Published April 11, 2015 | Version v1
Thesis Open

Delta-v to Near-earth Asteroids: An Examination of the Shoemaker-helin Equations

Creators

  • 1. Harvard University
  • 1. Harvard-Smithsonian Center for Astrophysics

Description

Near-Earth asteroids present promising opportunities for future human spaceflight missions. Many of these objects have orbits that come within close proximity to the Earth, allowing a significantly lower cost in comparison to missions to Mars or even the Moon. This cost is directly related to the change in velocity (Delta-V) necessary to move a vehicle from low-Earth orbit to the orbit of a near-Earth asteroid.

This paper will discuss the merits of asteroid rendezvous missions in the near future and assess the validity of Delta-V approximations for ~1200 known asteroids candidates. A 1979 paper by Shoemaker and Helin suggested a class-specific set of equations for approximating the Delta-V for these objects. Modern numerical calculations provide accurate measurements for these values and will serve as a test to the strength of the Shoemaker-Helin equations.

Notes

Astro 99

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References

  • Bottke, W. F., Cellino, A., Paolicchi, P., & Binzel, R. P. (2002). Asteroids III. Tuscon: University of Arizona Press.
  • Bottke, W. F., Durda, D., Nesvorný, D., Jedicke, R., Morbidelli, A., Vokrouhlický, D., et al. (2005). The fossilized size distribution of the main asteroid belt. Icarus , 175, 111-140.
  • Bottke, W. F., Jedicke, R., Morbidelli, A., Petit, J. M., & Gladman, B. (2000). Understanding the distribution of near-Earth asteroids. Science , 288, 2190–2194.
  • Bottke, W. F., Jedicke, R., Morbidelli, A., Petit, J. M., Levison, H. F., Michael, P., et al. (2002). Debiased orbital and absolute magnitude distribution of the near-Earth objects. Icarus , 156, 399- 433.
  • Bottke, W. F., Vokrouhlicky, D., Rubincam, D. P., & Broz, M. (2002). The effect of Yarkovsky thermal forces on the dynamical evolution of asteroids and meteoroids. In Asteroids III (pp. 395- 408). Tuscon, AZ: University of Arizona Press.
  • Bowell, E., Virtanen, J., Muinonen, K., & Boattini, A. (2002). Asteroid Orbit Computation. In B. e. al., Asteroids III (pp. 27-43). Tuscon: University of Arizona Press.
  • Brown, P., Spalding, R. E., Revelle, D. O., Tagliaferri, E., & Worden, S. P. (2002). The flux of small near-Earth object colliding with the Earth. Nature , 420, 294-296.
  • Carpino, M., Milani, A., & Chesley, S. R. (2002). Error statistics of asteroid optical astrometric observations. Icarus .
  • Chang, K., & Schwartz, J. (2014, October 31). Virgin Galactic’s SpaceShipTwo Crashes in New Setback for Commercial Spaceflight. Retrieved from The New York Times: http://www.nytimes.com/2014/11/01/science/virgin-galactics-spaceshiptwo-crashes-during-test- flight.html?_r=0
  • Cheng, A. F. (1997). Near Earth Asteroid Rendezvous: Mission Overview. Space Science Reviews , 82, 3-29.
  • Day, J. D., Walker, R. J., Qin, L., & Rumble, D. (2012). Late accretion as a natural consequence of planetary growth. Nature Geoscience , 5, 614-617.
  • DeMeo, F. E., & Carry, B. (2014). Solar System evolution from compositional mapping of the asteroid belt. Nature , 505, 629-634.
  • Emery, J. P., Rivkin, A. S., Campins, H., Howell, E. S., Licandro, J., Takir, D., et al. (2015). Astronomical Observations of Volatiles on Asteroids. In F. D. P. Michel (Ed.), Space Science Series Book: Asteroids IV. University of Arizona Press.
  • Farinella, P., Foschini, L., Froeschle, C., Gonczi, R., Jopek, T. J., Longo, G., et al. (2001). Probable asteroidal origin of the Tunguska Cosmic Body. Astronomy & Astrophysics , 377, 1081-1097.
  • Forward, R. L. (1995). A TRANSPARENT DERIVATION OF THE RELATIVISTIC ROCKET EQUATION. The American Institute of Aeronautics and Astronautics, Joint Propulsion Conference and Exhibit, San Diego, CA.
  • Gates, M., Stich, S., McDonald, M., Muirhead, B., Mazanek, D., Abell, P., et al. (2014). THE ASTEROID REDIRECT MISSION AND SUSTAINABLE HUMAN EXPLORATION. 65th International Astronautical Congress, Administrator of the National Aeronautics and Space Administration, and Jet Propulsion Laboratory – California Institute of Technology, Toronto, Canada.
  • Hirata, C. (n.d.). Rockets and Space Transportation. Retrieved 2015, from web.archive.org: http://web.archive.org/web/20070701211813/http://www.pma.caltech.edu/~chirata/deltav.html
  • Howell, E. (2015, February 11). Boeing CST-100: Next-Generation Spaceship. Retrieved from Space.com: http://www.space.com/19367-boeing-cst-100.html
  • Khatri, M. K., Poudel, P. R., & Gautam, A. K. (2010). Principles of Physics. Kathmandu , 170-171.
  • Mainzer, A., Bauer, J., Cutri, R. M., Grav, T., Masiero, J., & Beck, R. (2014). Initial Performance
  • of the NEOWISE Reactivation Mission. The Astrophysical Journal , 792 (1).
  • Morbidelli, A., Jedicke, R., Bottke, W. F., Michael, P., & Tedesco, E. F. (2002). From magnitudes to diameters: the albedo distribution of near Earth objects and the Earth collision hazard. Icarus , 158, 329-342.
  • Muinonen, K., & Bowell, E. (1993). Asteroid orbit determination using Bayesian probabilities . Icarus , 104 (2), 255-279.
  • Popova, O. P., Jenniskens, P., Emel’yanenko, V., Kartashova, A., Biryukov, E., Khaibrakhmanov, S., et al. (2013). Chelyabinsk Airburst, Damage Assessment, Meteorite Recovery, and Characterization. Science , 342 (6162), 1069-1073.
  • Ross, S. D. (2001). Near-Earth Asteroid Mining. CA: Department of Control and Dynamical Systems, Pasadena.
  • Rubin, M., Altwegg, K., Balsiger, H., Bar-Nun, A., Bertheller, J. J., Bieler, A., et al. (2015, March). Molecular nitrogen in comet 67P/Churyumov-Gerasimenko indicates a low formation temperature. Science.
  • Schmidt, O. J. (1944). A meteoric theory of the origin of Earth and planets. ibid. , 45, 229-33.
  • Shoemaker, L. M., & Helin, L. E. (1978). Earth-approaching asteroids as targets for exploration. California Institute of Technology, Division of Geological and Planetary Sciences , Pasadena, CA.
  • SpaceX Capabilities and Services. (2014, September). Retrieved February 2015, from SpaceX: http://www.spacex.com/about/capabilities Vallado, D. A. (2001). Fundamentals of Astrodynamics and Applications, 2nd Edition. Springer.
  • Vasile, M., & De Pascale, P. (2006). On the Preliminary Design of Multiple Gravity-Assist Trajectories. J. Spacecraft Rockets , 43 (4), 5-22.