Attitude Control Systems

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Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Space Mission Design and Operations

Covers space mission design, spacecraft energy, orbits, and maneuvers, including gravity effects, tethers, and interplanetary trajectories.

Spacecraft Electrical Power Source

Explores spacecraft electrical power sources, including solar panels, batteries, fuel cells, and radioisotope generators, with examples from past space missions.

Geometric Transformations Compositions

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Rotations (2D): Definitions and Analytical Expressions

Covers the concept of 2D rotations and their analytical expressions.

Hamiltonian Formalism: Conservation Laws

Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.

Rotations: Angular Momentum

Covers angular momentum in rotations, including preservation of angles and vector products.

Acceleration and Rotation

Explores acceleration derivation, vector rotation, and coordinate systems in rotational motion.

Symmetries in Mechanics and Wave Equations

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Space Tethers: Applications and Concepts

Explores space tethers, their applications, and the Space Shuttle program.