Dynamical passage to approximate equilibrium shapes for spinning, gravitating rubble asteroids

Icarus

Volumn 200, Issue 1, 2009, Pages 304-322

  Sharma, Ishan ^a   Jenkins, James T ^b   Burns, Joseph A ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b Cornell University ^*  (United States)

Author keywords

Asteroids; dynamics; Geophysics; Interiors; Near Earth objects; Planetary dynamics; rotation; Rotational dynamics

Indexed keywords

EID: 60449097675     PISSN: 00191035     EISSN: 10902643     Source Type: Journal    
DOI: 10.1016/j.icarus.2008.11.003     Document Type: Article

References (33)

1. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions (1965), Dover, New York
2. Burns J.A., and Safronov V.S. Asteroid nutation angles. Mon. Not. R. Astron. Soc. 165 (1973) 403-411
3. Chandrasekhar S. Ellipsoidal Figures of Equilibrium (1969), Yale Univ. Press, New Haven, CT
4. Chen W., and Han D. Plasticity for Structural Engineers (1988), Springer-Verlag, New York
5. Chree C. Further applications of a new solution of the equations of an isotropic elastic solid, mainly to various cases of rotating bodies. Quart. J. Math. 23 (1889) 11-33
6. Fung Y. Foundations of Solid Mechanics (1965), Prentice-Hall, Englewood Cliffs, NJ
7. Holsapple K.A. Equilibrium configurations of solid cohesionless bodies. Icarus 154 (2001) 432-448
8. Holsapple K.A. Rubble pile asteroids: Stability of equilibrium shapes. Lunar Planet. Sci. (2002) Abstract 1843
9. Holsapple K.A. Equilibrium figures of spinning bodies with self-gravity. Icarus 172 (2004) 272-303
10. Holsapple K.A. Spin limits of Solar System bodies: From the small fast-rotators to 2003 EL61. Icarus 187 (2007) 500-509
11. Holzapfel G. Nonlinear Solid Mechanics (2001), John Wiley and Sons, New York
12. Jenkins J.T., and Savage S.B. Theory for the rapid flow of identical, smooth, nearly elastic spherical particles. J. Fluid Mech. 130 (1983) 187-202
13. Kaasalainen M., Torppa J., and Piironen J. Models of twenty asteroids from photometric data. Icarus 159 (2002) 369-395
14. Kaasalainen M., and 21 colleagues. Photometry and models of eight near-Earth asteroids. Icarus 167 (2004) 178-196
15. Koiter W.T. General theorems for elastic-plastic solids. In: Sneddon I.N., and Hill R. (Eds). Progress in Solid Mechanics vol. 1 (1960), North-Holland, Amsterdam 167-221
16. Love A. A Treatise on the Mathematical Theory of Elasticity. 4th ed (1946), Dover, New York
17. Ostro S.J., Hudson R.S., Benner L.A.M., Giorgini J.D., Magri C., Margot J., and Nolan M. Asteroid radar astronomy. In: Bottke Jr. W.F., Cellino A., Paolicchi P., and Binzel R.P. (Eds). Asteroids vol. III (2002), Univ. of Arizona Press, Tucson, AZ 151-168
18. Papadopoulos P. On a class of higher-order pseudo-rigid bodies. Math. Mech. Solids 6 (2001) 631-640
19. Pravec P., Harris A.W., and Michalowski T. Asteroid rotations. In: Bottke Jr. W.F., Cellino A., Paolicchi P., and Binzel R.P. (Eds). Asteroids vol. III (2002), Univ. of Arizona Press, Tucson, AZ 113-122
20. Richardson D.C., Bottke Jr. W.F., and Love S.G. Tidal distortion and disruption of Earth-crossing asteroids. Icarus 134 (1998) 47-76
21. Richardson D.C., Leinhardt Z.M., Melosh H.J., Bottke Jr. W.F., and Asphaug E. Gravitational aggregates: Evidence and evolution. In: Bottke Jr. W.F., Cellino A., Paolicchi P., and Binzel R.P. (Eds). Asteroids vol. III (2002), Univ. of Arizona Press, Tucson, AZ 501-515
22. Richardson D.C., Elankumaran P., and Sanderson R.E. Numerical experiments with rubble piles: Equilibrium shapes and spins. Icarus 173 (2005) 349-361
23. Scheeres D.J., Ostro S.J., Werner R.A., Asphaug E., and Hudson R.S. Effect of gravitational interactions on asteroid spin states. Icarus 147 (2000) 106-118
24. Scheeres D.J., Benner L.A.M., Ostro S.J., Rossi A., Mazari F., and Washabaugh P. Abrupt alteration of Asteroid 2004 MN4's spin state during its 2029 Earth flyby. Icarus 178 (2005) 281-283
25. Sharma, I., 2004. Rotational Dynamics of Deformable Ellipsoids with Applications to Asteroids. Ph.D. thesis, Cornell University
26. Sharma I., Jenkins J.T., and Burns J.A. Rotational dynamics of a deformable symmetric ellipsoid. Bull. Am. Astron. Soc. 35 (2003) 1034
27. Sharma I., Jenkins J.T., and Burns J.A. Equilibrium configurations and the Roche limit for spinning ellipsoidal soil-like asteroids. Bull. Am. Astron. Soc. 37 (2005) 643
28. Sharma I., Jenkins J.T., and Burns J.A. Equilibrium shapes of ellipsoidal soil asteroids. In: García-Rojo R., Hermann H.J., and McNamara S. (Eds). Proceedings of the 5th International Conference on Micromechanics of Granular Media vol. 1 (2005), A.A. Balkema, UK
29. Sharma I., Burns J.A., and Hui C.-Y. Nutational damping times in solids of revolution. Mon. Not. R. Astron. Soc. 359 (2005) 79-92
30. Sharma I., Jenkins J.T., and Burns J.A. Tidal encounters of ellipsoidal granular asteroids with planets. Icarus 183 (2006) 312-330
31. Simo J., and Hughes T. Computational Inelasticity (1997), Springer-Verlag, New York
32. Torppa J., Kaasalainen M., Michalowski T., Kwiatkowski T., Kryszczynska A., Denchev P., and Kowalski R. Shapes and rotational properties of thirty asteroids from photometric data. Icarus 164 (2003) 346-383
33. Truesdell C., and Toupin R.A. The classical field theories. In: Flügge S. (Ed). Encyclopedia of Physics, vol. III/I: Principles of Classical Mechanics and Field Theory (1960), Springer-Verlag, Berlin 226-793