Classical Physics

    

The Problem of Newton’s Cannonball

Authors: Herve Le Cornec

Looking at the kinematics of Newton’s thought experiment of the cannonball fired from a mountain, by considering a linear gravitational acceleration we face a non constant angular momentum, thus no Keplerian motion. Nonetheless Newton always referred to his gravitational force as centripetal, therefore the problem can be solved by using Hamilton’s Keplerian velocity, which also forecasts a centripetal acceleration. We might then have misunderstood Newton by considering a linear instead of centripetal gravitational acceleration in some local experiments, like the body falling.

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[v1] 2024-10-05 20:04:31

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