# A.2 Caltech and the Earthbyte Project

*Use of Equation 2 relating the Circumferential Stress to the Radius of Eccentricity*

**Title of publication** – An analysis of the effects of Angular Momentum and Tectonic Plate Movement

### Abstract

The Earth’s center of gravity is dynamic, and its location varies based on exertions of mass on the crust on behalf of continental plates. These shifts, however minute, over a long enough period of time have significant influence on periodic axial rotation, convection cell dynamics, and continental rotation. This investigation considers a number of dimensions influenced by dynamic changes in rotation, angular momentum and gravitational influence through the use of mathematical modelling of the Earth’s rotation using an Euler-Liouville formula as described by Akulenko ^{57.} in 2007, the variations in the Earth’s periodicity of acceleration by the application of a Morlet wavelet transform proposed by Duhau^{58 }in 2006, a geographic information system with raster data visualization capabilities and plate tectonic reconstruction software that was developed by an international team from the Earthbyte Project, the Geological and Planetary Sciences Division at Caltech, and the Center for Geodynamics at the Norwegian Geological Survey: and a modified form of the equation for the center of mass of an obsculating sphere as used by Maurer 2001^{45}.

The results of this modelling show that seismic activity and tectonic activity increase with fluctuating periods of acceleration in the Earth’s rotational velocity, and that the aggregation of plates has a significant impact on the Earth’s centre of mass, confirming the hypothesis that gradual changes in the Earth’s rotational axis and velocity, largely ignored in plate tectonics, have a significant impact on seismic events and tectonic movement.

**Fig 34**

**CALTEC-Earthbyte Project used Equation 2 to derive this table**