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Astronomical Theory of Ice Ages: New Approximations, Solutions and Challenges

by Dr. Vladimir P. Melnikov, Dr. Joseph J. Smulsky

KeyWords: climate, change, orbit, evolution, numerical, solution, 100 Myr, Earth, axis nutation, insolation

Pages: 182
Publisher: Novosibirsk Academic Publishing House
Year: 2009
ISBN: 978-5974701429

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The book is in two languages: Russian on the front and English on the back of each page, 82 pages each.

The theory of orbital climate forcing is revisited with an approach which implies numerical integration of differential equations for the orbital and rotational motions. In the orbital motion problem, the new code is applied to integrate the orbits of eleven material particles of the Solar System (nine planets, the Moon, and the Sun) over a time span of 100 Myr. The accuracy and stability of the method are checked in several tests. The obtained solutions reliably predict that the Solar System remains stable within the integrated interval.

The rotational motion equations are derived from the law of angular momentum change and are integrated separately for the actions of each planet and the Sun on the Earth over 10 kyr. An-other way to solve the problem is to simulate the Earth rotation in a compound model in which 110 kyr integration is used to explore the motion of model bodies and the evolution of precession and nutation of the model spin axis. The modeling results agree with other reported solutions and with approximations of observation data.

Objectives of future work are outlined according to problems that remain unresolved in the astronomical theory of climate change. The book is intended for those interested in climate forcing issues, including university and high school students.

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