Abstract Kinematic properties of coronal mass ejections (CMEs) suffer from pro jection effects, and it is expected that the real velocity should be larger and the real angular width should be smaller than the apparent values. Several attempts have been taken to correct the projection effects, which however led to an inflated average ve locity probably due to the biased choice of CME events. In order to estimate the over all influence of the projection effects on the kinematic properties of the CMEs, we perform a forward modeling of real distributions of CME properties, such as the velocity, the angular width, and the latitude, by requiring their projected distributions to best match observations. Such a matching is conducted by Monte Carlo simulations. According to the derived real distributions, we found that (1) the average real velocity of all non-full-halo CMEs is about 514 km s-1 , and the average real angular width is about 33, in contrast to the corresponding apparent values of 418 km s-1 and 42.7 in observations; (2) For the CMEs with the angular width in the range of 20 - 120 , the average real velocity is 510 km s-1 and the average real angular width is 43.4, in contrast to the corresponding apparent values of 392 km s-1 and 52 in observations.

Keywords Sun: coronal mass ejections (CMEs) — methods: statistical — methods: numerical

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