SRT RF gendanken problem...

[quantum quack]

Observers A, B and C

 

 

Observer A sees B at v=0.8c.

B sees it self at rest but sees C at v=0.8c

How fast does A see C traveling at?

 

Obviously the first intutitive response is that C would be at 1.6'c' but also obviously SRT would say differently simply becasue of the speed limitation of 'c'.

 

so how is this solved?

any one?

[UncleAl]

Given any achievable velocities V1 and V2 and any finite lightspeed,the bound on the relative velocities of V1 and V2 as viewed by any inertial observer cannot exceed

 

(V1 + V2)/[1 +(V1)(V2)/c^2]

 

This is transformation of velocities parallel to the direction of motion. For velocities at an arbitrary angle theta, Jackson gives

 

u_parallel = (u'_parallel + v)/(1+(v dot u')/c^2)

u_perp = u'_perp/(gamma_v(1+(v dot u')/c^2))

 

<http://www.physics.umanitoba.ca/~souther/waves02/feb0402/sld011.htm>

 

Relativistic doppler shift,

http://www.mathpages.com/rr/s2-04/2-04.htm

http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/reldop2.html

http://www.phys.ufl.edu/~rfield/PHY2061/images/chp39_2.pdf