Carmen Chicone
What are the equations of motion of classical physics?
(42K, Latex2e)

ABSTRACT.  Action at a distance in Newtonian physics is replaced by finite 
propagation speeds in classical physics, the physics defined by the 
field theories of Maxwell and Einstein. As a result, the differential 
equations of motion in Newtonian physics are replaced in classical 
physics by functional differential equations, where 
the delay associated with the finite propagation speed (the speed of 
light) is taken into account. Newtonian equations of motion, with 
post-Newtonian corrections, are often used to approximate the 
functional differential equations of motion. Some mathematical issues 
related to the problem of extracting the ``correct'' approximate 
Newtonian equations of motion are discussed.