In one specific case, this type of potential gives rise to a class of solutions known as Cotes' spirals.
In one specific case, this type of potential gives rise to a class of solutions known as Cotes' spirals. This type of potential gives rise to the equation d-squared-u-d-theta-squared plus u equals minus a constant divided by u squared all times f of 1 over u; that equation is sometimes named for Binet. The equation of motion resulting from this type of potential can be written in terms of an "effective" potential which consists of the original potential plus a "centrifugal barrier" term which is strongly repulsive at short distances. Only two power law potentials of this type havethe property that all bound orbits are closed according to Bertrand's theorem. The specific angular momentum is a constant of the motion under this type of force. Two bodies interact under an inverse-square variant of this type of force in a Kepler problem. For 10 points, name this type of force which depends only on the distance between objects.
In one specific case, this type of potential gives rise to a class of solutions known as Cotes' spirals.
central force or potential [accept  spherically symmetric]