Orbital elements: Difference between revisions

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<big> µ = GM = 1 </big>
<big> µ = GM = 1 </big>

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Those six parameters, along with dynamical considerations explained below, allow for the determination of both the position and the speed of the orbiting object in [[wp:cartesian coordinates|cartesian coordinates]], those two vectors constituting the so-called [[wp:orbital state vectors|orbital state vectors]].


As mentioned, dynamical considerations allows for the determination of the speed. They result in the so-called [[wp:vis-viva equation|vis-viva equation]]:
As mentioned, dynamical considerations allows for the determination of the speed. They result in the so-called [[wp:vis-viva equation|vis-viva equation]]:
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This only gives the magnitude of the speed. The direction is easily determined since it's tangent to the conic.
This only gives the magnitude of the speed. The direction is easily determined since it's tangent to the conic.

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Those parameters allow for the determination of both the position and the speed of the orbiting object in [[wp:cartesian coordinates|cartesian coordinates]], those two vectors constituting the so-called [[wp:orbital state vectors|orbital state vectors]].


The purpose of this task is to show how to perform this conversion from orbital elements to orbital state vectors in your programming language.
The purpose of this task is to show how to perform this conversion from orbital elements to orbital state vectors in your programming language.
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