Satellite motion and Moment of Momentum

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Homework Statement

http://img194.imageshack.us/img194/4638/001ofa.jpg

Homework Equations

Not too sure to be honest.

The Attempt at a Solution

Well, r1 cross product m v1 = r2 cross m v2
But, there is a force applied so I have to take that into account.
I was thinking,
The moment of momentum after the thrust = Moment of momentum when it first enters the second orbit

r1 m v1 = r1 m v2

gives
v2/v1 = 7
But I am not being able to take that any further.

I'm trying to use energy relations but it gives me an equation in terms of GM (gravitational constant and mass of planet).

I have no idea where to begin. Maybe you guys could point me to the right direction?

 

[graphene]

pal, where's your question ?

 

[___]

http://img194.imageshack.us/img194/4638/001ofa.jpg

Can the image not be seen? I've scanned the question and posted it there...
I got rid of it and now there's a link.

 

[Redbelly98]

Hint: what is the equation of motion for a satellite in a circular orbit?

 

[SammyS]

Homework Statement

[PLAIN]http://img194.imageshack.us/img194/4638/001ofa.jpg

Homework Equations

Not too sure to be honest.

The Attempt at a Solution

Well, r1 cross product m v1 = r2 cross m v2
But, there is a force applied so I have to take that into account.
I was thinking,
The moment of momentum after the thrust = Moment of momentum when it first enters the second orbit

r1 m v1 = r1 m v2

gives
v2/v1 = 7
But I am not being able to take that any further.

I'm trying to use energy relations but it gives me an equation in terms of GM (gravitational constant and mass of planet).

I have no idea where to begin. Maybe you guys could point me to the right direction?

Use the image feature to get your image to show.
The literal string of characters I used was:
$$\text{[PLAIN]http://img194.imageshack.us/img194/4638/001ofa.jpg }$$

 

[SammyS]

The Attempt at a Solution

Well, r1 cross product m v1 = r2 cross m v2
But, there is a force applied so I have to take that into account.
I was thinking,
The moment of momentum after the thrust = Moment of momentum when it first enters the second orbit

r1 m v1 = r1 m v2

gives
v2/v1 = 7
But I am not being able to take that any further.

I'm trying to use energy relations but it gives me an equation in terms of GM (gravitational constant and mass of planet).

I have no idea where to begin. Maybe you guys could point me to the right direction?

What is the centripetal acceleration in each of the circular orbits. How does the centripetal force supplied the planet's gravity compare for the two circular orbits.

Yes, using angular momentum (moment of momentum) may be helpful.

I think using energy relations is a very good idea. Yes, of course it will include GM. That should not be a problem.

You should be able to answer part (d) first. That may be the biggest help of all.