The planets have elliptical orbits with the sun as one of the foci Pluto, the planet furthest from the Sun, has a very elongated, or flattened, elliptical orbit, whereas Earth, has an almost circular orbit. Because of Pluto flattened path, it is not always the planet furthest from the Sun.
The orbit of the dwarf panet Pluto has approximately the following characteristic (Assume the Sun is the focus):
-The length of the semimajor axis 2a is approximately 11,827,000,000km.
-The perihelion distance from the dwarf planet to the Sun is 4,447,000,000km.
Determine the equation for Pluto elliptical orbit around the Sun.