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Parachute Inflation and Opening Shock

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Dimensionless Equations<br />

• The ballistic equations can be written in<br />

dimensionless form<br />

dV<br />

dt *<br />

x*<br />

=<br />

dγ<br />

= *<br />

dt<br />

F<br />

r<br />

sin γ<br />

⎛<br />

⎜<br />

⎜1<br />

+<br />

⎝<br />

K<br />

F V<br />

r<br />

x*<br />

t<br />

C<br />

K<br />

ax<br />

t<br />

⎞<br />

⎟<br />

⎠<br />

cos γ<br />

−<br />

( K + C )<br />

t<br />

ax<br />

3<br />

8<br />

( K + C )<br />

t<br />

C<br />

<strong>Parachute</strong> <strong>Inflation</strong> <strong>and</strong> <strong>Opening</strong> 24<br />

d<br />

V<br />

2<br />

x<br />

ax

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