Details

Autor(en) / Beteiligte

• Bolotin, S.
• MacKay, R. S.

Titel

Nonplanar Second Species Periodic and Chaotic Trajectories for the Circular Restricted Three-Body Problem

Ist Teil von

• Celestial mechanics and dynamical astronomy, 2006-04, Vol.94 (4), p.433-449

Ort / Verlag

Dordrecht: Springer Nature B.V

Erscheinungsjahr

2006

Quelle

2022 ECC(Springer)

Beschreibungen/Notizen

• For the circular restricted three-body problem of celestial mechanics with small secondary mass, we prove the existence of uniformly hyperbolic invariant sets of non-planar periodic and chaotic almost collision orbits. Poincaré conjectured existence of periodic ones and gave them the name "second species solutions". We obtain large subshifts of finite type containing solutions of this type.[PUBLICATION ABSTRACT]