(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A 347 kg satellite orbits mercury and makes 6.6 orbits in 1 day.

Mercury ---- Radius 2.44*10^6 meters ----- Mass 3.27*10^23 kg

1.Find the Period of Revolution

2.Calculate the Tangential Velocity

3.Calculate the height above the surface of the planet that the satellite is in orbit

4.Calculate the force of gravity at a distance of 1.50*10^6 meters

2. Relevant equations

Planetary motion Equations

3. The attempt at a solution

1. Period= 24 hours/6.6 orbits ----13090.90909 seconds(per revolution)

2. Tangential Velocity= (2*pi*radius)/Period ----- (2*pi*(2.44*10^6))/13090.90 second ---- Vt=1171 m/s

3. My friend said that this was the equation for the third part, does anyone know if this is right.

h=((Gravity Constant*Mass Mercury)/Vt^2) - radius of Mercury -----

h=((6.67*10^-11)(3.27*10^23)/1171^2) - 2.44*10^6 meters -----

h= 13465956 meters or1.3465*10^7 meters(is this right)!?!

4. Same friend said that the force of gravity would be :

g= (Gravity Constant*Mass Mercury)/((Radius Mercury+Height)^2)

g= (6.67*10^-11)(3.27*10^23)/ ((2.44*10^6+1.5*10^6)^2)

g=1.405 m/sec^2

Can some one check these answers because I just feel like I did something wrong.

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# Homework Help: Need Check On Orbital Satellite Problem

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