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Apsidal motion is a gradual shift in the position of periastron. The impactof dynamic tides on apsidal motion has long been debated, because thecontribution could not be quantified due to the lack of high qualityobservations. KIC 4544587 with tidally excited oscillations has been observedby \textit{Kepler} high-precision photometric data based on long time baselineand short-cadence schema. In this paper, we compute the rate of apsidal motionthat arises from the dynamic tides as $19.05\pm 1.70$ mrad yr$^{-1}$ viatracking the orbital phase shifts of tidally excited oscillations. We alsocalculate the procession rate of the orbit due to the Newtonian and generalrelativistic contribution as $21.49 \pm 2.8$ and $2.4 \pm 0.06$ mrad yr$^{-1}$,respectively. The sum of these three factors is in excellent agreement with thetotal observational rate of apsidal motion $42.97 \pm 0.18$ mrad yr$^{-1}$measured by eclipse timing variations. The tidal effect accounts for about 44\%of the overall observed apsidal motion and is comparable to that of theNewtonian term. Dynamic tides have a significant contribution to the apsidalmotion. The analysis method mentioned in this paper presents an alternativeapproach to measuring the contribution of the dynamic tides quantitatively.

The Measurement of Dynamic Tidal Contribution to Apsidal Motion in Heartbeat Star KIC 4544587