- 地球和行星科学应用中高程系统的定义与实现(英文版)
- - 作者：(斯洛伐克)罗伯特·滕泽尔//陈文进
  - 出版社：科学
  - ISBN：9787030825056
  - 出版日期：2025/01/01
  - 页数：237
- 售价：59.6

内容大纲
目前大地水准测量和沿水准线的重力测量实现水准网的国家，实际使用的是赫尔默特正射高度或莫洛登斯基正常高度。如何实现垂直基准统一是目前面临的主要问题。本书对赫尔默特正射高度和莫洛登斯基法向高度之间的转换进行了数值研究。结果表明，赫尔默特对正射高度的定义并不准确。为了减少由于应用赫尔默特正射高度产生的较大误差，提出了一种精确的正射高度计算方法。在精确定义的基础上，给出了正射高度和法向高度之间的关系，并总结了计算这种关系的数值方法。本书将数值方法扩展到行星科学应用中，特别是对地球行星（和卫星）的物理高度的研究，同时对数值结果进行了讨论。
作者介绍
目录
1  Introduction
2  Coordinate Systems and Transformations
3  Gravity Field Quantities
  3.1  Gravity field quantities in the spatial domain
  3.2  Gravity field quantities in the spectral domain
  3.3  Bouguer gravity field
4  Parameters, Data and Models
  4.1  Parameters
  4.2  Input data and models
    4.2.1  Terrestrial datasets
    4.2.2  Planetary and lunar datasets
5  Gravity Maps
  5.1  Terrestrial gravity maps
  5.2  Planetary and lunar gravity maps
6  Theory of Heights
  6.1  Definitions of physical heights
  6.2  Definitions of the geoid height and the height anomaly
  6.3  Approximate definitions of orthometric heights
7  Geoid-to-quasigeoid Separation
  7.1  Geoid-to-quasigeoid separation (accurate definition)
  7.2  Computation in the spatial domain
    7.2.1  Topographic component
    7.2.2  Non-topographic component
  7.3  Computation in the spectral domain
    7.3.1  Topographic term (of uniform density)
    7.3.2  Topographic term (of anomalous density)
    7.3.3  Non-topographic term
    7.3.4  Normal gravity term
    7.3.5  Full spectral expression
  7.4  Approximate definitions of the geoid-to-quasigeoid separation
  7.5  Discussion of numerical aspects
  7.6  Geoid-to-quasigeoid separation offshore
8  Comparison of Methods
  8.1  Numerical analysis and results
    8.1.1  Classical solution
    8.1.2  Sj?berg’s solution
    8.1.3  Accurate solution
  8.2  Comparison of results
    8.2.1  Topographic contribution differences
    8.2.2  Non-topographic contribution differences
    8.2.3  Complete differences
    8.2.4  Contribution of terrain geometry
  8.3  Sensitivity analysis
  8.4  Discussion of results
9  Analysis of Gravity in the Definition of Heights
  9.1  Differences between normal and normal-orthometric heights
  9.2  Numerical analysis and results
    9.2.1  Spectral analysis
    9.2.2  Correlation analysis
  9.3  Discussion of results

10  Effect of Topographic Density of the Geoid
  10.1  Numerical analysis and results
    10.1.1  Individual contributions to the geoid-to-quasigeoid separation
    10.1.2  Choice of the average topographic density
  10.2  Geoid errors due to density uncertainties
  10.3  Discussion of results
11  Geoid-to-quasigeoid Separation Offshore
  11.1  Numerical analysis and results
    11.1.1  Methodology
    11.1.2  Results
  11.2  Error analysis and discussion of results
12  Height Systems in Planetary Geodesy
  12.1  Physical heights for telluric planets (and moons)
  12.2  Numerical realization and results
    12.2.1  Topographic models
    12.2.2  Accurate geoid and orthometric heights
    12.2.3  Approximate geoid and orthometric heights
    12.2.4  Comparison of accurate and approximate results
    12.2.5  Regional study: Martian topographic features
    12.2.6  Regional study: Lunar topographic features
  12.3  Discussion of results
13  Molodensky’s Concept in Planetary Geodesy
  13.1  Methodology
  13.2  Results
  13.3  Discussion of results
14  Concluding Summary
References
Appendix A: Topographic Potential for External Convergence Domain
Appendix B: Anomalous Topographic Potential for External Convergence Domain
Appendix C: Anomalous Topographic Potential for Internal Convergence Domain
Appendix D: Contribution of Uniform Topographic Density
Appendix E: Contribution of Anomalous Lateral Topographic Density
Appendix F: Contribution of Lakes and Glaciers
Appendix G: Sub-geoid Mass Density Contribution
Appendix H: Contribution of Inland Topography (offshore)
Appendix I: Contribution of Polar Glaciers (offshore)
Appendix J: Contribution of Mean Dynamic Topography (offshore)
Appendix K: Contribution of Sub-geoid Masses (offshore)
Appendix L: FFT Technique for Spherical Harmonic Analysis and Synthesis
Appendix M: Inverse Solutions to Boundary Value Problems
Appendix N: Conditionality of Inverse Solutions to Boundary Value Problems
Appendix O: Numerical Analysis of Conditionality of Inverse Solutions
Appendix P: Analytical Solution of Green Integrals
Appendix Q: Weak Singularity of Green Integrals in A Direct Gravity Inversion
Appendix R: Far-zone Contributions to A Direct Gravity Inversion
Appendix S: Molodensky Truncation Coefficients for Green Integrals
Appendix T: Least-squares Estimation Model
Appendix U: Iterative Method of Conjugate Gradients with Pre-conditioning
Appendix V: Regularization

内容大纲

作者介绍

目录

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