Animations
Some of the features of our results may be better seen
in animations of the family evolution in the proper element space; here
we give projection on the a-e plane for the simulation involving
synthetic families with close encounters and Yarkovsky effect (you can
see the animation by clicking on the link). We used a dt
of
25 My. Animation are in the avi format (if you are using linux
you may need xanim to see them).
Adeona: SWIFT-SKEEL
Adeona: SWIFT-RMVSY
Gefion: SWIFT-SKEEL
Gefion: SWIFT-RMVSY
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References
-
Benz, W. and E. Asphaug 1999. Catastrophic disruption revisited.
Icarus
142,
5-20.
-
Biesiadecki, J. J., and R. D. Skeel 1993. Dangers of multiple
time step methods. J. Comput. Phys. 109, 318-328.
-
Binzel, R. P. 1988. Collisional evolution in the Eos and
Koronis asteroid families: Observational and numerical results. Icarus73,
303-313.
-
Bottke, W. F. Jr., and R. Greenberg 1993. Asteroidal collision
probabilities. Geophysical Research Letters 20, 879-881.
-
Bottke, W. F. Jr., M. C. Nolan, R. Greenberg, and R. A. Kolvoord
1993. Velocity distributions among colliding asteroids. Icarus
107,
255-268.
-
Bottke, W. F. Jr.,D. Vokrouhlicky', M. Broz', D. Nesvorny',
and A. Morbidelli (2001). Dynamical Spreading of Asteroid Families via
the Yarkovsky Effect: the Koronis Family and Beyond. Submitted to Science.
-
Broz', M. 1999. Diploma thesis, Charles Univ. Prague.
-
Burns, J. A., P. L. Lamy, and S. Soter 1979. Radiation forces
on small particles in the Solar System. Icarus 40,
1-48.
-
Cellino, A., P. Michel, P. Tanga, V. Zappala', P. Paolicchi,
A. Dell'Oro 1999. The velocity-size relationship for members of asteroid
families and implications for the physics of catastrophic collisions. Icarus
141,
79-95.
-
Chapman, C. R., E. V. Ryan, W. J. Merline, G. Neukum, R.
Wagner, P. C. Thomas, J. Veverka, and R. J. Sullivan 1996. Cratering on
Ida. Icarus 120, 77-86.
-
Danby, J. M. A. 1962. Fundaments of Celestial Mechanics.
Ed. Willmann-Bell.
-
Dones, L., B. Gladman, H. J. Melosh, W. B. Tonks, H. F. Levison,
and M. Duncan 1999. Dynamical lifetimes and final fates of small bodies:
orbit integrations vs. Opik calculations. Icarus 142, 509-524.
-
Duncan, M. J., H. F. Levison, and M. H. Lee 1998. A multiple
time step symplectic algorithm for integrating close encounters. The Astron.
J. 116, 2067-2077.
-
Farinella, P., and D. R. Davis 1992. Collision rates and
impact velocities in the main asteroid belt. Icarus 97,
111-123.
-
Farinella, P., R. Gonczi, Ch. Froeschle', C. Froeschle' 1993.
The injection of asteroid fragments into resonances. Icarus 101,
101-174.
-
Farinella, P., D. Vokrouhlicky 1999. Semimajor axis mobility
of asteroidal fragments. Science 283, 1507-1510.
-
Fujiwara, A., P. Cerroni, D. R. Davis, E. Ryan, M. DiMartino,
K. Holsapple, and K. Housen 1989. Experiments and scaling laws on catastrophic
collisions. In Asteroid 2 (R. P. Binzel, T. Gehrels, and M. S. Matthews,
Eds.), 240-265. Univ. of Arizona Press, Tucson.
-
Giblin, I., J. Petit, P. Farinella 1998. The properties of
fragments from catastrophic disruption events. Icarus 134,
77-112.
-
Gladman, B. J., F. Migliorini, A. Morbidelli, V. Zappala',
P. Michel, A. Cellino, C. Froeschle', H. F. Levison, M. Bailey, and M.
Duncan 1997. Dynamical lifetimes of objects injected into asteroid belt
resonances.
Sciences 277, 197-201.
-
Goffin, E. 2001. New determination of the mass of Pallas.
Astron.
Astroph. 365, 627-630.
-
Greenberg, R. 1982. Orbital interactions: a new geometrical
formalism. Astron. J. 87, 184-195.
-
Hilton, J. L. 1999. US naval observatory ephemerides of the
largest asteroids. Astron. J. 117, 1077-1086.
-
Hoffmann, M. 1991. Asteroid-asteroid interactions, dynamically
irrelevant? Modern Astronomy 4, 165-172.
-
Knezevic, Z., and A. Milani 2001. Synthetic proper elements
for outer main belt asteroids, preprint.
-
Lagerros, J. S. V., T. G. Muller, U. Klaas, A. Erikson 1999.
ISOPHOT polarization measurments of the asteroids (6) Hebe and (9) Metis
at 2.5 microm. Icarus 142, 454-463.
-
Love S. G., and T. J. Ahrens 1996. Catastrophic impacts on
gravity dominated asteroids. Icarus 124, 141-155.
-
Martelli, G., E. V. Ryan, A. M. Nakamura, and I. Giblin 1994.
Catastrophic disruption experiments: recent results. Planet. Space Sci.
42,
1013-1026.
-
Marzari, F., D. Davis, V. Vanzani 1995. Collisional evolution
of asteroid families. Icarus 113, 168-187.
-
Marzari, F., P. Farinella, and D. R, Davis 1999. Origin,
aging and death of asteroid families. Icarus 142, 63-77.
-
Michalak, G. 2000. Determination of asteroid masses- (1)
Ceres, (2) Pallas, and (4) Vesta. Astron. Astroph. 360,
363-374.
-
Michel, P., and C. Froeschle' 1997. The location of linear
secular resonances for semimajor axis smaller than 2 AU. Icarus129,
348-366.
-
Migliorini, F., V. Zappala', R. Vio, and A. Cellino 1995.
Interlopers within asteroid families. Icarus 118, 271-291.
-
Migliorini, F., D. Nesvorny', and V. Zappala' 1998. Origins
of Earth-crossing asteroids: a quantitative simulation. Sciences
281,
2022-2024.
-
Mikkola, S. 1998. Non-canonical perturbations in symplectic
integrations. Celest. Mech. Dyn. Astr. 71, 243-271.
-
Milani, A., and Z. Knezevic 1994. Asteroid proper elements
and the dyanmical structure of the asteroid main belt. Icarus 107,
219-254.
-
Morbidelli, A., and D. Nesvorny' 1999. Numerous weak resonances
drive asteroid toward terrestrial planets orbits. Icarus 139,
295-308.
-
Morbidelli, A., V. Zappala', M. Moons, A. Cellino, and R.
Gonczi 1995. Asteroid families close to mean motion resonances: dynamical
efects and physical implications. Icarus 118, 132-154.
-
Murray, N., and M. Holman 1997. Diffusive chaos in the outer
belt. Astron. J. 114, 1246-1259.
-
Nesvorny', D., and A. Morbidelli 1998. Three-body mean motion
resonances and the chaotic structure of the asteroid belt. Astron.
J. 116, 3029-3037.
-
Nesvorny', D., and A. Morbidelli 1999. An analytical model
of three-body mean motion resonances. Cel. Mech. Dyn. Astr. 71,
243-271.
-
Nesvorny', D., A. Morbidelli, D. Vokrouhlicky', W. Bottke,
and M. Broz 2001. The Flora family: a case of the dynamically dispersed
collisional swarm? Submitted to Icarus.
-
Opik, E. J. 1951. Collision probabilities with the planets
and the distribution of inter-planetary matter. Proc. R. Ir. Acad.
54A,
165-199.
-
Petit, J. M., and P. Farinella 1993. Modelling the outcome
of high-velocities impacts between small solar system bodies. Celest.
Mech. 57, 1-28.
-
Pisani, E., A. Dell' Oro, and P. Paolicchi 1999. Puzzling
asteroid families. Icarus 142, 72-88.
-
Scholl, H., L. D. Schmadel, S. Roser 1987. The mass of the
asteroid (10) Hygiea derived from observations of (829) Academia. Astron.
Astroph. 179, 311-316.
-
Skeel, R. D., and J. J. Biesiadecki 1994. Ann. Numer.
Math.1, 191-203.
-
Spitale, J., and R. Greenberg 2001. Numerical evaluation
of the general Yarkovsky effect: effects on semimajor axis. Icarus 149,
222-234.
-
Tanga, P., A. Cellino, P. Michel, V. Zappala', P. Paolicchi,
and A. Dell' Oro 1999. On the size distribution of asteroid families: the
role of geometry. Icarus 141, 65-78.
-
Vokrouhlicky', D. 1999. A complete linear model for the Yarkovsky
thermal force on spherical asteroid fragments. Astron. Astroph.
344,
362-366.
-
Vokrouhlicky', D., and P. Farinella 1998. The Yarkovsky seasonal
effect on asteroidal fragments: a nonlinearized theory for the plane-parallel
case. Astron. J. 116, 2032-2041.
-
Wisdom, J., and M. Holman 1991. Symplectic maps for the n-body
problem. Astron. J. 102, 1528-1538.
-
Zappala', V., P. Farinella, Z. Knezevic, and P. Paolicchi
1984. Collisional origin of the asteroid families: mass and velocity distributions.
Icarus
59,
261-285.
-
Zappala', V., A. Cellino, P. Farinella, and A. Milani 1994.
Asteroid families 2. Extension to unnumbered multiopposition asteroids.
Astron.
J. 107, 772-801.
-
Zappala', V., Ph. Bendjoya, A. Cellino, P. Farinella, and
C. Froeschle' 1995. Asteroid families: Search of a 12,487-asteroid sample
using two different clustering techniques. Icarus, 116, 291-314.
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