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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

10.1016/0002-8703(53)90068-4

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ISSN

1572-9478

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Analytic estimates and topological properties of t

Authors: Marta Ceccaroni James Biggs Luca Biasco
Publish Date: 2012/05/15
Volume: 114, Issue: 1-2, Pages: 1-24
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Abstract

The weak stability boundary WSB is the transition region of the phase space where the change from gravitational escape to ballistic capture occurs Studies on this complicated region of chaotic motion aim to investigate its unique fuel saving properties to enlarge the frontiers of low energy transfers This “fuzzy stability” region is characterized by highly sensitive motion and any analysis of it has been carried out almost exclusively using numerical methods On the contrary this paper presents for the planar circular restricted 3body problem 1 an analytic definition of the WSB which is coherent with the known algorithmic definitions 2 a precise description of the topology of the WSB 3 analytic estimates on the “stable region” nearby the smaller primary whose boundary is by definition the WSB

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  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. Explicit algorithmic regularization in the few-body problem for velocity-dependent perturbations
  6. Tidal friction in close-in satellites and exoplanets: The Darwin theory re-visited
  7. Spacecraft trajectories to the L 3 point of the Sun–Earth three-body problem
  8. Dynamics of two satellites in the 2/1 Mean–Motion resonance: application to the case of Enceladus and Dione
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  10. Three-dimensional multi-tethered satellite formation with the elements moving along Lissajous curves
  11. Analysis of the Chaotic Behaviour of Orbits Diffusing along the Arnold Web
  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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