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Published in:
Introduction and Motivation Read chapter Read first chapter

2021 | OriginalPaper | Chapter

2. Satellite Orbital Dynamics

Authors : S. Mathavaraj, Radhakant Padhi

Published in: Satellite Formation Flying

Publisher: Springer Singapore

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Abstract

Orbital dynamics is primarily concerned with the motion of orbiting celestial and man-made bodies. A well-studied specific orbital dynamics problem is the classic two-body problem, where two celestial bodies keep moving under the gravitational influence of each other. This chapter presents an overview of the two-body orbital mechanics first. Satellite orbital dynamics is presented next, which is a special case of the two-body problem, where the mass of one celestial body (e.g., the satellite) is negligible as compared to the body around which it orbits. Subsequently, the relative motion of two satellites is presented, which is used to synthesize the guidance schemes for formation flying.

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previous chapter Introduction and Motivation
next chapter Infinite-Time LQR and SDRE for Satellite Formation Flying
Footnotes
1
By measurement of zonal, tesseral, sectorial coefficients [8], it is found that effects of the first term (i.e., second degree) is at least 400 times larger than the rest of the terms for Earth-bound low-orbit satellites. Hence, for such orbits (which is the focus of this book), for all practical purpose, all higher degree terms can be ignored.
 
2
This infinite series representing the gravitational potential function is derived from the oblate Earth model, details of which is beyond the scope of this book. An interested reader, however, can see [9] for more details.
 
3
In case the thrusters are mounted in a slightly different frame to account for practical difficulties, another transformation is necessary, but this factor has been ignored for the sake of simplicity of the discussion.
 
4
In most of the satellites, the chemical propellant based RCS thrusters (known as ‘hot gas thrusters’) are used, even though other options (such as ‘cold-gas thrusters’) are also possible. One can see [14, 15] for more details.
 
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Kazimierczuk, M.K. 2015. Pulse-width modulated DC-DC power converters. Wiley.
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Barr, M. 2001. Pulse width modulation. Embedded Systems Programming 14 (10): 103–104.
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Chen, J. 2007. Determine Buck converter efficiency in PFM mode. Power Electronics Technology 33 (9): 28–33.
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Krovel, T. 2005. Optimal tuning of PWPF modulator for attitude control. Technical Report, Master Thesis, Norwegian University of Science and Technology.
Metadata
Title
Satellite Orbital Dynamics
Authors
S. Mathavaraj
Radhakant Padhi
Copyright Year
2021
Publisher
Springer Singapore
Book
Satellite Formation Flying

Print ISBN: 978-981-15-9630-8

Electronic ISBN: 978-981-15-9631-5

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-981-15-9631-5_2

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