Optimization techniques: with applications to aerospace systems
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Acad. Press
1962 [erschienen] 1965
|
| Ausgabe: | 3. print. |
| Schriftenreihe: | Mathematics in science and engineering
5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 453 S. Ill. |
Internformat
MARC
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| 245 | 1 | 0 | |a Optimization techniques |b with applications to aerospace systems |c ed. by George Leitmann |
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| 264 | 1 | |a New York [u.a.] |b Acad. Press |c 1962 [erschienen] 1965 | |
| 300 | |a XIII, 453 S. |b Ill. | ||
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Datensatz im Suchindex
| _version_ | 1804116913537679360 |
|---|---|
| adam_text | Contents
Foreword vii
1 Theory of Maxima and Minima
THEODORE N. EDELBATJM
1.1 Necessary Conditions for Maxima or Minima 2
1.2 Sufficient Conditions for Maxima or Minima 4
1.3 Subsidiary Conditions 7
1.4 Application to Integrals 12
1.5 Remarks on Practical Application 16
1.6 Optimization of Low Thrust Trajectories and Propulsion Systems for a 24
Hour Equatorial Satellite 19
References 31
2 Direct Methods
FRANK D. FAULKNER
2.0 Introduction and Summary 33
2.1 A Routine for Determining Some Optimum Trajectories 35
2.2 Elementary Graphic Solution 52
2.3 Optimum Thrust Programming along a Given Curve 59
References 65
3 Extremization of Linear Integrals by Green s Theorem
ANGELO MIELE
3.1 Introduction 69
3.2 Linear Problem 70
3.3 Linear Isoperimetric Problem 76
3.4 Linear Problems in Flight Mechanics 77
3.5 Optimum Burning Program for a Short Range, Nonlifting Missile 79
3.6 Optimum Drag Modulation Program for the Re Entry of a Variable
Geometry Ballistic Missile 88
References 98
ix
x Contents
4 The Calculus of Variations in Applied Aerodynamics and Flight Mechanics
ANGELO MIELE
4.1 Introduction 100
4.2 The Problem of Bolza 100
4.3 Transformation of Variational Problems 109
4.4 The Calculus of Variations in Applied Aerodynamics 112
4.5 Bodies of Revolution Having Minimum Pressure Drag in Newtonian Flow . 113
4.6 Wings Having Minimum Pressure Drag in Linearized Supersonic Flow . . . 120
4.7 The Calculus of Variations in Flight Mechanics 126
4.8 Optimum Trajectories for Rocket Flight in a Vacuum 127
4.9 Optimum Trajectories for Rocket Flight in a Resisting Medium 143
4.10 Conclusions 163
References 163
5 Variational Problems with Bounded Control Variables
G. LEITMANN
5.0 Introduction 172
5.1 Statement of the Problem 172
5.2 Mass Flow Rate Limited Systems 174
5.3 Propulsive Power Limited Systems 182
5.4 Thrust Acceleration Limited Systems 186
5.5 Conclusions 192
5.6 Example 193
Nomenclature 200
Appendix 201
References 203
6 Methods of Gradients
HENRY J. KEIXEY
6.0 Introduction 206
6.1 Gradient Technique in Ordinary Minimum Problems 206
6.2 Gradient Technique in Flight Path Optimization Problems 216
6.3 Solar Sailing Example 233
6.4 Low Thrust Example 241
6.5 Remarks on the Relative Merits of Various Computational Techniques . . . 246
6.6 A Successive Approximation Scheme Employing the Min Operation .... 248
Appendix A 251
References 252
Contents xi
7 Pontryagin Maximum Principle
RICHARD E. KOPP
7.0 Introduction 255
7.1 An Introduction to the Pontryagin Maximum Principle 256
7.2 The Adjoint System and the Pontryagin Maximum Principle 262
7.3 The Calculus of Variations and the Pontryagin Maximum Principle .... 264
7.4 Dynamic Programming and the Pontryagin Maximum Principle 271
7.5 Examples 274
References 278
8 On the Determination of Optimal Trajectories Via Dynamic Programming
RICHARD BELLMAN
8.1 Introduction 281
8.2 Dynamic Programming 282
8.3 One Dimensional Problems 282
8.4 Constraints 283
8.5 Constraints—II 283
8.6 Discussion 284
8.7 Two Dimensional Problems 285
8.8 One Dimensional Case 286
8.9 Discussion 288
8.10 Two Dimensional Case 289
8.11 Discussion 290
References 290
9 Computational Considerations for Some Deterministic and Adaptive
Control Processes
ROBERT KALABA
9.1 Introduction 291
9.2 Some Deterministic Control Processes 292
9.3 Adaptive Control Processes 305
References 308
10 General Imbedding Theory
C. M. KASHMAR AND E. L. PETERSON
10.1 Introduction 311
10.2 Problem Formulation 312
10.3 Elimination of Boundary Valuedness 313
xii Contents
10.4 Reduction to Final Value Problem 314
10.5 The Classical Solution 316
10.6 The Dynamic Programming Solution 318
10.7 Summary 321
References 321
11 Impulsive Transfer between Elliptical Orbits
DEREK F. LAWDEN
11.1 Introduction 323
11.2 Impulsive Change in Orbital Elements 324
11.3 Dependence of Impulse on Orbital Elements 328
11.4 Optimal ra Impulse Transfer between Two Terminal Orbits 331
11.5 Optimal Two Impulse Transfer 333
11.6 Optimal Slewing of the Orbital Axis 334
11.7 Transfer between Orbits Whose Axes Are Aligned 341
11.8 Appendix 349
References 350
12 The Optimum Spacing of Corrective Thrusts in Interplanetary Navigation
JOHN BREAKWELL
12.1 Discussion and Results 353
12.2 Development of the Optimum Spacing in Example 1 363
12.3 Development of the Optimum Spacing in Example 2 365
12.4 The Covariance of D, and Dn+i in the Case of Frequent Observations Since
Launch; One Dimensional Model 369
12.5 Estimation of D from Frequent Position Measurements since the Last Correc¬
tion; One Dimensional Model 371
Nomenclature 373
General References 375
13 Propulsive Efficiency of Rockets
G. LEITMANN
13.0 Introduction 377
13.1 Propulsive Efficiency—Point Function 378
13.2 Propulsive Efficiency—Interval Function 381
Nomenclature 387
References 387
Contents xiii
14 Some Topics in Nuclear Rocket Optimization
R. W. BUSSARD
14.1 Introduction and Definition . 389
14.2 High Acceleration Flight 396
14.3 Low Acceleration Flight 408
14.4 Heat Exchanger Propulsion Systems 428
14.5 Nuclear/Electric Propulsion Systems 440
References 445
Author Index 449
Subject Index 452
|
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| genre_facet | Aufsatzsammlung Aufsatzsammlung - Optimale Kontrolle Aufsatzsammlung - Optimierung |
| id | DE-604.BV002507661 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:46:04Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001615259 |
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| physical | XIII, 453 S. Ill. |
| publishDate | 1962 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | Acad. Press |
| record_format | marc |
| series | Mathematics in science and engineering |
| series2 | Mathematics in science and engineering |
| spelling | Optimization techniques with applications to aerospace systems ed. by George Leitmann 3. print. New York [u.a.] Acad. Press 1962 [erschienen] 1965 XIII, 453 S. Ill. txt rdacontent n rdamedia nc rdacarrier Mathematics in science and engineering 5 Raumfahrt (DE-588)4048574-2 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Aufsatzsammlung - Optimale Kontrolle Aufsatzsammlung - Optimierung Raumfahrt (DE-588)4048574-2 s Optimierung (DE-588)4043664-0 s DE-604 Leitmann, George Sonstige oth Mathematics in science and engineering 5 (DE-604)BV000001196 5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001615259&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Optimization techniques with applications to aerospace systems Mathematics in science and engineering Raumfahrt (DE-588)4048574-2 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4048574-2 (DE-588)4043664-0 (DE-588)4143413-4 |
| title | Optimization techniques with applications to aerospace systems |
| title_auth | Optimization techniques with applications to aerospace systems |
| title_exact_search | Optimization techniques with applications to aerospace systems |
| title_full | Optimization techniques with applications to aerospace systems ed. by George Leitmann |
| title_fullStr | Optimization techniques with applications to aerospace systems ed. by George Leitmann |
| title_full_unstemmed | Optimization techniques with applications to aerospace systems ed. by George Leitmann |
| title_short | Optimization techniques |
| title_sort | optimization techniques with applications to aerospace systems |
| title_sub | with applications to aerospace systems |
| topic | Raumfahrt (DE-588)4048574-2 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Raumfahrt Optimierung Aufsatzsammlung Aufsatzsammlung - Optimale Kontrolle Aufsatzsammlung - Optimierung |
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