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: 15GK55 # Created Fri Nov 22 02:10:19 2024 # Orbit generated from Bernstein formalism # Fitting 35 observations of 36 # Arc: 2.11y # First observation: 2015/02/17 # Last observation: 2017/03/30 Preliminary a, adot, b, bdot, g, gdot: -0.000240 0.032684 -0.000033 0.016743 0.030278 0.000000 # Chi-squared of fit: 9.58 DOF: 64 RMS: 0.09 # Min/Max residuals: -0.46 0.20 # Exact a, adot, b, bdot, g, gdot: 1.704841E-05 3.230988E-02 8.118875E-06 1.650665E-02 3.028949E-02 -3.902707E-03 # Covariance matrix: 1.5429E-13 -1.9606E-14 -9.2135E-15 4.4900E-14 1.2527E-13 1.6947E-12 -1.9606E-14 3.5313E-13 -3.5716E-14 1.9299E-13 1.9174E-13 7.2798E-12 -9.2135E-15 -3.5716E-14 9.4697E-14 -1.1185E-13 -3.0339E-14 -1.1954E-12 4.4900E-14 1.9299E-13 -1.1185E-13 3.0689E-13 1.5670E-13 6.4918E-12 1.2527E-13 1.9174E-13 -3.0339E-14 1.5670E-13 2.7521E-13 5.9123E-12 1.6947E-12 7.2798E-12 -1.1954E-12 6.4918E-12 5.9123E-12 2.4487E-10 # lat0 lon0 xBary yBary zBary JD0 2.347783 -154.043109 0.832264 0.021743 -0.526940 2457071.093388 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 339.35319 +/- 0.048 Argument of Peri: 40.98439 +/- 0.094 Long of Asc Node: 200.03978 +/- 0.000 Inclination: 27.25311 +/- 0.001 Eccentricity: 0.26602259 +/- 0.0003 Semi-Major Axis: 43.88794080 +/- 0.0079 Time of Perihelion: 2463161.1928 +/- 14.2 Perihelion: 32.21275713 +/- 0.0143 Aphelion: 55.56312447 +/- 0.0164 Period (y) 290.7542 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.50065861 +/- 0.0005 Ecliptic Y -13.92068521 +/- 0.0002 Ecliptic Z 1.35272255 +/- 0.0000 Ecliptic XDOT 0.00164649 +/- 0.0000 Ecliptic YDOT -0.00245041 +/- 0.0000 Ecliptic ZDOT 0.00147642 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.55451551 +/- 0.0005 Geocenter to KBO 33.01475402 +/- 0.0006 # Hcoef: 9.30
The following table shows the complete astrometric record for 15GK55. 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 (15GK55) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.59261 13 39 42.623 -07 50 17.11 24.7r 15GK55 568 C~2lVA 2015 02 17.63360 13 39 42.531 -07 50 16.12 25.0r 15GK55 568 C~2lVA 2015 02 20.62674 13 39 35.687 -07 48 54.89 24.7r 15GK55 568 C~2lVA 2015 03 18.57107 13 38 02.885 -07 34 13.96 24.9r 15GK55 568 C~2lVA 2015 03 18.61845 13 38 02.657 -07 34 12.23 24.9r 15GK55 568 C~2lVA 2015 03 20.57526 13 37 53.645 -07 32 55.69 25.0r 15GK55 568 C~2lVA 2015 04 11.50958 13 36 01.574 -07 17 53.38 24.6r 15GK55 568 C~2lVA 2015 04 11.51365 13 36 01.552 -07 17 53.18 24.4r 15GK55 568 C~2lVA 2015 04 13.37789 13 35 51.489 -07 16 34.99 24.3r 15GK55 568 C~2lVA 2015 04 13.41891 13 35 51.272 -07 16 33.42 24.2r 15GK55 568 C~2lVA 2015 04 13.42365 13 35 51.248 -07 16 33.16 24.1r 15GK55 568 C~2lVA 2015 04 13.42846 13 35 51.225 -07 16 32.96 24.4r 15GK55 568 C~2lVA 2015 04 13.43331 13 35 51.205 -07 16 32.82 23.9r 15GK55 568 C~2lVA 2015 04 13.43815 13 35 51.164 -07 16 32.65 24.2r 15GK55 568 C~2lVA 2015 04 13.52145 13 35 50.714 -07 16 29.09 24.4r 15GK55 568 C~2lVA 2015 04 19.48929 13 35 18.391 -07 12 20.76 24.3r 15GK55 568 C~2lVA 2015 04 19.56015 13 35 17.975 -07 12 17.55 24.0r 15GK55 568 C~2lVA 2015 05 18.34130 13 32 53.569 -06 54 06.83 24.8r 15GK55 568 C~2lVA 2015 07 14.28829 13 31 04.879 -06 38 05.69 15GK55 568 C~2lVA 2015 07 20.28135 13 31 12.800 -06 38 24.14 24.5r 15GK55 568 C~2lVA 2016 02 04.53833 13 48 21.751 -07 42 14.06 24.8w 15GK55 568 C~2lVB 2016 02 04.59350 13 48 21.726 -07 42 13.04 24.6w 15GK55 568 C~2lVB 2016 02 04.60621 13 48 21.710 -07 42 12.87 24.4w 15GK55 568 C~2lVB 2016 02 04.65482 13 48 21.681 -07 42 11.79 24.1w 15GK55 568 C~2lVB 2016 02 11.58929 13 48 15.895 -07 39 47.07 25.1w 15GK55 568 C~2lVB 2016 03 11.59678 13 46 57.547 -07 24 59.87 24.6w 15GK55 568 C~2lVB 2016 04 03.46957 13 45 10.137 -07 09 48.79 24.4w 15GK55 568 C~2lVB 2016 04 13.45991 13 44 16.734 -07 02 51.39 25.0w 15GK55 568 C~2lVB 2016 04 14.36209 13 44 11.852 -07 02 13.98 24.6w 15GK55 568 C~2lVB 2016 05 02.34774 13 42 35.082 -06 50 09.91 24.6w 15GK55 568 C~2lVB 2016 05 07.35110 13 42 09.400 -06 47 02.41 24.7w 15GK55 568 C~2lVB 2016 05 29.34365 13 40 31.609 -06 35 16.38 24.8w 15GK55 568 C~2lVB 2016 06 04.40605 13 40 10.501 -06 32 44.06 24.6w 15GK55 568 C~2lVB 2016 06 27.34644 13 39 21.170 -06 26 27.18 25.0w 15GK55 568 C~2lVB 2016 07 07.33613 13 39 16.510 -06 25 28.30 25.8w 15GK55 568 C~2lVB 2017 03 30.51119 13 54 05.489 -06 58 52.73 15GK55 568 C~2lVB
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 -0.04 0.00 0.10 2 0.0001 -1.63 -0.01 0.43 0.02 3 0.0083 -125.80 -0.04 39.46 -0.03 4 0.0793 -1730.51 0.14 362.11 0.14 5 0.0795 -1734.30 0.07 362.50 -0.01 6 0.0848 -1886.94 0.06 385.35 0.04 7 0.1449 -3767.99 0.03 622.05 -0.01 8 0.1449 -3768.37 0.02 622.11 0.02 9 0.1500 -3936.33 -0.15 640.62 0.05 10 0.1501 -3939.91 0.02 640.91 -0.04 11 0.1501 -3940.34 0.03 641.02 0.03 12 0.1501 -3940.73 0.08 641.09 0.05 13 0.1501 -3941.06 0.20 641.11 0.03 14 0.1502 -3941.69 0.01 641.05 -0.08 15 0.1504 -3949.22 0.11 641.93 0.03 16 0.1667 -4487.78 0.01 698.63 -0.22 17 0.1669 -4494.72 -0.46 699.37 -0.11 18 0.2457 -6895.84 -0.01 933.05 -0.02 19 0.4016 -8756.70 -0.09 1237.33 -0.09 20 0.4180 -8639.89 0.05 1263.29 0.04 21 0.9636 7032.21 -0.00 3219.44 0.00 22 0.9637 7031.50 0.05 3220.26 0.02 23 0.9638 7031.21 -0.05 3220.33 -0.09 24 0.9639 7030.42 -0.15 3221.19 0.05 25 0.9829 6898.36 0.01 3325.82 0.03 26 1.0623 5492.09 -0.08 3739.00 -0.05 27 1.1249 3672.66 0.04 4018.10 0.06 28 1.1523 2780.61 -0.03 4122.83 0.10 29 1.1547 2699.32 0.10 4131.68 -0.01 30 1.2040 1094.03 -0.06 4289.95 0.05 31 1.2177 669.58 0.14 4327.33 -0.05 32 1.2779 -944.20 0.05 4461.30 0.08 33 1.2945 -1292.60 -0.05 4489.95 -0.15 34 1.3573 -2114.56 -0.04 4576.12 0.04 35 1.3847 -2200.63 ( 0.10) 4605.96 ( 0.53) 36 2.1134 10901.38 0.02 7475.35 -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.
15GK55 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE Type: 7:4EII 7:4EII 7:4EII axisobj 43.466 43.478 43.453 ecceobj 0.260 0.261 0.260 incobj 27.355 27.355 27.355 qmin 29.903 29.923 29.873 qmax 58.133 58.045 58.224 amean 43.724 43.724 43.724 amin 43.349 43.347 43.361 amax 44.195 44.212 44.210 emean 0.226 0.223 0.228 emin 0.120 0.109 0.126 emax 0.316 0.314 0.317 imean 28.364 28.446 28.311 imin 25.988 26.054 25.921 imax 30.490 30.591 30.427 excite_mean 0.530 0.530 0.530 fracstop 1.000 1.000 1.000 cjmean 2.749 2.748 2.749 libcent 0 181.1 180.5 182.6 libamp 0 55.1 71.0 44.2 libcent 1 186.6 186.8 185.6 libamp 1 105.4 114.4 96.9 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 146.9 153.5 144.7 kozaiamp 180.0 180.0 180.0