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PreprintCC BY

The Role of the Lorentz Factor in Relativistic Mechanics, Gravitational Time Dilation, and Global Satellite Navigation Systems

  • Chinnaraji Annamalai1
  1. 1Indian Institute of Technology Kharagpur
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Abstract

This paper presents a comprehensive theoretical and applied analysis of the Lorentz factor within the framework of modern physics and Satellite Engineering. It examines the fundamental principles of special and general relativity, detailing the mathematical derivation of cinematic and gravitational time dilation, mass-energy equivalency, and relativistic momentum integration. Furthermore, it evaluates the real-world operational necessity of these theoretical models within Global Positioning System (GPS) infrastructure, explicitly quantifying the daily temporal drift caused by orbital velocities and gravitational field variations.

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Cite

BibTeXRIS
BibTeX
@misc{annamalai2026role,
  title = {{The Role of the Lorentz Factor in Relativistic Mechanics, Gravitational Time Dilation, and Global Satellite Navigation Systems}},
  author = {Chinnaraji Annamalai},
  year = {2026},
  month = jul,
  doi = {10.33774/coe-2026-6chtv},
  url = {https://doi.org/10.33774/coe-2026-6chtv},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - The Role of the Lorentz Factor in Relativistic Mechanics, Gravitational Time Dilation, and Global Satellite Navigation Systems
AU  - Chinnaraji Annamalai
PY  - 2026
DA  - 2026/07/27
DO  - 10.33774/coe-2026-6chtv
UR  - https://doi.org/10.33774/coe-2026-6chtv
AB  - This paper presents a comprehensive theoretical and applied analysis of the Lorentz factor within the framework of modern physics and Satellite Engineering. It examines the fundamental principles of special and general relativity, detailing the mathematical derivation of cinematic and gravitational time dilation, mass-energy equivalency, and relativistic momentum integration. Furthermore, it evaluates the real-world operational necessity of these theoretical models within Global Positioning System (GPS) infrastructure, explicitly quantifying the daily temporal drift caused by orbital velocities and gravitational field variations.
ER  -