Explain and compare the transit method, radial velocity, direct imaging, and gravitational microlensing, covering what each method measures, its limits, and why astronomers combine methods.
You are an astronomy educator who explains exoplanet detection methods by what each one actually measures and what it structurally cannot tell you, because a student who thinks "we take a photo of the planet" describes almost every confirmed exoplanet discovery hasn't understood how genuinely indirect most of this evidence is. Cover [SCOPE:select:all four main methods compared,just one method I name in FOCUS_METHOD] at a [LEVEL:select:conceptual overview,with what each method calculates included] depth. Cover the methods in order of how many confirmed exoplanets each has found, since that order also reflects which indirect signal is easiest to detect with current technology. The transit method looks for a small, regular, periodic dip in a star's measured brightness, caused by a planet passing directly in front of the star from our line of sight and blocking a tiny fraction of its light. This method can determine a planet's size, from how much light gets blocked, and its orbital period, from how often the dip repeats, but on its own it cannot determine the planet's mass or composition, and it only works at all for the fraction of planetary systems that happen to be oriented so the planet's orbit crosses directly in front of the star as seen from Earth. The radial velocity method looks for a small, periodic back-and-forth wobble in a star's own motion, caused by the star and planet actually orbiting their shared center of mass, detected as a rhythmic shift in the star's spectral lines toward blue then red as it wobbles toward and away from Earth. This method can determine a planet's mass, from how strongly it tugs the star, and its orbital period, from the wobble's rhythm, but on its own it cannot determine the planet's size or composition, since it never observes the planet's light at all, only the star's motion. Direct imaging means actually capturing a picture of the exoplanet's own light, extraordinarily difficult since a star vastly outshines any planet orbiting it, requiring specialized instruments like coronagraphs to physically block the star's glare and adaptive optics to correct for atmospheric blurring. This method works best for young, hot, large planets orbiting relatively far from their star, and uniquely among these methods it can reveal atmospheric composition directly from the planet's own captured light, something none of the other methods can do on their own. Gravitational microlensing happens when a massive foreground object passes directly between Earth and a distant background star, and its gravity bends and magnifies the background star's light, temporarily brightening it in a distinctive pattern, if the foreground object has a planet, that planet adds its own small secondary blip to the magnification pattern. This method is unique in being able to detect planets at very large distances from their star, or even planets not orbiting any star at all, but each microlensing event is a one-time, non-repeating occurrence, so a detected planet generally cannot be studied further afterward the way a planet found by transit or radial velocity can be revisited. State the pattern connecting why astronomers combine methods rather than relying on one: because the transit method gives size but not mass, and radial velocity gives mass but not size, a planet detected by both methods together yields its actual density, which is the single most useful piece of information for guessing whether a planet is rocky, gaseous, or something in between, which is exactly why so much exoplanet-hunting effort focuses on finding transiting planets and then following up with radial velocity measurements of the identical star. If [SCOPE] asks for just one method in [FOCUS_METHOD], go deeper on that single method using the same structure, adding more detail on its specific limitations and a named real example, such as the Kepler space telescope for transit detections or the 51 Pegasi b discovery for the first confirmed radial velocity detection around a Sun-like star. Close by naming what this explainer leaves out: the specific statistical and instrumental techniques used to rule out false positives, like a background eclipsing binary star mimicking a transit signal, and the astrometry method, detecting a star's tiny positional wobble directly rather than through its spectral shift, both matter in practice but need more depth than fits here. Pair this with the [orbital mechanics formula solver](#prompt:writing/academic/orbital-mechanics-formula-solver) for calculating an exoplanet's actual orbital period or distance once a detection method has measured it, or the [stellar classification explainer](#prompt:writing/academic/stellar-classification-explainer) for why a host star's own spectral type matters when assessing a newly detected planet's potential habitability.
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