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: 15GK56 # Created Wed Dec 25 02:10:16 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 41 observations of 41 # Arc: 6.23y # First observation: 2015/02/17 # Last observation: 2021/05/12 # Chi-squared of fit: 9.80 DOF: 76 RMS: 0.09 # Min/Max residuals: -0.26 0.32 # Exact a, adot, b, bdot, g, gdot: 1.434378E-05 1.901159E-02 5.952320E-07 6.411976E-04 2.147326E-02 -1.391304E-03 # Covariance matrix: 1.5010E-13 -2.4833E-14 2.2768E-16 -8.6449E-16 9.5105E-14 -2.0459E-13 -2.4833E-14 1.5550E-13 -3.0026E-15 6.0330E-15 7.7719E-14 1.4724E-12 2.2768E-16 -3.0026E-15 5.1437E-14 -1.5145E-14 -1.6313E-15 -3.1298E-14 -8.6449E-16 6.0330E-15 -1.5145E-14 1.4411E-14 2.8604E-15 6.3310E-14 9.5105E-14 7.7719E-14 -1.6313E-15 2.8604E-15 1.4575E-13 7.0469E-13 -2.0459E-13 1.4724E-12 -3.1298E-14 6.3310E-14 7.0469E-13 1.5445E-11 # lat0 lon0 xBary yBary zBary JD0 0.721769 -157.701783 0.797972 0.007429 -0.577910 2457070.990628 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 242.82509 +/- 0.063 Argument of Peri: 147.20596 +/- 0.059 Long of Asc Node: 181.19146 +/- 0.004 Inclination: 2.06983 +/- 0.000 Eccentricity: 0.10319427 +/- 0.0002 Semi-Major Axis: 44.70024890 +/- 0.0027 Time of Perihelion: 2492600.5204 +/- 20.3 Perihelion: 40.08743935 +/- 0.0079 Aphelion: 49.31305845 +/- 0.0081 Period (y) 298.8637 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -43.92399843 +/- 0.0008 Ecliptic Y -17.14936660 +/- 0.0003 Ecliptic Z 0.58665287 +/- 0.0000 Ecliptic XDOT 0.00108114 +/- 0.0000 Ecliptic YDOT -0.00218060 +/- 0.0000 Ecliptic ZDOT 0.00007960 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.15684428 +/- 0.0007 Geocenter to KBO 46.56960372 +/- 0.0008 # Hcoef: 7.54
The following table shows the complete astrometric record for 15GK56. 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 (15GK56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.48985 13 23 33.681 -08 00 38.54 24.2r 15GK56 568 C~2nvR 2015 02 17.53111 13 23 33.597 -08 00 37.88 24.2r 15GK56 568 C~2nvR 2015 02 20.46189 13 23 27.187 -07 59 56.22 24.2r 15GK56 568 C~2nvR 2015 03 18.45830 13 22 08.297 -07 51 39.30 24.7r 15GK56 568 C~2nvR 2015 03 18.50960 13 22 08.111 -07 51 38.05 24.2r 15GK56 568 C~2nvR 2015 03 20.51135 13 22 00.720 -07 50 52.44 24.3r 15GK56 568 C~2nvR 2015 04 11.37862 13 20 33.943 -07 41 59.88 23.6r 15GK56 568 C~2nvR 2015 04 11.40216 13 20 33.835 -07 41 59.50 24.4r 15GK56 568 C~2nvR 2015 04 12.35479 13 20 29.935 -07 41 35.82 24.3r 15GK56 568 C~2nvR 2015 04 12.39573 13 20 29.753 -07 41 34.87 24.1r 15GK56 568 C~2nvR 2015 04 12.44139 13 20 29.561 -07 41 33.63 24.5r 15GK56 568 C~2nvR 2015 04 14.45255 13 20 21.312 -07 40 43.46 24.2r 15GK56 568 C~2nvR 2015 04 16.39045 13 20 13.386 -07 39 55.32 24.0r 15GK56 568 C~2nvR 2015 04 18.41130 13 20 05.134 -07 39 05.32 23.9r 15GK56 568 C~2nvS 2015 04 18.45422 13 20 04.946 -07 39 04.24 24.4r 15GK56 568 C~2nvS 2015 05 16.25241 13 18 20.366 -07 28 35.19 24.4r 15GK56 568 C~2nvS 2015 05 25.36134 13 17 52.486 -07 25 49.66 24.3r 15GK56 568 C~2nvS 2015 05 25.40527 13 17 52.357 -07 25 49.05 24.3r 15GK56 568 C~2nvS 2015 06 21.31362 13 16 59.337 -07 20 41.74 24.2r 15GK56 568 C~2nvS 2015 06 22.27001 13 16 58.381 -07 20 36.55 24.2r 15GK56 568 C~2nvS 2015 07 12.26411 13 16 54.213 -07 20 23.59 24.6r 15GK56 568 C~2nvS 2015 07 19.25345 13 17 00.071 -07 21 03.19 24.1r 15GK56 568 C~2nvS 2016 02 04.55519 13 28 03.348 -08 25 10.01 24.5w 15GK56 568 C~2nvS 2016 02 10.54313 13 27 55.834 -08 24 17.47 24.8w 15GK56 568 C~2nvS 2016 03 11.54434 13 26 40.860 -08 16 19.64 25.0w 15GK56 568 C~2nvS 2016 04 03.42913 13 25 14.660 -08 07 31.47 24.3w 15GK56 568 C~2nvS 2016 04 09.40893 13 24 50.235 -08 05 03.52 24.2w 15GK56 568 C~2nvS 2016 05 01.35644 13 23 21.617 -07 56 11.47 24.8w 15GK56 568 C~2nvS 2016 05 02.29905 13 23 17.979 -07 55 49.92 24.0w 15GK56 568 C~2nvS 2016 05 06.30882 13 23 02.871 -07 54 19.82 24.4w 15GK56 568 C~2nvS 2016 05 28.27599 13 21 51.725 -07 47 20.50 24.3w 15GK56 568 C~2nvS 2016 05 28.28005 13 21 51.712 -07 47 20.46 24.2w 15GK56 568 C~2nvS 2016 05 28.28814 13 21 51.688 -07 47 20.33 24.4w 15GK56 568 C~2nvS 2016 06 04.35749 13 21 34.200 -07 45 38.92 24.3w 15GK56 568 C~2nvS 2016 06 04.36154 13 21 34.197 -07 45 38.97 24.3w 15GK56 568 C~2nvS 2016 06 27.28890 13 21 00.741 -07 42 32.12 24.7w 15GK56 568 C~2nvS 2016 07 07.29150 13 20 58.360 -07 42 24.47 24.6w 15GK56 568 C~2nvS 2017 06 21.28782 13 25 14.860 -08 05 17.95 24.3w 15GK56 568 C~2nvS 2021 05 12.206490 13 43 54.538 -09 43 44.52 23.9G 15GK56 G37 C~4pVn 2021 05 12.258300 13 43 54.355 -09 43 43.34 15GK56 G37 C~4pVn 2021 05 12.306100 13 43 54.176 -09 43 42.46 15GK56 G37 C~4pVn
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 -0.08 0.00 0.00 2 0.0001 0.00 -0.00 0.00 0.10 3 0.0081 0.00 0.01 0.00 0.02 4 0.0793 0.00 0.05 0.00 -0.02 5 0.0795 0.00 0.13 0.00 0.07 6 0.0849 0.00 0.02 0.00 -0.02 7 0.1448 0.00 0.21 0.00 0.32 8 0.1449 0.00 0.06 0.00 0.11 9 0.1475 0.00 0.12 0.00 0.02 10 0.1476 0.00 -0.05 0.00 -0.05 11 0.1477 0.00 -0.07 0.00 0.05 12 0.1532 0.00 -0.08 0.00 0.08 13 0.1585 0.00 -0.01 0.00 0.03 14 0.1641 0.00 0.01 0.00 -0.01 15 0.1642 0.00 -0.14 0.00 0.01 16 0.2403 0.00 0.05 0.00 -0.06 17 0.2652 0.00 0.01 0.00 0.07 18 0.2653 0.00 -0.02 0.00 -0.05 19 0.3390 0.00 -0.00 0.00 0.02 20 0.3416 0.00 0.01 0.00 -0.04 21 0.3964 0.00 -0.19 0.00 0.00 22 0.4155 0.00 0.05 0.00 -0.04 23 0.9639 0.00 0.06 0.00 -0.05 24 0.9803 0.00 0.04 0.00 -0.01 25 1.0624 0.00 -0.26 0.00 -0.06 26 1.1251 0.00 -0.03 0.00 -0.06 27 1.1415 0.00 -0.00 0.00 -0.02 28 1.2016 0.00 0.11 0.00 -0.04 29 1.2041 0.00 -0.18 0.00 -0.08 30 1.2151 0.00 0.02 0.00 0.05 31 1.2753 0.00 0.04 0.00 -0.01 32 1.2753 0.00 0.02 0.00 -0.03 33 1.2753 0.00 -0.01 0.00 -0.03 34 1.2946 0.00 -0.07 0.00 0.02 35 1.2947 0.00 0.03 0.00 -0.08 36 1.3574 0.00 -0.06 0.00 -0.17 37 1.3848 0.00 -0.04 0.00 -0.14 38 2.3403 0.00 -0.03 0.00 0.03 39 6.2306 0.00 -0.16 0.00 0.03 40 6.2307 0.00 0.08 0.00 0.12 41 6.2308 0.00 0.15 0.00 -0.02
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.
15GK56 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.312 44.312 44.312 ecceobj 0.110 0.110 0.110 incobj 2.081 2.081 2.081 qmin 38.801 38.806 38.804 qmax 50.755 50.735 50.755 amean 44.608 44.608 44.608 amin 44.241 44.243 44.240 amax 45.043 45.041 45.026 emean 0.111 0.111 0.111 emin 0.091 0.090 0.090 emax 0.128 0.128 0.128 imean 2.946 2.945 2.946 imin 2.103 2.100 2.103 imax 3.736 3.735 3.738 excite_mean 0.122 0.122 0.122 fracstop 1.000 1.000 1.000 cjmean 3.091 3.091 3.091 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 184.1 184.1 184.3 kozaiamp 180.0 180.0 180.0