Skip to main content
Log in

Aerodynamic resistance in upper atmosphere: case of the last stage Delta rocket fall in Argentina

  • Published:
Computational and Applied Mathematics Aims and scope Submit manuscript

Abstract

On January 20th 2004, the engine of the third stage of a Delta-II launcher reached the Earth’s surface in the province of Corrientes, Argentina. As we were aware of the orbital data before entry as well as the location of the point of impact, we then refined a proper trajectory simulation 6D code to propagate the solutions of dynamic equations of state up to the encounter with the surface. During this propagation, the aerodynamic state is continuously adjusted to changes in the regimes of flight. When simulating the reentry, a possible trace of impact is obtained where it is estimated that the object will fall. The present work compared the effects of two atmospheric models: the static model USSA-76 versus the dynamic model NRLMSISE-00.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Allegrè J, Raffin M, Lengrand JC (1997) Aerodynamic forces and moments for a re-entry module. J Spacecr Rockets 34(2)

  • Barnet JJ, Corney M (1985) Handbook for middle atmosphere program. In: Labitzke K, Barnett JJ, Edwards B (eds) SCOSTEP, vol 16 . University of Illinois, Urbana

  • Manson BR, Young DF, Okiishi TH (2006) Fundamentals of fluid mechanics. Wiley, London

  • Miller DG, Bailey AB (1979) Sphere drag at Mach numbers from 0.3 to 2.0 at Reynolds numbers approaching 107. J Fluid Mech 93:449–464. doi:10.1017/S0022112079002597

  • Moe K, Moe M (2005) Gas-surface interactions and satellite drag coefficients. Planet Space Sci 53:793–801. doi:10.1016/j/pss.2005.03.005

  • Montenbruck G, Gill E (2001) Satellite orbits: models, methods and applications. Springer, Berlin

    MATH  Google Scholar 

  • Moreschi LD, Schulz W (2014) Simulación de la trayectoria de reingreso del motor de la tercera etapa de un lanzador Delta caído en Corrientes. Revista Facultad de Ciencias Exactas, Físicas y Naturales 1(2). http://revistas.unc.edu.ar/index.php/FCEFyN/article/view/8916/9754

  • Motoba T (2009) 3-4-3 Long-term data analysis of Ionosphere over Syowa station, Antarctica. J Natl Inst Inf Commun Technol (NICT-Japan) 56

  • Picone JM, Hedin AE, Drob DP, Aikin AC (2002) NRLMSISE-00 empirical model of the atmosphere: Statistical comparisons and scientific issues. J Geophys Res 107(A12):1468. http://ccmc.gsfc.nasa.gov/modelweb/

  • Saldia JP, Cimino A, Schulz W, Elaskar S, Costa A (2009) Atmospheric re-entry dynamics of conic objects. Math Probl Eng 2009 (Article ID 859678). doi:10.1155/2009/859678

  • Sangalli L, Wade GA, Noël J-M (2003) Modeling the thermospheric response to solar activity using the NORAD satellite catalogue. In: A Wilson (ed) Solar variability as an input to the Earth’s environment. International Solar Cycle Studies (ISCS) Symposium, 23–28 June 2003, Tatranská Lomnica, Slovak Republic. ESA SP-535, Noordwijk: ESA Publications Division

  • Schulz W, Falcinelli O, Tamagno J, Elaskar S (2008) Monitoramento de objetos em reentrada atmosférica. In: Prado AFBA, Gomes VM (eds) Advances in Space Dynamics 5: Celestial Mechanics and Astronautics. São José dos Campos: Instituto Nacional de Pesquisas Espaciais, pp 223–238 (ISBN:978-85-17-00041-6)

  • Shampine L, Watts H (1976) Solving non-stiff ordinary differential equations—the state of the art. SIAM Rev 18:376–411

  • Sikharulidze YG (2001) Aspects of the reentry dynamics of space vehicles. Part II, curse notes, Centro Técnico Aeroespacial, São José dos Campos, Brazil

  • US Standard Atmosphere (1976) National Oceanic and Atmospheric Administration, National Aeronautics and Space Administration, United States Air Force

  • Vallado DA, Crawford P, Hujsak R, Kelso TS (2006) Revisiting spacetrack report no. 3. AIAA 2006–6753

  • Vallado DA, Finkleman D (2014) A critical assessment of satellite drag and atmospheric density modeling. Acta Astronaut 95

  • Vinh NX (1981) Optimal trajectories in atmospheric flight. Elsevier, London

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Walkiria Schulz.

Additional information

Communicated by Elbert E. N. Macau; Antônio Fernando Bertachini de Almeida Prado; Cristiano Fiorilo de Melo.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Moreschi, L.D., Schulz, W. Aerodynamic resistance in upper atmosphere: case of the last stage Delta rocket fall in Argentina. Comp. Appl. Math. 35, 727–737 (2016). https://doi.org/10.1007/s40314-016-0320-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40314-016-0320-1

Keywords

Navigation