IOTA/IOTA-ES occultation update for (197) Arete / TYC 5572-00613-1 event on 2024 Jul 20, 22:02 UT Visible from Summary ------- On 2024 Jul 20 UT, the 32.596266327337 km diameter asteroid (197) Arete will occult a 9.1 mag star in the constellation Libra for observers along a path across . In the case of an occultation, the combined light of the asteroid and the star will drop by 5.20 mag to 14.32 mag (the magnitude of the asteroid) for at most 3.200 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 Jul 20, 21:52 - 2024 Jul 20, 22:12 * geocentric midpoint of event [JD]: 2460512.41839096 * magnitude of target star: 9.13 * magnitude drop [mag]: 5.20 * estimated maximum duration [s]: 3.200 * Moon: 99 % sunlit, 71° distance * Sun: 103° distance * rough path description: The occultation path -------------------- * approximate projected width [km]: 34 * 1 sigma uncertainty interval [path widths]: +/- 0.15 * 1 sigma uncertainty interval [seconds]: +/- 1.5 * 1 sigma uncertainty interval approx RA,DE ["]: (+/- 0.009, +/- 0.004) * 1 sigma uncertainty ellipse (major, minor, PA): (0.010", 0.001", 114°) * approx speed of asteroid's shadow [km/s]: 10.2254 * website for maps: http://www.asteroidoccultation.com Path Coordinates: Occultation of TYC 5572-00613-1 by 197 Arete on 2024 Jul 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 -120 0 0 52 42 29 21 52 22.4 0 111 52 52 32 46 52 52 13 52 29 55 52 55 4 .... -119 0 0 52 28 24 21 52 22.5 1 112 52 52 18 38 52 38 10 52 15 46 52 41 2 -0.05 -118 0 0 52 13 46 21 52 22.7 2 112 51 52 3 58 52 23 35 52 1 5 52 26 28 -0.13 -117 0 0 51 58 35 21 52 22.9 2 113 51 51 48 44 52 8 27 51 45 51 52 11 20 -0.16 -116 0 0 51 42 50 21 52 23.3 3 114 51 51 32 56 51 52 44 51 30 2 51 55 39 -0.18 -115 0 0 51 26 31 21 52 23.7 4 115 50 51 16 34 51 36 28 51 13 39 51 39 23 -0.19 -114 0 0 51 9 36 21 52 24.2 4 116 50 50 59 37 51 19 36 50 56 41 51 22 32 -0.20 -113 0 0 50 52 6 21 52 24.8 5 116 50 50 42 4 51 2 9 50 39 7 51 5 6 -0.20 -112 0 0 50 34 0 21 52 25.6 6 117 49 50 23 54 50 44 5 50 20 57 50 47 3 -0.20 -111 0 0 50 15 16 21 52 26.4 6 118 49 50 5 7 50 25 25 50 2 9 50 28 23 -0.21 -110 0 0 49 55 54 21 52 27.4 7 119 49 49 45 43 50 6 7 49 42 44 50 9 6 -0.21 -109 0 0 49 35 55 21 52 28.4 8 119 48 49 25 40 49 46 10 49 22 40 49 49 10 -0.21 -108 0 0 49 15 16 21 52 29.6 9 120 48 49 4 58 49 25 34 49 1 56 49 28 36 -0.21 -107 0 0 48 53 57 21 52 30.9 9 121 48 48 43 35 49 4 19 48 40 33 49 7 21 -0.22 -106 0 0 48 31 57 21 52 32.4 10 122 47 48 21 32 48 42 23 48 18 29 48 45 26 -0.22 -105 0 0 48 9 17 21 52 33.9 11 122 47 47 58 48 48 19 46 47 55 44 48 22 50 -0.22 -104 0 0 47 45 54 21 52 35.7 12 123 46 47 35 22 47 56 26 47 32 16 47 59 32 -0.22 -103 0 0 47 21 48 21 52 37.5 12 124 46 47 11 12 47 32 24 47 8 6 47 35 31 -0.22 -102 0 0 46 56 59 21 52 39.5 13 125 45 46 46 19 47 7 39 46 43 12 47 10 46 -0.22 -101 0 0 46 31 25 21 52 41.7 14 125 45 46 20 41 46 42 9 46 17 33 46 45 17 -0.22 -100 0 0 46 5 6 21 52 44.0 15 126 44 45 54 19 46 15 53 45 51 9 46 19 3 -0.22 - 99 0 0 45 38 1 21 52 46.4 16 127 44 45 27 10 45 48 52 45 23 59 45 52 3 -0.22 - 98 0 0 45 10 9 21 52 49.1 17 128 43 44 59 14 45 21 5 44 56 2 45 24 17 -0.22 - 97 0 0 44 41 30 21 52 51.9 17 128 43 44 30 31 44 52 30 44 27 18 44 55 43 -0.22 - 96 0 0 44 12 3 21 52 54.9 18 129 42 44 1 0 44 23 6 43 57 46 44 26 21 -0.22 - 95 0 0 43 41 47 21 52 58.1 19 130 41 43 30 40 43 52 54 43 27 24 43 56 10 -0.22 - 94 0 0 43 10 41 21 53 1.5 20 131 41 42 59 30 43 21 53 42 56 13 43 25 10 -0.22 - 93 0 0 42 38 45 21 53 5.1 21 131 40 42 27 30 42 50 1 42 24 12 42 53 19 -0.22 - 92 0 0 42 5 58 21 53 8.9 22 132 39 41 54 39 42 17 18 41 51 20 42 20 37 -0.22 - 91 0 0 41 32 19 21 53 12.9 23 133 39 41 20 56 41 43 44 41 17 36 41 47 4 -0.22 - 90 0 0 40 57 49 21 53 17.2 24 133 38 40 46 21 41 9 17 40 43 0 41 12 39 -0.22 - 89 0 0 40 22 26 21 53 21.7 25 134 37 40 10 54 40 33 58 40 7 31 40 37 21 -0.22 - 88 0 0 39 46 9 21 53 26.4 26 135 37 39 34 33 39 57 46 39 31 9 40 1 10 -0.22 - 87 0 0 39 8 59 21 53 31.4 27 136 36 38 57 19 39 20 40 38 53 54 39 24 6 -0.22 - 86 0 0 38 30 55 21 53 36.6 28 136 35 38 19 11 38 42 40 38 15 45 38 46 7 -0.22 - 85 0 0 37 51 57 21 53 42.1 29 137 34 37 40 9 38 3 47 37 36 41 38 7 14 -0.22 - 84 0 0 37 12 5 21 53 47.9 30 138 33 37 0 12 37 23 58 36 56 44 37 27 27 -0.22 - 83 0 0 36 31 18 21 53 53.9 31 138 33 36 19 22 36 43 15 36 15 52 36 46 46 -0.22 - 82 0 0 35 49 37 21 54 0.2 32 139 32 35 37 36 36 1 38 35 34 5 36 5 9 -0.22 - 81 0 0 35 7 1 21 54 6.8 33 140 31 34 54 56 35 19 6 34 51 24 35 22 39 -0.22 - 80 0 0 34 23 31 21 54 13.7 34 140 30 34 11 23 34 35 40 34 7 49 34 39 14 -0.23 - 79 0 0 33 39 7 21 54 20.9 35 141 29 33 26 55 33 51 20 33 23 20 33 54 54 -0.23 - 78 0 0 32 53 49 21 54 28.5 36 142 28 32 41 34 33 6 6 32 37 58 33 9 42 -0.23 - 77 0 0 32 7 39 21 54 36.3 38 143 27 31 55 20 32 19 59 31 51 43 32 23 36 -0.23 - 76 0 0 31 20 36 21 54 44.4 39 143 26 31 8 14 31 32 59 31 4 36 31 36 37 -0.23 - 75 0 0 30 32 42 21 54 52.9 40 144 25 30 20 16 30 45 9 30 16 38 30 48 48 -0.23 - 74 0 0 29 43 57 21 55 1.7 41 145 24 29 31 28 29 56 27 29 27 49 30 0 7 -0.23 - 73 0 0 28 54 24 21 55 10.8 42 146 23 28 41 52 29 6 57 28 38 12 29 10 37 -0.23 - 72 0 0 28 4 2 21 55 20.3 43 146 22 27 51 27 28 16 38 27 47 46 28 20 19 -0.23 - 71 0 0 27 12 54 21 55 30.1 45 147 21 27 0 16 27 25 32 26 56 35 27 29 15 -0.23 - 70 0 0 26 21 1 21 55 40.2 46 148 20 26 8 21 26 33 42 26 4 39 26 37 25 -0.23 - 69 0 0 25 28 25 21 55 50.6 47 149 19 25 15 43 25 41 8 25 12 0 25 44 52 -0.23 - 68 0 0 24 35 8 21 56 1.4 48 150 18 24 22 24 24 47 53 24 18 40 24 51 38 -0.23 - 67 0 0 23 41 13 21 56 12.4 50 150 16 23 28 27 23 54 0 23 24 42 23 57 45 -0.23 - 66 0 0 22 46 40 21 56 23.8 51 151 15 22 33 53 22 59 29 22 30 8 23 3 14 -0.23 - 65 0 0 21 51 34 21 56 35.6 52 152 14 21 38 45 22 4 24 21 35 0 22 8 10 -0.23 - 64 0 0 20 55 57 21 56 47.6 53 153 13 20 43 7 21 8 48 20 39 21 21 12 34 -0.23 - 63 0 0 19 59 51 21 56 59.9 55 154 12 19 47 0 20 12 43 19 43 14 20 16 29 -0.23 - 62 0 0 19 3 19 21 57 12.5 56 155 10 18 50 27 19 16 12 18 46 41 19 19 58 -0.23 - 61 0 0 18 6 24 21 57 25.4 57 156 9 17 53 32 18 19 17 17 49 46 18 23 4 -0.23 - 60 0 0 17 9 10 21 57 38.5 59 158 8 16 56 18 17 22 4 16 52 32 17 25 50 -0.23 - 59 0 0 16 11 40 21 57 51.9 60 159 7 15 58 48 16 24 33 15 55 2 16 28 20 -0.24 - 58 0 0 15 13 57 21 58 5.5 61 160 5 15 1 5 15 26 50 14 57 19 15 30 36 -0.24 - 57 0 0 14 16 4 21 58 19.4 62 162 4 14 3 13 14 28 56 13 59 28 14 32 43 -0.24 - 56 0 0 13 18 6 21 58 33.5 63 163 3 13 5 16 13 30 57 13 1 30 13 34 43 -0.24 - 55 0 0 12 20 4 21 58 47.7 65 165 1 12 7 16 12 32 54 12 3 30 12 36 40 -0.24 - 54 0 0 11 22 4 21 59 2.1 66 167 0 11 9 17 11 34 52 11 5 32 11 38 38 -0.24 - 53 0 0 10 24 8 21 59 16.7 67 169 -1 10 11 22 10 36 55 10 7 38 10 40 39 -0.24 - 52 0 0 9 26 20 21 59 31.4 68 172 -3 9 13 36 9 39 5 9 9 53 9 42 49 -0.24 - 51 0 0 8 28 43 21 59 46.3 69 174 -4 8 16 2 8 41 26 8 12 19 8 45 9 -0.24 - 50 0 0 7 31 21 22 0 1.2 70 177 -5 7 18 42 7 44 1 7 15 0 7 47 44 -0.24 - 49 0 0 6 34 17 22 0 16.2 71 180 -6 6 21 41 6 46 54 6 17 59 6 50 36 -0.24 - 48 0 0 5 37 34 22 0 31.3 72 183 -8 5 25 1 5 50 9 5 21 20 5 53 50 -0.25 - 47 0 0 4 41 16 22 0 46.4 73 187 -9 4 28 45 4 53 47 4 25 5 4 57 27 -0.25 - 46 0 0 3 45 24 22 1 1.5 74 191 -10 3 32 57 3 57 52 3 29 18 4 1 32 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12.8 73 252 -27 - 7 32 29 - 7 9 21 - 7 35 53 - 7 5 57 -0.26 - 32 0 0 - 8 6 31 22 4 26.6 72 255 -29 - 8 18 1 - 7 55 1 - 8 21 23 - 7 51 39 -0.26 - 31 0 0 - 8 51 13 22 4 40.3 71 258 -30 - 9 2 38 - 8 39 47 - 9 5 58 - 8 36 26 -0.26 - 30 0 0 - 9 34 59 22 4 53.7 70 260 -31 - 9 46 20 - 9 23 38 - 9 49 39 - 9 20 18 -0.26 - 29 0 0 -10 17 50 22 5 6.9 69 262 -32 -10 29 6 -10 6 33 -10 32 24 -10 3 15 -0.26 - 28 0 0 -10 59 44 22 5 20.0 68 264 -33 -11 10 56 -10 48 32 -11 14 13 -10 45 15 -0.26 - 27 0 0 -11 40 43 22 5 32.8 67 266 -35 -11 51 50 -11 29 35 -11 55 5 -11 26 19 -0.26 - 26 0 0 -12 20 44 22 5 45.5 66 267 -36 -12 31 47 -12 9 41 -12 35 1 -12 6 26 -0.26 - 25 0 0 -12 59 49 22 5 57.9 65 269 -37 -13 10 47 -12 48 50 -13 14 0 -12 45 37 -0.26 - 24 0 0 -13 37 57 22 6 10.1 64 270 -38 -13 48 51 -13 27 2 -13 52 3 -13 23 50 -0.26 - 23 0 0 -14 15 8 22 6 22.1 63 271 -39 -14 25 58 -14 4 18 -14 29 9 -14 1 7 -0.27 - 22 0 0 -14 51 23 22 6 33.8 62 272 -40 -15 2 9 -14 40 37 -15 5 18 -14 37 27 -0.27 - 21 0 0 -15 26 41 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2 22 8 46.7 49 276 -54 -21 29 0 -21 9 3 -21 31 56 -21 6 7 -0.27 - 8 0 0 -21 42 41 22 8 55.5 48 276 -55 -21 52 36 -21 32 45 -21 55 30 -21 29 50 -0.27 - 7 0 0 -22 5 29 22 9 4.0 47 276 -56 -22 15 22 -21 55 36 -22 18 15 -21 52 42 -0.27 - 6 0 0 -22 27 28 22 9 12.3 46 275 -57 -22 37 17 -22 17 37 -22 40 10 -22 14 44 -0.27 - 5 0 0 -22 48 37 22 9 20.4 45 275 -58 -22 58 24 -22 38 49 -23 1 16 -22 35 57 -0.27 - 4 0 0 -23 8 58 22 9 28.3 44 275 -59 -23 18 42 -22 59 13 -23 21 33 -22 56 21 -0.27 - 3 0 0 -23 28 30 22 9 36.1 43 275 -60 -23 38 12 -23 18 48 -23 41 2 -23 15 57 -0.27 - 2 0 0 -23 47 15 22 9 43.6 42 275 -61 -23 56 54 -23 37 35 -23 59 44 -23 34 45 -0.27 - 1 0 0 -24 5 12 22 9 50.9 41 275 -62 -24 14 49 -23 55 35 -24 17 38 -23 52 45 -0.27 0 0 0 -24 22 23 22 9 58.1 40 274 -63 -24 31 58 -24 12 48 -24 34 46 -24 9 59 -0.27 1 0 0 -24 38 48 22 10 5.1 39 274 -64 -24 48 20 -24 29 14 -24 51 8 -24 26 26 -0.27 2 0 0 -24 54 26 22 10 11.8 38 274 -65 -25 3 57 -24 44 55 -25 6 44 -24 42 8 -0.27 3 0 0 -25 9 20 22 10 18.4 37 273 -66 -25 18 49 -24 59 51 -25 21 35 -24 57 4 -0.27 4 0 0 -25 23 29 22 10 24.9 36 273 -66 -25 32 55 -25 14 1 -25 35 42 -25 11 15 -0.27 5 0 0 -25 36 53 22 10 31.1 35 273 -67 -25 46 18 -25 27 27 -25 49 4 -25 24 42 -0.27 6 0 0 -25 49 33 22 10 37.2 34 273 -68 -25 58 57 -25 40 9 -26 1 42 -25 37 24 -0.27 7 0 0 -26 1 30 22 10 43.1 33 272 -69 -26 10 52 -25 52 8 -26 13 36 -25 49 23 -0.27 8 0 0 -26 12 43 22 10 48.8 32 272 -70 -26 22 4 -26 3 23 -26 24 48 -26 0 38 -0.27 9 0 0 -26 23 14 22 10 54.4 32 271 -71 -26 32 33 -26 13 55 -26 35 17 -26 11 11 -0.27 10 0 0 -26 33 2 22 10 59.8 31 271 -72 -26 42 20 -26 23 44 -26 45 3 -26 21 1 -0.26 11 0 0 -26 42 8 22 11 5.0 30 271 -72 -26 51 25 -26 32 52 -26 54 8 -26 30 8 -0.26 12 0 0 -26 50 33 22 11 10.0 29 270 -73 -26 59 48 -26 41 17 -27 2 30 -26 38 34 -0.26 13 0 0 -26 58 15 22 11 15.0 28 270 -74 -27 7 29 -26 49 1 -27 10 12 -26 46 18 -0.26 14 0 0 -27 5 17 22 11 19.7 27 270 -75 -27 14 30 -26 56 3 -27 17 12 -26 53 21 -0.26 15 0 0 -27 11 37 22 11 24.3 26 269 -76 -27 20 49 -27 2 24 -27 23 31 -26 59 42 -0.26 16 0 0 -27 17 17 22 11 28.7 25 269 -76 -27 26 28 -27 8 5 -27 29 10 -27 5 23 -0.26 17 0 0 -27 22 16 22 11 33.0 24 268 -77 -27 31 27 -27 13 5 -27 34 8 -27 10 23 -0.26 18 0 0 -27 26 35 22 11 37.1 23 268 -78 -27 35 45 -27 17 24 -27 38 26 -27 14 43 -0.26 19 0 0 -27 30 13 22 11 41.0 22 267 -79 -27 39 23 -27 21 3 -27 42 4 -27 18 22 -0.26 20 0 0 -27 33 12 22 11 44.8 22 267 -79 -27 42 21 -27 24 2 -27 45 2 -27 21 21 -0.26 21 0 0 -27 35 31 22 11 48.5 21 267 -80 -27 44 40 -27 26 22 -27 47 20 -27 23 41 -0.26 22 0 0 -27 37 10 22 11 52.0 20 266 -80 -27 46 19 -27 28 1 -27 48 59 -27 25 20 -0.26 23 0 0 -27 38 10 22 11 55.3 19 266 -81 -27 47 18 -27 29 1 -27 49 59 -27 26 20 -0.26 24 0 0 -27 38 30 22 11 58.5 18 265 -82 -27 47 38 -27 29 21 -27 50 19 -27 26 40 -0.26 25 0 0 -27 38 11 22 12 1.5 17 265 -82 -27 47 19 -27 29 2 -27 50 0 -27 26 21 -0.26 26 0 0 -27 37 12 22 12 4.4 16 264 -82 -27 46 21 -27 28 4 -27 49 1 -27 25 23 -0.26 27 0 0 -27 35 35 22 12 7.2 15 264 -83 -27 44 43 -27 26 26 -27 47 24 -27 23 45 -0.26 28 0 0 -27 33 18 22 12 9.7 14 264 -83 -27 42 26 -27 24 9 -27 45 7 -27 21 28 -0.26 29 0 0 -27 30 22 22 12 12.2 14 263 -83 -27 39 31 -27 21 12 -27 42 11 -27 18 31 -0.26 30 0 0 -27 26 46 22 12 14.5 13 263 -83 -27 35 56 -27 17 36 -27 38 36 -27 14 55 -0.26 31 0 0 -27 22 32 22 12 16.6 12 262 -83 -27 31 41 -27 13 21 -27 34 22 -27 10 40 -0.26 32 0 0 -27 17 38 22 12 18.6 11 262 -82 -27 26 48 -27 8 27 -27 29 29 -27 5 45 -0.26 33 0 0 -27 12 4 22 12 20.4 10 261 -82 -27 21 16 -27 2 53 -27 23 57 -27 0 11 -0.26 34 0 0 -27 5 52 22 12 22.1 9 261 -82 -27 15 4 -26 56 40 -27 17 45 -26 53 58 -0.26 35 0 0 -26 59 0 22 12 23.6 8 260 -81 -27 8 12 -26 49 47 -27 10 54 -26 47 5 -0.26 36 0 0 -26 51 28 22 12 24.9 7 260 -80 -27 0 42 -26 42 15 -27 3 24 -26 39 32 -0.26 37 0 0 -26 43 17 22 12 26.1 6 259 -80 -26 52 32 -26 34 2 -26 55 14 -26 31 20 -0.26 38 0 0 -26 34 26 22 12 27.2 5 259 -79 -26 43 42 -26 25 10 -26 46 24 -26 22 28 -0.26 39 0 0 -26 24 55 22 12 28.1 4 259 -79 -26 34 12 -26 15 39 -26 36 55 -26 12 55 -0.26 40 0 0 -26 14 45 22 12 28.8 4 258 -78 -26 24 2 -26 5 26 -26 26 46 -26 2 43 -0.26 41 0 0 -26 3 53 22 12 29.3 3 258 -77 -26 13 12 -25 54 34 -26 15 56 -25 51 50 -0.26 42 0 0 -25 52 22 22 12 29.7 2 257 -76 -26 1 42 -25 43 1 -26 4 26 -25 40 17 -0.27 43 0 0 -25 40 10 22 12 30.0 1 257 -76 -25 49 32 -25 30 48 -25 52 16 -25 28 3 -0.30 Uncertainty in time = +/- 2 secs Prediction of 2023 Jul 15.2 Data for the target star ------------------------ * name: TYC 5572-00613-1 * constellation : Libra * BCRS position with proper motion to date of event [h,m,s ; °,',"] RA: 14 39 43.9105 DE: -12 07 14.773 * GCRS Astrometric position with proper motion and parallax to date of event [h,m,s ; °,',"] RA: 14 39 43.9090 DE: -12 07 14.766 * position source: Gaia DR3 * standard error: RA,DE [mas]: (0.200,0.200) * V mag [mag]: 9.1 * B mag [mag]: 9.6 * Diameter [mas]: 0.10 * remarks: Data for the minor planet ------------------------- * general information: (number) name: (197) Arete asteroid class: approx. diameter [km]: 33 approx. diameter ["]: 0.020 distance from Earth [AU]: 2.20240 asteroid position offset in RA [mas]: 0 asteroid position offset in DE [mas]: 0 * orbital information: orbit source: JPL#59 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): 0.010", 0.001", 114.121° remarks: * orbital elements for (197)Arete : Mean anomaly = 294.0243896554 deg Arg. of pericenter = 245.9885260936 deg Long. of node = 81.5635466039 deg Inclination = 8.7893329765 deg Eccentricity = 0.1628177338 Semimajor axis = 2.7402068150 AU Perihelion dist = 2.2940525512 AU Mag: H = 9.44, G = 0.15 Epoch of elements : MJD 60511.91839104 TDT (2024 Jul 20.9184) ------ occelmnt file for Occult BEGIN ----------------------------------- JPL#592023Apr24,3.20,2024,7,20,22.041383,0.162130,0.184158,4.409436,-3.723832,0.005050,-0.001682,0.000000,0.000000 -49.5263,-12.2268,-149.00,20.43,False TYC 5572-00613-1,14.66219738,-12.1207705,9.58,9.13,8.89,0.1,0,,14.68446229,-12.2267820,5.20,4.99,0,0,0 197,Arete,14.32,32.756,2.2024,0,0,1.202,-14.87,,1.6,0 0,293.8248,2024,7,20,245.9885,81.5635,8.7893,0.16282,2.74021,2.29405,9.44,5.0,0.15 1.147,0.0097,0.0014,114,0.0030,Known errors,0.93,0,-1,-1 20240720_0613-1,60140.21 ------ occelmnt file for Occult END ----------------------------------- ============================================ Calculator (s): Steve Preston Date of update: 2023 Jul 15, 05:04 UT Steve Preston 7640 NE 32nd St Medina, WA 98039 stevepr@acm.org