A Time-dependent Self-similar Reconstruction of Solar Coronal Mass Ejections Based on the Gibson-Low Model

The analytic Gibson-Low (GL) model, a time-dependent self-similar solution of the magnetohydrodynamics, is first used to directly reconstruct a coronal mass ejection (CME) through the method of forward modeling in this study. A systematic description of the GL model is presented at the beginning, and a set of parameters is introduced to define the model. Then a CME on 2011 March 7 is reconstructed by fitting of GL (FGL) of the multi-viewpoint and time series observations. The first step of FGL is the initialization of the location and orientation of the GL using the information of the CME source region. The second step is to fit the parameters of size, shape, velocity, and strength of the magnetic field of the GL to the observations of coronagraphs at 20:24 and 20:39. The GL at 20:54 and 3 R (circle dot) is generated through the theory of self-similar expansion respectively. Comparisons between the synthetic images of the GL and the real observations of the CME prove the performance of FGL that the reconstructions well match the observations.