From RTN reference frame to ECI and orbital elements

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The discussion focuses on converting the position and velocity of a chaser spacecraft from RTN coordinates to ECI coordinates and orbital elements, given a target spacecraft that defines the RTN frame. The user seeks to integrate a controller that operates in RTN coordinates with a more complex simulator requiring ECI coordinates and orbital elements. They acknowledge the need for additional parameters, such as mass and altitude, to facilitate the conversion. A preliminary idea suggests that the initial ECI position of the target may not significantly impact the regulator, allowing for arbitrary values as long as the relative distance is accurately expressed. The user is uncertain about the specific calculations required to achieve this conversion.
GNCstudent
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Hi all,
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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Some data and simplifications, that can be used here :

- the target's orbit is circular
- the RTN position of the chaser is (30;10;10) m
- the mass of the chaser is 1000kg and the mass of the target is 8000kg
- the target has an altitude of 800e3 m
 
GNCstudent said:
Some data and simplifications, that can be used here :

- the target's orbit is circular
- the RTN position of the chaser is (30;10;10) m
- the mass of the chaser is 1000kg and the mass of the target is 8000kg
- the target has an altitude of 800e3 m
- Also the chaser has no initial velocity (it's zero)
 
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