Complete course notes part 1

Pagina 1

Supplementary material Spacecraft Attitude Dynamics and Control Politecnico di Milano Prof. James Douglas Biggs Part 1: Attitude dynamics and kinematics Spacecraft Attitude Dynamics and Control Course notes 1 Note for the reader These short notes are in support of the course “Attitude dynamics and control”, they are not intended to replace any textbook or to cover exactly what is taught in class i.e there is additional material in the class not covered here and vice versa. Interested readers are encouraged to consult also printed textbooks and archival papers. Acknowledgments These notes are a new edition of previous class notes from Professor Franco Bernelli with the aid of Ivan Ferrario and Prof. Mauro Massari, former students of the class. Spacecraft Attitude Dynamics and Control Course notes 2 Index Fundamental quantities ........................................................................................................................ 3 Angular momentum of a rigid body ................................................................................................. 3 Inertia matrix .................................................................................................................................... 4 Rotation kinetic energy of a rigid body ........................................................................................... 5 Principal axes and principal inertia moments .................................................................................. 5 Inertia ellipsoid, kinetic energy ellipsoid, angular momentum ellipsoid ......................................... 7 Geometrical/graphical description of torque-free motion .................................................................. 10 Polhode and herpolhode…