Friday

July 25, 2014

July 25, 2014

Posted by **Harry** on Friday, December 29, 2006 at 1:49pm.

Using Kepler's Law you find that the anser is 97^(1.5) years. You can estimate this without using a calculator:

97^(1.5) = (100-3)^(1.5) =

[100*(1 - 3/100)]^(1.5) =

100^(1.5)*(1-3/100)^(1.5)=

1000*[1-1.5*3/100 + (1.5)*(0.5)/2 (3/100)^2 + term of order (3/100)^3] =

1000 - 45 + 27/80 + term of order 1/100

27/80 is about 1/3, so the answer is

955.3 years.

**Related Questions**

Physics - How do you calculate. How many years would it take the planet to orbit...

physics help 3!! ** - Based on the following data about planet X (which orbits ...

help help help - The asteroid belt between Mars and Jupiter consists of many ...

science - if all of the following imaginary planets were the same distance from...

ALG/TRIG - Lost is an understatement..please help me understand this. Orbits and...

college algebra - Kepler’s third law. According to Kepler’s third law of ...

college - A newly discovered planet is found to have a circular orbit, with a ...

Physics - The radius of planet X is 5.0 bleems. It takes 4 earth years to ...

earth - planet is in circular orbit around the Sun. Its distance from the Sun ...

math - If planet I is 31.8 million miles from the sun than planet II, then ...