Optimal control of spacecraft motion in the vicinity of Eros 433 asteroid
- Authors: Shornikov A.Y.1
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Affiliations:
- Samara National Research University
- Issue: Vol 18, No 4 (2019)
- Pages: 146-156
- Section: AIRCRAFT AND SPACE ROCKET ENGINEERING
- URL: https://journals.ssau.ru/vestnik/article/view/7622
- DOI: https://doi.org/10.18287/2541-7533-2019-18-4-146-156
- ID: 7622
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Abstract
The article describes an algorithm for optimizing controlled motion of a spacecraft equipped with low-thrust electric propulsion engines maneuvering in the vicinity of an object with an irregular gravitational field (asteroid Eros 433). A mathematical model of the object’s gravitational potential and a model of spacecraft motion are presented. The Pontryagin maximum principle is used to get the time-optimal control program. The formulated boundary value problem is solved numerically by the modified Newton method. The described algorithm can be used to solve similar problems of low-thrust flight dynamics in the vicinity of objects with irregular gravitational fields.
About the authors
A. Yu. Shornikov
Samara National Research University
Author for correspondence.
Email: andreishornikov@gmail.com
Postgraduate Student, Department of Space Engineering
Russian FederationReferences
- Britt D.T., Yeomans D., Housen K., Consolmagno G. Asteroid density, porosity, and structure. Asteroids III. 1987. P. 485-500.
- Zuber M.T., Smith D.E., Cheng A.F., Garvin J.B., Aharonson O., Cole T.D., Dunn P.J., Guo Y., Lemoine F.G., Neumann G.A., Rowlands D.D., Torrence M.H. The shape of 433 Eros from the NEAR-Shoemaker laser rangefinder. Science. 2000. V. 289, Is. 5487. P. 2097-2101. doi: 10.1126/science.289.5487.2097
- Geissler P., Petit J.-M., Durda D.D., Greenberg R., Bottke W., Nolan M., Moore J. Erosion and ejecta reaccretion on 243 Ida and its moon. Icarus. 1996. V. 120, Iss. 1. P. 140-157. doi: 10.1006/icar.1996.0042
- Ren Y., Shan J. On tethered sample and mooring systems near irregular asteroids. Advances in Space Research. 2014. V. 54, Is. 8. P. 1608-1618. doi: 10.1016/j.asr.2014.06.042
- Hu X., Jekeli C. A numerical comparison of spherical, spheroidal and ellipsoidal harmonic gravitational field models for small non-spherical bodies: examples for the Martian moons. Journal of Geodesy. 2015. V.89, Iss. 2. P. 159-177. doi: 10.1007/s00190-014-0769-x
- Wang X., Jiang Y., Gong S. Analysis of the potential field and equilibrium points of irregular-shaped minor celestial bodies. Astrophysics and Space Science. 2014. V. 353, Iss. 1. P. 105-121. doi: 10.1007/s10509-014-2022-8
- Shornikov A., Starinova O. Simulation of controlled motion in an irregular gravitational field for an electric propulsion spacecraft. Proceedings of 7th International Conference on Recent Advances in Space Technologies (June, 16-19, 2015, Istanbul, Turkey). 2015. P. 771-776. doi: 10.1109/RAST.2015.7208444
- Szebehely V.G. Theory of orbits: the restricted problem of three bodies. New York: Academic Press, 1967. 668 p.
- JPL Small-Body Database Browser. Available at:http://space.frieger.com/asteroids/
- Kopp R.E. Pontryagin maximum principle. Mathematics in Science and Engineering. 1962. V. 5, Iss. C. P. 255-279. doi: 10.1016/S0076-5392(08)62095-0
- Optimization techniques with applications to aerospace systems / ed. by G. Leitmann. New York: Academic Press, 1962. 452 p.
- Salmin V.V., Starinova O.L. Optimization of interplanetary flights of spacecraft with low-thrust engines taking into account the ellipticity and noncoplanarity of planetary orbits. Cosmic Research. 2001. V. 39, Iss. 1. P. 46-54. doi: 10.1023/A:1002835811494
- Ascher U.M., Mattheij R.M.M., Russell R.D. Numerical solution of boundary value problems for ordinary differential equations. Siam, 1988. 595 p.
- Shornikov A.Yu., Starinova O.L. Modelirovanie i optimizatsiya pereleta kosmicheskogo apparata s elektroreaktivnymi dvigatelyami maloy tyagi v zadache trekh tel [Modeling and optimization of spacecraft flight with low-thrust electric jet engines in the three-body problem]. Certificate of state registration of the computer program no. 20144618472. (Publ. 21.08.2014)
- Rayman M.D., Fraschetti T.C., Raymond C.A., Russell C.T. Dawn: A mission in development for exploration of main belt asteroids Vesta and Ceres. Acta Astronautica. 2006. V. 58, Iss. 11. P. 605-616. doi: 10.1016/j.actaastro.2006.01.014
- Paulo L., Benajmin Glass B., Martinez-Sanchez M. Performance characteristics of a linear ionic liquid electrospray thruster. Proceedings of the 29th International Electric Propulsion Conference (October 31-November 4, 2005, Princeton, USA). 2005.