导线测量闭合差的调整.doc

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1、1.附合导线平差计算点名或点号观测角β左改正数Vβ改正后角值β左方位角α边长D(m)纵坐标增量△X(m)纵坐标x(m)横坐标增量△y(m)横坐标y(m)计算值改正数改正后的值计算值改正数改正后的值A6009.7099665.803149°40′00″203．71-119.197B168°03′24″-10″168°03′14″5806.009785.00137°43′14″236.02-174.62-0.09-174.71+158.78-0.04+158.741145°20′48″-10145°20′38″5631.299943.74103°03′52

2、″189.11-42.75-0.07-42.82+184.22-0.04+184.182216°25′30″-10216°46′26″5588.4710127.92139°50′18″147.62-112.82-0.05-112.87+95.21-0.03+95.18C49°23′56″-1149°02′37″5475.6010223.108°52′55″D5708.7910259.5∑579°13′36″-41572.75-330.19-0.21-330.40+438.21-0.11+438.10角度闭合差及改正数计算∑β左-4×180º=-140º4

3、6′24″αAB-αCD=149°40′00″-8°52′55″=140°47′05″ƒβ=∑β-n×180°+αΑΒ-αCD=+41″ƒβ容=±40√n=±40√4=±1'20″改正数V1=ƒβ/n=-41″/4=-10″2坐标增量闭合差之计算∑△x=-330.19XC-XB=5475.6-5806.00=-330.4ƒx=-330.19—330.40=0.21∑△y=+438.21Yc-YB=10223.1-9785.0=438.10ƒy=∑△y–(Yc-YB)=+0.11导线相对闭合差之计算ƒD=√ƒx2+ƒy2=√0.212+0.112=0.24

4、K=ƒD/∑D=0.24/572.75≈1/2380＜1/2000草图1.闭合导线平差计算点名或点号观测角β左改正数Vβ改正后角值β左方位角α边长D(m)纵坐标增量△X(m)纵坐标x(m)横坐标增量△y(m)横坐标y(m)计算值改正数改正后的值计算值改正数改正后的值AD×cosα5609.26D×sinα7130.38150°48′12″125.82-109.83-0.03-109.86+61.38-0.04+61.34B98°39′36″+1298°39′48″5499.407191.7269°28′00″162.92+57.14-0.03+57.1

5、1+152.57-0.04+152.53C88°36′08″+1188°36′19″5556.517314.25338°04′19″136.85+126.95-0.03+126.92-51.11-0.04-51.15D87°25′30″+1187°25′41″5683.437293.10245°30′00″178.77-74.13-0.04-74.17-162.67-0.05-162.72A85°18′00″+1285°18′12″5609.267130.38150°48′12″B(98°39′36″)∑359°59′14″+46″360°604.36+

6、0.13-0.130+0.17-0.170角度闭合差及改正数计算∑β理=180º×(4-2)=360ºƒβ=∑β测-∑β理=359°59′14″-360°=-46″ƒβ容=±40″√n=±40″√4=±1′20″改正数V1=ƒβ/n=-46″/4=+11.5″ƒβ=∑β测–(n-2).180n—闭合导结的转折角数∑β测—观测角的总和坐标增量闭合差之计算∑△x理=0∑△y理=0ƒx=+0.13ƒy=+0.17V△xAB=-(0.13/604)×125.82=-0.03V△yAB=-(0.17/604)×125.82=-0.04坐标增量调整的原则是将它们以相

7、反的符号按与边长成正比例改正到各边的坐标增量中导线相对闭合差之计算ƒD=√ƒx2+ƒy2=√0.132+0.172=0.214K=ƒD/∑D=0.214/604.36≈1/2800＜1/2000草图2007新规范