Contact geometry of the restricted three‐body problem

By Peter Albers, Urs Frauenfelder, Otto van Koert, Gabriel P. Paternain. 2010

79 citations recorded by the source corpus.

We show that the planar circular restricted three‐body problem is of restricted contact type for all energies below the first critical value (action of the first Lagrange point) and for energies slightly above it. This opens up the possibility of using the technology of contact topology to understand this particular dynamical system. © 2011 Wiley Periodicals, Inc.

Subfields: Aerospace Engineering, Control and Systems Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6d189f24ff06592997b65e36f017ce015e318391

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Otto van Koert
2. Urs Frauenfelder

In Control and Systems Engineering

1. Otto van Koert
2. Urs Frauenfelder

In Statistical and Nonlinear Physics

1. Otto van Koert
2. Urs Frauenfelder

Citations in the corpus

• The Restricted Three-Body Problem and Holomorphic Curves (2018, methodology): “Apart from the fact that the dynamics of the restricted three body problem just below the first critical value can be interpreted as the Reeb flow of a starshaped hypersurface [9] the culprit is again the Lyapunov orbit which bifurcates out of the critical point.”