Abstract
The translational-rotational motion of a non-stationary triaxial body with constant dynamic shape in a non-stationary Newtonian central gravitational field is considered. Differential equations determining translational motion of the triaxial body around a spherical body and its rotation about the center of mass are obtained in terms of the osculating Delaunay–Andoyer elements. The force function is expanded in power series in terms of the Delaunay–Andoyer elements up to the second harmonic element inclusive. Averaging the equations of motion over the “fast” variables, we obtain the evolution equations of the translational-rotational motion of the non-stationary triaxial body which may be integrated numerically for any given laws of the masses and principal moments of inertia variation. All the relevant symbolic calculations are performed with the aid of the computer algebra system Wolfram Mathematica.
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Prokopenya, A., Minglibayev, M., Baisbayeva, O. (2020). Analytical Computations in Studying Translational-Rotational Motion of a Non-stationary Triaxial Body in the Central Gravitational Field. In: Boulier, F., England, M., Sadykov, T.M., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2020. Lecture Notes in Computer Science(), vol 12291. Springer, Cham. https://doi.org/10.1007/978-3-030-60026-6_28
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