For the purposes of this simulation, a pure-metal planet has a density of 8 grams per cubic centimeter (the density of iron) and a pure-rock planet has a density of 3 grams per cubic centimeter (an average value for silicate rock). Questions to Consider:
Depending on how cooked you like your hard boiled eggs, the eggs should be done perfectly in 10-12 minutes. That said, depending on your altitude, the shape of the pan, the size of the eggs, the ratio of water to eggs, it can take a few minutes more.. Turn off the heat, keep the pan on the hot burner, cover, and let sit for 10-12 minutes. If you have the type of stove burner that doesn't retain any heat when turned off, you might want to lower the temp to low, simmer for a minute, and then turn it off.
This is where your timing needs to be precise. If the eggs sit in the hot water too long, they will overcook and end up with a green yolk. Extra large eggs will need 18 minutes to fully cook, large eggs need 15 minutes, and medium eggs need 12 minutes. Set a timer to prevent over or under cooking. For soft-boiled eggs (runny yolks, solid whites), let the eggs sit for 5 minutes less than the time needed to hard...MORE cook the egg.