EQUIVALENCE OF ENERGY-TIME AND MOMENTUM-POSITION PHASE SPACES OF THE SOLAR-SYSTEM

Authors
Citation
S. Olszewski, EQUIVALENCE OF ENERGY-TIME AND MOMENTUM-POSITION PHASE SPACES OF THE SOLAR-SYSTEM, Earth, moon, and planets, 74(2), 1996, pp. 151-173
Citations number
10
Categorie Soggetti
Astronomy & Astrophysics","Geosciences, Interdisciplinary
Journal title
ISSN journal
01679295
Volume
74
Issue
2
Year of publication
1996
Pages
151 - 173
Database
ISI
SICI code
0167-9295(1996)74:2<151:EOEAMP>2.0.ZU;2-I
Abstract
In the first step, equivalence of energy-time and momentum-position ph ase spaces is discussed for simple periodic systems having a central f orce. The discussion concerns the phase-space areas taken as a whole, as well as their fragments. It is demonstrated that some fragments of the phase space areas can fit together with a considerable accuracy. T his suggests similar equivalence of the corresponding fragments of the phase-space areas of the solar system. The hypothesis is examined in respect to the planet orbits and the orbits of some planet satellites.