# Do all the orbits of planets in the Solar system fit in a (imaginary) cone?

So that all the elliptic orbits can be seen as slices from the cone while the sun is a shared focus.

• Given an ellipse with eccentricity $e$ and semi-major axis $a$ and a cone with aperture angle $\alpha$, there always exists a way to slice the cone such that the section is the ellipse. So the answer is trivially yes, if I interpret the question correctly Aug 17 at 11:18
• Is the question whether each of hte planetary orbits fit into an imaginary cone of its own, or whether all of the planetary orbits fit into one single imaginary cone? Aug 17 at 16:16