Space Vehicle Dynamics- What You Will Learn & Introduction to Instructor | Lecture 1 of Course
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- Опубликовано: 25 июл 2024
- Space Vehicle Dynamics 🪐 This undergraduate course will introduce you to 3D rigid body dynamics, spacecraft dynamics, attitude determination, and attitude stabilization🚀 Lecture 1: Introduction to instructor and overview of the course objectives ⚙️
👉🏽 Jump to course description 24:15
► Course Playlist
• Space Vehicle Dynamics
► Next, Reference frames & mission analysis
• Satellite Reference Fr...
► Prerequisites
Undergraduate-level statics and dynamics (particles and rigid bodies in 2 dimensions).
► More lectures posted regularly
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► Dr. Shane Ross, aerospace engineering professor, Virginia Tech
Background: Caltech PhD | worked at NASA JPL & Boeing
Research website for @ProfessorRoss
shaneross.com
► Dr. Ross has a Caltech PhD, worked at NASA/JPL and Boeing on interplanetary trajectories, and is a world renowned expert in 3-body problem orbital dynamics.
► Follow me
/ rossdynamicslab
► Lecture notes PDF
drive.google.com/drive/folder...
► All course videos
• Space Vehicle Dynamics
► Textbook
Schaub and Junkins, Analytical Mechanics of Space Systems, 4th edition, 2018
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.)
- Motion decomposed into translational motion of c.o.m. and motion relative to the c.o.m.
- 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
► Course Learning Objectives
By covering the topics above, it is expected that upon completion of the course, you will be able to do the following:
Particle Dynamics
Understand inertial & rotating/moving reference frames & their application to particle kinematics. Newton’s laws of motion & derivation of equations of motion for particles.
Rigid Body Dynamics (Attitude Dynamics)
Derive & explain equations of motion for rigid bodies, including modeling assumptions, angular momentum, moment of inertia, Newton-Euler equations (Newton's law for translational dynamics and Euler's rotational equation for rotational dynamics). Apply equations to single rigid body.
Rigid Body Kinematics (Attitude Kinematics)
Perform rigid body kinematics operations using rotation matrices (direction cosine matrix), Euler angles, principal rotation vector, principal Euler axis & angle, Euler parameters (quaternions).
Attitude Determination
Describe measurements required to determine attitude of a spacecraft. Apply attitude determination algorithms, eg TRIAD method, Davenport's q-method, gyroscope & Kalman filter.
Spin Behavior & Stability
Analyze spin behavior & stability of a rigid body, using linear & non-linear stability analysis.
Spacecraft Attitude Dynamics
Describe major environmental forces / moments affecting spacecraft motion. Apply basic dynamics analysis to attitude dynamics of spin & gravity gradient stabilized spacecraft. Dual-spin, effects of energy dissipation.
System of Rigid Bodies
Express angular momentum of a system of rotating rigid bodies. Describe & analyze the dynamics of multi-rigid body systems.
► Courses & Playlists by Dr. Ross
📚3-Body Problem Orbital Dynamics
is.gd/3BodyProblem
📚Space Manifolds
is.gd/SpaceManifolds
📚Space Vehicle Dynamics
is.gd/SpaceVehicleDynamics
📚Lagrangian & 3D Rigid Body Dynamics
is.gd/AnalyticalDynamics
📚Nonlinear Dynamics & Chaos
is.gd/NonlinearDynamics
📚Hamiltonian Dynamics
is.gd/AdvancedDynamics
📚Center Manifolds, Normal Forms, & Bifurcations
is.gd/CenterManifolds
#SpacecraftDynamics #AttitudeDetermination #AttitudeStabilization #AerospaceEngineering #3DRigidBodyDynamics #SpaceVehicleDynamics #DrShaneRoss #VirginiaTechAerospace #SpaceSystem #RigidBodyKinematics #NewtonEulerEquations #SpacecraftAttitudeDynamics #AstrodynamicsEducation #SpaceExplorationTech #AerospaceResearch #SpaceMissionAnalysis #InterplanetaryTrajectories #SpaceEducation #SpaceTechLecture #AerospaceAcademia 
Наука
Dr.Ross thank you so much for uploading this course. I'm a test/R&D engineer at a small aerospace company and am using this course to try to break into the GNC world! Thank you!
Im still in undergrad and im learning so much from you! Thank you so much Dr.
Thank you so much for teaching these great great lessons!
My pleasure! Please like and share!
Thanks for teaching this class online!
Thanks for watching !
thank you Dr.Ross for creating such detailed videos to teach us orbital mechanics I am working my way into the serospace world and you have been such a big help.
Glad to be of service. Thank you for watching.
you are really funny "take that air craft " . cracked me hard + thank you for the course
You are very welcome. I try to throw in some humor to break up the monotony (and wake up my students in class!).
Kinematics: Describing the Motions of Spacecraft from Coursera
Analytical Mechanics of Space Systems, Hanspeter Schaub
Space Vehicle Dynamics and Control, Bong Wie
Rigid Body Dynamics for Space Applications, Vladimir S. Aslanov
plus this "Space Vehicle Dynamics" playlist you gonna createVoltron.
It seems three body gravity is on it’s way to be understood by dyanamics
Thank goodness it wasn’t manned. Nice video thx.
You got that right!
Prof can u please help me out with finding lecture notes
The lecture notes are here: is.gd/SpaceVehicleDynamicsNotes
@@ProfessorRoss I have tried but this link doesn't work. I am unable to access this website. It isn't available in my location atleast.
@@pranav9339 Where are you located? Try this link: drive.google.com/drive/folders/11f2zWcKmbt44T59p9r8PNR1WLLRZaPCq
@@ProfessorRoss I am from India. Thank you prof I am able to access.!
Please help me in solving this problem:
The initial (3-2-1) Euler angles yaw, pitch and roll of a vehicle are (\psi, \theta, \phi)(ψ,θ,ϕ) = (40, 30, 80) degrees. Assume the body angular velocity vector of the craft is given through the BB frame components as Bωω=⎡⎣sin(0.1t)0.01cos(0.1t)⎤⎦20deg/s. Write a program to numerically integrate the yaw, pitch and roll angles over a simulation time of 1 minute. Enter the Euler angle norm \sqrt{\psi^2 + \theta^2 + \phi^2}
ψ
2
+θ
2
+ϕ
2
at the simulation time step 42s. Express angles in radians.
[Hint: if you are unsure, look at the "Optional Review: Integrating Differential Kinematic Equations" video.]
[Hint: In the integration, start with the initial angles and just integrate them without mapping them to specific quadrants
Are you asking me to solve a homework problem from Dr. Schaub's book, complete with references to his Coursera course videos?
@@ProfessorRoss
Yes,Sire.
As I am not getting accurate answer.
@@drblade2292 I don't solve homeworks for people, but you can look at this other video that goes through the steps for integrating Euler angles ruclips.net/video/vwn_JT0SDXQ/видео.html
Thanks for the thorough explanations, but not a good hand writing.
Noted