TY - JOUR
AU - M.Zh. Minglibayev,
AU - A.T. Ibraimova,
PY - 2019/06/10
Y2 - 2024/06/13
TI - EQUATIONS OF MOTION OF THE RESTRICTED THREE-BODY PROBLEM WITH NON-ISOTROPICALLY VARIABLE MASSES WITH REACTIVE FORCES
JF - Известия НАН РК. Серия физико-математическая
JA - СФМН
VL -
IS - 3
SE - Статьи
DO -
UR - https://journals.nauka-nanrk.kz/physics-mathematics/article/view/1574
SP - 5-12
AB - <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>
ER -