cranfield0032

<DOC>
<DOCNO>
32
</DOCNO>
<TITLE>
the dynamic motion of a missile descending through
the atmosphere .
</TITLE>
<AUTHOR>
friedrich,h.r. and dore,f.j.
</AUTHOR>
<BIBLIO>
j. ae. scs. 22, 1955, 628.
</BIBLIO>
<TEXT>
  a method is presented for computing rapidly, yet accurately,
the dynamic motion of a ballistic-type missile descending through
the atmosphere .  the equations of motion are separated into a
set of /static/ trajectory equations (zero angle of attack) and a
set of /rotational/ equations describing the oscillatory motion
of the missile about its center of gravity .  a transformation
allows the rotational equations to be written in a manner analogous
to the equation for an undamped oscillating spring mass
system with the mass equal to unity and a time variable spring
constant .  for given initial conditions this equation can be
solved to obtain the envelope of maximum angle of attack .  an
additional transformation allows the calculation of the complete
oscillatory motion at any time during the trajectory as a function
of the maximum angle of attack at that time .
  this solution shows that the maximum angle of attack of a
missile descending through the atmosphere at relatively constant
speed is reduced even when the aerodynamic damping is neglected .
</TEXT>
</DOC>