운동시뮬레이션 제5주
The Solar System
Kepler’s Laws
The inverse-square law and the stability of planetary orbits
Precession of the perihelion of mercury
The three-body problem and the effect of Jupiter on Earth
Resonances in the solar system: Kirkwood gaps and planetary rings
Chaotic tumbling of Hyperion
Chapter 4 The Solar System
Motions on the surface of the Earth contains always friction, air drag
Planetary system is an ideal frictionless motion
Introduction
Kepler’s Laws
First order equations
Astronomical Units
Evolution equations
Simulation(PlanetApp)
planet Mass(kg) Radius(AU) eccentricity Mercury
Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto
Solar system
Kepler’s Laws
Eccentricity
Circle
Ellipse
Parabola
Hyperbola
Inverse square law and the
stability of a planetary orbits
Initial conditions
Change Force law
Different beta values
Precession of the perihelion of
mercury
Discrepancy with observation
Initial condition for mercury
The Three-body problem
Chaotic motion
Simulation of Hyperion
