A geometric algebra formulation to verify the Milankovitch theory of climatic cycles

Abstract

This paper draws attention to a branch of mathematics called Geometric Algebra and its applications to celestial mechanics. Specifically, this work used Geometric Algebra to derive a set of approximate formulas for the rate of change of orbital elements (i.e. those pertaining to eccentricity, obliquity, and precession) of the earth. The corresponding set of differential equations were then numerically integrated and used to compute for the earth's orbital variations that span one million years. The results were used to confirm the Milankovitch theory climatic cycles.