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## Homework Statement

Find the radius R of the orbit of a geosynchronous satellite that circles the earth. (Note that R is measured from the center of the earth, not the surface.) You may use the following constants:

* The universal gravitational constant G is [tex]6.67 \times 10^{-11}\;{\rm N \; m^2 / kg^2}[/tex].

* The mass of the earth is [tex]5.98 \times 10^{24}\;{\rm kg}[/tex].

* The radius of the earth is [tex]6.38 \times 10^{6}\;{\rm m}[/tex].

The correct answer is [tex]4.23\times10^7\;{\rm m}[/tex], but I get a different answer.

## Homework Equations

[tex]T=2\pi\sqrt{\frac{R^3}{GM}}[/tex]

## The Attempt at a Solution

Since T is measured in seconds, and there are 86,400 seconds in a day, some simple algebra gives me the answer of 1,994,400,816 m. What am I doing wrong?