The asymptotic solution of the equations of radiation gasdynamic, describing stationary interaction of two hypersonic gas flows from two identical spherically symmetric sources is obtained. In a shock layer near the contact plane, the modified method of expansion of the sought functions with respect to a small parameter, which is the ratio of gas densities in the incoming flow and behind the shock wave is used. In the assumption that the gas in a shock layer is in thermodynamic equilibrium and that volume radiation takes place in it, the analytical solution for the distribution of gas-dynamics function and temperature is obtained. The form of a shock wave and the distribution of radiation heat flux on a plane are found in the form of quadratures. Dependence of the form of a shock wave and radiation heat flux on the parameters of the problem are investigated.
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