Annoying ellitpical orbit problem

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In summary, the annoying elliptical orbit problem refers to the difficulty in predicting the movements of an object in an elliptical orbit around a larger object, caused by the varying gravitational pull. This can affect satellites and spacecraft, but solutions such as mathematical calculations and thruster adjustments can minimize its impact. However, there are also benefits to an elliptical orbit, such as wider observation range and the use of gravitational slingshot maneuvers.
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superaznnerd
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Homework Statement



a planet in elliptical orbit about a star has speed of 100 m/s at its closest approach of 1X 10^10m . what is the speed at its furthest approach of 3X10^10m? What has happened to its total mechanical energy?

Homework Equations





The Attempt at a Solution

 
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You have to at least give it a try before asking for help.
 
  • #3
I tried to figure out it using mGh+1/2mv^2 = mechanical energy original = mechanical energy final. However, I know there has to be an easier way to do it, using ratios. Could you please tell me the trick?
 

FAQ: Annoying ellitpical orbit problem

1. What is an annoying elliptical orbit problem?

The annoying elliptical orbit problem refers to a situation where an object in orbit around another object, such as a planet, has an elliptical orbit that causes it to fluctuate in distance and speed, making it difficult to predict its movements.

2. What causes an annoying elliptical orbit problem?

An elliptical orbit is caused by the gravitational pull of the larger object, which varies in strength depending on the distance between the two objects. As the orbiting object moves closer to the larger object, the gravitational pull increases, causing it to speed up. As it moves further away, the gravitational pull decreases, causing it to slow down.

3. How does an annoying elliptical orbit problem affect satellites and spacecraft?

Annoying elliptical orbit problems can make it difficult for satellites and spacecraft to maintain a stable orbit, as the changing speed and distance can cause them to deviate from their intended trajectory. This can lead to communication and navigation issues, as well as potential collisions with other objects in orbit.

4. Can an annoying elliptical orbit problem be solved?

While it is not possible to completely eliminate the effects of an elliptical orbit, scientists and engineers can use mathematical calculations and adjustments to minimize its impact on satellites and spacecraft. This can include adjusting the orbit's trajectory and using thrusters to correct for any deviations.

5. Are there any benefits to an elliptical orbit?

Yes, there are some benefits to an elliptical orbit. It can allow for a wider range of observation and data collection, as the object will pass through different distances and angles in its orbit. It can also be used for gravitational slingshot maneuvers to conserve fuel and reach distant destinations in space.

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