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| quote: | Originally posted by tachobg
so you're trying to determine the approximate landing position (and possibly the whole trajectory) from some samples of the objects position? here's how i see it: the trajectory is subject to real world physics, and physical parameters. what you measure are samples of position that depend on those parameters. what would be nice to do is to get back the parameters that generated the given data. Then, because these parameters determine the physics of the scenario, you can use them to determine the entire trajectory.
In this case, the parameters could be something like {initial position, initial velocity, some constant of proportionality for the air resistance force}. This comes out to 7 parameters. What you can do in rough terms is to calculate the parameters that most likely generated the data. If your data is noisy, you probably want to use some probabilistic inference, and calculate the probability of params given data measured, and take the params that maximize this probability. If everything is deterministic, you should be able to set up some equations and in principle get an exact solution for the parameters. This might need some numerical solver though. Good luck and have fun |
this is my wingman, right here...
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