In my calculus class (high school), I'm writing an exploration paper on time dilation, specifically gravitational time dilation. One of the scenarios I'm thinking of looking at is the time dilation an observer experiences on one planet compared to an observer on earth.
I've done a lot of searching for formula's to use, and I'm still unsure of what to works for my scenario. Obviously the earth and my fictional planet would be rotating. I'd appreciate if anyone knows what formula I can use and how I can derive it. Also I'm hoping it involves some integral calculus in it because the more advanced the math is the better for my paper. Thanks!