Do similar ellipses have equal eccentricity?

Trying to scale the solar system to a smaller level, and trying to figure out the elliptical orbits, but I'm stuck on how to scale the eccentricity. Is the eccentricity just going to be the same or is it scaled down as well?

1 Answer
Shwetank Mauria
Dec 27, 2017

Yes, similar ellipses have equal eccentricity.

Explanation:

Similar ellipses have equal eccentricity. Hence, while scaling down elliptical orbits of objects in solar system, you need to take care of only major and minor axes.

However, you need to take care that major and minor axes are different from maximum and minimum distances of the object from sun, which is not in the center of theellipse but at one of the focii.

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