A threeparameter magnitude phase function for asteroids
Abstract
We develop a threeparameter H, G_{1}, G_{2} magnitude phase function for asteroids starting from the current twoparameter 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, G_{1}, G_{2} 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 threeparameter phase function, we derive a nonlinear twoparameter H, G_{12} phase function, and demonstrate its applicability in predicting phase dependencies based on small numbers of observations.
 Publication:

Icarus
 Pub Date:
 October 2010
 DOI:
 10.1016/j.icarus.2010.04.003
 Bibcode:
 2010Icar..209..542M