\(SKE\) = 0.4*\(\cfrac{{v}^{2}}{2}\) = 0.4*0.5*(0.4651)^(2) = 0.0433 km2s-2
the 0.4 factor is the result of moment of inertia of Earth modeled as a sphere, I = 0.4mr2.
From,
\(\triangle GPE = 3\cfrac{{g}_{e}{r}_{e}}{2} \)
\(\triangle GPE\) = 1.5*0.0098065*6371 = 93.716 km2s-2
Assuming that SKE is converted from a change in total \(GPE\), ie \(\triangle GPE\), energy available for \(RKE\) is,
\(RKE\) = 93.716 - 0.0433 = 93.6727 km2s-2
And so
\({V}_{e}\) = ( 2*93.6727 )^(0.5) = 13.69 kms-1
Which is very much the same as calculated before, but still compared the measured speed of 29.78 kms-1, although of the same order, is still way off.
