  Burnback analysis is a geometric exercise, whose correct solution leads to
obtaining the thrust curve of solid propellant rockets. Traditionally, Piobert
statement, which introduces a certain amount of intuition, is used as an
argument to construct analytical and numerical algorithms, although it is also
common to use numerical integration of differential equations, whose solution
is free of ambiguities. This paper presents a detailed study of the process
experienced by the combustion surface that allows enunciating the properties of
the kinematics of the surface without the need to appeal to heuristic
considerations. Next, the methods used throughout the technological development
of solid propellant rockets are reviewed, from their beginnings to modern
methods, which obtain solutions to complex problems, based on the numerical
solution of PDE. Other methods are also reviewed, which are developed around
some of the properties presented by the solution, that is, methods of heuristic
or phenomenological foundation. As a result of the review, it becomes clear
that the solution of the Eikonal equation for burnback analysis is undertaken
in the early 2000, clarifying the problem. Finally, several examples of the
capabilities of the most relevant methods are provided, from the point of view
of both efficiency and precision, presenting results in situations of interest,
in the field of propulsion by solid-propellant rockets.
