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Foundations of Space Dynamics [Pehme köide]

Series edited by (MIT), Series edited by (University Of Liverpool), Series edited by (BAE Systems, UK), (Indian Institute of Technology, Kanpur, India)
  • Formaat: Paperback / softback, 368 pages, kõrgus x laius x paksus: 244x165x23 mm, kaal: 567 g
  • Sari: Aerospace Series
  • Ilmumisaeg: 31-Dec-2020
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 1119455340
  • ISBN-13: 9781119455349
Teised raamatud teemal:
  • Formaat: Paperback / softback, 368 pages, kõrgus x laius x paksus: 244x165x23 mm, kaal: 567 g
  • Sari: Aerospace Series
  • Ilmumisaeg: 31-Dec-2020
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 1119455340
  • ISBN-13: 9781119455349
Teised raamatud teemal:
"Space dynamics is one of the most important topics in aerospace engineering. It governs the satellites launched into an Earth orbit as well as lunar and interplanetary space exploration missions. The successful launching and operation of all spacecraft requires a good knowledge of space dynamics. Space dynamics can be divided into two broad categories: (i) orbital mechanics, and (ii) attitude dynamics. Orbital mechanics is a study of the translational motion of a spacecraft under the gravitational influence of either one or several large bodies. Attitude dynamics is the study of rotational motion of a rigid spacecraft about its own centre of mass, and includes both kinematical and kinetic description in terms of Euler angles, quaternion, or Rodrigues/modified Rodrigues parameters, and the angular velocity components."--

Foundations of Space Dynamics offers an authoritative text that combines a comprehensive review of both orbital mechanics and dynamics. The authora noted expert on the topiccovers up-to-date topics including: orbital perturbations, Lamberts transfer, formation flying, and gravity-gradient stabilization. The text provides an introduction to space dynamics in its entirety, including important analytical derivations and practical space flight examples. Written in an accessible and concise style, Foundations of Space Dynamics highlights analytical development and rigor, rather than numerical solutions via ready-made computer codes. To enhance learning, the book is filled with helpful tables, figures, exercises, and solved examples. This important book: Covers space dynamics with a systematic and comprehensive approach Designed to be a practical text filled with real-world examples Contains information on the most current applications Includes up-to-date topics from orbital perturbations to gravity-gradient stabilization Offers a deep understanding of space dynamics often lacking in other textbooks Written for undergraduate and graduate students and professionals in aerospace engineering, Foundations of Space Dynamics offers an introduction to the most current information on orbital mechanics and dynamics.
Preface xiii
1 Introduction
1(12)
1.1 Space Flight
1(4)
1.1.1 Atmosphere as Perturbing Environment
1(3)
1.1.2 Gravity as the Governing Force
4(1)
1.1.3 Topics in Space Dynamics
5(1)
1.2 Reference Frames and Time Scales
5(5)
1.2.1 Sidereal Frame
5(3)
1.2.2 Celestial Frame
8(1)
1.2.3 Synodic Frame
8(1)
1.2.4 Julian Date
8(2)
1.3 Classification of Space Missions
10(1)
Exercises
10(1)
References
11(2)
2 Dynamics
13(28)
2.1 Notation and Basics
13(1)
2.2 Plane Kinematics
14(2)
2.3 Newton's Laws
16(1)
2.4 Particle Dynamics
17(3)
2.5 The n-Body Problem
20(4)
2.6 Dynamics of a Body
24(3)
2.7 Gravity Field of a Body
27(14)
2.7.1 Legendre Polynomials
29(2)
2.7.2 Spherical Coordinates
31(3)
2.7.3 Axisymmetric Body
34(3)
2.7.4 Spherical Body with Radially Symmetric Mass Distribution
37(1)
Exercises
37(3)
References
40(1)
3 Keplerian Motion
41(28)
3.1 The Two-Body Problem
41(2)
3.2 Orbital Angular Momentum
43(2)
3.3 Orbital Energy Integral
45(1)
3.4 Orbital Eccentricity
46(3)
3.5 Orbit Equation
49(11)
3.5.7 Elliptic Orbit
53(3)
3.5.2 Parabolic Orbit
56(1)
3.5.3 Hyperbolic Orbit
56(2)
3.5.4 Rectilinear Motion
58(2)
3.6 Orbital Velocity and Flight Path Angle
60(3)
3.7 Perifocal Frame and Lagrange's Coefficients
63(6)
Exercises
65(4)
4 Time In Orbit
69(22)
4.1 Position and Velocity in an Elliptic Orbit
70(5)
4.2 Solution to Kepler's Equation
75(5)
4.2.1 Newton's Method
76(2)
4.2.2 Solution by Bessel Functions
78(2)
4.3 Position and Velocity in a Hyperbolic Orbit
80(4)
4.4 Position and Velocity in a Parabolic Orbit
84(2)
4.5 Universal Variable for Keplerian Motion
86(5)
Exercises
88(1)
References
89(2)
5 Orbital Plane
91(26)
5.1 Rotation Matrix
91(3)
5.2 Euler Axis and Principal Angle
94(3)
5.3 Elementary Rotations and Euler Angles
97(4)
5.4 Euler-Angle Representation of the Orbital Plane
101(10)
5.4.1 Celestial Reference Frame
103(1)
5.4.2 Local-Horizon Frame
104(2)
5.4.3 Classical Euler Angles
106(5)
5.5 Planet-Fixed Coordinate System
111(6)
Exercises
114(3)
6 Orbital Manoeuvres
117(28)
6.1 Single-Impulse Orbital Manoeuvres
119(4)
6.2 Multi-impulse Orbital Transfer
123(10)
6.2.1 Hohmann Transfer
124(3)
6.2.2 Rendezvous in Circular Orbit
127(3)
6.2.3 Outer Bi-elliptic Transfer
130(3)
6.3 Continuous Thrust Manoeuvres
133(12)
6.3.1 Planar Manoeuvres
134(1)
6.3.2 Constant Radial Acceleration from Circular Orbit
135(1)
6.3.3 Constant Circumferential Acceleration from Circular Orbit
136(3)
6.3.4 Constant Tangential Acceleration from Circular Orbit
139(2)
Exercises
141(2)
References
143(2)
7 Relative Motion In Orbit
145(16)
7.1 Hill-Clohessy-Wiltshire Equations
148(3)
7.2 Linear State-Space Model
151(2)
7.3 Impulsive Manoeuvres About a Circular Orbit
153(2)
7.3.1 Orbital Rendezvous
153(2)
7.4 Keplerian Relative Motion
155(6)
Exercises
158(3)
8 Lambert's Problem
161(30)
8.1 Two-Point Orbital Transfer
161(3)
8.1.1 Transfer Triangle and Terminal Velocity Vectors
162(2)
8.2 Elliptic Transfer
164(4)
8.2.1 Locus of the Vacant Focii
165(1)
8.2.2 Minimum-Energy and Minimum-Eccentricity Transfers
166(2)
8.3 Lambert's Theorem
168(9)
8.3.1 Time in Elliptic Transfer
169(4)
8.3.2 Time in Hyperbolic Transfer
173(2)
8.3.3 Time in Parabolic Transfer
175(2)
8.4 Solution to Lambert's Problem
177(14)
8.4.1 Parameter of Transfer Orbit
178(1)
8.4.2 Stumpff Function Method
179(6)
8.4.3 Hypergeometric Function Method
185(3)
Exercises
188(2)
References
190(1)
9 Orbital Perturbations
191(64)
9.1 Perturbing Acceleration
191(1)
9.2 Osculating Orbit
192(2)
9.3 Variation of Parameters
194(5)
9.3.1 Lagrange Brackets
197(2)
9.4 Lagrange Planetary Equations
199(10)
9.5 Gauss Variational Model
209(5)
9.6 Variation of Vectors
214(5)
9.7 Mean Orbital Perturbation
219(1)
9.8 Orbital Perturbation Due to Oblateness
220(7)
9.8.1 Sun-Synchronous Orbits
225(1)
9.8.2 Molniya Orbits
226(1)
9.9 Effects of Atmospheric Drag
227(8)
9.9.1 Life of a Satellite in a Low Circular Orbit
228(1)
9.9.2 Effect on Orbital Angular Momentum
229(2)
9.9.3 Effect on Orbital Eccentricity and Periapsis
231(4)
9.10 Third-Body Perturbation
235(11)
9.10.1 Lunar and Solar Perturbations on an Earth Satellite
238(5)
9.10.2 Sphere of Influence and Conic Patching
243(3)
9.11 Numerical Methods for Perturbed Keplerian Motion
246(9)
9.11.1 Cowell's Method
246(1)
9.11.2 Encke's Method
246(4)
Exercises
250(4)
References
254(1)
10 Three-Body Problem
255(30)
10.1 Equations of Motion
256(1)
10.2 Particular Solutions by Lagrange
257(4)
Equilibrium Solutions in a Rotating Frame
257(2)
Conic Section Solutions
259(2)
10.3 Circular Restricted Three-Body Problem
261(2)
10.3.1 Equations of Motion in the Inertial Frame
261(2)
10.4 Non-dimensional Equations in the Synodic Frame
263(4)
10.5 Lagrangian Points and Stability
267(3)
10.5.1 Stability Analysis
268(2)
10.6 Orbital Energy and Jacobi's Integral
270(6)
10.6.1 Zero-Relative-Speed Contours
272(3)
10.6.2 Tisserand's Criterion
275(1)
10.7 Canonical Formulation
276(2)
10.8 Special Three-Body Trajectories
278(7)
10.8.1 Perturbed Orbits About a Primary
279(1)
10.8.2 Free-Return Trajectories
279(3)
Exercises
282(1)
Reference
283(2)
11 Attitude Dynamics
285(38)
11.1 Euler's Equations of Attitude Kinetics
286(2)
11.2 Attitude Kinematics
288(2)
11.3 Rotational Kinetic Energy
290(2)
11.4 Principal Axes
292(2)
11.5 Torque-Free Rotation of Spacecraft
294(4)
11.5.7 Stability of Rotational States
295(3)
11.6 Precession and Nutation
298(1)
11.7 Semi-Rigid Spacecraft
299(4)
11.7.1 Dual-Spin Stability
301(2)
11.8 Solution to Torque-Free Euler's Equations
303(9)
11.8.1 Axisymmetric Spacecraft
304(3)
11.8.2 Jacobian Elliptic Functions
307(1)
11.5.3 Runge-Kutta Solution
308(4)
11.9 Gravity-Gradient Stabilization
312(11)
Exercises
321(2)
12 Attitude Manoeuvres
323(16)
12.1 Impulsive Manoeuvres with Attitude Thrusters
323(7)
12.1.1 Single-Axis Rotation
324(2)
12.1.2 Rigid Axisymmetric Spin-Stabilized Spacecraft
326(4)
12.1.3 Spin-Stabilized Asymmetric Spacecraft
330(1)
12.2 Attitude Manoeuvres with Rotors
330(9)
12.2.1 Reaction Wheel
332(1)
12.2.2 Control-Moment Gyro
333(1)
12.2.3 Variable-Speed Control-Moment Gyro
334(1)
Exercises
335(2)
References
337(2)
A Numerical Solution of Ordinary Differential Equations
339(6)
A.1 Fixed-Step Runge-Kutta Algorithms
339(1)
A.2 Variable-Step Runge-Kutta Algorithms
340(2)
A.3 Runge-Kutta-Nystrom Algorithms
342(3)
References
343(2)
B Jacobian Elliptic Functions
345(2)
Reference
346(1)
Index 347
Ashish Tewari is a Professor in the Department of Aerospace Engineering at IIT Kanpur. He specializes in flight mechanics and control.