Around 160 km, air stops behaving like a fluid.
Molecules travel farther between collisions than the spacecraft is wide. Continuum CFD no longer applies.
Free-molecular flow analysis and mission pre-design for very low Earth orbit. Panel method, gas–surface interaction models, results in seconds.
Molecules travel farther between collisions than the spacecraft is wide. Continuum CFD no longer applies.
Atmospheric molecules arrive at about 7.7 km/s. Each surface element exchanges momentum with them independently.
Summed over every panel, those impacts become drag, lift and torque — the numbers behind orbit lifetime and attitude control.
Drag to turn the Earth. Lower orbits are faster and meet denser air — that is where aerodynamics starts to decide mission life.
Circular two-body orbit around a spherical Earth (μ = 398 600.4418 km³/s², R = 6 378.137 km). Spacecraft not to scale.
The demo shows three CubeSat presets at every orientation, precomputed. With an invite code, the full engine runs on your own computer: every setting, your own geometry, sweeps on all cores.
Yaw −90° to +90° in 5° steps. All other parameters are held at the values captured when the sweep starts.
Satellite Aero’s own implementation of the Sentman free-molecular panel method, with Schamberg energy accommodation and Koppenwallner’s ½ correction. Each triangular panel contributes pressure and shear; forces and moments are summed about the selected centre of mass.
Panels hidden from the flow by other parts of the spacecraft are excluded, as are back-facing panels. Partial shading, secondary reflections, multiple gas species, atmospheric forecasting, orbital propagation, solar pressure and transitional flow are outside this preview’s scope. The specular option is a hyperthermal comparison. Refine your mesh and verify the free-molecular regime before using results in engineering studies.
By default the coefficients use Aref = half the total mesh area; the projected area can be selected instead. Forces use q = ½ρv². Coordinates are in metres; default flow is along −x, yaw rotates towards −y, and pitch towards −z.
Based on published theory: L. H. Sentman, Free molecule flow theory and its application to the determination of aerodynamic forces (1961); R. Schamberg, RAND Corporation (1959); G. Koppenwallner, Energy accommodation and momentum transfer modeling (2009). Results are exploratory and have not been independently validated.
Learn free-molecular aerodynamics with every model explained and referenced. Free access for classrooms is planned.
Check drag, torque and attitude sensitivity during pre-design, before committing to high-cost analysis tools.
Check very low orbit concepts with a credible pre-design step, early in the mission.
Request an invite code. It unlocks the full engine in your browser, running on your own computer. Occasional updates only.
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