Ballistic Missile Trajectory Simulation

AI Ballistic Missile Dashboard

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Theory

Ballistic motion is a form of projectile motion in which an object is launched into the air and thereafter follows a curved path under the influence of gravity. In this simulation, the object is assumed to move in a two-dimensional plane, and its trajectory is modeled using classical projectile equations. It does not include highly complex real-world parameters such as:Atmospheric drag, Multi-stage propulsion, Wind effects, Earth curvature, Guidance and control systems,and Aerodynamic instability.

Gravity: g = 9.8 m/s²

Range Equation: R = (v² sin 2θ) / g

Velocity: v = √((R × g) / sin 2θ)

Time of Flight: T = (2v sin θ) / g

Maximum Height: H = (v² sin² θ) / 2g

Horizontal Velocity: vx = v cos θ

Vertical Velocity: vy = v sin θ

Position: x = vx·t and y = vy·t − ½gt²

Note: Weight is included as an input parameter for future AI-based enhancement, but in the current simplified projectile model, it does not directly affect the ideal trajectory equations.

Type	Range (km)	Missile Weight (kg)	Time of Flight	Propellant	Examples
Tactical / Close-Range (CRBM / TBM)	< 300 (50–300)	1,000 – 5,000	5 – 15 min	Mostly Solid (instant launch)	MGM-140 ATACMS, Fateh-110, OTR-21 Tochka
Short-Range (SRBM)	300 – 1,000	3,000 – 10,000	10 – 20 min	Liquid (early), now mostly Solid	Scud-B, Prithvi-II
Medium-Range (MRBM)	1,000 – 3,000 (up to 3,500)	10,000 – 20,000	20 – 30 min	Liquid or Solid	Agni-II, Shahab-3, DF-21
Intermediate-Range (IRBM)	3,000 – 5,500	20,000 – 40,000	30 – 40 min	Mostly Solid, Multi-stage	Agni-IV, DF-26
Intercontinental (ICBM)	> 5,500 (up to 12,000+)	40,000 – 100,000+	30 – 45 min	Advanced Solid/Liquid, Multi-stage	Minuteman III, RS-28 Sarmat, DF-41

Simulation

Missile Weight (kg)

Target Range (km)

Prediction Summary

Missile Type

Launch Angle

Velocity

Flight Time

Max Height

Missile Classification Logic

CRBM: Range less than 300 km
SRBM: Range between 300 km and 1000 km
MRBM: Range between 1000 km and 3000 km
IRBM: Range between 3000 km and 5500 km
ICBM: Range above 5500 km

Observation

As the target range increases, the required initial velocity also increases.

Higher launch angles produce higher arcs and larger maximum heights.

Flight time increases as the projectile travels a longer path.

The trajectory follows a parabolic path under ideal projectile assumptions.

Weight does not directly affect the ideal motion equations in the present simplified model, but it remains a valuable parameter for future AI-based and engineering-level enhancements.