A few points on the dynamical evolution of the young solar system. Renu Malhotra The University of Arizona
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1 A few points on the dynamical evolution of the young solar system Renu Malhotra The University of Arizona
2 A few points on the dynamical evolution of the young solar system Renu Malhotra The University of Arizona Late stages of planet formation - planetesimal-driven migration
3 A few points on the dynamical evolution of the young solar system Renu Malhotra The University of Arizona Late stages of planet formation - planetesimal-driven migration Kuiper belt & asteroid belt extent, timescale of Jupiter-Neptune migration
4 A few points on the dynamical evolution of the young solar system Renu Malhotra The University of Arizona Late stages of planet formation - planetesimal-driven migration Kuiper belt & asteroid belt extent, timescale of Jupiter-Neptune migration - appears to be nearly incompatible with stability of terrestrial planets
5 A few points on the dynamical evolution of the young solar system Renu Malhotra The University of Arizona Late stages of planet formation - planetesimal-driven migration Kuiper belt & asteroid belt extent, timescale of Jupiter-Neptune migration - appears to be nearly incompatible with stability of terrestrial planets - how to save Earth?
6 Jupiter,...,Neptune + trillions of leftover planetesimals Jupiter migrates inward, Neptune migrates outward Fernandez & Ip 1984
7 1993 Nature Publishing Group Pluto s resonance and eccentricity g Group ep = 0.25 Neptune s migration an 5 AU time
8 More observational evidence in Kuiper Belt dynamical structure Inclination (degrees) eccentricity semimajor axis, a (AU)
9 More observational evidence in Kuiper Belt dynamical structure Inclination (degrees) eccentricity semimajor axis, a (AU) resonances eccentricities inclinations
10 More observational evidence in Kuiper Belt dynamical structure Inclination (degrees) eccentricity semimajor axis, a (AU) Resonance sweeping during outward migration of Neptune smooth migration adiabatic invariant (3:2 MMR): a 1/2 [2-3(1-e 2 ) 1/2 cos i] Neptune migrated out 10AU
11 More observational evidence in Kuiper Belt dynamical structure Inclination (degrees) eccentricity semimajor axis, a (AU)
12 More observational evidence in Kuiper Belt dynamical structure Inclination (degrees) eccentricity semimajor axis, a (AU) Planetesimal-driven migration Angular momentum conservation: (m pl a) (m N a N ) m pl 30 m planetesimal disk fueled Neptune s ~10 AU migration Energy conservation Jupiter: (m J /a J ) (m pl /a) a J -0.2AU
13 More observational evidence in Kuiper Belt dynamical structure Inclination (degrees) eccentricity semimajor axis, a (AU) Resonance sweeping during outward migration of Neptune smooth migration adiabatic invariant (3:2 MMR): a 1/2 [2-3(1-e 2 ) 1/2 cos i] Neptune migrated out 10AU m(planetesimals) 30 M Jupiter migrated inward~0.2 AU BUT: This constraint fails if planets encounter MMRs
14 time
15 The initial conditions were carefully chosen to... time
16 The initial conditions were carefully chosen to... time Nice Model (2005)
17 More observational evidence in Kuiper Belt dynamical structure Inclination (degrees) eccentricity semimajor axis, a (AU) Resonance sweeping during outward migration of Neptune smooth migration adiabatic invariant (3:2 MMR): a 1/2 [2-3(1-e 2 ) 1/2 cos i] Neptune migrated out 10 AU m(planetesimals) 30 M Jupiter migrated inward~0.2 AU BUT: This constraint fails if planets encounter MMRs. Does that mean we have NO constraints on Neptune/Jupiter migration?
18 Distribution of asteroids observationally complete primordial set: H<9.7 (D>50 km), N 950 Minton & Malhotra, 2009
19 Distribution of asteroids observationally complete primordial set: H<9.7 (D>50 km), N 950 3:1 5:2 7:3 2:1 Minton & Malhotra, 2009
20 Distribution of asteroids observationally complete primordial set: H<9.7 (D>50 km), N 950 ν6 3:1 5:2 7:3 2:1 Minton & Malhotra, 2009
21 Distribution of asteroids observationally complete primordial set: H<9.7 (D>50 km), N 950 ν6 3:1 5:2 7:3 2:1 Minton & Malhotra, 2009 dynamically stable regions are not uniformly filled distribution reflects the last major dynamical event
22 Sculpting of the Asteroid Belt simulated 4 gyr of planetary perturbations Minton & Malhotra, 2009
23 Sculpting of the Asteroid Belt simulated 4 gyr of planetary perturbations compared to observed belt Minton & Malhotra, 2009 ν6 3:1 5:2 2:1
24 Sculpting of the Asteroid Belt simulated 4 gyr of planetary perturbations compared to observed belt Minton & Malhotra, 2009 ν6 3:1 5:2 2:1 Missing asteroids: explained by effects of Jupiter-Saturn migration a Jupiter -0.2AU, a Saturn +1.0AU migration timescale a few megayears
25 Saturn s migration ν6 secular resonance sweeping eccentricity (c) excites asteroid eccentricities Numerical time Integration (myr) Minton & Malhotra, 2011 eccentricity vector: ef = ei+δe δe : controlled by e6 da6/dt needs a deeper look Saturn: Δa 1 AU, da/dt 0.15 (e 6 /e 6c ) 2 AU/myr
26 Effects of Jupiter-Saturn migration on terrestrial planets Agnor & Lin, 2012 Brasser et al., 2012 Brasser et al., 2013 Mars Earth Venus Mercury ν5 secular resonance - excite eccentricities - multiple crossings - low probability of cancellation - low probability of successful outcomes in numerical sims, even with very fast migration, jumping Jupiter style This is disturbing!
27 How to save the terrestrial planets? Options? Agnor & Lin suggest that the terrestrial planets formed after giant planet migration was completed Strom et al., But missing asteroids left their imprint in the crater record - ~3.9 Ga
28 How to save the terrestrial planets? Options? Agnor & Lin suggest that the terrestrial planets formed after giant planet migration was completed Strom et al., But missing asteroids left their imprint in the crater record - ~3.9 Ga - Size distribution of impactors - same as Main belt asteroids but different than younger impactors
29 How to save the terrestrial planets? Options? - other missing mass to kill ν5? - different arrangement of terrestrial planets? - 5th terrestrial planet? - massive leftover planetesimal population in the inner solar system?
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