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SMALL BODIES

SMALL BODIES. (which could harbour life !). Small planets in Earth-like orbits Small planets in mean-motion resonances Planetary Satellites Trojan planets. (in planetary systems like those discovered). E A R T H S. Jupiter at 5.2 AU and Saturn at 9.5 AU do not

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SMALL BODIES

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  1. SMALL BODIES (which could harbour life !) Small planets in Earth-like orbits Small planets in mean-motion resonances Planetary Satellites Trojan planets (in planetary systems like those discovered)

  2. E A R T H S Jupiter at 5.2 AU and Saturn at 9.5 AU do not preclude the existence of the inner solar system and asteroids in ordinary orbits under ~3.5 AU. But what about one planetary system with two or more planets as big or larger than Jupiter in very eccentric orbits?

  3. Dynamical Map of the region between the planets B and C of upsilon Andromeda. cf. Robutel & Laskar, 2000 (unpublished) Colision lines regular chaotic

  4. Dynamical Map of the region between the planets C and D of upsilon Andromeda... ... and beyond 5/2

  5. ... and beyond cf. Robutel & Laskar, 2000 (unpublished) 5/1 4/1 . mean-motion resonances regular chaotic

  6. Minimum distance from the Plutinos to Neptune Plutinos e 0.3 0.2 0.1 0.0 0 0 5 10 15 20 25 AU Ref: Nesvorny & Roig, Icarus 248 (2000)

  7. Dynamical Map of 3/2 resonance and the Hildas Refs: Nesvorny & SFM Icarus 130 (1997) SFM, Cel. Mech. Dyn. Astron. 73 (1999)

  8. DIAMETER OF THE HILDAS Ref: SFM et al., Astron. Soc. Pac. Conf. Ser. 149 (1998)

  9. Dynamical Map of 2/1 resonance. The Hecuba gap Refs: Nesvorny & SFM Icarus 130 (1997) SFM, Cel. Mech. Dyn. Astron. 73 (1999)

  10. Times of residence of asteroids inserted in the 2/1 resonance 0 0.5 1 Gyr Roig et al., Mon. Not. R. Astr. Soc. 335 (2002)

  11. Asteroidal 3/1 Resonance – Maximum Eccentricity Variation 0.9 0.0 0.9 Ref:Klafke, Dr.Thesis 2002 De= 0.0 0.2 0.4

  12. Dynamical Maps far away from the planets of upsilon Andromeda. regular chaotic cf. Robutel & Laskar, 2000 (unpublished)

  13. PLANETARY SATELLITES In those planets moving very close to a star, the motion of one satellite is strongly perturbed by the gravitational field of the star.

  14. Energy of an “outer” satellite. (averaged over the satellite period) Ref: Kinoshita & Nakai, Celest. Mech. Dyn. Astron. 52 (1991) For a more complete model see Yokoyama et al. Astron. Astrophys. 401 (2003).

  15. Level curves F=const. Max eccentricity = 0.4

  16. Level curves F=const. Max eccentricity = 0.7 Kozai resonance

  17. Level curves F=const. Max eccentricity = 0.9 Kozai resonance

  18. Consequence for direct outer satellites of Jupiter Maximum Eccentricities reached during a simulation over 0.6 Myr 0.026 a_pl = Ref: Yokoyama et al., Astron. Astrophys. 401 (2003)

  19. TROJAN PLANETS Could Earth-like Trojan Planets survive the planetary migration processes?

  20. Dynamical map of the Trojans region

  21. What happens if Saturn is shifted outwards by 0.03 AU? (or, equivalently, if Jupiter is shifted inwards by ~0.02 AU) Remember Jupiter's region Dynamical Map

  22. Comparing the two Ref: Michtchenko & SFM, Astron. J. 122 (2001)

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