A solution of the linearized equations of a chemically nonequilibrium
boundary layer describing the turbulent axisymmetric flow in the far w
ake behind a body flying at a hypersonic velocity is used to process e
xperimental measurements of the electron density in the wake. The solu
tion of the nonlinear kinetic equation for the electron density in a m
ixture of air with a ''recombining' admixture, obtained by quadrature,
is quite general. The inverse problem is posed of determining the ele
ctron recombination rate constants from measurements of the distributi
ons of integrated quantities associated with the electron density. An
algorithm is proposed for solving this inverse problem. As an example,
solutions of the inverse problem are obtained for mixtures of air and
xenon. The rate constant for the dissociative recombination Xe2+ + e
was found from aeroballistic experiments performed at the Institute of
Mechanics, Moscow State University, and was in satisfactory agreement
with the published data.