Using a Homogeneous Transformation Matrix to Combine Rotation and Translation

In this video we discuss how to properly deal with coordinate frames that are both rotated and translated from one another. We develop a homogeneous transformation matrix which combines a standard rotation matrix with a translation. This matrix can be used to relate the pose of a system in one frame to the pose in the other frame. Topics and Timestamps: 0:00 – Introduction 1:24 – Development of homogeneous transformation in 2D 27:08 – Example 41:15 – Composite/successive transformations 59:35 – Extension to 3D Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/main/FlightMech10 All Flight Mechanics videos in a single playlist (https://www.youtube.com/playlist?list=PLxdnSsBqCrrEx3A6W94sQGClk6Q4YCg-h) #FlightMechanics You can support this channel via Patreon at https://www.patreon.com/christopherwlum or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!