Worked Examples Using Transport Theorem | Kinematics with Rotating Frames скачать в хорошем качестве

Worked Examples Using Transport Theorem | Kinematics with Rotating Frames

Space Vehicle Dynamics, Lecture 5: practice using kinematics formulas. Example using polar coordinates (motivation: pendulum). Example mechanism, ring and slider. Multiple frames: Angular velocity addition formula ► Next, Moon's velocity & acceleration with respect to Sun using transport theorem    • Moon's Velocity & Acceleration with Respec...   ► Previous, Transport theorem worked examples | vector derivatives when frames are rotating and translating    • Transport Theorem Worked Examples | Vector...   ► More lectures posted regularly Be informed, subscribe https://is.gd/RossLabSubscribe​ ► Dr. Shane Ross, aerospace engineering professor, Virginia Tech Background: Caltech PhD | worked at NASA JPL and Boeing Research website for ‪@ProfessorRoss‬ http://shaneross.com ► Follow me on Twitter   / rossdynamicslab   ► Space Vehicle Dynamics course videos (playlist)    • Spacecraft Attitude Dynamics & Control | O...   ► Lecture notes (PDF) https://drive.google.com/drive/folder... ► Reference: Schaub & Junkins, Analytical Mechanics of Space Systems, 4th edition, 2018 https://arc.aiaa.org/doi/book/10.2514... ► Courses and Playlists by Dr. Ross 📚Attitude Dynamics and Control https://is.gd/SpaceVehicleDynamics 📚Nonlinear Dynamics and Chaos https://is.gd/NonlinearDynamics 📚Hamiltonian Dynamics https://is.gd/AdvancedDynamics 📚Three-Body Problem Orbital Mechanics https://is.gd/SpaceManifolds 📚Lagrangian and 3D Rigid Body Dynamics https://is.gd/AnalyticalDynamics 📚Center Manifolds, Normal Forms, and Bifurcations https://is.gd/CenterManifolds ► Topics to be Covered in Course https://is.gd/SpaceVehicleDynamics 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 #TransportTheorem #RotatingFrame #Kinematics #InertialFrame #VectorDerivative #SatelliteGeometry #RotatingFrames #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