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I would like to discuss the nature of the following effect. At whatever angle and with whatever initial speed the particle fly into a uniform potential field, over time the directions of the instantaneous velocity and field strength converge. The kinematics and dynamics here are trivial, but I wondered: is there any general principle (such as the least action) that dictates this effect? Long attempts led me to a very vague "Maximum power principle" https://en.wikipedia.org/wiki/Maximum_power_principle#:~:text=According%20to%20Howard%20T.,that%20reinforce%20production%20and%20efficiency.%22 which in relation to this problem can be formulated as follows: "the system tends to move to such a movement that the power transfer of energy from potential to kinetic was maximum. It seems to be true, since instantaneous power is defined as the scalar product of force and instantaneous speed...
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