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

Ebrahem Hamouda, Clemente Cesarano, Sameh Askar and Ayman Elsharkawy
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Ebrahem Hamouda: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, 00186 Roma, Italy
Sameh Askar: Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Ayman Elsharkawy: Department of Mathematics, Faculty of Science, Tanta University, Tanta 31511, Egypt

Mathematics, 2021, vol. 9, issue 23, 1-16

Abstract: 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 E 3 . 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 E 3 is given as corollary. Moreover, our results are illustrated via some examples.

Keywords: kinematics of a particle; snap; jerk; Siacci; Euclidean 3-space; quasi frame; space curves (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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