Vulcan Integration (Engineering Library)

Related: 07_janus_integration.md | 01_core_philosophy.md | 12_force_aggregation.md

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Vulcan is the domain-specific engineering library that sits between Janus (Math) and Icarus (Architecture).

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1. Division of Responsibility: "Bricks vs. Houses"

• Janus: The Math (Matrices, Autodiff, Solvers).
• Vulcan: The Physics Utilities (Stateless). Pure functions for dynamics, atmospherics, gravity. No internal state.
• Icarus: The Systems & State (Stateful). Owns Component lifecycle, state vectors, and signal wiring.

Feature	Vulcan (Utility)	Icarus (Component)
Equations of Motion	Provides compute_6dof_derivatives(), RigidBodyState, MassProperties. Pure physics math for $ {v} = F/m - \omega \times v$ and Euler's equations.