The KAM Theory was developed in the 1960s but only in the last
decade has it been applied to Earth orbiting satellites. Physical
state variables of position and velocity are transformed into KAM
Torus variables. The KAM Torus is a geometrical structure similar
to that of a multi-dimensional donut. The Earth satellite's motion
can be described as traversing the surface of this donut. There are
two primary advantages of this transformation: (1) The new
generalized coordinates which are analogous with mean anomaly,
right ascension of the ascending node, and argument of perigee,
increment linearly with time, and (2) Perturbations due to the
Earth's geopotential are already embedded in a given torus to an
arbitrary geopotential order. This study examines methods to
describe perturbed satellite motion near a reference KAM Torus.
General
Imprint: |
Biblioscholar
|
Country of origin: |
United States |
Release date: |
October 2012 |
First published: |
October 2012 |
Authors: |
Luke J Hagen
|
Dimensions: |
246 x 189 x 6mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
114 |
ISBN-13: |
978-1-249-59179-5 |
Categories: |
Books >
Social sciences >
Education >
General
Promotions
|
LSN: |
1-249-59179-1 |
Barcode: |
9781249591795 |
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