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Title of Journal: Celestial Mech Dyn Astr

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Abbravation: Celestial Mechanics and Dynamical Astronomy

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Kluwer Academic Publishers

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DOI

10.1007/bf02520951

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1572-9478

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A sixthorder accurate scheme for solving twopoin

Authors: Roberto Armellin Francesco Topputo
Publish Date: 2006/10/27
Volume: 96, Issue: 3-4, Pages: 289-309
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Abstract

A sixthorder accurate scheme is presented for the solution of ODE systems supplemented by twopoint boundary conditions The proposed integration scheme is a linear multipoint method of sixthorder accuracy successfully used in fluid dynamics and implemented for the first time in astrodynamics applications A discretization molecule made up of just four grid points attains a Oh 6 accuracy which is beyond the first Dahlquist’s stability barrier Astrodynamics applications concern the computation of libration point halo orbits in the restricted three and fourbody models and the design of an optimal control strategy for a low thrust libration point mission

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Other Papers In This Journal:
  1. A note on the dynamics around the Lagrange collinear points of the Earth–Moon system in a complete Solar System model
  2. Universal unfolding of symmetric resonances
  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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