- #1
Vickyvicksss
- 5
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Homework Statement
A satellite is to be placed in orbit about the Earth at an altitude of 1.6 x 10 6m. What will be its period of motion?
The answer is 7.2x 103s
2. The attempt at a solution
Using kelper's third law.
R3 / T2 = R3 / T2
Radius of satellite: 6.38 x 106 + 1.6 x 106 = 7.98 x 106
Radius of earth: 6.38 x 106
Period of satellite: ?
Period of earth: 3.16 x 107
When I plugged these numbers in, I get 4.42 x 107s
I've used the formula before without any problems, so that's not the issue.
3. Homework Statement
Determine the radius of a satellite's synchronous orbit around Uranus. Your very friendly, local astronomer informs you that uranus' moon, Miranda, has an average radius of revolution of 1.24 x 105 km with a period of revolution of 1.4 Earth days.
The answer is 5.8 x 107m
4. The attempt at a solution
Same thing as above, I used kelper's third law.
R3 / T2 = R3 / T2
Radius of Miranda: 1.24 x 105
Radius of satellite: ?
Period of miranda: 1.4 days * 3600 * 24 = 120960s
Period of satellite: (I'm assuming this is period of Uranus?) 2.66 x 109
I plugged these numbers in and I got 9.73 x 107m
Thank you in advance!~~ :)