The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 15GA58 # Created Fri Nov 22 02:10:21 2024 # Orbit generated from Bernstein formalism # Fitting 27 observations of 27 # Arc: 2.35y # First observation: 2015/02/17 # Last observation: 2017/06/24 Preliminary a, adot, b, bdot, g, gdot: -0.000138 0.028724 0.000003 -0.008946 0.027411 0.000000 # Chi-squared of fit: 4.15 DOF: 48 RMS: 0.07 # Min/Max residuals: -0.37 0.12 # Exact a, adot, b, bdot, g, gdot: 1.660364E-05 2.853850E-02 -5.246696E-06 -8.903727E-03 2.744849E-02 -2.127461E-03 # Covariance matrix: 1.7295E-13 -6.1613E-14 1.7634E-15 -1.1877E-14 1.1248E-13 7.0188E-13 -6.1613E-14 6.7727E-13 5.5016E-14 -2.7068E-13 2.3599E-13 1.5398E-11 1.7634E-15 5.5016E-14 1.0264E-13 -1.0761E-13 2.4336E-14 1.5964E-12 -1.1877E-14 -2.7068E-13 -1.0761E-13 2.8486E-13 -1.2417E-13 -7.8620E-12 1.1248E-13 2.3599E-13 2.4336E-14 -1.2417E-13 2.4980E-13 7.1001E-12 7.0188E-13 1.5398E-11 1.5964E-12 -7.8620E-12 7.1001E-12 4.4732E-10 # lat0 lon0 xBary yBary zBary JD0 1.890161 -156.380779 0.810223 0.018633 -0.560352 2457071.077078 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 328.47197 +/- 0.160 Argument of Peri: 215.85726 +/- 0.237 Long of Asc Node: 28.31376 +/- 0.000 Inclination: 17.39588 +/- 0.001 Eccentricity: 0.14935658 +/- 0.0005 Semi-Major Axis: 42.04276082 +/- 0.0057 Time of Perihelion: 2465790.7622 +/- 44.1 Perihelion: 35.76339805 +/- 0.0211 Aphelion: 48.32212359 +/- 0.0216 Period (y) 272.6120 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -34.20286301 +/- 0.0006 Ecliptic Y -14.07096703 +/- 0.0003 Ecliptic Z 1.20146353 +/- 0.0000 Ecliptic XDOT 0.00130433 +/- 0.0000 Ecliptic YDOT -0.00254044 +/- 0.0000 Ecliptic ZDOT -0.00089453 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.00366827 +/- 0.0006 Geocenter to KBO 36.43188264 +/- 0.0007 # Hcoef: 7.33
The following table shows the complete astrometric record for 15GA58. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (15GA58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.57630 13 30 15.469 -07 24 47.39 23.1r 15GA58 568 C~2nvY 2015 02 17.61724 13 30 15.361 -07 24 46.92 23.1r 15GA58 568 C~2nvY 2015 02 20.61032 13 30 07.459 -07 24 08.08 23.0r 15GA58 568 C~2nvY 2015 03 18.55474 13 28 29.852 -07 15 57.05 22.9r 15GA58 568 C~2nvY 2015 03 18.59568 13 28 29.662 -07 15 56.10 23.0r 15GA58 568 C~2nvY 2015 04 11.49312 13 26 30.079 -07 05 59.01 22.9r 15GA58 568 C~2nvY 2015 04 13.35741 13 26 20.329 -07 05 11.10 22.8r 15GA58 568 C~2nvY 2015 04 13.39836 13 26 20.108 -07 05 10.03 22.8r 15GA58 568 C~2nvY 2015 04 13.47268 13 26 19.710 -07 05 08.14 22.9r 15GA58 568 C~2nvY 2015 04 13.47763 13 26 19.683 -07 05 07.96 22.9r 15GA58 568 C~2nvY 2015 04 19.39819 13 25 48.680 -07 02 37.27 22.9r 15GA58 568 C~2nvY 2015 04 19.50989 13 25 48.076 -07 02 34.45 15GA58 568 C~2nvY 2015 04 19.51516 13 25 48.064 -07 02 34.35 22.8r 15GA58 568 C~2nvY 2015 05 18.27253 13 23 29.960 -06 52 01.42 23.0r 15GA58 568 C~2nvY 2015 06 20.27087 13 21 52.869 -06 46 39.83 22.9r 15GA58 568 C~2nvY 2015 06 20.31175 13 21 52.814 -06 46 39.42 23.1r 15GA58 568 C~2nvY 2015 06 22.31546 13 21 49.922 -06 46 38.59 23.2r 15GA58 568 C~2nvY 2015 07 14.26780 13 21 43.696 -06 49 03.38 23.1r 15GA58 568 C~2nvY 2016 02 04.57138 13 36 03.470 -08 30 55.88 23.2w 15GA58 568 C~2nvY 2016 02 10.55937 13 35 55.198 -08 30 26.21 23.2w 15GA58 568 C~2nvY 2016 02 10.60896 13 35 55.102 -08 30 25.99 23.3w 15GA58 568 C~2nvY 2016 02 11.58117 13 35 53.423 -08 30 19.18 23.3w 15GA58 568 C~2nvY 2016 03 11.56702 13 34 24.492 -08 23 26.31 23.2w 15GA58 568 C~2nvY 2016 04 03.44126 13 32 35.948 -08 14 37.68 23.0w 15GA58 568 C~2nvY 2016 04 09.42106 13 32 04.789 -08 12 06.53 23.1w 15GA58 568 C~2nvY 2017 02 24.64250 13 40 49.244 -09 32 40.50 15GA58 568 C~2nvY 2017 06 24.28972 13 32 31.287 -08 56 02.55 23.2w 15GA58 568 C~2nvY
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 -0.03 0.00 0.02 2 0.0001 -1.67 -0.04 -0.15 -0.01 3 0.0083 -125.26 -0.04 -7.24 0.07 4 0.0793 -1656.21 0.00 -85.08 -0.00 5 0.0795 -1659.19 0.02 -85.24 0.00 6 0.1449 -3533.91 -0.04 -186.89 -0.04 7 0.1500 -3686.52 0.12 -196.00 0.02 8 0.1501 -3689.97 0.08 -196.22 0.03 9 0.1503 -3696.18 0.07 -196.66 0.00 10 0.1503 -3696.62 0.04 -196.64 0.05 11 0.1665 -4181.32 -0.02 -227.24 0.04 12 0.1668 -4190.73 -0.17 -227.94 -0.02 13 0.1668 -4190.93 0.06 -227.92 0.04 14 0.2456 -6336.85 0.04 -401.70 0.07 15 0.3359 -7800.66 -0.04 -640.27 -0.37 16 0.3360 -7801.58 -0.01 -640.19 0.04 17 0.3415 -7841.94 -0.02 -655.45 0.03 18 0.4016 -7874.25 -0.03 -824.46 -0.03 19 0.9637 6265.31 -0.01 -1802.11 0.02 20 0.9801 6140.11 0.03 -1819.18 0.04 21 0.9802 6138.70 -0.04 -1819.49 -0.10 22 0.9829 6113.00 0.05 -1822.23 0.00 23 1.0623 4732.82 -0.05 -1919.02 0.04 24 1.1249 3039.38 0.04 -2016.07 0.04 25 1.1413 2553.47 -0.02 -2044.89 0.02 26 2.0207 11565.48 -0.00 -3722.46 -0.03 27 2.3483 3885.73 0.00 -4354.65 0.03
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
15GA58 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.651 41.661 41.641 ecceobj 0.144 0.145 0.143 incobj 17.461 17.461 17.461 qmin 34.737 34.530 34.852 qmax 49.494 49.600 49.262 amean 41.928 41.928 41.924 amin 41.548 41.561 41.566 amax 42.374 42.400 42.339 emean 0.149 0.150 0.146 emin 0.129 0.128 0.128 emax 0.170 0.173 0.165 imean 16.423 16.400 16.500 imin 15.431 15.383 15.516 imax 17.334 17.360 17.423 excite_mean 0.320 0.320 0.320 fracstop 1.000 1.000 1.000 cjmean 2.957 2.957 2.957 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 182.6 182.8 180.9 kozaiamp 180.0 180.0 180.0