wrong The dimension of δnsec is that of n3. correct The dimension of δnsec is that of n.
NOTE: This mistake was caused because we have overlooked the fact that the dimension of τ in Eq. (39) is time, which is the inverse of the dimension of mean motion, n.
Numbers in the y-label was slightly off from the tics: From the bottom to the top, it should have been 0, 0.02, 0.04, and 0.06 by each of the y-tic marks (i.e. the maximum is not 0.1, but ~0.08). Corrected version is here.
Data for "Leading" and "Trailing" curves was wrong: i.e. the y-axis of the system coordinate that we assumed when drawing this figure was incorrect. The y-axis was supposed to be oriented toward the lunar orbital direction, but actually it was oriented toward Earth's orbital direction when we made Fig.3(b). Since the Earth-Moon system gets a lot more impacts from its orbital direction due to Earth's orbital motion, the front/rear-side cratering asymmetry becomes naturally strong, which is why we saw the strong asymmetric distribution in Fig.3 (b). Corrected version is here.
The description in the parentheses "(Note the leading/trailing asymmetry evident in Fig. 3)" was inappropriate here, and should be removed from this sentence. Fig. 3 is about asymmetric encounter distribution of asteroids around the Earth, while the description in the parentheses is basically about that of the Moon, making an inconsistency between the figure and the text. By the time of the publication of this paper we actually had completed the calculation about the asymmetric impact distribution on the Moon, but we did not include any figures in this paper as the numerical result was out of the scope of this paper.
wrong correct line 3 t = 4.9339 x 108 t = 4.9339 x 109
wrong correct line 1 t = 4.9829 x 108 t = 4.9829 x 109
wrong correct line 11 ... Fixing ξ ti ... ... Fixing ξ ts ... line 12 ... varying ξ ts ... ... varying ξ ti ...