Flight Question Need help with my first slingshot

The issue is that I am just changing a lot of variables without understanding what some of them actually do in detail, and I know there has got to be a better technique. I want to understand what I'm doing as I am doing it.

Let's start from the beggining: do you know anything about [ame="http://en.wikipedia.org/wiki/Hohmann_transfer_orbit"]Hohmann transfer[/ame]?

With a Hohmann transfer and a good launch date you can take a DG anywhere in the Solar System launching from Earth surface w/o unlimited fuel (well, except for landing on Mercury, AFAIK...).
 
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Well I finally made it! I started a new scenario and managed to get from Earth to Jupiter to Saturn, but I had only a tiny bit of fuel left when I got there. I ended up passing through the rings and descending into the atmosphere, but I was so happy to be there I didn't care. What a glorious death!
 
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