Journal of Aerospace Science and Technology

Journal of Aerospace Science and Technology

Optimal Orbital Inclination Based on Maximum Regional Coverage Criterion for a Satellite in a Low Earth Circular Orbit

Document Type : Original Article

Authors
Faculty of New Sciences and Technology, University of Tehran, Iran
Abstract
Considering the growing range of space applications, missions targeting regional coverage have become increasingly significant. This study presents two analytical algorithms to determine the optimal orbital inclination for maximizing regional coverage for a satellite in a low Earth circular orbit. Specifically, the algorithms utilize a two-dimensional mapping technique and geographic latitude-dependent coverage calculations to derive optimal orbital parameters. For instance, for a satellite at an altitude of 700 kilometers with a minimum elevation angle of 20 degrees (corresponding to a field of view of 115.6 degrees), the optimal orbital inclination for maximizing coverage over Iran’s target region is found to be 39 degrees using both analytical methods. These findings are validated through simulations conducted in STK software, which reveal an accuracy error of 5% or less. By filling gaps in the existing literature with its focus on regional coverage for micro-satellites, this study advances the understanding of regional mission planning and provides satellite designers with efficient and practical tools for optimizing orbital parameters. The proposed algorithms hold promise for diverse applications, including disaster monitoring and communication satellite design.
Keywords
Subjects

[1] H.W. Lee, S. Shimizu, S. Yoshikawa, K. Ho, “Satellite constellation pattern optimization for complex regional coverage,” J. Spacecraft and Rockets, vol. 57, pp. 1309-1327,  2020. https://doi.org/10.2514/1.A34657.
[2]  J. Hanson, M. Evans, R. Turner, “Designing good partial coverage satellite constellations,” Astrodynamics Conference, Portland, OR, 20-22 Aug 1990. https://doi.org/10.2514/6.1990-2901
[3]  Y. Ulybyshev, “Satellite constellation design for complex coverage,” J. Spacecraft and Rockets, vol. 45, pp. 843-849, 2008, https://doi.org/10.2514/1.35369.
[4]  Q. He, C. Han, “Satellite constellation design with adaptively continuous ant system algorithm,” Chin. J. Aeronaut., vol. 20, pp. 297-303, 2007. https://doi.org/10.1016/S1000-9361(07)60047-8.
[5]  T. J. Zhang, H.X. Shen, Z. Li, H. Qie, J. Cao, et al., “Restricted constellation design for regional navigation augmentation,” Acta Astronaut., 150, 231-239 (2018). https://doi.org/10.1016/j.actaastro.2018.04.044.
[6]  T. Savitri, Y. Kim, S. Jo, H. Bang, “Satellite constellation orbit design optimization with combined genetic algorithm and semi-analytical approach,” Int. J. Aerosp. Eng., Aert. No. 1235692,  2017, https://doi.org/10.1155/2017/1235692.
[7] Y. Kim, M. Kim, B. Han, Y. Kim, H. Shin, “Optimum design of a SAR satellite constellation considering the revisit time using a genetic algorithm,” Int. J. Aeronaut. Space Sci., vol. 18, pp. 334-343,  2017,  https://doi.org/10.5139/IJASS.2017.18.2.334
[8]  J. G. Walker, “Some circular orbit patterns providing continuous whole Earth coverage,” J. Brit. Interplanet. Soc., vol. 24, pp. 369–384, 1971.
[9]  J. G. Walker, “Continuous whole Earth coverage by circular orbit satellite patterns,” J. Brit. Interplanet. Soc., vol. 27, pp. 559–572, 1974.
[10]   J. G. Walker, “Satellite constellations,” J. Brit. Interplanet. Soc., vol. 37, pp. 559–572 1984.
[11]   L. S. Rider, “Optimized polar orbit constellations for redundant Earth coverage,” J. Astronaut. Sci., vol. 33, pp. 147–161, 1985.
[12]   W. S. Adams and L. S. Rider, “Circular polar constellations providing continuous single or multiple coverage above a specified latitude,” J. Astronaut. Sci., vol. 35, pp. 155–192 1987.
[13]   J. R. Wertz, W.J. Larson, Space Mission Analysis and Design, Microcosm Press, Hawthorne, CA, 1999.
[14]   J. R. Wertz, D. F. Everett, and J. J. Puschell, Space Mission Engineering: The New SMAD, Microcosm Press, Hawthorne, CA, 2011.
[15] G. M. Capez, S. Henn, J. A. Fraire, R. Garello, “Sparse Satellite Constellation Design for Global and Regional Direct-to-Satellite IoT Services,” IEEE Transactions on Aerospace and Electronic Systems, vol. 58, pp. 3251-3262, 2022, https://doi.org/10.1109/TAES.2022.3185970.
[16]   T. Liao, Y. Wang, X. Zhang, “Dynamic Low Earth Orbit Multi-Satellite Hopping Beam Resource Allocation Considering Load and Dynamic Coverage Balance (LDCB-MSHBRA),” Earth Science Informatics, vol. 28, pp. 541-547, pp. 2024, https://doi.org/10.1007/s11038-024-09557-5.
[17]   S. Oh, D. Vasisht, “A Call for Decentralized Satellite Networks,” Proceedings of the 23rd ACM Workshop on Hot Topics in Networks (HotNets’ 24), Irvine, CA, USA, November 18–19, 2024. https://doi.org/10.1145/3696348.3696896.
[18]   Y. Wang, C. Kong, X. Meng, H. Luo, K. X. Li, J. Wang, “Systematic Performance Evaluation Framework for LEO Mega-Constellation Satellite Networks,” ICC 2024 - IEEE International Conference on Communications, Art. No. 11934, 2024, 10.1109/ICC51166.2024.10622264.
[19]  Y. Xiao, S. Guo, Y. Luo, “Low-Earth-Orbit Mega-Constellation Low-Redundancy Design: Rapid Performance Analysis and Adaptive Configuration Layering,” Journal of Spacecraft and Rockets, vol. 62, pp. 103-115, 2024, https://doi.org/10.2514/1.A34587.
[20] Y. Xiao, S. Guo, Y. Luo, “Low-Earth-Orbit Mega-Constellation Low-Redundancy Design: Rapid Performance Analysis and Adaptive Configuration Layering,” Journal of Spacecraft and Rockets, vol. 62, pp. 103-115, 2024, https://doi.org/10.2514/1.A34587.
[21] N. Okati, T. Riihonen, “Downlink Coverage and Rate Analysis of Low Earth Orbit Satellite Constellations Using Stochastic Geometry,” IEEE Transactions on Communications, vol. 69, pp. 404-414, 2020, https://doi.org/10.1109/TCOMM.2020.3045090.
[22]   S. D. Melaku and H. D. Kim, “Optimization of Multi-Mission CubeSat Constellations with a Multi-Objective Genetic Algorithm,” Remote Sensing, vol. 15, Art. no. 1572, 2023, https://doi.org/10.3390/rs15061572.
[23]   R. Fischer, H. Guo, “Optimizing Sparse IoT Satellite Constellations for Cost and Coverage Trade-offs,” IEEE Transactions on Aerospace and Electronic Systems, vol. 58, pp. 1291-1305, 2022, https://doi.org/10.1109/TAES.2022.3142290.
[24]   M. Brown and H. Zhao, “Deployment Optimization for Tracking Stations Supporting Sparse Constellations,” Remote Sensing, vol. 16, Art. no. 2891, 2024,  https://doi.org/10.3390/rs16172891.
[25]   L. Zhang, H. Liu, and X. Wang, “Multi-Objective Optimization of Regional Disaster Monitoring Satellite Constellations,” Acta Astronautica, vol. 203, pp. 1-12, 2023, https://doi.org/10.1016/j.actaastro.2023.10.015.
[26]   W. Zhao and Y. Zhang, “LEO Constellation Designs for IoT: Challenges and Opportunities,” Acta Astronautica, vol. 200, pp. 44-55, 2023,  https://doi.org/10.1016/j.actaastro.2023.07.015.
[27]  S. Xu, T. Zhang, and J. Li, “Low-Earth-Orbit Mega-Constellation Low-Redundancy Design,”   AIAA Journal, vol. 61, pp. 745-763, 2023, https://doi.org/10.2514/1.A35995.
[28] J. Shin, S.-Y. Park, J. Son, and S.-C. Song, "Design of Regional Coverage Low Earth Orbit (LEO) Constellation with Optimal Inclination." Journal of Astronomy and Space Sciences, vol. 38, no. 4, pp. 217–227, 2021, https://doi.org/10.5140/JASS.2021.38.4.217.
Volume 18, Issue 2
2025
Pages 145-157

  • Receive Date 02 December 2024
  • Revise Date 29 January 2025
  • Accept Date 25 February 2025
  • First Publish Date 01 October 2025