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Results of Constructing Numerical Theories of the Major Planets' Main Satellites

Transactions of IAA RAS, issue 31, 39–48 (2014)

Keywords: numerical integration, dynamical model, satellite, major planet, ephemerides

Abstract

This work presents theories of motion of the main satellites of Jupiter (Io, Europa, Ganymede, Callisto), Saturn (Mimas, Enceladus, Tethys, Dione, Rhea, Titan, Hyperion, Iapetus, Phebe), Uranus (Ariel, Umbriel, Titania, Oberon, Miranda) and Neptune (Triton, Nereid), based on numerical integration. The dynamical models include mutual perturbations of the satellites, disturbances of the Sun, major planets and nonsphericity of the central planet. The initial values of coordinates and velocities were improved as a result of astrometric observations of different types. In addition, several improved parameters were obtained for some satellite systems. We give our residuals, rms and compare our results with those obtained by other authors.

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G. A. Kosmdamianskiy, A. L. Poroshina. Results of Constructing Numerical Theories of the Major Planets' Main Satellites // Transactions of IAA RAS. — 2014. — Issue 31. — P. 39–48. @article{kosmdamianskiy2014, abstract = {This work presents theories of motion of the main satellites of Jupiter (Io, Europa, Ganymede, Callisto), Saturn (Mimas, Enceladus, Tethys, Dione, Rhea, Titan, Hyperion, Iapetus, Phebe), Uranus (Ariel, Umbriel, Titania, Oberon, Miranda) and Neptune (Triton, Nereid), based on numerical integration. The dynamical models include mutual perturbations of the satellites, disturbances of the Sun, major planets and nonsphericity of the central planet. The initial values of coordinates and velocities were improved as a result of astrometric observations of different types. In addition, several improved parameters were obtained for some satellite systems. We give our residuals, rms and compare our results with those obtained by other authors.}, author = {G.~A. Kosmdamianskiy and A.~L. Poroshina}, issue = {31}, journal = {Transactions of IAA RAS}, keyword = {numerical integration, dynamical model, satellite, major planet, ephemerides}, pages = {39--48}, title = {Results of Constructing Numerical Theories of the Major Planets' Main Satellites}, url = {http://iaaras.ru/en/library/paper/1030/}, year = {2014} } TY - JOUR TI - Results of Constructing Numerical Theories of the Major Planets' Main Satellites AU - Kosmdamianskiy, G. A. AU - Poroshina, A. L. PY - 2014 T2 - Transactions of IAA RAS IS - 31 SP - 39 AB - This work presents theories of motion of the main satellites of Jupiter (Io, Europa, Ganymede, Callisto), Saturn (Mimas, Enceladus, Tethys, Dione, Rhea, Titan, Hyperion, Iapetus, Phebe), Uranus (Ariel, Umbriel, Titania, Oberon, Miranda) and Neptune (Triton, Nereid), based on numerical integration. The dynamical models include mutual perturbations of the satellites, disturbances of the Sun, major planets and nonsphericity of the central planet. The initial values of coordinates and velocities were improved as a result of astrometric observations of different types. In addition, several improved parameters were obtained for some satellite systems. We give our residuals, rms and compare our results with those obtained by other authors. UR - http://iaaras.ru/en/library/paper/1030/ ER -