Mathematical description of the effect of gravitational waves on test masses inside “SOIGA” spacecrafts taking into account perturbing accelerations of gravitational nature

S.S. Donchenko, R.A. Davlatov, E.A. Lavrov, D.A. Sokolov, I.O. Skakun

FSUE “VNIIFTRI”, Mendeleevo, Moscow region, Russia
donchenko_ss@vniiftri.ru,
davlatov_r_a@mail.ru,
lavrov@vniiftri.ru,
sokolov@vniiftri.ru,
skakun@vniiftri.ru

Al’manac of Modern Metrology № 3 (35) 2023, pages 120–136

Abstract. The paper is devoted to a mathematical description of the response of a laser interferometric detector, when a gravitational wave passes through it, for the case of an arbitrary relative orientation of the gravitational wave source and interferometer arms. Formulas are given to calculate the mass and frequency of binary systems of black holes or neutron stars, which are the most probable gravitational wave sources for the “SOIGA” gravitational wave antenna. The impact of perturbing accelerations of gravitational nature on the sample masses inside the “SOIGA” spacecraft is described.

Keywords: gravitational wave antenna, spacecraft, inter-satellite interferometer.

Full texts of articles are available only in Russian in printed issues of the magazine.