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1、Unit14 Datums, Coordinates and Conversions (已知坐標(biāo)轉(zhuǎn)換)A datum is the mathematical model of the Earth we use to calculate the coordinates and elevations on any map , chart, or survey system . Geodetic datum s define the size and shape of the Earth and the origin and orientation of the coordinate systems
2、 used to map the Earth . Hundreds of different datum s have been used to frame position descriptions since the first estimates of the Earths size were made by Aristotle . But all coordinates reference some particular set of numbers for the size and shape of the Earth . For example, the Global Positi
3、oning System (GPS) is based on the World Geodetic System 1984 (WGS-84) . Many countries use their own datums when they make their maps and surveyswhat we call local datums .(基準(zhǔn)是我們用來(lái)計(jì)算任何地圖、海圖或測(cè)量系統(tǒng)的坐標(biāo)和海拔的地球的數(shù)學(xué)模型。大地測(cè)量數(shù)據(jù)定義了地球的大小和形狀,以及用于映射地球的坐標(biāo)系的起源和方向。數(shù)以百計(jì)的不同的數(shù)據(jù)已被用于幀位置描述,因?yàn)榈谝淮喂烙?jì)地球的大小是由亞里士多德。但是所有坐標(biāo)都引用了地球的
4、大小和形狀的一些特定的數(shù)字集。例如,全球定位系統(tǒng)(GPS)是基于世界大地測(cè)量系統(tǒng)1984(WGS-84)。許多國(guó)家使用自己的數(shù)據(jù)時(shí),他們使他們的地圖和調(diào)查,我們稱(chēng)之為局部基準(zhǔn)。)Horizontal and Vertical Datums(水平和垂直數(shù)據(jù))In geodesy two types of datums must be considered: a“ Horizontal Datum ”for location ,which for m s the basis for the computations of horizontal control surveys in which th
5、e curvature of the Earth is considered and a“ Vertical Datum ”for elevation or to which elevations are referred . Vertical control networks provide elevations with reference to a surface of constant gravity force called the geoid . Almost all maps and charts use mean sea level (geoid) for elevation
6、. But they might use any of over hundred different horizontal position datums . One example of horizontal datum is a mathematical surface called a reference ellipsoid with which positional information (latitude and longitude) is referenced to . T he coordinates for points in specific geodetic survey
7、s and triangulation networks are computed from certain initial quantities (datums) . Sometimes, a map will have more than one grid on it .Normally,each grid is for a different datum .(在大地測(cè)量中的兩種基準(zhǔn)必須考慮:“水平面”位置,為M S為基礎(chǔ),計(jì)算平面控制測(cè)量中,被認(rèn)為是地球的曲率和“垂直基準(zhǔn)”,海拔高程或被稱(chēng)。垂直控制網(wǎng)絡(luò)提供海拔參考的表面重力稱(chēng)為大地水準(zhǔn)面的恒定重力。幾乎所有的地圖和海圖都使用平均海平面(
8、大地水準(zhǔn)面)進(jìn)行高程測(cè)量。但他們可能使用任何超過(guò)百種不同的水平位置的基準(zhǔn)。一個(gè)例子的水平基準(zhǔn)是一個(gè)數(shù)學(xué)表面稱(chēng)為參考橢球與位置信息(緯度和經(jīng)度)是參照。他在特定的大地測(cè)量坐標(biāo)點(diǎn)和三角網(wǎng)是由一定的初始量計(jì)算(基準(zhǔn))。有時(shí),地圖上會(huì)有一個(gè)以上的網(wǎng)格,通常每個(gè)網(wǎng)格都有不同的數(shù)據(jù)。)Horizontal datum and coordinates: A horizontal datum is a surface of constant values that forms the basis for the computations of horizontal control surveys . In a
9、 horizontal datum a reference ellipsoid is used as a mathematical approximation of the shape of the Earth . Five parameters are required to define a horizontal datum : two to specify the dimensions of the ellipsoid, two to specify the location of an initial point ( origin ) , and one to specify the
10、orientation (i .e ., north) of the coordinate system . For exa m ple , the radius and flattening of the ellipsoid selected for the computations to specify the dimensions of the ellipsoid , the longitude and latitude of an initial point ( origin ) to specify the location and an azimuth of a line ( di
11、rection ) to so m e other (triangulation ) station to specify the orientation . A change in any of these quantities affects every point on the datum . For this reason , while positions within a system are directly and accurately reliable, data such as distance and azimuth derived from computations i
12、nvolving geodetic positions on different datum s will be in error in proportion to the difference in the initial quantities .(水平基準(zhǔn)和坐標(biāo):水平基準(zhǔn)面是恒定值的表面,是水平控制測(cè)量計(jì)算的基礎(chǔ)。在水平基準(zhǔn)面中,參考橢球用作地球形狀的數(shù)學(xué)近似。需要五個(gè)參數(shù)來(lái)定義一個(gè)水平基準(zhǔn):兩個(gè)指定的橢球的尺寸,兩個(gè)指定的初始點(diǎn)(原點(diǎn))的位置,和一個(gè)指定的坐標(biāo)系的取向(北,北)。為例子說(shuō)明,半徑和橢球選擇指定橢圓的尺寸計(jì)算壓扁,經(jīng)度和緯度的初始點(diǎn)(原點(diǎn))指定的位置和線(xiàn)的方位(方向),M
13、E其他(三角)站指定的方向。任何數(shù)量的變化都會(huì)影響數(shù)據(jù)的每一點(diǎn)。出于這個(gè)原因,而在一個(gè)系統(tǒng)中的位置是直接和準(zhǔn)確可靠的,如距離和方位的計(jì)算來(lái)自不同的基準(zhǔn)數(shù)據(jù)的大地測(cè)量位置的數(shù)據(jù)將在錯(cuò)誤的比例在初始數(shù)量的差異。)The two main horizontal datums used in the U .S . are the North American Datum of 1927(N AD27) and the North American Datum of 1983 (NAD83) . In 1986 , NAD83 replaced NAD27 because the latter was
14、found to be not accurate enough to support modern positioning activities that occur in highly accurate electronic measurement system s and satellitebased positioning system s . NAD83 is an earth-centered datum and relies on an ellipsoid (and other constants) of the Geodetic Reference System of 1980
15、( G RS80 ) . It is important to note that GPS position calculations are based on the WGS84 datum ( World Geodetic System of 1984 ) , which for all practical purposes is identical to GRS80 . In China , Xian Geodetic Coordinate System 1980 is used as a horizontal datum in which the initial point ( ori
16、gin ) is in Shanxi Province .(兩主水平基準(zhǔn)用于U。S。1927是北美基準(zhǔn)(N ad27)和1983的北美基準(zhǔn)(NAD83)。1986、NAD83取代NAD27因?yàn)楹笳弑徽J(rèn)為是不夠準(zhǔn)確的支持現(xiàn)代定位活動(dòng)發(fā)生在高度精確的電子測(cè)量系統(tǒng)和衛(wèi)星定位系統(tǒng)。是以地球?yàn)橹行牡腘AD83基準(zhǔn)和依賴(lài)于一個(gè)橢球(和其他常數(shù))1980的大地測(cè)量參考系統(tǒng)(G RS80)。需要注意的是,GPS位置的計(jì)算是基于WGS84基準(zhǔn)重要(1984世界大地坐標(biāo)系統(tǒng)),這對(duì)于所有的實(shí)際目的是相同的GRS80。在中國(guó),1980西安坐標(biāo)系作為水平基準(zhǔn)的起始點(diǎn)(原點(diǎn))是山西。)Vertical datum an
17、d heights: The zero surface , to which elevations or heights are referred ,is called a vertical datum . From previous text we know the geoid is an equipotential surface of the Earth gravity field that most closely approximates the mean sea surface . At everypoint the geoid surface is perpendicular t
18、o the local plumb line . It is therefore a natural reference for heights measured along the plumb line . Heights referred to the geoid are called orthometric heights , which stand in contrast to geodetic (ellipsoidal) heights, which refer to the ellipsoid . Because we cannot directly see the geoid s
19、urface, we cannot actually measure the heights above or below the geoid surface . We must infer where this surface is by making gravity measurements and by modeling it mathematically . For practical purposes , we assume that at the coastline the geoid and the MSL surfaces are essentially the same .
20、Nevertheless, as we move inland we measure heights relative to the zero height at the coast, which in effect means relative to MSL . Therefore w e use mean sea level as a plane upon which w e can reference or describe the heights of features on , above or below the ground .(垂直基準(zhǔn)面和高程:被稱(chēng)為高程或高程的零曲面稱(chēng)為垂直
21、基準(zhǔn)面。從前面的文本中我們知道,大地水準(zhǔn)面是地球重力場(chǎng)的一個(gè)等位面,與平均海平面最接近。在每一個(gè)點(diǎn)的大地水準(zhǔn)面垂直于當(dāng)?shù)劂U垂線(xiàn)。因此,它是沿著垂線(xiàn)測(cè)量高度的自然基準(zhǔn)。高度稱(chēng)為大地水準(zhǔn)面稱(chēng)為正高高地站在相反,大地(橢球)的高度,并參考橢球。因?yàn)槲覀儾荒苤苯涌吹酱蟮厮疁?zhǔn)面,所以我們不能實(shí)際測(cè)量大地水準(zhǔn)面上面或下面的高度。我們必須通過(guò)重力測(cè)量和數(shù)學(xué)建模來(lái)推斷這個(gè)表面的位置。為了實(shí)用的目的,我們假設(shè)在海岸線(xiàn)的大地水準(zhǔn)面和MSL的表面基本上是相同的。然而,當(dāng)我們搬到內(nèi)陸我們測(cè)量的高度相對(duì)于零高度在海岸,這意味著相對(duì)于MSL。因此,使用平均海平面作為一個(gè)平面上,可以參考或描述的高度,上面或下面的地面。)E
22、levations are not required for most parcel mapping applications . However, since GPS is a 3D ( actually 4D ) measuring device, elevations are available for every point . As mentioned earlier, the GPS-derived elevation refers to the ellipsoid ( ellipsoidal height) , not the mean sea level (orthometri
23、c height) .(大多數(shù)包裹映射應(yīng)用程序不需要海拔。然而,由于GPS是一個(gè)三維(實(shí)際上4D)測(cè)量裝置,海拔可用于每一點(diǎn)。如前所述,得出的高程GPS指橢球(大地高),不是平均海平面(正高)。)Conversions(轉(zhuǎn)換)A coordinate conversion or transformation is the process of bringing a coordinate fro m one defined coordinate system ( or zone) into another through a series of algorithms based on the l
24、atitude/ longitude position of the point . Coordinate systems based on the same datum retain a perfect mathematical relationship , allowing coordinate values to be precisely transformed between them .(坐標(biāo)轉(zhuǎn)換或轉(zhuǎn)換是將一個(gè)定義坐標(biāo)系(或區(qū)域)的坐標(biāo)通過(guò)一系列基于緯度/長(zhǎng)度的算法引入到另一個(gè)坐標(biāo)系中的過(guò)程 點(diǎn)的位置度。基于同一基準(zhǔn)的坐標(biāo)系保留一個(gè)完美的數(shù)學(xué)關(guān)系,使坐標(biāo)值在它們之間精確地轉(zhuǎn)換。)Bu
25、t the coordinates for a point on the Earths surface in one datum will not match the coordinates from another datum for that same point . The differences occur because of the different ellipsoids used and the probability that the centers of each datums ellipsoid is oriented differently with respect t
26、o the Earths center . A grid shift exists between datum s because each datum has a different origin .(但是在一個(gè)基準(zhǔn)面上,地球表面上某個(gè)點(diǎn)的坐標(biāo)與另一個(gè)基準(zhǔn)點(diǎn)的坐標(biāo)不匹配。差異時(shí),因?yàn)椴煌臋E球我們 和每個(gè)基準(zhǔn)橢球的中心相對(duì)于地球中心的方向不同的概率?;鶞?zhǔn)面之間存在網(wǎng)格偏移,因?yàn)槊總€(gè)數(shù)據(jù)具有不同的 聯(lián)發(fā)。)A datum conversion is the process of bringing coordinate values referenced to one defined datum
27、 into another datum system s . Complete datum conversion is based on seven parameter transformations that include three translation parameters, three rotation parameters and a scale parameter . Simple three parameter conversion between latitude, longitude, and height in different datums can be accom
28、plished by conversion through Earth- Centered , Earth Fixed XYZ Cartesian coordinates in one reference datum and three origin offsets that approximate differences in rotation , translation and scale .(基準(zhǔn)轉(zhuǎn)換是將基準(zhǔn)數(shù)據(jù)的坐標(biāo)值轉(zhuǎn)換為另一基準(zhǔn)系統(tǒng)的過(guò)程。完整的基準(zhǔn)轉(zhuǎn)換是基于七參數(shù)變換 包括三個(gè)平移參數(shù),三個(gè)旋轉(zhuǎn)參數(shù)和一個(gè)刻度參數(shù)。簡(jiǎn)單的三參數(shù)轉(zhuǎn)換之間的緯度,經(jīng)度,和在不同的基準(zhǔn)高度可以完成 通過(guò)
29、轉(zhuǎn)換地球?yàn)橹行?,地球固定XYZ笛卡爾坐標(biāo)在一個(gè)基準(zhǔn)基準(zhǔn)和三原點(diǎn)偏移的近似差異,旋轉(zhuǎn),平移和規(guī)模。)Unit15 Map Projection(投影地圖)Map projections are attempts to portray the surface of the Earth or a portion of the Earth on a flat surface . Some distortions of conformality , distance , direction , scale, and area always result from this process . Some
30、projections minimize distortions in some of these properties at the expense of maximizing errors in others . So m e projections are attempts to only mode rately distort all of these properties . No projection can be simultaneously conformal and area-preserving .(地圖投影是在平面上描繪地球或部分地球表面的投影。保形、距離、方向、規(guī)模和地
31、區(qū)總是有些扭曲,結(jié)果F 只讀此過(guò)程。一些預(yù)測(cè)最大限度地減少這些屬性的扭曲,犧牲最大限度地在別人的錯(cuò)誤。所以我的預(yù)測(cè)是試圖模式地歪曲一切 這些屬性。沒(méi)有投影可以同時(shí)保形和保面積。)Conformality: When the scale of a map at any point on the map is the same in any direction, the projection is conformal . Meridians (lines of longitude) and parallels (lines of latitude) intersect at right angle
32、s . Shape is preserved locally on conformal maps .(協(xié)調(diào):當(dāng)規(guī)模的地圖,在地圖上的任何一點(diǎn)在任何方向上的投影是一樣的,形。經(jīng)線(xiàn)(經(jīng)線(xiàn))和緯線(xiàn)(緯線(xiàn))相交于 直角。保形映射局部保持形狀。)Distance: A map is equidistant when it portrays distances from the center of the projection to any other place on the map .(距離:當(dāng)?shù)貓D描繪從投影中心到地圖上任何其他位置的距離時(shí),地圖是等距的。)Direction: A map prese
33、rves direction when azimuths ( angles fro m a point on a line to another point) are portrayed correctly in all directions .(方向:地圖保留方向時(shí)方位角(角度從線(xiàn)路上的一個(gè)點(diǎn)到另一點(diǎn))被描繪在所有方向正確。)Scale: Scale is the relationship between a distance portrayed on a m ap and the same distance on the Earth .(尺度:尺度是一個(gè)距離的M AP和地球上的相同距離之間
34、的關(guān)系。)Area: When a map portrays areas over the entire map so that all mapped areas have the same proportional relationship to the areas on the Earth that they represent, the m ap is anequal-area map .(區(qū):當(dāng)一個(gè)地圖描繪區(qū)域在整個(gè)地圖上,所有映射的區(qū)域具有相同的比例關(guān)系的地區(qū)在地球,他們表示,M AP是平等的地區(qū)地圖。)Classification of Map Projection(地圖投影分類(lèi))
35、Map projections are generally classified into four general classes according to common properties ( cylindrical vs . conical, conformal vs . area-preserving , etc .) , although such schemes are generally not mutually exclusive .(地圖投影一般分為四個(gè)一般類(lèi),根據(jù)共同的屬性(圓柱比。圓錐,共形對(duì)。區(qū)域保存等),雖然這種方案屬 而不是相互排斥。)Cylindrical pr
36、ojections result from projecting a spherical surface onto a cylinder . A cylindrical projection can be imagined in its simplest for m as a cylinder that has been wrapped around a globe at the equator . If the graticule of latitude and longitude are projected onto the cylinder and the cylinder un w r
37、apped , then a grid-like pattern of straight lines of latitude and longitude would result . T he meridians of longitude would be equally spaced and the parallels of latitude would re main parallel but m ay not appear equally spaced any more . In reality cylindrical map projections are not so simply
38、constructed . The three aspects of the cylindrical projections are as follows:(柱面投影是將球面投影到圓柱體上的結(jié)果。一個(gè)圓柱投影可以想象的最簡(jiǎn)單的M作為一個(gè)圓柱體已被包裹在一個(gè)地球 赤道。如果經(jīng)度和緯度的經(jīng)緯網(wǎng)投影到圓柱和圓柱非W敲擊,然后網(wǎng)格狀的經(jīng)度和緯度的直線(xiàn)模式研究 ULT。經(jīng)度的經(jīng)度是相等的,緯度的平行度是平行的,但不會(huì)出現(xiàn)同樣的距離。實(shí)際上柱面投影是 不是那么簡(jiǎn)單的構(gòu)造。圓柱投影的三個(gè)方面如下:) Tangent or secant to equator is termed regular , or no
39、rmal . When the cylinder is tangent to the sphere contact is along a great circle (the circle formed on the surface of the Earth by a plane passing through the center of the Earth ) . In the secant case, the cylinder touches the sphere along two lines, both s m all circles ( a circle formed on the s
40、urface of the Earth by a plane not passing through the center of the Earth) .(切線(xiàn)或割線(xiàn)到赤道被稱(chēng)為規(guī)則,或正常。當(dāng)氣缸的球體接觸切線(xiàn)沿大圓(圈形成表面的地球的飛機(jī)經(jīng)過(guò) 克通過(guò)地球中心。在割線(xiàn)的情況下,圓柱體沿兩條線(xiàn)接觸球體,兩個(gè)球體都是圓的(一個(gè)在地球表面上形成的圓,而不是通過(guò) 雖然地球的中心)。) Tangent or secant to a meridian is the transverse aspect . W hen the cylinder upon which the sphere is projec
41、ted is at right angles to the poles, the cylinder and resulting projection are transverse .(子午線(xiàn)的切線(xiàn)或割線(xiàn)是橫切面。當(dāng)球體被投射的圓柱體與兩極成直角時(shí),圓柱體和由此產(chǎn)生的投影是橫向的。 ) Tangent or secant to another point on the globe is called oblique . W hen the cylinder is at so m e other, non-orthogonal, angle with respect to the poles, t
42、he cylinder and resulting projection is oblique .(切線(xiàn)或割線(xiàn)到地球上的另一個(gè)點(diǎn)稱(chēng)為斜。當(dāng)氣缸在M E,非正交的,相對(duì)于極角,氣缸和投影是義務(wù) 神游。)Conic projections result fro m projecting a spherical surface onto a cone . When the cone is tangent to the sphere contact is along a small circle . In the secant case , the cone touches the sphere al
43、ong two lines, one a great circle, the other a small circle . In the Conical Projection the graticule is projected onto a cone tangent, or secant, to the globe along any small circle ( usually a mid-latitude parallel) . In the nor m al aspect ( which is oblique for conic projections), parallels are
44、projected as concentric arcs of circles, and meridians are projected as straight lines radiating at uniform angular intervals fro m the apex of the flattened cone .Conic projections are not widely used in mapping because of their relatively small zone of reasonable accuracy . The secant case , which
45、 produces two standard parallels , is more frequently used with conics . Even then , the scale of the map rapidly becomes distorted as distance from the correctly represented standard parallel increases . Because of this problem ,conic projections are best suited for maps of mid-latitude regions, es
46、pecially those elongated in an east- west direction . The United States meets these qualifications and therefore is frequently mapped on conic projections .(球面投影到圓錐上的圓錐投影結(jié)果。當(dāng)圓錐體與球面相切時(shí),接觸點(diǎn)是一個(gè)小圓圈。在割線(xiàn)的情況下,圓錐體接觸球體 翁兩行,一一大圈,另一小圈。在圓錐投影的經(jīng)緯網(wǎng)投影到圓錐切線(xiàn)或割線(xiàn),在小繞地球(通常是一個(gè)mid-l 緯度平行)。在不平行的方面(斜向圓錐投影),平行線(xiàn)被投影為圓的同心圓弧,子午線(xiàn)
47、被投影為直線(xiàn) 在平錐頂點(diǎn)上均勻的角距,由于其相對(duì)合理的精度范圍較小,圓錐映射在制圖中的應(yīng)用并不廣泛。割線(xiàn)的情況下 生產(chǎn)雙標(biāo)準(zhǔn)緯線(xiàn),更頻繁地使用圓錐曲線(xiàn)。即使這樣,地圖的規(guī)模迅速變得扭曲,從正確的表示標(biāo)準(zhǔn)并行增加距離 锿.由于這個(gè)問(wèn)題,圓錐投影最適合中緯度地區(qū)的地圖,特別是那些在東西方向拉長(zhǎng)的地圖。美國(guó)滿(mǎn)足這些資格 ND經(jīng)常被映射在圓錐投影。)Azimuthal ( Planar ) projections result fro m projecting a spherical surface onto a plane .When the plane is tangent to the sphe
48、re contact is at a single point on the surface of the Earth . In the secant case , the plane touches the sphere along a small circle if the plane does not pass through the center of the Earth , when it will touch along a great circle .(方位角(平面)投影是將一個(gè)球面投影到一個(gè)平面上,當(dāng)平面與球面相切時(shí),在地球表面的一個(gè)點(diǎn)上。在美國(guó)證券交易委員會(huì) 如果飛機(jī)不穿過(guò)地
49、球的中心,當(dāng)它沿著一個(gè)大圈旋轉(zhuǎn)時(shí),飛機(jī)就會(huì)沿著一個(gè)小圓圈接觸球體。)Miscellaneous projections include unprojected ones such as rectangular latitude and longitude grids and other examples of that do not fall into the cylindrical, conic, or azimuthal categories .(雜項(xiàng)預(yù)測(cè)包括未計(jì)劃的如矩形經(jīng)緯網(wǎng)格和其他的例子,不落入圓柱形,圓錐形,或方位的類(lèi)別。)Choosing a projection is to d
50、eter mine: Location , Size and Shape . These three things determine where the area to be mapped falls in relation to the distortion pattern of any projection. One“traditional”rule described by Maling ( Maling , 1992 ) says:(選擇一個(gè)投影是阻止我的:位置,大小和形狀。這三件事決定要映射的區(qū)域與任何投影的變形模式有關(guān)。一個(gè)“傳統(tǒng)”的規(guī)則描述的Maling(馬嶺,1992)說(shuō):)
51、A country in the tropics asks for a cylindrical projection .(熱帶地區(qū)的一個(gè)國(guó)家需要一個(gè)圓柱投影。)A country in the temperate zone asks for a conical projection .(溫帶地區(qū)的國(guó)家要求錐形投影。)A polar area asks for an azimuthal projection .(極性區(qū)域要求方位投影。)Implicit in these rules of thu m b is the fact that these global zones m ap into
52、the areas in each projection w here distortion is lo west: Cylindricals are true at the equator and distortion increases toward the poles . Conics are true along so m e parallel so m e w here between the equator and a pole and distortion increases a w ay fro m this standard . Azimuthals are true onl
53、y at their center point, but generally distortion is worst at the edge of the map . For a particular map-use the map may need to be conformal, equal area, or some compromise of these . In some cases, such as navigation , conformality is absolutely necessary . In statistical mapping , equivalence is
54、necessary . T he final projection choice would see m to be a fairly straight forward function of minimized distortion and special properties .(在這四M B規(guī)則隱含的事實(shí)是,這些全球區(qū)M AP為每個(gè)投影在變形區(qū)羅西:cylindricals在赤道向兩極和失真的增加是真實(shí)的。圓錐曲線(xiàn)是真實(shí)的,我所以我在平行的赤道和極和失真增加的方式從這一標(biāo)準(zhǔn)間。azimuthals是真的只有在他們的中心點(diǎn),但一般的失真是最嚴(yán)重的在地圖的邊緣。對(duì)于一個(gè)特定的地圖使用的地圖可
55、能需要是共形,平等的地區(qū),或一些妥協(xié)。在某些情況下,如導(dǎo)航、協(xié)調(diào)是絕對(duì)必要的。在統(tǒng)計(jì)映射中,等價(jià)是必要的。最后的投影選擇將看到M是一個(gè)相當(dāng)直的函數(shù)最小化失真和特殊屬性。)Universal Transverse Mercator (UTM)(通用橫軸墨卡托投影(UTM)Mercator projection was invented in 1569 by Gerardus Mercator ( Flanders) graphically .The properties of this projection are: (1) Conformal . (2) Meridians unequally
56、 spaced , distance increases a way fro m equator directly proportional to increasing scale . (3) Loxodromes or rhumb lines are straight . (4) Used for navigation and regions near equator .(墨卡托投影是在1569發(fā)明的赫拉爾杜斯·墨卡托(佛蘭德)圖形。該投影的特點(diǎn)是:(1)適形。(2)子午線(xiàn)不等距,距離增大的一種方式 赤道與尺度成正比。(3)方位線(xiàn)或恒向線(xiàn)是直的。(4)用于赤道附近的導(dǎo)航和區(qū)域。)T
57、he accuracy of Transverse Mercator projections quickly decreases fro m the central meridian . Therefore , it is strongly recommended to restrict the longitudinal extent of the projected region to + / - 10 degrees fro m the central meridian .(橫墨卡托投影精度迅速下降,從中央子午線(xiàn)。因此,強(qiáng)烈建議限制的投影區(qū)域的縱向范圍為+ / 中央子午線(xiàn)10度)The U
58、TM system applies the Transverse Mercator projection to mapping the world , using 60 pre-defined standard zones to supply parameters . UTM zones are six degrees wide . Each zone exists in a North and South variant .(UTM系統(tǒng)采用墨卡托投影映射的世界,使用60個(gè)預(yù)先定義的標(biāo)準(zhǔn)區(qū)提供參數(shù)。UTM區(qū)六度寬。每個(gè)區(qū)域存在于北境 南方變種。)Unit16 Gravity Measurmen
59、t(重力測(cè)量)As known from daily experience , the most conspicuous force present on the surface of the Earth is gravity . Gravity is the force that pulls things towards the center of the Earth .Gravity affects almost everything in our lives . From clocks to hydroelectric dams, from the tides of the oceans to plant life, gravity plays an important role . Gravity governs our height and shape and keeps us fro m falling off the surface of the Earth .(從日常經(jīng)驗(yàn)中得知,地球表面最顯著
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