Why Doesn't a Satellite's Radial Velocity Increase as It Revolves?

  • Thread starter john fairbanks
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In summary: I don't particularly like the notion of saying a satellite in orbit is "falling", but suppose you could fire a cannon ball over a parabolic shaped mountain on a path that keeps the ball a few cm off the ground the whole time. Is the ball "falling" when it comes down the other side of the mountain?
  • #1
john fairbanks
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Why doesn't a satellite's radial velocity (falling toward the Earth's center of gravity) increase as it it revolving --- I understand why its tangential speed stays the same but what is stopping the satellite from accelerating in its fall -- there is no air resistance up there. In other words, why does it fall at a constant speed and not accelerate by the force of gravity. :confused: thanks
 
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  • #2
john fairbanks said:
Why doesn't a satellite's radial velocity (falling toward the Earth's center of gravity) increase as it it revolving --- I understand why its tangential speed stays the same but what is stopping the satellite from accelerating in its fall -- there is no air resistance up there. In other words, why does it fall at a constant speed and not accelerate by the force of gravity. :confused: thanks
It is accelerating toward the center of its motion all the time. It is called centripetal acceleration. It is the acceleration toward the center of its orbit that casues the direction of its veloctiy to constantly be changing. Some would say it is actually falling all the time, but the path of its fall never intersects the Earth and in fact keeps it at a constant distance from the Earth as it falls past the edge of the earth.
 
  • #3
The attractive force is perpendicular to its motion. This means that only the direction of its motion is changed (to change its speed there need to be a force component in the direction of its motion, which is not the case if the sattelite is in a circular orbit). For objects in other orbits we do find that the radial velocity component changes.
 
  • #4
but isn't it wrong to say the object (satellite) is falling at a constant rate, because the rate would increase the longer it falls... the speed increases in a free fall -- especially with no air resistance -- so all this language about an object free falling around the Earth is wrong I think.
 
  • #5
john fairbanks said:
but isn't it wrong to say the object (satellite) is falling at a constant rate, because the rate would increase the longer it falls... the speed increases in a free fall -- especially with no air resistance -- so all this language about an object free falling around the Earth is wrong I think.
I don't particularly like the notion of saying a satellite in orbit is "falling", but suppose you could fire a cannon ball over a parabolic shaped mountain on a path that keeps the ball a few cm off the ground the whole time. Is the ball "falling" when it comes down the other side of the mountain? It's just a matter of how you want to describe the motion. The impoortant thing is to recognize that the ball and the satellite are both accelerating the whole time.
 

Related to Why Doesn't a Satellite's Radial Velocity Increase as It Revolves?

1. What is a satellite's revolution?

A satellite's revolution refers to its orbit around a celestial body, such as the Earth. This orbit is typically in a circular or elliptical path and can vary in distance from the surface of the body.

2. How do satellites revolutionize communication?

Satellites revolutionize communication by providing a means of transmitting signals and data over long distances without the need for physical infrastructure. This allows for global communication and connectivity, including television broadcasts, phone calls, and internet access.

3. What are the benefits of satellite technology?

The benefits of satellite technology include improved communication and connectivity, remote sensing and monitoring capabilities, weather forecasting, navigation, and scientific research. Satellites also play a crucial role in disaster response and management.

4. What are some challenges faced in satellite revolution?

Some challenges in satellite revolution include the high cost of launching and maintaining satellites, potential space debris and collisions, interference with other satellites, and the need for constant monitoring and maintenance to ensure functionality.

5. How has satellite technology evolved over time?

Satellite technology has evolved significantly since its inception in the 1950s. Advancements in technology have led to smaller, more efficient satellites with improved capabilities and longer lifetimes. The use of multiple satellites in constellations has also increased coverage and data collection capabilities.

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