Photon energies in a spherical body with va=.6 ca
The photon pattern is symmetrical and we will focus on the
0 to 180 degree half. When photons are emitted, they are blueshifted or redshifted by a factor of
ca/(ca−velocity of source in direction of photon motion through qm) or
ca/(ca−va·cosα)
where va is the velocity of the system through the qm and α is the angle between the photon's
path through the qm and va or the x axis. For photons moving in the +x direction through the
system, cosα=1 so the blueshift is simply
1/(1−.6) or 2.5. Therefore, the photons moving from the sphere's center
to the 0° location have a frequency equal to the emission frequency times the blueshift or
(.8·2.5) or 2 times the atrest frequency. Therefore, their energy is also 2 times the
atrest energy or 2 ep, as shown in the table. For photons moving in the −x direction,
cosα=−1 and at emission the photons are redshifted by a factor of
1/(1+.6) or .625, and they have an energy of (.8·.625) or
.5 times the atrest energy or .5 ep, as shown.
