Mathematics Colloquia and Seminars
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Central force laws, hodographs, and polar reciprocals.Colloquium
|Speaker: ||Prof. Don. Chakerian, Mathematics, UC Davis|
|Location: ||693 Kerr|
|Start time: ||Mon, Oct 30 2000, 4:10PM|
The hodograph or velocity diagram of a trajectory of a
particle is the curve described by the velocity vector.
The fact that the hodograph of an orbit associated with
any central force law is similar to the polar reciprocal
of the orbit gives some geometric insight into the physics
and leads to easy derivations of the force laws associated
with various orbits.