Inkscape: How can I create a circular plane with excited circles of different angle?

I have only once used Inkscape so far and need to make a graphic for my thesis work for an illustration of a geometrical principle. Imagine our solar system as a circular plane. The plane is the average of all the planets that circle around it. Now each individual planet is inclined towards this average(!) plane.

I would like to draw a plane that shows this inclination of each planet. Something like this (not necessarily with scaling):

How can I do this?

Thank you very much!

• It seems more a work for gnuplot (see here and here for example - and her for some data). Or for octave. You can export the data in SVG too. – Paolo Gibellini Dec 12 '14 at 15:41
• Well, it's just the geometric principle that I want to show. I guess I could draw the inclined circles in Inkscape and rotate them somehow (the orbits are not only angles but their orbit-maxima are also rotated towards each other) or make them appear rotated from the beginning. But it does look ugly I think to only draw circles. Imagine a belt like the asteroid belt between Mars and Jupiter - this is not a line but a circular plane in itself. Or the Kuiper belt behind Neptune. For such belts a 3d plane is much more beautiful - assuming that all objects on the same orbit have same inclination. – Lucas Dec 12 '14 at 16:04
• Mmm... something like the images near the end of this page? – Paolo Gibellini Dec 12 '14 at 20:09
• Either I misunderstood what you want to do or you are striving to create an unreadable diagram. – Wrzlprmft Dec 12 '14 at 20:43
• Or perhaps you intend an ellipse (representing the plane) translated following a path (the orbit), like here? Please, be a little more specific. – Paolo Gibellini Dec 13 '14 at 22:28