Skip to main content
SpringerLink
Log in

Periodic Orbits, Symbolic Dynamics and Topological Entropy for the Restricted 3-Body Problem

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

This paper concerns the restricted 3-body problem. By applying topological methods we give a computer assisted proof of the existence of some classes of periodic orbits, the existence of symbolic dynamics and we give a rigorous lower estimate for the topological entropy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Dipartimento di Scienze e T.A., C.so Borsalino 54, 15100 Alessandria, Italy. E-mail: gianni@unipmn.it, , , , , , IT

    Gianni Arioli

Authors
  1. Gianni Arioli
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 16 October 2001 / Accepted: 2 February 2002

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arioli, G. Periodic Orbits, Symbolic Dynamics and Topological Entropy for the Restricted 3-Body Problem. Commun. Math. Phys. 231, 1–24 (2002). https://doi.org/10.1007/s00220-002-0666-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00220-002-0666-7

Keywords

Search

Navigation