GRB 060602***A***, Swift-BAT refined analysis S. D. Barthelmy (GSFC), W. H. Baumgartner (GSFC/UMBC), J. R. Cummings (GSFC/UMBC), N. Gehrels (GSFC), H. A. Krimm (GSFC/USRA), A. Y. Lien (GSFC/UMBC), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Sakamoto (AGU), M. Stamatikos (OSU), T. N. Ukwatta (LANL) (i.e. the Swift-BAT team): Using the data set from T-240 to T+722 sec from the recent telemetry downlink, we report further analysis of BAT GRB 060602***A*** (trigger #213180) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 149.581, 0.312 deg which is RA(J2000) = 09h 58m 19.5s Dec(J2000) = +00d 18' 44.3" with an uncertainty of 1.6 arcmin, (radius, sys+stat, 90% containment). The partial coding was 43%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 74.8 +- 13.0 sec (estimated error including systematics). The time-averaged spectrum from T+2.1 to T+84.7 sec is best fit by a simple power-law model. The power law index of the time-averaged spectrum is 1.22 +- 0.16. The fluence in the 15-150 keV band is 1.6 +- 0.2 x 10^-06 erg/cm2. The 1-sec peak photon flux measured from T+4.93 sec in the 15-150 keV band is 0.6 +- 0.2 ph/cm2/sec. All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/213180/BA/