N) 2. N-body systems are chaotic, need lots of simulations This new study addresses these two issues Mercury modified to include state-of-the-art collisions model We performed hundreds of N-body simulations to infer results statistically Chambers (2013) Quintana et al. 2016 (arxiv 1511.03663)
ℓ = rtar + rimp - B ℓ = 2 rimp vimp vimp (a) (b) New Collision Model Based on model by Stewart & Leinhardt (2012) Mercury N-body integration package modified to include collision model that maps outcomes of a two-body collisions based on masses and impact geometry Outcomes include: -collision with central star, giant planet -perfect accretion -fragmentation -hit-and-run collisions (Asphaug 2006) Chambers (2013) Quintana et al. 2016 (arxiv 1511.03663)
orbits) Bimodal protoplanetary disk: 26 embryos (0.1 MEarth ) 260 planetesimals (0.01 MEarth ) Smallest fragments = 0.5 lunar mass Small change in initial conditions in each simulation 2 Gyr simulations, where all bodies fully interact gravitationally and collisionally
• Alter bulk compositions (e.g. Mercury, Earth-moon) • Affect potential habitability - alter spin and rotation rates (weather) - strip off oceans and atmospheres - wipe out life Timing of final giant collision (eg. Moon forming impacts) is important because you need enough time and enough residual material for Earth-like planets to accrete and retain water and other volatiles
that resemble the solar system Mars analogs defined as a planet with 0.05-0.2 Mearth, within 1.25-2 AU, and accreted no more than 10% of mass after 2 Myr Could the Grand Tack be a small number statistics issue? - Mars’ are uncommon but not rare
probabilistic manner. 1. Take best-guess initial conditions for disk that have been successful in broadly reproducing the inner Solar System 2. Run a large number of simulations 3. Infer distribution of physical properties (mass, number, water content, etc.) 4. Consider Solar System as one draw from these distributions Not necessary to always form the Solar System, occasionally forming the Solar System is ok to validate model
detailed modeling of planet accretion, erosion, water delivery, bulk compositions, giant impacts that can strip atmospheres/oceans With giant planets: collisions less frequent but have higher energies ~1/3 disk mass ejected Without giant planets: Collisions continue for Gyrs, but lower energy Very little mass ejected