@article{M.Zh. Minglibayev_A.T. Ibraimova_2019, title={EQUATIONS OF MOTION OF THE RESTRICTED THREE-BODY PROBLEM WITH NON-ISOTROPICALLY VARIABLE MASSES WITH REACTIVE FORCES}, url={https://journals.nauka-nanrk.kz/physics-mathematics/article/view/1574}, abstractNote={<p>During the formation of planetary systems, especially at the non-stationary stage, the gravitational<br>field of the central protostar (e.g., protosun) and the most massive protoplanets (e.g., protojupiter) often dominate. In<br>this regard, we consider the restricted three-body problem with variable masses changing non-isotropically at<br>different rates, as a celestial-mechanical model of small-body motion in a non-stationary protoplanet system. Based<br>on the generalized Meshchersky equation, the differential equations of the restricted three-body problem are derived<br>in the absolute coordinate system and in the presence of a reactive forces. At the same time it is assumed that the<br>masses of the bodies are increasing due to accreting particles from the outer space, and decreasing due to the<br>particle loss. Based on the equation of motion obtained in the absolute coordinate system, the equations of motion in<br>a relative coordinate system whose origin is at the center of the protostar are derived in the presence of a reactive<br>forces. Special cases of the obtained differential equations of motion of a non-stationary dynamic system in a<br>relative coordinate system are discussed.</p>}, number={3}, journal={Известия НАН РК. Серия физико-математическая}, author={M.Zh. Minglibayev and A.T. Ibraimova}, year={2019}, month={июн.}, pages={5–12} }