# Question about a relativisticaly accelerated harmonic oscillator

How can the speed of oscillation of a harmonic oscillator be affected if somehow it got accelerated to a relativistic speed perpendicular to its oscillation? Can this be compared with the effect on relativistic laser clock?

• Assuming that the proper acceleration (i.e. the acceleration that the harmonic oscillator "feels") is constant, there are two relativistic effects to take into consideration: time dilation and that the acceleration will decrease (since speed cannot exceed $c$). Even if the latter works opposite to the former, I think (without having done calculations) that the wavelength will increase more than linearly. – md2perpe Sep 4 '20 at 18:04