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The Grand Tack Hypothesis

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Multi-Planet System Architecture and Orbital Stability AnalysisPlanetary Migration in Protoplanetary Disks→
planet-migration jupiter solar-system formation

Core Idea

The Grand Tack hypothesis proposes that Jupiter migrated inward toward the Sun (the inbound tack) and then outward again (the outbound tack) early in solar system history. This inward-outward migration would explain the solar system's unusual architecture—the scarcity of terrestrial planets in the inner system and the asymmetric asteroid belt. The hypothesis elegantly reconciles observed planetary spacing with formation models.

Explainer

From your study of planetary migration mechanisms and multi-planet system architecture, you know that giant planets do not necessarily stay where they form — gravitational interactions with the protoplanetary gas disk can cause them to migrate inward or outward over millions of years. The Grand Tack hypothesis applies this understanding to our own solar system, proposing a specific migration history for Jupiter that solves several longstanding puzzles about why the inner solar system looks the way it does.

The scenario begins about 3–5 million years after the Sun formed, when Jupiter had already accreted its massive gas envelope and was embedded in the remnant gas disk. Gravitational torques between Jupiter and the disk caused it to migrate inward — a well-understood process called Type II migration that has been observed in simulations of many planetary systems. In the Grand Tack model, Jupiter migrated inward to approximately 1.5 AU (roughly where Mars is today). This inward sweep was catastrophic for the inner disk: Jupiter's gravity scattered planetesimals and disrupted the solid material available to form terrestrial planets, effectively truncating the inner disk's mass supply.

The "tack" — the reversal — happened when Saturn, which formed more slowly, caught up to Jupiter and became locked in a mean-motion resonance (specifically a 2:3 resonance, where Saturn orbits twice for every three Jupiter orbits). Hydrodynamic simulations show that when two giant planets share a gap in the gas disk in this resonance configuration, the torques reverse: instead of migrating inward, the pair migrates outward together. Jupiter reversed course and retreated to approximately its current orbital distance of 5.2 AU, with Saturn following to about 7 AU (later evolving to 9.5 AU through subsequent dynamical interactions).

This inward-then-outward journey explains several otherwise puzzling features of the solar system. First, it accounts for Mars's small mass: Jupiter's passage through the Mars-forming region depleted the available building material, leaving Mars with only about one-tenth of Earth's mass — a result that standard formation models without migration consistently fail to reproduce. Second, it explains the structure of the asteroid belt, which contains two distinct populations (dry S-type asteroids in the inner belt and water-rich C-type asteroids in the outer belt). Jupiter's outward migration would have scattered C-type material inward from beyond the snow line while mixing it with S-type material left behind, naturally producing the observed compositional gradient. Third, the Grand Tack helps explain why the inner solar system has relatively little total mass compared to the tightly packed planetary systems discovered around other stars — Jupiter's early incursion cleared out material that might otherwise have built super-Earths. The hypothesis remains debated, with alternative models (like the "empty primordial belt" scenario) offering competing explanations, but it stands as one of the most influential frameworks for understanding our solar system's architecture as a product of dynamic history rather than static initial conditions.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Frequency-Dependent Permittivity and Dispersion → Electromagnetic Waves in Anisotropic Media → Birefringence and Dichroism → Wave Plates: Quarter-Wave and Half-Wave Plates → Circular and Elliptical Polarization Production → Polarization States: Linear, Circular, and Elliptical → Linear Superposition of Waves → Two-Source Interference Patterns → Path Difference and Constructive/Destructive Interference → Fringe Spacing in Interference Patterns → Young's Double-Slit Experiment and Analysis → Single-Slit Diffraction and Diffraction Patterns → Diffraction Limit and the Rayleigh Criterion → Fresnel Zones and Wavefront Propagation → Far-Field Diffraction and the Fraunhofer Approximation → Diffraction Gratings and the Grating Equation → Diffraction Gratings → Telescopes and Observing Methods → Stellar Properties: Luminosity, Temperature, and Size → Photometric Magnitude Systems and Color Indices → Stellar Spectral Classification → Nebulae and Star Formation → Planetary Formation: The Nebular Hypothesis → Protoplanetary Disk Structure and Evolution → Planetary Migration in Protoplanetary Disks → Late Heavy Bombardment and Planetary Migration → Orbital Resonance Capture and Locked Migration → N-Body Planetary Dynamics and Orbital Integration → Multi-Planet System Architecture and Orbital Stability Analysis → The Grand Tack Hypothesis

Longest path: 158 steps · 1215 total prerequisite topics

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