Investigating the jounce vector in planar and space motion is the primary objective of this paper. For planar motion, the jounce vector is split into tangential-normal and radial-transverse components. Simple pendulum oscillation, a central force proportionate to distance, and Keplerian orbital motion are used as models for plane motion to show the geometric properties of the jounce vector. The jounce vector of a particle that is moving across three dimensions of Euclidean space is also investigated, and it is resolved in the tangential, radial, and other radial directions in the rectifying and osculating planes, respectively. The models used were an electron in a uniform magnetic field and a particle traveling along a spiral path.
A new method for resolving the jerk and jounce vectors in Euclidean 3-space
Cesarano C;
2023-01-01
Abstract
Investigating the jounce vector in planar and space motion is the primary objective of this paper. For planar motion, the jounce vector is split into tangential-normal and radial-transverse components. Simple pendulum oscillation, a central force proportionate to distance, and Keplerian orbital motion are used as models for plane motion to show the geometric properties of the jounce vector. The jounce vector of a particle that is moving across three dimensions of Euclidean space is also investigated, and it is resolved in the tangential, radial, and other radial directions in the rectifying and osculating planes, respectively. The models used were an electron in a uniform magnetic field and a particle traveling along a spiral path.| File | Dimensione | Formato | |
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