Posted by Mandy on Thursday, October 11, 2007 at 8:54pm.
The average radius r in meters of a planet's path around the sun is given by the formula r=[(3.35 x 10^18)t^2]^1/3, where t is the time in seconds that it takes the planet to go around the sun.
a. Rewrite the equation using the root symbol.
b. Neptune takes about 5.2 x 10^9 seconds to go around the sun. What is the average radius of Neptune's ath around the sun?
c. The time it takes a planet to go around the sun is called a year. Compare Neptune's year with Earth's year. Which planet has the longer year? How much longer is it.?

Math  tchrwill, Friday, October 12, 2007 at 3:02pm
b. Neptune takes about 5.2 x 10^9 seconds to go around the sun. What is the average radius of Neptune's ath around the sun?
c. The time it takes a planet to go around the sun is called a year. Compare Neptune's year with Earth's year. Which planet has the longer year? How much longer is it.?
bSince the planet;s period is defined by P = 2Pisqrt(r^3/µ), where r == the planets orbital radius and µ = the gravitational constant of the sun, solving for r yields r = (µP^2/4Pi^2)^(1/3).
Thus,
r = [4.68772x10^21(5.2x10^9)/4Pi^2]^1/3 = 2,794,059,276 miles.
cSubstitute the Earth's mean radius, 92,960,242 miles, and Neptunes mean radius, just calculated, into the expression for period given above, to get the comparison of orbital periods.

robkget gphfidcj  robkget gphfidcj, Sunday, December 28, 2008 at 8:34am
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