Friday

December 19, 2014

December 19, 2014

Posted by **Michael Moskvich** on Sunday, April 4, 2010 at 1:05am.

What is the speed of a geosynchronous satellite orbiting Mars?

What is the altitude of a geosynchronous satellite orbiting Mars?

- Physics 203 -
**drwls**, Sunday, April 4, 2010 at 10:50amIt is easiest to do the second part of the question first.

You need to use Kepler's Third Law in the form that relates the period (P), the orbital radius measured from the center of the planet (a), and total mass of the system (which in in this case is mainly the mass of Mars) M. You will need to use the Newton gravitational contstant, G.

That law is:

P^2 = 4 pi^2 a^3/(G M)

where G = 6.674*10^-11 m^3/(kg s^2)

Look up the mass of Mars, insert P = 24.8 days (converted to seconds) and solve for the distance a. Subtract the radius of Mars to get the altitude.

Once you know P and a, the velocity of the satellite is

V = 2 pi a/P

**Answer this Question**

**Related Questions**

Physics - Mars rotates on its axis once every 24.8 hours. What is the altitude ...

Math - A geosynchronous equatorial orbiting satellite orbits 22,300 miles above ...

Physics - The period of Mars' rotation is 24 hours, 37 minutes, and 23 seconds...

physics - Calculate the velocity needed for an object starting at the Earth's ...

phy101 - Calculate the velocity needed for an object starting at the Earth's ...

Physics - A satellite with an orbital period of exactly 24.0 h is always ...

physics - Which of these cannot occur? A) A satellite orbiting about the equator...

physics - Scientists want to place a 3300 kg satellite in orbit around Mars. ...

Physics - During the war in iraq, the us military was extremely successful at ...

Physics - Determine the value that has the largest total energy. Assuming that ...