May The Issue Rest

If in circular motion the momentum of a particle is adjusted by $2\pi$,

$mv\rightarrow 2\pi mv$

then the kinetic energy of the particle,

$\cfrac{1}{2}mv^2\rightarrow \cfrac{1}{2}m(2\pi v)^2$

$KE\rightarrow 4\pi^2KE$

is adjusted by a factor $4\pi^2\approx 39.478$, and

$\cfrac{1}{2}mv^2\rightarrow \cfrac{1}{2}(4\pi^2m)v^2$

$m\rightarrow4\pi^2m$

$m_{or}=4\pi^2m_r$

This could account for the difference between "rest" mass, $m_r$ and the mass of a particle in orbit around another, $m_{or}$.