Introduction to the Mechanics of the Solar SystemIntroduction to the Mechanics of the Solar System introduces the reader to the mechanics of the solar system and covers topics ranging from the periods of the planets to their flattening and its effects on the orbits of satellites. Kepler's three laws of planetary motion are also discussed, along with the law of gravity; the two-body problem; and perturbations in the motions of the moon and the planets. This book is comprised of four chapters and begins with an analysis of the kinematics of a single planet, focusing on the work of Johannes Kepler, particularly his determination of the orbits o. |
Contents
THE KINEMATICS OF A SINGLE PLANET | 1 |
his first law | 8 |
The computation of the motion of a planet | 18 |
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acceleration analytical angle angular velocity areal velocity assumed assumption axes calculation celestial mechanics centre of mass circular coefficients components consider constant converges corresponding denotes derivative determined differential equations direction of perihelion disturbing force Earth Earth's orbital eccentric anomaly elements ellipse empirical equations of motion error evaluated expression follows formula Fourier series given grad gravitation initial conditions integral introduce Jupiter Kepler motion Kepler's equation known linear m₁ Mars mass points matrix method Minor Planets momentum Moon Neptune node observations obtain orbital plane order of magnitude parameters perihelion periodic function perturbation equations position vector power series quantities r₁ r₂ relative respect right-hand side rotation satellite scalar semi-major axis sidereal period solution solved successive approximations synodic period system of equations t₁ theorem theory undisturbed Uranus variable zero δα Δω