How Does Gravitational Microlensing Work?
The physics behind microlensing traces directly back to Einstein's General Theory of Relativity, published in 1915. One of Einstein's central insights was that mass warps the fabric of spacetime — and light, which travels through spacetime, must follow those curves. A massive object placed between an observer and a distant light source acts as a gravitational lens, bending and focusing the light from behind it. Einstein himself calculated in 1936 that if a foreground star passed almost exactly in front of a background star, the background star's light would be magnified. He thought the effect would never be observationally useful. He was wrong.
Step 1: The Alignment
A microlensing event begins when a foreground star (the "lens") drifts almost directly in front of a more distant background star (the "source") as seen from Earth. This is a random chance occurrence driven by the proper motion of stars in the galaxy. Because stars are moving relative to one another and relative to us, these alignments happen continuously — but for any given pair of stars, the probability is very low. You need to monitor millions of stars simultaneously to catch events as they occur.
Step 2: The Light Curve
As the lens star approaches the line of sight to the background source star, the source's apparent brightness increases smoothly and symmetrically, then decreases symmetrically as the lens passes. The shape of this brightening — called a Paczynski curve after Bohdan Paczynski who popularised the technique in 1986 — is precisely predicted by General Relativity. The brightening typically lasts days to weeks and can reach magnifications of 10 to 1,000 times the baseline brightness. Because the effect is purely gravitational, it works at any wavelength of light — infrared, visible, or even X-ray.
Step 3: The Planetary Spike
If the foreground lens star hosts a planet, that planet's own gravitational field creates a secondary perturbation in the light curve — a brief additional brightening or dimming that lasts hours to a few days, superimposed on the main bell-shaped event. The duration and shape of this "planetary anomaly" encodes the planet's mass ratio relative to its host star and its projected separation. Because the planetary spike is brief and unpredictable in timing, catching it requires continuous high-cadence monitoring — a major reason why dedicated survey telescopes and robotic alert systems are essential for modern microlensing science.
Step 4: Mass Measurement (The Space Advantage)
From the ground, you can measure the mass ratio of planet to star, but not the absolute masses. To get absolute masses, you need either a parallax measurement (observing the event from two different locations — e.g., Earth and a space telescope simultaneously) or to wait years until the lens and source stars have separated enough on the sky to be resolved individually with a high-resolution space telescope. Euclid is performing exactly this: revisiting past microlensing events discovered by ground surveys, and using its 0.1 arcsecond resolution to begin separating the lens and source stars — giving the first accurate mass census of microlensing host stars and their planets.
Key numbers to remember
- Main brightening event: days to weeks in duration
- Planetary spike: hours to days in duration
- Typical magnification: 10× to 1,000×
- Typical lens distance: 1–8 kiloparsecs (3,000–26,000 light-years)
- Detection probability per star: roughly 1 in a million per year — requiring surveys of 100+ million stars