Calculating Altitude of Synchronous Orbit on Rotating Pluto

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To calculate the altitude of a synchronous orbit above Pluto, one must consider Pluto's mass, which is 1.196 x 10^22 kg, and its rotation period of 6.39 days. The period needs to be converted into seconds to determine the angular velocity using the formula ω = 2π/T. Newton's second law of dynamics is relevant for understanding the forces acting on the satellite in orbit. Participants in the discussion emphasize the importance of gravitational attraction in this calculation. The conversation highlights the need for a solid grasp of these concepts to solve the problem effectively.
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A satellite hovers over a certain spot on the equator of (rotating) Pluto. What is the altitude of its orbit (called a "synchronous orbit")?
 
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CinderBlockFist said:
A satellite hovers over a certain spot on the equator of (rotating) Pluto. What is the altitude of its orbit (called a "synchronous orbit")?

You need to know:
1.Mass of Planet Pluto.

2.The 2-nd law of dynamics.

3.The law of gravitational attraction.

4.The period of rotation around its axis for the planet Pluto.

Daniel.
 
ok thanks brb , sheesh this is killing me.
 
Well i know

Mass of Pluto = 1.196 x 10 ^ 22 kg

Period of Rotation = 6.39 days

I don't know where i go from there?
 
U'll need the \omega=\frac{2\pi}{T}

So express the T (period in seconds).Then find the angular velocity and then appy the 2-nd law of dynamics...

Daniel.
 
Is 2nd law of dynamics, you mean Newtons 2nd law? Because I haven't taken dynamics class yet.
 
Yes,of course.Report any bad results,if any.

Daniel.
 
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