1. Orbit
Orbit condition
Example
Whiteboards

2. = Orbit msv2 r or Gmsmc ms42r T2 r2
Example 1 - What is the velocity of orbit 250 miles above the earth?
r = 6.38x106 m + (250 mi)(1609 m/mi) = m
mc = 5.97 x 1024 kg, use mv2/r = Gmm/r2
Do algebra first!!!!!!!!
How to enter on calculator
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3. = Orbit msv2 r or Gmsmc ms42r T2 r2
Example 2 - What is the radius of a geosynchronous orbit?
T = 23:56:04 = 23(3600) + 56(60) + 4 = s
mc = 5.97 x 1024 kg, use m42r/T2 = Gmm/r2
Algebra
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4. Whiteboards:
Orbit
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5. What is the velocity of orbit 7
What is the velocity of orbit 7.2 x 106 m from the earth’s center for a 23.5 kg object?
Me = 5.97 x 1024 kg
= Gmsmc r2
msv2 r
7436 m/s W
7400 m/s

6. At what distance from the moon’s center is the orbital velocity 52
At what distance from the moon’s center is the orbital velocity 52.5 m/s?
Mm = 7.36 x 1022 kg
= Gmsmc r2
msv2 r
r = Gmc v2 m W
1.78 x 109 m

7. You are orbiting 2.3 km from the center of an asteroid in a 24,600 kg spacecraft with a period of 2500 seconds. What must be the mass of the asteroid?
= Gmsmc r2
ms42r T2
mc = 42r3
GT2
E+15 kg W
1.2 x 1015 kg

8. You are orbiting 8.5 x 106 m from the center of a planet with a mass of 4.5 x 1024 kg. Your spaceship has a mass of 45,120 kg. What is your period of motion?
= Gmsmc r2
ms42r T2
42r3
Gmc
T =  s W
9.0 x 103 s