This article is about a mechanical force. For the military unit, see Central Force.
In classical mechanics, a central force on an object is a force that is directed towards or away from a point called center of force.[a][1]: 93
where is the force, F is a vector valued force function, F is a scalar valued force function, r is the position vector, ||r|| is its length, and is the corresponding unit vector.
Not all central force fields are conservative or spherically symmetric. However, a central force is conservative if and only if it is spherically symmetric or rotationally invariant.[1]: 133–38
^ abcTaylor, John R. (2005). Classical Mechanics. Sausalito, CA.: Univ. Science Books. ISBN 1-891389-22-X.
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