Other Coordinate Systems - MIT OpenCourseWare
−rθ˙2 is also part of the radial acceleration, and cannot be neglected. The paradox is that even though a r = 0, the radial velocity v r = r˙ = r 0βeβt is increasing rapidly in time. In polar coordinates v r = a r(t)dt , because this integral does not take into account the fact that e r and e θ are functions of time. 5
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