In considering the motion of the rocket, at each instant of time
only the state of those material particles which a t that instant
are within the control surface passing through the exterior surface
of the body of the rocket and the exit section of the nozzle shall
be included. In order t o obtain the equations of motion of the
rocket, the following procedure is used. An arbitrary but fixed
instant of time is considered. A fictitious solid body is denoted
by S with mass m, which would be obtained if the rocket at the
instant t solidified and ceased giving off particles. The solid
body S will not be homogeneous; in some of its parts, it will have
the density of a metal and in other parts the density of a gas, and
so forth. It shall be assumed that the fictitious solid body S is
invariably fixed to the body of the rocket and from the instant t
onwards (instant of solidification) moves together with the rocket.
The momentum of the body S shall be denoted by Q.
General
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