Planetary theories in rectangular and spherical variables - VSOP 87 solutions

Statistics – Computation

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Celestial Mechanics, Planetology, Precession, Secular Variations, Solar System, Algorithms, Computational Astrophysics, Earth-Moon System, Orbit Perturbation, Solar Orbits, Variable

Scientific paper

Up to this time, the VSOP (Variations Séculaires des Orbites Planètaires) analytical solutions of the motion of the planets were only represented in elliptic variables, but the cartesian or spherical variables are much more convenient in many problems: determination of the planetary perturbations of the Moon, analytical expressions for the computation of the apparent places, analytical expressions of nutation, of the difference TDB-TDT. From an analytical solution of the motion expressed with elliptic elements, the authors hence build different representations. The solutions are expressed with rectangular variables X, Y, Z or with spherical variables, longitude, latitude and radius vector. The different reference frames used are the dynamical ecliptic and equinox J2000.0, the ecliptic and equinox of date. The origin is the Sun or the barycenter of the solar system.

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