Unformatted text preview: can be simplified down to period #1 = period #2 × Sqrt [(distance #1/distance #2) 3 ] OR period #1 = period #2 × (distance #1/distance #2) 3/2 . Those of you with a scientific calculator (one that does powers, trig functions, scientific notation, etc.) will want to use the formula on the last line (remember that 3/2 = 1.5). Those with a calculator that just has a square root button will want to use the formula on the second-to-last line. If the satellite is orbiting the Sun, then the relation can be greatly simplified with an appropriate choice of units: the unit of years for the orbit period and the distance unit of astronomical units. In this case, the reference ``satellite'' is the Earth and Kepler's third law becomes period = distance 3/2 . Let's use this to find out how long it takes to explore the solar system....
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- Fall '10
- Astronomy, Period, Kepler's laws of planetary motion, Celestial mechanics, Semi-major axis