TY - JOUR TT - Bir Topacın Dönme Miktarı Üzerine Bir İnceleme AU - Tegmen, Adnan PY - 2005 DA - December JF - Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi JO - BAUN Fen. Bil. Enst. Dergisi PB - Balıkesir University WT - DergiPark SN - 1301-7985 SP - 57 EP - 65 VL - 7 IS - 2 KW - Katı cisim KW - cisim koordinat sistemi KW - dinamik faz KW - geometrik faz N2 - In the rotational motion of a free rigid body, the angular momentum vector which is constant with respect to an inertial frame has a periodic motion when viewed from the frame fixed at the center of mass of the body. But when the angular momentum vector completes its one-period motion, the body as a whole does not exhibit a periodic motion. This kind of motion which generates important corrections in the motions of robots and satelites has been analyzed and, for a symmetrical top, the net amount of rotation of the rigid body has been derived via an alternative approach CR - Goldstein, H., Poole, C. and Safko, J., “Classical Mechanics”, Addison-Wesley, 161, (2002) CR - Landau, L. D. and Lifshitz, E. M., “Mechanics”, Bristol, Pergamon, (1960) CR - Levi, M., “Geometric Phases in the Motion of Rigid Bodies”, Arch. Rational Mech. Anal, 122, 213-229, (1993), ( Önbasım olarak 1990 ) CR - Marsden, J. E., Montgomery, R. and Ratiu, T., “Reduction, Symmetry and Berry’s Phase in Mechanics”, Memoirs of AMS, 436, 1-110, (1990) CR - Montgomery, R., “How Much Does the Rigid Body Rotate? A Berry’s Phase from the 18th Century”, Am. J. Phys., 59(5), 394-398, (1990) CR - Teğmen, A., “Rigid Body Phase Formula in terms of Poincare-Cartan Invariant Action Form”, (Basım için hazırlanmaktadır). Nambu, Y., “Generalized Hamiltonian Dynamics”, Phys. Rev. D, 7, 2405-2412, (1973) CR - Berry, M. V., “Quantal Phase Factors Accompanying Adiabatic Changes”, Proc. R. Soc. Lond. A, 392, 45-57, (1984) CR - Hannay, J. H., “Angle Variable Holonomy in Adiabatic Excursion of an Integrable Hamiltonian”, J. Phys. A, 18, 221-230, (1985) UR - https://dergipark.org.tr/en/pub/baunfbed/issue//261795 L1 - https://dergipark.org.tr/en/download/article-file/228314 ER -