  This work contains the derivation and type analysis of the conical Ideal
Magnetohydrodynamic equations. The 3D Ideal MHD equations with Powell source
terms, subject to the assumption that the solution is conically invariant, are
projected onto a unit sphere using tools from tensor calculus. Conical flows
provide valuable insight into supersonic and hypersonic flow past bodies, but
are simpler to analyze and solve numerically. Previously, work has been done on
conical inviscid flows governed by the Euler equations with great success. It
is known that some flight regimes involve flows of ionized gases, and thus
there is motivation to extend the study of conical flows to the case where the
gas is electrically conducting. To the authors' knowledge, the conical
magnetohydrodynamic equations have never been derived and so this paper is the
first invesitgation of that system. Among the results, we show that conical
flows for this case do exist mathematically and that the governing system of
partial differential equations is of mixed type. Throughout the domain it can
be either hyperbolic or elliptic depending on the solution.
