System of Particles | Dynamics, Energy & Momenta

Space Vehicle Dynamics, Lecture 9, part 2: Multi-particle systems 🌌 Modeling a system of N particles. Internal and external forces. Center of mass. Decomposing or resolving the motion of the center of mass compared to motion of system with respect to the center of mass. Total kinetic energy. Total potential energy. Total energy. Total angular momentum. Total linear momentum. Superparticle theorem. Space and astronomy examples. Rubble pile asteroids ☄️ Colliding galaxies.

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► Dr. Shane Ross, aerospace engineering professor, Virginia Tech
Background: Caltech PhD | worked at NASA JPL and Boeing
Research website for @ProfessorRoss

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► Lecture notes (PDF)

► All course videos (playlist)

► Reference:
Schaub & Junkins, Analytical Mechanics of Space Systems, 4th edition, 2018

- Typical reference frames in spacecraft dynamics
- Mission analysis basics: satellite geometry
- Kinematics of a single particle: rotating reference frames, transport theorem
- Dynamics of a single particle
- Multiparticle systems: kinematics and dynamics, definition of center of mass (c.o.m.)
- Multiparticle systems: motion decomposed into translational motion of c.o.m. and motion relative to the c.o.m.
- Multiparticle systems: imposing rigidity implies only motion relative to c.o.m. is rotation
- Rigid body: continuous mass systems and mass moments (total mass, c.o.m., moment of inertia tensor/matrix)
- Rigid body kinematics in 3D (rotation matrix and Euler angles)
- Rigid body dynamics; Newton's law for the translational motion and Euler’s rigid-body equations for the rotational motion
- Solving the Euler rotational differential equations of motion analytically in special cases
- Constants of motion: quantities conserved during motion, e.g., energy, momentum
- Visualization of a system’s motion
- Solving for motion computationally
- Other topics as time allows

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[MURATMETEHANTÜRKOĞLU]

The way of teaching is excellent. It is a very pedagogical and inclusive way of expression. Thank you so much for everything