Physics
10.01.2020 11:26
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Asatellite is placed in a circular orbit with a radius equal to one-third the radius

Asatellite is placed in a circular orbit with a radius equal to one-third the radius of the moon's orbit. what is its period of revolution in lunar months? (a lunar month is the period of revolution of the moon.)
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bebo14
bebo14
4,8(5 marks)

0.19245 lunar months

Explanation:

T = Orbital time

r = Radius

r_2=\dfrac{1}{3}r_1

1 denotes the moon

2 denotes the satellite

From Kepler's law we have

T^2=\dfrac{4\pi^2r^3}{GM}

So,

\\\Rightarrow T\propto \sqrt{r^3}

\dfrac{T_2}{T_1}=\sqrt{\dfrac{r_2^3}{r_1^3}}\\\Rightarrow \dfrac{T_2}{T_1}=\sqrt{\dfrac{\left(\dfrac{1}{3}r_1\right)^3}{r_1^3}}\\\Rightarrow \dfrac{T_2}{T_1}=0.19245\\\Rightarrow T_2=0.19245T_1

The period of revolution of the satellite is 0.19245 lunar months

shayla3613
shayla3613
4,7(21 marks)

wt f i dont care

Explanation:

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