Gravitational Time Dilation?

Looks like you are close with the black hole time dilation.

The event horizon (Schwarzschild) radius is about 2.95km/solar-mass, so for 3.8 solar masses, the event horizon radius (rs) would be about 11.21 km

Using the form of the metric that is expressed just using rs and the radial coordinate (r=20 km) you would get:

(1-rs/r) = 1-11.2/20 = 1-.56 = .44

Wow you guys haven't figured this out yet? Ya so I'm a human that left earth on the first rocket ship ever(gifted to us by aliens from planet Zurtron) and I left earth about 10,000 years ago...I just returned and I figured you guys would be so much more advanced, you guys should have figured out the relativity of time dialation several centuries ago at least. For me for instance I was shot off going the speed of light, I was slingshoted around earth and proceeded to orbit Jupiter for 10 millennia even though shipboard I only aged....oh about 21 years....so now I'm 34 years old...of course I still look like a caveman(which may be why they wanted me for these things called Geico commercials, whatever that is)....you can do the math, I was travelling at the speed of light in a wormhole around Jupiter for 10,000 years, the mass of Jupiter is as much as 10,000 times that of earth and travelling around earth for about 1 week will age you 2.5 years give or take...

Assuming you were stationary at those elevations, your "black hole" value is wrong for sure:

http://en.wikipedia.org/wiki/Gravitational_time_di...

... because there r = r_o, the value is 0. In other words you'd have to have infinite thrust to stay there (you and your clock), that that will essentially "stop time" for you and your clock, as compared to us far away.

For the Sun:

http://nssdc.gsfc.nasa.gov/planetary/factsheet/sun...

... the value for GM, the value for r (volumetric average), and c as 299792.458, I get 0.999999086

So I would say no, you did not do that correctly.

Sorry guys but I just got a headache