http://www.cakes.mcmail.com/StarTrek/quantum.htm
BTW: Can someone be kind enough to summarise it for us idiots please?
In the episode Hunters, Taylor 1997, a relay station in the Delta Quadrant is located that uses a quantum singularity as a power source. The implication here is that the station has been constructed around a natural object as opposed to the singularity having been created for the purpose.
However while approaching the object the Voyager is shaken by gravitational radiation. At this point they are still at two light years from the object. We are told the singularity measures 1 cm in diameter, therefore it must have a Schwarzschild Radius of 0.005 metres.
It is comparatively easy to deduce the mass of the singularity by re-arranging the equation:
Rsch = 2GM/c2
Where G is the gravitational constant of the universe
c is the speed of light in a vacuum
M is the mass of the object.
\ .005 = 2 * 6.668*10-11 * M /299, 792, 500
449377715281250 = 1.3336-10*M
M equals 3,369,658,932,822,810,437,912,417.52 kilograms to two decimal places. M = 3.4*1024 Kg.
Now all we need use are Newton’s equations of gravity to calculate the acceleration due to gravity the Voyager would feel at a distance of two light years.
BTW: Can someone be kind enough to summarise it for us idiots please?