The Monotonicity of the Apsidal Angle Using the Theory of Potential Oscillators
In a central force system the angle between two successive passages of a body through pericenters is called the apsidal angle. In this paper we prove that for central forces of the form f ( r ) ∼ λ r - ( α + 1 ) with α < 2 the apsidal angle is a monotonous function of the energy, or equivalently...
Gespeichert in:
| Veröffentlicht in: | Qualitative theory of dynamical systems 2018-10, Vol.17 (3), p.631-635 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In a central force system the angle between two successive passages of a body through pericenters is called the apsidal angle. In this paper we prove that for central forces of the form
f
(
r
)
∼
λ
r
-
(
α
+
1
)
with
α
<
2
the apsidal angle is a monotonous function of the energy, or equivalently of the orbital eccentricity. |
|---|---|
| ISSN: | 1575-5460 1662-3592 |
| DOI: | 10.1007/s12346-017-0265-9 |