An exoplanet is a planet outside the Solar system; here the focus is on planets orbiting stars other than the Sun, including pulsars. Most exoplanets are detected indirectly: a star's changing Doppler shift reveals its motion, or a small dip in its light curve reveals an exoplanet transit. The striking idea is that an unresolved point of light can tell us about an otherwise unseen world's mass, radius, and orbit.
The measurements answer different questions. Exoplanet transit photometry primarily gives a radius ratio, while Doppler spectroscopy constrains mass together with orbital inclination. Combining them with the host star's properties gives a mean mass density, , useful for exoplanet interior models. Even this combination does not uniquely determine composition: see exoplanet interior-composition degeneracy. Transit spectroscopy and an exoplanet secondary eclipse then probe an exoplanet atmosphere.
The discovery history has two distinct milestones. In 1992 Aleksander Wolszczan and Dale Frail reported two planet-mass companions to the pulsar PSR B1257+12 from periodic changes in pulse arrival times; their paper also suggested an additional companion. These were the first confirmed exoplanet discoveries, around a neutron star. [ref]
https://www.nature.com/articles/355145a0. Wolszczan and Frail (1992)
. Wolszczan's contemporary conference account, archived by NASA, likewise distinguishes the two reported companions from a possible third. [ref]https://ntrs.nasa.gov/citations/19920021993. Wolszczan (1992), NASA archive
.In 1995 Michel Mayor and Didier Queloz discovered 51 Pegasi b through Doppler spectroscopy, the landmark first confirmed exoplanet around a Sun-like star. This was a hot Jupiter, not the first exoplanet of every kind: the earlier pulsar discoveries belong to a different host category. [ref]
https://doi.org/10.1038/378355a0. Mayor and Queloz (1995)
. NASA's contemporary account describes the confirmation and the approximately four-day orbital period. [ref]https://science.nasa.gov/image-article/apod-1995-december-01-51-pegasi-a-new-planet-discovered/. NASA account (December 1995)
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