On the characteristic exponents of the general three-body problemA description is given of some properties of the characteristic exponents of the general three-body problem. The variational equations on which the analysis is based are obtained by linearizing the Lagrangian equations of motion in the neighborhood of a given known solution. Attention is given to the fundamental matrix of solutions, the characteristic equation, the three trivial solutions of the variational equations of the three-body problem, symmetric periodic orbits, and the half-period properties of symmetric periodic orbits.
Document ID
19770035261
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Broucke, R. (California Institute of Technology, Jet Propulsion Laboratory, Pasadena Calif., United States)