IOTA/IOTA-ES occultation update for (746) Marlu / UCAC4 251-100153 event on 2024 Sep 20, 01:26 UT Visible from Summary ------- On 2024 Sep 20 UT, the 71.8525695869426 km diameter asteroid (746) Marlu will occult a 11.0 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 3.81 mag to 14.82 mag (the magnitude of the asteroid) for at most 2.870 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 Sep 20, 01:23 - 2024 Sep 20, 01:30 * geocentric midpoint of event [JD]: 2460573.56037846 * magnitude of target star: 11.04 * magnitude drop [mag]: 3.81 * estimated maximum duration [s]: 2.870 * Moon: 94 % sunlit, 128° distance * Sun: 79° distance * rough path description: The occultation path -------------------- * approximate projected width [km]: 87 * 1 sigma uncertainty interval [path widths]: +/- 0.24 * 1 sigma uncertainty interval [seconds]: +/- 1.7 * 1 sigma uncertainty interval approx RA,DE ["]: (+/- 0.026, +/- 0.007) * 1 sigma uncertainty ellipse (major, minor, PA): (0.026", 0.003", 103°) * approx speed of asteroid's shadow [km/s]: 25.6881 * website for maps: http://www.asteroidoccultation.com Path Coordinates: Occultation of UCAC4 251-100153 by 746 Marlu on 2024 Sep 20 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 158 0 0 18 1 40 1 23 27.1 0 133 73 17 29 54 .. .. .. 17 14 37 .. .. .. .... 159 0 0 17 9 20 1 23 27.2 1 133 74 16 37 49 17 41 5 16 22 39 17 56 33 -0.15 160 0 0 16 17 40 1 23 27.4 3 133 75 15 46 24 16 49 11 15 31 21 17 4 31 -0.38 161 0 0 15 26 43 1 23 27.8 4 133 75 14 55 42 15 57 59 14 40 46 16 13 12 -0.46 162 0 0 14 36 31 1 23 28.3 5 134 76 14 5 44 15 7 31 13 50 55 15 22 37 -0.50 163 0 0 13 47 4 1 23 28.9 6 134 76 13 16 32 14 17 49 13 1 50 14 32 48 -0.53 164 0 0 12 58 24 1 23 29.7 8 134 76 12 28 7 13 28 55 12 13 31 13 43 46 -0.54 165 0 0 12 10 33 1 23 30.7 9 134 77 11 40 30 12 40 49 11 26 2 12 55 33 -0.55 166 0 0 11 23 32 1 23 31.7 10 135 77 10 53 43 11 53 34 10 39 21 12 8 10 -0.56 167 0 0 10 37 22 1 23 32.9 11 135 76 10 7 46 11 7 9 9 53 31 11 21 38 -0.57 168 0 0 9 52 3 1 23 34.2 13 135 76 9 22 41 10 21 36 9 8 33 10 35 59 -0.58 169 0 0 9 7 37 1 23 35.7 14 135 76 8 38 29 9 36 56 8 24 27 9 51 12 -0.58 170 0 0 8 24 4 1 23 37.3 15 135 75 7 55 10 8 53 10 7 41 14 9 7 19 -0.58 171 0 0 7 41 26 1 23 39.0 16 136 75 7 12 44 8 10 18 6 58 55 8 24 21 -0.59 172 0 0 6 59 42 1 23 40.8 18 136 74 6 31 13 7 28 21 6 17 30 7 42 17 -0.59 173 0 0 6 18 53 1 23 42.7 19 136 74 5 50 38 6 47 19 5 37 0 7 1 9 -0.59 174 0 0 5 39 0 1 23 44.7 20 136 73 5 10 57 6 7 14 4 57 26 6 20 57 -0.60 175 0 0 5 0 3 1 23 46.9 21 136 72 4 32 12 5 28 4 4 18 47 5 41 42 -0.60 176 0 0 4 22 3 1 23 49.1 22 137 71 3 54 23 4 49 52 3 41 4 5 3 23 -0.60 177 0 0 3 44 58 1 23 51.4 23 137 70 3 17 31 4 12 35 3 4 17 4 26 1 -0.60 178 0 0 3 8 51 1 23 53.9 24 137 69 2 41 35 3 36 16 2 28 26 3 49 36 -0.60 179 0 0 2 33 40 1 23 56.4 26 137 68 2 6 35 3 0 54 1 53 31 3 14 9 -0.61 -180 0 0 1 59 26 1 23 59.0 27 137 67 1 32 32 2 26 29 1 19 33 2 39 38 -0.61 -179 0 0 1 26 9 1 24 1.7 28 138 66 0 59 25 1 53 1 0 46 32 2 6 5 -0.61 -178 0 0 0 53 48 1 24 4.5 29 138 65 0 27 15 1 20 30 0 14 26 1 33 29 -0.61 -177 0 0 0 22 24 1 24 7.3 30 138 64 - 0 3 59 0 48 56 - 0 16 43 1 1 50 -0.61 -176 0 0 - 0 8 3 1 24 10.3 31 138 63 - 0 34 17 0 18 19 - 0 46 55 0 31 8 -0.61 -175 0 0 - 0 37 33 1 24 13.3 32 139 62 - 1 3 38 - 0 11 21 - 1 16 12 0 1 24 -0.61 -174 0 0 - 1 6 8 1 24 16.4 33 139 61 - 1 32 3 - 0 40 4 - 1 44 33 - 0 27 24 -0.61 -173 0 0 - 1 33 46 1 24 19.5 34 139 60 - 1 59 33 - 1 7 52 - 2 11 58 - 0 55 16 -0.62 -172 0 0 - 2 0 28 1 24 22.7 35 140 59 - 2 26 6 - 1 34 43 - 2 38 28 - 1 22 11 -0.62 -171 0 0 - 2 26 15 1 24 26.0 36 140 58 - 2 51 45 - 2 0 37 - 3 4 3 - 1 48 10 -0.62 -170 0 0 - 2 51 6 1 24 29.3 37 140 57 - 3 16 28 - 2 25 37 - 3 28 42 - 2 13 14 -0.62 -169 0 0 - 3 15 2 1 24 32.7 38 141 56 - 3 40 16 - 2 49 40 - 3 52 27 - 2 37 21 -0.62 -168 0 0 - 3 38 3 1 24 36.2 39 141 55 - 4 3 10 - 3 12 49 - 4 15 17 - 3 0 33 -0.62 -167 0 0 - 4 0 10 1 24 39.7 40 141 54 - 4 25 9 - 3 35 3 - 4 37 13 - 3 22 50 -0.62 -166 0 0 - 4 21 22 1 24 43.2 41 142 53 - 4 46 15 - 3 56 21 - 4 58 15 - 3 44 12 -0.62 -165 0 0 - 4 41 39 1 24 46.8 42 142 52 - 5 6 26 - 4 16 46 - 5 18 23 - 4 4 40 -0.62 -164 0 0 - 5 1 3 1 24 50.4 42 143 51 - 5 25 44 - 4 36 16 - 5 37 38 - 4 24 13 -0.62 -163 0 0 - 5 19 34 1 24 54.1 43 143 50 - 5 44 8 - 4 54 52 - 5 55 59 - 4 42 53 -0.62 -162 0 0 - 5 37 11 1 24 57.9 44 144 49 - 6 1 40 - 5 12 35 - 6 13 28 - 5 0 38 -0.62 -161 0 0 - 5 53 55 1 25 1.6 45 144 48 - 6 18 18 - 5 29 25 - 6 30 4 - 5 17 31 -0.62 -160 0 0 - 6 9 46 1 25 5.4 46 145 47 - 6 34 4 - 5 45 21 - 6 45 48 - 5 33 29 -0.63 -159 0 0 - 6 24 45 1 25 9.3 47 145 46 - 6 48 58 - 6 0 25 - 7 0 40 - 5 48 35 -0.63 -158 0 0 - 6 38 51 1 25 13.2 47 146 45 - 7 3 0 - 6 14 36 - 7 14 39 - 6 2 49 -0.63 -157 0 0 - 6 52 6 1 25 17.1 48 147 43 - 7 16 11 - 6 27 54 - 7 27 48 - 6 16 10 -0.63 -156 0 0 - 7 4 28 1 25 21.0 49 147 42 - 7 28 29 - 6 40 21 - 7 40 4 - 6 28 38 -0.63 -155 0 0 - 7 15 59 1 25 25.0 49 148 41 - 7 39 57 - 6 51 56 - 7 51 30 - 6 40 15 -0.63 -154 0 0 - 7 26 39 1 25 29.0 50 149 40 - 7 50 33 - 7 2 39 - 8 2 5 - 6 51 0 -0.63 -153 0 0 - 7 36 28 1 25 33.1 51 150 39 - 8 0 18 - 7 12 31 - 8 11 48 - 7 0 53 -0.63 -152 0 0 - 7 45 25 1 25 37.1 51 150 38 - 8 9 13 - 7 21 31 - 8 20 42 - 7 9 54 -0.63 -151 0 0 - 7 53 32 1 25 41.2 52 151 37 - 8 17 17 - 7 29 40 - 8 28 44 - 7 18 5 -0.63 -150 0 0 - 8 0 48 1 25 45.3 53 152 36 - 8 24 30 - 7 36 58 - 8 35 57 - 7 25 24 -0.63 -149 0 0 - 8 7 13 1 25 49.5 53 153 35 - 8 30 54 - 7 43 26 - 8 42 19 - 7 31 53 -0.63 -148 0 0 - 8 12 48 1 25 53.6 54 154 34 - 8 36 27 - 7 49 3 - 8 47 52 - 7 37 30 -0.63 -147 0 0 - 8 17 32 1 25 57.8 54 155 33 - 8 41 10 - 7 53 49 - 8 52 34 - 7 42 17 -0.63 -146 0 0 - 8 21 27 1 26 2.0 55 156 32 - 8 45 3 - 7 57 44 - 8 56 26 - 7 46 13 -0.63 -145 0 0 - 8 24 31 1 26 6.3 55 158 31 - 8 48 6 - 8 0 49 - 8 59 29 - 7 49 19 -0.63 -144 0 0 - 8 26 45 1 26 10.5 55 159 30 - 8 50 19 - 8 3 4 - 9 1 42 - 7 51 34 -0.63 -143 0 0 - 8 28 9 1 26 14.8 56 160 29 - 8 51 43 - 8 4 28 - 9 3 5 - 7 52 58 -0.63 -142 0 0 - 8 28 43 1 26 19.1 56 161 28 - 8 52 17 - 8 5 2 - 9 3 39 - 7 53 32 -0.63 -141 0 0 - 8 28 26 1 26 23.4 57 163 27 - 8 52 0 - 8 4 46 - 9 3 23 - 7 53 16 -0.63 -140 0 0 - 8 27 20 1 26 27.7 57 164 26 - 8 50 55 - 8 3 39 - 9 2 17 - 7 52 9 -0.63 -139 0 0 - 8 25 24 1 26 32.0 57 165 25 - 8 48 59 - 8 1 42 - 9 0 22 - 7 50 12 -0.63 -138 0 0 - 8 22 37 1 26 36.4 57 167 24 - 8 46 13 - 7 58 55 - 8 57 36 - 7 47 24 -0.63 -137 0 0 - 8 19 0 1 26 40.7 57 168 23 - 8 42 37 - 7 55 16 - 8 54 1 - 7 43 45 -0.63 -136 0 0 - 8 14 33 1 26 45.1 58 169 22 - 8 38 12 - 7 50 48 - 8 49 36 - 7 39 16 -0.63 -135 0 0 - 8 9 15 1 26 49.5 58 171 21 - 8 32 56 - 7 45 28 - 8 44 21 - 7 33 55 -0.63 -134 0 0 - 8 3 7 1 26 53.9 58 172 20 - 8 26 50 - 7 39 18 - 8 38 16 - 7 27 44 -0.63 -133 0 0 - 7 56 8 1 26 58.3 58 174 19 - 8 19 53 - 7 32 17 - 8 31 21 - 7 20 42 -0.63 -132 0 0 - 7 48 19 1 27 2.7 58 175 18 - 8 12 6 - 7 24 25 - 8 23 35 - 7 12 48 -0.63 -131 0 0 - 7 39 38 1 27 7.1 58 177 17 - 8 3 28 - 7 15 41 - 8 14 58 - 7 4 3 -0.63 -130 0 0 - 7 30 6 1 27 11.5 57 178 16 - 7 54 0 - 7 6 6 - 8 5 31 - 6 54 27 -0.63 -129 0 0 - 7 19 43 1 27 15.9 57 180 15 - 7 43 40 - 6 55 40 - 7 55 13 - 6 43 59 -0.63 -128 0 0 - 7 8 28 1 27 20.3 57 181 14 - 7 32 29 - 6 44 21 - 7 44 4 - 6 32 38 -0.63 -127 0 0 - 6 56 22 1 27 24.8 57 183 13 - 7 20 26 - 6 32 11 - 7 32 3 - 6 20 26 -0.63 -126 0 0 - 6 43 23 1 27 29.2 57 184 12 - 7 7 32 - 6 19 8 - 7 19 11 - 6 7 21 -0.63 -125 0 0 - 6 29 32 1 27 33.6 56 185 11 - 6 53 45 - 6 5 12 - 7 5 26 - 5 53 23 -0.63 -124 0 0 - 6 14 48 1 27 38.1 56 187 10 - 6 39 6 - 5 50 24 - 6 50 50 - 5 38 32 -0.63 -123 0 0 - 5 59 12 1 27 42.5 56 188 9 - 6 23 35 - 5 34 42 - 6 35 21 - 5 22 48 -0.63 -122 0 0 - 5 42 43 1 27 46.9 55 189 8 - 6 7 11 - 5 18 7 - 6 19 0 - 5 6 11 -0.63 -121 0 0 - 5 25 20 1 27 51.4 55 190 7 - 5 49 54 - 5 0 39 - 6 1 45 - 4 48 39 -0.63 -120 0 0 - 5 7 3 1 27 55.8 54 192 6 - 5 31 43 - 4 42 16 - 5 43 38 - 4 30 14 -0.63 -119 0 0 - 4 47 53 1 28 0.2 54 193 5 - 5 12 39 - 4 23 0 - 5 24 36 - 4 10 54 -0.63 -118 0 0 - 4 27 48 1 28 4.6 53 194 4 - 4 52 41 - 4 2 48 - 5 4 41 - 3 50 39 -0.63 -117 0 0 - 4 6 49 1 28 9.0 52 195 3 - 4 31 49 - 3 41 42 - 4 43 52 - 3 29 30 -0.63 -116 0 0 - 3 44 55 1 28 13.3 52 196 2 - 4 10 1 - 3 19 40 - 4 22 8 - 3 7 25 -0.63 -115 0 0 - 3 22 5 1 28 17.7 51 197 1 - 3 47 19 - 2 56 44 - 3 59 30 - 2 44 24 -0.63 -114 0 0 - 2 58 20 1 28 22.0 51 198 0 - 3 23 42 - 2 32 51 - 3 35 56 - 2 20 28 -0.63 -113 0 0 - 2 33 40 1 28 26.3 50 199 -1 - 2 59 10 - 2 8 2 - 3 11 28 - 1 55 35 -0.63 -112 0 0 - 2 8 3 1 28 30.6 49 200 -2 - 2 33 41 - 1 42 17 - 2 46 3 - 1 29 46 -0.63 -111 0 0 - 1 41 30 1 28 34.9 48 201 -3 - 2 7 17 - 1 15 35 - 2 19 43 - 1 3 0 -0.63 -110 0 0 - 1 14 0 1 28 39.2 48 202 -4 - 1 39 56 - 0 47 57 - 1 52 26 - 0 35 16 -0.63 -109 0 0 - 0 45 34 1 28 43.4 47 203 -5 - 1 11 39 - 0 19 21 - 1 24 13 - 0 6 36 -0.63 -108 0 0 - 0 16 10 1 28 47.5 46 203 -6 - 0 42 25 0 10 12 - 0 55 4 0 23 2 -0.63 -107 0 0 0 14 10 1 28 51.7 45 204 -7 - 0 12 14 0 40 43 - 0 24 58 0 53 37 -0.63 -106 0 0 0 45 29 1 28 55.8 44 205 -8 0 18 54 1 12 12 0 6 6 1 25 11 -0.63 -105 0 0 1 17 44 1 28 59.9 43 205 -9 0 51 0 1 44 38 0 38 6 1 57 42 -0.63 -104 0 0 1 50 58 1 29 3.9 42 206 -10 1 24 2 2 18 2 1 11 3 2 31 12 -0.63 -103 0 0 2 25 9 1 29 7.9 41 207 -11 1 58 2 2 52 24 1 44 58 3 5 40 -0.63 -102 0 0 3 0 18 1 29 11.8 40 207 -12 2 33 0 3 27 45 2 19 51 3 41 6 -0.63 -101 0 0 3 36 24 1 29 15.6 39 208 -13 3 8 55 4 4 3 2 55 40 4 17 30 -0.63 -100 0 0 4 13 29 1 29 19.4 38 208 -14 3 45 48 4 41 19 3 32 27 4 54 52 -0.63 - 99 0 0 4 51 30 1 29 23.2 37 209 -15 4 23 37 5 19 34 4 10 11 5 33 12 -0.63 - 98 0 0 5 30 30 1 29 26.9 36 210 -16 5 2 24 5 58 45 4 48 52 6 12 30 -0.63 - 97 0 0 6 10 26 1 29 30.5 35 210 -17 5 42 8 6 38 55 5 28 30 6 52 46 -0.63 - 96 0 0 6 51 19 1 29 34.0 34 211 -18 6 22 48 7 20 1 6 9 4 7 33 58 -0.63 - 95 0 0 7 33 9 1 29 37.5 33 211 -19 7 4 24 8 2 4 6 50 34 8 16 8 -0.63 - 94 0 0 8 15 54 1 29 40.8 32 211 -20 7 46 56 8 45 3 7 32 59 8 59 14 -0.63 - 93 0 0 8 59 35 1 29 44.1 31 212 -21 8 30 24 9 28 57 8 16 20 9 43 15 -0.63 - 92 0 0 9 44 10 1 29 47.3 29 212 -22 9 14 45 10 13 47 9 0 35 10 28 11 -0.63 - 91 0 0 10 29 39 1 29 50.4 28 213 -23 10 0 0 10 59 30 9 45 43 11 14 2 -0.63 - 90 0 0 11 16 2 1 29 53.4 27 213 -23 10 46 8 11 46 7 10 31 45 12 0 46 -0.63 - 89 0 0 12 3 16 1 29 56.3 26 214 -24 11 33 8 12 33 37 11 18 38 12 48 22 -0.63 - 88 0 0 12 51 22 1 29 59.0 25 214 -25 12 20 59 13 21 57 12 6 22 13 36 50 -0.63 - 87 0 0 13 40 17 1 30 1.7 23 214 -26 13 9 40 14 11 7 12 54 55 14 26 7 -0.63 - 86 0 0 14 30 0 1 30 4.3 22 215 -27 13 59 8 15 1 6 13 44 17 15 16 14 -0.63 - 85 0 0 15 20 31 1 30 6.7 21 215 -28 14 49 24 15 51 52 14 34 25 16 7 7 -0.63 - 84 0 0 16 11 47 1 30 9.0 20 215 -29 15 40 25 16 43 23 15 25 19 16 58 46 -0.63 - 83 0 0 17 3 47 1 30 11.1 18 216 -29 16 32 10 17 35 39 16 16 57 17 51 9 -0.63 - 82 0 0 17 56 29 1 30 13.2 17 216 -30 17 24 37 18 28 36 17 9 16 18 44 14 -0.63 - 81 0 0 18 49 50 1 30 15.1 16 217 -31 18 17 43 19 22 13 18 2 16 19 37 59 -0.63 - 80 0 0 19 43 50 1 30 16.8 15 217 -32 19 11 28 20 16 28 18 55 53 20 32 21 -0.63 - 79 0 0 20 38 25 1 30 18.4 13 217 -32 20 5 47 21 11 18 19 50 6 21 27 19 -0.63 - 78 0 0 21 33 33 1 30 19.9 12 218 -33 21 0 41 22 6 41 20 44 52 22 22 50 -0.63 - 77 0 0 22 29 12 1 30 21.2 11 218 -34 21 56 5 23 2 35 21 40 9 23 18 52 -0.64 - 76 0 0 23 25 18 1 30 22.4 9 219 -34 22 51 57 23 58 57 22 35 54 24 15 21 -0.64 - 75 0 0 24 21 51 1 30 23.4 8 219 -35 23 48 14 24 55 44 23 32 5 25 12 15 -0.64 - 74 0 0 25 18 45 1 30 24.3 7 220 -35 24 44 55 25 52 53 24 28 38 26 9 32 -0.64 - 73 0 0 26 15 59 1 30 25.0 6 220 -36 25 41 54 26 50 21 25 25 31 27 7 7 -0.65 - 72 0 0 27 13 29 1 30 25.6 4 220 -36 26 39 11 27 48 5 26 22 41 28 4 58 -0.66 - 71 0 0 28 11 12 1 30 26.0 3 221 -37 27 36 40 28 46 2 27 20 5 29 3 1 -0.68 - 70 0 0 29 9 4 1 30 26.2 2 221 -37 28 34 20 29 44 8 28 17 38 30 1 13 -0.72 - 69 0 0 30 7 3 1 30 26.3 0 222 -37 29 32 7 .. .. .. 29 15 19 .. .. .. -1.14 Uncertainty in time = +/- 2 secs Prediction of 2023 Jul 15.6 Data for the target star ------------------------ * name: UCAC4 251-100153 * constellation : Scorpius * BCRS position with proper motion to date of event [h,m,s ; °,',"] RA: 16 48 17.8561 DE: -39 57 17.696 * GCRS Astrometric position with proper motion and parallax to date of event [h,m,s ; °,',"] RA: 16 48 17.8561 DE: -39 57 17.696 * position source: Gaia DR3 * standard error: RA,DE [mas]: (0.500,0.400) * V mag [mag]: 11.0 * B mag [mag]: 13.4 * Diameter [mas]: 1.00 * remarks: Data for the minor planet ------------------------- * general information: (number) name: (746) Marlu asteroid class: approx. diameter [km]: 72 approx. diameter ["]: 0.041 distance from Earth [AU]: 2.41900 asteroid position offset in RA [mas]: 0 asteroid position offset in DE [mas]: 0 * orbital information: orbit source: JPL#113 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): 0.026", 0.003", 102.996° remarks: * orbital elements for (746)Marlu : Mean anomaly = 342.5469796129 deg Arg. of pericenter = 306.9917888091 deg Long. of node = 1.9080093532 deg Inclination = 17.4750558143 deg Eccentricity = 0.2357134580 Semimajor axis = 3.1122933151 AU Perihelion dist = 2.3786838954 AU Mag: H = 9.85, G = 0.15 Epoch of elements : MJD 60573.06037829 TDT (2024 Sep 20.0604) ------ occelmnt file for Occult BEGIN ----------------------------------- JPL#1132023Apr24,2.87,2024,9,20,1.449083,-0.080754,0.528878,14.334498,2.178566,0.005329,-0.001004,0.000000,0.000000 -128.6754,-40.0008,156.62,0.96,False UCAC4 251-100153,16.80496006,-39.9549156,13.38,11.04,9.78,1.0,4,,16.83318022,-40.0007609,3.81,4.61,0,0,0 746,Marlu,14.82,73.607,2.4190,0,0,4.535,7.93,,4.6,0 0,342.3566,2024,9,19,306.9918,1.9080,17.4751,0.23571,3.11229,2.37868,9.85,5.0,0.15 1.242,0.0263,0.0032,103,0.0101,Known errors,1.06,0,-1,-1 20240920_100153,60140.57 ------ occelmnt file for Occult END ----------------------------------- ============================================ Calculator (s): Steve Preston Date of update: 2023 Jul 15, 13:45 UT Steve Preston 7640 NE 32nd St Medina, WA 98039 stevepr@acm.org