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The Ellipse - Problem 18 311 views
Many astronomical bodies have elliptical orbits, including planets around the sun. Here we write the equation for the path of Mars based on knowing its closest and farthest distances from the sun. It is challenging to interpret the distance from the sun as "a, "b," and "c" values, so here we use a sketch to help. As a bonus, we also look at the eccentricity of the path: that is, the ratio of the "c" to "a" values, which tells us how circular the path is compared to other ellipses.
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