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2

Is it possible to update an existing TLE using new data? Of course it is. How do you think TLEs are updated? That said, it's not easy. You'll need to Compute the Jacobian of your new data with respect to the elements of a TLE you might want to modify. Come up with a weighting matrix that indicates which of those new data are better than others. For ...

3

Given the radial distance $r$, velocity $v$, flight path angle $\gamma$ in radians, gravitational parameter $\mu$, and specific orbital energy $\epsilon$, the specific relative angular momentum is $$h= \|{\overrightarrow{r} \times \overrightarrow{v}}\| = rv\sin\left(\frac{\pi}{2}+ \gamma\right) =rv\cos\left( \gamma\right)$$ Then the orbital eccentricity ...

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