Kepler and TESS Observations of PG 1159-035

PG 1159-035 is the prototype of DOV hot pre-white dwarf pulsators. It was observed during Kepler satellite K2 mission for 69 days in 59 s cadence mode and by TESS 25 20 mode. We present a detailed asteroseismic analysis those data. identify total 107 frequencies representing 32 l=1 modes, 27 12 l=2 8 combination frequencies. The modes with very high k values represent new detections. multiplet structure reveals an average splitting 4.0+/-0.4 muHz 6.8+/-0.2 l=2, indicating rotation period 1.4+/-0.1 region formation. In Fourier transform light curve, we find significant peak at 8.904+/-0.003 suggesting surface 1.299+/-0.002 days. also evidence that periods change on timescales shorter than predicted current evolutionary models. Our finds spacing 21.28+/-0.02 s. have mean 12.97+/-0.4 performed fit comparing best model has Teff=129600+/- 11100 K, mass M*=0.565+/-0.024 Msun, log g=7.41+0.38-0.54, within uncertainties spectroscopic determinations. argue future improvements models, e.g., overshooting He-burning stage, as best-fit does not predict excitation all pulsations detected PG~1159-03.