# Are inertial and non-inertial frames assymetrical?

1. Aug 11, 2014

### HALON

When neglecting gravity and body size, if a body rotating at uniform angular velocity about a central body sends a light signal to the central body, the central body will receive the wavelength as longer by $1/γ$. Conversely, if the central body sends a signal to the rotating body, the rotating body will receive the wavelength as $γ$ times shorter. Is this correct?

2. Aug 12, 2014

### ghwellsjr

The wavelength is longer but I would say by $γ$ times. Or you could say the frequency of the light is slower by a factor of $1/γ$.

Again, it is shorter but I would say by $1/γ$ times and the frequency is $γ$ times faster.

But this may just be semantics.

3. Aug 12, 2014

### WannabeNewton

4. Aug 12, 2014

### HALON

I see your point about the semantics, but essentially we are in agreement.

[EDIT] I began with $γ=(1-v/c)^{1/2}$ for an instant of angular velocity, then $f_{orbit}=f_{central}/γ$, which is simply $1/γ$
Using $c=fλ$
we get Orbit's view of light as $c=(1/γ*f)(γλ)$
And the reciprocal is Central's view of light $c=(γf)(1/γ*λ)$

Yes but... it was the last question I posted on that thread and I didn’t receive your reply. You implicitly answered it earlier in a very detailed (and for me complicated) way, which I took as agreement. Indeed my last question there was also rather longwinded. So I condensed the question (without all the equations) to seek clarification and confirmation.

If ghwellsjr is correct then it satisfies me and this thread may be closed.

Last edited: Aug 12, 2014