Work

Generalized Galilean Rotations

Year: 2024

Type: article

Abstract: In this article, we give rotational motions on any straight line or any parabola in a scalar product space. To achieve this goal, we first define the generalized Galilean scalar product and determine the generalized Galilean skew symmetric and orthogonal matrices. Then, using the well-known Rodrigues, Cayley, and Householder maps, we produce the generalized Galilean rotation matrices. Finally, we show that these rotation matrices can also be used to determine parabolic rotational motion.

Source: Symmetry

DOI: 10.3390/sym16111553

Authors: Harun Barış Çolakoğlu, İskender Öztürk, Oğuzhan Çelik, Mustafa Özdemir

Institutions: Akdeniz University, Pamukkale University

Language: English

Topic: Mathematics and Applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

OpenAlex ID: W4404545372

FWCI: 2.012

Cites: 26

Cited by: 3

Related to: 10