You are a renowned Mathematician-In-Residence on a planet orbiting a black hole. Your mission is to solve a series of brainteasers that will save the planet from being pulled into the event horizon.
A black hole with a mass of 10^6 solar masses is approaching your planet at 90% of the speed of light. If you can calculate the time it takes for the planet to reach the event horizon, you can send a distress signal and save the planet!
T = 2 \* sqrt(10^6 \* (1 - 0.9)^(-2))
What is the value of T?
Hint: You may need to use the Lorentz factor...