Accession Number:

AD0711619

Title:

A NEW METHOD FOR ESTABLISHING THE EXISTENCE OF ANALYTIC FUNCTIONS. III. GENERIC STABILITY OF HAMILTONIAN SYSTEMS.

Descriptive Note:

Technical rept.,

Corporate Author:

CALIFORNIA UNIV BERKELEY SPACE SCIENCES LAB

Personal Author(s):

• Diliberto,Stephen P.

Report Date:

1970-08-01

Pagination or Media Count:

28.0

Abstract:

It is proved that near a singular point or a periodic solution of a Hamiltonian system with an arbitrary number of degrees of freedom the system is stable for almost all the cases if it is stable in the first approximation. This stability is established in the following strong sense Near the singular point or periodic solution the entire neighborhood is filled in a smooth way with families of concentric periodic surfaces. The results are for analytic systems only. Author

Descriptors:

• (*ANALYTIC FUNCTIONS
• THEOREMS)
• (*N BODY PROBLEM
• STABILITY)
• CELESTIAL MECHANICS
• TRANSFORMATIONS(MATHEMATICS)
• POWER SERIES
• HAMILTONIAN
• CONVERGENCE

Subject Categories:

• Celestial Mechanics
• Numerical Mathematics
• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE