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Photometric modeling of the Moon using Lommel-Seeliger function and Chang’E-1 IIM data

  • Article
  • Astronomy
  • Published:
Chinese Science Bulletin

Abstract

The imaging interferometer (IIM) aboard the Chang’E-1 lunar orbiter is the first multispectral imaging spectrometer for Chinese lunar missions. Before science applications (e.g., FeO and TiO2 mapping) of the IIM raw data, the radiance variation due to changes in illumination and viewing geometry has to be removed from the radiometrically calibrated IIM Level 2A images. To achieve this, we fit the IIM Level 2A radiance data with a Lommel-Seeliger photometric model consisting of an exponential term and a fourth order polynomial in the phase function, without distinguishing between lunar maria and highlands. The exponential and the fourth order polynomial parameters are derived separately by fitting to two datasets divided at a solar phase angle threshold, avoiding a decrease in the phase function close to zero phase angle. Different phase angle thresholds result in coincident fitting curves between 20° and 75°, while large discrepancies occur at other phase angles. Then the derived photometric model is used to normalize the IIM Level 2A data to radiance values at an incidence and phase angle of 30° and emission angle of 0°. Our photometric model is validated by comparing two photometrically normalized IIM radiance spectra covering the same areas, showing a relative deviation consistent with the IIM preflight calibration.

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Authors and Affiliations

  1. School of Physics, Shandong University, Jinan, 250100, China

    Jiang Zhang

  2. School of Space Science and Physics & Shandong Provincial Key Laboratory of Optical Astronomy & Solar-Terrestrial Environment, Shandong University, Weihai, 264209, China

    Jiang Zhang & ZongCheng Ling

  3. Academy of Opto-Electronics, Chinese Academy of Sciences, Beijing, 100094, China

    WenXi Zhang

  4. National Astronomical Observatories, Chinese Academy of Sciences, Beijing, 100012, China

    Xin Ren & ChunLai Li

  5. Institute of Geochemistry, Chinese Academy of Sciences, Guiyang, 550002, China

    JianZhong Liu

Authors
  1. Jiang Zhang
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  2. ZongCheng Ling
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  3. WenXi Zhang
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  4. Xin Ren
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  5. ChunLai Li
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  6. JianZhong Liu
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Correspondence to Jiang Zhang.

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Zhang, J., Ling, Z., Zhang, W. et al. Photometric modeling of the Moon using Lommel-Seeliger function and Chang’E-1 IIM data. Chin. Sci. Bull. 58, 4588–4592 (2013). https://doi.org/10.1007/s11434-013-6097-3

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  • DOI: https://doi.org/10.1007/s11434-013-6097-3

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