Authors: Igor V. Sokolov (University of Michigan) and Tamas I. Gombosi (University of Michigan)

Inspired by the concept of relativity of simultaneity used in the theory of special relativity, a new approach is proposed to simulate future solar wind conditions at any point in the inner solar system. The model for the inner heliosphere is based on time transformation to a boosted space-time coordinate system, in which the current state of the solar wind at the solar corona – inner heliosphere boundary and future states of the solar wind are simultaneous. The predictive capability for tomorrow’s parameters of the ambient solar wind is achieved by simulating them simultaneously with the current observations of the solar magnetic field, the time offset being enabled by the use of boosted frame. The proposed method enables an efficient numerical implementation and thus a significantly longer forecast time than traditional solution methods. In the numerical test for transient propagation, the boosted solution for the CME-driven shock arrival at 1AU is 16 hours ahead of the solution at the solar corona — inner heliosphere boundary.