1
高度差法
已知测者位置为
70 ,70E N
o o
,两颗星为 A(
30 , 70GHA Dec N= - =
o o
),
B(
20 , 40GHA Dec N= - =
o o
)
1、实际位置
由
, 180
360 , 180
GHA Lon GHA Lon
t
GHA Lon GHA Lon
ì
+ + <
=
í
+ - + >
î
o
o o
得两颗星的子午圈角为
40 , 50
A B
t t= =
o o
。
由
arcsin(sin sin cos cos cos )H Lat Dec Lat Dec t= +g g g
得到两颗星的天体高度
76.6 , 50.6
A B
H H= =
o o
选择一个假定位置 AP,得到其经纬度以及天体在 AP 的计算高度 H
c
,由
sin sin sin
arccos
cos cos
c AP
z
c AP
Dec H Lat
A
H Lat
-
=
g
g
得到 AP 的计算方位
z
A
,再由
2
1
1
2
1
1
1
2
cos
sin cos
sin
( ) cos
( ) sin
n
zi
i
n
zi zi
i
n
zi
i
n
i zi
i
n
i zi
i
A A
B A A
C A
D H A
E H A
G A C B
=
=
=
=
=
ì
=
ï
ï
ï
=
ï
ï
ï
=
ï
í
ï
ï
= D
ï
ï
ï
= D
ï
ï
= -
î
å
å
å
å
å
g
g
cos
AP
AP
AP
A E B D
Lon Lon
G Lat
C D B E
Lat Lat
G
-
ì
= +
ï
ï
í
-
ï
= +
ï
î
g g
g
g g
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