(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have to prove that A1=A2, or the fact that planets will sweep out equal areas in equal amounts of time. The planet I have to do this for is Pluto. Basically, I need help finding the area it "sweeps out" over any length of time of my choosing.

2. Relevant equations

major axis = 11.8 x 10^9 km

eccentricity = .25

minimum orbital velocity = 3.7 km/s

3. The attempt at a solution

So far, I've found the distance of the perihelion and the aphelion.

To do this I did: eccentricity = distance b/w foci / major axis

then i solved for the foci by doing: dis b/w foci = .25 * 11.8e9

that gave me the distance between the foci, so I was able to find out that the perihelion is 4425000000 km away and the aphelion is 7375000000 km.

Now do I just make a triangle for each with the legs being the distance away and the other being time traveled. It's hard to explain, but this picture shows it well:

http://outreach.atnf.csiro.au/education/senior/cosmicengine/images/cosmoimg/kepler2ndlaw.gif [Broken]

So basically, how do I prove that those two areas equal with the info I now have

Any help would be appreciated.

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# Homework Help: Kepler's Second Law

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