IOTA/IOTA-ES occultation update for (168) Sibylla / UCAC4 360-163080 event on 2024 Sep 22, 18:34 UT Visible from Summary ------- On 2024 Sep 22 UT, the 145.600604665597 km diameter asteroid (168) Sibylla will occult a 12.0 mag star in the constellation Sagittarius for observers along a path across . In the case of an occultation, the combined light of the asteroid and the star will drop by 2.21 mag to 14.02 mag (the magnitude of the asteroid) for at most 12.720 seconds. This update is based on, 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: 2024 Sep 22, 18:26 - 2024 Sep 22, 18:41 * geocentric midpoint of event [JD]: 2460576.27365266 * magnitude of target star: 11.96 * magnitude drop [mag]: 2.21 * estimated maximum duration [s]: 12.720 * Moon: 71 % sunlit, 145° distance * Sun: 99° distance * rough path description: The occultation path -------------------- * approximate projected width [km]: 194 * 1 sigma uncertainty interval [path widths]: +/- 0.09 * 1 sigma uncertainty interval [seconds]: +/- 3.9 * 1 sigma uncertainty interval approx RA,DE ["]: (+/- 0.021, +/- 0.004) * 1 sigma uncertainty ellipse (major, minor, PA): (0.021", 0.003", 84°) * approx speed of asteroid's shadow [km/s]: 11.4648 * website for maps: http://www.asteroidoccultation.com Path Coordinates: Occultation of UCAC4 360-163080 by 168 Sibylla on 2024 Sep 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 - 70 0 0 45 47 41 18 27 7.5 0 116 38 44 49 53 .. .. .. 44 39 59 .. .. .. .... - 69 0 0 45 26 49 18 27 7.6 1 117 38 44 28 59 46 25 37 44 19 5 46 35 52 -0.28 - 68 0 0 45 5 47 18 27 7.8 2 118 37 44 7 57 46 4 36 43 58 3 46 14 51 -0.55 - 67 0 0 44 44 36 18 27 8.1 2 118 37 43 46 45 45 43 25 43 36 51 45 53 41 -0.65 - 66 0 0 44 23 17 18 27 8.6 3 119 37 43 25 26 45 22 6 43 15 32 45 32 22 -0.70 - 65 0 0 44 1 49 18 27 9.3 4 120 37 43 3 58 45 0 38 42 54 4 45 10 54 -0.74 - 64 0 0 43 40 14 18 27 10.1 5 121 36 42 42 23 44 39 3 42 32 29 44 49 19 -0.76 - 63 0 0 43 18 32 18 27 11.1 6 121 36 42 20 41 44 17 20 42 10 47 44 27 36 -0.77 - 62 0 0 42 56 43 18 27 12.2 7 122 36 41 58 53 43 55 31 41 48 59 44 5 46 -0.78 - 61 0 0 42 34 48 18 27 13.5 7 123 36 41 36 59 43 33 35 41 27 5 43 43 50 -0.79 - 60 0 0 42 12 48 18 27 14.9 8 123 35 41 15 0 43 11 33 41 5 6 43 21 48 -0.80 - 59 0 0 41 50 42 18 27 16.5 9 124 35 40 52 56 42 49 26 40 43 2 42 59 41 -0.81 - 58 0 0 41 28 32 18 27 18.3 10 125 35 40 30 47 42 27 14 40 20 54 42 37 29 -0.81 - 57 0 0 41 6 18 18 27 20.2 11 125 34 40 8 35 42 4 59 39 58 42 42 15 13 -0.82 - 56 0 0 40 44 1 18 27 22.3 11 126 34 39 46 20 41 42 39 39 36 27 41 52 53 -0.82 - 55 0 0 40 21 41 18 27 24.6 12 127 33 39 24 2 41 20 17 39 14 10 41 30 31 -0.82 - 54 0 0 39 59 19 18 27 27.0 13 127 33 39 1 43 40 57 52 38 51 51 41 8 6 -0.83 - 53 0 0 39 36 55 18 27 29.6 14 128 32 38 39 22 40 35 26 38 29 31 40 45 39 -0.83 - 52 0 0 39 14 31 18 27 32.4 15 129 32 38 17 0 40 12 59 38 7 10 40 23 11 -0.83 - 51 0 0 38 52 7 18 27 35.4 16 130 32 37 54 39 39 50 31 37 44 48 40 0 42 -0.83 - 50 0 0 38 29 42 18 27 38.5 17 130 31 37 32 18 39 28 3 37 22 28 39 38 14 -0.83 - 49 0 0 38 7 19 18 27 41.8 17 131 30 37 9 58 39 5 36 37 0 9 39 15 47 -0.84 - 48 0 0 37 44 58 18 27 45.3 18 132 30 36 47 40 38 43 11 36 37 52 38 53 21 -0.84 - 47 0 0 37 22 38 18 27 49.0 19 132 29 36 25 25 38 20 48 36 15 37 38 30 57 -0.84 - 46 0 0 37 0 22 18 27 52.8 20 133 29 36 3 13 37 58 27 35 53 25 38 8 36 -0.84 - 45 0 0 36 38 10 18 27 56.8 21 134 28 35 41 4 37 36 10 35 31 18 37 46 18 -0.84 - 44 0 0 36 16 1 18 28 1.0 22 134 28 35 19 0 37 13 58 35 9 14 37 24 4 -0.84 - 43 0 0 35 53 58 18 28 5.4 22 135 27 34 57 1 36 51 50 34 47 16 37 1 55 -0.85 - 42 0 0 35 32 0 18 28 10.0 23 136 26 34 35 8 36 29 47 34 25 24 36 39 52 -0.85 - 41 0 0 35 10 9 18 28 14.7 24 137 26 34 13 21 36 7 50 34 3 38 36 17 54 -0.85 - 40 0 0 34 48 24 18 28 19.6 25 137 25 33 51 42 35 46 1 33 41 59 35 56 4 -0.85 - 39 0 0 34 26 47 18 28 24.7 26 138 24 33 30 10 35 24 19 33 20 28 35 34 21 -0.85 - 38 0 0 34 5 19 18 28 29.9 27 139 24 33 8 46 35 2 45 32 59 5 35 12 46 -0.85 - 37 0 0 33 43 59 18 28 35.3 27 140 23 32 47 32 34 41 19 32 37 52 34 51 19 -0.85 - 36 0 0 33 22 49 18 28 40.9 28 141 22 32 26 27 34 20 4 32 16 48 34 30 3 -0.85 - 35 0 0 33 1 49 18 28 46.7 29 141 21 32 5 33 33 58 58 31 55 54 34 8 56 -0.85 - 34 0 0 32 41 0 18 28 52.6 30 142 21 31 44 49 33 38 3 31 35 12 33 48 0 -0.86 - 33 0 0 32 20 22 18 28 58.7 31 143 20 31 24 17 33 17 19 31 14 40 33 27 15 -0.86 - 32 0 0 31 59 56 18 29 4.9 31 144 19 31 3 57 32 56 48 30 54 21 33 6 43 -0.86 - 31 0 0 31 39 43 18 29 11.3 32 145 18 30 43 50 32 36 29 30 34 15 32 46 23 -0.86 - 30 0 0 31 19 44 18 29 17.8 33 146 18 30 23 56 32 16 23 30 14 22 32 26 16 -0.86 - 29 0 0 30 59 58 18 29 24.5 34 146 17 30 4 16 31 56 31 29 54 43 32 6 23 -0.86 - 28 0 0 30 40 27 18 29 31.4 35 147 16 29 44 50 31 36 54 29 35 19 31 46 45 -0.86 - 27 0 0 30 21 11 18 29 38.4 35 148 15 29 25 40 31 17 32 29 16 9 31 27 21 -0.86 - 26 0 0 30 2 10 18 29 45.5 36 149 14 29 6 45 30 58 25 28 57 16 31 8 14 -0.86 - 25 0 0 29 43 26 18 29 52.8 37 150 14 28 48 7 30 39 34 28 38 38 30 49 22 -0.86 - 24 0 0 29 24 58 18 30 0.2 37 151 13 28 29 45 30 21 1 28 20 18 30 30 47 -0.86 - 23 0 0 29 6 48 18 30 7.7 38 152 12 28 11 41 30 2 44 28 2 14 30 12 29 -0.87 - 22 0 0 28 48 55 18 30 15.4 39 153 11 27 53 54 29 44 45 27 44 28 29 54 29 -0.87 - 21 0 0 28 31 21 18 30 23.2 39 154 10 27 36 25 29 27 5 27 27 1 29 36 48 -0.87 - 20 0 0 28 14 5 18 30 31.1 40 155 9 27 19 16 29 9 43 27 9 52 29 19 25 -0.87 - 19 0 0 27 57 9 18 30 39.1 41 156 8 27 2 25 28 52 41 26 53 3 29 2 22 -0.87 - 18 0 0 27 40 32 18 30 47.2 41 158 7 26 45 55 28 35 58 26 36 33 28 45 38 -0.87 - 17 0 0 27 24 16 18 30 55.5 42 159 7 26 29 44 28 19 36 26 20 23 28 29 15 -0.87 - 16 0 0 27 8 21 18 31 3.8 43 160 6 26 13 54 28 3 35 26 4 35 28 13 12 -0.87 - 15 0 0 26 52 46 18 31 12.3 43 161 5 25 58 25 27 47 54 25 49 6 27 57 31 -0.87 - 14 0 0 26 37 33 18 31 20.8 44 162 4 25 43 18 27 32 36 25 34 0 27 42 11 -0.87 - 13 0 0 26 22 42 18 31 29.4 44 164 3 25 28 32 27 17 39 25 19 15 27 27 14 -0.87 - 12 0 0 26 8 13 18 31 38.1 45 165 2 25 14 9 27 3 5 25 4 53 27 12 38 -0.87 - 11 0 0 25 54 7 18 31 46.9 45 166 1 25 0 8 26 48 53 24 50 53 26 58 26 -0.87 - 10 0 0 25 40 24 18 31 55.7 46 167 0 24 46 30 26 35 5 24 37 16 26 44 36 -0.88 - 9 0 0 25 27 5 18 32 4.6 46 169 -1 24 33 16 26 21 40 24 24 2 26 31 11 -0.88 - 8 0 0 25 14 9 18 32 13.6 46 170 -2 24 20 25 26 8 39 24 11 12 26 18 9 -0.88 - 7 0 0 25 1 37 18 32 22.7 47 172 -3 24 7 58 25 56 2 23 58 46 26 5 31 -0.88 - 6 0 0 24 49 30 18 32 31.8 47 173 -4 23 55 56 25 43 50 23 46 45 25 53 18 -0.88 - 5 0 0 24 37 47 18 32 40.9 47 174 -5 23 44 17 25 32 2 23 35 7 25 41 30 -0.88 - 4 0 0 24 26 29 18 32 50.1 48 176 -6 23 33 4 25 20 40 23 23 55 25 30 6 -0.88 - 3 0 0 24 15 37 18 32 59.3 48 177 -7 23 22 16 25 9 43 23 13 7 25 19 9 -0.88 - 2 0 0 24 5 10 18 33 8.6 48 179 -8 23 11 53 24 59 11 23 2 45 25 8 36 -0.88 - 1 0 0 23 55 8 18 33 17.9 48 180 -8 23 1 55 24 49 6 22 52 48 24 58 30 -0.88 0 0 0 23 45 33 18 33 27.2 48 182 -9 22 52 24 24 39 26 22 43 17 24 48 49 -0.88 1 0 0 23 36 23 18 33 36.5 48 183 -10 22 43 18 24 30 13 22 34 12 24 39 35 -0.88 2 0 0 23 27 40 18 33 45.9 48 185 -11 22 34 39 24 21 26 22 25 33 24 30 48 -0.88 3 0 0 23 19 24 18 33 55.2 49 186 -12 22 26 25 24 13 6 22 17 21 24 22 27 -0.88 4 0 0 23 11 34 18 34 4.6 49 188 -13 22 18 39 24 5 12 22 9 35 24 14 33 -0.88 5 0 0 23 4 11 18 34 14.0 49 189 -14 22 11 19 23 57 46 22 2 15 24 7 6 -0.88 6 0 0 22 57 15 18 34 23.3 48 191 -15 22 4 26 23 50 47 21 55 23 24 0 7 -0.88 7 0 0 22 50 46 18 34 32.6 48 192 -16 21 58 0 23 44 15 21 48 57 23 53 34 -0.88 8 0 0 22 44 44 18 34 42.0 48 194 -17 21 52 1 23 38 11 21 42 59 23 47 30 -0.88 9 0 0 22 39 10 18 34 51.3 48 195 -18 21 46 30 23 32 34 21 37 28 23 41 53 -0.88 10 0 0 22 34 4 18 35 0.6 48 197 -19 21 41 25 23 27 26 21 32 24 23 36 43 -0.88 11 0 0 22 29 25 18 35 9.8 48 198 -20 21 36 48 23 22 44 21 27 47 23 32 2 -0.89 12 0 0 22 25 14 18 35 19.0 48 199 -21 21 32 39 23 18 31 21 23 38 23 27 48 -0.89 13 0 0 22 21 30 18 35 28.2 47 201 -22 21 28 57 23 14 46 21 19 57 23 24 3 -0.89 14 0 0 22 18 14 18 35 37.3 47 202 -23 21 25 43 23 11 28 21 16 43 23 20 45 -0.89 15 0 0 22 15 26 18 35 46.4 47 204 -24 21 22 56 23 8 39 21 13 56 23 17 55 -0.89 16 0 0 22 13 6 18 35 55.4 46 205 -25 21 20 37 23 6 18 21 11 37 23 15 34 -0.89 17 0 0 22 11 14 18 36 4.4 46 206 -26 21 18 46 23 4 24 21 9 46 23 13 40 -0.89 18 0 0 22 9 50 18 36 13.3 45 207 -27 21 17 23 23 2 59 21 8 23 23 12 15 -0.89 19 0 0 22 8 53 18 36 22.1 45 209 -28 21 16 27 23 2 2 21 7 27 23 11 18 -0.89 20 0 0 22 8 25 18 36 30.9 45 210 -29 21 15 59 23 1 34 21 7 0 23 10 49 -0.89 21 0 0 22 8 25 18 36 39.6 44 211 -30 21 15 59 23 1 33 21 7 0 23 10 49 -0.89 22 0 0 22 8 52 18 36 48.2 44 212 -30 21 16 27 23 2 1 21 7 27 23 11 16 -0.89 23 0 0 22 9 47 18 36 56.7 43 213 -31 21 17 22 23 2 56 21 8 22 23 12 12 -0.89 24 0 0 22 11 11 18 37 5.1 42 215 -32 21 18 44 23 4 19 21 9 45 23 13 35 -0.89 25 0 0 22 13 1 18 37 13.5 42 216 -33 21 20 35 23 6 11 21 11 35 23 15 26 -0.89 26 0 0 22 15 20 18 37 21.7 41 217 -34 21 22 52 23 8 30 21 13 53 23 17 46 -0.89 27 0 0 22 18 6 18 37 29.8 41 218 -35 21 25 38 23 11 17 21 16 38 23 20 33 -0.89 28 0 0 22 21 19 18 37 37.9 40 219 -36 21 28 50 23 14 32 21 19 50 23 23 48 -0.89 29 0 0 22 25 0 18 37 45.8 39 220 -37 21 32 30 23 18 14 21 23 30 23 27 30 -0.89 30 0 0 22 29 9 18 37 53.6 39 221 -38 21 36 37 23 22 24 21 27 36 23 31 40 -0.89 31 0 0 22 33 44 18 38 1.3 38 222 -39 21 41 11 23 27 1 21 32 10 23 36 18 -0.89 32 0 0 22 38 47 18 38 8.9 37 222 -39 21 46 11 23 32 5 21 37 10 23 41 22 -0.89 33 0 0 22 44 16 18 38 16.3 37 223 -40 21 51 39 23 37 37 21 42 38 23 46 54 -0.89 34 0 0 22 50 12 18 38 23.6 36 224 -41 21 57 33 23 43 35 21 48 31 23 52 53 -0.89 35 0 0 22 56 35 18 38 30.8 35 225 -42 22 3 54 23 50 0 21 54 52 23 59 19 -0.89 36 0 0 23 3 25 18 38 37.9 34 226 -43 22 10 41 23 56 52 22 1 38 24 6 11 -0.89 37 0 0 23 10 40 18 38 44.8 34 227 -44 22 17 54 24 4 11 22 8 51 24 13 30 -0.89 38 0 0 23 18 22 18 38 51.5 33 227 -44 22 25 32 24 11 55 22 16 29 24 21 15 -0.89 39 0 0 23 26 29 18 38 58.2 32 228 -45 22 33 37 24 20 6 22 24 33 24 29 26 -0.89 40 0 0 23 35 3 18 39 4.6 31 229 -46 22 42 7 24 28 42 22 33 2 24 38 3 -0.89 41 0 0 23 44 1 18 39 11.0 30 230 -47 22 51 2 24 37 44 22 41 57 24 47 6 -0.88 42 0 0 23 53 25 18 39 17.1 30 230 -48 23 0 23 24 47 12 22 51 17 24 56 34 -0.88 43 0 0 24 3 14 18 39 23.1 29 231 -48 23 10 8 24 57 4 23 1 2 25 6 27 -0.88 44 0 0 24 13 28 18 39 29.0 28 232 -49 23 20 18 25 7 22 23 11 11 25 16 45 -0.88 45 0 0 24 24 6 18 39 34.7 27 232 -50 23 30 52 25 18 4 23 21 45 25 27 28 -0.88 46 0 0 24 35 8 18 39 40.2 26 233 -50 23 41 51 25 29 10 23 32 42 25 38 35 -0.88 47 0 0 24 46 34 18 39 45.5 25 234 -51 23 53 13 25 40 41 23 44 4 25 50 6 -0.88 48 0 0 24 58 24 18 39 50.7 25 234 -52 24 4 58 25 52 35 23 55 49 26 2 1 -0.88 49 0 0 25 10 37 18 39 55.7 24 235 -52 24 17 7 26 4 53 24 7 57 26 14 20 -0.88 50 0 0 25 23 13 18 40 0.5 23 235 -53 24 29 39 26 17 33 24 20 28 26 27 1 -0.88 51 0 0 25 36 12 18 40 5.2 22 236 -54 24 42 33 26 30 37 24 33 21 26 40 6 -0.88 52 0 0 25 49 33 18 40 9.7 21 236 -54 24 55 49 26 44 3 24 46 36 26 53 32 -0.88 53 0 0 26 3 16 18 40 14.0 20 237 -55 25 9 27 26 57 51 25 0 14 27 7 21 -0.88 54 0 0 26 17 20 18 40 18.1 19 238 -55 25 23 27 27 12 0 25 14 13 27 21 32 -0.89 55 0 0 26 31 46 18 40 22.0 18 238 -56 25 37 48 27 26 31 25 28 33 27 36 3 -0.89 56 0 0 26 46 33 18 40 25.7 17 239 -56 25 52 29 27 41 23 25 43 13 27 50 56 -0.89 57 0 0 27 1 40 18 40 29.3 17 239 -56 26 7 31 27 56 35 25 58 14 28 6 9 -0.89 58 0 0 27 17 6 18 40 32.6 16 240 -57 26 22 53 28 12 8 26 13 35 28 21 43 -0.89 59 0 0 27 32 53 18 40 35.8 15 240 -57 26 38 34 28 28 0 26 29 16 28 37 36 -0.89 60 0 0 27 48 59 18 40 38.8 14 241 -57 26 54 35 28 44 11 26 45 15 28 53 49 -0.89 61 0 0 28 5 24 18 40 41.6 13 241 -58 27 10 54 29 0 42 27 1 34 29 10 20 -0.89 62 0 0 28 22 7 18 40 44.2 12 242 -58 27 27 32 29 17 31 27 18 11 29 27 10 -0.89 63 0 0 28 39 8 18 40 46.6 11 242 -58 27 44 28 29 34 38 27 35 5 29 44 18 -0.89 64 0 0 28 56 27 18 40 48.8 10 243 -58 28 1 41 29 52 2 27 52 17 30 1 43 -0.89 65 0 0 29 14 2 18 40 50.8 9 243 -58 28 19 10 30 9 43 28 9 46 30 19 26 -0.89 66 0 0 29 31 54 18 40 52.6 8 244 -59 28 36 57 30 27 41 28 27 32 30 37 24 -0.90 67 0 0 29 50 2 18 40 54.3 7 244 -59 28 54 59 30 45 55 28 45 33 30 55 39 -0.90 68 0 0 30 8 25 18 40 55.7 6 245 -59 29 13 17 31 4 24 29 3 50 31 14 9 -0.90 69 0 0 30 27 4 18 40 56.9 6 245 -59 29 31 49 31 23 8 29 22 22 31 32 55 -0.91 70 0 0 30 45 57 18 40 58.0 5 246 -59 29 50 37 31 42 7 29 41 8 31 51 55 -0.92 71 0 0 31 5 4 18 40 58.8 4 246 -58 30 9 38 32 1 20 30 0 8 32 11 9 -0.93 72 0 0 31 24 24 18 40 59.5 3 247 -58 30 28 53 32 20 46 30 19 22 32 30 36 -0.95 73 0 0 31 43 57 18 41 0.0 2 247 -58 30 48 20 32 40 25 30 38 48 32 50 16 -0.99 74 0 0 32 3 42 18 41 0.2 1 248 -58 31 8 0 33 0 16 30 58 27 33 10 8 -1.10 75 0 0 32 23 39 18 41 0.3 0 249 -58 31 27 51 .. .. .. 31 18 18 .. .. .. -4.19 Uncertainty in time = +/- 4 secs Prediction of 2023 Jul 15.6 Data for the target star ------------------------ * name: UCAC4 360-163080 * constellation : Sagittarius * BCRS position with proper motion to date of event [h,m,s ; °,',"] RA: 18 35 42.1876 DE: -18 02 32.448 * GCRS Astrometric position with proper motion and parallax to date of event [h,m,s ; °,',"] RA: 18 35 42.1876 DE: -18 02 32.448 * position source: Gaia DR3 * standard error: RA,DE [mas]: (0.200,0.100) * V mag [mag]: 12.0 * B mag [mag]: 12.8 * Diameter [mas]: 0.10 * remarks: Data for the minor planet ------------------------- * general information: (number) name: (168) Sibylla asteroid class: approx. diameter [km]: 146 approx. diameter ["]: 0.066 distance from Earth [AU]: 3.03880 asteroid position offset in RA [mas]: 0 asteroid position offset in DE [mas]: 0 * orbital information: orbit source: JPL#66 date of fit: 2023 Apr 24 source of used astrometry: MPC, JPL number of used observations: 0 number of rejected observations: 0 time covered by the observations: 1800 Jan 01 - 1800 Jan 01 1 sigma uncertainty ellipse (major, minor, PA): 0.021", 0.003", 84.373° remarks: * orbital elements for (168)Sibylla : Mean anomaly = 282.0433471038 deg Arg. of pericenter = 176.4174581686 deg Long. of node = 205.9174302613 deg Inclination = 4.6705631767 deg Eccentricity = 0.0747638852 Semimajor axis = 3.3736689248 AU Perihelion dist = 3.1214403284 AU Mag: H = 8.09, G = 0.15 Epoch of elements : MJD 60575.77365216 TDT (2024 Sep 22.7737) ------ occelmnt file for Occult BEGIN ----------------------------------- JPL#662023Apr24,12.72,2024,9,22,18.567664,0.083846,0.655722,6.418588,-0.822263,0.005728,0.000286,0.000000,0.000000 -1.3390,-18.0227,-100.40,-0.10,False UCAC4 360-163080,18.59505213,-18.0423467,12.84,11.96,11.48,0.1,0,,18.61913808,-18.0226648,2.21,2.24,0,0,0 168,Sibylla,14.02,145.821,3.0388,0,0,1.303,-2.38,,7.2,0 0,281.9203,2024,9,22,176.4175,205.9174,4.6706,0.07476,3.37367,3.12144,8.08,5.0,0.15 1.086,0.0210,0.0033,84,0.0057,Known errors,0.76,0,-1,-1 20240922_163080,60140.58 ------ occelmnt file for Occult END ----------------------------------- ============================================ Calculator (s): Steve Preston Date of update: 2023 Jul 15, 13:54 UT Steve Preston 7640 NE 32nd St Medina, WA 98039 stevepr@acm.org