Change in the plane in the orbit

Philosophaie

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At the Apogee I have a radius (rx,ry,rz) and a velocity (vx,vy,vz).

I want to expand the ellipse using Hohmann Transfer.

v=Math.Sqr(vx^2+vy^2+vz^2)

uv=(vx/v,vy/v,vz/v)

Here is where my delema is:

vNew is the desired instantaneous velocity which will keep on the same plane you must:

vResult=vNew*(vx/v,vy/v,vz/v)

deltav=vNew-v is the instantaneous change that must occur.

My problem is that this operation causes a change in the plane in the orbit.

Does anyone have any suggestions where I am going wrong?
 
Are you using the correct coordinate system? Orbiter is using a left-handed coordinate system, that requires some changes to the usual right-handed math that you see in text books.
 
All Data is in Ecliptic form. x is on the Vernal Equinox, y is on the Ecliptic plane 90 degree from the Vernal Equinox and z is perpendicular to the Ecliptic plane. Are there some changes to this coordinate system that needs changing?
 
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y is on the Ecliptic plane 90 degree from the Vernal Equinox

90° in which direction?

The global coordinate system of Orbiter is defined like that, but the left-handedness is important,thus the question in which direction you have oriented the y axis.
 
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