Orbital Radius and Period: Doubling the Orbit

Thread starter flynostrich08
Start date Jun 15, 2010
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Satellite

AI Thread Summary

To double the orbital period of a satellite, the orbital radius must be increased by a factor of approximately 1.59. The calculation used the formula T1/T2 = (r1/r2)^(3/2), leading to r1/r2 = (T1/T2)^(2/3). Substituting T1/T2 = 2 results in 2^(2/3) = 1.59. The solution appears to be correct based on the provided formulas and values. Understanding this relationship is crucial for satellite mechanics and orbital dynamics.

Jun 15, 2010

flynostrich08

Homework Statement

A satellite is orbiting above the earth. By what factor must the orbital radius be changed in order to double the period of the orbit? (Mearth = 5.98 x 1024kg, Rearth = 6.36x106m)

The Attempt at a Solution

i got 1.59 by T1/T2=(r1/r2)^3/2 so r1/r2=(T1/T2) ^2/3 so 2^2/3 =1.59 but i have no clue if i did that right

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Jun 15, 2010

collinsmark

Science Advisor

Homework Helper

Looks okay to me. :approve:

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