@article{Al-Jedani2023, 
author = {Awatif Al-Jedani and Rashad A. Abdel-Baky},
title = {One-parameter Lorentzian spatial kinematics and Disteli's formulae},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {20187-20200},
keywords = {spacelike axodes, planar movement, inflection circle},
url = {https://www.sciopen.com/article/10.3934/math.20231029},
doi = {10.3934/math.20231029},
abstract = {In this paper, based on the E. Study map, clear terms are offered for the differential equations of one-parameter Lorentzian spatial kinematics that are coordinate system-independent. This cancels the request of demanding coordinate transformations that are typically required in the determination of the canonical systems. With the suggested technique, new proofs of the Disteli formulae of a spacelike line trajectory are instantly gained and their spatial equivalents are studied in detail. As a consequence, we address the kinematic geometry of a point trajectory for the one-parameter Lorentzian spherical and planar movements.}
}