Hybrid Orbit Propagator Based on Neural Networks. Multivariate Time Series Forecasting Approach

  • Conference paper
  • First Online:
16th International Conference on Soft Computing Models in Industrial and Environmental Applications (SOCO 2021) (SOCO 2021)

Abstract

The orbital trajectory of artificial satellites around the Earth requires frequent corrections in response to different perturbation forces. The necessary maneuvers can be designed in simulated space environments by propagating Two Line Elements with orbit propagators such as SGP4, which provides the orbital position information at a given epoch. In this work, a hybrid orbit propagator based on a neural network model is developed. Compared with previous models, the proposed neural network shows generalization capabilities for different space objects, which implies a potential benefit for the accuracy of any classical orbit propagator.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (Canada)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

Notes

  1. 1.

    Two-Line element set format https://celestrak.com/.

References

  1. Brouwer, D.: Solution of the problem of artificial satellite theory without drag. Astron. J. 64(1274), 378–397 (1959). https://doi.org/10.1086/107958

    Article  MathSciNet  Google Scholar 

  2. Hoots, F.R., Roehrich, R.L.: Models for propagation of the NORAD element sets. Spacetrack Report #3, U.S. Air Force Aerospace Defense Command, Colorado Springs, CO, USA (1980)

    Google Scholar 

  3. Hoots, F.R., Schumacher Jr., P.W., Glover, R.A.: History of analytical orbit modeling in the U.S. space surveillance system. J. Guidance Control Dyn. 27(2), 174–185 (2004). https://doi.org/10.2514/1.9161

  4. Kozai, Y.: Second-order solution of artificial satellite theory without air drag. Astron. J. 67(7), 446–461 (1962). https://doi.org/10.1086/108753

    Article  MathSciNet  Google Scholar 

  5. Morselli, A., Armellin, R., Di Lizia, P., Bernelli-Zazzera, F.: A high order method for orbital conjunctions analysis: sensitivity to initial uncertainties. Adv. Space Res. 53(3), 490–508 (2014). https://doi.org/10.1016/j.asr.2013.11.038

    Article  MATH  Google Scholar 

  6. Pérez, I., San-Juan, J.F., San-Martín, M., López-Ochoa, L.M.: Application of computational intelligence in order to develop hybrid orbit propagation methods. Math. Prob. Eng. 2013, 11 (2013). https://doi.org/10.1155/2013/631628. Article ID 631628

  7. San-Juan, J.F., Pérez, I., San-Martín, M., Vergara, E.P.: Hybrid SGP4 orbit propagator. Acta Astronautica 137, 254–260 (2017). https://doi.org/10.1016/j.actaastro.2017.04.015

    Article  Google Scholar 

  8. San-Juan, J.F., San-Martín, M., Pérez, I.: Hybrid perturbation methods: modelling the J2 effect through the Kepler problem. Adv. Astronaut. Sci. 155, 3031–3046 (2015). Paper AAS 15–207

    Google Scholar 

  9. San-Juan, J.F., San-Martín, M., Pérez, I.: Application of the hybrid methodology to SGP4. Adv. Astronaut. Sci. 158, 685–696 (2016). Paper AAS 16–311

    Google Scholar 

  10. San-Juan, J.F., San-Martín, M., Pérez, I., López, R.: Hybrid perturbation methods based on statistical time series models. Adv. Space Res. 57(8), 1641–1651 (2016). https://doi.org/10.1016/j.asr.2015.05.025. Advances in Asteroid and Space Debris Science and Technology - Part 2

  11. San-Juan, J.F., San-Martín, M., Pérez, I., López, R.: Hybrid SGP4: tools and methods. In: Proceedings 6th International Conference on Astrodynamics Tools and Techniques, ICATT 2016. European Space Agency (ESA), Darmstadt, Germany (2016)

    Google Scholar 

  12. San-Martín, M.: Métodos de propagación híbridos aplicados al problema del satélite artificial. Técnicas de suavizado exponencial. Ph.D. thesis, University of La Rioja, Spain (2014)

    Google Scholar 

  13. San-Martín, M., Pérez, I., San-Juan, J.F.: Hybrid methods around the critical inclination. Adv. Astronaut. Sci. 156, 679–693 (2016). Paper AAS 15–540

    Google Scholar 

  14. Segura, E., Carrillo, H., López, R., Pérez I. San-Martín, M., San-Juan, J.F.: Deep learning hsgp4: hyperparameters analysis. In: Proceedings 31st AAS/AIAA Space Flight Mechanics Meeting. American Institute of Aeronautics and Astronautics, Charlotte, NC, USA (2021). Paper AAS 21–241

    Google Scholar 

  15. Vallado, D.A., Crawford, P., Hujsak, R., Kelso, T.S.: Revisiting spacetrack report #3. In: Proceedings 2006 AIAA/AAS Astrodynamics Specialist Conference and Exhibit, vol. 3, pp. 1984–2071. American Institute of Aeronautics and Astronautics, Keystone, CO, USA (2006). https://doi.org/10.2514/6.2006-6753. Paper AIAA 2006-6753

Download references

Acknowledgments

This work has been funded by the Spanish State Research Agency and the European Regional Development Fund under Project ESP2016-76585-R (AEI/ ERDF, EU). We have used the Beronia cluster (Universidad de La Rioja), which is supported by FEDER-MINECO grant number UNLR-094E-2C-225.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Juan Félix San-Juan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Carrillo, H., Segura, E., López, R., Pérez, I., San-Juan, J.F. (2022). Hybrid Orbit Propagator Based on Neural Networks. Multivariate Time Series Forecasting Approach. In: Sanjurjo González, H., Pastor López, I., García Bringas, P., Quintián, H., Corchado, E. (eds) 16th International Conference on Soft Computing Models in Industrial and Environmental Applications (SOCO 2021). SOCO 2021. Advances in Intelligent Systems and Computing, vol 1401. Springer, Cham. https://doi.org/10.1007/978-3-030-87869-6_66

Download citation

Publish with us

Policies and ethics

Navigation