According to Kepler’s Law, planets have elliptical orbits, with the sun at one foci. The farthest Pluto gets from the sun is 7.4 billion kilometers. The closest it gets to the sun is 4.4 billion kilometers. Find an equation of Pluto’s orbit assuming a center at (0,0).

Answer 1

"foci" is the plural of "focus"
The ellipse has equation
x^2/a^2 + y^2/b^2 = 1
where
2a = 7.4 + 4.4 = 11.8
2c = 7.4 - 4.4 = 3.0
So now we have b^2 = a^2-c^2 = 32.56
Now finish it off

Answer 2

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