Theory of Relativity for GPS and Its Application to Determining the Geographical Location of Students' Address

Authors

Ahmad Amin , Armi Yuneti , Aceng Ruyani

DOI:

10.29303/jppipa.v11i10.12569

Published:

2025-10-25

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Abstract

This study aims to determine the working principle of the Global Positioning System (GPS) as a technology that applies the concept of relativity, and its application to determine the geographic location of students' addresses. This type of research is a literature study. In general, the GPS system has three main components, namely the ground segment (control station), the space segment (satellite), and the user segment (receiver device). GPS determines the receiver's position using the trilateration method from a minimum of four satellites that are always visible from any point on Earth at any time. The results of the study state that information from three satellites is needed to determine location, while the fourth signal is needed to determine time accurately. Relativity causes the GPS system to experience a time lag. The relative motion of the satellite to the earth causes the time on the satellite to be slower than earth time, while earth's gravity makes the satellite time move faster than earth time. The novelty of the results and discussion of the study conducted is to find the coordinates of student addresses, thus facilitating mapping of student residences in the city of Lubuklingau and its surroundings.

Keywords:

General relativity, Global positioning system, Special relativity, Student addresses

References

Andari, T. W., Utami, A. D. W., Satrio, P. U. D., & Arif, S. (2023). Optimisme dalam Poster Digital Bonus Demografi pada Akun Instagram Presiden Joko Widodo. Jurnal Multidisiplin West Science, 2(07), 534–543. https://doi.org/10.58812/jmws.v2i07.514

Cheng, R., Liu, Z., Zhai, G., Lv, Q., Yang, M., & Cai, C. (2022). High-Acceleration Vibration Calibration System Based on Phase-Locked Resonance Control. Sensors, 22(19), 7208. https://doi.org/10.3390/s22197208

Cheng, Y., Bizouard, C., Lambert, S., & Richard, J.-Y. (2024). Hourly Earth Rotation Parameter Series from GPS and Galileo Observations, and Estimations of Tidal Effects. In Freymueller, J. T., Sánchez, L. (eds) Together Again for Geodesy. IUGG 2023. International Association of Geodesy Symposia, 157. Springer, Cham. https://doi.org/10.1007/1345_2024_258

Demyanov, V., & Yasyukevich, Y. (2021). Space Weather: Risk Factors for Global Navigation Satellite Systems. Solar-Terrestrial Physics, 7(2), 28–47. https://doi.org/10.12737/stp-72202104

Dias, R., Abdulhayan, S., & B, V. K. S. (2022). Localized Positioning Systems Using Trilateration Algorithm. Journal of Pharmaceutical Negative Results, 13(1), 508-516. https://doi.org/10.47750/pnr.2022.13.s01.62

Farooq-I-Azam, M., Ni, Q., & Dong, M. (2020). Extreme Values of Trilateration Localization Error in Wireless Communication Systems. 2020 IEEE 31st Annual International Symposium on Personal, Indoor and Mobile Radio Communications, 1–6. https://doi.org/10.1109/pimrc48278.2020.9217059

Forrington, J. H. (2023). Time Dilation Cosmology. Journal of Modern Physics, 14(06), 839–864. https://doi.org/10.4236/jmp.2023.146049

Ghosh, A. (2023). General Relativity and Cosmology: Understanding the Large-Scale Structure of the Universe. https://doi.org/10.31219/osf.io/uxfhv

Han, K., Yu, S. M., Kim, S.-L., & Ko, S.-W. (2021). Exploiting User Mobility for Wifi RTT Positioning: A Geometric Approach. IEEE Internet of Things Journal, 8(19), 14589–14606. https://doi.org/10.1109/jiot.2021.3070367

Hartini, S. (2019). Revolusi Ilmiah: Global Positioning System ( GPS ) sebagai Bukti Empiris Teori Relativitas. Jurnal Filsafat Indonesia, 2(1), 27–32. https://doi.org/10.23887/jfi.v2i1.17548

Haruyama, R., Okawa, S., Akaba, H., Obara, H., & Fujita, N. (2021). A Review of the Implementation Status of and National Plans on HPV Vaccination in 17 Middle-Income Countries of the WHO Western Pacific Region. Vaccines, 9(11), 1355. https://doi.org/10.3390/vaccines9111355

Kuptsov, V., Badenko, V., Ivanov, S., & Fedotov, A. (2020). Method for Remote Determination of Object Coordinates in Space Based on Exact Analytical Solution of Hyperbolic Equations. Sensors, 20(19), 5472. https://doi.org/10.3390/s20195472

Kurnia, A. (2021). Konsep Pemahaman Teori Relativitas Khusus Einstein Tentang Pemuaian Waktu. TEDC, 15(2), 173-179. Retrieved from https://ejournal.poltektedc.ac.id/index.php/tedc/article/view/488

Li 李, H. 航, & Wang 王, P. 平. (2023). Translation Gauge Field Theory of Gravity in Minkowski Spacetime*. Chinese Physics C, 47(11), 115103. https://doi.org/10.1088/1674-1137/acf0b2

Luo, Q., Yang, K., Yan, X., Li, J., Wang, C., & Zhou, Z. (2022). An Improved Trilateration Positioning Algorithm with Anchor Node Combination and K-Means Clustering. Sensors, 22(16), 6085. https://doi.org/10.3390/s22166085

Mayningrum, S., & Muhtadi, K. (2021). I-SMARTS: Digitalization of Agrotechnopreneurship-Based MSME Development to Support Acceleration of East Java Economic Recovery in the Middle of the Covid-19 Pandemic. East Java Economic Journal, 5(1), 1–26. https://doi.org/10.53572/ejavec.v5i1.56

Némethová, H., & Zýka, J. (2024). Overview of the Space Weather Impact on the Navigation and Communication Systems. Acta Avionica Journal, 27–39. https://doi.org/10.35116/aa.2024.0004

Okołów, A. (2020). Does Time Always Slow Down as Gravity Increases? European Journal of Physics, 41(2), 023001. https://doi.org/10.1088/1361-6404/ab60bb

Perkasa, P. (2019). Use of Global Positioning System (GPS) for Basic Survey on Students. BALANGA: Jurnal Pendidikan Teknologi dan Kejuruan, 7(1), 22–33. https://doi.org/10.37304/balanga.v7i1.553

Rahemi, N., & Mosavi, M. R. (2021). Positioning Accuracy Improvement in High‐Speed GPS Receivers Using Sequential Extended Kalman Filter. IET Signal Processing, 15(4), 251–264. https://doi.org/10.1049/sil2.12027

Rezzolla, L. (2023). Spacetime, Curvature and Gravity. In The Irresistible Attraction of Gravity: A Journey to Discover Black Holes (pp. 25–48). Cambridge: Cambridge University Press. https://doi.org/10.1017/9781009198776.004

Rudiarto, S. (2023). Implementasi Metode Location Based Service (LBS) pada Aplikasi Pencarian Lokal Vaksin Covid-19 Berbasis Mobile. MALCOM: Indonesian Journal of Machine Learning and Computer Science, 3(1), 60–67. https://doi.org/10.57152/malcom.v3i1.746

Rybicki, M. (2022). Gravitational Time Dilation Inside the Solid Sphere. Journal of Modern Physics, 13(07), 1053–1064. https://doi.org/10.4236/jmp.2022.137059

Santerre, R., Geiger, A., & Banville, S. (2017). Geometry of GPS Dilution of Precision: Revisited. GPS Solutions, 21(4), 1747–1763. https://doi.org/10.1007/s10291-017-0649-y

Skone, S., Knudsen, K., & Jong, M. D. (2001). Limitations in GPS Receiver Tracking Performance Under Ionospheric Scintillation Conditions. Physics and Chemistry of The Earth, Part A: Solid Earth and Geodesy, 26(6–8), 613–621. https://doi.org/10.1016/s1464-1895(01)00110-7

Vuorikari, R., Kluzer, S., & Punie, Y. (2022). Digcomp 2.2. the Digital Competence Framework for Citizens with New Examples of Knowledge, Skills and Attitudes. In Publications Office of The European Union (Number KJ-NA-31006-EN-N (Online),KJ-NA-31006-EN-C (Print)). https://doi.org/10.2760/115376

Wang, X., Wei, W., Liu, Z., Han, D., Deng, N., Yang, L., Xie, W., & Dong, Y. (2019). Joint Frequency and Time Transfer Over Optical Fiber with High-Precision Delay Variation Measurement Using A Phase-Locked Loop. IEEE Photonics Journal, 11(2), 1–8. https://doi.org/10.1109/jphot.2019.2898522

Yacob, P., & Peter, D. (2022). Perceived Benefits of Sustainable Digital Technologies Adoption in Manufacturing SMES. International Journal of Innovation and Technology Management, 19(04), 2250012. https://doi.org/10.1142/s0219877022500122

Youngu, T. T., Aliyu, Y. A., Azua, S., Bawa, S., Bala, A., & Hamzat, H. D. (2022). Comparative Analysis of the Horizontal Positional Accuracy of Google Earth and Bing Imageries of Samaru, Kaduna State Nigeria. Nigerian Journal of Environmental Sciences and Technology, 6(1), 234–245. https://doi.org/10.36263/nijest.2022.01.0341

Zakharov, A. F. (2024). Astrophysical Tests of General Relativity. Physics of Particles and Nuclei, 55(6), 1413–1419. https://doi.org/10.1134/s1063779624701028

Zhao, Y., Llorente, A. M. P., & Gómez, M. C. S. (2021). Digital Competence in Higher Education Research: A Systematic Literature Review. Computers & Education, 168, 104212. https://doi.org/10.1016/j.compedu.2021.104212

Author Biographies

Ahmad Amin, Universitas PGRI Silampari

Armi Yuneti, Universitas PGRI Silampari

Aceng Ruyani, Universitas Bengkulu, Indonesia

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How to Cite

Amin, A., Yuneti, A., & Ruyani, A. (2025). Theory of Relativity for GPS and Its Application to Determining the Geographical Location of Students’ Address. Jurnal Penelitian Pendidikan IPA, 11(10), 1–9. https://doi.org/10.29303/jppipa.v11i10.12569