GEO region; Iterative proportional fitting method; Microsimulation; Space debris; Synthetic population; Modeling and Simulation; Mathematical Physics; Astronomy and Astrophysics; Space and Planetary Science; Computational Mathematics; Applied Mathematics
Abstract :
[en] The number of space debris has increased in the orbital environment, and consequently, the risk of collision between satellites and space debris or space debris and space debris has become a hot topic in Celestial Mechanics. Unfortunately, just a small fraction of the biggest and brightest objects are visible by means of radar and optical telescopes. In the last years, many efforts have been made to simulate the creation of space debris populations through different models, which use different sources and diverse orbital propagators, to study how they evolve in the near future. Modeling a fragmentation event is rather complex; furthermore, large uncertainties appear in the number of created fragments, the ejection directions and velocities. In this paper, we propose an innovative way to create a synthetic population of space debris from simulated data, which are constrained by observational data, plus an iterative proportional fitting method to adjust the simulated population by statistical means. The final purpose consists in improving a synthetic population of space debris created with a space debris model helped by an additional data set which allows to converge toward a new synthetic population whose global statistical properties are more satisfying.
Disciplines :
Space science, astronomy & astrophysics
Author, co-author :
Petit, Alexis ; University of Namur, Namur, Belgium
Casanova, Daniel; Centro Universitario de la Defensa, Saragossa, Spain
Dumont, Morgane ; Université de Liège - ULiège > HEC Liège : UER > UER Opérations : Quantitative Models and Methods in Management ; University of Namur, Namur, Belgium
Lemaître, Anne; University of Namur, Namur, Belgium
Language :
English
Title :
Creation of a synthetic population of space debris to reduce discrepancies between simulation and observations
F.R.S.-FNRS - Fonds de la Recherche Scientifique MINECO - Gobierno de Espana. Ministerio de Economia y Competitividad
Funding text :
Acknowledgements The work of A. Petit is supported by a F.R.I.A Ph.D grant. The work of D. Casanova was supported by the Spanish Ministry of Economy and Competitiveness, Project No. ESP2017–87113– R (AEI/FEDER, UE), and by the Aragon Government and European Social Fund (Group E24_17R). This research used resources of the “Plateforme Technologique de Calcul Intensif (PTCI)” (http://www.ptci.unamur. be) located at the University of Namur, Belgium, which is supported by the F.R.S.-FNRS under the convention No. 2.4520.11. The PTCI is a member of the “Consortium des quipements de Calcul Intensif (CCI)” (http:// www.ceci-hpc.be).The work of A. Petit is supported by a F.R.I.A Ph.D grant. The work of D. Casanova was supported by the Spanish Ministry of Economy and Competitiveness, Project No. ESP2017–87113–R (AEI/FEDER, UE), and by the Aragon Government and European Social Fund (Group E24_17R). This research used resources of the “Plateforme Technologique de Calcul Intensif (PTCI)” (http://www.ptci.unamur.be) located at the University of Namur, Belgium, which is supported by the F.R.S.-FNRS under the convention No. 2.4520.11. The PTCI is a member of the “Consortium des quipements de Calcul Intensif (CCI)” (http://www.ceci-hpc.be).
Casanova, D., Tardioli, C., Lemaître, A.: Space debris collision avoidance using a three-filter sequence. Mon. Not. R. Astron. Soc. 442(4), 32353242 (2014)
Casanova, D., Petit, A., Lemaître, A.: Long-term evolution of space debris under the J2 effect, the solar radiation pressure and the solar and lunar perturbations. Celest. Mech. Dyn. Astron. 123, 223–228 (2015)
Celletti, A., Efthymiopoulos, C., Gachet, F., Gale, C., Pucacco, G.: Dynamical models and the onset of chaos in space debris. Int. J. Nonlinear Mech. 90, 147–163 (2017)
Cowardin, H., Anz-Meador, P.D., Reyes, J.A.: Characterizing GEO Titan IIIC transtage fragmentations using ground-based and telescopic measurements. In: Advanced Maui Optical and Space Surveillance (AMOS) Technologies Conference, Vol. 36 (2017)
Delsate, N., Compère, A.: NIMASTEP: a software to modelize, study, and analyze the dynamics of various small objects orbiting specific bodies. Astron. Astrophys. 540, (A120) (2012)
Flegel, S., Gelhaus, J., Wiedemann, C., et al.: The MASTER-2009 space debris environment model. In: Proceedings of the Fifth European Conference on Space Debris, Vol. 672, p. 15 (2009)
Horstmann, A., Stoll, E., Krag, H.: A validation method of ESA’s MASTER 1 cm population in low earth orbit. In: Advanced Maui Optical and Space Surveillance (AMOS) Technologies Conference, id. 87 (2017)
Hubaux, C., Lemaître, A.: The impact of Earths shadow on the long-term evolution of space debris. Celest. Mech. Dyn. Astron. 116, 79–95 (2013)
Hubaux, C., Lemaître, A., Delsate, N., Carletti, T.: Symplectic integration of space debris motion considering several Earths shadowing models. Adv. Space Res. 49(10), 1472–1486 (2012)
Inter-Agency Space Debris Coordination Committee (IADC). IADC-02-01. Space Debris Mitigation Guidelines. Revision 1 (2007)
Jehn, R., Ariafar, S., Schildknecht, T., Musci, R., Oswald, M.: Estimating the number of debris in the geostationary ring. Acta Astronaut. 59(15), 84–90 (2006)
Johnson, N.L., Krisko, P.H., Liou, J.-C., Anz-Meador, P.D.: NASA’s new breakup model of evolve 4.0. Adv. Space Res. 28(9), 1377–1384 (2001)
Johnson, N.L., Stansbery, E., Whitlock, D.O., Abercromby, K.J., Shoots, D.: History of On-Orbit Satellite Fragmentations, 14th edn. Orbital Debris Program Office, Houston (2008)
Lewis, H.G., Swinerd, G., Williams, N., Gittins, G.: DAMAGE: a dedicated GEO debris model framework. Proc. Third Eur. Conf. Space Debris 1, 373–378 (2001)
Lovelace, R., Ballas, D.: Truncate, replicate, sample: a method for creating integer weights for spatial microsimulation. Comput. Environ. Urban Syst. 41(1), 1–11 (2013)
Lovelace, R., Dumont, M.: Spatial microsimulation with R. CRC Press, Boca Raton (2016)
Orbital Debris Program Office: Orbital Debris Quarterly News, Vol. 20, No. (1–2), pp. 3–4 (2016a)
Orbital Debris Program Office: Orbital Debris Quarterly News, Vol. 20, No. 4, pp. 2–3 (2016b)
Orbital Debris Program Office: Orbital Debris Quarterly News, Vol. 22, No. 2, p. 4 (2018)
Petit, A., Lemaître, A.: The impact of the atmospheric model and of the space weather data on the dynamics of clouds of space debris. Adv. Space Res. 57(11), 2245–2258 (2016)
Rossi, A., Valsecchi, G.B.: Collision risk against space debris in Earth orbits. Celest. Mech. Dyn. Astron. 95(14), 345356 (2006)
Rossi, A., Anselmo, L., Pardini, C., Jehn, R., Valsecchi, G.B.: The new space debris mitigation (SDM 4.0) long term evolution code. In: Proceedings of the Fifth European Conference on Space Debris, Vol. 672, No. 90 (2009)
Rossi, A., Lewis, H., White, A., Anselmo, L., Pardini, C., Krag, H., Bastida, V.B.: Analysis of the consequences of fragmentations in low and geostationary orbit. Adv. Space Res. 57(8), 1652–1663 (2016)
Schildknecht, T., Musci, R., Ploner, M., Beutler, G., Flury, W., Kuusela, J., De Leon Cruz, J.: De Fatima Dominguez Palmero. L. Adv. Space Res. 34(5), 901–911 (2004)
Suesse, T., Namazi-Rad, M., Mokhtarian, P., Barthélemy, J.: Estimating cross-classified population counts of multidimensional tables: an application to regional Australia to obtain pseudo-census counts. J. Off. Stat. 33(4), 1021–1050 (2017)
Valk, S., Delsate, N., Lemaître, A., Carletti, T.: Global dynamics of high area-to-mass ratios GEO space debris by means of the MEGNO indicator. Adv. Space Res. 43(10), 1509–1526 (2009)
Valsecchi, G.B., Rossi, A.: Analysis of the space debris impacts risk on the international space station. In: Celletti, A., Ferraz-Mello, S., Henrard, J. (eds.) Modern Celestial Mechanics: From Theory to Applications. Springer, Dordrecht (2002)
Wnuk, E.: Space debris—the short term orbital evolution in the earth gravity field. Celest. Mech. Dyn. Astron. 66, 71–78 (1997)