By expanding equations (3.6) and (3.7) in a Taylor series, show that the
Newtonian and relativistic effects agree to first order in v
c =
vS−vR
c
. This
means that engineers who design radar devices do not in fact need to un-
derstand relativity. You can do this using the expansions from problem
(2-2). Note that “to first order” means that we ignore any terms propor-
tional to v
2
, v2
R, v2
S
or higher powers of v, vR, vS.
1
Expert's answer
2019-11-14T08:58:48-0500
The relative Doppler effect:
τS(rel)τR=c−vc+v.
Common Doppler effect:
τSτR=c−vRc+vS=cc+v.
Here v - velocity of the source relative to the resting receiver.
Comments
Leave a comment