Generalized YORP evolution: Onset of tumbling and new asymptotic states

Icarus

Volumn 191, Issue 2, 2007, Pages 636-650

  Vokrouhlicky D ^a   Breiter, S ^b   Nesvorny D ^a   Bottke, W F ^a  

^a SOUTHWEST RESEARCH INSTITUTE   (United States)

^b ADAM MICKIEWICZ UNIVERSITY   (Poland)

Author keywords

Asteroids; rotation; Rotational dynamics

Indexed keywords

EID: 35448983046     PISSN: 00191035     EISSN: 10902643     Source Type: Journal    
DOI: 10.1016/j.icarus.2007.06.002     Document Type: Article

References (48)

1. Abramowitz M., and Stegun I. Handbook of Mathematical Functions (1964), National Bureau of Standards, Washington
2. Bottke W.F., Vokrouhlický D., Rubincam D.P., and Brož M. Dynamical evolution of asteroids and meteoroids using the Yarkovsky effect. In: Bottke W.F., Cellino A., Paolicchi P., and Binzel R.P. (Eds). Asteroids III (2002), Univ. of Arizona Press, Tucson 395-408
3. Bottke W.F., Vokrouhlický D., Rubincam D.P., and Nesvorný D. The Yarkovsky and YORP effects: Implications for asteroid dynamics. Annu. Rev. Earth Planet. Sci. 34 (2006) 157-191
4. Breiter S., Melendo B., Bartczak P., and Wytrzyszczak I. Synchronous motion in the Kinoshita problem. Application to satellites and binary asteroids. Astron. Astrophys. 437 (2005) 753-764
5. Burns J.A., Lamy P.L., and Soter S. Radiation forces on small particles in the Solar System. Icarus 40 (1979) 1-48
6. Čapek D., and Vokrouhlický D. The YORP effect with finite thermal conductivity. Icarus 172 (2004) 526-536
7. Dobrovolskis A.R. Inertia of any polyhedron. Icarus 124 (1996) 698-704
8. Ďurech J., Scheirich P., Kaasalainen M., Grav T., Jedicke R., and Denneau L. Physical models of asteroids from sparse photometric data. In: Milani A., Valsecchi G.B., and Vokrouhlický D. (Eds). Near Earth Objects, Our Celestial Neighbors: Opportunity and Risk (2007), Cambridge Univ. Press, Cambridge 191-200
9. Efroimsky M. Precession of a freely rotating rigid body. Inelastic relaxation in the vicinity of poles. J. Math. Phys. 41 (2000) 1854-1888
10. Efroimsky M. Relaxation of wobbling asteroids and comets-Theoretical problems, perspectives of experimental observation. Planet. Space Sci. 49 (2001) 937-955
11. Gick A., Williams M.H., and Longuski J.M. Periodic solutions for spinning asymmetric rigid bodies with constant principal-axis torque. J. Guidance Control Dynam. 23 (2000) 781-788
12. Harris A.W. Tumbling asteroids. Icarus 107 (1994) 209-211
13. Kaasalainen M., Ďurech J., Warner B.D., Krugly Y.N., and Gaftonyuk N. Direct detection of acceleration in Asteroid (1862) Apollo's rotation due to radiation torques. Nature 446 (2007) 420-422
14. Kaula W.M. An Introduction to Planetary Physics. The Terrestrial Planets (1968), Wiley & Sons, New York
15. Landau L.D., and Lifschitz E.M. Mechanics (1976), Pergamon Press, Oxford
16. Livneh R., and Wie B. New results for an asymmetric rigid body with constant body-fixed torques. J. Guidance Control Dynam. 20 (1997) 873-881
17. Longuski J.M., Gick R.A., Ayoubi M.A., and Randall L. Analytical solutions for thrusting, spinning spacecraft subject to constant forces. J. Guidance Control Dynam. 28 (2005) 1301-1308
18. Lowry S., and 9 colleagues. Direct observational detection of the asteroidal YORP effect. Science 316 (2007) 272-274
19. Maciejewski A.J. Reduction, relative equilibria and potential in the two rigid bodies problem. Celest. Mech. Dynam. Astron. 63 (1995) 1-28
20. McLachlan R.I., and Quispel G.R.W. Splitting methods. Acta Numer. 11 (2002) 341-434
21. Morbidelli A., and Vokrouhlický D. The Yarkovsky-driven origin of near-Earth asteroids. Icarus 163 (2003) 120-134
22. Muinonen K. Introducing the Gaussian shape hypothesis for asteroids and comets. Astron. Astrophys. 332 (1998) 1087-1098
23. Nesvorný, D., Vokrouhlický, D., 2007. Analytic theory of the YORP effect for near-spherical objects. Astron. J., in press
24. Olver P.J. Application of Lie groups to differential equations. In: Axler S., Gehring F.W., and Ribet K.A. (Eds). Graduate Texts in Mathematics vol. 107 (1993), Springer, New York 378-421
25. Ostro S.J., Hudson R.S., Benner L.A.M., Giorgini J.D., Margi C., Margot J.-L., and Nolan M.C. Asteroid radar astronomy. In: Bottke W.F., Cellino A., Paolicchi P., and Binzel R.P. (Eds). Asteroids III (2002), Univ. of Arizona Press, Tucson 151-168
26. Ostro S.J., and 15 colleagues. Radar imaging of binary near-Earth Asteroid (66391) 1999 KW4. Science 314 (2006) 1276-1280
27. Paolicchi P., Burns J.A., and Weidenschilling S.J. Side effects of collisions: Spin rate changes, tumbling rotation states, and binary asteroids. In: Bottke W.F., Cellino A., Paolicchi P., and Binzel R.P. (Eds). Asteroids III (2002), Univ. of Arizona Press, Tucson 517-526
28. Pravec P., and 19 colleagues. Tumbling asteroids. Icarus 173 (2005) 108-131
29. Pravec P., Harris A.W., and Warner B.D. NEA rotations and binaries. In: Milani A., Valsecchi G.B., and Vokrouhlický D. (Eds). Near Earth Objects, Our Celestial Neighbors: Opportunity and Risk (2007), Cambridge Univ. Press, Cambridge 167-176
30. Rubincam D.P. Radiative spin-up and spin-down of small asteroids. Icarus 148 (2000) 2-11
31. Scheeres D.J. The dynamical evolution of uniformly rotating asteroids subject to YORP. Icarus 188 (2007) 430-450
32. Scheeres D.J., and 15 colleagues. Dynamical configuration of binary near-Earth Asteroid (66391) 1999 KW4. Science 314 (2006) 1280-1283
33. Scheeres D.J., Abe M., Yoshikawa M., Nakamura R., Gaskell R.W., and Abell P.A. The effect of YORP on Itokawa. Icarus 188 (2007) 425-429
34. 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
35. Slivan S.M. Spin vector alignment of Koronis family asteroids. Nature 419 (2002) 49-51
36. Slivan S.M., Binzel R.P., Crespo da Silva M., Kaasalainen L.D., Lyndaker M.M., and Krčo M. Spin vectors in the Koronis family: Comprehensive results from two independent analyses of 213 rotation lightcurves. Icarus 162 (2003) 285-307
37. Taylor P., and 11 colleagues. Increasing spin rate of Asteroid 54509 (2000 PH5) a result of the YORP effect. Science 316 (2007) 274-277
38. Tong X., and Tabarrok B. Bifurcation of self-excited rigid bodies subjected to small perturbation torques. J. Guidance Control Dynam. 20 (1997) 123-128
39. Touma J., and Wisdom J. Lie-Poissonian integrators for rigid body dynamics in the Solar System. Astron. J. 107 (1994) 1189-1202
40. Tsiotras P., and Longuski J.M. A complex analytic solution for the attitude motion of a near-symmetric rigid body under body-fixed torques. Celest. Mech. Dynam. Astron. 51 (1991) 281-301
41. Vokrouhlický D., and Čapek D. YORP-induced long-term evolution of the spin state of small asteroids and meteoroids. Rubincam's approximation. Icarus 159 (2002) 449-467
42. Vokrouhlický D., Nesvorný D., and Bottke W.F. The vector alignments of asteroid spins by thermal torques. Nature 425 (2003) 147-152
43. Vokrouhlický D., Čapek D., Kaasalainen M., and Ostro S.J. Detectability of YORP rotational slowing of Asteroid 25143 Itokawa. Astron. Astrophys. 414 (2004) L21-L24
44. Vokrouhlický D., Brož M., Bottke W.F., Nesvorný D., and Morbidelli A. Yarkovsky/YORP chronology of asteroid families. Icarus 182 (2006) 111-142
45. Vokrouhlický D., Brož M., Bottke W.F., Nesvorný D., and Morbidelli A. The peculiar case of the Agnia asteroid family. Icarus 183 (2006) 349-361
46. Wang L.-S., Krishnaprasad P.S., and Maddocks J.H. Hamiltonian dynamics of a rigid body in a central gravitational field. Celest. Mech. Dynam. Astron. 50 (1991) 349-386
47. Whittaker E.T. A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (1944), Dover Publications, New York
48. Yoshida H. Recent progress in the theory and application of symplectic integrators. Celest. Mech. Dynam. Astron. 56 (1993) 27-43