Hostname: page-component-8448b6f56d-dnltx Total loading time: 0 Render date: 2024-04-19T20:25:39.102Z Has data issue: false hasContentIssue false
  • English
  • Français

Mars's Moons-Induced Time Dispersion Analysis for Solar TDOA Navigation

Published online by Cambridge University Press:  15 September 2020

Yang-yang Li ,
Jin Liu Open the ORCID record for Jin Liu [Opens in a new window] ,
Xiao-lin Ning Open the ORCID record for Xiao-lin Ning [Opens in a new window] ,
Xiao Chen  and
Zhi-wei Kang
Yang-yang Li
Affiliation:
(College of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan430081, People's Republic of China)
Jin Liu*
Affiliation:
(College of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan430081, People's Republic of China)
Xiao-lin Ning
Affiliation:
(School of Instrumentation Science & Opto-electronics Engineering, Beihang University (BUAA), Beijing100191, People's Republic of China)
Xiao Chen
Affiliation:
(Shanghai Institution of Satellite Engineering, Shanghai200240, People's Republic of China)
Zhi-wei Kang
Affiliation:
(College of Computer Science and Electronic Engineering, Hunan University, Changsha410082, People's Republic of China)
*
(E-mail: liujin@wust.edu.cn)
Get access Rights & Permissions [Opens in a new window]

Abstract

The time dispersion effect affects the accuracy of solar time difference of arrival (TDOA) navigation. In this celestial autonomous navigation, Mars's moons are reflecting celestial bodies, and their shape affects the TDOA dispersion model. In the modelling process of traditional methods, the moons of Mars (Phobos and Deimos) are regarded as points, which causes the model to be inaccurate. In order to solve these problems, we simplified the Mars's moons into ellipsoids or solid diamonds, and then established a TDOA model with the nonspherical Mars's moons as reflecting celestial bodies through differential geometry and geometric optics. Finally, we analysed the time dispersion caused by the Mars's moons in theory. Theoretical analysis and experiments show that the point model error is 5·66 km, and the 3D model error is within 70 m. Thus, the 3D TDOA model established in this paper is meaningful. In addition, the Sun–Mars-moons–spacecraft angle, solar flare, three-axis length, and attitude of the Mars's moons have a great effect on the dispersion profile, while the Mars's moons-to-spacecraft distance has a small effect.

Keywords

Time DispersionTDOAMarsModellingNavigation
Type
Research Article
Information
The Journal of Navigation , Volume 74 , Issue 1 , January 2021 , pp. 188 - 211
Check for updates
Copyright
Copyright © The Royal Institute of Navigation 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Chen, X., Sun, Z. W., Zhang, W. and Xu, J. (2019). A novel autonomous celestial integrated navigation for deep space exploration based on angle and stellar spectra shift velocity measurement. Sensors, 19(11), 2555.CrossRefGoogle ScholarPubMed
Christian, J. A. (2019). StarNAV: autonomous optical navigation of a spacecraft by the relativistic perturbation of starlight. Sensors, 19(19), 4064.CrossRefGoogle ScholarPubMed
Fang, J. C., Ning, X. L. and Liu, J. (2017). Principle and Methods of Spacecraft Celestial Navigation. 2nd ed. Beijing: National Defense Industry Press. [Chinese].Google Scholar
Kang, Z. W., Xu, M. X., Liu, J. and Li, N. (2017). Doppler velocity measurement based on double measurement model and its integrated navigation. Journal of Astronautics, 38(9), 964–970. [Chinese].Google Scholar
Konopliv, A. S., Asmar, S. W.s, Bills, B. G., et al. (2011). The Dawn gravity investigation at Vesta and Ceres. Space Science Reviews, 163(1–4), 461–486.CrossRefGoogle Scholar
Li, S., Cui, P. Y. and Cui, H. T. (2006). Autonomous navigation and guidance for landing on asteroids. Aerospace Science and Technology, 10(3), 239–247.CrossRefGoogle Scholar
Liu, J., Fang, J. C., Kang, Z. W., et al. (2015a). Novel Algorithm for X-ray Pulsar Navigation Against Doppler Effects. IEEE Transactions on Aerospace and Electronic Systems, Vol. 51(1), 228–241.CrossRefGoogle Scholar
Liu, J., Fang, J. C., Yang, Z. H., et al. (2015b). X-ray pulsar/Doppler difference integrated navigation for deep space exploration with unstable solar spectrum. Aerospace Science and Technology, 41, 144–150.CrossRefGoogle Scholar
Liu, J., Fang, J. C. and Liu, G. (2017a). Solar frequency shift–based radial velocity difference measurement for formation flight and its integrated navigation. Journal of Aerospace Engineering, 30(5), 04017049.CrossRefGoogle Scholar
Liu, J., Fang, J. C., Liu, G. and Wu, J. (2017b). Solar flare TDOA measurement using direct and reflected light for Mars exploration. IEEE Transactions on Aerospace & Electronic Systems, 53(5), 2469–2484.CrossRefGoogle Scholar
Liu, J., Ning, X. L., Ma, X., et al. (2019). Geometry error analysis in solar Doppler difference navigation for the capture phase. IEEE Transactions on Aerospace and Electronic Systems, 55(5), 2556–2567.CrossRefGoogle Scholar
Liu, J., Li, Y. Y., Ning, X. L., et al. (2020). Modeling and analysis of solar doppler difference bias with arbitrary rotation axis. Chinese Journal of Aeronautics. doi:10.106/j.cja.2020.04.034.Google Scholar
Long, A. C., Leung, D., Folta, D. and Gramling, C. (2000). Autonomous Navigation of High-Earth Satellites Using Celestial Objects and Doppler Measurements. In Proceeding AIAA/AAS Astrodynamics Specialist Conference, 1–9.CrossRefGoogle Scholar
Ma, X., Ning, X. L., Chen, X., et al. (2019). Geometric coplanar constraints-aided autonomous celestial navigation for spacecraft in deep space exploration. IEEE Access, 7, 112424–112434.CrossRefGoogle Scholar
Ning, Z. J., Li, D. and Dai, Y. (2016). Study for celestial speed detection of integrated navigation in deep space exploration. Journal of Deep Space Exploration, 3(3), 225–227. 245.Google Scholar
Ning, X. L., Gui, M. Z., Zhang, J., et al. (2017). Solar oscillation time delay measurement assisted celestial navigation method. Acta Astronautica, 134, 152–158.CrossRefGoogle Scholar
Ning, X. L., Gui, M. Z., Fang, J. C., et al. (2018a). A novel autonomous celestial navigation method using solar oscillation time delay measurement. IEEE Transactions on Aerospace and Electronic Systems, 54(3), 1392–1403.CrossRefGoogle Scholar
Ning, X. L., Gui, M. Z., Fang, J. C., et al. (2018b). A novel differential Doppler measurement-aided autonomous celestial navigation method for spacecraft during approach phase. IEEE Transactions on Aerospace and Electronic Systems, 53(2), 587–597.CrossRefGoogle Scholar
Pantalone, B. and Kudenov, M. W. (2018). Initial orbit determination using Doppler shift of Fraunhofer lines. Celestial Mechanics and Dynamical Astronomy, 130(12), 80.CrossRefGoogle Scholar
Sheikh, S. I., Pines, D. J., Ray, P. S., et al. (2006). Spacecraft navigation using X-ray pulsars. Journal of Guidance, Control, and Dynamics, 29(1), 49–63.CrossRefGoogle Scholar
Sun, H. F., Bao, W. M., Fang, H. Y., et al. (2016). Effect of X-ray energy band on the X-ray pulsar based navigation. Aerospace Science and Technology, 58, 150–155.CrossRefGoogle Scholar
Wang, D. Y., Huang, X. Y. and Guan, Y. F. (2007). GNC system scheme for lunar soft landing spacecraft. Advances in Space Research, 42(2), 379–385.CrossRefGoogle Scholar
Wang, Y. D., Zheng, W. and Zhang, D. P. (2017). X-ray pulsar/starlight Doppler deeply-integrated navigation method. The Journal of Navigation, 70(4), 829–846.CrossRefGoogle Scholar
Wang, Z. H., Huang, X. M., Liu, J., et al. (2020). Stellar spectrum-based relative velocimetry with spectrometer and its integrated navigation. Optik, 207.Google Scholar
Yan, J., Zhu, S. Y. and Wang, L. N. (2016). Autonomous Optical Navigation Approach Aided by Radio Beacon for Deep Space Spacecraft. 2016 Chinese Control and Decision Conference (CCDC), IEEE, 6354–6359.CrossRefGoogle Scholar
Yu, Z. S., Cui, P. Y. and Zhu, S. Y. (2014). On the observability of Mars entry navigation using radiometric measurements. Advances in Space Research, 54(8), 1513–1524.CrossRefGoogle Scholar
Yu, Z. Y., Liu, J., Pan, C., et al. (2019). Solar TDOA measurement and integrated navigation for formation flying. Proceedings of the Institution of Mechanical Engineers, 233(12), 4635–4645.CrossRefGoogle Scholar
Zhang, H., Jiao, R. and Xu, L. P. (2019). Formation of a Satellite Navigation System Using X-Ray Pulsars. Publications of the Astronomical Society of the Pacific, 131(998), 045002.Google Scholar