Foundations of Aerospace & Mechanical Engineering
Where continuum mechanics meets flight dynamics
The intersection of Mechanical and Aerospace engineering is defined by the study of systems that operate under extreme conditions. While Mechanical engineering focuses on the **internal** behavior of structures, materials, and thermal systems, Aerospace engineering extends these principles to the **external** environment—dealing with the fluids, forces, and orbits that define flight.
The Governing Pillars
At the core of these fields lie three fundamental domains that transform raw math into physical reality:
Dynamics & Control
Moving from basic Newtonian mechanics to 6-DOF (Six Degrees of Freedom) rigid body dynamics. This involves using state-space representation to stabilize satellites and aircraft.
Fluid Mechanics
The study of gas and liquid behavior. In Aerospace, this manifests as Aerodynamics, governed by the Navier-Stokes equations and Bernoulli's principle.
Thermodynamics
The science of energy conversion. This is the engine room of the field, covering everything from Brayton cycles in jet engines to the heat transfer in re-entry vehicles.
The Mathematical Bridge
Engineering is the application of differential equations to physical constraints. Whether it is the stress-strain relationship in a fuselage or the trajectory of a ballistic missile, we rely on the balance of forces:
These notes serve as a technical repository for the derivations, simulations, and principles I explore in my research. From the "tyranny of the rocket equation" to the stability of nonlinear attractors, this is where the theory meets the hardware.