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Valentinus Galih Vidia Putra
Politeknik STTT Bandung
Astronomy Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Computer Science & IT Earth & Planetary Sciences Education Electrical & Electronics Engineering Energy Engineering Industrial & Manufacturing Engineering Materials Science & Nanotechnology Physics

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A MATHEMATICAL MODEL OF GPS SATELLITE TIME AND FREQUENCY BASED ON THE SPECIAL THEORY OF RELATIVITY Endah Purnomosari; Siska Astari Dewi; Wiwiek Eka Mulyani; Valentinus Galih Vidia Putra; Fadil Abdullah
INKOFAR Vol. 9 No. 2 (2025)
Publisher : Politeknik META Industri Cikarang

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Abstract

The Global Positioning System (GPS) relies on highly precise atomic clocks in satellites and ground stations to determine global time and position accurately. Relativistic effects, including gravitational fields and satellite orbital motion, induce frequency shifts in these clocks, necessitating corrections for accurate navigation. This study developed a novel approach to integrate general coordinates into GPS, emphasizing implementation simplicity. We investigated the application of special relativity to calculate time and frequency shifts in GPS satellites. Our analysis estimated a daily relativistic correction of approximately 21.6 microseconds, with a positional imprecision of 6.48 km per day if uncorrected. By employing a general time-space coordinate system, we calculated position4 and velocity-4 vectors, accounting for special relativistic effects on GPS time and frequency. The proposed method simplifies relativistic corrections while enhancing their conceptual clarity. Results demonstrate improved precision and efficiency in GPS positioning through the integration of general coordinates with a streamlined approach. This research offers valuable insights for international engineering communities, scholars, and practitioners, advancing the understanding of relativity’s impact on GPS satellite operations.
Co-Authors Abdurrohman Abdurrohman Adi Kusrianto Agung Haryanto Akbar Hanif Dawam Abdulllah Annisa Diyan Fitri Cahaya Rosyidan Endah Purnomosari Fadil Abdullah Fadil Abdullah Irwan . Irwan Irwan Mohamad, Juliany Ningsih Mustamina Maulani Ngadiono Ngadiono Ngadiyono Ngadiyono Nurmalinda Rahmawati Purnama, Ichsan Samura, Lisa Siska Astari Dewi Taufik Munandar Tina Martina Totong Irwan Wiah Wardiningsih Wijayono, Andrian Wiwiek Eka Mulyani Yusril Yusuf