Question

At its closest point, Mars is 128.5 million miles from the Sun. At its farthest point, Mars is 155.0 million miles from the Sun. Write an equation for the orbit of Mars. Assume that the center of the orbit is the origin, the Sun lies on the xx-axis, and the radius of the Sun is 400,000 miles.

Solution

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x2a2+y2b2=1\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

The center of the orbit is the origin and the sun lies on the xx-axis (assume that the Sun lies at one of the foci)

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