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Google Cloud Training, Hanspeter Schaub, and Kevin Lynch

Spacecraft Dynamics and Control covers three core topic areas: the description of the motion and rates of motion of rigid bodies (Kinematics), developing the equations of motion that prediction the movement of rigid bodies taking into account mass, torque, and inertia (Kinetics), and finally non-linear controls to program specific orientations and achieve precise aiming goals in three-dimensional space (Control). The specialization invites learners to develop competency in these three areas through targeted content delivery, continuous concept reinforcement, and project applications.

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Spacecraft Dynamics and Control covers three core topic areas: the description of the motion and rates of motion of rigid bodies (Kinematics), developing the equations of motion that prediction the movement of rigid bodies taking into account mass, torque, and inertia (Kinetics), and finally non-linear controls to program specific orientations and achieve precise aiming goals in three-dimensional space (Control). The specialization invites learners to develop competency in these three areas through targeted content delivery, continuous concept reinforcement, and project applications.

The goal of the specialization is to introduce the theories related to spacecraft dynamics and control. This includes the three-dimensional description of orientation, creating the dynamical rotation models, as well as the feedback control development to achieve desired attitude trajectories.

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What's inside

Four courses

Kinematics: Describing the Motions of Spacecraft

(0 hours)
The movement of bodies in space must be predicted and controlled with precision. Kinematics is a field that develops descriptions and predictions of the motion of these bodies in 3D space. This course covers particle kinematics, rigid body kinematics, and static attitude determination.

Kinetics: Studying Spacecraft Motion

(0 hours)
As they tumble through space, spacecraft move in dynamical ways. Understanding the equations that represent that motion is critical to spacecraft mission development. This course trains your skills in topics like rigid body angular momentum and kinetic energy expression, single and dual rigid body systems tumbling without external torque, and how differential gravity across a rigid body is approximated to study disturbances in both the attitude and orbital motion.

Control of Nonlinear Spacecraft Attitude Motion

(0 hours)
This course trains you in the skills needed to program specific orientation and achieve precise aiming goals for spacecraft moving through three dimensional space. We cover stability definitions of nonlinear dynamical systems, analyze and apply Lyapunov's Direct Method to prove these stability properties, and develop a nonlinear 3-axis attitude pointing control law using Lyapunov theory.

Spacecraft Dynamics Capstone: Mars Mission

The goal of this capstone spacecraft dynamics project is to employ the skills developed in the rigid body Kinematics, Kinetics and Control courses. An exciting two-spacecraft mission to Mars is considered where a primary mother craft is in communication with a daughter vehicle in another orbit.

Learning objectives

  • Apply transport theorem to differentiate vectors, derive frame dependent velocity and acceleration vectors, and solve kinematic particle problems,
  • Translate between sets of attitude descriptions; add and subtract relative attitude descriptions for the movement of rigid bodies
  • Apply the static stability conditions of a dual-spinner configuration to derive equations of motion for rigid bodies with momentum exchange devices
  • Apply lyapunov method to argue stability and convergence on a range of systems, analyze rigid body control convergence with unmodeled torque

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