AN EQUATION FOR THE CHARACTERISTIC CURVE OF A FAMILY OF SYMMETRICAL PERIODIC-ORBITS

Authors
BOZIS G ERDI B
Citation
G. Bozis et B. Erdi, AN EQUATION FOR THE CHARACTERISTIC CURVE OF A FAMILY OF SYMMETRICAL PERIODIC-ORBITS, Celestial mechanics & dynamical astronomy, 59(4), 1994, pp. 301-311
Citations number
NO
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Celestial mechanics & dynamical astronomy → ACNP
ISSN journal
09232958
Volume
59
Issue
4
Year of publication
1994
Pages
301 - 311
Database
ISI
SICI code
0923-2958(1994)59:4<301:AEFTCC>2.0.ZU;2-2
Abstract
Szebehely's equation for the inverse problem of Dynamics is used to ob tain the equation of the characteristic curve of a family f(x, y) = c of planar periodic orbits (crossing perpendicularly the x-axis) create d by a certain potential V(x, y). Analytic expressions for the charact eristic curves are found both in sideral and synodic systems. Examples are offered for both cases. It is shown also that from a given charac teristic curve, associated with a given potential, one can obtain an a nalytic expression for the slope of the orbit at any point.