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Here we present the asteroseismic detection of solar-like oscillations at 4-minute timescales (<jats:inline-formula>\n                     <jats:tex-math>\n\n<\/jats:tex-math>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msub>\n                           <mml:mi>\u03bd<\/mml:mi>\n                           <mml:mi>max<\/mml:mi>\n                        <\/mml:msub>\n                        <mml:mo>\u223c<\/mml:mo>\n                        <mml:mn>4300<\/mml:mn>\n                     <\/mml:math>\n                  <\/jats:inline-formula>\n                  <jats:italic>\u03bc<\/jats:italic>Hz) in the nearby K dwarf <jats:italic>\u03c3<\/jats:italic> Draconis using extreme-precision Doppler velocity observations from the Keck Planet Finder and 20 s cadence photometry from NASA\u2019s Transiting Exoplanet Survey Satellite. The star is the coolest dwarf star to date with both velocity and luminosity observations of solar-like oscillations, having amplitudes of 5.9 \u00b1 0.8 cm s<jats:sup>\u22121<\/jats:sup> and 0.8 \u00b1 0.2 ppm, respectively. These measured values are in excellent agreement with established luminosity\u2212velocity amplitude relations for oscillations and provide further evidence that mode amplitudes for stars with <jats:italic>T<\/jats:italic>\n                  <jats:sub>eff<\/jats:sub> &lt; 5500 K diminish in scale following an (<jats:italic>L<\/jats:italic>\/<jats:italic>M<\/jats:italic>)<jats:sup>1.5<\/jats:sup> relation. By modeling the star\u2019s oscillation frequencies from photometric data, we measure an asteroseismic age of 4.5 \u00b1 0.9 (ran) \u00b1 1.2 (sys) Gyr. The observations demonstrate the capability of next-generation spectrographs and precise space-based photometry to extend observational asteroseismology to nearby cool dwarfs, which are benchmarks for stellar astrophysics and prime targets for directly imaging planets using future space-based telescopes.<\/jats:p>","DOI":"10.3847\/1538-4357\/ad76a9","type":"journal-article","created":{"date-parts":[[2024,10,30]],"date-time":"2024-10-30T16:08:02Z","timestamp":1730304482000},"page":"147","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":13,"title":["Asteroseismology of the Nearby K Dwarf \u03c3 Draconis Using the Keck Planet Finder and 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