2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/9140We investigate the dynamical one-armed spiral instability in differentially rotating stars with both eigenmode analysis and hydrodynamic simulations in Newtonian gravity. We find that the one-armed spiral mode is generated around the corotation radius of the star, and the distribution of angular momentum shifts inwards the corotation radius during the growth of one-armed spiral mode. We also find by investigating the distribution of the canonical angular momentum density that the low T/|W| dynamical instability for both m=1 and m=2 mode, where T is the rotational kinetic energy and W is the gravitational potential energy, is generated around the corotation point. Finally, we discuss the feature of gravitational waves generated from these modes.6 pages with 6 eps figures, revsymb.sty. To appear in Proceedings of the 22nd Texas Symposium on Relativistic Astrophysics, Stanford, 2004, edited by P. Chen (SLAC Electronic Conference Proceedings)AstrophysicsGeneral Relativity and Quantum Cosmologytext