The nonlinear interaction of the planetary gravitational field on earthquakes
Abstract
Researches, which refer to triggering of earthquakes, do not take into account the interactions of the gravitation of the planets. Despite the very weak effects of the interaction, an influence of the gravitation cannot always be neglected, specifically in critical conditions in the earth's crust before an earthquake. Tensions in the earth's crust are mostly the cause of earthquakes. If these tensions are in a critical condition, then also the fluctuations of the planetary gravitational field can cause these vibrations. Compared with other interactive forces, the weak fluctuations of the gravitation can only have an effect, if they are considered and observed as a "stimulationfield" over a long period of time. Indeed the system of the planets is very stable. The orbits of the big planets are very stable during millions of years. In addition to this, there is another important circumstance: the orbits of the planets lie almost on the same level. They represent natural oscillators on a big scale. Such a rhythm or such duration of vibration is determined by the time period from conjunction to conjunction of two planets. These are relatively stable frequencies. A nonlinear correlation function forms a good way of describing these processes. H_{ij} = a_1 cos(α_{ij}) + a_2 cos(2α_{ij}) + a_3 cos(3α_{ij}) + ... (α is the angle between planets i and j) It can be shown that this correlation function can also be interpreted as a nonlinear interaction of the planetary fluctuations of the gravitational field with material structures. The vibrations of the planetary gravitational field lead to higher vibrations, to higher harmonics, in material structures. The problems of the correlation function are the coefficients a_k and the meaning of H_{ij}. In my researches I restricted myself to the polar qualities which are associated with the concepts of "stability" and "instability". The change from stable to unstable conditions and vice versa, can be observed in the evolution of many complex systems. Statistical researches will be presented and show this nonlinear influence.
 Publication:

EGS  AGU  EUG Joint Assembly
 Pub Date:
 April 2003
 Bibcode:
 2003EAEJA.....1319N