The linear theory for spinning projectiles is extended to account for the application of a simple lateral square impulse activated during free flight. Analytical results are shown to produce simple contributions to the familiar aerodynamic jump formulation. Inquiries regarding jump smearing caused by nonzero impulse length are addressed and answered. The formulation shows for sufficiently long-term target interception, lateral impulse trajectory response for a guided projectile is independent of when the impulse is activated during the yaw cycle. Simple limits show the presented results reducing to those previously found for a zero-spin projectile acted upon by a singular lateral impulse.

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