Mathematical Model of Observations from a Muon Hodoscope Taking into Account the Kinematics and Geometry of Solar Coronal Mass Ejections

A mathematical model for observations from a muon hodoscope which takes into account the kinematic and geometric parameters of solar coronal mass ejections (CMEs) is proposed. Equations for the calculation of mutual motions of the elements of the Sun–CME–Earth–muon hodoscope system and parameters of solar CMEs for the plane case are formulated. A model for a sequence of observations from the muon hodoscope with possible Forbush decreases is developed. The application of the developed mathematical observation model to problems of estimating CME parameters is presented.