I am very confused with regards the simulation and fitting of satellite orbits.
For example, how does one compare the results of a numerically integrated force model with an orbit that has been fitted to laser ranging data??
When you numerically integrate a force model how do you compare with one of the many many many reference frames that exist that your fitted orbit will be subjected to! Any suggestions? My understanding is: when you simulate an orbit you will generate a whole host of positions. Then to compare it to an actual orbit you must select a time epoch which will orient the coordinate system ( is this correct??). If this is correct what follows?
The model I would like to numerically integrate is only Newtonian gravity plus relativistic corrections (assuming point particles) as recommended by the IERS given by Eq. (10.12) in the most current technical document/convention.