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Periodic Orbits - F. R. Moulton's Quest for a New Lunar Theory (Paperback)
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Periodic Orbits - F. R. Moulton's Quest for a New Lunar Theory (Paperback)
Series: History of Mathematics
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Owing to its simple formulation and intractable nature, along with
its application to the lunar theory, the three-body problem has
since it was first studied by Newton in the Principia attracted the
attention of many of the world's most gifted mathematicians and
astronomers. Two of these, Euler and Lagrange, discovered the
problem's first periodic solutions. However, it was not until
Hill's discovery in the late 1870s of the variational orbit that
the importance of the periodic solutions was fully recognized, most
notably by Poincare, but also by others such as Sir George Darwin.
The book begins with a detailed description of the early history of
the three-body problem and its periodic solutions, with chapters
dedicated to the pioneering work of Hill, Poincare, and Darwin.
This is followed by the first in-depth account of the contribution
to the subject by the mathematical astronomer Forest Ray Moulton
and his research students at the University of Chicago. The author
reveals how Moulton's Periodic Orbits, published in 1920 and
running to some 500 pages, arose from Moulton's ambitious goal of
creating an entirely new lunar theory. The methods Moulton
developed in the pursuit of this goal are described and an
examination is made of both the reception of his work and his
legacy for future generations of researchers.
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