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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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DOI

10.1016/0166-2236(83)90117-0

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ISSN

1572-9478

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Explicit algorithmic regularization in the fewbod

Authors: Christian Hellström Seppo Mikkola
Publish Date: 2010/01/26
Volume: 106, Issue: 2, Pages: 143-156
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Abstract

A new algorithm is presented for the numerical integration of secondorder ordinary differential equations with perturbations that depend on the first derivative of the dependent variables with respect to the independent variable it is especially designed for fewbody problems with velocitydependent perturbations The algorithm can be used within extrapolation methods for enhanced accuracy and it is fully explicit which makes it a competitive alternative to standard discretization methods

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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. A sixth-order accurate scheme for solving two-point boundary value problems in astrodynamics
  4. Single lunation N -observation orbits
  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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