Objective
Compute a probability distribution of two preexisting, orbiting black holes merging as a function of initial mass and radius in a given time.
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Outline
The first step to computationally analyzing a merger probability is to find a time equation as a function of radius and mass.
Monte Carlo MethodIn analytics, the biggest problem is finding a large enough sample of data to run. However, one can greatly expand a limited database by randomly sampling over probability distributions.
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Randomly sampling data requires knowledge of how often to select which data points. By examining known data sets we can figure out naturally occurring distributions.
ProbabilityWith equations, distributions, and large iterations all in place, it becomes possible to create a distribution of expected probabilities for a merger of binary black holes.
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Is it realistic to assume black holes will merge?
In binary systems with large gravitational fields, space-time becomes warped due to gravitation of the rotating bodies. In exchange for this warping, these system emits energy in the form of gravitation waves. Since the system loses energy, the orbits of the objects must come closer together to compensate.