Aerodynamics and Flight
Four forces of flight: lift, weight, thrust, drag. Bernoulli's principle: faster airflow → lower pressure → lift. Navier-Stokes equations: govern fluid flow (no general analytical solution — millennium problem). Reynolds number Re = ρvL/μ: laminar (Re < 5×10⁵) vs. turbulent flow. Airfoil design: camber, chord, angle of attack. Lift coefficient: C_L = L/(½ρv²S). Drag: parasitic (form + skin friction + interference) + induced (tip vortices). CFD (Computational Fluid Dynamics): numerical simulation using RANS, LES, DNS methods. Supersonic aerodynamics: shock waves, Mach cone, area rule (Whitcomb). Hypersonic (Mach 5+): aerodynamic heating, scramjet propulsion, thermal protection systems.
Propulsion Systems
Turbojet: intake → compressor → combustion → turbine → nozzle. Turbofan: bypass ratio determines efficiency vs. thrust (high bypass: fuel efficient for airliners, GE9X BPR 9:1). Turboprop: turbine drives propeller — efficient at low speeds (ATR 72). Ramjet: no moving parts, requires supersonic speed to compress air. Scramjet: supersonic combustion, Mach 5-15 range (NASA X-43A: Mach 9.6). Rocket propulsion: F = ṁ·v_e + (p_e - p_a)·A_e. Specific impulse Isp: efficiency measure (Raptor: 350s sea level). Solid rockets: SRBs, simple but not throttleable. Liquid rockets: LOX/LH₂ (RS-25), LOX/RP-1 (Merlin), LOX/CH₄ (Raptor). Ion propulsion: high Isp (3000-10000s), low thrust — deep space missions.
Orbital Mechanics
Kepler's laws: elliptical orbits, equal areas, T² ∝ a³. Vis-viva equation: v² = GM(2/r - 1/a). LEO: 200-2000 km altitude, 90-minute period. GEO: 35,786 km, 24-hour period — communications, weather. Hohmann transfer: minimum-energy orbit change (two impulsive burns). Gravity assists: using planetary gravity for velocity change (Voyager, New Horizons). Delta-v budget: sum of velocity changes for mission. Tsiolkovsky rocket equation: Δv = Isp·g₀·ln(m₀/m_f). Rendezvous and docking: relative orbital mechanics, phasing orbits. Orbital debris: Kessler syndrome risk, >36,000 tracked objects, collision avoidance maneuvers.
Spacecraft Design
Spacecraft subsystems: structure, thermal control, power (solar panels, RTG), attitude control (reaction wheels, thrusters), communications (high-gain antenna, DSN), command and data handling, propulsion. Thermal control: MLI (multi-layer insulation), radiators, heaters, heat pipes, louvers. Radiation hardening: electronics designed for space radiation (total ionizing dose, single event effects). Mass budget: every gram costs ~$2,700 to LEO (SpaceX Falcon 9). Structural design: aluminum-lithium alloys, CFRP, load path analysis. Testing: vibration (sine, random), thermal vacuum, acoustic, EMI/EMC. CubeSats: standardized small satellites (1U = 10×10×10 cm), democratizing space access.
Future of Aerospace
Sustainable aviation: SAF (Sustainable Aviation Fuel), hydrogen-powered aircraft (Airbus ZEROe), electric regional aircraft. Urban air mobility (UAM): eVTOL air taxis (Joby, Lilium, Archer). Supersonic comeback: Boom Overture (Mach 1.7, 2029 target). Reusable rockets: SpaceX Falcon 9 (200+ landings), Starship (fully reusable), Rocket Lab Neutron. Space stations: ISS (deorbit ~2030), Axiom commercial modules, China's Tiangong. Artemis program: return humans to Moon, Gateway station, eventually Mars. In-space manufacturing: 3D printing in microgravity, asteroid mining. Space-based solar power: beaming energy to Earth via microwave — Japan JAXA concept.
Try it live
Everything above runs in your browser — open Rocket Ascent & Staging and change the parameters while it is running. Nothing is installed, nothing is uploaded, the whole model lives in one tab.
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