A spatially and temporally local analysis is provided for unsteady, oblique
shock waves, in which the flow is assumed to be two-dimensional or axisymm
etric. Three unsteady parameters, in a laboratory frame, are viewed as the
known independent variables. These are the upstream Mach number, the shock
Mach number, and the angle of the shock relative to the instantaneous upstr
eam velocity. Other steady and unsteady parameters, such as the velocity tu
rn angles and downstream Mach numbers, are evaluated in closed form, in ter
ms of these three quantities. Treads are assessed, and a sensitivity analys
is is provided. It is suggested that the theory may find application in con
verting a shock capturing algorithm; at an early time during the computatio
nal process, into a shock fitting algorithm.