Authors: Katayoun Movassaghi (Florida Institute of Technology), Jean C. Perez (Florida Institute of Technology), Sofiane Bourouaine (Florida Institute of Technology)

We introduce an analytical closed-form approximation for the two-point correlation in real space based on MHD turbulence theories, which can be used directly in the analysis of anisotropic turbulence in the solar wind. The field-parallel and field-perpendicular components are computed separately and their contours are plotted numerically illustrating the anisotropy in the decorrelation rates. Using data from high-resolution numerical simulations of steadily-driven RMHD turbulence, we compute the two-point (spatial) correlation to compare with and verify our analytical expression. The characteristic length Λ was determined using the alignment angle of multiple snapshots. The ability to interpret time signals is critical to understanding spatial information in cases where Taylor’s hypothesis is invalid. With such an expression we remove the need to take the Fourier transform of discrete data and work towards being able to understand the spatial structure of solar wind turbulence given time signals in cases where Taylors hypothesis is invalid. This has practical applications with multipoint data where information in the plasma frame can also be obtained simultaneously with zero time lags.