@article{Sosnyts’kyi_2021, title={On a particular case of motion in the three-body problem}, volume={73}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/6756}, DOI={10.37863/umzh.v73i10.6756}, abstractNote={<p>UDC 531.36; 531.011</p> <p>We study the three-body problem in a particular case where two bodies have equal masses, which implies the existence of a manifold of symmetric motions. We are looking for the conditions of existence of bounded (unbounded) symmetric motions.<br>Our analysis of boundedness (unboundedness) of motions shows that both the structure of the manifold of symmetrical motions and the integrals of energy and angular momentum are essential.</p>}, number={10}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Sosnyts’kyi , S. P.}, year={2021}, month={Oct.}, pages={1404-1413} }