After the launching of the first artificial satellites preceding
interplanetary vehicles, celestial mechanics is no longer a science
of interest confined to a small group of astronomers and
mathematicians; it becomes a special engineering technique. I have
tried to set this book in this new perspective, by severely
limiting the choice of examples from classical celestial mechanics
and by retaining only those useful in calculating the trajectory of
a body in space. The main chapter in this book is the fifth, where
a detailed solution is given of the problem of motion of an
artificial satellite in the Earth's gravitational field, using the
methods of Von Zeipel and of Brouwer. It is shown how Lagrange's
equations can be applied to this problem. The first four chapters
contain proofs of the main results useful for these two methods:
the elliptical solution of the two-body problem and the basic
algebra of celestial mechanics; some theorems of analytical
mechanics; the Delaunay variables and the Lagrangian equations of
variation of elements; the expansion of the disturbing function and
the Bessel functions necessary for this expansion. The last two
chapters are more descriptive in character. In them I have
summarized briefly some of the classical theories of celestial
mechanics, and have tried to show their distinctive characteristics
without going into details.
General
| Imprint: |
Springer
|
| Country of origin: |
Netherlands |
| Series: |
Astrophysics and Space Science Library, 7 |
| Release date: |
April 2012 |
| First published: |
1967 |
| Authors: |
Jean Kovalevsky
|
| Dimensions: |
244 x 170 x 8mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
134 |
| Edition: |
Softcover reprint of the original 1st ed. 1967 |
| ISBN-13: |
978-9401175500 |
| Categories: |
Books >
Science & Mathematics >
Astronomy, space & time >
General
|
| LSN: |
9401175500 |
| Barcode: |
9789401175500 |
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