Abstract
In this chapter, we apply the framework developed in the previous chapter to look at the equilibrium shapes of rotating rubble ellipsoids. We will apply the results to look at features of several known asteroids that may be granular aggregates.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
A velocity field that satisfies all displacement boundary conditions. There are none imposed on an isolated asteroid.
References
W.F. Bottke Jr., A. Cellino, P. Paolicchi, R.P. Binzel, An Overview of the Asteroids: The Asteroids III Perspective, in Asteroids III, ed. by W.F. Bottke Jr., A. Cellino, P. Paolicchi, R.P. Binzel (U. Arizona Press, Tucson, 2002), pp. 3–15
S. Breiter, A. Rozek, D. Vokrouhlicky, Stress fields and nutation damping for inelastic three-axis ellipsoids. Mon. Not. R. Astron. Soc. 165, 403–411 (2012)
J.A. Burns, V.S. Safronov, Asteroid nutation angles. Mon. Not. R. Astron. Soc. 165, 403–411 (1973)
S. Chandrasekhar, Ellipsoidal Figures of Equilibrium (Yale University Press, New Haven, 1969)
W.F. Chen, D.J. Han, Plasticity for Structural Engineers (Springer-Verlag, New York, 1988)
Y. Hagihara, Theories of Equilibrium Figures of a Rotating Homogeneous Fluid Mass (US Government Printing Office, Washington, D.C., 1970)
A.W. Harris, E.G. Fahnestock, P. Pravec, On the shapes and spins of rubble pile asteroids. Icarus 199, 310–318 (2009)
K.A. Holsapple, Equilibrium configurations of solid cohesionless bodies. Icarus 154, 432–448 (2001)
K.A. Holsapple, Equilibrium figures of spinning bodies with self-gravity. Icarus 172, 272–303 (2004)
K.A. Holsapple, Spin limits of solar system bodies: from the small fast-rotators to 2003 EL61. Icarus 187, 500–509 (2007)
K.A. Holsapple, Spinning rods, elliptical disks and solid ellipsoidal bodies: elastic and plastic stresses and limit spins. Int. J. Nonlinear Mech. 43, 733–742 (2008)
R.S. Hudson, S.J. Ostro, Shape and non-principal axis spin state of asteroid 4179 Toutatis. Science 270, 84–86 (1995)
W. Jardetzky, Theories of Figures of Celestial Bodies (Interscience pub, New York, 1958)
M. Kaasalainen, J. Torppa, J. Piironen, Models of twenty asteroids from photometric data. Icarus 159, 369–395 (2002)
M. Kaasalainen et al., Photometry and models of eight near-earth asteroids. Icarus 167, 178–196 (2004)
S.J. Ostro, R.S. Hudson, L.A.M. Benner, J.D. Giorgini, C. Magri, J.-L. Margot, M.C. Nolan, Asteroid Radar Astronomy, in Asteroids III, ed. by W.F. Bottke Jr., A. Cellino, P. Paolicchi, R.P. Binzel (U. Arizona Press, Tucson, 2002), pp. 151–168
P. Pravec, A.W. Harris, T. Michalowski, Asteroid Rotations, in Asteroids III, ed. by W.F. Bottke Jr., A. Cellino, P. Paolicchi, R.P. Binzel (U. Arizona Press, Tucson, 2002), pp. 113–122
D.C. Richardson, Z.M. Leinhardt, H.J. Melosh, W.F. Bottke Jr., E. Asphaug, Gravitational Aggregates: Evidence and Evolution, in Asteroids III, ed. by W.F. Bottke Jr., A. Cellino, P. Paolicchi, R.P. Binzel (U. Arizona Press, Tucson, 2002), pp. 501–515
D.C. Richardson, P. Elankumaran, R.E. Sanderson, Numerical experiments with rubble piles: equilibrium shapes and spins. Icarus 173, 349–361 (2005)
P. Sanchez, D.J. Scheeres, Simulating asteroid rubble piles with a self-gravitating soft-sphere distinct element method model. Astrophys. J. 727, 120–133 (2011)
P. Sanchez, D.J. Scheeres, DEM simulation of rotation-induced reshaping and disruption of rubble-pile asteroids. Icarus 218, 876–894 (2012)
I. Sharma, J.A. Burns, C.-Y. Hui, Nutational damping times in solids of revolution. Mon. Not. R. Astron. Soc. 359, 79–92 (2005)
I. Sharma, J.T. Jenkins, J.A. Burns, Dynamical passage to approximate equilibrium shapes for spinning, gravitating rubble asteroids. Icarus 200, 304–322 (2009)
J. Torppa, M. Kaasalainen, T. Michalowski, T. Kwiatkowski, A. Kryszczynska, P. Denchev, R. Kowalski, Shapes and rotational properties of thirty asteroids from photometric data. Icarus 164, 346–383 (2003)
C. Truesdell, R.A. Toupin, The classical field theories, in Encyclopedia of Physics Vol. III/I: Principles of Classical Mechanics and Field Theory, ed. by S. Flügge (Springer, Berlin, 1960), pp. 226–793
K.J. Walsh, D.C. Richardson, Binary near-earth asteroid formation: rubble pile model of tidal disruptions. Icarus 180, 201–216 (2006)
K.J. Walsh, D.C. Richardson, P. Michel, Rotational breakup as the origin of small binary asteroids. Nature 454, 188–191 (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Sharma, I. (2017). Asteroids. In: Shapes and Dynamics of Granular Minor Planets. Advances in Geophysical and Environmental Mechanics and Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-40490-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-40490-5_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-40489-9
Online ISBN: 978-3-319-40490-5
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)