Principle of Undulatory Invariance in Photometry of Atmosphereless Celestial Bodies

Shkuratov, Yu. G.; Starukhina, L. V.; Kreslavsky, M. A.; Opanasenko, N. V.; Stankevich, D. G.; Shevchenko, V. G.

doi:10.1006/icar.1994.1084

Cited by 62 publications

(40 citation statements)

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“…As to the ultraviolet range, the ratio increases systematically with albedo. Recent studies of lunar phase-ratio images have been carried out by Shkuratov et al (1994a).…”

Section: Observationsmentioning

confidence: 99%

“…Supplementing this differential equation with proper initial and boundary conditions, one comes to the classical Sturm-Liouville problem on a spherical sector with the following boundaries: α − π/2 ≤ l ≤ π/2 and −π/2 ≤ b ≤ π/2. Its solution has been presented in detail by Shkuratov (1995) and Shkuratov et al (1994a). The function F (ρ, α, b, l) is expanded in the Laplacian eigenfunctions for the spherical sector,…”

Section: Shadow-hiding Effectmentioning

confidence: 99%

“…Note that in the paper by Shkuratov et al (1994a) a misprint was committed. A few formulas describe the latitude dependence as cos(πb/(π − α)), whereas it should be (cos b) π/(π − α) .…”

Section: Shadow-hiding Effectmentioning

confidence: 99%

“…Equation (26) is rather complicated. Even for simplest initial indicatrices, e.g., for the Lambert scattering law, the final expression is rather cumbersome (Shkuratov 1995, Shkuratov et al 1994a.…”

Section: Shadow-hiding Effectmentioning

confidence: 99%

“…Among the problems of lunar photometry, the brightness opposition effect is of special interest. Recent studies of this effect (e.g., Nozette et al 1994, Shkuratov et al 1994a, Buratti et al 1996, Helfenstein et al 1997, Hillier 1997, Hapke et al 1993 were largely based on (1) obtaining Clementine data and (2) taking new approaches to their interpretation. The latter includes an application of the interference mechanism called often the coherent backscatter enhancement or weak localization of light.…”

Section: Introductionmentioning

confidence: 99%

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Opposition Effect from Clementine Data and Mechanisms of Backscatter

Shkuratov

Kreslavsky

Ovcharenko

et al. 1999

Icarus

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157

126

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An analysis of Clementine data obtained from a UVVIS camera and simulating laboratory photometric and polarimetric measurements is presented with the use of a new photometric threeparameter function combining the shadow-hiding and coherent backscatter mechanisms. The fit of calculated curves to the average brightness phase function of the Moon derived from Clementine data indicates that the coherent backscatter component is nonzero. The average amplitude of the opposition surge of the Moon in the range of phase angles 0• -1• is approximately 10%. The Clementine data also show a flattening of phase-dependent brightness at angles less than 0.25• that is caused by the angular size of the solar disk. The lunar brightness phase curves at small phase angles are nearly the same in different wavelengths even though at larger phase angles (5• -50 • ) the lunar surface becomes distinctly redder with increasing phase angle. According to the model, the lack of wavelength-dependent brightness variations at small phase angles can be due to quasifractal properties of the lunar surface. Results of related laboratory measurements suggest that: (1) besides the narrow coherent backscatter opposition spike there is a broad component which can contribute to phase angles up to 10• and (2) a component of coherent backscatter can be important even for low albedo surfaces. The latter testifies the opposition effect of the lunar surface to be substantially formed by the coherent backscatter mechanism.

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“…As to the ultraviolet range, the ratio increases systematically with albedo. Recent studies of lunar phase-ratio images have been carried out by Shkuratov et al (1994a).…”

Section: Observationsmentioning

confidence: 99%

Section: Shadow-hiding Effectmentioning

confidence: 99%

Section: Shadow-hiding Effectmentioning

confidence: 99%

Section: Shadow-hiding Effectmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Opposition Effect from Clementine Data and Mechanisms of Backscatter

Shkuratov

Kreslavsky

Ovcharenko

et al. 1999

Icarus

Self Cite

157

126

View full text Add to dashboard Cite

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Lunar opposition effect as inferred from Chandrayaan‐1 M³ data

et al. 2013

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[1] The shadow-hiding and coherent backscattering enhancement mechanisms are considered to be the major contributors to the brightness opposition effect of the Moon. However, the actual proportions of the mechanisms at different phase angles still remain not well determined. In order to assess the lunar phase function across small phase angles, we utilize imaging spectrometer data acquired by the Moon Mineralogy Mapper (M 3 ) onboard the Chandrayaan-1 spacecraft. We calculated phase functions of apparent reflectance and color ratios in the wavelength range 541-2976 nm for several mare and highland areas. As inferred from changes in the wavelength dependence of the phase curves, the shadow-hiding effect is a major component of the brightness opposition surge at phase angle > 2 . The coherent backscattering enhancement may contribute some to the opposition effect at phase angles < 2 . We found nonmonotonic behavior of color-ratio phase curves that reveal the minimum at~2-4. Using lunar observations, this is the first reliable evidence of the colorimetric opposition effect found earlier for lunar samples.Citation: Kaydash, V., C. Pieters, Y. Shkuratov, and V. Korokhin (2013), Lunar opposition effect as inferred from Chandrayaan-1 M 3 data,

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