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The orbit of a planet around the sun is not circular; it is an ellipse with
the Sun at one focus. The aphelion of a planet is the greatest distance
from the sun and the perihelion is its shortest distance. The mean
distance of a planet from the sun is the length of the semimajor axis of
the elliptical orbit. The perihelion of Pluto is 4551 million miles, and the
distance from the center of its elliptical orbit to the sun is 897.5 million
miles. Find the aphelion of Pluto. What is the mean distance of Pluto
from the Sun? Write an equation to represent the orbit of Pluto around
the Sun.


Sagot :

The equation to represent the orbit of Pluto around the Sun will be x²/4659.42 + y²/4566.31 = 1.

How to compute the equation?

The distance from the center of the elliptical orbit to the sun is 897.5 million miles. The aphelion will be:

= 5448.5 + 897.5

= 6346 million miles

The equation of ellipse will be:

x²/a² + y²/b² = 1

x²/4659.42 + y²/4566.31 = 1

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