SECTIONAL CURVATURE IN THE DYNAMICS OF GRAVITATIONAL SYSTEMS

Authors
SZYDLOWSKI M
Citation
M. Szydlowski, SECTIONAL CURVATURE IN THE DYNAMICS OF GRAVITATIONAL SYSTEMS, Physics letters. A, 201(1), 1995, pp. 19-26
Citations number
26
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
201
Issue
1
Year of publication
1995
Pages
19 - 26
Database
ISI
SICI code
0375-9601(1995)201:1<19:SCITDO>2.0.ZU;2-#
Abstract
In this work we focus on mathematical aspects of determining local ins tability by using invariant characteristics of an internal Riemannian geometry with a Jacobi metric. We give formulae for determining the si gn of the sectional curvature and the separation rate of nearby trajec tories for systems with a natural Lagrangian. We apply this to N-body systems.