(IOP Publishing Ltd., 2011) Rador, Tonguç; 01. Izmir Institute of Technology
Consider a two-body system consisting of a very
massive sun and a planet in a circular orbit of radius
R around it, as seen by an inertial observer S at rest
with respect to the sun. Obviously this sun–planet
system obeys Kepler’s first law. For concreteness let
the planet revolve on the plane z = 0 and the sun be
located at x = y = z = 0. Now consider another inertial
observer Sl moving with speed v" = cβˆ
x, say,
on the plane z = zs relative to the sun.