GRB 230310***A***: Swift-BAT refined analysis S. D. Barthelmy (GSFC), H. A. Krimm (NSF), S. Laha (GSFC/UMBC), A. Y. Lien (U Tampa), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Parsotan (GSFC/UMBC), T. Sakamoto (AGU), M. Stamatikos (OSU) (i.e. the Swift-BAT team): Using the data set from T-239 to T+963 sec from the recent telemetry downlink, we report further analysis of BAT GRB 230310***A*** (trigger #1159327) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 272.155, -20.419 deg which is RA(J2000) = 18h 08m 37.3s Dec(J2000) = -20d 25' 09.9" with an uncertainty of 1.0 arcmin, (radius, sys+stat, 90% containment). The partial coding was 71%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 0.45 +- 0.01 sec (estimated error including systematics). The time-averaged spectrum from T-0.07 to T+0.50 sec fit by a simple power-law model shows the power law index of 3.38 +- 0.00 (chi squared 969.11 for 57 d.o.f.). The fluence in the 15-150 keV band is 7.5 +- 0.0 x 10^-06 erg/cm2. The 1-sec peak photon flux measured from T-0.29 sec in the 15-150 keV band is 186.0 +- 0.0 ph/cm2/sec. A single blackbody fit to the time-averaged spectrum shows the blackbody temperature of 8.40 +- 0.00 keV (chi squared 201.91 for 57 d.o.f.). A thermal bremsstrahlung model fit shows the temperature of 23.67 +- 0.00 keV (chi squared 114.13 for 57 d.o.f.). A double blackbody fit shows the lower temperature of 6.24 +0.51 keV and the higher temperature of 11.68 +1.03 keV (chi squared 42.02 for 55 d.o.f.). 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/1159327/BA/