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A three-parameter magnitude phase function for asteroids |
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| Authors: | Karri Muinonen,Irina N. Belskaya,Marco Delbò ,Antti Penttilä |
| Affiliation: | a University of Helsinki, Department of Physics, Gustaf Hällströmin katu 2a, P.O. Box 64, FI-00014 U. Helsinki, Finland b Finnish Geodetic Institute, Geodeetinrinne 2, P.O. Box 15, FI-02431 Masala, Finland c Astronomical Institute of Kharkiv National University, 35 Sumska Street, 61035 Kharkiv, Ukraine d INAF - Osservatorio Astronomico di Torino, Strada Osservatorio 20, 10025 Pino Torinese, Italy e UMR 6202 Laboratoire Cassiopée, Observatoire de la Côte d’Azur, BP 4229, 06304 Nice Cedex 4, France f UPMC Univ. Paris 06, UMR 7620, BP3, 91371 Verrières, France g Planetary Science Institute, 1700 E. Fort Lowell, Suite 106, Tucson, AZ 85719-2395, USA |
| Abstract: | We develop a three-parameter H, G1, G2 magnitude phase function for asteroids starting from the current two-parameter H, G phase function. We describe stochastic optimization of the basis functions of the magnitude phase function based on a carefully chosen set of asteroid photometric observations covering the principal types of phase dependencies. We then illustrate the magnitude phase function with a chosen set of observations. It is shown that the H, G1, G2 phase function systematically improves fits to the existing data and considerably so, warranting the utilization of three parameters instead of two. With the help of the linear three-parameter phase function, we derive a nonlinear two-parameter H, G12 phase function, and demonstrate its applicability in predicting phase dependencies based on small numbers of observations. |
| Keywords: | Asteroids Asteroids, Surfaces Asteroids, Composition Photometry |
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