Photoelectric photometry of 22 Kalliope during the 1985 opposition and determination of its pole orientation - The 'magnitude-aspect' relations revisited

Astronomy and Astrophysics – Astrophysics

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Asteroids, Astronomical Photometry, Axes Of Rotation, Electrophotometry, Light Curve, Attitude (Inclination), Ubv Spectra

Scientific paper

Using photoelectric photometry of 22 Kalliope from nine previous oppositions as well as a photometric lightcurve recorded with the ESO 50cm telescope during the 1985 opposition, we have derived a unique solution for the pole orientation ofthis minor planet: λ0 = 2O3° ± 2°, β0= 29° ± 5°, a/b= 1.33 ± 0.01, and b/c= 1.24 ± 0.08, on the basis of the revisited "amplitude-aspect" relation. Furthermore we show that whenever a minimum of three accurately calibrated photometric lightcurves of an asteroid are available at suitable oppositions, it is possible to make use of "magnitude-aspect" relations in order to determine the ecliptic coordinates (λ0,β0) of the rotation axis, the absolute dimension of the three semi-axes (a, b, c) of the ellipsoid which suits at best the observed asteroid lightcurves as well as the Bowell and Lumme multiple-scattering factor Q. Considering only four of the best published lightcurves of 22 Kalliope, we find the following results: λ0 = 2O1° ± 2° β0 = 22° ± 6°, a = 82 ± 4km, b = 62 ± 3km, c = 55 ± 2km and Q = 0.164 ± 0.OO9 leading to a value of β, = O.O28 ± 0.001 mag deg-1 for the phase coefficient. This technique is only seriously limited by the accuracy of the published photometric zero points as well as by the symmetry of the asteroid lightcurve and it should therefore always be applied with much care.

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