This essential book describes the mathematical formulations and subsequent computer simulations required to accurately project the trajectory of spacecraft and rockets in space, using the formalism of optimal control for minimum-time transfer in general elliptic orbit. The material will aid research students in aerospace engineering, as well as practitioners in the field of spaceflight dynamics, in developing simulation software to carry out trade studies useful in vehicle and mission design. It will teach readers to develop flight software for operational applications in autonomous mode, so to actually transfer space vehicles from one orbit to another. The practical, real-life applications discussed will give readers a clear understanding of the mathematics of orbit transfer, allow them to develop their own operational software to fly missions, and to use the contents as a research tool to carry out even more complex analyses.
Author(s): Jean Albert Kéchichian
Series: Cambridge Aerospace Series
Edition: 1
Publisher: Cambridge University Press
Year: 2018
Language: English
Pages: 482
Cover......Page 1
Front Matter
......Page 3
Cambridge Aerospace Series......Page 4
Applied Nonsingular Astrodynamics:
Optimal Low-Thrust Orbit Transfer......Page 5
Copyright
......Page 6
Dedication
......Page 7
Contents
......Page 9
Preface......Page 15
Nomenclature......Page 18
1 The Fundamental Classic Analysis of
Edelbaum, Sackett and Malchow,
with Additional Detailed Derivations
and Extensions......Page 21
2 The Analysis of the Six-Element
Formulation......Page 70
3 Optimal Low-Thrust Rendezvous
Using Equinoctial Orbit Elements......Page 122
4 Optimal Low-Thrust Transfer Using
Variable Bounded Thrust......Page 155
5 Minimum-Time Low-Thrust
Rendezvous and Transfer Using
Epoch Mean Longitude Formulation......Page 174
6 Trajectory Optimization Using
Eccentric Longitude Formulation......Page 200
7 Low-Thrust Trajectory Optimization
Based on Epoch Eccentric Longitude
Formulation......Page 222
8 Mechanics of Trajectory Optimization
Using Nonsingular Variational
Equations in Polar Coordinates......Page 247
9 Trajectory Optimization Using
Nonsingular Orbital Elements and
True Longitude......Page 263
10 The Treatment of the Earth
Oblateness Effect in Trajectory
Optimization in Equinoctial
Coordinates......Page 280
11 Minimum-Time Constant Acceleration
Orbit Transfer with First-Order
Oblateness Effect......Page 301
12 The Streamlined and Complete Set
of the Nonsingular J 2-Perturbed
Dynamic and Adjoint Equations
for Trajectory Optimization in
Terms of Eccentric Longitude......Page 324
13 The Inclusion of the Higher-Order
Harmonics in the Modeling of Optimal
Low-Thrust Orbit Transfer......Page 348
14 Analytic Expansions of Luni-Solar
Gravity Perturbations Along Rotating
Axes for Trajectory Optimization: The
Dynamic System......Page 381
15 Analytic Expansions of Luni-Solar
Gravity Perturbations Along Rotating
Axes for Trajectory Optimization: The
Multipliers System and Simulations......Page 411
16 Fourth-Order Expansions of the
Luni-Solar Gravity Perturbations
along Rotating Axes for Trajectory
Optimization......Page 444
Index......Page 478
