Abstract
Gravitational waves are related to black holes in the context of two-body motion. However, the two-body problems are not held in general relativity. Consequently, analytical models have been developed to describe the behavior of binary systems before they merge. During this process, gravitational waves emit as the separation between the components of the binary system decreases. These models can be categorized into two parts: models for the inspiral phase, which rely on the post-Newtonian approximation, and models for the merger phase, which are based on numerical solutions to the equations of general relativity. We implemented two distinct models for the inspiral phase to compare their agreement. We found a complete agreement in all aspects except for the timing of the detection of gravitational waves, even though both models were conducted under the same conditions.
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