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Aerospace Engineering & Orbital Mechanics

From Newton's cannonball to a Hohmann transfer orbit — gravity shapes everything in space. Explore gravitational dynamics, multi-body chaos, binary star systems and the clockwork precision of our solar system.

8 simulations Three.js · Canvas 2D Kepler · N-Body · Verlet

Category Simulations

Gravity at every scale — from binary stars to solar systems

Orbital mechanics is Newton's law of gravitation taken seriously. Two bodies follow perfect conics; add a third and chaos emerges. The N-body problem has no general closed-form solution — every planetary forecast is a numerical integration racing against accumulating error.

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★★☆ Moderate
Solar System
All eight planets plus dwarf planets orbiting the Sun with real semi-major axes, eccentricities and inclinations. Toggle orbit trails, scale the distances logarithmically, and fast-forward centuries to watch resonances and conjunctions align.
Three.js Keplerian Orbits Eccentricity Log Scale
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★★☆ Moderate
Orbital Mechanics Sandbox
Interactive 2D orbital simulator — launch a spacecraft, fire retrograde burns, demonstrate Hohmann transfers, and explore Lagrange points in the Earth-Moon system. Δv budget shown in real time.
Canvas 2D Hohmann Transfer Δv Budget Lagrange Points
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★★☆ Moderate
Binary Star System
Two gravitationally bound stars orbiting their common barycentre. Adjust mass ratio from equal twins to extreme (neutron star + giant) and watch the orbit morph from circular to highly eccentric. Add a test particle to reveal chaotic regions.
Canvas 2D Barycentre Mass Ratio Eccentricity
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★★★ Advanced
N-Body Gravity
Direct O(N²) gravitational simulation with Velocity Verlet integration and softened potential to avoid singularities. Spawn hundreds of bodies and watch galaxy-like structures, ejections and three-body choreographies emerge.
Canvas 2D Velocity Verlet Softening Barnes-Hut
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★★☆ Moderate
Rocket Launch (Tsiolkovsky)
Two-stage rocket with live Tsiolkovsky Δv budget. Adjust specific impulse, propellant fraction and payload mass — see how mass ratio and staging determine whether you reach Low Earth Orbit.
Canvas 2D Tsiolkovsky Staging Gravity Turn
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★★★ Advanced
Atmospheric Re-entry
Capsule descends from LEO at 7 800 m/s. Entry angle determines survival: too shallow and it skips out; too steep and aerodynamic heating and g-forces become lethal. Compare ballistic vs lifting trajectories.
Canvas 2D Drag Heating Entry Angle
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New ★★☆ Moderate
Orbital Maneuvers
Plan a two-burn Hohmann transfer between circular Earth orbits. Use the vis-viva equation to compute Δv budgets and transfer times. Watch the animated spacecraft arc from LEO to GEO.
Canvas 2D Hohmann Δv Budget Vis-Viva
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New ★★☆ Moderate
Moon Landing
Fly an Apollo-style lunar module to a soft touchdown. Manage throttle and gimbal with real Isp = 311 s and Moon gravity 1.62 m/s². Land on the pad — or crater the surface.
Canvas 2D Apollo Isp Lunar Gravity
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New ★★☆ Moderate
NACA Airfoil
Generate any NACA 4-digit wing profile and visualise lift, drag and pressure distribution using thin airfoil theory. Tune camber, thickness and angle of attack — watch stall happen in real time.
Canvas 2D NACA Aerodynamics Thin Airfoil Theory
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New ★★☆ Moderate
Asteroid Deflection
Fire a kinetic impactor at an Earth-crossing asteroid and watch RK4 orbital mechanics redirect its path. Choose Δv, direction and launch timing — will it miss Earth?
Canvas 2D Orbital Mechanics Kinetic Impactor Planetary Defense
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New ★★☆ Moderate
Solar Sail
Photon radiation pressure spirals a reflective sail outward from Earth orbit. RK4 integration in AU/year units. Adjust area, mass and pitch angle to escape the inner solar system.
Canvas 2D RK4 Photon Pressure Orbital Mechanics

Key Concepts

The mathematics of spaceflight

Kepler's Laws
Orbits are ellipses with the central body at one focus; equal areas swept in equal times (conservation of angular momentum); period² ∝ semi-major axis³.
Tsiolkovsky Equation
Δv = Isp·g₀·ln(m₀/m_f). Specific impulse (Isp) and mass ratio completely determine a rocket's capability. This is why staging exists — discarding empty tanks increases mass ratio.
Hohmann Transfer
The most fuel-efficient two-impulse manoeuvre between circular coplanar orbits. Two burns tangent to the orbit change apoapsis and periapsis with minimum Δv expenditure.
Lagrange Points
Five equilibrium positions in a two-body system where gravitational and centrifugal forces balance. L4 and L5 are stable (Trojan asteroids); L1, L2, L3 are unstable saddle points.

Learning Resources

Explore orbital mechanics in depth

Article Solar System & Kepler's Laws Elliptical orbits, orbital elements, perihelion precession, resonances and how Kepler's empirical laws follow from Newton's gravity. → Article N-Body Gravitational Simulation Direct summation, Barnes-Hut tree, softened potential and symplectic integrators that conserve energy over long timescales. → Article Verlet Integration Symplectic Euler vs Velocity Verlet, time-reversibility, energy drift in long orbital simulations and the Leapfrog scheme. →

Neighbouring disciplines in physics and engineering

About Aerospace Engineering Simulations

Orbital rockets, atmospheric flight, aerodynamics, and re-entry — modelled

Aerospace engineering simulations model the physics of vehicles operating at the extremes of speed and altitude. Orbital mechanics simulators compute Hohmann transfer orbits, gravity assists, and orbital rendezvous procedures using two-body Keplerian dynamics and three-body perturbation theory. Rocket staging models calculate Δv budgets from the Tsiolkovsky rocket equation across multiple stages and propellant types.

Aerodynamics simulations model lift-to-drag polar curves for airfoil profiles and compute pressure distributions at varying angle-of-attack and Mach number using panel-method discretisation. Re-entry heating simulations model stagnation-point heat flux as a function of velocity and altitude, explaining the design requirements for heat shields. These models reflect the mathematical core of aerospace engineering education and are used in conceptual design and mission-planning tools.

Each simulation in this category is built with accuracy and interactivity in mind. The underlying mathematical models are the same ones used in academic research and professional engineering — just made accessible through a web browser. Changing parameters in real time and observing the results is one of the most effective ways to build intuition for complex scientific and engineering concepts.

Frequently Asked Questions

Common questions about this simulation category

What simulations are in the Aerospace category?
The aerospace category includes orbital mechanics, N-body gravity, rocket physics (Tsiolkovsky equation), aerofoil lift (Bernoulli + Kutta-Joukowski), binary star systems, and atmospheric re-entry simulations.
Do I need to install anything to run these simulations?
No. All simulations run directly in the browser using WebGL and Canvas 2D — nothing to download or install.
Can these be used for university aerospace courses?
Yes — the orbital mechanics and aerofoil simulations are designed for educational use at university level and support hands-on exploration of the underlying equations.