Regularization Algorithm for Calculating Height and Temporal Characteristics Describing the Dynamics of Chelyabinsk Meteoroid Passage Through the Atmosphere

Abstract

A self-consistent approach to analyzing observational data on meteoroids in Earth's atmosphere has been suggested. The functionals stabilizing the regularization algorithm are determined. The Chelyabinsk meteoroid passage path is estimated. The temporal dependences of celestial body mass and midsection are determined. Cubic splines are used for modeling the temporal dependences of the passage path, mass, and the midsection. A priori information on the elements of the passage path and the meteorite flare radiated energy is taken into account as monotonically descending temporal dependences. The regularization parameters are determined.