# Solution of the Geodetic Spherical Equation

1. Sep 30, 2013

### Philosophaie

I have calculated the Keplerian Elements for a particular Position and Velocity Vector for a Satellite around Earth. With a solution of the Geodetic Spherical Equation:
$$u = \frac{1}{R} = \frac{μ}{h^2}(1+ e*Cos(\phi - \tilde\omega))$$
What does the "R" in this equation represent?

where ω is the Longitude of the Perigee calculated in the Keplerian Elements.
$$\phi = Acos(\frac{z}{r})$$

It is strangely similar to this Equation:
$$r = \frac{h^2}{μ}\frac{1}{(1 + e*Cos(TA))}$$
Where TA is the True Anomaly.

Last edited: Sep 30, 2013