How Is the Moon's Mass Calculated Using Satellite Orbit Data?

  • Thread starter steven1495
  • Start date
  • Tags
    Mass Moons
In summary, the conversation discusses the calculation of the moon's mass based on the orbital period and radius of a satellite in circular orbit around the moon. The use of the equation for centripetal force and the force of gravity is suggested, with the gravitational constant, μ, being explained as the product of G and the mass of the object being orbited.
  • #1
steven1495
20
0

Homework Statement


A satellite is in circular orbit around the moon 250.0km above the moon's surface, and takes 2.000 hours and 14.00 minutes for one revolution of the moon. Calculate the moons mass.

The radius of the moon is 1737.4km, so if you add the extra 250.0km the satellite is above, the total radius is 1987.4km

please help
 
Last edited:
Physics news on Phys.org
  • #2
what sort of attempt have you made? You should have some formulas about centripetal force and the force due to gravity that you could use.
 
  • #3
Would you be able to use the equation in this picture? instead of solving for the time, which we could figure out easy enough, we solve for the mass, but instead of the sun, we change all the values to the ones for the moon, if you get my meaning
 

Attachments

  • 1305765361-earth-orbit-sun-365-physics-none-wallpaper.jpg
    1305765361-earth-orbit-sun-365-physics-none-wallpaper.jpg
    11.3 KB · Views: 441
  • #4
yes, that would work
 
  • #5
What does "μ" mean?
 
  • #6
it says there in the image

it's the gravitational constant G multiplied by the mass of what's being orbited. In the image, the sun is being orbited; in your problem, the moon is being orbited.
 
  • #7
Whats the gravitational constant?
 
  • #8
http://en.wikipedia.org/wiki/Gravitational_constant

do you recognize this equation:

[itex]F = G\frac{Mm}{r^{2}}[/itex] ?

I'm not sure why you'd be given a problem like this and not know that equation. The G in that equation is the gravitational constant.
 

1. How is the mass of the moon calculated?

The mass of the moon is calculated by using Newton's Law of Universal Gravitation, which states that the force of gravity between two objects is directly proportional to their masses and inversely proportional to the square of the distance between them. By measuring the gravitational pull between the Earth and the moon, scientists can determine the moon's mass.

2. What units are used to measure the moon's mass?

The moon's mass is typically measured in kilograms (kg) or Earth masses (M⊕). One Earth mass is equal to about 5.97 x 10^24 kg.

3. How accurate is the current measurement of the moon's mass?

The current measurement of the moon's mass is considered to be highly accurate, with a margin of error of only about 0.0002%. This is due to advancements in technology and the use of precise instruments such as satellites and laser ranging systems.

4. Why is it important to calculate the moon's mass?

Calculating the moon's mass is important for understanding the dynamics of the Earth-moon system and for making accurate predictions about the moon's orbit and gravitational influence. It also provides valuable information for studying the formation and evolution of the moon and its impact on Earth's tides.

5. Can the moon's mass change over time?

Yes, the moon's mass can change over time due to various factors such as meteorite impacts, tidal interactions with the Earth, and the gradual loss of gases from the moon's surface. However, these changes are relatively small and have a minimal impact on the overall calculation of the moon's mass.

Similar threads

  • Introductory Physics Homework Help
Replies
12
Views
1K
Replies
1
Views
956
  • Introductory Physics Homework Help
Replies
7
Views
1K
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
2K
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
14
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
807
  • Introductory Physics Homework Help
Replies
17
Views
2K
Back
Top