization in the few-body problem for velocity-dependent perturbations
  5. Tidal friction in close-in satellites and exoplanets: The Darwin theory re-visited
  6. Spacecraft trajectories to the L 3 point of the Sun–Earth three-body problem
  7. Dynamics of two satellites in the 2/1 Mean–Motion resonance: application to the case of Enceladus and Dione
  8. The local standard of rest and the well in the velocity distribution
  9. Three-dimensional multi-tethered satellite formation with the elements moving along Lissajous curves
  10. Analysis of the Chaotic Behaviour of Orbits Diffusing along the Arnold Web
  11. Analytic estimates and topological properties of the weak stability boundary
  12. On constructing the general Earth’s rotation theory
  13. Secular tidal changes in lunar orbit and Earth rotation
  14. Bifurcating families around collinear libration points
  15. Sensitivity of the orbital content of a model stellar system to the potential approximation used to describe it
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