SN 1572 (Tycho Brahe's supernova) clearly belongs to the Ia (thermonuclear) type. It was produced by the explosion of a white dwarf in a binary system. Its remnant has been the first of this type to ...be explored in search of a possible surviving companion, the mass donor that brought the white dwarf to the point of explosion. A high peculiar motion with respect to the stars at the same location in the Galaxy, mainly due to the orbital velocity at the time of the explosion, is a basic criterion for the detection of such companions. Radial velocities from the spectra of the stars close to the geometrical center of Tycho's supernova remnant, plus proper motions of the same stars, obtained by astrometry with the {\it Hubble Space Telescope}, have been used so far. In addition, a detailed chemical analysis of the atmospheres of a sample of candidate stars had been made. However, the distances to the stars, remained uncertain. Now, the Second {\it Gaia} Data Release (DR2) provides unprecedent accurate distances and new proper motions for the stars can be compared with those made from the {\it HST}. We consider the Galactic orbits that the candidate stars to SN companion would have in the future. We do this to explore kinematic peculiarity. We also locate a representative sample of candidate stars in the Toomre diagram. Using the new data, we reevaluate here the status of the candidates suggested thus far, as well as the larger sample of the stars seen in the central region of the remnant.
The Young Local Associations constitute an excellent sample for the study of a variety of astrophysical topics, especially the star formation process in low-density environments. Data from the Gaia ...mission allows us to undertake studies of the YLAs with unprecedented accuracy. We determine the dynamical age and place of birth of a set of associations in a uniform and dynamically consistent manner. There are nine YLAs in our sample \(\epsilon\) Chamaeleontis, TW Hydrae, \(\beta\) Pictoris, Octans, Tucana-Horologium, Columba, Carina, Argus and AB Doradus. We designed a method for deriving the dynamical age of the YLAs based on the orbital integration. It involves a strategy to account for the effect of observational errors and we tested it using mock YLAs. Finally, we applied it to our set of nine YLAs with astrometry from the first Gaia data release and complementary on-ground radial velocities from the literature. Our orbital analysis yields a first estimate of the dynamical age of 3\(^{+9}_{-0}\) Myr, 13\(^{+7}_{-0}\) Myr and 5\(^{+23}_{-0}\) Myr for \(\epsilon\) Cha, \(\beta\) Pict and Tuc-Hor, respectively. For four other associations (Oct, Col, Car and Arg), we provide a lower limit for the dynamical age. Our rigorous error treatment indicates that TW Hya and AB Dor deserve further study. Our dynamical ages are compatible spectroscopic and isochrone fitting ages obtained elsewhere. From the orbital analysis, we suggest a scenario with two episodes of star formation: one ~40 Myr ago in the first quadrant that gave birth to \(\epsilon\) Cha, TW Hya and \(\beta\) Pic, and another 5-15 Myr ago close to the Sun that formed Tuc-Hor, Col, and Car. Future Gaia data will provide the necessary accuracy to improve the present results, especially for the controversial age determinations, and additional evidence for the proposed scenario, once a complete census of YLAs and better membership can be obtained.
