Estimating phase integrals - A generalization of Russell's law

Details Estimating phase integrals - A generalization of Russell's law Estimating phase integrals - A generalization of Russell's law

Feb 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988icar...73..324v&link_type=abstract

Icarus (ISSN 0019-1035), vol. 73, Feb. 1988, p. 324-329.

Astronomy and Astrophysics

Astronomy

1

Albedo, Astronomical Photometry, Phase Shift, Phase-Space Integral, Planetary Radiation, Least Squares Method, Moon, Radiative Transfer, Reflectance, Solar Spectra

Scientific paper

According to Russell's law, the phase integral q of a planet can be derived from Φ (50°), its disk-integrated brightness (flux) at a phase angle of 50°, assuming Φ is normalized so Φ (0°) = 1. Using Hapke's photometric function it is shown that Russell's law can be generalized to make use of data between phase angles of 40 and 90° in the form q = A+BΦ(α0), where A = -0.465+0.008 α0 and B = 2.521-0.032 α0+0.0005 α02. The optimum approximation occurs near α0 =70°, for which q = 0.135+2.671 Φ(70°).

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