According to Keplerís Laws, planets have elliptical orbits, with the sun at one of the 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 the equation for Plutoís orbit.
Using the perihelion, a - c = 4.4 billion km
Using the aphelion, a + c = 7.4 billion km
Adding 7.4 billion km + 4.4 billion km, I have 2a = 11.8 billion km
Dividing by 2, a = 5.9 billion km
b^2 = a^2 - c^2
= ((59 x 10^9)^2) - (15 x 10^9)^2 = 3.256 x 10^21
Equation of orbit = ((x^2)/(4.481 x 10^21)) + ((y^2)/(3.256 x 10^21)) = 1
Correct? Thanks in advance.