INFLUENCE OF THE MAGNUS EFFECT ON THE SPACECRAFT LIFETIME
Keywords:
space debris, debris removal, Magnus effectAbstract
A mathematical model of the dynamics of a large fragment of space debris in the form of a ball is developed and investigated. The effect of the Magnus force on the spacecraft lifetime at different angular velocity of object rotation, the apogee of the orbit, the mass of the object, and the radius of the sphere were studied. The dependence of the magnitude of this force on various parameters was studied and a conclusion was made about the insignificant effect of the Magnus effect on the orbital lifetime of the object.
References
1. Pulido C. L. Aerodynamic Lift and Drag Effects on the Orbital Lifetime Low Earth Orbit (LEO) Satellites / C. L. Pulido. – University of Colorado Boulder, 2007.
2. Cook G. E. The Effect of Aerodynamic Lift on Satellite Orbit / G. E. Cook // Plant. Space Science. – 1964. – Vol. 12. – P. 11.
3. Borg K. I. Force on a Spinning Sphere Moving in a Rarefied Gas / K. I. Borg, L. H. Soderholm, H. Essen // Physics of Fluids. – 2003. – Vol. 15, № 3. – P. 736–741.
4. Ramjatan S. Magnus Effect on a Spinning Satellite in Low Earth Orbit / S. Ramjatan, N. Fitz-Coy, A. Yew // AIAA/AAS Astrodynamics Specialist Conference. – 2016.
5. Borg J. Magnus Effect: An Overview of its Past and Future Practical Applications / J. Borg. – Washington D. C.: NAVSEA. – 1986.
6. Roy S. Modelng Gas Flow Through Microchannels and Nanopores / S. Roy, R. Raju, H. F. Chuang, B. A. Cruden, M. Meyyappan // Journal of Applied Physics. – 2003. – Vol. 93, № 8. – Р. 10.
7. Ashenberg J. On the Effects of Time-Varying Aerodynamics Coefficients on Satellite Orbits / J. Ashenberg // Acta Astronautica. – 1996. – Vol. 38, № 2. – Р. 75–86.
8. Moore P. The Effect of Aerodynamic Lift on Near-Circular Satellite Orbits / P. Moore // Planet, Space Sciences. – 1985. – Vol. 33, № 5. – P. 479–491.
9. Wang C. T. Free Molecular Flow Over a Rotating Sphere / C.-T. Wang // AIAA. – 1972.
10. Volkov A. Aerodynamic coefficients of a Spinning Sphere in a Rarefied-Gas Flow / A. Volkov // Izvestiya Rossiiskoi Akademii Nauk. – 2009. – Vol. 44, № 1. – P. 167–187.
11. Rubinow S. I. The Transverse Force on a Spinning Sphere Moving in a Viscous Fluid / S. I. Rubinow, J. B. Keller // Journal of Fluid Mechanics. – 1961. – Vol. 11, № 3. – P. 12.
12. Hall T. S. Orbit maneuver for responsive coverage using electric propulsion / T. S Hall // Air Force Institute of Technology, 2010.
13. Liu J. J. F. The Orbit Decay and Lifetime (LIFTIM) Prediction Program / J. J. F. Liu, R. L. Alford // Northrop Services, Inc., 1974.
14. Chobotov V. Orbital Mechanics / V. Chobotov // Virginia: AIAA. – 2002.
15. Довідкова система AGI STK / Solar Radiation Computation. – Режим доступу до сист. http://help.agi.com/stk/index.htm#gator/eq-solar.htm
16. Пакет инженерного моделювання AGI STK. – Режим доступу до сист. http://www.agi.com/products /engineering-tools
17. Picone J. M. NRLMSISE-00 empirical model of the atmosphere: Statistical comparisons and scientific issues / J. M. Picone, A. E. Hedin, D. P. Drob, A. C. Aikin // Journal of geophysical research. – 2002. – Vol. 107, № A12. – P. 1468.
18. McCarthy D. D. IERS Conventions (IERS Technical Note; 21) / Dennis D. McCarthy // Central Bureau of IERS: Paris. – 1996. – Режим доступу до ресурсу https://www.iers.org/SharedDocs/Publikationen/EN/ IERS /Publications /tn/ TechnNote21/tn21_40.pdf?__blob=publicationFile&v=1
19. Saunders A. A New Tool for Satellite Re-entry Predictions / A. Saunders // 5th European Conference of Space Debris, 2009. – Darmstadt, 2009.
2. Cook G. E. The Effect of Aerodynamic Lift on Satellite Orbit / G. E. Cook // Plant. Space Science. – 1964. – Vol. 12. – P. 11.
3. Borg K. I. Force on a Spinning Sphere Moving in a Rarefied Gas / K. I. Borg, L. H. Soderholm, H. Essen // Physics of Fluids. – 2003. – Vol. 15, № 3. – P. 736–741.
4. Ramjatan S. Magnus Effect on a Spinning Satellite in Low Earth Orbit / S. Ramjatan, N. Fitz-Coy, A. Yew // AIAA/AAS Astrodynamics Specialist Conference. – 2016.
5. Borg J. Magnus Effect: An Overview of its Past and Future Practical Applications / J. Borg. – Washington D. C.: NAVSEA. – 1986.
6. Roy S. Modelng Gas Flow Through Microchannels and Nanopores / S. Roy, R. Raju, H. F. Chuang, B. A. Cruden, M. Meyyappan // Journal of Applied Physics. – 2003. – Vol. 93, № 8. – Р. 10.
7. Ashenberg J. On the Effects of Time-Varying Aerodynamics Coefficients on Satellite Orbits / J. Ashenberg // Acta Astronautica. – 1996. – Vol. 38, № 2. – Р. 75–86.
8. Moore P. The Effect of Aerodynamic Lift on Near-Circular Satellite Orbits / P. Moore // Planet, Space Sciences. – 1985. – Vol. 33, № 5. – P. 479–491.
9. Wang C. T. Free Molecular Flow Over a Rotating Sphere / C.-T. Wang // AIAA. – 1972.
10. Volkov A. Aerodynamic coefficients of a Spinning Sphere in a Rarefied-Gas Flow / A. Volkov // Izvestiya Rossiiskoi Akademii Nauk. – 2009. – Vol. 44, № 1. – P. 167–187.
11. Rubinow S. I. The Transverse Force on a Spinning Sphere Moving in a Viscous Fluid / S. I. Rubinow, J. B. Keller // Journal of Fluid Mechanics. – 1961. – Vol. 11, № 3. – P. 12.
12. Hall T. S. Orbit maneuver for responsive coverage using electric propulsion / T. S Hall // Air Force Institute of Technology, 2010.
13. Liu J. J. F. The Orbit Decay and Lifetime (LIFTIM) Prediction Program / J. J. F. Liu, R. L. Alford // Northrop Services, Inc., 1974.
14. Chobotov V. Orbital Mechanics / V. Chobotov // Virginia: AIAA. – 2002.
15. Довідкова система AGI STK / Solar Radiation Computation. – Режим доступу до сист. http://help.agi.com/stk/index.htm#gator/eq-solar.htm
16. Пакет инженерного моделювання AGI STK. – Режим доступу до сист. http://www.agi.com/products /engineering-tools
17. Picone J. M. NRLMSISE-00 empirical model of the atmosphere: Statistical comparisons and scientific issues / J. M. Picone, A. E. Hedin, D. P. Drob, A. C. Aikin // Journal of geophysical research. – 2002. – Vol. 107, № A12. – P. 1468.
18. McCarthy D. D. IERS Conventions (IERS Technical Note; 21) / Dennis D. McCarthy // Central Bureau of IERS: Paris. – 1996. – Режим доступу до ресурсу https://www.iers.org/SharedDocs/Publikationen/EN/ IERS /Publications /tn/ TechnNote21/tn21_40.pdf?__blob=publicationFile&v=1
19. Saunders A. A New Tool for Satellite Re-entry Predictions / A. Saunders // 5th European Conference of Space Debris, 2009. – Darmstadt, 2009.
