Formulation of equations of motion for complex spacecraft
Abstract
Seven methods of the formulation of motion equations for complex spacecraft are discussed: (1) the use of momentum principles, (2) D'Alembert principle, (3) Lagrange equations, (4) Hamilton's canonical equations, (5) the BoltzmannHamel equations, (6) the Gibbs equations, and (7) a method introduced by Kane and Wang in 1965. It is shown that the last method considered leads most directly to the simplest equations.
 Publication:

Journal of Guidance and Control
 Pub Date:
 April 1980
 Bibcode:
 1980JGC.....3...99K
 Keywords:

 Complex Systems;
 Equations Of Motion;
 Spacecraft Design;
 Angular Momentum;
 Boltzmann Transport Equation;
 EulerLagrange Equation;
 Gibbs Equations;
 Hamiltonian Functions;
 Inertia Principle;
 Astrodynamics