TY - JOUR T1 - Spherical Curves with Modified Orthogonal Frame with Torsion AU - Yüksel, Nural AU - Karacan, Murat Kemal AU - Demirkıran, Tuğba PY - 2022 DA - December JF - Turkish Journal of Science JO - TJOS PB - Ahmet Ocak AKDEMİR WT - DergiPark SN - 2587-0971 SP - 177 EP - 184 VL - 7 IS - 3 LA - en AB - In this paper, we studied the spherical curves according to modified orthogonal frame with torsion in Euclidean 3- space. We obtained the center, the radius and spherical condition of spherical curves according to the Euclidean 3-space. KW - Spherical curves KW - Modified orthogonal frame with torsion KW - Frenet-Serret frame. CR - [1] Carmo M.D. Di erential Geometry of Curves and Surfaces, Prentice-Hall, New Jersey, 1976. CR - [2] Milman R.S., Parker G.D. Elements of Di erential Geometry, Prentice-Hall Inc., Englewood Clifs, New Jersey, 1977. CR - [3] Fujivara, M. On Space Curves Of Constant Breadth, Thoku Math. J., 5, 179-184, 1914. CR - [4] Wong Y.C. A Global Formulation of the Condition for a curve to lie in a sphere, Monatsh.Math., 67, 363-365, 1963. CR - [5] Wong Y.C. On an Explicit Characterization of Spherical Curves, Proc. Amer. Math. Soc., 34, 239-242, 1972. CR - [6] Bukcu, B., Karacan M.K. Spherical Curves with Modi ed Orthogonal Frame, Journal of New Results in Science, 2016. CR - [7] Cakmak, A., Sahin V. Characterizations of adjoint curves according to alternative moving frame, Fundamental Journal of Mathematics and Applications, 5 (1) (2022) 42-50. UR - https://dergipark.org.tr/en/pub/tjos/article/1135424 L1 - https://dergipark.org.tr/en/download/article-file/2505753 ER -