Question

In astronomy, the term perihelion refers to the point in the orbit of an asteroid, comet, or planet at which it is closest to the sun. Aphelion refers to the point at which the object is furthest away from the sun. Research facts about the dwarf planet Ceres. Calculate the average orbital speed of Ceres in miles/hour when it is closest to the sun and when it is farthest away.

Answer 1

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Answer 2

Answer:

Orbital speed is given by the formula:

$v=\sqrt{\frac{GM}{r}}$

Mass of Ceres, M = $1.98\times 10^{30} kg$

The closest distance of Ceres to sun is : 382,620,000,000 m

orbital speed of Ceres at perihelion is:

$v=\sqrt{\frac{1.67\times 10^{-11}\times 1.98\times 10^{30}}{382,620,000,000}} = 9296.23 m/s =20795.07 miles/hour$

The farthest distance of Ceres to sun is : 382,620,000,000 m

orbital speed of Ceres at aphelion is: 414,010,000,000 m

$v=\sqrt{\frac{1.67\times 10^{-11}\times 1.98\times 10^{30}}{414,010,000,000}} = 8936.87 m/s = 19991.2 miles/hour$