The LORF Orbit Equation with Full Quaternions
| Authors: | Andreis Davide, Politecnico di Torino, Italy
Canuto Enrico, Politecnico di Torino, Italy |
|---|
| Topic: | 7.3 Aerospace |
|---|
| Session: | Space Control |
|---|
| Keywords: | Aerospace Trajectories, Dynamic modeling, Continuous time systems, Nonlinear models, Artificial satellites, State space models |
|---|
Abstract
The Local Orbital Reference Frame (LORF) is a Cartesian frame tangential to the trajectory of an orbiting satellite. The orbital motion of the satellite entrains the movement of the LORF around an Inertial Reference Frame (IRF). In this paper, the classical orbit equations (written in terms of inertial position and velocity vectors) are transformed into the LORF orbit equations, by means of full quaternions. Simple application examples are presented.
