內容簡介,目錄,
內容簡介
- 書名相對論在現代導航中的套用（第2版）
- 書號978-7-118-09789-4
- 作者費保俊
- 出版時間2015年1月
- 譯者
- 版次1版1次
- 開本16
- 裝幀精裝
- 出版基金國防科技圖書出版基金
- 頁數256
- 字數300
- 中圖分類TN967.1
- 叢書名
- 定價68.00
本書在2007年初版基礎上做了全面修訂和擴充，較為系統地敘述了相對論及其在現代導航中的套用。前3章簡要介紹狹義和廣義相對論的基本原理，著重闡述後牛頓引力理論及其在空間實驗中的相對論效應。後4章分析經典相對論特別是後牛頓引力理論在衛星導航、脈衝星導航以及空間慣性導航中的套用，還介紹了相對論定位系統的基本原理及其套用前景。
本書適合於理工科大專院校和科研機構的本科生和研究生閱讀，也可供有關導航、測繪、空間技術和相對論等領域的科研人員和教師參考。 The book made a completely revised and expanded on the basis of the first edition,more systematic account of the theory of relativity and its application in modern navigation.The first three chapters briefly introduces the basic principles of special and general relativity,postNewtonian gravitational theory and relativistic effects in space experiment.After four chapters analyze classical relativity and postNewtonian gravitational theory especially in satellite navigation,pulsarbased navigation and inertial navigation in space,but also introduces the basic principles of relativistic positioning system and its application prospects. This book is suitable for undergraduate and graduate students in science and engineering universities and research institutions to read,also available to researchers and teachers of the navigation,mapping,space technology,relativity and other areas.
目錄
CONTENTS
Chapter 1The Foundation of Special Relativity1
1.1Basis Principle of Special Relativity1
1.1.1Basis Principle and Invariance of Spacetime
Interval1
1.1.2Proper Lorentz Transformation and Concept of
Spacetime3
1.1.3Causality and Principle of Limiting Light Speed6
1.24Dimension Minkowski Space8
1.2.1Geometrical Structure of Minkowski Space8
1.2.2Metric and Coordinates Transformation of Minkowski
Space11
1.2.3Tensor Analysis in Minkowski Space13
1.3Special Relativistic Mechanics16
1.3.14D Displacement, Velocity and Acceleration16
1.3.24D Momentum and Motion Equation18
1.3.3Ackeret Formula for the Highspeed Rocket20
1.3.44D EnergyMomentum Tensor21
1.3.54D Spin Vector and Angular Momentum24
1.4Frequency Shift and Aberration of Light Wave27
1.4.1Invariance of Phase and Equation of Wave Front27
1.4.2Doppler Frequency Shift Effect29
1.4.3Measurement Principle of Doppler Count31
1.4.4Aberration Effect of Light33
References35
1.1Basis Principle of Special Relativity1
1.1.1Basis Principle and Invariance of Spacetime
Interval1
1.1.2Proper Lorentz Transformation and Concept of
Spacetime3
1.1.3Causality and Principle of Limiting Light Speed6
1.24Dimension Minkowski Space8
1.2.1Geometrical Structure of Minkowski Space8
1.2.2Metric and Coordinates Transformation of Minkowski
Space11
1.2.3Tensor Analysis in Minkowski Space13
1.3Special Relativistic Mechanics16
1.3.14D Displacement, Velocity and Acceleration16
1.3.24D Momentum and Motion Equation18
1.3.3Ackeret Formula for the Highspeed Rocket20
1.3.44D EnergyMomentum Tensor21
1.3.54D Spin Vector and Angular Momentum24
1.4Frequency Shift and Aberration of Light Wave27
1.4.1Invariance of Phase and Equation of Wave Front27
1.4.2Doppler Frequency Shift Effect29
1.4.3Measurement Principle of Doppler Count31
1.4.4Aberration Effect of Light33
References35
Chapter 2The Foundation of General Relativity36
2.1Basis Principle and Foundations of Geometry36
2.1.1Newtons Gravitational Theory and Its Crisis36
2.1.2Principle of General Relativity and Equivalence38
2.1.3General Invariance of Spacetime Interval41
2.1.4Basic Concepts of Riemannian Geometry44
2.1.5Mechanics in PseudoRiemannian Spacetime50
2.2Gravitational Field around Spherically Symmetric Celestial
Body51
2.2.1Einsteins Equation of Gravitational Field51
2.2.2Schwarzschild Metric and Newtonian Approximation54
2.2.3Kerr Metric and Newtonian Approximate56
2.3Time and Space in Gravitational Field57
2.3.1Coordinate Time and Proper Time58
2.3.2Experiment of Atomic Clock Flying around Earth61
2.3.3Coordinate Length and Proper Length62
2.3.4The Observables in Gravitational Field64
2.3.5Measurement of Time and Space in Gravitational Field67
2.1Basis Principle and Foundations of Geometry36
2.1.1Newtons Gravitational Theory and Its Crisis36
2.1.2Principle of General Relativity and Equivalence38
2.1.3General Invariance of Spacetime Interval41
2.1.4Basic Concepts of Riemannian Geometry44
2.1.5Mechanics in PseudoRiemannian Spacetime50
2.2Gravitational Field around Spherically Symmetric Celestial
Body51
2.2.1Einsteins Equation of Gravitational Field51
2.2.2Schwarzschild Metric and Newtonian Approximation54
2.2.3Kerr Metric and Newtonian Approximate56
2.3Time and Space in Gravitational Field57
2.3.1Coordinate Time and Proper Time58
2.3.2Experiment of Atomic Clock Flying around Earth61
2.3.3Coordinate Length and Proper Length62
2.3.4The Observables in Gravitational Field64
2.3.5Measurement of Time and Space in Gravitational Field67
2.3.6Measurement of Light Propagation69
2.4Motion Equation and Effect in Gravitational Field71
2.4.1Geodesics Equation in Curved Spacetime71
2.4.2Free Particles Motion Equation and Newtonian
Approximate73
2.4.3Particles Orbit and Precession Effect in Schwarzschild
Field74
2.4.4Photons Orbit and Curve Effect in Schwarzschild
Field77
2.4.5Gravitational Time Relay of Light81
2.4.6Gravitational and Doppler Frequency Shift of Light82
References87
Chapter 3PostNewtonian Gravitational Theory88
3.1PostNewtonian Approximation of Gravitational Field88
3.1.1The Series Statement of Metric and Connection88
3.1.2PostNewtonian Field Equation and Metric91
3.1.3Field Equation and Metric in DSX System93
3.1.4Scalar and Vector Potential around Star in the Solar
System95
3.1.5PostNewtonian Motion Equation of Particle and
Photon98
3.2Time and Space of PostNewtonian Theory100
3.2.1Barycentric and Geocentric Celestial Reference
System101
3.2.2Spacetime Transformation Between BCRS and GCRS103
3.2.3Metric and Barycentric Coordinate Time in BCRS107
3.2.4Metric and Geocentric Coordinate Time in GCRS110
3.2.5Metric and Terrestrial Time in TRS112
3.2.6Relativistic Time Scale and Interrelation114
3.3PostNewtonian Correction of Photons Orbit and Transit
Time116
3.3.11PN Equation of Orbit and Curve Effect116
3.3.22PN Equation of Orbit and Curve Effect117
3.3.32PN Gravitational Time Relay of Light120
3.3.4Sagnac Effect of Transit Time of Light in TRS123
3.4PostNewtonian Correction of Satellites Orbit125
2.4Motion Equation and Effect in Gravitational Field71
2.4.1Geodesics Equation in Curved Spacetime71
2.4.2Free Particles Motion Equation and Newtonian
Approximate73
2.4.3Particles Orbit and Precession Effect in Schwarzschild
Field74
2.4.4Photons Orbit and Curve Effect in Schwarzschild
Field77
2.4.5Gravitational Time Relay of Light81
2.4.6Gravitational and Doppler Frequency Shift of Light82
References87
Chapter 3PostNewtonian Gravitational Theory88
3.1PostNewtonian Approximation of Gravitational Field88
3.1.1The Series Statement of Metric and Connection88
3.1.2PostNewtonian Field Equation and Metric91
3.1.3Field Equation and Metric in DSX System93
3.1.4Scalar and Vector Potential around Star in the Solar
System95
3.1.5PostNewtonian Motion Equation of Particle and
Photon98
3.2Time and Space of PostNewtonian Theory100
3.2.1Barycentric and Geocentric Celestial Reference
System101
3.2.2Spacetime Transformation Between BCRS and GCRS103
3.2.3Metric and Barycentric Coordinate Time in BCRS107
3.2.4Metric and Geocentric Coordinate Time in GCRS110
3.2.5Metric and Terrestrial Time in TRS112
3.2.6Relativistic Time Scale and Interrelation114
3.3PostNewtonian Correction of Photons Orbit and Transit
Time116
3.3.11PN Equation of Orbit and Curve Effect116
3.3.22PN Equation of Orbit and Curve Effect117
3.3.32PN Gravitational Time Relay of Light120
3.3.4Sagnac Effect of Transit Time of Light in TRS123
3.4PostNewtonian Correction of Satellites Orbit125
