Centripetal acceleration in non-circular systems, such as elliptical or parabolic trajectories, can be calculated using the formula a_c = v^2 / r, where v is the tangential velocity and r is the radius of curvature at a specific point. For elliptical motion, the radius of curvature varies, requiring the use of calculus to determine the instantaneous radius. The discussion emphasizes the importance of understanding the geometry of the path and applying the principles of centripetal force to derive the necessary calculations.
PREREQUISITESPhysics students, engineers, and anyone interested in advanced motion dynamics, particularly in non-linear trajectories.
https://en.wikipedia.org/wiki/Centripetal_force#General_planar_motionDr. Surgery said:How can you calculate centripetal acceleration in a non circular system(I.E. if wanted to calculate the centripetal acceleration in an eclipse, or a parabola how could I do that?)