Astronomy · Unit 6: Life in the Universe & Exploration · Activity 6.1.1

Deep Dive: Finding the Unseen

🔬 Deep Dive
This is your textbook for this topic. Take your time. Read it more than once.
OpenStax Astronomy 2e · 21.4Concept

The Problem

Planets don't make their own light; they only reflect a little of their star's. Seen from light-years away, a planet like Earth would be billions of times fainter than the Sun and sit right beside it, lost in the glare — like trying to spot a firefly next to a searchlight from miles away.

So for a long time, nobody knew whether other stars had planets at all. The first confirmed exoplanets were found in 1992, orbiting a pulsar. In 1995, Michel Mayor and Didier Queloz found 51 Pegasi b, the first planet around a Sun-like star — work that earned the 2019 Nobel Prize in Physics. Today the count of confirmed exoplanets is past 5,000, and almost all of them were found without ever being seen. The trick is to stop looking for the planet and watch its star.

🔑There are two workhorse methods, and each measures something different. A transitgives a planet's size. A star's wobblegives its mass. Together they tell you what it's made of.
OpenStax Astronomy 2e · 21.4ConceptSkill

Transits

If a planet's orbit happens to be lined up edge-on from our point of view, the planet passes in front of its star once every orbit, blocking a tiny fraction of its light. A graph of the star's brightness over time — a light curve— shows a small, flat-bottomed dip each time. The time between dips is the planet's orbital period. The depth of the dip reveals the planet's size:

depth = (R_planet ÷ R_star)²

The depth is the fraction of the star's disk the planet covers. Jupiter is about a tenth of the Sun's width, so it would block about (0.1)² = 1% of the Sun's light. Earth, about 1/109 of the Sun's width, would block only about 0.0084% — 84 parts per million. That's why transit hunting takes space telescopes that can measure brightness with incredible steadiness: NASA's Kepler mission (2009–2018) found more than 2,600 planets this way, and TESS has been surveying nearly the whole sky since 2018.

Make a transit

Set a planet and a star, then slide the planet across. The graph on the right is the light curve a telescope would record — notice how the vertical axis zooms in on tiny dips.

Planet radius11.2 Earth radii
Star radius1.00 Sun radii
Planet position
star (to scale with the planet)100%98.94%time → (brightness axis zoomed in)
R_planet ÷ R_star = 0.1028depth = ratio² = 1.06%= 10,558 ppm
💡To find a planet's radius from a transit, run the formula backward: R_planet = R_star × √depth. A 1% dip (0.01) around a Sun-sized star means R_planet = 109 × √0.01 = 109 × 0.1 ≈ 11 Earth radii — Jupiter-sized. Small stars make transits easier to spot: an Earth-sized planet blocks a much bigger share of a tiny red dwarf.
OpenStax Astronomy 2e · 21.4Concept⚠ Watch Out

The Wobble

A planet doesn't simply orbit its star. The planet and the star both orbit their shared center of mass. The star is so much heavier that its orbit is tiny, but it's real: the star moves in a small circle, toward us and then away from us, over and over. You already know how to catch that motion. It's the Doppler shiftfrom Activity 5.2.1: the star's spectral lines slide slightly toward blue, then toward red, once per orbit. Measuring that back-and-forth speed is the radial-velocity method.

A heavier planet, or one closer in, tugs harder and makes a bigger wobble. Jupiter makes the Sun wobble by about 12.5 m/s, over a 12-year cycle. Earth makes it wobble by only about 9 centimeters per second. 51 Pegasi b, a giant planet orbiting its star every 4.2 days, produced a wobble of tens of meters per second — which is why it was found first.

Wobble a star

A planet and its star both orbit their shared center of mass. Change the planet's mass and distance and watch the star's wobble — its back-and-forth speed toward and away from us — grow or shrink.

Planet mass1.00 Jupiters
Orbit distance5.20 AU
moving away (redshift)moving toward us (blueshift)time → (two orbits shown)+12.5 m/s
wobble ≈ 12.5 m/s · period ≈ 11.9 years
✓ Detectable — today's best spectrographs can measure wobbles well below 1 m/s.

Assumes a Sun-mass star, a circular orbit, and an edge-on view.

⚠️Common mix-up: the radial-velocity method gives a minimum mass, not always the true mass. It only measures motion toward and away from us, so if an orbit is tilted, part of the wobble is hidden and the planet could be heavier than it looks. If the planet also transits, we know the orbit is edge-on, and the mass is pinned down.
OpenStax Astronomy 2e · 21.4, 21.5SkillExample

Putting Them Together

Each method alone tells only half the story. Size alone can't tell a dense rocky world from a fluffy one wrapped in gas; mass alone can't either. But mass ÷ volume is density— and density reveals what a planet is made of. In Earth units there's a shortcut:

density ≈ 5.51 g/cm³ × (mass in Earths) ÷ (radius in Earths)³

Weigh and measure a planet

Enter a planet's mass (from its wobble) and radius (from its transit), in Earth units.

density ≈ 5.51 × 1 ÷ 1³ ≈ 5.51 g/cm³
Rocky, like Earth — mostly rock and metal

For comparison: water is 1.0 g/cm³, rock about 3, Earth 5.5, Jupiter 1.3, Saturn 0.7.

Using both methods also guards against false alarms. A dip in starlight could come from something other than a planet — for example, two stars eclipsing each other in the background. A transit that repeats on schedule,plus a matching wobble with the same period, is strong confirmation that a planet is really there.

MethodWhat it measuresWhat it tells youNeeds
TransitDips in the star's brightnessPlanet radius; orbital periodAn orbit lined up edge-on from Earth
Radial velocityDoppler shifts of the star's linesPlanet (minimum) mass; orbital periodA big enough wobble to measure
Both—Density, and so compositionA planet that shows up in both
OpenStax Astronomy 2e · 21.4, 21.5Concept⚠ Watch Out

Easy to Find ≠ Common

Both methods favor the same kinds of planets: big ones (deeper dips, bigger wobbles) on short orbits (more transits and wobbles to catch in a short time). That's why the first exoplanets discovered were mostly hot Jupiters — giant planets orbiting closer to their stars than Mercury does to the Sun.

⚠️Common mix-up:hot Jupiters aren't the most common kind of planet — they're just the easiest to find. As instruments improved, surveys found that planets between the size of Earth and Neptune are far more common. It's a lesson in selection bias: what you find depends on what your method can see.

Other methods fill in the gaps. Direct imagingblocks a star's light to photograph large, young planets far from it. Gravitational microlensingcatches a planet's gravity briefly magnifying a background star. But transits and wobbles have found the large majority of known exoplanets.

🔑That answers the unit's first essential question. A repeating dip and a matching wobble, on the same period, are two independent measurements that only make sense if a planet is there. In Activity 6.1.2 you'll use these measurements to ask the next question: could any of these worlds support life?
← Back to Activity 6.1.1📝 Formative Activity →Up next: Activity 6.1.2, The Habitable Zone.