A Note on the Acceleration and Jerk in Motion Along a Space Curve

[1] F. Siacci, Moto per Una Linea Gobba. Atti R Accad Sci. Torino 14 (1879), 946–951.Search in Google Scholar

[2] K. E.Özen, F. S. Dündar, M. Tosun, An Alternative Approach to Jerk in Motion Along a Space Curve with Applications. Journal of Theoretical and Applied Mechanics 57(2) (2019), 435–444.10.15632/jtam-pl/104595Search in Google Scholar

[3] J. Casey, Siacci’s Resolution of the Acceleration Vector for a Space Curve. Meccanica 46 (2011), 471–476.10.1007/s11012-010-9296-xSearch in Google Scholar

[4] E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies. 4th Edition, Cambridge University Press, 1944.Search in Google Scholar

[5] N. Grossman, The Sheer Joy of Celestial Mechanics. Birkhauser, Basel, 1996.10.1007/978-1-4612-4090-7Search in Google Scholar

[6] Z. Küçükarslan, M. Y. Yılmaz, M. Bektaş, Siacci’s Theorem for Curves in Finsler ManifoldF³. Turkish Journial of Science and Technology 7(2) (2012), 181–185.Search in Google Scholar

[7] K. E.Özen, M. Tosun, M. Akyiḡit, Siacci’s Theorem According to Darboux Frame. An. St. Univ. Ovidius Constanta 25(3) (2017), 155–165.10.1515/auom-2017-0042Search in Google Scholar

[8] S. H. Schot, Jerk: The Time Rate of Change of Acceleration. American Journal of Physics 46(11) (1978), 1090–1094.10.1119/1.11504Search in Google Scholar

[9] P. Melchior, Zeitschrift Ver. Dtsch. Ing.72 (1928), 1842.Search in Google Scholar

[10] H. Resal, Traite de Cinematique Pure. Mallet-Bachelier, 1862.Search in Google Scholar

[11] T. Sasai, The Fundamental Theorem of Analytic Space Curves and Apparent Singularities of Fuchsian Differential Equations. Tohoku Math. Journ. 36 (1984), 17–24.10.2748/tmj/1178228899Search in Google Scholar

[12] B. Bukcu, M. K. Karacan, On the Modified Orthogonal Frame with Curvature and Torsion in 3-space. Mathematical Sciences and Applications E-Notes 4(1) (2016) 184–188.10.36753/mathenot.421429Search in Google Scholar

[13] B. Bukcu, M. K. Karacan, Spherical Curves with Modified Orthogonal Frame. Journal of New Results in Science 5(10) (2016) 60–68.Search in Google Scholar

[14] M. S. Lone, E. S. Hasan, M. K. Karacan, B. Bukcu, On Some Curves with Modified Orthogonal Frame in Euclidean 3-space. Iranian Journal of Science and Technology, Transactions A: Science (2018) 1–12.10.1007/s40995-018-0661-2Search in Google Scholar

[15] M. S. Lone, E. S. Hasan, M. K. Karacan, B. Bukcu, Mannheim Curves with Modified Orthogonal Frame in Euclidean 3-space. Turkish Journal of Mathematics 43(2) (2019), 648-663.10.3906/mat-1807-177Search in Google Scholar

[16] T. Shifrin, Differential Geometry: A First Course in Curves and Surfaces. University of Georgia, Preliminary Version, 2008.Search in Google Scholar