34
2 Environment Analysis of Lunar Soft Landing Exploration
Diameter of craters D/m
Smooth mare
Upland
Rough mare
Number of craters with diameter greater than D (1/m 2
)
Fig. 2.9 The cumulative distribution of craters on lunar surface
In the smooth mare, the cumulative number of craters N c,s (m
−2 ) larger than a
certain diameter in a unit area (1 m
2 ) can be expressed as
N c,s (D) =
⎧
⎪ ⎪ ⎨
⎪ ⎪ ⎩
10
−1
× D
−2
(D < 40 m)
10
0.602
× D
−3
(40 m ≤ D ≤ 100 m)
10
−2.038
× D
−1.68
(100 m 10 × D
−3
(D > 200 m)
(2.4)
where D is the diameter of crater.
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