A topic in the Open Knowledge Graph — a free, open map of 15,290 topics and the order to learn them in.

Planetary Formation I: Core Accretion and Migration

College Depth 152 in the knowledge graph I know this Set as goal
152topics build on this
1,081prerequisites beneath it
See this on the map →
Planetary Formation: The Nebular HypothesisProtoplanetary Disk Structure and EvolutionMulti-Planet System Architecture and Orbital Stability AnalysisPlanetary Formation II: Gravitational Instability and Direct Collapse+1 more
planet-formation core-accretion migration

Core Idea

Core accretion is the dominant theory of planetary formation, in which kilometer-sized planetesimals accumulate through collisions to form planetary cores. Planets migrate inward and outward through gravitational interactions with the protoplanetary disk, explaining why giant planets are found at various orbital distances rather than being segregated by their formation distance from the star.

Explainer

You already know that protoplanetary disks are rotating structures of gas and dust surrounding young stars, with temperature and composition varying by distance from the star. The core accretion model explains how the raw material in these disks assembles into planets through a sequence of stages that span millions of years, starting from microscopic dust grains and ending with worlds the size of Jupiter.

The process begins with dust coagulation: micron-sized grains of silicate and ice collide gently in the disk and stick together through electrostatic and surface forces, growing into millimeter- and centimeter-sized aggregates. This early phase is straightforward, but a major theoretical challenge arises at the meter scale — the so-called meter-size barrier. Objects around a meter across experience strong aerodynamic drag from the surrounding gas, causing them to spiral inward toward the star on timescales of only a few hundred years, faster than they can grow by further collisions. The leading solution involves streaming instabilities, where particles concentrate into dense clumps through collective interactions with the gas, bypassing the problematic size range and jumping directly to kilometer-scale planetesimals.

Once planetesimals reach roughly a kilometer across, gravity takes over as the dominant growth mechanism. Larger bodies have stronger gravitational fields, so they sweep up more material than smaller ones — a process called runaway accretion. The biggest planetesimals grow fastest, quickly outpacing their neighbors. Eventually, a few dominant bodies — planetary embryos — have consumed or scattered most of the nearby material, and growth transitions to oligarchic accretion, where a handful of similarly sized embryos compete for the remaining planetesimals in their feeding zones. For rocky planets like Earth, this oligarchic stage produces Mars-sized embryos that later undergo giant impacts over tens of millions of years, gradually assembling into the final terrestrial planets.

Gas giants require an additional step. Beyond the snow line — the distance from the star where water ice condenses, roughly 3 AU in our solar system — solid cores can grow larger because ice adds to the available solid material. When a core reaches approximately 10 Earth masses (the critical core mass), its gravity becomes strong enough to capture and retain hydrogen and helium gas from the surrounding disk. Gas accretion begins slowly but accelerates dramatically in a process called runaway gas accretion, allowing a planet to balloon from a rocky core to a gas giant of hundreds of Earth masses in as little as a hundred thousand years. This must happen before the disk dissipates — typically within 3–10 million years — which sets a tight deadline for giant planet formation.

Planetary migration resolves a puzzle that the basic core accretion model cannot: why hot Jupiters orbit closer to their stars than Mercury orbits the Sun, far inside the snow line where they could not have formed. A forming planet exchanges angular momentum with the gas disk through gravitational torques. Type I migration affects lower-mass planets embedded in the disk and can move them inward (or occasionally outward) over millions of years. Type II migration occurs when a planet grows massive enough to open a gap in the disk; it then migrates locked to the disk's own viscous evolution. Migration explains the wide diversity of observed exoplanet architectures — from hot Jupiters to compact multi-planet systems — as outcomes of the same physical process operating under different disk conditions and timescales.

Practice Questions 5 questions

Prerequisite Chain

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsWork and CirculationLine Integrals of Scalar and Vector FunctionsFundamental Theorem for Line IntegralsConservative Vector FieldsConservative Vector Fields and Potential FunctionsCurl and Divergence of Vector FieldsCurl and DivergenceDivergence TheoremElectric Flux and Divergence TheoremGauss's Law: Integral Form and MeaningSolving Problems with Gauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesFrequency-Dependent Permittivity and DispersionElectromagnetic Waves in Anisotropic MediaBirefringence and DichroismWave Plates: Quarter-Wave and Half-Wave PlatesCircular and Elliptical Polarization ProductionPolarization States: Linear, Circular, and EllipticalLinear Superposition of WavesTwo-Source Interference PatternsPath Difference and Constructive/Destructive InterferenceFringe Spacing in Interference PatternsYoung's Double-Slit Experiment and AnalysisSingle-Slit Diffraction and Diffraction PatternsDiffraction Limit and the Rayleigh CriterionFresnel Zones and Wavefront PropagationFar-Field Diffraction and the Fraunhofer ApproximationDiffraction Gratings and the Grating EquationDiffraction GratingsTelescopes and Observing MethodsStellar Properties: Luminosity, Temperature, and SizePhotometric Magnitude Systems and Color IndicesStellar Spectral ClassificationNebulae and Star FormationPlanetary Formation: The Nebular HypothesisProtoplanetary Disk Structure and EvolutionPlanetary Formation I: Core Accretion and Migration

Longest path: 153 steps · 1081 total prerequisite topics

Prerequisites (2)

Leads To (3)