The planet Saturn orbits the Sun in an elliptical path with the Sun at one focus. The eccentricity of the orbit is 0.0565 and the distance between the Sun and Saturn at perihelion (the closest point) is 1.353 × 109km. Determine the distance at aphelion (the farthest point). Round to the nearest million kilometers.

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Asked Dec 24, 2019
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The planet Saturn orbits the Sun in an elliptical path with the Sun at one focus. The eccentricity of the orbit is 0.0565 and the distance between the Sun and Saturn at perihelion (the closest point) is 1.353 × 109km. Determine the distance at aphelion (the farthest point). Round to the nearest million kilometers.

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It is given that the eccentricity of the orbit is 0.0565 and the distance between the sun and Saturn at perih...

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0.0565 c = 0.0565a The distance between the sun and Saturn is a - =1.353×10°. Substitute the value of c in the a-c =1.353×10°. a-c =1.353x10° a =1.353 x10° +0.0565a Combine the terms as follows. a - c =1.353×10° a -0.0565a =1.353×10° %3D 0.9435a =1.353 ×10° 1.353 x 10° 0.9435 a =1.434 x10°

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