Display Abstract

Title A new integrable extension of the 2 fixed centre problem

Name Alain Albouy
Country France
Email albouy@imcce.fr
Co-Author(s)
Submit Time 2014-02-28 15:53:47
Session
Special Session 15: Geometric and variational techniques in the N-body problem
Contents
The two fixed centres problem was proposed and solved by Euler around 1760. Lagrange was the first, in 1769, to propose a force field that can be added to Euler's one while keeping the integrability. Since that time, other extensions have been proposed. I will propose a new one. The integrability may be discovered through simple remarks about the quadratic first integrals.