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August 22, 2014

August 22, 2014

Posted by **Lost** on Tuesday, March 6, 2012 at 2:22am.

Orbits and Distance Johannes Kepler (1571–1630)discovered a relationship between a planet’s distance

D from the sun and the time T it takes to orbit the sun. This formula is , where T is in

Earth years and corresponds to the distance

between Earth and the sun, or 93,000,000 miles.

(a) Neptune is 30 times farther from the sun than

Earth . Estimate the number of years

required for Neptune to orbit the sun.

(b) Write this formula with rational exponents

- ALG/TRIG -
**Damon**, Tuesday, March 6, 2012 at 4:19amT = k D^(3/2)

let x = 93,000,000 miles

for earth

1 year = k x^(3/2)

k = 1/x^(3/2)

for Neptune

T = [1/x^3/2) (30x)^(3/2)

T = 30^(3/2) = 164 years

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