We know, instantaneous displacement,

$x=r \sin \omega t$

$\because$ Instantaneous velocity, $v=\frac{dx}{dt}=r\omega \cos \omega t$

So. $\frac{aT}{x}=\frac{-{\omega }^{2}x\times T}{x}=-{\omega }^{2}T=\frac{-4{\pi }^2}{T^2}\times T$

$=\frac{-4{\pi }^2}{T}=$ constant

and,

$\Rightarrow \frac{aT}{V}=\frac{-{\omega }^{2}r\sin \omega t\times T}{\omega r\cos \omega t}=-\omega T\tan \omega T$

$=-\frac{2\pi }{T}\times T \tan \omega t=$not constant

Similarly, $aT+2\pi v$ and $a^2{T}^2+4{\pi }^2{v}^2$ is also not constant,
i.e. both are function of $t$