Resonancias de primer orden con Urano
Abstract
In our Solar System is very frequent to find the relation 3:2 or 2:3 between two mean motions of planets and asteroids. In this paper, we have investigated the dynamical behaviour of minor planets into the zone determinated by the 2:3 relation whith Uranus. The critical values of mean motion and semimajor axis are n=0.0077814 and a= 25.221112 AU. As first aproximation to study that zone, we have integrated numerically the system of motion equations for fictitious asteroids. We have considered a planar system with four perturbators: Jupiter, Saturn, Uranus and Neptune. The results show us that the region is very unstable for objects of initial high eccentricity (e=0.5). On the other side, when the eccentricity is similar to the planetary one (e=0.05), we can observe orbital stability during the integration time. However, if we plot 1/a vs. an phase angle (Fernández and López García, Earth, Moon and Planets 77: 73-81. (1997-1999)), we can see that the orbit of the object suffers strong changes of energy which will cause the object scape from the zone. The analysis of the critical argument shows us that there is not capture in resonance. This analysis was done to the 7066 Nessus asteroid too, which is near to the resonance, although with high inclination. Considering the planar model, the obtained results show us a very unstable orbit.
- Publication:
-
Boletin de la Asociacion Argentina de Astronomia La Plata Argentina
- Pub Date:
- 1999
- Bibcode:
- 1999BAAA...43...15F