I’m engaged on an issue proper now that I believe is out of my league mathematically. I’ll do my finest to explain the issue, please be happy to ask for clarification within the feedback!
I might like to determine the equations to mannequin a round/elliptical form on the bottom, when the supply (above the bottom) is rotating. For instance, if I used to be to face and level a flashlight on the floor, the projected mild could be round. If I angle the flashlight (rotating my wrist L and R) the form turns into elliptical. Now the complicated part- For example there may be an ant on the bottom, and that i have to rotate my wrist left and proper to scan for this ant with my flashlight. After I discover the ant, I wish to maintain the flashlight fastened on it, however I’m shifting away from the ant holding the flashlight at fixed velocity. A corrective angle perpendicular to the flashlights rotation will have to be utilized for the flashlight to remain centered on the ant. I imagine this will likely use matrices however I’ve additionally tried a calculus resolution, I simply have ended up so tousled that I get misplaced. If any a part of that is not clear or if that is only a nonsense query be happy to let me know, thanks prematurely for any assist/recommendation!