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Resolutions of the Jerk and Snap Vectors for a Quasi Curve in Euclidean 3-Space

2021; Multidisciplinary Digital Publishing Institute; Volume: 9; Issue: 23 Linguagem: Inglês

10.3390/math9233128

2227-7390

Ebrahem Hamouda, Clemente Cesarano, Sameh Askar, Ayman Elsharkawy,

Geometric Analysis and Curvature Flows

This work aims at studying resolutions of the jerk and snap vectors of a point particle moving along a quasi curve in Euclidean 3-space E3. In particular, we obtain the resolution of the jerk and snap vectors along the quasi vectors and offer an alternative resolution of the jerk and snap vectors along the tangential direction and two special radial directions that lie in the osculating and rectifying planes. This alternative resolution for a quasi plane curve in Euclidean 3-space E3 is given as corollary. Moreover, our results are illustrated via some examples.