For more information about this meeting, contact Sergei Tabachnikov.

Title: | Second species solutions of the 3 body problem |

Seminar: | Department of Mathematics Colloquium |

Speaker: | S. Bolotin, University of Wisconsin and Moscow Steklov Mathematical Institute |

Abstract: |

Most of Poincare's work on Celestial Mechanics is about 3 body problem with two of the masses small, e.g. Sun and two planets. He named periodic orbits which encounter near collisions of small masses second species solutions. Such solutions shadow chains of collision orbits of two uncoupled Kepler problems. Levi-Civita regularization replaces double collisions of small masses by a 2-dimensional normally hyperbolic symplectic invariant manifold. Then description of almost collision orbits is reduced to dynamics of a skew product of a collection of symplectic maps defined in terms of the Kepler problem. We will see that in many cases this dynamics can be analyzed. |

### Room Reservation Information

Room Number: | MB114 |

Date: | 11 / 19 / 2009 |

Time: | 04:00pm - 05:00pm |