Constructing the secular architecture of the solar system II: The terrestrial planets

Abstract

We investigate the dynamical evolution of the terrestrial planets during the planetesimal-driven migration of the giant planets. A basic assumption of this work is that giant planet migration occurred after the completion of terrestrial planet formation, such as in the models that link the former to the origin of the Late Heavy Bombardment. The divergent migration of Jupiter and Saturn causes the g5 eigenfrequency to cross resonances of the form g5=gk with k ranging from 1 to 4. Consequently these secular resonances cause large-amplitude responses in the eccentricities of the terrestrial planets. We show that the resonances g5=g_4 and g5=g3 do not pose a problem if Jupiter and Saturn have a fast approach and departure from their mutual 2:1 mean motion resonance. On the other hand, the resonance crossings g5=g2 and g5=g1 are more of a concern as they tend to yield a terrestrial system incompatible with the current one. We offer two solutions to this problem. The first uses the fact that a secular resonance crossing can also damp the amplitude of a Fourier mode if the latter is large originally. A second scenario involves a 'jumping Jupiter' in which encounters between an ice giant and Jupiter, without ejection of the former, cause the latter to migrate away from Saturn much faster than if migration is driven solely by encounters with planetesimals. In this case, the g5=g2 and g5=g1 resonances can be jumped over, or occur very briefly.

Astronomy & Astrophysics (2009) in press

References in corpus (4)

• Dynamics of the giant planets of the solar system in the gaseous proto-planetary disk and relationship to the current orbital architecture
• A record of planet migration in the Main Asteroid Belt
• Constraints on resonant-trapping for two planets embedded in a protoplanetary disc
• Chaotic diffusion in the Solar System

Cited by in corpus (93)

• Building Terrestrial Planets
• Statistical Study of the Early Solar System's Instability with 4, 5 and 6 Giant Planets
• Dynamical Evolution of the Early Solar System
• A Sawtooth-like Timeline for the First Billion Year of Lunar Bombardment
• Foretellings of Ragnarök: World-engulfing Asymptotic Giants and the Inheritance of White Dwarfs
• Capture of Trojans by Jumping Jupiter
• Oort Cloud and Scattered Disc formation during a late dynamical instability in the Solar System
• Evidence from the asteroid belt for a violent past evolution of Jupiter's orbit
• Mars' Growth Stunted by an Early Giant Planet Instability
• Debris disks as signposts of terrestrial planet formation
• The Evidence for Slow Migration of Neptune from the Inclination Distribution of Kuiper Belt Objects
• Young Solar System's Fifth Giant Planet?
• Retention of a Primordial Cold Classical Kuiper Belt in an Instability-Driven Model of Solar System Formation
• Debris from terrestrial planet formation: the Moon-forming collision
• Lunar and Terrestrial Planet Formation in the Grand Tack Scenario
• On the Migration of Jupiter and Saturn: Constraints from Linear Models of Secular Resonant Coupling with the Terrestrial Planets
• Early Dynamical Evolution of the Solar System: Pinning Down the Initial Condition of the Nice Model
• Capture of Irregular Satellites at Jupiter
• The early instability scenario: terrestrial planet formation during the giant planet instability, and the effect of collisional fragmentation
• Dynamical evidence for an early giant planet instability
• Onset of giant planet migration before 4480 million years ago
• Kuiper belt: formation and evolution
• Terrestrial Planet Formation Constrained by Mars and the Structure of the Asteroid Belt
• Secular resonance sweeping of the main asteroid belt during planet migration
• The Fragility of the Terrestrial Planets During a Giant Planet Instability
• Constraining the giant planets' initial configuration from their evolution: implications for the timing of the planetary instability
• Can habitable planets form in clustered environments?
• Outward migration of Jupiter and Saturn in 3:2 or 2:1 resonance in radiative disks: implications for the Grand Tack and Nice models
• The Effect of an Early Planetesimal-Driven Migration of the Giant Planets on Terrestrial Planet Formation
• The evolution of asteroids in the jumping-Jupiter migration model
• Tracking Neptune's Migration History through High-Perihelion Resonant Trans-Neptunian Objects
• An Oort cloud origin for the high-inclination, high-perihelion Centaurs
• Dynamical and collisional constraints on a stochastic late veneer on the terrestrial planets
• Impact bombardment chronology of the terrestrial planets from 4.5 Ga to 3.5 Ga
• Re-examining the main asteroid belt as the primary source of ancient lunar craters
• The Dynamical Evolution of the Asteroid Belt
• Modeling the Historical Flux of Planetary Impactors
• The Role of Early Giant Planet Instability in the Terrestrial Planet Formation
• Constraining the Cratering Chronology of Vesta
• Constraining the primordial orbits of the Terrestrial Planets
• Origin and Dynamical Evolution of Neptune Trojans - II: Long Term Evolution
• Did the Hilda collisional family form during the late heavy bombardment?
• Excitation and depletion of the asteroid belt in the early instability scenario
• Terrestrial Planet Formation During the Migration and Resonance Crossings of the Giant Planets
• Is the Grand Tack model compatible with the orbital distribution of main belt asteroids?
• Review: A Coherent and Comprehensive Model of the Evolution of the Outer Solar System
• The Magellan PFS Planet Search Program: Radial Velocity and Stellar Abundance Analyses of the 360 AU, Metal-Poor Binary "Twins" HD 133131A & B
• OSSOS: XIII. Fossilized Resonant Dropouts Tentatively Confirm Neptune's Migration was Grainy and Slow
• Formation of Venus, Earth and Mars: Constrained by isotopes
• Born eccentric: constraints on Jupiter and Saturn's pre-instability orbits
• Tilting Saturn without tilting Jupiter: Constraints on giant planet migration
• Outer-planet scattering can gently tilt an inner planetary system
• Terrestrial planet formation by torque-driven convergent migration of planetary embryos
• A record of the final phase of giant planet migration fossilized in the asteroid belt's orbital structure
• Terrestrial planet formation: Dynamical shake-up and the low mass of Mars
• Not a simple relationship between Neptune's migration speed and Kuiper belt inclination excitation
• Checking the Compatibility of the Cold Kuiper Belt with a Planetary Instability Migration Model
• Instabilities in the Early Solar System due to a Self-gravitating Disk
• Jumping Jupiter can explain Mercury's orbit
• Constraining the Formation of the Four Terrestrial Planets in the Solar System
• Dynamics and habitability in circumstellar planetary systems of known binary stars
• Dynamical Evolution of the Earth-Moon Progenitors - Whence Theia?
• Clearing residual planetesimals by sweeping secular resonances in transitional disks: a lone-planet scenario for the wide gaps in debris disks around Vega and Fomalhaut
• Formation of Terrestrial Planets
• Stochasticity & Predictability in Terrestrial Planet Formation
• Origin and dynamical evolution of the asteroid belt
• Could Jupiter or Saturn Have Ejected a Fifth Giant Planet?
• Dynamical avenues for Mercury's origin I: The lone survivor of a primordial generation of short-period proto-planets
• Dynamical Packing in the Habitable Zone: The Case of Beta CVn
• Stability analysis of the Martian obliquity during the Noachian era
• The possible formation of Jupiter from supersolar gas
• The Dissipation of the Solar Nebula Constrained by Impacts and Core Cooling in Planetesimals
• The early instability scenario: Mars' mass explained by Jupiter's orbit
• Dynamical avenues for Mercury's origin II: in-situ formation in the inner terrestrial disk
• Scattering V-type asteroids during the giant planets instability: A step for Jupiter, a leap for basalt
• A race against the clock: Constraining the timing of cometary bombardment relative to Earth's growth
• Explaining Mercury via a single giant impact is highly unlikely
• The Dynamics of Tightly-packed Planetary Systems in the Presence of an Outer Planet: case studies using Kepler-11 and Kepler-90
• Can a jumping-Jupiter trigger the Moon's formation impact?
• Rethinking the role of the giant planet instability in terrestrial planet formation models
• Magnitude and timing of the giant planet instability: A reassessment from the perspective of the asteroid belt
• Mercury's formation within the Early Instability Scenario
• The origin of Neptune's unusual satellites from a planetary encounter
• Dynamical effects on the classical Kuiper Belt during the excited-Neptune model
• Stability of the Outer Planets in Multiresonant Configurations with a Self-gravitating Planetesimal Disk
• Constraints on planetesimal disk mass from the cratering record and equatorial ridge on Iapetus
• Prevalance of Chaos in Planetary Systems Formed Through Embryo Accretion
• Pre-LHB Evolution of the Earth's Obliquity
• Capture of satellites during planetary encounters A case study of the Neptunian moons Triton and Nereid
• Mid-infrared time-domain study of recent dust production events in the extreme debris disc of TYC 4209-1322-1
• Collisional heating of icy planetesimals. I. Catastrophic collisions
• The Moon-forming Impact as a Constraint for the Inner Solar System's Formation
• Orbital Dynamics of the Solar Basin