Need help with calculation of Lagrangian points in cartesian coordinate system.

Input data:

Major body: positon <0,0>, speed <0,0> , mass = M1

Minor body: position <R,0>, speed <Vx,Vy> (elliptical orbit with eccentricity near 0, so Vx is not zero), mass=M2

How to calculate position and speed vectors of Lagrangian points (center of Lagrangian "area")?

---------- Post added 10-25-2009 at 12:41 PM ---------- Previous post was 10-24-2009 at 02:37 PM ----------

Nobody can help?

I just want to place here some objects in Orbiter and maybe to make simple celbody module addon for creating artificial satellites in these points.

For example: MJD 55129.0, Moon position relative to Earth: <403551905.78, 0,0> speed: <14.5409, 968.3182, 0> (data from Orbiter after few simple coordinate transformations).

Where is L1 point, and how to calculate speed vector for this point? Is there some equation for gravity, centrifugal, Coriolis forces?

Input data:

Major body: positon <0,0>, speed <0,0> , mass = M1

Minor body: position <R,0>, speed <Vx,Vy> (elliptical orbit with eccentricity near 0, so Vx is not zero), mass=M2

How to calculate position and speed vectors of Lagrangian points (center of Lagrangian "area")?

---------- Post added 10-25-2009 at 12:41 PM ---------- Previous post was 10-24-2009 at 02:37 PM ----------

Nobody can help?

I just want to place here some objects in Orbiter and maybe to make simple celbody module addon for creating artificial satellites in these points.

For example: MJD 55129.0, Moon position relative to Earth: <403551905.78, 0,0> speed: <14.5409, 968.3182, 0> (data from Orbiter after few simple coordinate transformations).

Where is L1 point, and how to calculate speed vector for this point? Is there some equation for gravity, centrifugal, Coriolis forces?

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