IOTA/IOTA-ES occultation update for (747) Winchester / TYC 0059-01909-1 event on 2021 Feb 22, 23:17 UT Visible from South America Summary ------- On 2021 Feb 22 UT, the 168.6 km diameter asteroid (747) Winchester will occult a 10.7 mag star in the constellation Cetus for observers along a path across South America. In the case of an occultation, the combined light of the asteroid and the star will drop by 1.76 mag to 12.18 mag (the magnitude of the asteroid) for at most 5.3 seconds. This update is based on UNSO/Flagstaff astrometry for the asteroid kindly provided by Hugh Harris, astrometry for the asteroid kindly provided by Bill Owen, astrometry for the asteroid kindly provided by the IAU Minor Planet Center. This work has made use of data from the European Space Agency (ESA) mission Gaia (http://www.cosmos.esa.int/gaia), processed by the Gaia Data Processing and Analysis Consortium (DPAC, http://www.cosmos.esa.int/web/gaia/dpac/consortium). Funding for the DPAC has been provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement. The event at a glimpse ---------------------- * Rank: 100 * date and approx. time of event: 2021 Feb 22, 23:14 - 2021 Feb 22, 23:20 * geocentric midpoint of event [JD]: 2459268.47060417 * magnitude of target star: 10.66 * magnitude drop [mag]: 1.76 * estimated maximum duration [s]: 5.3 * Moon: 79 % sunlit, 54° distance * Sun: 74° distance * rough path description: South America The occultation path -------------------- * approximate projected width [km]: 180 * 1 sigma uncertainty interval [path widths]: +/- 0.07 * 1 sigma uncertainty interval [seconds]: +/- 0.9 * 1 sigma uncertainty interval approx RA,DE ["]: (+/- 0.019, +/- 0.009) * 1 sigma uncertainty ellipse (major, minor, PA): (0.020", 0.007", 72°) * approx speed of asteroid's shadow [km/s]: 31.9043 * website for maps: http://www.asteroidoccultation.com Path Coordinates: Occultation of TYC 0059-01909-1 by 747 Winchester on 2021 Feb 22 Centre Star Star Sun Path Limits Error Limits Alt E. Longitude Latitude U.T. Alt Az Alt Limit 1 Limit 2 Limit 3 Limit 4 Crn o ' " o ' " h m s o o o o ' " o ' " o ' " o ' " Latitude Latitude Latitude Latitude -178 0 0 -51 45 49 23 14 32.9 0 85 47 -52 34 40 -50 57 13 -52 41 53 -50 50 5 .... -177 0 0 -51 42 7 23 14 32.9 1 84 47 -52 31 0 -50 53 28 -52 38 14 -50 46 19 0.18 -176 0 0 -51 38 2 23 14 33.0 1 83 47 -52 26 59 -50 49 20 -52 34 13 -50 42 11 0.26 -175 0 0 -51 33 35 23 14 33.0 2 82 48 -52 22 35 -50 44 50 -52 29 50 -50 37 41 0.29 -174 0 0 -51 28 46 23 14 33.1 3 81 48 -52 17 49 -50 39 58 -52 25 5 -50 32 47 0.31 -173 0 0 -51 23 34 23 14 33.3 3 81 48 -52 12 42 -50 34 42 -52 19 57 -50 27 31 0.32 -172 0 0 -51 18 0 23 14 33.4 4 80 48 -52 7 11 -50 29 4 -52 14 28 -50 21 52 0.33 -171 0 0 -51 12 3 23 14 33.6 5 79 48 -52 1 19 -50 23 2 -52 8 36 -50 15 50 0.33 -170 0 0 -51 5 43 23 14 33.8 5 78 49 -51 55 4 -50 16 38 -52 2 21 -50 9 25 0.33 -169 0 0 -50 59 0 23 14 34.0 6 78 49 -51 48 25 -50 9 50 -51 55 44 -50 2 36 0.34 -168 0 0 -50 51 54 23 14 34.3 6 77 49 -51 41 24 -50 2 38 -51 48 44 -49 55 24 0.34 -167 0 0 -50 44 24 23 14 34.5 7 76 49 -51 34 0 -49 55 3 -51 41 21 -49 47 48 0.34 -166 0 0 -50 36 31 23 14 34.9 8 75 49 -51 26 13 -49 47 5 -51 33 34 -49 39 49 0.34 -165 0 0 -50 28 14 23 14 35.2 8 74 49 -51 18 2 -49 38 42 -51 25 24 -49 31 25 0.34 -164 0 0 -50 19 34 23 14 35.6 9 74 50 -51 9 28 -49 29 55 -51 16 51 -49 22 38 0.35 -163 0 0 -50 10 29 23 14 36.0 10 73 50 -51 0 30 -49 20 44 -51 7 54 -49 13 25 0.35 -162 0 0 -50 1 0 23 14 36.4 10 72 50 -50 51 8 -49 11 8 -50 58 32 -49 3 49 0.35 -161 0 0 -49 51 7 23 14 36.9 11 71 50 -50 41 21 -49 1 8 -50 48 47 -48 53 48 0.35 -160 0 0 -49 40 48 23 14 37.4 12 71 50 -50 31 10 -48 50 43 -50 38 37 -48 43 21 0.35 -159 0 0 -49 30 5 23 14 37.9 12 70 50 -50 20 35 -48 39 53 -50 28 3 -48 32 30 0.35 -158 0 0 -49 18 57 23 14 38.4 13 69 50 -50 9 35 -48 28 37 -50 17 4 -48 21 13 0.35 -157 0 0 -49 7 24 23 14 39.0 14 68 50 -49 58 9 -48 16 56 -50 5 40 -48 9 31 0.35 -156 0 0 -48 55 25 23 14 39.6 14 67 50 -49 46 19 -48 4 49 -49 53 50 -47 57 22 0.35 -155 0 0 -48 43 0 23 14 40.3 15 67 50 -49 34 2 -47 52 16 -49 41 35 -47 44 48 0.35 -154 0 0 -48 30 10 23 14 41.0 16 66 50 -49 21 20 -47 39 16 -49 28 54 -47 31 48 0.35 -153 0 0 -48 16 53 23 14 41.7 17 65 50 -49 8 12 -47 25 51 -49 15 48 -47 18 21 0.35 -152 0 0 -48 3 9 23 14 42.5 17 64 50 -48 54 38 -47 11 58 -49 2 15 -47 4 27 0.35 -151 0 0 -47 48 59 23 14 43.3 18 64 50 -48 40 37 -46 57 39 -48 48 15 -46 50 7 0.35 -150 0 0 -47 34 22 23 14 44.1 19 63 50 -48 26 9 -46 42 53 -48 33 49 -46 35 19 0.35 -149 0 0 -47 19 18 23 14 45.0 19 62 50 -48 11 15 -46 27 39 -48 18 56 -46 20 4 0.35 -148 0 0 -47 3 46 23 14 45.9 20 61 50 -47 55 53 -46 11 58 -48 3 35 -46 4 21 0.35 -147 0 0 -46 47 47 23 14 46.9 21 61 50 -47 40 3 -45 55 48 -47 47 47 -45 48 10 0.35 -146 0 0 -46 31 19 23 14 47.9 22 60 50 -47 23 46 -45 39 11 -47 31 32 -45 31 32 0.35 -145 0 0 -46 14 24 23 14 48.9 22 59 50 -47 7 1 -45 22 6 -47 14 48 -45 14 25 0.35 -144 0 0 -45 57 0 23 14 50.0 23 58 50 -46 49 47 -45 4 31 -46 57 36 -44 56 49 0.35 -143 0 0 -45 39 8 23 14 51.1 24 57 49 -46 32 6 -44 46 29 -46 39 56 -44 38 45 0.36 -142 0 0 -45 20 46 23 14 52.3 25 57 49 -46 13 55 -44 27 57 -46 21 47 -44 20 11 0.36 -141 0 0 -45 1 56 23 14 53.5 25 56 49 -45 55 15 -44 8 56 -46 3 9 -44 1 9 0.36 -140 0 0 -44 42 36 23 14 54.8 26 55 49 -45 36 7 -43 49 26 -45 44 2 -43 41 37 0.36 -139 0 0 -44 22 47 23 14 56.1 27 54 49 -45 16 29 -43 29 26 -45 24 25 -43 21 36 0.36 -138 0 0 -44 2 29 23 14 57.4 28 54 48 -44 56 21 -43 8 56 -45 4 19 -43 1 4 0.36 -137 0 0 -43 41 40 23 14 58.8 28 53 48 -44 35 44 -42 47 57 -44 43 44 -42 40 3 0.36 -136 0 0 -43 20 22 23 15 0.3 29 52 48 -44 14 37 -42 26 28 -44 22 38 -42 18 32 0.36 -135 0 0 -42 58 33 23 15 1.8 30 51 48 -43 52 59 -42 4 28 -44 1 2 -41 56 31 0.36 -134 0 0 -42 36 15 23 15 3.4 31 50 47 -43 30 52 -41 41 58 -43 38 57 -41 34 0 0.36 -133 0 0 -42 13 25 23 15 5.0 32 50 47 -43 8 14 -41 18 58 -43 16 20 -41 10 58 0.36 -132 0 0 -41 50 6 23 15 6.6 32 49 47 -42 45 5 -40 55 27 -42 53 14 -40 47 26 0.36 -131 0 0 -41 26 16 23 15 8.3 33 48 46 -42 21 27 -40 31 26 -42 29 36 -40 23 23 0.36 -130 0 0 -41 1 55 23 15 10.1 34 47 46 -41 57 17 -40 6 55 -42 5 29 -39 58 50 0.36 -129 0 0 -40 37 4 23 15 12.0 35 46 45 -41 32 37 -39 41 52 -41 40 50 -39 33 46 0.36 -128 0 0 -40 11 42 23 15 13.8 36 46 45 -41 7 26 -39 16 20 -41 15 41 -39 8 12 0.36 -127 0 0 -39 45 49 23 15 15.8 37 45 45 -40 41 44 -38 50 16 -40 50 1 -38 42 7 0.36 -126 0 0 -39 19 26 23 15 17.8 38 44 44 -40 15 32 -38 23 43 -40 23 50 -38 15 32 0.36 -125 0 0 -38 52 33 23 15 19.9 38 43 44 -39 48 49 -37 56 39 -39 57 9 -37 48 26 0.36 -124 0 0 -38 25 9 23 15 22.0 39 42 43 -39 21 36 -37 29 5 -39 29 57 -37 20 51 0.36 -123 0 0 -37 57 15 23 15 24.2 40 41 43 -38 53 53 -37 1 0 -39 2 15 -36 52 45 0.36 -122 0 0 -37 28 51 23 15 26.4 41 41 42 -38 25 39 -36 32 26 -38 34 3 -36 24 9 0.36 -121 0 0 -36 59 57 23 15 28.7 42 40 42 -37 56 55 -36 3 23 -38 5 21 -35 55 4 0.36 -120 0 0 -36 30 34 23 15 31.1 43 39 41 -37 27 41 -35 33 50 -37 36 9 -35 25 30 0.36 -119 0 0 -36 0 41 23 15 33.5 44 38 40 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28 37 -30 34 26 -28 20 3 0.36 -106 0 0 -28 51 32 23 16 10.9 56 24 31 -29 50 24 -27 53 7 -29 59 6 -27 44 33 0.36 -105 0 0 -28 15 47 23 16 14.2 56 22 30 -29 14 42 -27 17 17 -29 23 26 -27 8 42 0.36 -104 0 0 -27 39 42 23 16 17.5 57 21 30 -28 38 41 -26 41 9 -28 47 25 -26 32 33 0.36 -103 0 0 -27 3 18 23 16 20.9 58 20 29 -28 2 21 -26 4 42 -28 11 5 -25 56 6 0.36 -102 0 0 -26 26 38 23 16 24.4 59 18 28 -27 25 43 -25 27 59 -27 34 28 -25 19 22 0.36 -101 0 0 -25 49 41 23 16 27.9 60 16 27 -26 48 49 -24 51 0 -26 57 34 -24 42 23 0.36 -100 0 0 -25 12 30 23 16 31.5 61 15 26 -26 11 39 -24 13 46 -26 20 25 -24 5 9 0.36 - 99 0 0 -24 35 4 23 16 35.1 62 13 25 -25 34 15 -23 36 20 -25 43 1 -23 27 42 0.36 - 98 0 0 -23 57 26 23 16 38.8 62 11 24 -24 56 38 -22 58 41 -25 5 24 -22 50 4 0.36 - 97 0 0 -23 19 37 23 16 42.5 63 9 23 -24 18 49 -22 20 52 -24 27 35 -22 12 14 0.36 - 96 0 0 -22 41 38 23 16 46.2 64 7 22 -23 40 49 -21 42 53 -23 49 35 -21 34 15 0.36 - 95 0 0 -22 3 30 23 16 50.0 65 5 21 -23 2 40 -21 4 46 -23 11 26 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0 0 - 6 29 33 23 18 30.2 65 292 -5 - 7 25 56 - 5 33 34 - 7 34 17 - 5 25 21 0.37 - 69 0 0 - 5 55 29 23 18 34.0 64 290 -6 - 6 51 41 - 4 59 40 - 7 0 0 - 4 51 28 0.37 - 68 0 0 - 5 21 50 23 18 37.9 63 288 -7 - 6 17 51 - 4 26 11 - 6 26 8 - 4 18 1 0.37 - 67 0 0 - 4 48 36 23 18 41.7 62 286 -8 - 5 44 27 - 3 53 9 - 5 52 42 - 3 45 0 0.37 - 66 0 0 - 4 15 50 23 18 45.5 62 285 -9 - 5 11 29 - 3 20 33 - 5 19 43 - 3 12 26 0.37 - 65 0 0 - 3 43 31 23 18 49.2 61 283 -11 - 4 38 59 - 2 48 25 - 4 47 11 - 2 40 20 0.37 - 64 0 0 - 3 11 40 23 18 52.9 60 282 -12 - 4 6 57 - 2 16 46 - 4 15 8 - 2 8 42 0.37 - 63 0 0 - 2 40 19 23 18 56.5 59 281 -13 - 3 35 24 - 1 45 35 - 3 43 33 - 1 37 33 0.37 - 62 0 0 - 2 9 26 23 19 0.1 58 280 -14 - 3 4 20 - 1 14 54 - 3 12 28 - 1 6 54 0.37 - 61 0 0 - 1 39 5 23 19 3.7 57 279 -15 - 2 33 47 - 0 44 43 - 2 41 53 - 0 36 44 0.37 - 60 0 0 - 1 9 13 23 19 7.2 56 278 -16 - 2 3 45 - 0 15 3 - 2 11 49 - 0 7 6 0.38 - 59 0 0 - 0 39 54 23 19 10.6 55 277 -17 - 1 34 14 0 14 5 - 1 42 16 0 22 1 0.38 - 58 0 0 - 0 11 6 23 19 14.1 54 276 -18 - 1 5 15 0 42 42 - 1 13 15 0 50 36 0.38 - 57 0 0 0 17 10 23 19 17.4 53 275 -19 - 0 36 48 1 10 47 - 0 44 47 1 18 39 0.38 - 56 0 0 0 44 53 23 19 20.7 52 274 -20 - 0 8 53 1 38 19 - 0 16 51 1 46 10 0.38 - 55 0 0 1 12 3 23 19 23.9 51 274 -21 0 18 28 2 5 18 0 10 32 2 13 7 0.38 - 54 0 0 1 38 39 23 19 27.1 50 273 -22 0 45 15 2 31 44 0 37 21 2 39 31 0.38 - 53 0 0 2 4 42 23 19 30.3 49 273 -24 1 11 29 2 57 36 1 3 36 3 5 22 0.38 - 52 0 0 2 30 11 23 19 33.3 48 272 -25 1 37 8 3 22 54 1 29 17 3 30 38 0.38 - 51 0 0 2 55 5 23 19 36.3 47 272 -26 2 2 13 3 47 38 1 54 24 3 55 21 0.38 - 50 0 0 3 19 25 23 19 39.3 46 271 -27 2 26 43 4 11 47 2 18 55 4 19 29 0.38 - 49 0 0 3 43 10 23 19 42.2 45 271 -28 2 50 38 4 35 22 2 42 52 4 43 2 0.38 - 48 0 0 4 6 20 23 19 45.0 44 271 -29 3 13 58 4 58 22 3 6 14 5 6 0 0.38 - 47 0 0 4 28 54 23 19 47.8 43 270 -30 3 36 43 5 20 47 3 29 0 5 28 24 0.38 - 46 0 0 4 50 54 23 19 50.5 42 270 -31 3 58 52 5 42 36 3 51 11 5 50 12 0.38 - 45 0 0 5 12 18 23 19 53.2 41 270 -32 4 20 26 6 3 51 4 12 46 6 11 25 0.38 - 44 0 0 5 33 6 23 19 55.8 40 270 -33 4 41 24 6 24 30 4 33 45 6 32 3 0.38 - 43 0 0 5 53 19 23 19 58.3 39 269 -34 5 1 46 6 44 34 4 54 8 6 52 5 0.38 - 42 0 0 6 12 56 23 20 0.7 38 269 -35 5 21 32 7 4 2 5 13 56 7 11 32 0.38 - 41 0 0 6 31 57 23 20 3.1 37 269 -36 5 40 42 7 22 54 5 33 7 7 30 24 0.38 - 40 0 0 6 50 22 23 20 5.5 36 269 -37 5 59 16 7 41 11 5 51 42 7 48 39 0.38 - 39 0 0 7 8 12 23 20 7.8 35 269 -38 6 17 14 7 58 53 6 9 41 8 6 19 0.38 - 38 0 0 7 25 26 23 20 10.0 34 269 -39 6 34 35 8 15 58 6 27 4 8 23 24 0.38 - 37 0 0 7 42 3 23 20 12.1 33 269 -40 6 51 21 8 32 28 6 43 51 8 39 53 0.38 - 36 0 0 7 58 5 23 20 14.2 32 269 -41 7 7 31 8 48 23 7 0 2 8 55 46 0.38 - 35 0 0 8 13 31 23 20 16.2 31 269 -42 7 23 4 9 3 41 7 15 36 9 11 4 0.38 - 34 0 0 8 28 21 23 20 18.2 30 269 -43 7 38 1 9 18 24 7 30 35 9 25 46 0.38 - 33 0 0 8 42 35 23 20 20.1 29 269 -44 7 52 22 9 32 32 7 44 57 9 39 52 0.38 - 32 0 0 8 56 14 23 20 21.9 28 269 -45 8 6 7 9 46 4 7 58 43 9 53 23 0.38 - 31 0 0 9 9 17 23 20 23.7 27 269 -46 8 19 16 9 59 0 8 11 53 10 6 19 0.38 - 30 0 0 9 21 44 23 20 25.4 26 269 -47 8 31 49 10 11 21 8 24 27 10 18 39 0.38 - 29 0 0 9 33 35 23 20 27.0 25 269 -48 8 43 47 10 23 7 8 36 25 10 30 23 0.38 - 28 0 0 9 44 50 23 20 28.6 24 269 -49 8 55 8 10 34 17 8 47 47 10 41 33 0.38 - 27 0 0 9 55 30 23 20 30.1 23 269 -50 9 5 53 10 44 52 8 58 33 10 52 7 0.38 - 26 0 0 10 5 35 23 20 31.5 22 269 -51 9 16 3 10 54 51 9 8 43 11 2 6 0.38 - 25 0 0 10 15 4 23 20 32.9 21 270 -52 9 25 36 11 4 15 9 18 18 11 11 29 0.38 - 24 0 0 10 23 58 23 20 34.3 20 270 -53 9 34 34 11 13 5 9 27 16 11 20 18 0.38 - 23 0 0 10 32 16 23 20 35.5 19 270 -54 9 42 57 11 21 19 9 35 39 11 28 31 0.38 - 22 0 0 10 39 59 23 20 36.7 18 270 -55 9 50 44 11 28 58 9 43 27 11 36 10 0.38 - 21 0 0 10 47 6 23 20 37.9 17 270 -56 9 57 55 11 36 2 9 50 38 11 43 13 0.38 - 20 0 0 10 53 39 23 20 38.9 16 270 -57 10 4 31 11 42 31 9 57 15 11 49 42 0.38 - 19 0 0 10 59 36 23 20 39.9 15 270 -58 10 10 31 11 48 25 10 3 16 11 55 36 0.38 - 18 0 0 11 4 58 23 20 40.9 14 271 -59 10 15 56 11 53 45 10 8 41 12 0 55 0.38 - 17 0 0 11 9 45 23 20 41.8 13 271 -60 10 20 46 11 58 30 10 13 31 12 5 39 0.38 - 16 0 0 11 13 58 23 20 42.6 12 271 -61 10 25 0 12 2 40 10 17 46 12 9 49 0.39 - 15 0 0 11 17 35 23 20 43.4 11 271 -62 10 28 39 12 6 15 10 21 25 12 13 24 0.39 - 14 0 0 11 20 37 23 20 44.1 11 271 -63 10 31 43 12 9 16 10 24 29 12 16 25 0.39 - 13 0 0 11 23 5 23 20 44.7 10 271 -64 10 34 12 12 11 42 10 26 58 12 18 51 0.39 - 12 0 0 11 24 57 23 20 45.3 9 272 -65 10 36 6 12 13 33 10 28 52 12 20 42 0.39 - 11 0 0 11 26 15 23 20 45.8 8 272 -66 10 37 24 12 14 51 10 30 11 12 21 59 0.39 - 10 0 0 11 26 58 23 20 46.2 7 272 -67 10 38 8 12 15 33 10 30 55 12 22 42 0.40 - 9 0 0 11 27 7 23 20 46.6 6 272 -68 10 38 17 12 15 41 10 31 3 12 22 50 0.40 - 8 0 0 11 26 40 23 20 46.9 5 272 -69 10 37 50 12 15 15 10 30 37 12 22 24 0.41 - 7 0 0 11 25 39 23 20 47.2 4 273 -70 10 36 49 12 14 15 10 29 36 12 21 23 0.42 - 6 0 0 11 24 4 23 20 47.4 3 273 -71 10 35 13 12 12 40 10 27 59 12 19 48 0.43 - 5 0 0 11 21 54 23 20 47.5 2 273 -72 10 33 2 12 10 30 10 25 48 12 17 39 0.47 - 4 0 0 11 19 9 23 20 47.6 1 273 -73 10 30 15 12 7 47 10 23 2 12 14 55 0.60 Uncertainty in time = +/- 1 secs Prediction of 2020 Dec 31.0 Data for the target star ------------------------ * name: TYC 0059-01909-1 * constellation : Cetus * BCRS position with proper motion to date of event [h,m,s ; °,',"] RA: 03 16 16.0831 DE: +03 11 33.614 * GCRS Astrometric position with proper motion and parallax to date of event [h,m,s ; °,',"] RA: 03 16 16.0828 DE: +03 11 33.613 * position source: Gaia EDR3 * standard error: RA,DE [mas]: (0.100,0.100) * V mag [mag]: 10.7 * Diameter [mas]: 0.00 * remarks: Data for the minor planet ------------------------- * general information: (number) name: (747) Winchester asteroid class: approx. diameter [km]: 169 approx. diameter ["]: 0.111 distance from Earth [AU]: 2.08620 asteroid position offset in RA [mas]: 0 asteroid position offset in DE [mas]: 0 * orbital information: orbit source: Preston date of fit: 2020 Dec 31 source of used astrometry: MPC, FASTT, TMO number of used observations: 2798 number of rejected observations: 38 time covered by the observations: 1960 Apr 19 - 2020 Oct 21 1 sigma uncertainty ellipse (major, minor, PA): 0.020", 0.007", 71.8° remarks: * orbital elements for (747)Winchester : Mean anomaly = 13.36714506 deg Arg. of pericenter = 277.43194084 deg Long. of node = 129.10321759 deg Inclination = 18.21790427 deg Eccentricity = 0.33911650 Semimajor axis = 3.00021499 AU Perihelion dist = 1.98279259 AU Mag: H = 7.80, G = 0.15 Epoch of elements : MJD 59267.97100000 TDT (2021 Feb 22.9710) ------ occelmnt file for Occult BEGIN ----------------------------------- Preston2020Dec31,5.3,2021,2,22,23.2945,0.18032,-0.29482,15.36287,9.39465,0.00512,0.00101,0.00000,0.00000 -93.1544,3.2673,-166.07,-9.84,False TYC 0059-01909-1,3.27113415,3.1926705,0.00,10.66,0.00,0.0,0,,3.28918425,3.2672547 747,Winchester,12.18,168.6,2.0862,0,0,4.324,39.60,,10.2 0,13.1830,2021,2,22,277.4319,129.1032,18.2179,0.33912,3.00021,1.98279,7.80,5.0,0.15 1.074,0.0200,0.0070,72,0.0082,Known errors 20210222_1909-1,59214.00 ------ occelmnt file for Occult END ----------------------------------- ============================================ Calculator (s): Steve Preston Date of update: 2020 Dec 31, 01:42 UT Steve Preston 7640 NE 32nd St Medina, WA 98039 stevepr@acm.org