3.2 确定角和边的权
因为测角中误差???10??，测边中误差?Si?2各边的权计算式为: Ps??02(i=1,2,…,9), Si以m为单位，设单位权中误差为?0?10??，则角度观测值的权均为： P?i??0?i2?1Si（mm）
22?S?100?S?100Si(秒2mm2)。
即权阵为：
?10??01??00?00??00?00??00?00??00??00?00P???00?00??00?00??00
??00?00??00?00??00?00??00
i000000100010001000000000000000000000000000000000000000000000000000000ii所以各边的权为,Ps1 =1.4581、Ps2=1.0555、Ps3=1.1831、Ps4=1.1538、Ps5=0.7959、
Ps6=0.8973、 Ps7=1.4861、Ps8=1.4824、Ps9=1.5271。
0000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000010000000000000001000000000000000100000000000000010000000000000001000000000000000100000000000000010000000000000001.45810000000000000001.05550000000000000001.18310000000000000001.15380000000000000000.79590000000000000000.8973000000000000000000000000000000000000000000000000?000?000??000??000?000??000?000??000?000??000??000?000??000?000??000?000??000?? 000?000??.486100?01.48240??001.5271??15
13.3 计算角度和边长误差方程系数和常数项，结果见 表3-2：
表3——2 误差方程系数、常数项 x?p1 y?p1 x?p2 y?p2 x?p3 y?p3 x?p4 y?p4 x?p5 y?p5 x?p6 y?p6 l 1 -2.2550 -1.9898 -5.24 2 3.1822 3.9602 -0.9272 -1.9704 5.17 3 -0.9272 -1.9704 3.2278 1.1550 -2.3006 0.8155 11.01 4 -2.3006 0.8155 4.4625 0.1823 -2.1620 -0.9977 1.69 5 -2.1620 -0.9977 2.9798 -0.4269 -8.02 6 -0.8178 1.4246 0.36 角7 -1.6597 0.8216 13.35 ?i 8 -1.5163 2.6644 3.1760 -3.4860 -31.71 9 0.9272 1.9704 0.5891 -4.6348 -1.5163 2.6644 16.39 10 0.7825 4.0308 -1.6003 -2.6062 7.22 11 -1.6003 -2.6062 4.7049 3.1398 -1.57 12 -3.1046 -0.5336 1.31 13 2.1620 0.9977 -3.7623 -3.6039 1.6003 2.6062 6.3 14 -3.8169 3.4798 2.3006 -0.8155 1.5163 -2.6644 -24.90 1 -0.6616 0.7498 -4.36 2 0.9048 -0.4258 -0.9048 0.4258 22.35 3 -0.3341 -0.9425 0.3341 0.9425 16.29 4 0.4190 -0.9080 -0.4190 0．9080 41.06 边 5 -0.8673 -0.4979 82.92 Si 6 0.4436 0.8962 69.34 7 0.8691 0.4946 -0.8691 -0.4946 5.63 8 0.8522 -0.5233 -0.8522 0.5233 11.31 9 0.1694 -0.9855 4.72 3.4 误差方程的组成和解
16
∴误差方程为：
?p1?1.9898y?p2?5.24V1??2.2550x?p1?3.9602y?p1?0.9272x?p2?1.9704y?p2?5.17 V2?3.1822x?p1?1.9704y?p1?3.2278x?p2?1.1550y?p2?2.3006x?p3?0.8155y?p3?11.01V3??0.9272x
?p2?0.8155y?p2?4.4625x?p3?0.1823y?p3?2.1620x?p4?0.9977y?p4?1.69 V4??2.3006x?p3?0.9977y?p3?2.9798x?p4?0.4269y?p4?8.02V5??2.1620x
V6??0.8178x?p4?1.4246y?p4?0.36 V7??1.6597x?p5?0.8216y?p5?13.35V8??1.5163x?p2?2.6644y?p2?3.1760x?p5?3.4860y?p5?31.71 V9?0.9272x?p1?1.9704y?p1?0.5891x?p2?4.6348y?p2?1.5163x?p5?2.6644y?p5?16.39V10?0.7825x?p4?4.0308y?p4?1.6003x?p6?2.6062y?p6?7.22 V11??1.6003x?p4?2.6062y?p4?4.7049x?p6?3.1398y?p6?1.57 V12??3.1046x?p6?0.5336y?p6?1.31 V13?2.1620x?p3?0.9977y?p3?3.7623x?p4?3.6039y?p4?1.6003x?p6?2.6062y?p6?6.30 V14??3.8168x?p2?3.4798y?p2?2.3006x?p3?0.8155y?p3?1.5163x?p5?2.6644y?p5?24.90V15??0.6616x?p1?0.7498y?p1?4.36 V16?0.9048x?p1?0.4258y?p1?0.9048x?p2?0.4258y?p2?22.35 V17??0.3341x?p2?0.9425y?p2?0.3341x?p3?0.9425y?p3?16.29V18?0.4190x?p3?0.9080y?p3?0.4190x?p4?0.9080y?p4?41.06 V19??0.8673x?p4?0.4979y?p4?82.92 V20?0.4436x?p5?0.8962y?p5?69.34 V21?0.8691x?p2?0.4946y?p2?0.8619x?p3?0.4946y?p3?5.63V22?0.8522x?p4?0.5233y?p4?0.8522x?p6?0.5233y?p6?11.31 V23?0.1694x?p6?0.9855y?p6?4.72
17
T由NBB?BPB,W=BPl
T?18.4332?19.6131??-6.2612??-11.231919.613128.4186-8.4646?6.2612-11.2319-8.4646-19.40282.13314.53318.6151-0.7561-1.60690.00000.00004.97390.00000.00002.2953-0.8136-1.4059-2.98772.47045.24990.00000.00000.00000.000035.9048-15.7688-26.60554.9530-12.619116.386420.1275-31.2722-19.4028-15.768848.1768-2.7982-1.76310.0000?0.0000??0.0000??0.0000???2.1331NTBB?BPB??-0.7561??0.0000?0.0000??-1.4059??2.4704?0.0000??0.0000
4.5331-1.60690.00000.0000-2.98775.24990.00000.0000-26.60558.615140.18251.3089-24.4269-10.88193.4884-6.12973.45985.6346?4.9530-2.79821.30895.3563-6.6818-4.3028-1.23652.17281.59662.6002?? 4.9739-1.7631-24.4269-6.681833.428219.84730.00000.0000-15.8789-16.2082?2.2953-0.8136-10.8819-4.302819.847340.78940.00000.0000-23.8186-28.4864??-12.619120.12753.4884-1.23650.00000.000018.73890-19.51970.00000.0000?16.3864-31.2722-6.12972.17280.00000.0000-19.519728.10950.00000.0000??0.00000.00003.45981.5966-15.8789-23.81860.00000.000038.017023.8544??0.00000.00005.63462.6002-16.2082-28.48640.00000.000023.854425.6167?????xP1??58.8071??y??P?1??x???26.6900??P2??159?y???.1223?P?247.1733??2??x???P?3??17.8239?x???y???19.0277??P3??x??，W?BTPl????4?106.?y???1871? P??P4??14.1235??x?P??5?165.1473???y?????P5?x???283.14478?P?6?25.9929????y?P6???????6.3560??18
??W?0为： 则可得法方程NBBx?18.4332?19.6131??-6.2612??-11.231919.6131?6.2612-11.23192.1331-0.75610.00000.00004.97390.00000.00002.2953-1.4059-2.98772.47045.24990.00000.00000.000028.4186-8.4646-19.40284.5331-1.6069-8.464635.9048-15.7688-26.60554.9530-19.4028-15.768848.1768-12.619116.38648.6151-2.7982-1.7631-0.813620.1275-31.27220.00000.0000?0.0000??0.0000??0.0000??P1??58.8071??x?y?P1??26.6900??????x?P2??159.1223??????y?247.1733P??????2.1331?-0.7561??0.0000?0.0000??-1.4059??2.4704?0.0000??0.0000
4.5331-26.60558.615140.18251.3089-24.4269-10.88193.4884-6.12973.45985.6346??2-1.60694.9530-2.79821.30895.3563-6.6818-4.3028-1.23652.17281.59662.6002??x?P?3??17.8239??y??0.00004.9739-1.7631-24.4269-6.681833.428219.84730.00000.0000-15.8789-16.2082??????P3-?19.0277?0.00002.2953-0.8136-10.8819-4.302819.847340.78940.00000.0000-23.8186-28.4864???x?106.1871?=0 P??4??y????-2.9877-12.619120.12753.4884-1.23650.00000.000018.73890-19.51970.00000.0000??P4??14.1235?5.249916.3864-31.2722-6.12972.17280.00000.0000-19.519728.10950.00000.0000???x?P??5?0.00000.00000.00003.45981.5966-15.8789-23.81860.00000.000038.017023.8544??y????165.1473??P5??283.14478???x????P60.00000.00000.00005.63462.6002-16.2082-28.48640.00000.000023.854425.6167??????25.9929?y?P6??????6.3560??19