Lightcurve Inversion For Binary Asteroids Using MCMC

Astronomy and Astrophysics – Astronomy

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Scientific paper

We study lightcurve inversion for spin, shape, and scattering properties as well as intrinsic orbital properties of a binary asteroid. We assume, first, that the shapes of the primary and secondary components are convex and, second, that a two-body dynamical model is valid for the binary system. We search for the nonlinear least-squares parameters using stochastic optimization that includes ingredients from Markov chain Monte Carlo (MCMC) and simulated annealing. In the proximity of the least-squares solution, we map the parameter uncertainties using MCMC. We compare the inverse methods to the analogous methods already proven successful for single-asteroid lightcurve inversion. Note that, differing from the conventional convex lightcurve inversion method, shape optimization and inversion are carried out directly in the phase space of convex shapes. The methods can be applied to interpret the data in the Asteroid Photometric Catalogue maintained at the University of Helsinki as well as the forecoming photometric data of the Gaia mission (launch 2012). Research supported, in part, by the Academy of Finland through project No. 127461.

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