IOTA/IOTA-ES occultation update for (169) Zelia / UCAC4 315-219810 event on 2024 Oct 11, 16:05 UT Visible from Summary ------- On 2024 Oct 11 UT, the 36.336 km diameter asteroid (169) Zelia will occult a 11.0 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 2.88 mag to 13.81 mag (the magnitude of the asteroid) for at most 1.560 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: 99 * date and approx. time of event: 2024 Oct 11, 16:01 - 2024 Oct 11, 16:09 * geocentric midpoint of event [JD]: 2460595.17027679 * magnitude of target star: 11.01 * magnitude drop [mag]: 2.88 * estimated maximum duration [s]: 1.560 * Moon: 60 % sunlit, 19° distance * Sun: 83° distance * rough path description: The occultation path -------------------- * approximate projected width [km]: 42 * 1 sigma uncertainty interval [path widths]: +/- 0.13 * 1 sigma uncertainty interval [seconds]: +/- 1.3 * 1 sigma uncertainty interval approx RA,DE ["]: (+/- 0.022, +/- 0.003) * 1 sigma uncertainty ellipse (major, minor, PA): (0.022", 0.003", 84°) * approx speed of asteroid's shadow [km/s]: 23.3659 * website for maps: http://www.asteroidoccultation.com Path Coordinates: Occultation of UCAC4 315-219810 by 169 Zelia on 2024 Oct 11 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 - 59 0 0 16 0 58 16 1 16.6 1 118 66 15 48 4 16 13 53 15 44 40 16 17 19 .... - 58 0 0 15 30 10 16 1 16.8 2 119 67 15 17 20 15 43 3 15 13 55 15 46 28 -0.30 - 57 0 0 14 59 47 16 1 17.0 3 119 67 14 46 59 15 12 37 14 43 35 15 16 2 -0.41 - 56 0 0 14 29 48 16 1 17.4 4 119 67 14 17 2 14 42 36 14 13 39 14 46 0 -0.45 - 55 0 0 14 0 14 16 1 17.8 5 120 67 13 47 31 14 12 59 13 44 9 14 16 23 -0.48 - 54 0 0 13 31 7 16 1 18.4 6 120 67 13 18 26 13 43 49 13 15 5 13 47 12 -0.50 - 53 0 0 13 2 26 16 1 19.1 7 120 67 12 49 48 13 15 6 12 46 27 13 18 28 -0.51 - 52 0 0 12 34 13 16 1 19.9 8 120 67 12 21 37 12 46 50 12 18 17 12 50 11 -0.52 - 51 0 0 12 6 27 16 1 20.8 9 120 67 11 53 54 12 19 2 11 50 35 12 22 23 -0.53 - 50 0 0 11 39 10 16 1 21.9 10 121 67 11 26 40 11 51 43 11 23 21 11 55 3 -0.53 - 49 0 0 11 12 23 16 1 23.0 12 121 66 10 59 55 11 24 53 10 56 37 11 28 12 -0.54 - 48 0 0 10 46 5 16 1 24.2 13 121 66 10 33 40 10 58 33 10 30 22 11 1 51 -0.54 - 47 0 0 10 20 18 16 1 25.6 14 121 66 10 7 55 10 32 43 10 4 38 10 36 1 -0.55 - 46 0 0 9 55 2 16 1 27.1 15 122 65 9 42 41 10 7 24 9 39 24 10 10 41 -0.55 - 45 0 0 9 30 16 16 1 28.6 16 122 65 9 17 58 9 42 37 9 14 42 9 45 53 -0.55 - 44 0 0 9 6 3 16 1 30.3 17 122 64 8 53 47 9 18 21 8 50 32 9 21 37 -0.55 - 43 0 0 8 42 22 16 1 32.0 18 122 64 8 30 8 8 54 37 8 26 53 8 57 52 -0.56 - 42 0 0 8 19 13 16 1 33.9 19 122 63 8 7 1 8 31 26 8 3 48 8 34 41 -0.56 - 41 0 0 7 56 37 16 1 35.9 20 123 63 7 44 28 8 8 48 7 41 15 8 12 2 -0.56 - 40 0 0 7 34 35 16 1 37.9 21 123 62 7 22 27 7 46 43 7 19 15 7 49 57 -0.56 - 39 0 0 7 13 6 16 1 40.1 22 123 61 7 1 1 7 25 12 6 57 49 7 28 25 -0.56 - 38 0 0 6 52 11 16 1 42.3 23 123 61 6 40 8 7 4 15 6 36 56 7 7 27 -0.56 - 37 0 0 6 31 50 16 1 44.7 24 124 60 6 19 49 6 43 52 6 16 38 6 47 4 -0.56 - 36 0 0 6 12 4 16 1 47.1 25 124 59 6 0 5 6 24 4 5 56 54 6 27 15 -0.57 - 35 0 0 5 52 52 16 1 49.6 26 124 58 5 40 55 6 4 50 5 37 45 6 8 1 -0.57 - 34 0 0 5 34 15 16 1 52.2 27 124 58 5 22 21 5 46 12 5 19 11 5 49 22 -0.57 - 33 0 0 5 16 14 16 1 54.9 28 125 57 5 4 21 5 28 9 5 1 12 5 31 18 -0.57 - 32 0 0 4 58 48 16 1 57.7 29 125 56 4 46 57 5 10 41 4 43 49 5 13 50 -0.57 - 31 0 0 4 41 58 16 2 0.5 30 125 55 4 30 8 4 53 48 4 27 0 4 56 57 -0.57 - 30 0 0 4 25 43 16 2 3.5 31 125 54 4 13 55 4 37 32 4 10 48 4 40 40 -0.57 - 29 0 0 4 10 4 16 2 6.5 32 126 53 3 58 18 4 21 52 3 55 11 4 24 59 -0.57 - 28 0 0 3 55 1 16 2 9.6 33 126 52 3 43 17 4 6 47 3 40 10 4 9 55 -0.57 - 27 0 0 3 40 35 16 2 12.8 34 126 52 3 28 52 3 52 19 3 25 46 3 55 26 -0.57 - 26 0 0 3 26 44 16 2 16.0 35 127 51 3 15 3 3 38 27 3 11 57 3 41 34 -0.57 - 25 0 0 3 13 31 16 2 19.3 36 127 50 3 1 51 3 25 12 2 58 45 3 28 18 -0.58 - 24 0 0 3 0 53 16 2 22.7 37 127 49 2 49 15 3 12 33 2 46 10 3 15 39 -0.58 - 23 0 0 2 48 52 16 2 26.2 38 128 48 2 37 15 3 0 31 2 34 10 3 3 37 -0.58 - 22 0 0 2 37 28 16 2 29.7 39 128 47 2 25 52 2 49 6 2 22 48 2 52 11 -0.58 - 21 0 0 2 26 41 16 2 33.3 40 129 46 2 15 6 2 38 17 2 12 2 2 41 22 -0.58 - 20 0 0 2 16 31 16 2 36.9 40 129 45 2 4 57 2 28 6 2 1 53 2 31 10 -0.58 - 19 0 0 2 6 57 16 2 40.7 41 130 44 1 55 24 2 18 31 1 52 21 2 21 36 -0.58 - 18 0 0 1 58 1 16 2 44.4 42 130 43 1 46 29 2 9 34 1 43 26 2 12 38 -0.58 - 17 0 0 1 49 41 16 2 48.3 43 131 42 1 38 10 2 1 13 1 35 7 2 4 17 -0.58 - 16 0 0 1 41 59 16 2 52.2 44 131 41 1 30 28 1 53 30 1 27 26 1 56 34 -0.58 - 15 0 0 1 34 53 16 2 56.1 45 132 40 1 23 24 1 46 24 1 20 21 1 49 27 -0.58 - 14 0 0 1 28 25 16 3 0.1 46 133 39 1 16 56 1 39 55 1 13 54 1 42 58 -0.58 - 13 0 0 1 22 34 16 3 4.2 46 133 38 1 11 6 1 34 3 1 8 4 1 37 6 -0.58 - 12 0 0 1 17 20 16 3 8.3 47 134 37 1 5 53 1 28 49 1 2 51 1 31 52 -0.58 - 11 0 0 1 12 44 16 3 12.5 48 135 36 1 1 17 1 24 12 0 58 15 1 27 15 -0.58 - 10 0 0 1 8 45 16 3 16.7 49 135 35 0 57 18 1 20 13 0 54 16 1 23 15 -0.58 - 9 0 0 1 5 23 16 3 20.9 49 136 34 0 53 57 1 16 50 0 50 55 1 19 53 -0.58 - 8 0 0 1 2 38 16 3 25.2 50 137 33 0 51 13 1 14 6 0 48 11 1 17 8 -0.58 - 7 0 0 1 0 31 16 3 29.6 51 138 32 0 49 6 1 11 58 0 46 4 1 15 1 -0.58 - 6 0 0 0 59 2 16 3 34.0 52 139 31 0 47 36 1 10 29 0 44 35 1 13 31 -0.58 - 5 0 0 0 58 10 16 3 38.4 52 140 30 0 46 44 1 9 36 0 43 43 1 12 39 -0.58 - 4 0 0 0 57 55 16 3 42.9 53 141 29 0 46 29 1 9 22 0 43 28 1 12 24 -0.59 - 3 0 0 0 58 18 16 3 47.4 54 142 28 0 46 52 1 9 44 0 43 50 1 12 47 -0.59 - 2 0 0 0 59 18 16 3 51.9 54 143 27 0 47 52 1 10 45 0 44 51 1 13 47 -0.59 - 1 0 0 1 0 55 16 3 56.5 55 144 26 0 49 30 1 12 23 0 46 28 1 15 25 -0.59 0 0 0 1 3 11 16 4 1.1 55 146 25 0 51 45 1 14 38 0 48 43 1 17 41 -0.59 1 0 0 1 6 3 16 4 5.8 56 147 24 0 54 37 1 17 31 0 51 35 1 20 34 -0.59 2 0 0 1 9 34 16 4 10.5 56 148 23 0 58 7 1 21 2 0 55 5 1 24 5 -0.59 3 0 0 1 13 41 16 4 15.2 57 150 22 1 2 14 1 25 10 0 59 12 1 28 13 -0.59 4 0 0 1 18 27 16 4 19.9 57 151 21 1 6 59 1 29 56 1 3 57 1 32 59 -0.59 5 0 0 1 23 50 16 4 24.7 58 153 20 1 12 21 1 35 20 1 9 19 1 38 23 -0.59 6 0 0 1 29 50 16 4 29.5 58 154 19 1 18 21 1 41 21 1 15 18 1 44 24 -0.59 7 0 0 1 36 28 16 4 34.3 58 156 18 1 24 58 1 48 0 1 21 55 1 51 3 -0.59 8 0 0 1 43 44 16 4 39.1 59 157 17 1 32 13 1 55 16 1 29 10 1 58 20 -0.59 9 0 0 1 51 37 16 4 44.0 59 159 16 1 40 5 2 3 10 1 37 2 2 6 14 -0.59 10 0 0 2 0 8 16 4 48.9 59 161 15 1 48 35 2 11 42 1 45 31 2 14 46 -0.59 11 0 0 2 9 16 16 4 53.8 59 163 14 1 57 42 2 20 51 1 54 38 2 23 56 -0.59 12 0 0 2 19 2 16 4 58.7 59 164 13 2 7 27 2 30 38 2 4 23 2 33 43 -0.59 13 0 0 2 29 25 16 5 3.6 60 166 12 2 17 49 2 41 2 2 14 44 2 44 8 -0.59 14 0 0 2 40 26 16 5 8.5 60 168 11 2 28 48 2 52 4 2 25 43 2 55 10 -0.59 15 0 0 2 52 4 16 5 13.5 60 170 10 2 40 25 3 3 44 2 37 20 3 6 50 -0.59 16 0 0 3 4 19 16 5 18.4 60 172 9 2 52 39 3 16 0 2 49 33 3 19 7 -0.59 17 0 0 3 17 11 16 5 23.4 59 173 8 3 5 30 3 28 54 3 2 24 3 32 1 -0.59 18 0 0 3 30 41 16 5 28.3 59 175 7 3 18 58 3 42 26 3 15 52 3 45 33 -0.59 19 0 0 3 44 48 16 5 33.3 59 177 6 3 33 4 3 56 35 3 29 57 3 59 42 -0.59 20 0 0 3 59 32 16 5 38.3 59 179 5 3 47 46 4 11 20 3 44 39 4 14 28 -0.59 21 0 0 4 14 53 16 5 43.2 59 181 4 4 3 5 4 26 43 3 59 58 4 29 51 -0.59 22 0 0 4 30 51 16 5 48.2 58 182 3 4 19 1 4 42 43 4 15 54 4 45 51 -0.59 23 0 0 4 47 26 16 5 53.1 58 184 2 4 35 34 4 59 19 4 32 26 5 2 28 -0.59 24 0 0 5 4 37 16 5 58.1 58 186 0 4 52 44 5 16 32 4 49 35 5 19 42 -0.59 25 0 0 5 22 25 16 6 3.0 57 187 -1 5 10 29 5 34 22 5 7 20 5 37 32 -0.59 26 0 0 5 40 49 16 6 7.9 57 189 -2 5 28 51 5 52 48 5 25 41 5 55 58 -0.59 27 0 0 5 59 49 16 6 12.8 56 190 -3 5 47 49 6 11 50 5 44 39 6 15 1 -0.59 28 0 0 6 19 25 16 6 17.7 56 192 -4 6 7 23 6 31 28 6 4 12 6 34 40 -0.59 29 0 0 6 39 36 16 6 22.6 55 193 -5 6 27 32 6 51 41 6 24 21 6 54 54 -0.59 30 0 0 7 0 23 16 6 27.4 55 195 -6 6 48 17 7 12 31 6 45 5 7 15 44 -0.59 31 0 0 7 21 45 16 6 32.2 54 196 -7 7 9 37 7 33 55 7 6 25 7 37 9 -0.59 32 0 0 7 43 43 16 6 37.0 53 197 -8 7 31 32 7 55 55 7 28 19 7 59 9 -0.59 33 0 0 8 6 14 16 6 41.8 53 199 -9 7 54 2 8 18 29 7 50 48 8 21 44 -0.59 34 0 0 8 29 20 16 6 46.5 52 200 -10 8 17 5 8 41 37 8 13 51 8 44 53 -0.59 35 0 0 8 53 0 16 6 51.2 51 201 -11 8 40 43 9 5 20 8 37 28 9 8 36 -0.59 36 0 0 9 17 14 16 6 55.9 51 202 -12 9 4 54 9 29 36 9 1 38 9 32 52 -0.59 37 0 0 9 42 1 16 7 0.5 50 203 -13 9 29 38 9 54 25 9 26 22 9 57 42 -0.59 38 0 0 10 7 20 16 7 5.1 49 204 -14 9 54 55 10 19 47 9 51 38 10 23 5 -0.59 39 0 0 10 33 12 16 7 9.6 48 205 -15 10 20 44 10 45 41 10 17 26 10 49 0 -0.59 40 0 0 10 59 35 16 7 14.1 47 206 -16 10 47 5 11 12 7 10 43 47 11 15 26 -0.58 41 0 0 11 26 30 16 7 18.5 47 207 -17 11 13 57 11 39 4 11 10 38 11 42 24 -0.58 42 0 0 11 53 55 16 7 22.8 46 208 -18 11 41 20 12 6 32 11 38 0 12 9 53 -0.58 43 0 0 12 21 51 16 7 27.2 45 209 -19 12 9 13 12 34 30 12 5 52 12 37 52 -0.58 44 0 0 12 50 16 16 7 31.4 44 210 -20 12 37 35 13 2 58 12 34 14 13 6 20 -0.58 45 0 0 13 19 10 16 7 35.6 43 211 -21 13 6 26 13 31 54 13 3 4 13 35 17 -0.58 46 0 0 13 48 31 16 7 39.7 42 212 -22 13 35 46 14 1 19 13 32 23 14 4 43 -0.58 47 0 0 14 18 21 16 7 43.8 41 212 -23 14 5 33 14 31 11 14 2 9 14 34 36 -0.58 48 0 0 14 48 37 16 7 47.7 40 213 -24 14 35 46 15 1 30 14 32 22 15 4 55 -0.58 49 0 0 15 19 19 16 7 51.6 39 214 -25 15 6 26 15 32 15 15 3 1 15 35 41 -0.58 50 0 0 15 50 27 16 7 55.5 38 214 -26 15 37 30 16 3 25 15 34 5 16 6 51 -0.58 51 0 0 16 21 58 16 7 59.2 37 215 -27 16 8 59 16 34 59 16 5 33 16 38 26 -0.58 52 0 0 16 53 53 16 8 2.9 36 216 -28 16 40 52 17 6 56 16 37 25 17 10 24 -0.58 53 0 0 17 26 10 16 8 6.5 35 216 -29 17 13 6 17 39 16 17 9 39 17 42 45 -0.58 54 0 0 17 58 49 16 8 9.9 34 217 -30 17 45 43 18 11 58 17 42 14 18 15 27 -0.58 55 0 0 18 31 48 16 8 13.3 33 218 -31 18 18 39 18 45 0 18 15 11 18 48 30 -0.58 56 0 0 19 5 7 16 8 16.6 32 218 -32 18 51 56 19 18 21 18 48 26 19 21 52 -0.58 57 0 0 19 38 45 16 8 19.9 31 219 -33 19 25 31 19 52 1 19 22 0 19 55 32 -0.58 58 0 0 20 12 39 16 8 23.0 30 219 -34 19 59 23 20 25 58 19 55 52 20 29 30 -0.58 59 0 0 20 46 50 16 8 26.0 29 220 -35 20 33 32 21 0 11 20 30 0 21 3 44 -0.58 60 0 0 21 21 16 16 8 28.9 28 220 -36 21 7 56 21 34 40 21 4 24 21 38 13 -0.58 61 0 0 21 55 57 16 8 31.7 27 221 -37 21 42 34 22 9 22 21 39 1 22 12 56 -0.58 62 0 0 22 30 50 16 8 34.4 26 222 -37 22 17 24 22 44 17 22 13 51 22 47 52 -0.58 63 0 0 23 5 55 16 8 37.0 25 222 -38 22 52 27 23 19 24 22 48 53 23 22 59 -0.58 64 0 0 23 41 10 16 8 39.5 24 223 -39 23 27 40 23 54 41 23 24 6 23 58 17 -0.58 65 0 0 24 16 34 16 8 41.9 23 223 -40 24 3 3 24 30 8 23 59 28 24 33 44 -0.58 66 0 0 24 52 6 16 8 44.2 22 224 -41 24 38 33 25 5 42 24 34 58 25 9 18 -0.58 67 0 0 25 27 45 16 8 46.4 21 224 -41 25 14 10 25 41 22 25 10 34 25 45 0 -0.58 68 0 0 26 3 30 16 8 48.4 20 225 -42 25 49 53 26 17 9 25 46 16 26 20 46 -0.58 69 0 0 26 39 18 16 8 50.4 19 225 -43 26 25 40 26 52 59 26 22 3 26 56 37 -0.58 70 0 0 27 15 10 16 8 52.2 18 226 -44 27 1 30 27 28 52 26 57 53 27 32 30 -0.58 71 0 0 27 51 3 16 8 53.9 16 226 -44 27 37 21 28 4 46 27 33 44 28 8 25 -0.58 72 0 0 28 26 56 16 8 55.6 15 227 -45 28 13 13 28 40 41 28 9 35 28 44 20 -0.58 73 0 0 29 2 48 16 8 57.1 14 227 -45 28 49 4 29 16 35 28 45 26 29 20 14 -0.58 74 0 0 29 38 39 16 8 58.5 13 228 -46 29 24 53 29 52 26 29 21 15 29 56 6 -0.58 75 0 0 30 14 25 16 8 59.7 12 228 -47 30 0 39 30 28 14 29 57 0 30 31 54 -0.59 76 0 0 30 50 7 16 9 0.9 11 229 -47 30 36 20 31 3 57 30 32 41 31 7 37 -0.59 77 0 0 31 25 43 16 9 2.0 10 229 -48 31 11 55 31 39 33 31 8 16 31 43 14 -0.59 78 0 0 32 1 12 16 9 2.9 9 230 -48 31 47 23 32 15 2 31 43 44 32 18 43 -0.59 79 0 0 32 36 32 16 9 3.8 8 231 -49 32 22 43 32 50 24 32 19 3 32 54 4 -0.59 80 0 0 33 11 43 16 9 4.5 7 231 -49 32 57 53 33 25 35 32 54 14 33 29 16 -0.59 81 0 0 33 46 43 16 9 5.1 6 232 -49 33 32 53 34 0 36 33 29 14 34 4 17 -0.59 82 0 0 34 21 32 16 9 5.7 5 232 -50 34 7 42 34 35 24 34 4 2 34 39 5 -0.59 83 0 0 34 56 7 16 9 6.1 4 233 -50 34 42 17 35 10 0 34 38 37 35 13 41 -0.60 84 0 0 35 30 29 16 9 6.4 3 233 -50 35 16 39 35 44 22 35 12 59 35 48 3 -0.60 85 0 0 36 4 35 16 9 6.7 2 234 -51 35 50 45 36 18 28 35 47 6 36 22 9 -0.62 86 0 0 36 38 26 16 9 6.8 1 235 -51 36 24 36 36 52 18 36 20 57 36 55 59 -0.65 87 0 0 37 12 0 16 9 6.9 0 235 -51 36 58 10 .. .. .. 36 54 31 .. .. .. -1.30 Uncertainty in time = +/- 1 secs Prediction of 2023 Jul 15.6 Data for the target star ------------------------ * name: UCAC4 315-219810 * constellation : Sagittarius * BCRS position with proper motion to date of event [h,m,s ; °,',"] RA: 18 49 48.8702 DE: -27 06 00.013 * GCRS Astrometric position with proper motion and parallax to date of event [h,m,s ; °,',"] RA: 18 49 48.8701 DE: -27 06 00.013 * position source: Gaia DR3 * standard error: RA,DE [mas]: (0.100,0.100) * V mag [mag]: 11.0 * B mag [mag]: 11.2 * Diameter [mas]: 0.00 * remarks: Data for the minor planet ------------------------- * general information: (number) name: (169) Zelia asteroid class: approx. diameter [km]: 36 approx. diameter ["]: 0.026 distance from Earth [AU]: 1.94090 asteroid position offset in RA [mas]: 0 asteroid position offset in DE [mas]: 0 * orbital information: orbit source: JPL#54 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): 0.022", 0.003", 83.835° remarks: * orbital elements for (169)Zelia : Mean anomaly = 344.7800789135 deg Arg. of pericenter = 334.8135294849 deg Long. of node = 354.7188976042 deg Inclination = 5.5000946589 deg Eccentricity = 0.1302121354 Semimajor axis = 2.3583006114 AU Perihelion dist = 2.0512212529 AU Mag: H = 9.53, G = 0.15 Epoch of elements : MJD 60594.67027654 TDT (2024 Oct 11.6703) ------ occelmnt file for Occult BEGIN ----------------------------------- JPL#542023Apr24,1.56,2024,10,11,16.086643,-0.106395,0.495294,12.893810,2.771679,0.005293,0.000421,0.000000,0.000000 20.8024,-27.0729,-64.66,-7.38,False UCAC4 315-219810,18.83024177,-27.1000035,11.18,11.01,10.92,0.0,0,,18.85590376,-27.0729027,2.88,2.55,0,0,0 169,Zelia,13.81,36.336,1.9409,0,0,4.375,12.56,,2.2,0 0,344.5977,2024,10,11,334.8135,354.7189,5.5001,0.13021,2.35830,2.05122,9.53,5.0,0.15 1.133,0.0223,0.0025,84,0.0034,Known errors,0.70,0,-1,-1 20241011_219810,60140.63 ------ occelmnt file for Occult END ----------------------------------- ============================================ Calculator (s): Steve Preston Date of update: 2023 Jul 15, 15:02 UT Steve Preston 7640 NE 32nd St Medina, WA 98039 stevepr@acm.org