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a
ʴ°
7°
f
1
O
1
O
O
O
2
f
f
2
Moon
Moon
Earth
Earth
b
5 m pendulum
5 m pendulum
monitor
monitor
5 cm
mirror
5 cm
mirror
laser
laser
(a)
Fig. 9.13
The largest possible shift of pendulum at the equator is magnified to 152.2 m
The force in the reaction torque has a ratio,
a
1
/
g
, with the gravitational force at
the Earth surface:
r
2
m
2
2Gm
1
R
m
=d
3
sin ı
ı
a
1
g
D
r
1
m
1
Gm
1
=R
e
2
(9.33)
d sin ı
ı
D
R
m
sin 7
ı
(9.34)
The ratio
a
1
/
g
is calculated as 1.522
10
10
to give a 0.3043 nm shift with
1 m pendulum for 58 % of Moon face. A relation
m
1
/
m
2
D
m
1
/
m
2
is used.
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