Problem 5: Suppose you are told that a satellite orbiting the Earth has a orbital period of 0.85 hours.a)Using the orbital characteristics of the Moon (RM = 3.84 × 105km and TM = 0.0748 y), use Kepler's laws to calculate the orbital radius for the satellite, in kilometers.b)What is unreasonable about this result?MultipleChoice   :1) This radius is unreasonable because it is smaller than the orbital radius of the Moon.2) There is nothing unreasonable about the result.3) This radius is unreasonable because it is greater than the radius of the Earth.4) This radius is unreasonable because it is greater than the orbital radius of the Moon.5) This radius is unreasonable because it is smaller than the radius of Earth.

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Asked Nov 14, 2019
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Problem 5: Suppose you are told that a satellite orbiting the Earth has a orbital period of 0.85 hours.

a)Using the orbital characteristics of the Moon (RM = 3.84 × 105km and TM = 0.0748 y), use Kepler's laws to calculate the orbital radius for the satellite, in kilometers.

b)What is unreasonable about this result?
MultipleChoice   :

1) This radius is unreasonable because it is smaller than the orbital radius of the Moon.
2) There is nothing unreasonable about the result.
3) This radius is unreasonable because it is greater than the radius of the Earth.
4) This radius is unreasonable because it is greater than the orbital radius of the Moon.
5) This radius is unreasonable because it is smaller than the radius of Earth.

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Expert Answer

Step 1

Given,

Т, 3 0.85 hr
Ty 0.0748 yr
0.0748yr365 days24 hr
Tи
1
lyr
1day
Tu 655.25 hr
RM 3.84 x10 km
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Т, 3 0.85 hr Ty 0.0748 yr 0.0748yr365 days24 hr Tи 1 lyr 1day Tu 655.25 hr RM 3.84 x10 km

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Step 2

Part(a)

Applying Kepler’s third law, which states that the square of the period of orbit is proportional to the cube of the semi major axis of its orbit. i.e.:

т' с
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т' с

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Step 3

Now, if TS is the time period of the satellite and TM is the time period o...

Т.
T
R,
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Т. T R,

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