Satellite orbital speed homework

In summary, satellite orbital speed is the speed at which a satellite orbits around a celestial body and is important for determining the height and stability of its orbit. It is calculated using a formula and can change due to various factors. Satellite orbital speed also affects communication and data transmission and is carefully monitored and maintained by scientists to ensure the satellite stays on its intended trajectory.
  • #1
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1. A satellite has an orbital speed of 4.2 x 10^3 m/s. What is its altitude above Earth's surface?
mass of earth= 5.98x10^24kg
radius of Earth = 6.38x10^6m

2. acceleration and force are both centripetal
a=(v^2)/r
F=ma
possibly v^2=(Gmg)/r

3. Need help with algebra
h= distance from Earth surface to satellite
I got h= [(4.2x10^3)^2/a] - 6.38x10^6
 
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  • #2


Use the fact that to remain in a circular orbit, the gravitational force must equal the centripetal force.

You do not need to know acceleration of the satelite
 

Related to Satellite orbital speed homework

1. What is satellite orbital speed and why is it important?

Satellite orbital speed is the speed at which a satellite orbits around a celestial body, typically the Earth. It is important because it determines the height and stability of a satellite's orbit, which affects its ability to perform its intended functions.

2. How is satellite orbital speed calculated?

Satellite orbital speed is calculated using the formula v = √(GM/R), where v is the orbital speed, G is the gravitational constant, M is the mass of the celestial body, and R is the distance from the center of the celestial body to the satellite.

3. Can satellite orbital speed change?

Yes, satellite orbital speed can change due to various factors such as atmospheric drag, gravitational pull from other celestial bodies, and changes in the satellite's altitude. This is why constant monitoring and adjustments are necessary for satellites in orbit.

4. How does satellite orbital speed affect communication and data transmission?

Satellite orbital speed plays a crucial role in communication and data transmission as it determines the time it takes for a signal to reach the satellite and return to Earth. A higher orbital speed allows for quicker transmission, but also requires more precise tracking and communication equipment.

5. How do scientists ensure that satellites maintain their orbital speed?

Scientists and engineers carefully plan and monitor the trajectory of satellites to ensure they maintain their orbital speed. This includes regular adjustments and corrections using thrusters, as well as monitoring for any potential collisions or disturbances from other objects in space.

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