Over a decade investigating science?!?! And you still get almost everything wrong? Consider your nonsense that we don't know the radii or masses of Earth and moon (let alone Mars, Jupiter, Saturn and Uranus), and then check out this little gem
on the Wikipedia item on
Gravity Assist Especially look at the course taken by Voyager II.
NASA has used the technique multiple times (the Soviet Union did, too). Without an absolutely excellent estimation of the gravities of the various bodies used by Voyagers I and II, there is no possible way to project what their trajectories would be after using such techniques multiple times, and yet the manouevres worked perfectly every time. Not only that, they are still functioning -- Voyager I is 15,035,084,442 miles from earth as I type this, traveling at 38,026 mph.
Sorry, but you don't know the science you're talking about at all.