Here, a practical method is used to reanalyze the data from the black hole mergers, GW150914, and GW250114. Extensive publications have previously shown that these methods are consistent with gravitational observations. Here, the analyses were undertaken to determine the gravitational forces in the close proximity of binary black holes. By using the two sets of binary data of almost equal masses, these calculations are shown to be accurate. At the combined radius of 1.5( R S 1 + R S 2 ), the force of gravity for GW150914 is F ′ g = 1.33 × 10 43 N, and for GW250114 is F ′ g = 1.34 × 10 43 N, within narrow margins of error. Because of its accuracy at this particular radius, it is useful as a benchmark for further calculations. The analyses also give further information on the inspiral phase of the black holes and on the forces of gravity at various other radii based upon the observed frequency of the gravitational waves. These results also corroborate the maximal observed normalized amplitude and wave frequencies and the velocities of the individual black holes. These methods broaden the understanding and accessibility of black hole gravitational physics and their binary mergers.
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A. Worsley (2026) studied this question.
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