【正文】
Unit 13 Geoid and Reference Ellipsoid(大地水準(zhǔn)面和參考橢球)The Earth’s physical surface is a reality upon which the surveying observations are made and points are located.(地球物理表面【或者說(shuō),地球自然表面】是一個(gè)實(shí)體,測(cè)量工作【observation觀測(cè)】在其上進(jìn)行,點(diǎn)位在其上進(jìn)行定位。)However, due to its variable topographic surface and overall shape, it cannot be defined mathematically and so position cannot be puted on its surface.(然而,由于【due to】它的起伏不定的【variable可變的、不定的,這里按中文習(xí)慣譯為起伏不定的】地形表面和總的【overall】形狀,它不能被數(shù)學(xué)的定義,因此點(diǎn)位也不能在其上進(jìn)行計(jì)算。)It is for this reason that in surveys of limited extent, the Earth is treated as flat and plane trigonometry used to define position.(正是因?yàn)檫@個(gè)原因,在有限范圍內(nèi)的測(cè)量中,地球被當(dāng)成平的,并用平面三角學(xué)【trigonometry三角學(xué)】來(lái)確定位置。)If the area under consideration is of limited extent, orthogonal projection of this area onto a plane surface may result in negligible distortion.(如果在考慮中的【under consideration在考慮中的】區(qū)域是有限范圍的,該區(qū)域在一個(gè)平面【plane surface】上的正交投影【orthogonal projection】導(dǎo)致的【直譯為導(dǎo)致,可以意譯為:其結(jié)果】是可以忽略的【negligible可以忽略的】變形【distortion】)Plane surveying techniques could be used to capture field data and plane trigonometry used to pute position.(平面測(cè)量技術(shù)可以被用來(lái)獲取外業(yè)數(shù)據(jù),平面三角學(xué)用來(lái)計(jì)算位置坐標(biāo))However, if the area extended to a large area beyond limitation and treated as a flat surface the effect of the Earth’s curvature will produce unacceptable distortion.(然而,如果該區(qū)域延伸【extend】為一個(gè)大的區(qū)域超過(guò)了限度,把它當(dāng)成一個(gè)平面,地球的曲率影響【effect】將產(chǎn)生不可被接收的【unacceptable】變形)It can also be clearly seen that the use of a plane surface as a reference datum for the elevations of points is totally unacceptable.(同樣可以明顯的【clearly】看到,用平面作點(diǎn)的高程的參考基準(zhǔn)是完全【totally完全地】不可被接受的【不可以的】。)Therefore, to represent horizontal positions and elevations on maps and charts, we need a mathematical model of the Earth which includes a set of numbers for the size and shape of the Earth.(因此,為了在地圖和海圖【chart海圖、圖表】上表示【represent】出水平和高程位置,我們需要一個(gè)地球的數(shù)學(xué)模型,它包括一系列地球大小和形狀的參數(shù)【number這里譯為參數(shù)parameter參數(shù)】)We will define a mathematical surface that approximates to the shape of the area under consideration and then fit and orientate it to the Earth’s surface.(我們將定義一個(gè)數(shù)學(xué)表面接近【approximates接近v.】于被考慮的【under consideration】