Buy (600 RUB)
|Generate QR code
Open Access
Subscription or Fee Access
Study on Displaced Orbits Below the Moon’s South Pole Near L2 Point Based on Solar Sail
https://doi.org/10.17587/mau.24.652-659
Abstract
This work explores displaced orbits of solar sails below the Moon’s south pole, near the L2 libration point in the Earth-Moon system. Light pressure provides acceleration for displaced orbits. These orbits enable continuous communication and observation of the Moon’s south polar region, where a lunar base is planned. Linearized dynamic equations yield analytical solutions of displaced orbits, which are either quasi-periodic or periodic. Quasi-periodic orbits have varying altitudes of hundreds of kilometers and a period of about a year, while periodic orbits have fixed altitudes аnd the same period. A sliding mode controller maintains the orbits using sail attitude angles and reflectivity as control variables. With a reflective area to mass ratio of 18 m2/kg, the displaced heights of quasiperiodic and periodic orbits near L2 are 2010.38 km and 2210.06 km, respectively. Numerical simulations confirm the controller’s effectiveness for both orbit types
About the Authors
W. Yu
Samara National Research University
Russian Federation
Russian Federation
Postgraduate Student
Samara
O. L. Starinova
Samara National Research University
Russian Federation
Russian Federation
PhD. Tech. Sc, Professor
Samara
References
1. Jones A., Silber K. Down to earth: the Apollo moon missions that never were, available at: https://www.scientificamerican.com/article/canceledapollo-missions.
2. Li S., Lucey P. G., Milliken R. E., Hayne P. O., Fisher E., Williams J. P., Hurley D. M., Elphic R. C. Direct evidence of surface exposed water ice in the lunar polar regions, Proceedings of the National Academy of Sciences, 2018, vol. 115, no. 36, pp. 8907—8912.
3. Jones A. Chang’e-4 relay satellite enters halo orbit around Earth-Moon L2, microsatellite in lunar orbit, available at: https://spacenews.com/change-4-relay-satellite-enters-halo-orbitaround-earth-moon-l2-microsatellite-in-lunar-orbit.
4. Goodrich E. F. Numerical determination of short period Trojan orbits in the restricted three body problem, The Astronomical Journal, 1966, no. 71, pp. 88.
5. Bray T. A., Gouclas C. L. Doubly symmetric orbits about the collinear Lagrangian points, The Astronomical Journal, 1967, no. 72, pp. 202.
6. Farquhar R. W., Kamel A. A. Quasi-periodic orbits about the translunar libration point, Celestial Mechanics, 1967, vol. 7, no. 4, pp. 458—473.
7. Zagouras C. G., Kazantzis P. G. Three-dimensional periodic oscillations generating from plane periodic ones around the collinear Lagrangian points, Astroph ysics and Space Science, 1979, no. 61, pp. 389—409.
8. Breakwell J. V., Brown J. V. The ‘halo’ family of 3-dimensional periodic orbits in the Earth-Moon restricted 3-body problem, Celestial Mechanics, 1979, vol. 20, no. 4, pp. 389—404.
9. Connor H. K. Three-dimensional periodic ‘halo’ orbits, Celestial Mechanics, 1984, vol. 32, no. 1, pp. 53—71.
10. Zagouras C. G. Three-dimensional periodic orbits about the triangular equilibrium points of the restricted problem of three bodies, Celestial Mechanics, 1985, vol. 37, no. 1, pp. 27—46.
11. Gr ebow D. Generating periodic orbits in the circular restricted three-body problem with applications to lunar south pole coverage: specialty "Science in Aeronautics and Astronautics": dissertation for the degree of master’s degree in technical sciences, Purdue University, West Lafayette, 2006, 165 p.
12. Po lyakhova E. N., Starkov V. N., Stepenko N. A. Flights of a spacecraft with a solar sail outside the plane of the ecliptic, Conference Proceedings of Stability and Control Processes, 2015, pp. 91—92 (in Russian).
13. Baoyin H., Mcinnes C. R. Solar sail halo orbits at the Sun-Earth artificial L 1 point, Celestial Mechanics and Dynamical Astronomy, 2006, no. 94, pp. 155—171.
14. Baoyin H., Mc innes C. R. Solar sail orbits at artificial Sun-Earth libration points, Journal of Guidance, Control, and Dynamics, 2005, vol. 28, no. 6, pp. 1328—1331.
15. Simo J., Mcinnes C. R. Solar sail orbits at the Earth- Moon libration points, Communications in Nonlinear Science and Numerical Simulation, 2009, vol. 14, no. 12, pp. 4191—4196.
16. Simo J. A Comparative Study of Displaced Non-Keplerian Orbits with Impulsive and Continuous Thrust, Advances in the Astronautical Sciences, 2017, no. 17, pp. 463.
17. Gong S., Li J., Simo J . Orbital motions of a solar sail around the l 2 earth—moon libration point, Journal of Guidance, Control, and Dynamics, 2014, vol. 37, no. 4, pp. 1349—1356.
18. Du Chongrui, Starinova O. L . Optimal Control of Transfer to Vertical Orbits from Lyapunov Orbits Using Low-Thrust Engine, Mekhatronika, Avtomatizatsiya, Upravlenie, 2022, vol. 23, no. 3, pp. 158—167 (in Russian).
19. Chumachenko E. N., Nazirov R. R., Dunham D. W., Fedorenko A. N. Control of spacecraft using solar radiation, Cosmic Research, 2014, vol. 52, no. 3, pp. 257—257 (in Russian).
20. Sazonov V. V., Sazonov V. V. Calculation of resultant vector and principal moment of light pressure forces acting upon the spacecraft with a solar sail, 2011, Cosmic Research, no. 49, pp. 56—64.
21. NASA. Solar Sail Demonstrator, available at: https://www.nasa.gov/mission_pages/tdm/solarsail/solarsail_overview.html#.ZEWAVHbP1PY.
22. NASA. LightSail, a Planetary Society solar s ail spacecraft, available at: https://www.planetary.org/sci-tech/lightsail.
Review
For citations:
Yu W., Starinova O.L. Study on Displaced Orbits Below the Moon’s South Pole Near L2 Point Based on Solar Sail. Mekhatronika, Avtomatizatsiya, Upravlenie. 2023;24(12):652-659. https://doi.org/10.17587/mau.24.652-659
Views:
204
.png)
Email this article 