Celestial reference frames and the gauge freedom in the post-Newtonian mechanics of the Earth–Moon system

摘要: We introduce the Jacobi coordinates adopted to advanced theoretical analysis of relativistic Celestial Mechanics Earth–Moon system. Theoretical derivation utilizes resolutions on reference frames by International Astronomical Union (IAU) in 2000. The assume that Solar System is isolated and space-time asymptotically flat at infinity primary frame covers entire space-time, has its origin barycenter (SSB) with spatial axes stretching up infinity. SSB not rotating respect a set distant quasars are assumed be rest sky forming Reference Frame (ICRF). second (EMB). EMB locally inertial dynamically sense equation motion test particle moving frame, does contain Coriolis centripetal forces. Two other local frames—geocentric selenocentric—have their origins center mass Earth Moon respectively do rotate dynamically. Each subject geodetic precession both ICRF because relative each other. advantage non-rotating more simple mathematical description metric tensor equations Earth. can converted kinematically one after alignment applying matrix as recommended IAU resolutions. global three introduced order decouple physical effects gravity from gauge-dependent