- PII
- S30345502S0023420625050031-1
- DOI
- 10.7868/S3034550225050031
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 63 / Issue number 5
- Pages
- 482-500
- Abstract
- A new method for designing a Tisserand graph with low-thrust between gravity assists is proposed. The motion of a spacecraft is considered in the context of the circular restricted three-body problem and the zero-radius sphere of influence model, based on conjugate conic sections. Simple control algorithms for changing the semi-major axis and eccentricity are used for low-thrust maneuvers. The analysis of the proposed control algorithms is carried out. The effectiveness of the proposed technique is shown. Examples of effective low-thrust spacecraft maneuvering strategies in the Jupiter satellite system for transfer to the orbits of Europa, Ganymede, and Calisto have been obtained.
- Keywords
- Date of publication
- 07.01.2026
- Year of publication
- 2026
- Number of purchasers
- 0
- Views
- 31
References
- 1. Campagnola S., Buffington B.B., Lam T. et al. Tour design techniques for the Europa Clipper mission // J. Guidance, Control, and Dynamics. 2019. V. 42. Iss. 12. P. 2615–2626.
- 2. Martynov M.B., Merkulov P.V., Lomakin I.V. et al. Advanced Russian mission Laplace-P to study the planetary system of Jupiter: scientific goals, objectives, special features and mission profile // Solar System Research. 2017. V. 51. P. 555–562.
- 3. Yang H., Hu J., Bai X. et al. Review of trajectory design and optimization for Jovian system exploration // Space: Science & Technology. 2023. V. 3. Art.ID. 0036.
- 4. Tisserand F.F. Traité de Méchanique Céleste. V. 4. Paris: Gauthier-Villars et fils, 1896. P. 203–205.
- 5. Ross S.D., Koon W.S., Lo M.W. et al. Design of a multi-moon orbiter // Advances in the Astronautical Sciences. 2003. V. 114. Iss. 1. P. 669–684.
- 6. Strange N.J., Longuski J.M. Graphical method for gravity-assist trajectory design // J. Spacecraft and Rockets. 2002. V. 39. Iss. 1. P. 9–16.
- 7. Campagnola S., Strange N.J., Russell R.P. A fast tour design method using non-tangent v-infinity leveraging transfer // Celestial Mechanics and Dynamical Astronomy. 2010. V. 108. P. 165–186.
- 8. Strange N.J., Campagnola S., Russell R.P. Leveraging flybys of low mass moons to enable an Enceladus orbiter // Advances in the Astronautical Sciences. 2009. V. 135. Iss. 3. P. 2207–2225.
- 9. Woolley R.C., Scheeres D.J. Applications of v-infinity leveraging maneuvers to endgame strategies for planetary moon orbiters // J. Guidance, Control, and Dynamics. 2011. V. 34. Iss 5. P. 1298–1310.
- 10. Campagnola S., Buffington B.B., Petropoulos A.E. Jovian tour design for orbiter and lander missions to Europa // Acta Astronautica. 2014. V. 100. P. 68–81.
- 11. Takubo Y., Landau D., Anderson B. Automated tour design in the Saturnian system // Celestial Mechanics and Dynamical Astronomy. 2024. V. 136. Iss. 1. Art. ID. 8.
- 12. Strange N.J., Landau D.F., Longuski J.M. et al. Design of Initial Inclination Reduction Sequence for Uranian Gravity-Assist Tours // Proc. AAS/AIAA Astrodynamics Specialist Conference. 2013.
- 13. Campagnola S., Boutonnet A., Schoenmeckers J. et al. Tisserand-leveraging transfers // J. Guidance, Control, and Dynamics. 2014. V. 37. Iss. 4. P. 1202–1210.
- 14. Casalino L., Colasurdo G., Pastrone D. Optimal low-thrust escape trajectories using gravity assist // J. Guidance, Control, and Dynamics. 1999. V. 22. Iss. 5. P. 637–642.
- 15. Vasile M., Campagnola S. Design of low-thrust gravity assist trajectories to Europa // J. British Interplanetary Society. 2009. V. 62. Iss. 1. P. 15–31.
- 16. Strange N., Landau D., Hofer R. et al. Solar electric propulsion gravity-assist tours for Jupiter missions // AIAA/AAS Astrodynamics Specialist Conference. 2012. Art.ID. 4518.
- 17. Sidhoum Y., Oguri K. Low-thrust trajectory design for icy moons orbiters using multi-body techniques // Celestial Mechanics and Dynamical Astronomy. 2024. V. 136. Iss. 6. P. 1–28.
- 18. Лебедев В.Н. Расчет движения космического аппарата с малой тягой. М.: ВЦ АН СССР, 1968. Т. 5. 108 с.
- 19. Гродовский Г.Л., Иванов Ю.Н., Токарев В.В. Механика космического полета с малой тягой. М.: Наука, 1966. 680 с.
- 20. Edelbaum T.N. Propulsion requirements for controllable satellites // Ars Journal. 1961. V. 31. Iss. 8. P. 1079–1089.
- 21. Edelbaum T.N. Optimum low-thrust rendezvous and station keeping // AIAA Journal. 1964. V. 2. Iss. 7. P. 1196–1201.
- 22. Burt E.G.C. On space manoeuvres with continuous thrust // Planetary and Space Science. 1967. V. 15. Iss. 1. P. 103–122.
- 23. Pollard J.E. Simplified Analysis of Low-Thrust Orbital Maneuvers. Aerospace Report No. TR-2000(8565)-10. 2000. 35 p.
- 24. Di Carlo M., Vasile M. Analytical solutions for low-thrust orbit transfers // Celestial Mechanics and Dynamical Astronomy. 2021. V. 133. Iss. 7. Art.ID. 33.
- 25. Голубев Ю.Ф., Грушевский А.В., Корянов В.В. и др. Универсальное свойство интеграла Якоби для гравитационных маневров в Солнечной системе // Косм. исслед. 2020. Т. 58. № 4. C. 312–320.
- 26. Голубев Ю.Ф., Грушевский А.В., Корянов В.В. и др. Адаптивные методы построения перелетов в системе Юпитера с выходом на орбиту спутника галллеевой Луны // Астрономический вестник. Исследования Солнечной системы. 2020. Т. 54. № 4. C. 349–359.
- 27. Murray C.D., Dermott S.F. Solar system dynamics. Cambridge university press, 1999. 608 p.
- 28. Labunsky A.V., Papkov O.V., Sukhanov K.G. Multiple Gravity Assist Interplanetary Trajectories. Newark, NJ: Gordon and Breach Science Publishers, 1998.
- 29. Охощанский Д.Е. Исследование движения в центральном поле под действием постоянного касательного ускорения // Косм. исслед. 1964. Т. 2. № 6. C. 817–842.
- 30. Spitzer A. Novel orbit raising strategy makes low thrust commercially viable // IEPC Paper. 1995. P. 95–212.
- 31. Pollard J.E. Simplified approach for assessment of low-thrust elliptical orbit transfers // Proc. 25th International Electric Propulsion Conference. Cleveland, OH, USA, 1997. P. 97–160.
- 32. Петрюков В.Г. Оптимизация многовитковых перелетов между некомпланарными эллиптическими орбитами // Косм. исслед. 2004. Т. 42. № 3. C. 260–279.
- 33. Kechichian J.A. Optimum thrust pitch profiles for certain orbit control problems // J. Spacecraft and Rockets. 2003. V. 40. Iss. 2. P. 253–259.
