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LIMIT IMPOSED BY THE PARAMETER Q ON MISSILE TRAJECTORIES


OBJECTIVE : To discuss about the fundamentals of missile trajectories and the limits imposed by a non dimensional parameter Q on the existence and nature of the trajectory.
SUMMARY: Q is a non dimensional parameter defined as the ratio of the speed of the satellite to the circular speed of the satellite in that orbit.


There are two trajectories to the target which result from the same values of rbo and vbo• The trajectory corresponding to the larger value of flight-path angle is called the high trajectory the trajectory associated with the smaller flight-path angle is the low trajectory.
The nature of the high and low trajectory depends primarily on the value of Qbo.
• Qbo. < 1 and if the flight path angle less than 180 there exists two trajectories.
if the flight path angle greater than 180 no trajectories exists.
• Qbo = 1 and if the flight path angle less than 180 there exists two trajectories.
if the flight path angle greater than 180 only high trajectory exists.
• Qbo > 1 and if the flight path angle less than 180 there exists only high trajectory.
and if the flight path angle greater than 180 there exists only high trajectory.

CONCLUSION:

The effect of Qbo on missile trajectories is well understood.