The Hormander index of symmetric periodic orbits

作者：Frauenfelder Urs; van Koert Otto^*

来源：Geometriae Dedicata, 2014, 168(1): 197-205.

DOI：10.1007/s10711-012-9825-y

• Lagrangian intersections
• Maslov index
• Hamiltonian systems
• Restricted three-body problem

A symmetric periodic orbit is a special kind of periodic orbit that can also be regarded as a Lagrangian intersection point. Therefore it has two Maslov indices whose difference is the Hormander index. In this paper we provide a formula for the Hormander index of a symmetric periodic orbit and its iterates in terms of Chebyshev polynomials.

• 出版日期2014-2