The resolution of the acceleration and jerk vectors of a particle moving on a space curve in
the Euclidean 3-space is considered. By applying this resolution and Siacci's theorem …

The resolution of the acceleration vector of a particle moving along a space curve is well
known thanks to Siacci [1]. This resolution comprises two special oblique components which …

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 …

The jerk vector of a moving particle is the third time derivative of the position vector and thus
the time derivative of the acceleration vector. A useful resolution of the acceleration vector of …

For motion of a material point along a space curve, due to Siacci [1], a resolution of the
acceleration vector is well known. In this resolution, the acceleration vector is stated as the …

The jerk is the third time derivative of the position vector, and hence the time derivative of
acceleration vector. In this paper, we take into consideration a particle moving on a regular …

In this study, we introduce a new moving frame on regular surfaces for trajectories with non-
vanishing angular momentum and give the angular velocity vector for this frame. Then, we …

In this paper, we study the jerk vector that is the rate of change of the acceleration vector
over time. In three‐dimensional space, the decomposition of the jerk vector is a new concept …

In this study, we consider the concept of Mannheim partner trajectories related to the
Positional Adapted Frame on Regular Surfaces (PAFORS) for the particles moving on the …

First, we study a new tip of unit speed associated curves in the E3 like a normal-direction
curve and normal-donor curve. Then we achieve qualification for these curves. Moreover …