On the Accuracy of a 1U Cube-Sat on Low Orbit Depending on Extended Kalman Filter Algorithm in Mathematical Dual Space Transformation Formulas

Warshnine Barry^1,*

¹University of Debrecen, Department of Mathematical and Computational Science, Debrecen, Hungary

Email: warshinabarrykurd@gmail.com

Abstract

The objective of this paper is to study and analyze the accuracy of 1 U cube-sat on low orbit by using the mathematical novel space of dual (non real) representation numbers and with Extended Kalman filter algorithm. Also, we analyze the numerical results and compare its dual representation with the classical representation by using the formulas of projective duality of spaces between dual case and classical case.

Keywords: Cube-sat; Kalman Algorithm; Orbit; Estimation; Dual space; Dual residue