Tycho

Tycho is a MATLAB package for mission analysis and ADCS applications.
It is composed of four sub-packages:
a) an orbits toolbox which implements basic Keplerian and generalized orbit functions (physical state to Keplerian parameters and generalized parameters, time to true anomaly, etc.). It also implements tools to design impulsive maneuvers to change any of the five applicable Keplerian parameters. A dedicated function exports orbits as .xyzv Celestia files.
b) a perturbations toolbox that allows to numerically assess the effect of arbitrary perturbations by integrating Gauss equations. Atmospheric drag, Sun pressure and J2 gravity potential are implemented.
c) a rendez-vous and docking module that uses Clohessy-Wiltshire equations to optimize rendez-vous and docking maneuvers, assess the effect of the target's gravity field and analyze the effect of position and velocity uncertanties.
d) a Simulink ADCS simulator with a focus on control law design.