论文标题
行星表面积和其他大地测量措施的非层状重力定义
Non-Ellipsoidal Gravity-Based Definitions of Planetary Surface Area and Other Geodetic Measures
论文作者
论文摘要
本文介绍了不基于基于参考椭圆形的基准的，对行星表面（即表面积，路径长度和平均值或其他统计参数）介绍了新的定义。取而代之的是，所谓的无基质测量措施是基于仅依赖实际行星表面和重力的物理有意义的配方。无基准测量可在任何陆地物体（包括非层状小行星和彗星）上提供普遍标准化的测量。方便地，在相当圆形的行星（例如地球和火星）上，无基准测量的值与参考椭圆形上的相应的大地测量值非常相似。像他们的椭圆形对应物一样，无基于的无基质测量可以量化熟悉的“鸟类视图”或“水平，正常地到抓地力”的感觉。远非纯粹是理论上的，可以使用数字高程模型和重力模型（例如Geoid）在GIS软件中近似无基于的措施。
This paper introduces new definitions of common geodetic measures on a planetary surface (namely surface area, path length, and mean value or other statistical parameters of a surface function) that are not based on a datum such as a reference ellipsoid. Instead, the so-called datumless geodetic measures are based on physically meaningful formulations that rely only on the actual planetary surface and gravity. The datumless measures provide universally standardized measurements on any terrestrial object, including non-ellipsoidal asteroids and comets. Conveniently, on fairly round planets such as Earth and Mars, the datumless measures yield very similar values as corresponding geodetic measures on a reference ellipsoid. Like their ellipsoidal counterparts, the datumless measures quantify area and length in the familiar "bird's-eye view" or "horizontal, normal-to-gravity" sense. Far from being purely theoretical, the datumless measures can be approximated in GIS software using a digital elevation model and a gravity model such as a geoid.
