Interaction of a three-mass system with gravitational waves

Computer Science

Scientific paper

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Gravitational Waves, Tensor Analysis, Ternary Systems, Wave Interaction, Differential Equations, Equations Of Motion, Fourier Transformation, Polarization (Waves), Riemann Manifold

Scientific paper

The interaction of a harmonically bound three-mass system with gravitational waves is analyzed in detail. The system resonantly responds to two polarization states of gravitational waves at a given frequency and transforms the two polarization states into two kinds of vibrations which can be clearly distinguished. The averaged cross section and maximum cross section also are given. As compared with a two-mass system under the same conditions, the three-mass system is at the maximum 1.2 times as large as the averaged cross section of the two-mass system, and its maximum cross section is at the maximum 1.5 times as large as that of the two-mass system.

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