Thursday
April 2, 2015

Homework Help: Physics

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

How many years would it take the planet to orbit the sun. How do you calculate. All I have is, that the planet is 97 times farther from sun than earth or 97 Astronomical units

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.

Answer this Question

First Name:
School Subject:
Answer:

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 ...
ALG/TRIG - Lost is an understatement..please help me understand this. Orbits and...
earth - planet is in circular orbit around the Sun. Its distance from the Sun ...
college algebra - Keplerís third law. According to Keplerís third law of ...
physics - The mean distance of the planet Neptune from the Sun is 30.05 times ...
Astronomy - The average distance between the Earth and the Sun is called the ...
Physics - 1. Planet X orbits the sun with a mean orbital radius that is 6200 ...
Math - The period of revolution of a planet around the sun is the time it takes ...

Members