Coordinate Frames, Rotating Frames | Transport Theorem Introduced | Cylindrical, Spherical Frames скачать в хорошем качестве

Coordinate Frames, Rotating Frames | Transport Theorem Introduced | Cylindrical, Spherical Frames

Space Vehicle Dynamics, Lecture 3: Coordinate frames, rotating frame details 📡 Transport theorem introduced. The cylindrical coordinate frame and spherical coordinate frame in 3D are introduced, as well as more general frames, such as a one attached to a rigid body. The kinematics of rigid bodies is the same as kinematics of coordinate frames, where we mean a triad of unit vectors forming a right-handed coordinate system. ► Next, Transport theorem worked examples | frames that are rotating and translating    • Transport Theorem Worked Examples | Vector...   ► Previous, typical reference frames for satellite dynamics, satellite viewing geometry, and mission analysis    • Satellite Reference Frames, Viewing Geomet...   ► More lectures to be posted regularly To be informed, subscribe https://is.gd/RossLabSubscribe​ ► Dr. Shane Ross, Virginia Tech professor of aerospace engineering (Caltech PhD) Research website for ‪@ProfessorRoss‬ http://shaneross.com ► Follow me on Twitter   / rossdynamicslab   ► Lecture notes (PDF) 📡🌌 https://drive.google.com/drive/folder... ► Space Vehicle Dynamics course videos (playlist)    • Spacecraft Attitude Dynamics & Control | O...   ► Reference: Schaub & Junkins, Analytical Mechanics of Space Systems, 4th edition, 2018 https://arc.aiaa.org/doi/book/10.2514... ► Topics to be Covered 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 #SatelliteGeometry #SpacecraftDynamics #SpaceVehicle #AttitudeDynamics #SpaceVehicleDynamics #RigidBodyDynamics #dynamics #NewtonsLaws #LawsOfMotion #engineering #aerospace #ElonMusk #spacetravel #SpaceX #Boeing #Satellite #Satellites #SpaceDomainAwareness #NewtonsLaw #NewtonsLawofMotion #EquationOfMotion #Newtons2ndLaw #NewtonianMechanics #AOE3144 #Caltech #NASA #VirginiaTech #engineering #dynamics #mechanics #physics #mathematics #science #aerospace #mechanicalengineering #spacecraft #openaccess #OnlineCourse #technology #robotics #space #spaceindustry #math #biomechanics #vehicledynamics #simulation #aerodynamics #innovation #NewtonEuler #SingleDegreeofFreedom #LinearMotion #NonlinearDynamics #DynamicalSystems #AppliedMath #ChaosTheory #Bifurcation #DifferentialEquations #mathematics #Newton #math #FreeCourses #OnlineCourse #Lagrangianpoints #Lyapunov #VectorField #GraphicalMethod #FixedPoints #EquilibriumPoints #NonlinearODEs #StablePoint #UnstablePoint #Stability #LinearStability #StabilityAnalysis #VectorField #Pendulum #Poincare​ #mathematicians #maths #mathstudents #mathematician #mathfacts #mathskills #mathtricks #KAMtori