坐标x=388071927,
y=508789089,R=960m,Ls=120m,求K52100处的中点坐标及
左右各偏125m的坐标。
解:根据已知条件可知:K52100到zh点的曲线长度Li=98385m
=
i
L2i2RLs
180=9838522960120
180=2242564
K52100相对应的偏角:
=
i
i3
=L2i6RLs
180=9838526960120
180=048855
ZH点到K52100的方位角:
a
=a
i
ZHjd
i=183
17089
048855=182
29035
K52100左、右偏125m的方位角:
a左=Ai90=18052432690=180524326
a左=Ai90=18052432690=270524326K52100的直角坐标为:
x
i=Li
L5i40R2
yi=
L3i6RLs
=
6
L2s
=98385
40
98385596021202
983853=13778m960120
=983676m
缓和曲线ZH点到K52100的弦长:Ci=x2y2=9836762137782=98377m所以K52100的中线坐标为:
fYXi=i=YXZZHHCCisici
oasia=i=5308887087910982979988337777s
cos18229035=3879736424i
18229035=5087848263
K52100左偏125m的坐标为:
X左=Xi125cosa左=3879736424125cos180524326=3879611439Y左=Yi125si
a左=5087848263125si
180524326=5087846346
K50200右偏125m的坐标为:
X右=Xi125cosa右=3879736424125cos270524326=3879738341Y右=Yi125si
a右=5087848263125si
270524326=5087723278
fr