Special Issue: Lunar Science with the SELENE “Kaguya” Mission-Prelaunch Studies-
- Article
- Open access
- Published:
Lunar cratering chronology: Statistical fluctuation of crater production frequency and its effect on age determination
Earth, Planets and Space volume 60, pages 265–270 (2008)
Abstract
The crater frequency is often used to determine ages of planetary surfaces. In this study, we evaluate the statistical fluctuation of the crater frequency and its effect on age determination using a Monte Carlo simulation prior to the SELENE (KAGUYA) / Terrain Camera acquiring extensive high-resolution images over the entire Moon. We found that the ages estimated between 2.5 and 3.5 Gyr tend to be too young when there are not enough craters. Age determination for Eratosthenian units is least accurate. The errors defined with 1σ are 0.7 Gyr for units of 100 km2, 0.5 Gyr for units of 1000 km2, and 0.4 Gyr for units of 2500 km2. The maximum error exceeds 20% and is comparable with the error due to the cratering asymmetry.
References
Baldwin, R. B., Relative and absolute ages of individual craters and the rate of infalls on the moon in the post-imbrium period, Icarus, 61, 63–91, 1985.
Basilevsky, A. T., On the evolution rate of small lunar craters, Proc. Lunar Sci. Conf. 7th, 1005–1020, 1976.
Chapman, C. R. and R. R. Haefner, A critique of methods for analysis of the diameter-frequency relation for craters with special application to the moon, J. Geophys. Res., 72, 549–557, 1967.
Crater Analysis Techniques Working Group, Standard techniques for presentation and analysis of crater size-frequency data, Icarus, 37, 467–474, 1979.
Dundas, C. M. and A. S. McEwen, Rays and secondary craters of Tycho, Icarus, 186, 31–40, 2006.
Gault, D. E., Saturation and equilibrium conditions for impact cratering on the lunar surface, Radio Sci., 5, 273–291, 1970.
Greeley, R., 12 colleagues, Galileo imaging observations of lunar maria and related deposites, J. Geophys. Res., 98, 17183–17205, 1993.
Hartmann, W. K., Lunar cratering chronology, Icarus, 13, 299–301, 1970.
Hartmann, W. K., Paleocratering of the Moon: Review of post-Apollo data, Astrophys. Space Sci., 17, 48–64, 1972.
Hartmann, W. K., Does crater “saturation equilibrium” occur in the Solar system, Icarus, 60, 56–74, 1984.
Hartmann, W. K. and R. W. Gaskel, Planetary cratering 2: Studies of saturation equilibrium, Meteorit. Planet. Sci, 32, 109–121, 1997.
Haruyama, J., H. Otake, M. Ohtake, A. Shiraishi, N. Hirata, and T. Matsunaga, LISM (Lunar Imager/SpectroMeter) mission for SELENE project, Lunar Planet. Sci. XXXI, Abstract #1317, 2000.
Haruyama, J., M. Ohtake, N. Hirata, R. Nakamura, and T. Matsunaga, Expected performance of Lunar Imager/SpectroMeter on SELENE, Lunar Planet. Sci. XXXIV, Abstract #1565, 2003.
Haruyama, J., M. Ohtake, T. Matsunaga, and LISM working group, Global high-resolution stereo mapping of the Moon with the SELENE Terrain Camera, Adv. Geosci., 3, 101–108, 2006a.
Haruyama, J., M. Ohtake, T. Matsunaga, T. Morota, A. M. Yoshizawa, and LISM working group, Planned Digital Terrain Model products from SELENE Terrain Camera data, Lunar Planet. Sci. XXXVII, Abstract #1132, 2006b.
Haruyama, J., T. Matsunaga, M. Ohtake, T. Morota, C. Honda, Y. Yokota, M. Torii, Y. Ogawa, and the LISMWorking Group, Global lunar-surface mapping experiment using the Lunar Imager/Spectrometer on SELENE, Earth Planets Space, 60, this issue, 243–255, 2008.
Hiesinger, H., R. Jaumann, G. Neukum, and J. W. Head III, Age of mare basalts on the lunar nearside, J. Geophys. Res., 105, 29239–29275, 2000.
Hiesinger, H., J. W. Head III, U. Wolf, R. Jaumann, and G. Neukum, Ages and stratigraphy of mare basalts in Oceanus Procellarum, Mare Nubium, Mare Cognitum, and Mare Insularum, J. Geophys. Res., 108, doi:10.1029/2002JE001985, 2003.
Hiesinger, H., J. W. Head III, U. Wolf, R. Jaumann, and G. Neukum, New ages for basalts in Mare Fecunditatis based on crater size-frequency measurements, Lunar Planet. Sci. XXXVII, Abstract #1151, 2006.
Hirata, N. and A. M. Nakamura, Secondary craters of Tycho: sizefrequency distributions and estimated fragment size-velocity relationships, J. Geophys. Res., 111, E03005, doi:10.1029/2005JE002484, 2006.
Honda, C., T. Morota, and J. Haruyama, A determination of surface ages of small geologic units on the terrestrial planets and satellites, 36th COSPAR Scientific Assembly, Abstract #2783, 2006.
Honda, C., T. Morota, Y. Yokota, J. Haruyama, M. Ohtake, T. Matsunaga, Y. Ogawa, H. Demura, N. Hirata, A. Iwasaki, S. Kodama, S. Hara, K. Hioki, and LISM working group, Preliminary test of accuracy of Digital Terrain Model derived from SELENE/LISM/TC data, Lunar Planet. Sci. XXXVIII, Abstract #1899, 2007.
Ivanov, B. A., Earth/Moon impact rate comparison: searching constraints for lunar secondary/primary cratering proportion, Icarus, 183, 504–507, 2006.
Kreslavsky, M. A., Statistical characterization of spatial distribution of impact craters: implications to present-day cratering rate on Mars, 7th Inter. Conf. Mars, Abstract #3325, 2007.
Lehmer, D. H., Mathematical methods in large-scale computing units, In Proceedings of 2nd Symposium on Large-Scale Digital Calculating Machinery, Harvard Univ. Press, pp. 141–146, 1951.
Matsunaga, T., M. Ohtake, Y. Hirahara, and J. Haruyama, Development of a visible and near infrared spectrometer for Selenological and Engineering Explorer (SELENE), Proc. SPIE, 4151, 32–39, 2
Matsunaga, T., M. Ohtake, and T. Sugihara, Environmental test results and their implications to the performance of SELENE Spectral Profiler, Proc. 23rd Inter. Symp. Space Techn. Sci., 1922–1927, 2002.
McEwen, A. S. and E. B. Bierhaus, The importance of secondary cratering to age constraints on planetary surfaces, Ann. Rev. Earth Planet. Sci., 34, 535–567, 2006.
McEwen, A. S., B. S. Preblich, E. P. Turtle, N. A. Artemieva, M. P. Golombek, M. Hurst, R. L. Kirk, D. M. Burr, and P. R. Christensen, The rayed crater Zunil and interpretations of small impact craters on Mars, Icarus, 176, 351–381, 2005.
Morota, T., T. Ukai, and M. Furumoto, Influence of the asymmetrical cratering rate on the lunar cratering chronology, Icarus, 173, 322–324, 2005.
Morota, T., J. Haruyama, C. Honda, Y. Yokota, M. Ohtake, and M. Furumoto, Lunar apex-antapex cratering asymmetry as an impactor recorder in the Earth-Moon system, Adv. Space Res., 2007 (in press).
Namiki, N. and C. Honda, Testing hypotheses for the origin of steep slope of lunar size-frequency distribution for small craters, Earth Planets Space, 55, 39–51, 2003.
Neukum, G., Meteoritenbombardement und Datierung planetarer Oberflachen, Habilitation Dissertation for Faculty Membership, Ludwig Maximilianis Univ., Munich, 1983.
Neukum, G. and B. A. Ivanov, Cratering size distributions and impactprobabilities on Earth from lunar, terrestrial planet, and asteroid cratering data in Hazards Due to Comet and Asteroids, edited by T. Gehrels, pp. 359–416, Univ. of Arizona Press, Tucson, 1994.
Neukum, G. and B. Konig, Dating of individual lunar craters, Proc. Lunar Sci. Conf. 7th, 2867–2881, 1976.
Neukum, G., B. Konig, and J. Arkani-Hamed, A study of lunar impact crater size-distributions, The Moon, 12, 201–229, 1975a.
Neukum, G., B. Konig, H. Fechtig, and D. Storzer, Cratering in the earthmoon system: Consequences for age determination by crater counting, Proc. Lunar Sci. Conf. 6th, 2597–2620, 1975b.
Ohtake, M., J. Haruyama, H. Otake, and T. Matsunaga, LISM mission for the SELENE project, Proc. 4th Int. Conf. On the Exploration and Utilisation of the Moon, 203–206, 2000.
Ohtake, M., J. Haruyama, T. Matsunaga, S. Kodama, T. Morota, and Y. Yokota, Scientific objectives and specification of the SELENE Multiband Imager, Adv. Space Res., 2007 (in press).
Soderblom, L. A. and L. A. Lebofsky, Technique for rapid determination of relative ages of lunar areas from orbital photograpy, J. Geophys. Res., 77, 279–296, 1972.
Wilhelms, D. E., Geologic history of the Moon, U.S. Geol. Surv. Prof. Pap., 1348, 302 pp, 1987.
Yokota, Y., J. Haruyama, M. Ohtake, T. Matsunaga, C. Honda, T. Morota, H. Demura, N. Hirata, and LISM working group, Kilometer scale roughness analysis of lunar digital terrain model, Lunar Planet. Sci. XXXVIII, Abstract #2430, 2007.
Young, R. A., Mare crater size-frequency distributions: implications for relative surface ages and regolith, Proc. Lunar Sci. Conf. 6th, 2645–2662, 1975.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Morota, T., Haruyama, J., Honda, C. et al. Lunar cratering chronology: Statistical fluctuation of crater production frequency and its effect on age determination. Earth Planet Sp 60, 265–270 (2008). https://doi.org/10.1186/BF03352790
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1186/BF03352790