IOTA/IOTA-ES occultation update for (54598) Bienor / UCAC4 670-044659 event on 2022 Dec 26, 20:13 UT Visible from Europe Summary ------- On 2022 Dec 26 UT, the 187.5 km diameter asteroid (54598) Bienor will occult a 14.4 mag star in the constellation Auriga for observers along a path across Europe. In the case of an occultation, the combined light of the asteroid and the star will drop by 4.45 mag to 18.87 mag (the magnitude of the asteroid) for at most 8.620 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: 36 * date and approx. time of event: 2022 Dec 26, 20:08 - 2022 Dec 26, 20:18 * geocentric midpoint of event [JD]: 2459940.34263971 * magnitude of target star: 14.44 * magnitude drop [mag]: 4.45 * estimated maximum duration [s]: 8.620 * Moon: 16 % sunlit, 128° distance * Sun: 159° distance * rough path description: Europe The occultation path -------------------- * approximate projected width [km]: 195 * 1 sigma uncertainty interval [path widths]: +/- 1.85 * 1 sigma uncertainty interval [seconds]: +/- 27.4 * 1 sigma uncertainty interval approx RA,DE ["]: (+/- 0.065, +/- 0.036) * 1 sigma uncertainty ellipse (major, minor, PA): (0.065", 0.036", 98°) * approx speed of asteroid's shadow [km/s]: 21.7642 * website for maps: http://www.asteroidoccultation.com Path Coordinates: Occultation of UCAC4 670-044659 by 54598 Bienor on 2022 Dec 26 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 - 48 0 0 .. .. .... .. .. .. .. .. .. .. .. .. .. .. .. 12 20 5 .. .. .. .... - 47 0 0 .. .. .... .. .. .. .. .. .. .. .. .. .. .. .. 13 20 1 .. .. .. .... - 46 0 0 8 25 8 20 18 6.1 0 45 7 9 39 22 .. .. .. 14 20 14 .. .. .. .... - 45 0 0 9 24 11 20 18 6.0 1 46 6 10 38 42 8 10 16 15 20 41 .. .. .. -0.28 - 44 0 0 10 23 30 20 18 5.7 3 46 5 11 38 17 9 9 20 16 21 18 .. .. .. -0.27 - 43 0 0 11 23 2 20 18 5.3 4 46 3 12 38 3 10 8 37 17 22 1 5 37 44 -0.27 - 42 0 0 12 22 43 20 18 4.6 6 46 2 13 37 57 11 8 5 18 22 49 6 36 27 -0.27 - 41 0 0 13 22 30 20 18 3.8 7 46 1 14 37 57 12 7 41 19 23 36 7 35 21 -0.27 - 40 0 0 14 22 20 20 18 2.8 8 47 -1 15 37 57 13 7 20 20 24 19 8 34 24 -0.27 - 39 0 0 15 22 9 20 18 1.7 10 47 -2 16 37 56 14 7 0 21 24 56 9 33 33 -0.27 - 38 0 0 16 21 55 20 18 0.4 11 47 -3 17 37 50 15 6 38 22 25 22 10 32 44 -0.27 - 37 0 0 17 21 33 20 17 58.9 12 47 -4 18 37 35 16 6 10 23 25 34 11 31 53 -0.27 - 36 0 0 18 21 1 20 17 57.2 14 48 -6 19 37 8 17 5 33 24 25 28 12 30 59 -0.27 - 35 0 0 19 20 15 20 17 55.4 15 48 -7 20 36 26 18 4 44 25 25 2 13 29 57 -0.27 - 34 0 0 20 19 13 20 17 53.4 17 49 -8 21 35 25 19 3 39 26 24 11 14 28 45 -0.27 - 33 0 0 21 17 50 20 17 51.3 18 49 -9 22 34 4 20 2 16 27 22 54 15 27 20 -0.27 - 32 0 0 22 16 5 20 17 49.0 19 49 -11 23 32 18 21 0 31 28 21 6 16 25 37 -0.27 - 31 0 0 23 13 53 20 17 46.6 20 50 -12 24 30 4 21 58 21 29 18 45 17 23 35 -0.27 - 30 0 0 24 11 13 20 17 44.1 22 50 -13 25 27 20 22 55 44 30 15 49 18 21 11 -0.27 - 29 0 0 25 8 1 20 17 41.4 23 51 -14 26 24 3 23 52 37 31 12 13 19 18 22 -0.27 - 28 0 0 26 4 15 20 17 38.7 24 51 -15 27 20 11 24 48 57 32 7 57 20 15 4 -0.27 - 27 0 0 26 59 52 20 17 35.8 26 52 -16 28 15 41 25 44 42 33 2 57 21 11 16 -0.27 - 26 0 0 27 54 50 20 17 32.8 27 52 -17 29 10 30 26 39 49 33 57 12 22 6 55 -0.27 - 25 0 0 28 49 8 20 17 29.7 28 53 -19 30 4 37 27 34 17 34 50 39 23 1 58 -0.27 - 24 0 0 29 42 42 20 17 26.5 29 53 -20 30 58 0 28 28 2 35 43 17 23 56 24 -0.27 - 23 0 0 30 35 31 20 17 23.3 31 54 -21 31 50 37 29 21 4 36 35 3 24 50 11 -0.27 - 22 0 0 31 27 34 20 17 19.9 32 55 -22 32 42 25 30 13 20 37 25 58 25 43 16 -0.27 - 21 0 0 32 18 48 20 17 16.5 33 55 -23 33 33 24 31 4 49 38 15 58 26 35 37 -0.27 - 20 0 0 33 9 13 20 17 13.1 34 56 -24 34 23 33 31 55 30 39 5 3 27 27 14 -0.27 - 19 0 0 33 58 46 20 17 9.5 35 57 -25 35 12 49 32 45 20 39 53 12 28 18 4 -0.27 - 18 0 0 34 47 28 20 17 6.0 36 57 -26 36 1 13 33 34 19 40 40 25 29 8 6 -0.27 - 17 0 0 35 35 16 20 17 2.3 37 58 -27 36 48 42 34 22 27 41 26 40 29 57 19 -0.27 - 16 0 0 36 22 11 20 16 58.7 39 59 -28 37 35 17 35 9 41 42 11 57 30 45 43 -0.27 - 15 0 0 37 8 11 20 16 55.0 40 60 -28 38 20 57 35 56 1 42 56 16 31 33 15 -0.27 - 14 0 0 37 53 17 20 16 51.3 41 60 -29 39 5 41 36 41 28 43 39 36 32 19 55 -0.27 - 13 0 0 38 37 27 20 16 47.5 42 61 -30 39 49 29 37 25 59 44 21 57 33 5 43 -0.28 - 12 0 0 39 20 41 20 16 43.7 43 62 -31 40 32 20 38 9 36 45 3 20 33 50 38 -0.28 - 11 0 0 40 2 59 20 16 40.0 44 63 -32 41 14 16 38 52 17 45 43 44 34 34 40 -0.28 - 10 0 0 40 44 22 20 16 36.2 45 64 -33 41 55 14 39 34 2 46 23 10 35 17 47 -0.28 - 9 0 0 41 24 48 20 16 32.4 46 65 -33 42 35 17 40 14 52 47 1 38 36 0 1 -0.28 - 8 0 0 42 4 19 20 16 28.6 47 66 -34 43 14 23 40 54 47 47 39 8 36 41 21 -0.28 - 7 0 0 42 42 55 20 16 24.8 47 67 -35 43 52 34 41 33 47 48 15 42 37 21 47 -0.28 - 6 0 0 43 20 35 20 16 21.0 48 68 -36 44 29 49 42 11 51 48 51 19 38 1 18 -0.28 - 5 0 0 43 57 20 20 16 17.3 49 69 -36 45 6 9 42 49 2 49 26 0 38 39 56 -0.28 - 4 0 0 44 33 11 20 16 13.5 50 70 -37 45 41 35 43 25 17 49 59 46 39 17 41 -0.28 - 3 0 0 45 8 8 20 16 9.8 51 71 -38 46 16 6 44 0 40 50 32 37 39 54 31 -0.28 - 2 0 0 45 42 12 20 16 6.1 52 72 -38 46 49 45 44 35 9 51 4 35 40 30 29 -0.28 - 1 0 0 46 15 23 20 16 2.3 53 73 -39 47 22 30 45 8 45 51 35 41 41 5 35 -0.28 0 0 0 46 47 43 20 15 58.7 53 74 -40 47 54 24 45 41 29 52 5 54 41 39 48 -0.28 1 0 0 47 19 10 20 15 55.0 54 76 -40 48 25 26 46 13 22 52 35 16 42 13 10 -0.28 2 0 0 47 49 48 20 15 51.3 55 77 -41 48 55 38 46 44 24 53 3 49 42 45 41 -0.28 3 0 0 48 19 35 20 15 47.7 56 78 -41 49 25 0 47 14 37 53 31 32 43 17 22 -0.28 4 0 0 48 48 33 20 15 44.1 56 79 -42 49 53 33 47 44 0 53 58 26 43 48 13 -0.28 5 0 0 49 16 43 20 15 40.6 57 80 -42 50 21 18 48 12 34 54 24 34 44 18 14 -0.28 6 0 0 49 44 6 20 15 37.0 58 82 -43 50 48 16 48 40 21 54 49 55 44 47 28 -0.28 7 0 0 50 10 42 20 15 33.5 59 83 -43 51 14 27 49 7 21 55 14 31 45 15 53 -0.28 8 0 0 50 36 32 20 15 30.1 59 84 -44 51 39 53 49 33 35 55 38 22 45 43 32 -0.28 9 0 0 51 1 37 20 15 26.6 60 86 -44 52 4 34 49 59 3 56 1 30 46 10 24 -0.28 10 0 0 51 25 58 20 15 23.2 60 87 -45 52 28 31 50 23 47 56 23 55 46 36 31 -0.28 11 0 0 51 49 35 20 15 19.8 61 89 -45 52 51 46 50 47 48 56 45 39 47 1 53 -0.28 12 0 0 52 12 30 20 15 16.4 62 90 -46 53 14 18 51 11 5 57 6 42 47 26 31 -0.28 13 0 0 52 34 44 20 15 13.1 62 92 -46 53 36 8 51 33 41 57 27 5 47 50 25 -0.28 14 0 0 52 56 16 20 15 9.8 63 93 -46 53 57 19 51 55 35 57 46 49 48 13 37 -0.28 15 0 0 53 17 8 20 15 6.5 63 95 -47 54 17 49 52 16 49 58 5 55 48 36 7 -0.28 16 0 0 53 37 21 20 15 3.3 64 96 -47 54 37 41 52 37 23 58 24 24 48 57 56 -0.28 17 0 0 53 56 56 20 15 0.1 64 98 -47 54 56 54 52 57 18 58 42 16 49 19 4 -0.28 18 0 0 54 15 52 20 14 56.9 65 100 -48 55 15 30 53 16 34 58 59 32 49 39 33 -0.28 19 0 0 54 34 12 20 14 53.7 66 101 -48 55 33 30 53 35 14 59 16 14 49 59 23 -0.28 20 0 0 54 51 55 20 14 50.6 66 103 -48 55 50 53 53 53 16 59 32 22 50 18 34 -0.28 21 0 0 55 9 3 20 14 47.5 66 105 -49 56 7 42 54 10 42 59 47 56 50 37 8 -0.28 22 0 0 55 25 35 20 14 44.5 67 107 -49 56 23 56 54 27 33 60 2 58 50 55 4 -0.29 23 0 0 55 41 34 20 14 41.4 67 108 -49 56 39 36 54 43 50 60 17 28 51 12 25 -0.29 24 0 0 55 56 59 20 14 38.4 68 110 -50 56 54 44 54 59 32 60 31 27 51 29 9 -0.29 25 0 0 56 11 51 20 14 35.4 68 112 -50 57 9 18 55 14 41 60 44 55 51 45 19 -0.29 26 0 0 56 26 10 20 14 32.4 69 114 -50 57 23 21 55 29 17 60 57 53 52 0 54 -0.29 27 0 0 56 39 58 20 14 29.5 69 116 -50 57 36 53 55 43 21 61 10 22 52 15 55 -0.29 28 0 0 56 53 15 20 14 26.6 69 118 -51 57 49 54 55 56 53 61 22 23 52 30 23 -0.29 29 0 0 57 6 1 20 14 23.7 70 120 -51 58 2 25 56 9 55 61 33 55 52 44 18 -0.29 30 0 0 57 18 18 20 14 20.8 70 122 -51 58 14 26 56 22 25 61 44 59 52 57 41 -0.29 31 0 0 57 30 4 20 14 17.9 70 124 -51 58 25 59 56 34 26 61 55 37 53 10 32 -0.29 32 0 0 57 41 22 20 14 15.1 71 127 -51 58 37 3 56 45 57 62 5 48 53 22 52 -0.29 33 0 0 57 52 11 20 14 12.3 71 129 -51 58 47 39 56 57 0 62 15 33 53 34 41 -0.29 34 0 0 58 2 33 20 14 9.5 71 131 -52 58 57 47 57 7 33 62 24 52 53 46 0 -0.29 35 0 0 58 12 26 20 14 6.7 72 133 -52 59 7 29 57 17 39 62 33 46 53 56 48 -0.29 36 0 0 58 21 53 20 14 4.0 72 136 -52 59 16 43 57 27 17 62 42 16 54 7 8 -0.29 37 0 0 58 30 52 20 14 1.3 72 138 -52 59 25 32 57 36 28 62 50 21 54 16 58 -0.29 38 0 0 58 39 25 20 13 58.5 72 140 -52 59 33 54 57 45 12 62 58 2 54 26 20 -0.29 39 0 0 58 47 33 20 13 55.8 73 143 -52 59 41 51 57 53 29 63 5 20 54 35 14 -0.29 40 0 0 58 55 14 20 13 53.1 73 145 -52 59 49 23 58 1 20 63 12 14 54 43 40 -0.29 41 0 0 59 2 31 20 13 50.5 73 148 -53 59 56 30 58 8 46 63 18 46 54 51 38 -0.29 42 0 0 59 9 22 20 13 47.8 73 150 -53 60 3 13 58 15 46 63 24 54 54 59 9 -0.29 43 0 0 59 15 49 20 13 45.2 73 153 -53 60 9 31 58 22 20 63 30 41 55 6 13 -0.29 44 0 0 59 21 51 20 13 42.5 73 155 -53 60 15 26 58 28 30 63 36 6 55 12 50 -0.29 45 0 0 59 27 29 20 13 39.9 73 158 -53 60 20 56 58 34 15 63 41 9 55 19 1 -0.29 46 0 0 59 32 43 20 13 37.3 73 161 -53 60 26 4 58 39 36 63 45 50 55 24 46 -0.29 47 0 0 59 37 33 20 13 34.7 74 163 -53 60 30 48 58 44 33 63 50 10 55 30 4 -0.29 48 0 0 59 42 0 20 13 32.1 74 166 -53 60 35 9 58 49 5 63 54 9 55 34 58 -0.29 49 0 0 59 46 4 20 13 29.5 74 169 -53 60 39 8 58 53 14 63 57 47 55 39 25 -0.29 50 0 0 59 49 45 20 13 27.0 74 171 -53 60 42 43 58 57 0 64 1 5 55 43 27 -0.29 51 0 0 59 53 2 20 13 24.4 74 174 -53 60 45 57 59 0 22 64 4 1 55 47 5 -0.29 52 0 0 59 55 57 20 13 21.9 74 176 -53 60 48 48 59 3 20 64 6 38 55 50 17 -0.29 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20 11 2.9 56 275 -44 54 9 21 52 8 3 57 58 1 48 26 49 -0.28 105 0 0 52 47 21 20 10 59.9 56 276 -44 53 48 33 51 46 31 57 38 39 48 4 0 -0.28 106 0 0 52 25 31 20 10 56.8 55 278 -43 53 27 5 51 24 18 57 18 37 47 40 28 -0.28 107 0 0 52 2 58 20 10 53.7 54 279 -43 53 4 55 51 1 24 56 57 57 47 16 14 -0.28 108 0 0 51 39 44 20 10 50.6 54 280 -42 52 42 4 50 37 47 56 36 36 46 51 16 -0.28 109 0 0 51 15 47 20 10 47.5 53 281 -42 52 18 31 50 13 26 56 14 34 46 25 33 -0.28 110 0 0 50 51 6 20 10 44.3 52 282 -41 51 54 13 49 48 21 55 51 49 45 59 5 -0.28 111 0 0 50 25 40 20 10 41.1 52 283 -41 51 29 11 49 22 32 55 28 22 45 31 50 -0.28 112 0 0 49 59 28 20 10 37.9 51 284 -40 51 3 24 48 55 56 55 4 10 45 3 49 -0.28 113 0 0 49 32 30 20 10 34.7 50 285 -40 50 36 51 48 28 34 54 39 13 44 35 0 -0.28 114 0 0 49 4 45 20 10 31.5 49 287 -39 50 9 31 48 0 25 54 13 31 44 5 23 -0.28 115 0 0 48 36 12 20 10 28.3 49 288 -39 49 41 23 47 31 27 53 47 1 43 34 58 -0.28 116 0 0 48 6 50 20 10 25.0 48 289 -38 49 12 27 47 1 40 53 19 44 43 3 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39 15 2 46 5 31 34 57 56 -0.28 130 0 0 39 43 42 20 9 39.1 35 301 -28 40 55 12 38 32 45 45 25 34 34 14 16 -0.28 131 0 0 39 0 51 20 9 35.9 34 302 -27 40 12 45 37 49 31 44 44 38 33 29 42 -0.28 132 0 0 38 17 4 20 9 32.8 33 303 -26 39 29 21 37 5 22 44 2 43 32 44 14 -0.28 133 0 0 37 32 21 20 9 29.7 32 303 -25 38 45 0 36 20 18 43 19 48 31 57 53 -0.28 134 0 0 36 46 43 20 9 26.6 31 304 -24 37 59 43 35 34 19 42 35 55 31 10 40 -0.28 135 0 0 36 0 9 20 9 23.6 30 305 -23 37 13 29 34 47 24 41 51 2 30 22 34 -0.28 136 0 0 35 12 40 20 9 20.6 29 306 -22 36 26 20 33 59 36 41 5 11 29 33 37 -0.28 137 0 0 34 24 18 20 9 17.7 28 306 -21 35 38 17 33 10 55 40 18 22 28 43 50 -0.28 138 0 0 33 35 2 20 9 14.9 27 307 -20 34 49 19 32 21 22 39 30 34 27 53 14 -0.28 139 0 0 32 44 54 20 9 12.1 25 307 -19 33 59 28 31 30 57 38 41 50 27 1 51 -0.28 140 0 0 31 53 55 20 9 9.5 24 308 -18 33 8 45 30 39 43 37 52 10 26 9 41 -0.28 141 0 0 31 2 7 20 9 6.9 23 309 -17 32 17 12 29 47 40 37 1 34 25 16 46 -0.29 142 0 0 30 9 31 20 9 4.4 22 309 -16 31 24 49 28 54 50 36 10 5 24 23 8 -0.29 143 0 0 29 16 8 20 9 2.0 21 310 -15 30 31 39 28 1 15 35 17 44 23 28 50 -0.29 144 0 0 28 22 0 20 8 59.7 19 310 -14 29 37 43 27 6 57 34 24 31 22 33 52 -0.29 145 0 0 27 27 10 20 8 57.5 18 311 -13 28 43 2 26 11 57 33 30 29 21 38 17 -0.29 146 0 0 26 31 39 20 8 55.4 17 311 -12 27 47 40 25 16 18 32 35 41 20 42 7 -0.29 147 0 0 25 35 30 20 8 53.5 16 312 -11 26 51 38 24 20 1 31 40 7 19 45 26 -0.29 148 0 0 24 38 45 20 8 51.7 14 312 -9 25 54 59 23 23 11 30 43 50 18 48 15 -0.29 149 0 0 23 41 27 20 8 50.0 13 313 -8 24 57 45 22 25 48 29 46 53 17 50 36 -0.30 150 0 0 22 43 38 20 8 48.5 12 313 -7 23 59 59 21 27 57 28 49 18 16 52 34 -0.30 151 0 0 21 45 22 20 8 47.1 10 313 -6 23 1 44 20 29 39 27 51 8 15 54 10 -0.30 152 0 0 20 46 41 20 8 45.9 9 314 -5 22 3 3 19 30 57 26 52 26 14 55 28 -0.31 153 0 0 19 47 37 20 8 44.9 8 314 -3 21 3 58 18 31 55 25 53 15 13 56 31 -0.32 154 0 0 18 48 16 20 8 44.0 6 314 -2 20 4 34 17 32 37 24 53 37 12 57 22 -0.33 155 0 0 17 48 38 20 8 43.3 5 315 -1 19 4 52 16 33 4 23 53 38 11 58 3 -0.35 156 0 0 16 48 49 20 8 42.7 4 315 0 18 4 57 15 33 20 22 53 19 .. .. .. -0.38 157 0 0 15 48 51 20 8 42.3 2 315 2 17 4 51 14 33 29 21 52 43 .. .. .. -0.44 158 0 0 14 48 47 20 8 42.1 1 316 3 16 4 39 .. .. .. 20 51 56 .. .. .. -0.75 159 0 0 .. .. .... .. .. .. .. .. .. 15 4 23 .. .. .. 19 51 0 .. .. .. .... 160 0 0 .. .. .... .. .. .. .. .. .. .. .. .. .. .. .. 18 49 58 .. .. .. .... 161 0 0 .. .. .... .. .. .. .. .. .. .. .. .. .. .. .. 17 48 54 .. .. .. .... Uncertainty in time = +/- 28 secs Prediction of 2022 Dec 1.1 Data for the target star ------------------------ * name: UCAC4 670-044659 * constellation : Auriga * BCRS position with proper motion to date of event [h,m,s ; °,',"] RA: 06 06 16.6854 DE: +43 59 24.028 * GCRS Astrometric position with proper motion and parallax to date of event [h,m,s ; °,',"] RA: 06 06 16.6854 DE: +43 59 24.029 * position source: Gaia EDR3 * standard error: RA,DE [mas]: (0.200,0.100) * V mag [mag]: 14.4 * Diameter [mas]: 0.00 * remarks: Data for the minor planet ------------------------- * general information: (number) name: (54598) Bienor asteroid class: Centaur approx. diameter [km]: 188 approx. diameter ["]: 0.020 distance from Earth [AU]: 12.81130 asteroid position offset in RA [mas]: 0 asteroid position offset in DE [mas]: 0 * orbital information: orbit source: JPL#65 date of fit: 2022 Nov 23 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): 0.065", 0.036", 97.754° remarks: * orbital elements for (54598)Bienor : Mean anomaly = 333.2488485546 deg Arg. of pericenter = 152.3706612945 deg Long. of node = 337.7129075992 deg Inclination = 20.7440938386 deg Eccentricity = 0.2015151334 Semimajor axis = 16.5263753265 AU Perihelion dist = 13.1960605973 AU Mag: H = 7.45, G = 0.15 Epoch of elements : MJD 59939.84291667 TDT (2022 Dec 26.8429) ------ occelmnt file for Occult BEGIN ----------------------------------- JPL#652022Nov23,8.62,2022,12,26,20.223353,-0.019347,0.270777,-12.253029,-0.876006,0.000378,-0.002193,0.000002,0.000000 53.3362,43.9879,-123.17,-23.34,False UCAC4 670-044659,6.10463484,43.9900079,0.00,14.44,0.00,0.0,0,,6.13278669,43.9879087,4.45,0.00,0,0,0 54598,Bienor,18.87,187.5,12.8113,0,0,-0.779,-0.59,,24.2,0 0,333.2365,2022,12,26,152.3707,337.7129,20.7441,0.20152,16.52638,13.19606,7.45,5.0,0.15 2.851,0.0650,0.0357,98,0.0373,Known errors,-1.00,-1,-1,-1 20221226_044659,59914.09 ------ occelmnt file for Occult END ----------------------------------- ============================================ Calculator (s): Steve Preston Date of update: 2022 Dec 01, 02:05 UT Steve Preston 7640 NE 32nd St Medina, WA 98039 stevepr@acm.org