Photon pressure: force from reflected light
Light carries momentum p = E/c. When a photon reflects off a mirror-like sail rather than being absorbed, it reverses direction and transfers roughly twice its momentum to the sail — the same principle behind an optical tweezer, scaled up to a spacecraft. At 1 AU, a perfectly reflecting sail feels only about 9.08 μN per square metre — tiny, roughly the weight of a paperclip spread over a 1,000 m² sail — but applied continuously for months, that impulse adds up into a genuine, propellant-free orbital manoeuvre.
The lightness number: thrust versus gravity
The key figure of merit for any sail design is the lightness number β — the ratio of radiation-pressure acceleration to the Sun's gravitational acceleration on the same spacecraft. Because both forces fall off as 1/r², distance from the Sun cancels out of the ratio, leaving β proportional purely to the sail's area-to-mass ratio (its "areal density"). LightSail 2, at roughly 32 g/m², achieves β ≈ 0.001–0.005 — a slow spiral. A β of 1 means radiation pressure exactly cancels solar gravity; advanced graphene or diffractive sail concepts, at under 1 g/m², target β approaching or exceeding 1, at which point a sail could escape the Sun's gravity entirely, unpowered.
P = 2S/c (S = solar constant ≈ 1361 W/m², c = 3×10⁸ m/s) → P ≈ 9.08 μN/m² F = P · A · cos²θ (θ = tilt angle from Sun-line) Optimal tilt for max tangential thrust: θ = arccos(1/√3) ≈ 35.26°
Steering by tilt, not by "reverse thrust"
A sail can only push, never pull — it can't fire "backward" against orbital motion the way a rocket can. Instead, orbit raising and lowering come entirely from how the tilt angle splits the reflected force into a component along the direction of motion versus perpendicular to it: tilt one way and the tangential component adds orbital energy every pass, spiralling the spacecraft outward; tilt the other way and it removes energy, spiralling inward, even though the radial push always still points away from the Sun. Because the reflected force scales as cos²θ, there's a single optimal tilt — about 35.26° from normal — that maximises the tangential thrust component and the fastest energy gain per unit time. This scheduled tilt-flipping through an orbit is called orbit cranking: since both force and orbital speed fall with distance, outward spirals naturally slow down the farther out they go, so transfers to the outer planets take years rather than days — a pure trade of time for zero propellant mass.
Flown missions
This isn't just theory. IKAROS (JAXA, 2010) was the first spacecraft to demonstrate solar-sail propulsion in interplanetary space, using a 200 m² sail with embedded liquid-crystal panels for active tilt steering. LightSail 2 (The Planetary Society, 2019), a CubeSat with a 32 m² Mylar sail, demonstrated measurable orbit-raising through active tilt scheduling tied to orbital position, confirmed by tracked altitude gain. The planned NEA Scout mission would use an 86 m² sail to reach a near-Earth asteroid with no chemical propulsion stage at all, while the Breakthrough Starshot concept proposes ultra-thin, laser-driven (not solar-driven) sails to push a probe toward a meaningful fraction of light speed — the same photon-pressure physics taken to an extreme.
Frequently asked questions
How does a solar sail generate thrust without propellant?
Photons carry momentum, and when they reflect off a sail's surface they transfer roughly twice that momentum to the sail. The force per square metre is tiny — about 9 micronewtons per square metre at Earth's distance from the Sun for a perfect reflector — but a large, lightweight sail accumulates it continuously, with no propellant mass ever expended.
How does tilting a solar sail raise or lower an orbit?
Tilting the sail relative to the Sun-sail line splits the radiation force into a component along the direction of motion and a component perpendicular to it. A tilt that adds thrust along the direction of motion increases orbital energy over time, spiralling the spacecraft outward; the opposite tilt spirals it inward, even though the sail can never push directly toward the Sun.
What is the lightness number of a solar sail?
The lightness number (beta) is the ratio of radiation pressure force to the Sun's gravitational force on the same spacecraft. A beta of 1 means radiation pressure exactly cancels gravity. Real flown sails like LightSail 2 have beta around 0.001-0.01; advanced interstellar sail concepts target beta near or above 1 using extremely thin, large sails.
Try it live
Everything above runs in your browser — open Solar Sail, adjust sail area, mass and pitch angle, and watch an RK4-integrated spacecraft spiral outward from Earth orbit on radiation pressure alone. Nothing is installed, nothing is uploaded.
▶ Open Solar Sail simulation