This is one of my favorite YouTube channels. Maxfiart scratch builds unique rubber powered free flight models. Many videos include the build process and all have excellent flying sciences.
https://m.youtube.com/@maxfliart/videos
Check out the example problems "Mathematics of Satellite Motion". Several of the variable have to be known in order to solve the equations.
Also, check out this link to answer your second question. Go to the "Orbit Manuevers" section to see the maths. Click on the embedded links for example...