IOTA/IOTA-ES occultation update for (8770) Totanus / TYC 1404-00041-1 event on 2024 Nov 05, 06:45 UT Visible from Summary ------- On 2024 Nov 05 UT, the 15.372 km diameter asteroid (8770) Totanus will occult a 11.2 mag star in the constellation Cancer for observers along a path across . In the case of an occultation, the combined light of the asteroid and the star will drop by 7.11 mag to 18.33 mag (the magnitude of the asteroid) for at most 0.840 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 Nov 05, 06:41 - 2024 Nov 05, 06:49 * geocentric midpoint of event [JD]: 2460619.78166000 * magnitude of target star: 11.22 * magnitude drop [mag]: 7.11 * estimated maximum duration [s]: 0.840 * Moon: 14 % sunlit, 131° distance * Sun: 88° distance * rough path description: The occultation path -------------------- * approximate projected width [km]: 23 * 1 sigma uncertainty interval [path widths]: +/- 0.26 * 1 sigma uncertainty interval [seconds]: +/- 2.5 * 1 sigma uncertainty interval approx RA,DE ["]: (+/- 0.023, +/- 0.007) * 1 sigma uncertainty ellipse (major, minor, PA): (0.024", 0.002", 106°) * approx speed of asteroid's shadow [km/s]: 18.3527 * website for maps: http://www.asteroidoccultation.com Path Coordinates: Occultation of TYC 1404-00041-1 by 8770 Totanus on 2024 Nov 5 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 - 85 0 0 -32 52 3 6 41 45.1 0 69 -38 -32 58 45 -32 45 21 -33 2 13 -32 41 54 .... - 84 0 0 -32 32 49 6 41 45.2 1 68 -38 -32 39 30 -32 26 8 -32 42 57 -32 22 42 0.60 - 83 0 0 -32 13 59 6 41 45.5 2 68 -38 -32 20 39 -32 7 20 -32 24 6 -32 3 55 0.81 - 82 0 0 -31 55 35 6 41 45.8 3 67 -38 -32 2 14 -31 48 57 -32 5 40 -31 45 32 0.90 - 81 0 0 -31 37 37 6 41 46.4 4 66 -38 -31 44 14 -31 31 0 -31 47 40 -31 27 35 0.95 - 80 0 0 -31 20 4 6 41 47.0 5 66 -37 -31 26 41 -31 13 29 -31 30 6 -31 10 5 0.98 - 79 0 0 -31 2 59 6 41 47.8 6 65 -37 -31 9 34 -30 56 24 -31 12 59 -30 53 1 1.01 - 78 0 0 -30 46 20 6 41 48.7 7 65 -37 -30 52 54 -30 39 46 -30 56 18 -30 36 23 1.02 - 77 0 0 -30 30 8 6 41 49.7 8 64 -37 -30 36 42 -30 23 36 -30 40 5 -30 20 13 1.03 - 76 0 0 -30 14 24 6 41 50.8 9 64 -36 -30 20 57 -30 7 53 -30 24 20 -30 4 31 1.04 - 75 0 0 -29 59 9 6 41 52.1 9 63 -36 -30 5 40 -29 52 38 -30 9 3 -29 49 17 1.05 - 74 0 0 -29 44 22 6 41 53.5 10 63 -36 -29 50 52 -29 37 52 -29 54 14 -29 34 31 1.06 - 73 0 0 -29 30 4 6 41 55.1 11 62 -35 -29 36 33 -29 23 35 -29 39 55 -29 20 14 1.06 - 72 0 0 -29 16 15 6 41 56.7 12 62 -35 -29 22 43 -29 9 47 -29 26 4 -29 6 27 1.07 - 71 0 0 -29 2 54 6 41 58.5 13 61 -35 -29 9 22 -28 56 27 -29 12 43 -28 53 8 1.07 - 70 0 0 -28 50 4 6 42 0.5 14 61 -34 -28 56 31 -28 43 38 -28 59 52 -28 40 19 1.08 - 69 0 0 -28 37 45 6 42 2.5 15 60 -34 -28 44 11 -28 31 19 -28 47 31 -28 28 1 1.08 - 68 0 0 -28 25 55 6 42 4.7 16 60 -33 -28 32 21 -28 19 31 -28 35 40 -28 16 12 1.08 - 67 0 0 -28 14 37 6 42 6.9 16 59 -33 -28 21 2 -28 8 13 -28 24 21 -28 4 55 1.09 - 66 0 0 -28 3 49 6 42 9.4 17 58 -32 -28 10 13 -27 57 26 -28 13 32 -27 54 8 1.09 - 65 0 0 -27 53 32 6 42 11.9 18 58 -32 -27 59 56 -27 47 10 -28 3 14 -27 43 53 1.09 - 64 0 0 -27 43 47 6 42 14.5 19 57 -31 -27 50 10 -27 37 25 -27 53 28 -27 34 8 1.09 - 63 0 0 -27 34 33 6 42 17.3 20 57 -31 -27 40 55 -27 28 12 -27 44 13 -27 24 55 1.10 - 62 0 0 -27 25 51 6 42 20.2 21 56 -30 -27 32 13 -27 19 30 -27 35 30 -27 16 14 1.10 - 61 0 0 -27 17 41 6 42 23.1 21 55 -30 -27 24 2 -27 11 21 -27 27 19 -27 8 4 1.10 - 60 0 0 -27 10 3 6 42 26.2 22 55 -29 -27 16 24 -27 3 43 -27 19 41 -27 0 27 1.10 - 59 0 0 -27 2 57 6 42 29.4 23 54 -28 -27 9 18 -26 56 38 -27 12 34 -26 53 22 1.10 - 58 0 0 -26 56 24 6 42 32.8 24 54 -28 -27 2 44 -26 50 5 -27 6 0 -26 46 49 1.11 - 57 0 0 -26 50 23 6 42 36.2 25 53 -27 -26 56 43 -26 44 5 -26 59 59 -26 40 49 1.11 - 56 0 0 -26 44 55 6 42 39.7 25 52 -26 -26 51 15 -26 38 37 -26 54 31 -26 35 22 1.11 - 55 0 0 -26 40 0 6 42 43.3 26 51 -26 -26 46 19 -26 33 42 -26 49 35 -26 30 27 1.11 - 54 0 0 -26 35 38 6 42 47.0 27 51 -25 -26 41 57 -26 29 21 -26 45 13 -26 26 6 1.11 - 53 0 0 -26 31 49 6 42 50.9 28 50 -24 -26 38 8 -26 25 32 -26 41 24 -26 22 17 1.11 - 52 0 0 -26 28 34 6 42 54.8 28 49 -24 -26 34 52 -26 22 16 -26 38 7 -26 19 2 1.11 - 51 0 0 -26 25 51 6 42 58.8 29 49 -23 -26 32 9 -26 19 34 -26 35 25 -26 16 19 1.11 - 50 0 0 -26 23 42 6 43 2.9 30 48 -22 -26 30 0 -26 17 25 -26 33 15 -26 14 10 1.11 - 49 0 0 -26 22 6 6 43 7.1 31 47 -21 -26 28 24 -26 15 49 -26 31 40 -26 12 35 1.12 - 48 0 0 -26 21 4 6 43 11.4 31 46 -21 -26 27 22 -26 14 47 -26 30 37 -26 11 33 1.12 - 47 0 0 -26 20 35 6 43 15.7 32 45 -20 -26 26 53 -26 14 18 -26 30 9 -26 11 4 1.12 - 46 0 0 -26 20 40 6 43 20.2 32 44 -19 -26 26 58 -26 14 23 -26 30 14 -26 11 9 1.12 - 45 0 0 -26 21 19 6 43 24.7 33 44 -18 -26 27 37 -26 15 2 -26 30 53 -26 11 47 1.12 - 44 0 0 -26 22 31 6 43 29.3 34 43 -17 -26 28 49 -26 16 14 -26 32 5 -26 12 59 1.12 - 43 0 0 -26 24 17 6 43 34.0 34 42 -17 -26 30 35 -26 18 0 -26 33 51 -26 14 45 1.12 - 42 0 0 -26 26 37 6 43 38.8 35 41 -16 -26 32 55 -26 20 19 -26 36 11 -26 17 4 1.12 - 41 0 0 -26 29 30 6 43 43.6 35 40 -15 -26 35 48 -26 23 12 -26 39 4 -26 19 57 1.12 - 40 0 0 -26 32 56 6 43 48.5 36 39 -14 -26 39 16 -26 26 38 -26 42 32 -26 23 23 1.12 - 39 0 0 -26 36 57 6 43 53.4 36 38 -13 -26 43 16 -26 30 38 -26 46 32 -26 27 23 1.12 - 38 0 0 -26 41 31 6 43 58.4 37 37 -12 -26 47 50 -26 35 12 -26 51 7 -26 31 57 1.12 - 37 0 0 -26 46 38 6 44 3.5 37 36 -11 -26 52 58 -26 40 19 -26 56 15 -26 37 3 1.12 - 36 0 0 -26 52 19 6 44 8.6 38 35 -11 -26 58 40 -26 45 59 -27 1 56 -26 42 44 1.13 - 35 0 0 -26 58 33 6 44 13.8 38 34 -10 -27 4 54 -26 52 13 -27 8 11 -26 48 57 1.13 - 34 0 0 -27 5 21 6 44 19.0 39 32 -9 -27 11 42 -26 59 0 -27 15 0 -26 55 44 1.13 - 33 0 0 -27 12 42 6 44 24.3 39 31 -8 -27 19 4 -27 6 21 -27 22 21 -27 3 4 1.13 - 32 0 0 -27 20 36 6 44 29.6 39 30 -7 -27 26 58 -27 14 14 -27 30 16 -27 10 57 1.13 - 31 0 0 -27 29 3 6 44 35.0 40 29 -6 -27 35 26 -27 22 40 -27 38 44 -27 19 23 1.13 - 30 0 0 -27 38 2 6 44 40.4 40 28 -5 -27 44 26 -27 31 39 -27 47 45 -27 28 22 1.13 - 29 0 0 -27 47 35 6 44 45.8 40 27 -4 -27 53 59 -27 41 11 -27 57 18 -27 37 53 1.13 - 28 0 0 -27 57 40 6 44 51.3 41 25 -3 -28 4 5 -27 51 16 -28 7 24 -27 47 57 1.13 - 27 0 0 -28 8 17 6 44 56.8 41 24 -3 -28 14 43 -28 1 52 -28 18 3 -27 58 34 1.13 - 26 0 0 -28 19 27 6 45 2.3 41 23 -2 -28 25 54 -28 13 1 -28 29 14 -28 9 42 1.13 - 25 0 0 -28 31 9 6 45 7.9 41 22 -1 -28 37 36 -28 24 42 -28 40 57 -28 21 23 1.13 - 24 0 0 -28 43 22 6 45 13.4 41 20 0 -28 49 50 -28 36 54 -28 53 11 -28 33 35 1.13 - 23 0 0 -28 56 7 6 45 19.0 41 19 1 -29 2 36 -28 49 38 -29 5 58 -28 46 18 1.13 - 22 0 0 -29 9 23 6 45 24.6 41 18 2 -29 15 53 -29 2 54 -29 19 15 -28 59 33 1.13 - 21 0 0 -29 23 10 6 45 30.2 42 16 3 -29 29 42 -29 16 40 -29 33 4 -29 13 19 1.13 - 20 0 0 -29 37 28 6 45 35.8 42 15 4 -29 44 1 -29 30 57 -29 47 23 -29 27 35 1.13 - 19 0 0 -29 52 17 6 45 41.3 41 14 5 -29 58 50 -29 45 45 -30 2 13 -29 42 22 1.13 - 18 0 0 -30 7 35 6 45 46.9 41 12 6 -30 14 10 -30 1 2 -30 17 34 -29 57 39 1.13 - 17 0 0 -30 23 24 6 45 52.5 41 11 7 -30 29 59 -30 16 49 -30 33 24 -30 13 26 1.13 - 16 0 0 -30 39 42 6 45 58.1 41 10 8 -30 46 18 -30 33 6 -30 49 43 -30 29 42 1.13 - 15 0 0 -30 56 29 6 46 3.7 41 8 9 -31 3 6 -30 49 52 -31 6 32 -30 46 28 1.13 - 14 0 0 -31 13 44 6 46 9.2 41 7 9 -31 20 23 -31 7 6 -31 23 49 -31 3 41 1.13 - 13 0 0 -31 31 28 6 46 14.7 41 6 10 -31 38 8 -31 24 49 -31 41 35 -31 21 24 1.13 - 12 0 0 -31 49 40 6 46 20.2 41 4 11 -31 56 21 -31 43 0 -31 59 48 -31 39 33 1.13 - 11 0 0 -32 8 19 6 46 25.7 40 3 12 -32 15 1 -32 1 38 -32 18 29 -31 58 11 1.13 - 10 0 0 -32 27 25 6 46 31.1 40 2 13 -32 34 9 -32 20 42 -32 37 37 -32 17 15 1.13 - 9 0 0 -32 46 58 6 46 36.5 40 1 14 -32 53 42 -32 40 14 -32 57 12 -32 36 45 1.13 - 8 0 0 -33 6 56 6 46 41.9 39 359 15 -33 13 42 -33 0 11 -33 17 12 -32 56 42 1.13 - 7 0 0 -33 27 20 6 46 47.2 39 358 16 -33 34 7 -33 20 33 -33 37 38 -33 17 4 1.13 - 6 0 0 -33 48 8 6 46 52.5 39 357 17 -33 54 57 -33 41 20 -33 58 28 -33 37 50 1.13 - 5 0 0 -34 9 21 6 46 57.7 38 356 18 -34 16 11 -34 2 32 -34 19 43 -33 59 1 1.13 - 4 0 0 -34 30 57 6 47 2.9 38 354 18 -34 37 49 -34 24 7 -34 41 22 -34 20 35 1.13 - 3 0 0 -34 52 57 6 47 8.0 37 353 19 -34 59 50 -34 46 5 -35 3 23 -34 42 32 1.13 - 2 0 0 -35 15 18 6 47 13.0 37 352 20 -35 22 13 -35 8 25 -35 25 47 -35 4 52 1.13 - 1 0 0 -35 38 2 6 47 18.0 36 351 21 -35 44 58 -35 31 7 -35 48 33 -35 27 33 1.13 0 0 0 -36 1 6 6 47 23.0 36 350 22 -36 8 4 -35 54 10 -36 11 39 -35 50 36 1.13 1 0 0 -36 24 31 6 47 27.8 35 349 23 -36 31 30 -36 17 33 -36 35 6 -36 13 58 1.13 2 0 0 -36 48 15 6 47 32.6 35 347 24 -36 55 15 -36 41 16 -36 58 53 -36 37 40 1.13 3 0 0 -37 12 19 6 47 37.3 34 346 24 -37 19 20 -37 5 18 -37 22 58 -37 1 41 1.13 4 0 0 -37 36 40 6 47 41.9 34 345 25 -37 43 43 -37 29 38 -37 47 21 -37 26 0 1.13 5 0 0 -38 1 18 6 47 46.4 33 344 26 -38 8 22 -37 54 15 -38 12 2 -37 50 37 1.13 6 0 0 -38 26 13 6 47 50.9 32 343 27 -38 33 19 -38 19 8 -38 36 59 -38 15 29 1.13 7 0 0 -38 51 23 6 47 55.3 32 342 28 -38 58 31 -38 44 17 -39 2 12 -38 40 38 1.13 8 0 0 -39 16 49 6 47 59.5 31 341 28 -39 23 57 -39 9 41 -39 27 39 -39 6 1 1.13 9 0 0 -39 42 28 6 48 3.7 30 340 29 -39 49 38 -39 35 19 -39 53 20 -39 31 38 1.13 10 0 0 -40 8 20 6 48 7.8 30 339 30 -40 15 32 -40 1 10 -40 19 15 -39 57 28 1.13 11 0 0 -40 34 24 6 48 11.8 29 338 31 -40 41 37 -40 27 13 -40 45 21 -40 23 30 1.13 12 0 0 -41 0 40 6 48 15.7 28 337 31 -41 7 54 -40 53 27 -41 11 39 -40 49 44 1.13 13 0 0 -41 27 6 6 48 19.4 28 336 32 -41 34 22 -41 19 52 -41 38 7 -41 16 8 1.13 14 0 0 -41 53 41 6 48 23.1 27 335 33 -42 0 58 -41 46 26 -42 4 44 -41 42 41 1.13 15 0 0 -42 20 25 6 48 26.7 26 334 34 -42 27 44 -42 13 8 -42 31 30 -42 9 23 1.13 16 0 0 -42 47 17 6 48 30.2 25 333 34 -42 54 36 -42 39 58 -42 58 24 -42 36 12 1.13 17 0 0 -43 14 14 6 48 33.5 25 333 35 -43 21 35 -43 6 55 -43 25 23 -43 3 8 1.13 18 0 0 -43 41 18 6 48 36.8 24 332 35 -43 48 40 -43 33 57 -43 52 29 -43 30 10 1.13 19 0 0 -44 8 26 6 48 39.9 23 331 36 -44 15 50 -44 1 4 -44 19 39 -43 57 16 1.13 20 0 0 -44 35 38 6 48 43.0 22 330 37 -44 43 3 -44 28 15 -44 46 53 -44 24 26 1.13 21 0 0 -45 2 53 6 48 45.9 22 329 37 -45 10 18 -44 55 28 -45 14 9 -44 51 39 1.13 22 0 0 -45 30 9 6 48 48.7 21 328 38 -45 37 36 -45 22 43 -45 41 27 -45 18 54 1.13 23 0 0 -45 57 26 6 48 51.4 20 327 38 -46 4 54 -45 50 0 -46 8 46 -45 46 9 1.13 24 0 0 -46 24 43 6 48 54.0 19 326 39 -46 32 12 -46 17 15 -46 36 4 -46 13 25 1.13 25 0 0 -46 51 59 6 48 56.5 19 326 39 -46 59 29 -46 44 30 -47 3 21 -46 40 39 1.13 26 0 0 -47 19 13 6 48 58.8 18 325 40 -47 26 43 -47 11 43 -47 30 36 -47 7 52 1.13 27 0 0 -47 46 23 6 49 1.1 17 324 40 -47 53 55 -47 38 53 -47 57 49 -47 35 1 1.13 28 0 0 -48 13 30 6 49 3.2 16 323 41 -48 21 2 -48 5 59 -48 24 57 -48 2 7 1.13 29 0 0 -48 40 32 6 49 5.2 16 322 41 -48 48 5 -48 33 0 -48 52 0 -48 29 7 1.13 30 0 0 -49 7 28 6 49 7.2 15 321 41 -49 15 2 -48 59 56 -49 18 57 -48 56 2 1.13 31 0 0 -49 34 18 6 49 9.0 14 321 42 -49 41 52 -49 26 44 -49 45 47 -49 22 51 1.13 32 0 0 -50 1 0 6 49 10.7 13 320 42 -50 8 35 -49 53 26 -50 12 30 -49 49 32 1.13 33 0 0 -50 27 34 6 49 12.3 13 319 42 -50 35 9 -50 19 59 -50 39 5 -50 16 5 1.13 34 0 0 -50 53 58 6 49 13.8 12 318 43 -51 1 34 -50 46 24 -51 5 31 -50 42 29 1.14 35 0 0 -51 20 13 6 49 15.2 11 317 43 -51 27 50 -51 12 38 -51 31 46 -51 8 43 1.14 36 0 0 -51 46 17 6 49 16.4 10 317 43 -51 53 54 -51 38 41 -51 57 50 -51 34 47 1.14 37 0 0 -52 12 9 6 49 17.6 10 316 44 -52 19 47 -52 4 34 -52 23 43 -52 0 39 1.14 38 0 0 -52 37 50 6 49 18.7 9 315 44 -52 45 27 -52 30 14 -52 49 24 -52 26 19 1.14 39 0 0 -53 3 17 6 49 19.7 8 314 44 -53 10 55 -52 55 41 -53 14 52 -52 51 46 1.14 40 0 0 -53 28 31 6 49 20.6 7 313 44 -53 36 9 -53 20 55 -53 40 6 -53 17 0 1.14 41 0 0 -53 53 31 6 49 21.4 7 312 44 -54 1 8 -53 45 54 -54 5 5 -53 41 59 1.15 42 0 0 -54 18 15 6 49 22.1 6 312 44 -54 25 53 -54 10 39 -54 29 50 -54 6 44 1.15 43 0 0 -54 42 45 6 49 22.8 5 311 45 -54 50 23 -54 35 9 -54 54 19 -54 31 14 1.15 44 0 0 -55 6 58 6 49 23.3 5 310 45 -55 14 36 -54 59 22 -55 18 33 -54 55 27 1.16 45 0 0 -55 30 55 6 49 23.8 4 309 45 -55 38 33 -55 23 20 -55 42 29 -55 19 25 1.16 46 0 0 -55 54 35 6 49 24.1 3 308 45 -56 2 12 -55 47 0 -56 6 9 -55 43 5 1.17 47 0 0 -56 17 58 6 49 24.4 2 307 45 -56 25 35 -56 10 23 -56 29 31 -56 6 28 1.18 48 0 0 -56 41 3 6 49 24.7 2 307 45 -56 48 39 -56 33 28 -56 52 35 -56 29 34 1.20 49 0 0 -57 3 49 6 49 24.8 1 306 45 -57 11 25 -56 56 15 -57 15 21 -56 52 21 1.25 50 0 0 -57 26 17 6 49 24.9 0 305 45 -57 33 52 -57 18 43 -57 37 48 -57 14 50 1.41 Uncertainty in time = +/- 2 secs Prediction of 2023 Jul 15.7 Data for the target star ------------------------ * name: TYC 1404-00041-1 * constellation : Cancer * BCRS position with proper motion to date of event [h,m,s ; °,',"] RA: 09 11 04.9827 DE: +17 44 37.288 * GCRS Astrometric position with proper motion and parallax to date of event [h,m,s ; °,',"] RA: 09 11 04.9827 DE: +17 44 37.288 * position source: Gaia DR3 * standard error: RA,DE [mas]: (0.300,0.200) * V mag [mag]: 11.2 * B mag [mag]: 11.7 * Diameter [mas]: 0.00 * remarks: Data for the minor planet ------------------------- * general information: (number) name: (8770) Totanus asteroid class: approx. diameter [km]: 15 approx. diameter ["]: 0.008 distance from Earth [AU]: 2.64410 asteroid position offset in RA [mas]: 0 asteroid position offset in DE [mas]: 0 * orbital information: orbit source: JPL#48 date of fit: 2023 Feb 10 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): 0.024", 0.002", 106.45° remarks: * orbital elements for (8770)Totanus : Mean anomaly = 340.3974278370 deg Arg. of pericenter = 64.7338457515 deg Long. of node = 73.9950659182 deg Inclination = 2.1012973752 deg Eccentricity = 0.1134061322 Semimajor axis = 3.1216777266 AU Perihelion dist = 2.7676603295 AU Mag: H = 12.96, G = 0.15 Epoch of elements : MJD 60619.28165896 TDT (2024 Nov 05.2817) ------ occelmnt file for Occult BEGIN ----------------------------------- JPL#482023Feb10,0.84,2024,11,5,6.759840,-0.177707,-0.726249,10.061272,-2.464800,-0.005610,0.001747,0.000000,0.000000 -8.2739,17.6428,74.50,-15.85,False TYC 1404-00041-1,9.18471739,17.7436912,11.67,11.22,10.98,0.0,0,,9.20788609,17.6427924,7.11,6.90,0,0,0 8770,Totanus,18.33,15.372,2.6441,0,0,2.342,-8.20,,1.6,0 0,340.3471,2024,11,5,64.7338,73.9951,2.1013,0.11341,3.12168,2.76766,12.96,5.0,0.15 1.258,0.0237,0.0018,106,0.0021,Known errors,1.44,0,-1,-1 20241105_0041-1,60140.68 ------ occelmnt file for Occult END ----------------------------------- ============================================ Calculator (s): Steve Preston Date of update: 2023 Jul 15, 16:21 UT Steve Preston 7640 NE 32nd St Medina, WA 98039 stevepr@acm.org