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, \(m_{or}\).
