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: 15VL168 # Created Tue Apr 1 01:10:39 2025 # Orbit generated from Bernstein formalism # Fitting 30 observations of 30 # Arc: 2.27y # First observation: 2015/09/07 # Last observation: 2017/12/16 Preliminary a, adot, b, bdot, g, gdot: -0.000011 0.009086 0.000006 -0.002639 0.013988 0.000000 # Chi-squared of fit: 7.69 DOF: 54 RMS: 0.09 # Min/Max residuals: -0.24 0.22 # Exact a, adot, b, bdot, g, gdot: 1.032405E-05 9.038227E-03 -3.090070E-06 -2.599146E-03 1.392347E-02 -6.016247E-03 # Covariance matrix: 2.8079E-13 -5.1511E-14 1.8046E-14 -8.0051E-14 2.6084E-13 1.7133E-11 -5.1511E-14 1.5588E-13 2.7558E-15 -1.2024E-14 5.7162E-14 2.5754E-12 1.8046E-14 2.7558E-15 1.1032E-13 -1.0805E-13 3.1410E-14 3.3838E-12 -8.0051E-14 -1.2024E-14 -1.0805E-13 2.1625E-13 -1.3993E-13 -1.5231E-11 2.6084E-13 5.7162E-14 3.1410E-14 -1.3993E-13 4.0261E-13 2.9943E-11 1.7133E-11 2.5754E-12 3.3838E-12 -1.5231E-11 2.9943E-11 3.2576E-09 # lat0 lon0 xBary yBary zBary JD0 -0.401278 51.776106 0.932174 -0.002593 -0.391496 2457273.129809 # Heliocentric elements and errors Epoch: 2457270.5000 = 2015/09/05 Mean Anomaly: 319.21330 +/- 0.539 Argument of Peri: 289.89469 +/- 0.155 Long of Asc Node: 229.66525 +/- 0.000 Inclination: 16.20733 +/- 0.002 Eccentricity: 0.57126312 +/- 0.0048 Semi-Major Axis: 87.80449155 +/- 0.7108 Time of Perihelion: 2491318.3411 +/- 176.6 Perihelion: 37.64502405 +/- 0.5192 Aphelion: 137.96395906 +/- 1.1934 Period (y) 822.7792 +/- 9.99 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 45.40764252 +/- 0.0020 Ecliptic Y 56.15185545 +/- 0.0026 Ecliptic Z -0.50321847 +/- 0.0000 Ecliptic XDOT -0.00213223 +/- 0.0000 Ecliptic YDOT 0.00016106 +/- 0.0000 Ecliptic ZDOT -0.00050273 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 72.21591306 +/- 0.0024 Geocenter to KBO 71.82115165 +/- 0.0033 # Hcoef: 6.11
The following table shows the complete astrometric record for 15VL168. 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 (15VL168) followed by the observatory code and reference code for the source of the astrometry.
2015 09 07.62902 03 17 51.670 +17 49 19.01 24.8w 15VL168 568 C~2lVm 2015 09 12.49264 03 17 46.454 +17 48 50.00 24.8w 15VL168 568 C~2lVm 2015 10 07.53854 03 17 01.694 +17 45 13.53 24.7w 15VL168 568 C~2lVm 2015 10 07.59790 03 17 01.562 +17 45 12.92 25.0w 15VL168 568 C~2lVm 2015 10 09.57780 03 16 56.900 +17 44 51.56 24.6w 15VL168 568 C~2lVm 2015 11 07.33264 03 15 37.528 +17 38 57.42 24.8r 15VL168 568 C~2lVm 2015 11 07.37479 03 15 37.400 +17 38 56.86 24.4r 15VL168 568 C~2lVm 2015 11 07.41697 03 15 37.279 +17 38 56.19 24.4r 15VL168 568 C~2lVm 2015 11 10.49950 03 15 27.955 +17 38 15.54 24.8w 15VL168 568 C~2lVm 2015 11 17.34635 03 15 07.223 +17 36 44.59 24.4w 15VL168 568 C~2lVm 2015 11 17.39294 03 15 07.082 +17 36 44.04 24.9w 15VL168 568 C~2lVm 2015 12 06.35508 03 14 11.578 +17 32 40.66 25.2w 15VL168 568 C~2lVm 2015 12 06.49265 03 14 11.200 +17 32 38.53 25.6w 15VL168 568 C~2lVm 2016 01 01.34294 03 13 10.387 +17 28 07.19 24.6w 15VL168 568 C~2lVm 2016 01 07.40549 03 13 00.043 +17 27 19.16 25.2w 15VL168 568 C~2lVm 2016 01 08.25043 03 12 58.762 +17 27 13.20 24.5w 15VL168 568 C~2lVm 2016 02 05.28189 03 12 37.634 +17 25 18.04 25.0w 15VL168 568 C~2lVm 2016 02 10.30227 03 12 38.598 +17 25 16.30 25.2w 15VL168 568 C~2lVm 2016 09 06.61138 03 20 08.269 +17 48 40.39 25.3w 15VL168 568 C~2lVm 2016 09 26.60062 03 19 39.985 +17 46 14.21 24.8w 15VL168 568 C~2lVm 2016 10 10.40808 03 19 09.948 +17 43 54.36 25.0w 15VL168 568 C~2lVm 2016 10 10.46643 03 19 09.793 +17 43 53.81 24.5w 15VL168 568 C~2lVm 2016 10 27.49100 03 18 24.091 +17 40 29.83 24.6w 15VL168 568 C~2lVm 2016 11 02.52573 03 18 06.354 +17 39 12.04 24.7w 15VL168 568 C~2lVm 2016 11 04.40084 03 18 00.753 +17 38 47.43 25.1w 15VL168 568 C~2lVm 2016 12 24.31334 03 15 40.323 +17 28 36.72 15VL168 568 C~2lVm 2017 01 02.41556 03 15 22.073 +17 27 15.42 24.3w 15VL168 568 C~2lVm 2017 01 26.32908 03 14 53.807 +17 25 00.43 25.2w 15VL168 568 C~2lVm 2017 01 26.34230 03 14 53.791 +17 25 00.30 25.2w 15VL168 568 C~2lVm 2017 12 16.39181 03 18 16.704 +17 29 17.28 24.9w 15VL168 568 C~2lVm
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 -0.01 0.00 0.03 2 0.0133 -79.46 -0.02 -8.76 -0.07 3 0.0819 -753.03 -0.03 -52.18 0.03 4 0.0821 -755.01 0.09 -52.28 0.02 5 0.0875 -824.88 -0.06 -55.61 0.03 6 0.1662 -2012.26 0.07 -102.00 -0.05 7 0.1663 -2014.17 0.08 -102.07 -0.06 8 0.1664 -2016.02 0.16 -102.26 -0.20 9 0.1749 -2155.30 -0.07 -106.64 0.07 10 0.1936 -2465.20 -0.03 -116.83 0.06 11 0.1937 -2467.29 0.02 -116.83 0.12 12 0.2457 -3297.19 -0.08 -143.22 0.22 13 0.2460 -3302.97 -0.08 -143.86 -0.24 14 0.3168 -4213.99 -0.04 -176.04 0.02 15 0.3334 -4369.50 -0.20 -183.20 -0.06 16 0.3357 -4388.76 -0.03 -184.09 0.04 17 0.4125 -4710.98 0.13 -215.03 0.01 18 0.4262 -4698.13 0.16 -220.37 0.04 19 0.9993 1875.29 -0.05 -538.78 0.14 20 1.0540 1447.34 0.05 -576.72 -0.04 21 1.0918 996.70 0.09 -601.81 -0.09 22 1.0920 994.42 -0.03 -601.77 0.03 23 1.1386 310.84 -0.04 -630.82 0.07 24 1.1551 45.84 -0.05 -640.57 0.09 25 1.1602 -37.86 -0.01 -643.66 -0.01 26 1.2969 -2135.92 -0.05 -711.61 -0.13 27 1.3218 -2409.26 -0.12 -721.80 -0.15 28 1.3873 -2835.08 0.12 -746.10 0.05 29 1.3873 -2835.33 -0.02 -746.17 0.00 30 2.2745 35.33 0.04 -1253.39 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.
15VL168 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 88.345 90.516 86.330 ecceobj 0.567 0.581 0.553 incobj 16.099 16.098 16.100 qmin 37.056 36.518 37.287 qmax 142.955 146.779 137.236 amean 88.035 89.825 85.676 amin 86.182 88.154 84.330 amax 90.451 92.128 87.674 emean 0.563 0.578 0.555 emin 0.549 0.564 0.546 emax 0.581 0.594 0.565 imean 18.186 17.817 17.066 imin 16.989 16.889 16.881 imax 19.014 18.713 17.222 excite_mean 0.644 0.654 0.628 fracstop 1.000 1.000 1.000 cjmean 3.026 3.018 3.035 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 163.0 157.2 159.2 kozaiamp 180.0 180.0 180.0