Abstract
- Introduction to Cosmogony
- The Laplace Nebula Theory: Monistic
- Revival of the Laplace Model
- The Roche Limit
- Revival of the Laplace Model
- Jeans' Tidal Theory: Dualistic
- The Jeans Mass
- Objections to Jeans' Tidal Theory
- Further Comments on Jeans' Tidal Theory
- Objections to Jeans' Tidal Theory
- The Jeans Mass
- The Capture Theory
- The Solar Nebula Theory
- The Capture Process
- The Solar Nebula Theory
- Towards a Complete Theory of Planetary Formation
- The Interstellar Medium and Star Formation
- Star-Star Interactions
- Planetary Formation
- Satellite Formation
- Orbital Evolution
- The Terrestrial Planets
- Explained Features of the Solar System
- Star-Star Interactions
- The Interstellar Medium and Star Formation
- Motivation
- The Kernel and the Smoothing Length
- Variable Smoothing Lengths
- The Kernel and the Smoothing Length
- Constant Number of Neighbours
- Neighbour Search Algorithm
- Constant Number of Neighbours
- Forces
- Hydrodynamical Forces
- General SPH Equations and Derivatives
- Artificial Viscosity
- Gravitational Forces
- Hydrodynamical Forces
- Gravitational Softening
- Consistent Representation of Matter
- Sphere-Sphere Gravitational Softening
- Point-Sphere Gravitational Softening
- Consistent Representation of Matter
- Gravitational Softening
- The Equation of State
- Energy Equations
- Time Integration
- Energy Equations
- Choice of Integrator
- Embedded Improved Euler Scheme
- Time-Step Control
- Embedded Improved Euler Scheme
- Choice of Integrator
- Tree Gravity
- Principles and Methods
- Tree implementation
- Tree Construction
- Tree Storage in Memory
- Centre of Mass Calculation
- Force Calculation
- TreeSPH
- Tree implementation
- Principles and Methods
- Tree Radiation
- Motivation
- Radiative Principles and Assumptions
- Opacity
- A First Idea
- Tree Radiation Method
- Defining the Tree
- Interpolating the Particle Properties to the Tree
- Tree Absorption Properties
- Radiative Energy Transfer Process
- Additional Tree Walking Considerations
- Time integration
- Rate of Transfer Considerations
- Interpolating the Tree Energy to the Particles
- Radiative Principles and Assumptions
- Motivation
- Gravity
- Initial Configuration
- Uniform Grid - Point Mass Force
- Uniform Grid - Softened Force
- Displaced Grid - Softened Force
- Free-Fall curves
- Uniform Grid - Point Mass Force
- Initial Configuration
- Hydrodynamics
- The Structure of Polytropes
- The Oscillation of Polytropes
- The Structure of Polytropes
- Radiation Transport
- Luminosity of an Isolated Sphere
- Radiation Received from a Point Source
- Equilibrium Temperatures of Illuminated Bodies
- Radiation Transport in the Opaque Regime
- Radiation Received from a Point Source
- Luminosity of an Isolated Sphere
- Quasi-Static Collapse of Spherical Bodies
- Low Mass Bodies
- Results
- Larger Mass Bodies
- Results
- Low Mass Bodies
- The Capture Mechanism
- Initial Orbital Components
- Quasi-Static Collapsing Protostar Interactions
- Near Free-Fall Protostar Interactions: Tidal Induced Fragmentation Followed by Capture
- Results
- An Example Encounter: Without Solar Radiation
- An Example Encounter: With Solar Radiation
- Evolution of Protoplanets
- Quasi-Static Collapsing Protostar Interactions
- Initial Orbital Components
- Introduction
- Smoothed Particle Hydrodynamics
- Additional Computational Techniques
- Testing the Code
- Simulating the Capture Theory
- Future Work
- Conclusion
- Smoothed Particle Hydrodynamics
- Particle Insertion Routine During Tree Construction
- Mass and Centre of Mass Calculation via
Tree
Traversal
- Smoothing Length Calculation Routine for Particle
- Density Calculation for Particle
- Force Calculation Routine for Particle
- Tree Pruning via 1 Tree Traversal
- Compact Tree Creation
- Tree Walk for 1 Power Packet
- Mass and Centre of Mass Calculation via
- Free-Fall Derivation
- Point Source Absorption Derivation