IOTA/IOTA-ES occultation update for (617) Patroclus / UCAC4 241-161582 event on 2022 Oct 19, 23:25 UT Visible from South America Summary ------- On 2022 Oct 19 UT, the 131 km diameter asteroid (617) Patroclus will occult a 12.2 mag star in the constellation Corona Australis for observers along a path across South America. In the case of an occultation, the combined light of the asteroid and the star will drop by 3.70 mag to 15.88 mag (the magnitude of the asteroid) for at most 5.200 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: 97 * date and approx. time of event: 2022 Oct 19, 23:21 - 2022 Oct 19, 23:29 * geocentric midpoint of event [JD]: 2459872.47609167 * magnitude of target star: 12.22 * magnitude drop [mag]: 3.70 * estimated maximum duration [s]: 5.200 * Moon: 29 % sunlit, 132° distance * Sun: 69° distance * rough path description: South America The occultation path -------------------- * approximate projected width [km]: 152 * 1 sigma uncertainty interval [path widths]: +/- 0.40 * 1 sigma uncertainty interval [seconds]: +/- 4.2 * 1 sigma uncertainty interval approx RA,DE ["]: (+/- 0.031, +/- 0.007) * 1 sigma uncertainty ellipse (major, minor, PA): (0.032", 0.003", 101°) * approx speed of asteroid's shadow [km/s]: 25.2237 * website for maps: http://www.asteroidoccultation.com Path Coordinates: Occultation of UCAC4 241-161582 by 617 Patroclus #1 on 2022 Oct 19 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 178 0 0 11 2 29 23 21 56.2 1 133 67 10 7 8 11 58 32 9 17 56 .. .. .. .... 179 0 0 10 8 21 23 21 56.4 2 133 69 9 13 30 11 3 53 8 24 44 11 54 26 -0.30 -180 0 0 9 15 10 23 21 56.7 3 133 70 8 20 49 10 10 11 7 32 29 11 0 16 -0.40 -179 0 0 8 22 58 23 21 57.2 5 134 71 7 29 6 9 17 29 6 41 12 10 7 5 -0.45 -178 0 0 7 31 46 23 21 57.9 6 134 72 6 38 23 8 25 46 5 50 53 9 14 55 -0.48 -177 0 0 6 41 34 23 21 58.6 7 134 73 5 48 39 7 35 5 5 1 34 8 23 46 -0.50 -176 0 0 5 52 23 23 21 59.6 9 134 74 4 59 57 6 45 25 4 13 16 7 33 39 -0.51 -175 0 0 5 4 14 23 22 0.6 10 134 75 4 12 16 5 56 48 3 25 59 6 44 36 -0.52 -174 0 0 4 17 9 23 22 1.8 11 134 75 3 25 37 5 9 14 2 39 44 5 56 36 -0.52 -173 0 0 3 31 6 23 22 3.1 12 134 76 2 40 1 4 22 44 1 54 31 5 9 40 -0.53 -172 0 0 2 46 7 23 22 4.6 14 134 77 1 55 27 3 37 18 1 10 21 4 23 50 -0.54 -171 0 0 2 2 11 23 22 6.1 15 135 77 1 11 58 2 52 57 0 27 13 3 39 4 -0.54 -170 0 0 1 19 20 23 22 7.8 16 135 78 0 29 31 2 9 40 - 0 14 52 2 55 23 -0.54 -169 0 0 0 37 33 23 22 9.6 17 135 78 - 0 11 52 1 27 27 - 0 55 54 2 12 47 -0.55 -168 0 0 - 0 3 11 23 22 11.5 19 135 78 - 0 52 12 0 46 20 - 1 35 52 1 31 17 -0.55 -167 0 0 - 0 42 50 23 22 13.6 20 135 78 - 1 31 28 0 6 16 - 2 14 48 0 50 52 -0.55 -166 0 0 - 1 21 25 23 22 15.7 21 135 78 - 2 9 40 - 0 32 42 - 2 52 41 0 11 32 -0.55 -165 0 0 - 1 58 57 23 22 17.9 22 135 78 - 2 46 50 - 1 10 36 - 3 29 31 - 0 26 43 -0.55 -164 0 0 - 2 35 25 23 22 20.2 23 135 77 - 3 22 56 - 1 47 26 - 4 5 19 - 1 3 54 -0.56 -163 0 0 - 3 10 49 23 22 22.6 24 135 77 - 3 58 0 - 2 23 12 - 4 40 5 - 1 39 59 -0.56 -162 0 0 - 3 45 11 23 22 25.1 25 135 76 - 4 32 2 - 2 57 54 - 5 13 48 - 2 15 1 -0.56 -161 0 0 - 4 18 30 23 22 27.7 27 135 75 - 5 5 1 - 3 31 34 - 5 46 31 - 2 48 59 -0.56 -160 0 0 - 4 50 47 23 22 30.3 28 135 75 - 5 36 59 - 4 4 10 - 6 18 12 - 3 21 53 -0.56 -159 0 0 - 5 22 1 23 22 33.1 29 136 74 - 6 7 55 - 4 35 43 - 6 48 52 - 3 53 44 -0.56 -158 0 0 - 5 52 15 23 22 35.9 30 136 73 - 6 37 51 - 5 6 15 - 7 18 32 - 4 24 32 -0.57 -157 0 0 - 6 21 27 23 22 38.8 31 136 72 - 7 6 46 - 5 35 45 - 7 47 11 - 4 54 18 -0.57 -156 0 0 - 6 49 38 23 22 41.7 32 136 71 - 7 34 41 - 6 4 14 - 8 14 52 - 5 23 3 -0.57 -155 0 0 - 7 16 50 23 22 44.7 33 136 71 - 8 1 36 - 6 31 41 - 8 41 33 - 5 50 46 -0.57 -154 0 0 - 7 43 2 23 22 47.8 34 136 70 - 8 27 32 - 6 58 9 - 9 7 16 - 6 17 28 -0.57 -153 0 0 - 8 8 14 23 22 50.9 35 136 69 - 8 52 30 - 7 23 37 - 9 32 0 - 6 43 10 -0.57 -152 0 0 - 8 32 28 23 22 54.1 36 136 68 - 9 16 29 - 7 48 5 - 9 55 47 - 7 7 51 -0.57 -151 0 0 - 8 55 43 23 22 57.4 37 137 67 - 9 39 31 - 8 11 34 -10 18 36 - 7 31 34 -0.57 -150 0 0 - 9 18 1 23 23 0.7 38 137 66 -10 1 35 - 8 34 5 -10 40 29 - 7 54 17 -0.57 -149 0 0 - 9 39 21 23 23 4.1 39 137 65 -10 22 43 - 8 55 38 -11 1 26 - 8 16 2 -0.57 -148 0 0 - 9 59 44 23 23 7.5 40 137 64 -10 42 54 - 9 16 14 -11 21 26 - 8 36 49 -0.57 -147 0 0 -10 19 11 23 23 10.9 41 138 63 -11 2 9 - 9 35 52 -11 40 31 - 8 56 38 -0.58 -146 0 0 -10 37 41 23 23 14.4 41 138 62 -11 20 29 - 9 54 34 -11 58 41 - 9 15 30 -0.58 -145 0 0 -10 55 16 23 23 18.0 42 138 61 -11 37 53 -10 12 20 -12 15 57 - 9 33 26 -0.58 -144 0 0 -11 11 56 23 23 21.6 43 139 60 -11 54 23 -10 29 10 -12 32 18 - 9 50 25 -0.58 -143 0 0 -11 27 41 23 23 25.2 44 139 59 -12 9 59 -10 45 4 -12 47 45 -10 6 28 -0.58 -142 0 0 -11 42 31 23 23 28.9 45 139 58 -12 24 41 -11 0 3 -13 2 19 -10 21 35 -0.58 -141 0 0 -11 56 28 23 23 32.6 46 140 57 -12 38 29 -11 14 8 -13 16 0 -10 35 48 -0.58 -140 0 0 -12 9 30 23 23 36.3 46 140 56 -12 51 24 -11 27 19 -13 28 48 -10 49 5 -0.58 -139 0 0 -12 21 39 23 23 40.1 47 141 55 -13 3 26 -11 39 35 -13 40 44 -11 1 29 -0.58 -138 0 0 -12 32 55 23 23 44.0 48 141 54 -13 14 35 -11 50 58 -13 51 48 -11 12 58 -0.58 -137 0 0 -12 43 19 23 23 47.8 49 142 53 -13 24 52 -12 1 27 -14 1 59 -11 23 33 -0.58 -136 0 0 -12 52 49 23 23 51.7 50 142 52 -13 34 17 -12 11 3 -14 11 19 -11 33 14 -0.58 -135 0 0 -13 1 27 23 23 55.6 50 143 51 -13 42 50 -12 19 47 -14 19 48 -11 42 2 -0.58 -134 0 0 -13 9 14 23 23 59.6 51 143 50 -13 50 32 -12 27 38 -14 27 26 -11 49 57 -0.58 -133 0 0 -13 16 8 23 24 3.5 52 144 49 -13 57 22 -12 34 36 -14 34 12 -11 56 59 -0.58 -132 0 0 -13 22 10 23 24 7.6 52 145 48 -14 3 21 -12 40 42 -14 40 8 -12 3 9 -0.58 -131 0 0 -13 27 21 23 24 11.6 53 146 47 -14 8 29 -12 45 56 -14 45 13 -12 8 25 -0.58 -130 0 0 -13 31 40 23 24 15.7 54 146 46 -14 12 46 -12 50 18 -14 49 28 -12 12 50 -0.58 -129 0 0 -13 35 9 23 24 19.8 54 147 45 -14 16 12 -12 53 48 -14 52 52 -12 16 22 -0.58 -128 0 0 -13 37 45 23 24 23.9 55 148 44 -14 18 47 -12 56 26 -14 55 26 -12 19 1 -0.58 -127 0 0 -13 39 31 23 24 28.0 55 149 43 -14 20 32 -12 58 13 -14 57 10 -12 20 49 -0.58 -126 0 0 -13 40 25 23 24 32.2 56 150 42 -14 21 25 -12 59 7 -14 58 4 -12 21 44 -0.59 -125 0 0 -13 40 28 23 24 36.4 56 151 41 -14 21 29 -12 59 11 -14 58 7 -12 21 47 -0.59 -124 0 0 -13 39 40 23 24 40.6 57 152 40 -14 20 41 -12 58 22 -14 57 20 -12 20 58 -0.59 -123 0 0 -13 38 1 23 24 44.8 57 153 39 -14 19 3 -12 56 42 -14 55 43 -12 19 16 -0.59 -122 0 0 -13 35 31 23 24 49.1 58 154 38 -14 16 34 -12 54 9 -14 53 15 -12 16 43 -0.59 -121 0 0 -13 32 9 23 24 53.4 58 156 37 -14 13 14 -12 50 45 -14 49 57 -12 13 17 -0.59 -120 0 0 -13 27 55 23 24 57.7 58 157 36 -14 9 4 -12 46 29 -14 45 49 -12 8 58 -0.59 -119 0 0 -13 22 50 23 25 2.0 59 158 35 -14 4 2 -12 41 21 -14 40 50 -12 3 47 -0.59 -118 0 0 -13 16 53 23 25 6.4 59 160 34 -13 58 8 -12 35 21 -14 35 0 -11 57 43 -0.59 -117 0 0 -13 10 5 23 25 10.8 59 161 33 -13 51 24 -12 28 28 -14 28 19 -11 50 46 -0.59 -116 0 0 -13 2 24 23 25 15.2 59 162 32 -13 43 48 -12 20 42 -14 20 47 -11 42 56 -0.59 -115 0 0 -12 53 50 23 25 19.6 59 164 31 -13 35 20 -12 12 3 -14 12 23 -11 34 13 -0.59 -114 0 0 -12 44 24 23 25 24.0 59 165 30 -13 25 59 -12 2 31 -14 3 8 -11 24 35 -0.59 -113 0 0 -12 34 6 23 25 28.5 60 167 29 -13 15 47 -11 52 6 -13 53 1 -11 14 4 -0.59 -112 0 0 -12 22 53 23 25 32.9 60 168 28 -13 4 41 -11 40 47 -13 42 1 -11 2 39 -0.59 -111 0 0 -12 10 48 23 25 37.4 60 170 27 -12 52 43 -11 28 34 -13 30 10 -10 50 19 -0.59 -110 0 0 -11 57 48 23 25 41.9 60 171 26 -12 39 51 -11 15 26 -13 17 25 -10 37 4 -0.59 -109 0 0 -11 43 54 23 25 46.4 59 173 25 -12 26 6 -11 1 24 -13 3 47 -10 22 54 -0.59 -108 0 0 -11 29 6 23 25 50.9 59 174 24 -12 11 27 -10 46 26 -12 49 15 -10 7 48 -0.59 -107 0 0 -11 13 23 23 25 55.5 59 176 23 -11 55 53 -10 30 33 -12 33 50 - 9 51 45 -0.59 -106 0 0 -10 56 44 23 26 0.0 59 177 22 -11 39 24 -10 13 44 -12 17 30 - 9 34 47 -0.59 -105 0 0 -10 39 9 23 26 4.6 59 179 21 -11 22 0 - 9 55 58 -12 0 15 - 9 16 51 -0.59 -104 0 0 -10 20 38 23 26 9.2 58 180 20 -11 3 40 - 9 37 16 -11 42 5 - 8 57 58 -0.59 -103 0 0 -10 1 10 23 26 13.7 58 182 19 -10 44 24 - 9 17 36 -11 23 0 - 8 38 7 -0.59 -102 0 0 - 9 40 45 23 26 18.3 58 183 18 -10 24 11 - 8 56 58 -11 2 58 - 8 17 18 -0.59 -101 0 0 - 9 19 22 23 26 22.9 57 185 17 -10 3 1 - 8 35 22 -10 41 59 - 7 55 29 -0.59 -100 0 0 - 8 57 1 23 26 27.5 57 186 16 - 9 40 54 - 8 12 47 -10 20 4 - 7 32 42 -0.59 - 99 0 0 - 8 33 41 23 26 32.1 56 187 15 - 9 17 48 - 7 49 13 - 9 57 10 - 7 8 54 -0.59 - 98 0 0 - 8 9 22 23 26 36.7 56 188 14 - 8 53 43 - 7 24 38 - 9 33 19 - 6 44 6 -0.59 - 97 0 0 - 7 44 3 23 26 41.4 55 190 13 - 8 28 40 - 6 59 4 - 9 8 28 - 6 18 16 -0.59 - 96 0 0 - 7 17 43 23 26 46.0 55 191 12 - 8 2 36 - 6 32 28 - 8 42 39 - 5 51 26 -0.59 - 95 0 0 - 6 50 23 23 26 50.6 54 192 11 - 7 35 32 - 6 4 51 - 8 15 50 - 5 23 33 -0.59 - 94 0 0 - 6 22 2 23 26 55.2 53 193 9 - 7 7 28 - 5 36 12 - 7 48 0 - 4 54 38 -0.58 - 93 0 0 - 5 52 38 23 26 59.7 53 194 8 - 6 38 22 - 5 6 30 - 7 19 10 - 4 24 39 -0.58 - 92 0 0 - 5 22 12 23 27 4.3 52 195 7 - 6 8 15 - 4 35 45 - 6 49 19 - 3 53 37 -0.58 - 91 0 0 - 4 50 43 23 27 8.9 51 196 6 - 5 37 5 - 4 3 57 - 6 18 26 - 3 21 31 -0.58 - 90 0 0 - 4 18 11 23 27 13.4 50 197 5 - 5 4 52 - 3 31 4 - 5 46 30 - 2 48 20 -0.58 - 89 0 0 - 3 44 35 23 27 18.0 49 198 4 - 4 31 37 - 2 57 8 - 5 13 33 - 2 14 4 -0.58 - 88 0 0 - 3 9 55 23 27 22.5 49 199 3 - 3 57 17 - 2 22 6 - 4 39 32 - 1 38 42 -0.58 - 87 0 0 - 2 34 10 23 27 26.9 48 199 2 - 3 21 54 - 1 45 59 - 4 4 27 - 1 2 15 -0.58 - 86 0 0 - 1 57 20 23 27 31.4 47 200 1 - 2 45 26 - 1 8 46 - 3 28 19 - 0 24 41 -0.58 - 85 0 0 - 1 19 25 23 27 35.8 46 201 0 - 2 7 54 - 0 30 28 - 2 51 7 0 13 59 -0.58 - 84 0 0 - 0 40 25 23 27 40.2 45 202 -2 - 1 29 17 0 8 57 - 2 12 50 0 53 46 -0.58 - 83 0 0 - 0 0 18 23 27 44.5 44 202 -3 - 0 49 34 0 49 28 - 1 33 28 1 34 40 -0.58 - 82 0 0 0 40 54 23 27 48.8 43 203 -4 - 0 8 47 1 31 6 - 0 53 2 2 16 41 -0.58 - 81 0 0 1 23 13 23 27 53.1 42 204 -5 0 33 7 2 13 50 - 0 11 31 2 59 50 -0.58 - 80 0 0 2 6 37 23 27 57.3 41 204 -6 1 16 5 2 57 41 0 31 5 3 44 6 -0.58 - 79 0 0 2 51 8 23 28 1.4 40 205 -7 2 0 9 3 42 39 1 14 46 4 29 29 -0.58 - 78 0 0 3 36 44 23 28 5.5 38 205 -8 2 45 19 4 28 43 1 59 32 5 15 59 -0.58 - 77 0 0 4 23 26 23 28 9.5 37 206 -9 3 31 33 5 15 54 2 45 22 6 3 36 -0.58 - 76 0 0 5 11 13 23 28 13.4 36 206 -11 4 18 52 6 4 10 3 32 17 6 52 19 -0.58 - 75 0 0 6 0 5 23 28 17.3 35 207 -12 5 7 15 6 53 31 4 20 15 7 42 8 -0.58 - 74 0 0 6 50 1 23 28 21.0 34 207 -13 5 56 42 7 43 58 5 9 16 8 33 2 -0.58 - 73 0 0 7 41 1 23 28 24.7 33 208 -14 6 47 12 8 35 28 5 59 21 9 25 1 -0.58 - 72 0 0 8 33 3 23 28 28.3 31 208 -15 7 38 44 9 28 1 6 50 26 10 18 3 -0.58 - 71 0 0 9 26 6 23 28 31.8 30 209 -16 8 31 18 10 21 36 7 42 33 11 12 8 -0.58 - 70 0 0 10 20 10 23 28 35.1 29 209 -17 9 24 51 11 16 12 8 35 40 12 7 13 -0.58 - 69 0 0 11 15 14 23 28 38.4 28 209 -18 10 19 23 12 11 48 9 29 44 13 3 19 -0.58 - 68 0 0 12 11 14 23 28 41.5 26 210 -19 11 14 52 13 8 21 10 24 46 14 0 23 -0.58 - 67 0 0 13 8 11 23 28 44.5 25 210 -21 12 11 17 14 5 51 11 20 44 14 58 23 -0.58 - 66 0 0 14 6 2 23 28 47.4 24 211 -22 13 8 36 15 4 15 12 17 35 15 57 18 -0.58 - 65 0 0 15 4 44 23 28 50.2 22 211 -23 14 6 46 16 3 31 13 15 18 16 57 6 -0.58 - 64 0 0 16 4 17 23 28 52.8 21 211 -24 15 5 47 17 3 36 14 13 50 17 57 43 -0.58 - 63 0 0 17 4 36 23 28 55.2 20 212 -25 16 5 34 18 4 30 15 13 10 18 59 8 -0.58 - 62 0 0 18 5 41 23 28 57.5 18 212 -26 17 6 7 19 6 8 16 13 15 20 1 17 -0.58 - 61 0 0 19 7 27 23 28 59.7 17 213 -27 18 7 21 20 8 27 17 14 2 21 4 8 -0.58 - 60 0 0 20 9 52 23 29 1.7 15 213 -28 19 9 14 21 11 26 18 15 28 22 7 37 -0.58 - 59 0 0 21 12 53 23 29 3.5 14 213 -29 20 11 44 22 14 59 19 17 30 23 11 42 -0.58 - 58 0 0 22 16 26 23 29 5.1 13 214 -30 21 14 46 23 19 5 20 20 5 24 16 18 -0.59 - 57 0 0 23 20 28 23 29 6.6 11 214 -31 22 18 17 24 23 38 21 23 10 25 21 22 -0.59 - 56 0 0 24 24 54 23 29 7.9 10 215 -31 23 22 13 25 28 36 22 26 40 26 26 50 -0.59 - 55 0 0 25 29 41 23 29 9.0 8 215 -32 24 26 31 26 33 54 23 30 33 27 32 37 -0.59 - 54 0 0 26 34 45 23 29 10.0 7 216 -33 25 31 7 27 39 28 24 34 44 28 38 40 -0.60 - 53 0 0 27 40 2 23 29 10.8 6 216 -34 26 35 56 28 45 14 25 39 10 29 44 53 -0.60 - 52 0 0 28 45 27 23 29 11.4 4 217 -35 27 40 54 29 51 7 26 43 45 30 51 13 -0.61 - 51 0 0 29 50 56 23 29 11.8 3 217 -35 28 45 57 30 57 3 27 48 26 31 57 34 -0.63 - 50 0 0 30 56 24 23 29 12.0 1 218 -36 29 51 1 32 2 57 28 53 9 .. .. .. -0.68 - 49 0 0 32 1 47 23 29 12.1 0 218 -37 30 56 1 .. .. .. 29 57 49 .. .. .. -3.39 Uncertainty in time = +/- 5 secs Prediction of 2021 Jun 12.0 Data for the target star ------------------------ * name: UCAC4 241-161582 * constellation : Corona Australis * BCRS position with proper motion to date of event [h,m,s ; °,',"] RA: 18 21 17.4353 DE: -41 55 01.927 * GCRS Astrometric position with proper motion and parallax to date of event [h,m,s ; °,',"] RA: 18 21 17.4353 DE: -41 55 01.927 * position source: Gaia EDR3 * standard error: RA,DE [mas]: (0.100,0.100) * V mag [mag]: 12.2 * Diameter [mas]: 0.00 * remarks: Data for the minor planet ------------------------- * general information: (number) name: (617) Patroclus asteroid class: asteroid system: multiple bodies approx. diameter [km]: 131 approx. diameter ["]: 0.036 distance from Earth [AU]: 5.08520 asteroid position offset in RA [mas]: 0 asteroid position offset in DE [mas]: 0 * orbital information: orbit source: JPL#82 date of fit: 2021 Apr 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): 0.031", 0.003", 101.9° remarks: * orbital elements for (617)Patroclus : Mean anomaly = 308.9606502752 deg Arg. of pericenter = 308.2270408935 deg Long. of node = 44.3593833486 deg Inclination = 22.0622510158 deg Eccentricity = 0.1398819545 Semimajor axis = 5.2096621455 AU Perihelion dist = 4.4809244223 AU Mag: H = 8.24, G = 0.15 Epoch of elements : MJD 59871.97611111 TDT (2022 Oct 19.9761) ------ occelmnt file for Occult BEGIN ----------------------------------- JPL#822021Apr23 Binary solution 1 : Kepler,5.19,2022,10,19,23.4262,-0.128989,0.489248,13.763663,3.640490,0.005627,-0.000482,0.000000,0.000000 -104.0847,-41.9088,-175.17,-10.24,False UCAC4 241-161582,18.35484317,-41.9172019,0.00,12.22,0.00,0.0,0,,18.38139449,-41.9088092 617,Patroclus #1,15.88,131.0,5.0852,0,1,2.132,6.30,,10.0 Menoetius,98,680,4.283000,0.0200,,,,, 0,308.8797,2022,10,19,308.2270,44.3594,22.0623,0.13988,5.20966,4.48092,8.24,5.0,0.15 1.450,0.0317,0.0031,102,0.0145,Known errors + binary orbit,-1.00,-1,-1,-1 20221019_161582_Ma1,59377.00 ------ occelmnt file for Occult END ----------------------------------- ============================================ Calculator (s): Steve Preston Date of update: 2021 Jun 12, 19:28 UT Steve Preston 7640 NE 32nd St Medina, WA 98039 stevepr@acm.org