A state transition matrix and a complete set of motion constants for the euler-poinsot problem Conference Paper uri icon

abstract

  • This paper complements some of the most classic presentations of Euler-Poinsot motion in two ways. Firstly, the state transition matrix for the attitude relative to an arbitrary inertial frame is presented. The state transition matrix elements are shown to be functions of common elliptic, circular, or hyperbolic functions of time depending on the motion state. Secondly, a complete set of time-independent integrals, here referred to as motion constants, are presented. The motion constants are functions involving the system's momentum and attitude states, and they are valid for any set of attitude coordinates. The process for developing these new results relies on knowing the solution for the orientation matrix relative to a special inertial frame that is intricately related to the angular momentum vector.

published proceedings

  • AIAA/AAS Astrodynamics Specialist Conference 2014

author list (cited authors)

  • Hurtado, J. E., & Sinclair, A. J.

complete list of authors

  • Hurtado, JE||Sinclair, AJ

publication date

  • January 2014