MontBlanc2012
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Are you saying that checking a simulation with another simulation is better than checking a simulation against reality?
No, I'm not saying that. All that I'm saying is that Orbiter can provide a controlled test of model formulation.
As I understand it, you have two possibilities: either you have included the tidal terms in your equations of motion incorrectly; or there is some hidden problem with the way that you calculate the initial and/or final state vectors.
If you want to check the former, you can use a model like Orbiter. Alternatively, you can build another integrator that works in a global inertial coordinate system, and check that the ECI model with tidal forces yields exactly the same result as the one built for the global inertial coordinate system. If it doesn't then you probably have to revise the way that you model tidal forces. If it does, then you need to look more closely at the way you form the initial/final state vectors for the integration.