IOTA/IOTA-ES occultation update for (1080) Orchis / TYC 6793-01691-1 event on 2024 Jan 16, 00:38 UT Visible from Summary ------- On 2024 Jan 16 UT, the 22.8185850888208 km diameter asteroid (1080) Orchis will occult a 11.4 mag star in the constellation Scorpius for observers along a path across . In the case of an occultation, the combined light of the asteroid and the star will drop by 6.92 mag to 18.32 mag (the magnitude of the asteroid) for at most 0.680 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 Jan 16, 00:36 - 2024 Jan 16, 00:41 * geocentric midpoint of event [JD]: 2460325.52702671 * magnitude of target star: 11.40 * magnitude drop [mag]: 6.92 * estimated maximum duration [s]: 0.680 * Moon: 26 % sunlit, 111° distance * Sun: 50° distance * rough path description: The occultation path -------------------- * approximate projected width [km]: 27 * 1 sigma uncertainty interval [path widths]: +/- 0.33 * 1 sigma uncertainty interval [seconds]: +/- 0.5 * 1 sigma uncertainty interval approx RA,DE ["]: (+/- 0.006, +/- 0.003) * 1 sigma uncertainty ellipse (major, minor, PA): (0.006", 0.003", 101°) * approx speed of asteroid's shadow [km/s]: 33.8794 * website for maps: http://www.asteroidoccultation.com Path Coordinates: Occultation of TYC 6793-01691-1 by 1080 Orchis on 2024 Jan 16 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 52 0 0 40 51 49 0 36 16.1 0 123 -37 40 43 4 .. .. .. 40 37 17 .. .. .. .... 53 0 0 40 22 22 0 36 16.1 1 123 -36 40 13 36 40 31 8 40 7 49 40 36 57 -0.10 54 0 0 39 52 36 0 36 16.2 2 124 -35 39 43 51 40 1 23 39 38 3 40 7 13 -0.36 55 0 0 39 22 33 0 36 16.3 3 125 -35 39 13 47 39 31 21 39 7 59 39 37 10 -0.45 56 0 0 38 52 13 0 36 16.5 4 125 -34 38 43 27 39 1 1 38 37 39 39 6 51 -0.49 57 0 0 38 21 37 0 36 16.7 5 126 -33 38 12 50 38 30 25 38 7 2 38 36 15 -0.52 58 0 0 37 50 46 0 36 17.1 6 126 -32 37 41 58 37 59 34 37 36 10 38 5 24 -0.54 59 0 0 37 19 39 0 36 17.4 6 127 -31 37 10 52 37 28 28 37 5 4 37 34 18 -0.55 60 0 0 36 48 19 0 36 17.9 7 128 -31 36 39 32 36 57 8 36 33 44 37 2 58 -0.56 61 0 0 36 16 47 0 36 18.4 8 128 -30 36 7 59 36 25 35 36 2 11 36 31 25 -0.57 62 0 0 35 45 2 0 36 19.0 9 129 -29 35 36 15 35 53 50 35 30 26 35 59 40 -0.57 63 0 0 35 13 6 0 36 19.6 10 129 -28 35 4 19 35 21 54 34 58 31 35 27 44 -0.58 64 0 0 34 41 0 0 36 20.3 11 130 -27 34 32 13 34 49 48 34 26 25 34 55 38 -0.58 65 0 0 34 8 45 0 36 21.1 12 131 -26 33 59 58 34 17 32 33 54 10 34 23 22 -0.58 66 0 0 33 36 21 0 36 21.9 13 131 -25 33 27 35 33 45 8 33 21 47 33 50 58 -0.59 67 0 0 33 3 51 0 36 22.9 14 132 -24 32 55 5 33 12 38 32 49 18 33 18 27 -0.59 68 0 0 32 31 14 0 36 23.9 15 132 -24 32 22 29 32 40 1 32 16 42 32 45 49 -0.59 69 0 0 31 58 33 0 36 24.9 16 133 -23 31 49 48 32 7 18 31 44 1 32 13 7 -0.59 70 0 0 31 25 47 0 36 26.0 17 134 -22 31 17 3 31 34 32 31 11 17 31 40 21 -0.60 71 0 0 30 52 59 0 36 27.2 18 134 -21 30 44 16 31 1 44 30 38 30 31 7 31 -0.60 72 0 0 30 20 9 0 36 28.5 19 135 -20 30 11 26 30 28 52 30 5 40 30 34 40 -0.60 73 0 0 29 47 18 0 36 29.9 20 135 -19 29 38 36 29 56 1 29 32 51 30 1 47 -0.60 74 0 0 29 14 27 0 36 31.3 21 136 -18 29 5 46 29 23 9 29 0 1 29 28 55 -0.60 75 0 0 28 41 38 0 36 32.8 22 137 -17 28 32 57 28 50 19 28 27 13 28 56 5 -0.60 76 0 0 28 8 51 0 36 34.3 23 137 -16 28 0 12 28 17 31 27 54 28 28 23 16 -0.60 77 0 0 27 36 8 0 36 35.9 24 138 -15 27 27 30 27 44 48 27 21 47 27 50 32 -0.61 78 0 0 27 3 30 0 36 37.6 25 138 -14 26 54 53 27 12 8 26 49 11 27 17 52 -0.61 79 0 0 26 30 58 0 36 39.4 26 139 -13 26 22 22 26 39 35 26 16 40 26 45 18 -0.61 80 0 0 25 58 33 0 36 41.3 27 140 -12 25 49 57 26 7 9 25 44 17 26 12 51 -0.61 81 0 0 25 26 15 0 36 43.2 28 140 -11 25 17 41 25 34 50 25 12 1 25 40 32 -0.61 82 0 0 24 54 7 0 36 45.1 29 141 -10 24 45 34 25 2 41 24 39 55 25 8 21 -0.61 83 0 0 24 22 9 0 36 47.2 30 141 -9 24 13 37 24 30 42 24 7 59 24 36 21 -0.61 84 0 0 23 50 22 0 36 49.3 31 142 -8 23 41 52 23 58 54 23 36 15 24 4 32 -0.61 85 0 0 23 18 48 0 36 51.4 32 143 -7 23 10 19 23 27 18 23 4 42 23 32 56 -0.61 86 0 0 22 47 26 0 36 53.7 33 143 -5 22 38 59 22 55 55 22 33 23 23 1 32 -0.61 87 0 0 22 16 20 0 36 56.0 34 144 -4 22 7 53 22 24 47 22 2 18 22 30 23 -0.61 88 0 0 21 45 28 0 36 58.3 35 145 -3 21 37 3 21 53 54 21 31 29 21 59 29 -0.61 89 0 0 21 14 52 0 37 0.7 36 146 -2 21 6 29 21 23 17 21 0 56 21 28 51 -0.62 90 0 0 20 44 34 0 37 3.2 37 146 -1 20 36 12 20 52 57 20 30 40 20 58 30 -0.62 91 0 0 20 14 33 0 37 5.7 38 147 0 20 6 12 20 22 55 20 0 41 20 28 27 -0.62 92 0 0 19 44 51 0 37 8.3 39 148 1 19 36 32 19 53 12 19 31 2 19 58 43 -0.62 93 0 0 19 15 30 0 37 10.9 40 149 2 19 7 12 19 23 48 19 1 43 19 29 19 -0.62 94 0 0 18 46 28 0 37 13.6 41 149 3 18 38 12 18 54 45 18 32 44 19 0 15 -0.62 95 0 0 18 17 48 0 37 16.4 42 150 4 18 9 33 18 26 4 18 4 6 18 31 32 -0.62 96 0 0 17 49 30 0 37 19.1 42 151 5 17 41 17 17 57 45 17 35 51 18 3 12 -0.62 97 0 0 17 21 35 0 37 22.0 43 152 6 17 13 24 17 29 48 17 7 59 17 35 15 -0.62 98 0 0 16 54 4 0 37 24.8 44 153 7 16 45 54 17 2 15 16 40 30 17 7 41 -0.62 99 0 0 16 26 57 0 37 27.8 45 154 8 16 18 48 16 35 7 16 13 25 16 40 31 -0.62 100 0 0 16 0 15 0 37 30.7 46 155 9 15 52 8 16 8 23 15 46 46 16 13 47 -0.62 101 0 0 15 33 59 0 37 33.7 47 156 11 15 25 53 15 42 5 15 20 32 15 47 28 -0.62 102 0 0 15 8 9 0 37 36.7 47 157 12 15 0 4 15 16 14 14 54 44 15 21 35 -0.62 103 0 0 14 42 45 0 37 39.8 48 158 13 14 34 42 14 50 49 14 29 23 14 56 9 -0.62 104 0 0 14 17 49 0 37 42.9 49 159 14 14 9 48 14 25 52 14 4 30 14 31 11 -0.62 105 0 0 13 53 21 0 37 46.0 50 160 15 13 45 21 14 1 22 13 40 4 14 6 41 -0.62 106 0 0 13 29 22 0 37 49.2 50 161 16 13 21 23 13 37 21 13 16 7 13 42 39 -0.62 107 0 0 13 5 51 0 37 52.4 51 163 17 12 57 54 13 13 49 12 52 39 13 19 6 -0.62 108 0 0 12 42 50 0 37 55.6 52 164 18 12 34 54 12 50 46 12 29 40 12 56 2 -0.63 109 0 0 12 20 18 0 37 58.8 52 165 19 12 12 24 12 28 13 12 7 11 12 33 28 -0.63 110 0 0 11 58 17 0 38 2.1 53 167 20 11 50 24 12 6 11 11 45 12 12 11 25 -0.63 111 0 0 11 36 47 0 38 5.4 53 168 21 11 28 55 11 44 39 11 23 43 11 49 52 -0.63 112 0 0 11 15 47 0 38 8.7 54 169 22 11 7 57 11 23 38 11 2 46 11 28 50 -0.63 113 0 0 10 55 19 0 38 12.0 55 171 23 10 47 30 11 3 8 10 42 20 11 8 19 -0.63 114 0 0 10 35 22 0 38 15.3 55 172 24 10 27 34 10 43 10 10 22 25 10 48 21 -0.63 115 0 0 10 15 57 0 38 18.7 55 174 25 10 8 11 10 23 44 10 3 3 10 28 54 -0.63 116 0 0 9 57 5 0 38 22.0 56 176 26 9 49 20 10 4 51 9 44 12 10 9 59 -0.63 117 0 0 9 38 45 0 38 25.4 56 177 27 9 31 1 9 46 30 9 25 54 9 51 37 -0.63 118 0 0 9 20 58 0 38 28.7 57 179 28 9 13 15 9 28 41 9 8 9 9 33 48 -0.63 119 0 0 9 3 44 0 38 32.1 57 180 29 8 56 2 9 11 26 8 50 57 9 16 32 -0.63 120 0 0 8 47 3 0 38 35.5 57 182 30 8 39 22 8 54 44 8 34 18 8 59 49 -0.63 121 0 0 8 30 55 0 38 38.9 57 184 31 8 23 16 8 38 35 8 18 12 8 43 40 -0.63 122 0 0 8 15 21 0 38 42.3 57 186 32 8 7 43 8 23 0 8 2 40 8 28 4 -0.63 123 0 0 8 0 21 0 38 45.7 58 187 33 7 52 44 8 7 59 7 47 41 8 13 2 -0.63 124 0 0 7 45 55 0 38 49.1 58 189 34 7 38 19 7 53 32 7 33 17 7 58 35 -0.63 125 0 0 7 32 3 0 38 52.5 58 191 35 7 24 27 7 39 39 7 19 26 7 44 41 -0.63 126 0 0 7 18 45 0 38 55.8 58 193 36 7 11 10 7 26 20 7 6 10 7 31 21 -0.63 127 0 0 7 6 2 0 38 59.2 58 194 37 6 58 28 7 13 36 6 53 28 7 18 37 -0.63 128 0 0 6 53 52 0 39 2.6 58 196 38 6 46 20 7 1 25 6 41 20 7 6 26 -0.63 129 0 0 6 42 17 0 39 6.0 58 198 39 6 34 46 6 49 50 6 29 47 6 54 50 -0.63 130 0 0 6 31 17 0 39 9.3 57 200 40 6 23 46 6 38 49 6 18 48 6 43 49 -0.63 131 0 0 6 20 52 0 39 12.6 57 201 41 6 13 22 6 28 23 6 8 24 6 33 22 -0.63 132 0 0 6 11 2 0 39 16.0 57 203 42 6 3 32 6 18 32 5 58 35 6 23 30 -0.63 133 0 0 6 1 46 0 39 19.3 57 205 43 5 54 17 6 9 15 5 49 20 6 14 13 -0.63 134 0 0 5 53 5 0 39 22.6 56 206 44 5 45 37 6 0 34 5 40 40 6 5 32 -0.63 135 0 0 5 44 59 0 39 25.9 56 208 44 5 37 31 5 52 28 5 32 35 5 57 25 -0.63 136 0 0 5 37 28 0 39 29.1 56 209 45 5 30 1 5 44 56 5 25 5 5 49 53 -0.63 137 0 0 5 30 33 0 39 32.4 55 211 46 5 23 6 5 38 0 5 18 10 5 42 57 -0.63 138 0 0 5 24 12 0 39 35.6 55 212 47 5 16 46 5 31 39 5 11 50 5 36 35 -0.63 139 0 0 5 18 26 0 39 38.8 54 213 48 5 11 0 5 25 53 5 6 6 5 30 49 -0.63 140 0 0 5 13 16 0 39 42.0 54 215 49 5 5 50 5 20 42 5 0 56 5 25 38 -0.63 141 0 0 5 8 41 0 39 45.2 53 216 50 5 1 15 5 16 6 4 56 21 5 21 2 -0.63 142 0 0 5 4 40 0 39 48.3 53 217 50 4 57 15 5 12 6 4 52 21 5 17 1 -0.63 143 0 0 5 1 15 0 39 51.5 52 218 51 4 53 51 5 8 41 4 48 57 5 13 36 -0.63 144 0 0 4 58 26 0 39 54.5 52 219 52 4 51 1 5 5 51 4 46 7 5 10 46 -0.63 145 0 0 4 56 11 0 39 57.6 51 221 53 4 48 47 5 3 36 4 43 53 5 8 31 -0.63 146 0 0 4 54 31 0 40 0.6 50 222 53 4 47 7 5 1 56 4 42 14 5 6 51 -0.63 147 0 0 4 53 27 0 40 3.7 50 223 54 4 46 3 5 0 52 4 41 9 5 5 47 -0.63 148 0 0 4 52 58 0 40 6.6 49 224 55 4 45 34 5 0 23 4 40 40 5 5 17 -0.63 149 0 0 4 53 4 0 40 9.6 48 224 55 4 45 40 5 0 29 4 40 47 5 5 23 -0.63 150 0 0 4 53 45 0 40 12.5 48 225 56 4 46 21 5 1 10 4 41 28 5 6 5 -0.63 151 0 0 4 55 2 0 40 15.4 47 226 57 4 47 38 5 2 26 4 42 44 5 7 21 -0.63 152 0 0 4 56 53 0 40 18.2 46 227 57 4 49 29 5 4 18 4 44 35 5 9 13 -0.63 153 0 0 4 59 20 0 40 21.0 45 228 58 4 51 55 5 6 45 4 47 1 5 11 39 -0.63 154 0 0 5 2 21 0 40 23.8 45 228 58 4 54 57 5 9 46 4 50 3 5 14 41 -0.63 155 0 0 5 5 58 0 40 26.5 44 229 59 4 58 33 5 13 23 4 53 39 5 18 18 -0.63 156 0 0 5 10 9 0 40 29.2 43 230 59 5 2 44 5 17 35 4 57 50 5 22 30 -0.63 157 0 0 5 14 56 0 40 31.9 42 230 60 5 7 30 5 22 22 5 2 36 5 27 17 -0.63 158 0 0 5 20 17 0 40 34.5 41 231 60 5 12 51 5 27 43 5 7 57 5 32 39 -0.63 159 0 0 5 26 13 0 40 37.0 40 232 61 5 18 47 5 33 40 5 13 52 5 38 36 -0.63 160 0 0 5 32 44 0 40 39.6 40 232 61 5 25 18 5 40 12 5 20 22 5 45 8 -0.63 161 0 0 5 39 50 0 40 42.1 39 233 61 5 32 23 5 47 18 5 27 28 5 52 15 -0.63 162 0 0 5 47 31 0 40 44.5 38 233 61 5 40 3 5 54 59 5 35 7 5 59 56 -0.63 163 0 0 5 55 46 0 40 46.9 37 234 62 5 48 18 6 3 15 5 43 21 6 8 12 -0.63 164 0 0 6 4 36 0 40 49.2 36 234 62 5 57 7 6 12 5 5 52 10 6 17 3 -0.63 165 0 0 6 14 0 0 40 51.5 35 235 62 6 6 30 6 21 30 6 1 33 6 26 28 -0.63 166 0 0 6 23 58 0 40 53.8 34 235 62 6 16 28 6 31 29 6 11 30 6 36 27 -0.63 167 0 0 6 34 31 0 40 56.0 33 235 62 6 27 0 6 42 2 6 22 2 6 47 1 -0.63 168 0 0 6 45 38 0 40 58.1 32 236 62 6 38 6 6 53 10 6 33 8 6 58 10 -0.63 169 0 0 6 57 19 0 41 0.2 31 236 62 6 49 46 7 4 52 6 44 47 7 9 52 -0.63 170 0 0 7 9 34 0 41 2.3 31 236 62 7 2 1 7 17 7 6 57 1 7 22 8 -0.63 171 0 0 7 22 22 0 41 4.3 30 237 62 7 14 49 7 29 57 7 9 48 7 34 58 -0.63 172 0 0 7 35 45 0 41 6.2 29 237 61 7 28 10 7 43 20 7 23 9 7 48 22 -0.64 173 0 0 7 49 41 0 41 8.1 28 237 61 7 42 5 7 57 17 7 37 4 8 2 20 -0.64 174 0 0 8 4 10 0 41 9.9 27 238 61 7 56 34 8 11 48 7 51 32 8 16 51 -0.64 175 0 0 8 19 13 0 41 11.6 26 238 61 8 11 35 8 26 51 8 6 33 8 31 55 -0.64 176 0 0 8 34 49 0 41 13.3 25 238 60 8 27 10 8 42 28 8 22 7 8 47 32 -0.64 177 0 0 8 50 57 0 41 15.0 24 239 60 8 43 17 8 58 38 8 38 13 9 3 43 -0.64 178 0 0 9 7 38 0 41 16.6 23 239 59 8 59 57 9 15 20 8 54 53 9 20 26 -0.64 179 0 0 9 24 52 0 41 18.1 22 239 59 9 17 10 9 32 34 9 12 4 9 37 41 -0.64 180 0 0 9 42 38 0 41 19.5 21 239 58 9 34 55 9 50 21 9 29 48 9 55 29 -0.64 -179 0 0 10 0 55 0 41 20.9 20 240 58 9 53 11 10 8 40 9 48 4 10 13 48 -0.64 -178 0 0 10 19 45 0 41 22.3 19 240 57 10 11 59 10 27 31 10 6 51 10 32 40 -0.64 -177 0 0 10 39 5 0 41 23.5 18 240 57 10 31 19 10 46 53 10 26 10 10 52 2 -0.64 -176 0 0 10 58 57 0 41 24.7 17 240 56 10 51 9 11 6 46 10 46 0 11 11 56 -0.64 -175 0 0 11 19 20 0 41 25.8 16 241 55 11 11 31 11 27 10 11 6 20 11 32 21 -0.64 -174 0 0 11 40 13 0 41 26.9 15 241 55 11 32 22 11 48 4 11 27 11 11 53 16 -0.64 -173 0 0 12 1 36 0 41 27.9 14 241 54 11 53 44 12 9 28 11 48 32 12 14 42 -0.64 -172 0 0 12 23 29 0 41 28.8 13 241 53 12 15 36 12 31 23 12 10 23 12 36 37 -0.64 -171 0 0 12 45 51 0 41 29.6 12 242 52 12 37 56 12 53 46 12 32 43 12 59 1 -0.64 -170 0 0 13 8 42 0 41 30.4 10 242 52 13 0 46 13 16 38 12 55 32 13 21 54 -0.64 -169 0 0 13 32 1 0 41 31.1 9 242 51 13 24 4 13 39 59 13 18 49 13 45 16 -0.64 -168 0 0 13 55 49 0 41 31.8 8 242 50 13 47 50 14 3 48 13 42 34 14 9 6 -0.65 -167 0 0 14 20 4 0 41 32.3 7 243 49 14 12 4 14 28 5 14 6 47 14 33 23 -0.65 -166 0 0 14 44 46 0 41 32.8 6 243 48 14 36 45 14 52 48 14 31 26 14 58 8 -0.65 -165 0 0 15 9 55 0 41 33.2 5 243 47 15 1 52 15 17 58 14 56 33 15 23 19 -0.66 -164 0 0 15 35 29 0 41 33.5 4 243 46 15 27 25 15 43 34 15 22 5 15 48 56 -0.66 -163 0 0 16 1 29 0 41 33.8 3 244 46 15 53 23 16 9 36 15 48 2 16 14 58 -0.68 -162 0 0 16 27 54 0 41 34.0 2 244 45 16 19 47 16 36 2 16 14 24 16 41 25 -0.70 -161 0 0 16 54 43 0 41 34.1 1 244 44 16 46 34 17 2 52 16 41 11 17 8 16 -0.78 -160 0 0 .. .. .... .. .. .. .. .. .. 17 13 45 .. .. .. 17 8 21 .. .. .. .... Uncertainty in time = +/- 0 secs Prediction of 2023 Jul 12.0 Data for the target star ------------------------ * name: TYC 6793-01691-1 * constellation : Scorpius * BCRS position with proper motion to date of event [h,m,s ; °,',"] RA: 16 11 50.9919 DE: -24 06 36.854 * GCRS Astrometric position with proper motion and parallax to date of event [h,m,s ; °,',"] RA: 16 11 50.9919 DE: -24 06 36.854 * position source: Gaia DR3 * standard error: RA,DE [mas]: (0.300,0.200) * V mag [mag]: 11.4 * B mag [mag]: 12.3 * Diameter [mas]: 0.10 * remarks: Data for the minor planet ------------------------- * general information: (number) name: (1080) Orchis asteroid class: approx. diameter [km]: 23 approx. diameter ["]: 0.009 distance from Earth [AU]: 3.57680 asteroid position offset in RA [mas]: 0 asteroid position offset in DE [mas]: 0 * orbital information: orbit source: JPL#44 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): 0.006", 0.003", 101.129° remarks: * orbital elements for (1080)Orchis : Mean anomaly = 167.3782308709 deg Arg. of pericenter = 57.0009867900 deg Long. of node = 1.9611017387 deg Inclination = 4.5868559128 deg Eccentricity = 0.2571964593 Semimajor axis = 2.4208103604 AU Perihelion dist = 1.7981865072 AU Mag: H = 12.33, G = 0.15 Epoch of elements : MJD 60325.02702671 TDT (2024 Jan 16.0270) ------ occelmnt file for Occult BEGIN ----------------------------------- JPL#442023Apr24,0.68,2024,1,16,0.648641,0.123581,0.519052,18.609308,-4.400401,-0.004574,0.000630,-0.000001,0.000000 118.6257,-24.1716,172.63,-21.07,False TYC 6793-01691-1,16.19749769,-24.1102372,12.26,11.40,10.94,0.1,0,,16.22120783,-24.1716382,6.92,6.93,0,0,0 1080,Orchis,18.32,23.078,3.5768,0,0,3.344,-10.82,,1.2,0 0,167.1095,2024,1,15,57.0010,1.9611,4.5869,0.25720,2.42081,1.79819,12.33,5.0,0.15 1.331,0.0060,0.0029,101,0.0029,Known errors,1.65,0,-1,-1 20240116_1691-1,60137.02 ------ occelmnt file for Occult END ----------------------------------- ============================================ Calculator (s): Steve Preston Date of update: 2023 Jul 12, 00:23 UT Steve Preston 7640 NE 32nd St Medina, WA 98039 stevepr@acm.org