Proportional Navigation Guidance Calculator

Aerospace Missile Guidance: Calculate line-of-sight (LOS) angular rate ($\dot{\lambda}$), closing velocity ($V_c$), and commanded lateral acceleration ($n_c$) via PN law.

Kinematic Intercept Geometry

Missile Speed $V_m$ (m/s):

Target Speed $V_t$ (m/s):

Current Range $R$ (m):

LOS Angular Rate $\dot{\lambda}$ (°/s):

Guidance Law Parameters

Navigation Ratio $N$:

Target Heading Offset $\beta$ (°):

Guidance Acceleration Command

Commanded Accel ($n_c$)

-- m/s²

In g-load: -- g

Closing Velocity ($V_c$)

-- m/s

Rel Mach: --

Time-to-Go ($t_{go}$)

-- s

Flight Path Turn: -- °/s

Navigation Gain ($N$)

Optimal range: 3.0 - 4.5

Proportional Navigation Law:

• $n_c = N \cdot V_c \cdot \dot{\lambda}$. Commanded lateral acceleration is directly proportional to line-of-sight angular rate.

• Driving $\dot{\lambda} \to 0$ places the missile on a constant-bearing collision course (zero effort miss).

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Proportional Navigation Guidance Calculator

Kinematic Intercept Geometry

Guidance Law Parameters

Guidance Acceleration Command

Frequently Asked Questions