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Anton [14]
3 years ago
7

An Earth satellite needs to have its orbit changed so the new orbit will be twice as far from the center of Earth as the origina

l orbit. The new orbital period will be twice as long as the original period. O true O false
Physics
1 answer:
horsena [70]3 years ago
5 0

Answer:

False.

Explanation:

From Kepler's Third Law of plenetary motion, we know that:

<em>"The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit."</em>

Or, as expressed in mathematical terms:

\frac{a^3}{T^2}=constant, where <em>a</em> is the semi-major axis of the orbit (the distance from the center), and <em>T </em>is the orbital period of the satellite.

From this expression we can clearly see that if the orbit's semi-major axis is doubled, orbital period will be \sqrt{8} times longer to compensate the variation.

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