Modelling of CubeSat satellite motion with inflatable braking device. Part 1. Determination of aerodynamic characteristics and trajectory parameters
| Authors: Guselnikov A.V., Fedyunina E.R., Prosuntsov P.V. | Published: 28.07.2026 |
| Published in issue: #8(797)/2026 | |
| Category: Aviation, Rocket and Technology | Chapter: Aircraft Strength and Thermal Modes | |
| Keywords: microsatellite CubeSat, drag force, free-molecular flow, inflatable braking device, direct Monte Carlo simulation method |
The article is devoted to the analysis of loading of the inflatable spherical shell of the braking device of a CubeSat 1U microsatellite during its descent from a 500 km high operational orbit. An iterative approach combining the interrelated processes of numerical modelling of the flow and determination of the descent trajectory parameters of the inflatable braking device was developed. Using the approach, the state of the shell under free-molecular gas flow was investigated, the pressure fields and heat flux density on the shell surface were determined using OpenFoam, and the dependences of aerodynamic coefficients on altitude and flight speed were determined. To verify the validity of the results obtained by modelling in OpenFoam, an additional study in Ansys Fluent was performed. The comparative analysis demonstrated good convergence of the results of two independent computational methods, which confirms the correctness of the calculations. The obtained data were used in the construction of a mathematical model of motion of the ‘microsatellite-NTU’ bundle in Comsol MultiPhysics. As a result, the trajectory profile was obtained at the section of the bundle descent from the working altitude of 500 km to the upper boundary of the Earth’s atmosphere of 100 km. The results obtained can be used for further analyses of the stress-strain and temperature state of the bundle.
EDN: UHUJOL, https://elibrary/uhujol
References
[1] Number of active satellites from 1957 to 2022. statista.com: website. URL: https://www.statista.com/statistics/897719/number-of-active-satellites-by-year (accessed: 20.01.2025).
[2] ESA’s annual space environment report. URL: https://www.sdo.esoc.esa.int/environment_report/Space_Environment_Report_latest.pdf (accessed: 20.01.2025).
[3] Space safety. Clearspace-1. esa.int: website. URL: https://www.esa.int/Space_Safety/ClearSpace-1 (accessed: 20.01.2025).
[4] Andrenucci M., Pergola P., Ruggiero A. Active removal of space debris. Expanding foam application for active debris removal. URL: https://www.esa.int/gsp/act/doc/ari/ari%20study%20report/act-rpt-mad-ari-10-6411-pisa-active_removal_of_space_debris-foam.pdf (accessed: 20.01.2025).
[5] Shuangyan S., Xing J., Hao C. Cleaning space debris with a space-based laser system. Chin. J. Aeronaut., 2014, vol. 27, no. 4, pp. 805–811, doi: https://doi.org/10.1016/j.cja.2014.05.002
[6] Yudin A.D. Razrabotka sposoba uvoda nanosputnikov CubeSat c nizkikh okolozemnykh orbit. Diss. kand. tekh. nauk [Developing a method for removing CubeSat nanosatellites from low Earth orbits. Kand. tech. sci. diss.]. Moscow, MAI Publ., 2021. 139 p. (In Russ.).
[7] Abramova E.N. Metodika vybora parametrov naduvnogo tormoznogo ustroystva malogo kosmicheskogo apparata. Diss. kand. tekh. nauk [Methodology for selecting parameters of an inflatable braking device for a small spacecraft. Kand. tech. sci. diss.]. Moscow, Bauman MSTU PUbl., 2023. 125 p. (In Russ.).
[8] Golubev A.G., Kalugin V.T., Lutsenko A.Yu. et al. Aerodinamika raket [Aerodynamics of rockets]. Moscow, Bauman MSTU Publ., 2023. 336 p. (In Russ.).
[9] Bird G.A. Molecular gas dynamics and the direct simulation of gas flows. Clarendon Press, 1994. 458 p.
[10] DuPont™ Kapton® HN. URL: https://www.dupont.com/content/dam/electronics/am–er/us/en/electronics/public/documents/en/EI-10206-Kapton-HN-Data-Sheet.pdf (accessed: 20.01.2025).
[11] White C., Borg M.K., Scanlon T.J. et al. DsmcFoam+. An OpenFOAM based direct simulation Monte Carlo solver. Comput. Phys. Commun., 2017, vol. 224, pp. 22–43, doi: https://doi.org/10.1016/j.cpc.2017.09.030
[12] GOST 4401–81. Atmosfera standartnaya. Parametry [State standard GOST 4401-81. Standart atmosphere. Parameters]. Moscow, Izd-vo standartov Publ., 2004. 165 p. (In Russ.).
[13] Palharini R.C. Atmospheric reentry modelling using an open-source DSMC code. PhD thesis. University Of Strathclyde, 2014. 205 p.
[14] Allen C.W. Astrophysical quantities. Athlone Press, 1973. 320 p.
[15] Lazarev Yu.N. Upravlenie traektoriyami aerokosmicheskikh apparatov [Aerospace vehicle trajectory control]. Samara, SamNC RAN Publ., 2007. 274 p. (In Russ.).