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I'm curently meeting the following problem and can't figure it out by myself.

Assume we have to vehicles in space, a target and a chaser spacecraft. The target spacecraft defines the RTN frame of reference.

Given the position and velocity of the chaser in RTN-coordinates, how can I derive its representation in ECi coordinates and/or orbital elements ?

Is it even possible ?

The background of my problem is, that I'm using a controller, that only uses RTN coordinates. However, I'm trying to include another more commplex simulator as reference solution, that requires ECI coordinates as inital condition for the target and the relative difference coordinates in orbital elements from chaser to target.

I am aware that I need additional information, like the mass, the altitude, R_earth, mu and gravitational constant, which I could provide.

But is that enough?

A very first idea, was to assume, that the initial ECI-position of the target doesn't matter for the simple regulator. So I could just set them to a random value.. So the only thing that matters would be the distance expressed in orbital or ECI-coordinates from target to chaser. But I can't figure out , how to do that...

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# From RTN reference frame to ECI and orbital elements

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