Photometric properties of lunar terrains derived from Hapke's equation

The photometric parameters of B. W. Hapke's (1986, Icarus 67, 264–280) equation are fit to the lunar disk-integrated visual lightcurve and to disk-resolved data of R. W. Shorthill, J. M. Saari, F. E. Baird, and J. R. LeCompte (1969, Photometric Properties of Selected Lunar Features, NASA Contractor Report CR-1429) for dark, average, and bright lunar terrains. The lunar nearside geometric albedo and phase integral computed from the disk-integrated results are consistent with those of earlier investigators. The single scattering albedos of disk-resolved average and bright lunar terrains are systematically larger than that of lunar mare. Average particles in dark terrain regoliths are more backscattering than those in average and bright lunar terrains. The angular width of the opposition surge is greatest in dark terrains and is found to be best explained by modest differences in regolith particle-size distributions which might accompany the normal regolith maturation process. The total amplitude of the opposition surge for dark terrains is larger than for average and bright terrains. This result appears to be a consequence of the fact that in opaque particles, a larger fraction of singly scattered light at zero phase comes from first-surface reflection. The average subcentimeter macroscopic roughness of dark terrains is significantly lower than that of average and bright terrains. The relative magnitude of this difference is consistent with that obtained from radar measurements at decimeter scales.

[1]  W. Irvine,et al.  Monochromatic phase curves and albedos for the lunar disk. , 1973 .

[2]  B. Hapke Bidirectional reflectance spectroscopy: 4. The extinction coefficient and the opposition effect , 1986 .

[3]  J. Goguen A Theoretical and Experimental Investigation of the Photometric Functions of Particulate Surfaces. , 1981 .

[4]  B. Hapke,et al.  PHOTOMETRIC STUDIES OF COMPLEX SURFACES, WITH APPLICATIONS TO THE MOON , 1963 .

[5]  R. H. Brown,et al.  Voyager 2 in the Uranian System: Imaging Science Results , 1986, Science.

[6]  David S. McKay,et al.  Grain size and the evolution of lunar soils. , 1977 .

[7]  E. Whitaker An Investigation of the Lunar Heiligenschein , 1969 .

[8]  Bruce Hapke,et al.  Effects of vapor-phase deposition processes on the optical, chemical, and magnetic properties OE the lunar regolith , 1975 .

[9]  Daniel Taupin,et al.  Probabilities data reduction and error analysis in the physical sciences/ by Daniel Taupin , 1988 .

[10]  M. Minnaert Photometry of the Moon , 1961 .

[11]  B. Buratti Application of a radiative transfer model to bright icy satellites , 1984 .

[12]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[13]  R. Simpson,et al.  Radar scattering laws for the lunar surface , 1982 .

[14]  B. Hapke A THEORETICAL PHOTOMETRIC FUNCTION FOR THE LUNAR SURFACE , 1963 .

[15]  A. L. Bennett A photovisual investigation of the brightness of 59 areas on the moon , 1938 .

[16]  Paul E. Johnson,et al.  A semiempirical method for analysis of the reflectance spectra of binary mineral mixtures , 1983 .

[17]  H. Holt,et al.  In Situ Measurements of the Photometric Properties of an Area on the Lunar Surface , 1968 .

[18]  K. Lumme,et al.  Radiative transfer in the surfaces of atmosphereless bodies. III - Interpretation of lunar photometry , 1982 .

[19]  W. D. Carrier,et al.  The relative density of lunar soil , 1973 .

[20]  William M. Irvine,et al.  The shadowing effect in diffuse reflection , 1966 .

[21]  Kari Lumme,et al.  Radiative transfer in the surfaces of atmosphereless bodies. I. Theory. , 1981 .

[22]  Titania's opposition effect: Analysis of Voyager observations , 1987 .

[23]  B. Hapke An Improved Theoretical Lunar Photometric Function. , 1966 .

[24]  B. Hapke Bidirectional reflectance spectroscopy: 1. Theory , 1981 .

[25]  K. Pang,et al.  Interpretation of whole‐disk photometry of Phobos and Deimos , 1983 .

[26]  J. V. Diggelen Photometric properties of lunar crater floors , 1964 .

[27]  T. Gehrels,et al.  Wavelength dependence of polarization. iii - the lunar surface. , 1964 .

[28]  R. Wildey,et al.  The Normal Albedo of the Apollo 11 Landing Site and Intrinsic Dispersion in the Lunar Heiligenschein , 1969 .

[29]  H. N. Russell The Stellar Magnitudes of the Sun, Moon and Planets , 1916 .

[30]  W. D. Carrier,et al.  Strength and compressibility of returned lunar soil , 1972 .

[31]  B. Hapke,et al.  Bidirectional reflectance spectroscopy: 2. Experiments and observations , 1981 .

[32]  R. Wildey,et al.  The Moon in Heiligenschein , 1978, Science.

[33]  B. Hapke Bidirectional reflectance spectroscopy , 1984 .

[34]  E. A. Whitaker Implications for asteroidal regolith properties from comparisons with the lunar phase relation and theoretical considerations , 1979 .

[35]  Detailed photoelectric photometry of the moon. , 1964 .

[36]  H. W. Radin,et al.  The Moon's photometric function l, near zero phase angle from Apollo 8 photography , 1969 .

[37]  P. Helfenstein The geological interpretation of photometric surface roughness , 1988 .

[38]  John F. Mustard,et al.  Quantitative Abundance Estimates From Bidirectional Reflectance Measurements , 1987 .

[39]  James K. Mitchell,et al.  Lunar soil porosity and its variation as estimated from footprints and boulder tracks , 1972 .

[40]  James K. Mitchell,et al.  Mechanical properties of lunar soil - Density, porosity, cohesion, and angle of internal friction. , 1972 .

[41]  J. Veverka,et al.  Satellites of Uranus: Disk-integrated photometry from Voyager imaging observations , 1987 .

[42]  H. N. Russell On the Albedo of the Planets and Their Satellites , 1916 .

[43]  Bruce Hapke,et al.  Interpretations of optical observations of Mercury and the moon , 1977 .

[44]  J. Veverka,et al.  Phase curves of materials of Io: Interpretation in terms of Hapke's function , 1986 .

[45]  B. Hapke,et al.  Photometry and polarimetry of Mercury , 1988 .

[46]  P. Oetking Photometric studies of diffusely reflecting surfaces with applications to the brightness of the Moon , 1966 .

[47]  A. Emslie,et al.  Spectral reflectance and emittance of particulate materials. 1: theory. , 1973, Applied optics.