From Cavendish Apparatus:

Constants needed:

Planck mass

$m_p=\sqrt{\frac{\hslash cM{T}^2}{L2{\pi }^2{R}^2\theta }}=\frac{T\hslash }{\pi R}\sqrt{\frac{1}{2{\overline{\lambda }}_{M}L\theta }}$

Needs $\hslash$

Planck mass

$m_p=\sqrt{\frac{\overline{\lambda }{c}^2{M}^2{T}^2}{L2{\pi }^2{R}^2\theta }}=\frac{TMc}{\pi R}\sqrt{\frac{{\overline{\lambda }}_M}{2L\theta }}$

Needs c

Planck energy

$E_p=\sqrt{\frac{\hslash c^{5}M{T}^2}{L2{\pi }^2{R}^2\theta }}=\frac{T{c}^2\hslash }{\pi R}\sqrt{\frac{1}{2{\overline{\lambda }}_{M}L\theta }}$

Needs $\hslash$ and c

Planck energy

$E_p=\sqrt{\frac{\overline{\lambda }{c}^6{M}^2{T}^2}{L2{\pi }^2{R}^2\theta }}=\frac{TM{c}^3}{\pi R}\sqrt{\frac{{\overline{\lambda }}_M}{2L\theta }}$

Needs c

Planck length

$l_p=\sqrt{\frac{\hslash L2{\pi }^2{R}^2\theta }{c^{3}M{T}^2}}=\frac{\pi R}{cT}\sqrt{2{\overline{\lambda }}_{M}L\theta }$

Needs c

Planck time

$t_p=\sqrt{\frac{\hslash L2{\pi }^2{R}^2\theta }{c^{5}M{T}^2}}=\frac{\pi R}{c^{2}T}\sqrt{2{\overline{\lambda }}_{M}L\theta }$

Needs c

Schwarzschild radius

$r_s=\frac{L4{\pi }^2{R}^2\theta }{c^2{T}^2}$

Needs c

Gravitational acceleration

$g=\frac{L2{\pi }^2\theta }{T^2}$

Constant free

Orbital velocity

$v_o=\sqrt{\frac{RL4{\pi }^2\theta }{T^2}}$

Constant free

Newton gravitational constant

$G=\frac{L2{\pi }^2{R}^2\theta }{M{T}^2}=\frac{2L\pi R^2\theta {\overline{\lambda }}_{M}c}{\hslash T^2}$

Needs $\hslash$ and c