1. The problem statement, all variables and given/known data
A satellite orbits, what should it do to move to a larger orbit (a greater radius)
2. Relevant equations
Velocity in orbit: ##v=\sqrt{\frac{GM}{r}}##
3. The attempt at a solution
There are 2 options. the first, to my opinion, is to increase the velocity in the direction of travel, meaning forward. then it will go out of it's orbit, like in the drawing, and start making an ellipse.
When it reaches the outer orbit it has to slow down and to gain tangential velocity.
Because it's trajectory isn't round after it increased the speed, the radial gravity force slows it down, and it's possible to give it just enough more speed so it reaches the outer orbit with appropriate speed and will not need to be slowed down, just diverted.
The other possibility is to give it just enough radial speed to reach the outer orbit and then slow down the tangential velocity. i don't know which method is more economic.
A satellite orbits, what should it do to move to a larger orbit (a greater radius)
2. Relevant equations
Velocity in orbit: ##v=\sqrt{\frac{GM}{r}}##
3. The attempt at a solution
There are 2 options. the first, to my opinion, is to increase the velocity in the direction of travel, meaning forward. then it will go out of it's orbit, like in the drawing, and start making an ellipse.
When it reaches the outer orbit it has to slow down and to gain tangential velocity.
Because it's trajectory isn't round after it increased the speed, the radial gravity force slows it down, and it's possible to give it just enough more speed so it reaches the outer orbit with appropriate speed and will not need to be slowed down, just diverted.
The other possibility is to give it just enough radial speed to reach the outer orbit and then slow down the tangential velocity. i don't know which method is more economic.
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