A New Determination of the Fundamental Frequencies in our Solar System

Autor(en)
Christoph Lhotka, Rudolf Dvorak
Abstrakt

In this investigation we integrated the orbits of the planets of our Solar System for 1 billion of years (-500 million back and 500 million into the future) based on the Newtonian model of the Solar System including the 8 major planets Mercury to Neptune. For the integration we used the very stable and highly precise Lie-Integration method. The output of the simulation were the osculating orbital elements, stored every 66,6 years. We transformed the data set to Laplace-Lagrange variables and analyzed it using windowed Fourier transformation with a window size of 10 million years, overlapping with 1 million years. In this paper we present the minimum and maximum values of the orbital elements of the planets and give the time varying fundamental frequencies of all eight planets.

Organisation(en)
Institut für Astrophysik
Seiten
33-46
Anzahl der Seiten
14
Publikationsdatum
2006
ÖFOS 2012
103003 Astronomie
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/01a803e5-3756-44e7-b32a-6935c5e7e4e0