TY - JOUR A2 - Abouelmagd, Elbaz AU - Mnasri, C. AU - Elmandouh, A. A. PY - 2020 DA - 2020/12/11 TI - Quartic Integral in Rigid Body-Gyrostat Dynamics SP - 6651277 VL - 2020 AB - In this work, we investigate the problem of constructing new integrable problems in the dynamics of the rigid body rotating about its fixed point as results of the effect of a combination of potential and gyroscopic forces possessing a common symmetry axis. We introduce two new integrable problems in a rigid body dynamics that generalize some integrable problems in this field, known by names of Chaplygin and Yehia–Elmandouh. SN - 1687-7969 UR - https://doi.org/10.1155/2020/6651277 DO - 10.1155/2020/6651277 JF - Advances in Astronomy PB - Hindawi KW - ER -