《高程系统转换及垂直基准统一的若干问题研究(英文版)》是罗伯特藤泽尔的重要专著。本书内容涉及高程系统定义、垂直基准基本原理和方法、大地水准面和似大地水准面之间的改正、空间域的测算、新西兰垂直基准统一、重力和大地水准面的地形效应等几个方面。本书很好地阐释了利用正高和正常高之间的严格数学关系定义了在空域和频域额的大地水准面和似大地水准面之间的改正。并提出和探讨了提高高程转换精度的可行方法。

1.Introduction

2.Coordinate Systems and Transformations

3.Earth's Gravity Field

4.Theory of Heights

5.Geoid-to-Quasigeoid Correction

  5.1 Relation between geoid and quasigeoid

  5.2 Computation in spatial domain

 5.2.1 Topographic component

 5.2.2 Atmospheric component

 5.2.3 Non-topographic component

  5.3 Computation in spectral domain

 5.3.1 Topographic potential difference ( of reference density)

 5.3.2 Topographic potential difference (of anomalous density)

 5.3.3 No-topography disturbing potential difference

  5.4 Discussion

6.Vertical Datum Unification in New Zealand

  6.1 Geodetic vertical datum in New Zealand--historical background

  6.2 Unification of vertical datum

 6.2.1 LVD offsets

 6.2.2 Levelling network adjustment

 6.2.3 Height conversion

 6.2.4 Analysis of systematic trends

  6.3 Discussion

7.Topographic Effect on Gravity and Geoid

  7.1 Geological setup of New Zealand

  7.2 Rock density model of New Zealand

  7.3 Gravitational effect of topographic density variations

8.Conclusions

References