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: 15VQ167 # Created Tue Apr 1 01:10:39 2025 # Orbit generated from Bernstein formalism # Fitting 26 observations of 26 # Arc: 2.27y # First observation: 2015/09/07 # Last observation: 2017/12/16 Preliminary a, adot, b, bdot, g, gdot: -0.000021 0.018303 0.000043 -0.009985 0.020776 0.000000 # Chi-squared of fit: 6.08 DOF: 46 RMS: 0.09 # Min/Max residuals: -0.20 0.18 # Exact a, adot, b, bdot, g, gdot: 1.444425E-05 1.798700E-02 -7.511720E-06 -9.738833E-03 2.058226E-02 -8.342744E-03 # Covariance matrix: 2.3294E-13 1.9157E-14 1.8130E-14 -7.8842E-14 1.8780E-13 3.6230E-12 1.9157E-14 3.2411E-13 4.7585E-14 -2.1679E-13 2.1577E-13 9.9358E-12 1.8130E-14 4.7585E-14 1.1679E-13 -1.1190E-13 4.4213E-14 2.0098E-12 -7.8842E-14 -2.1679E-13 -1.1190E-13 2.8874E-13 -1.9710E-13 -9.1589E-12 1.8780E-13 2.1577E-13 4.4213E-14 -1.9710E-13 3.2229E-13 9.0442E-12 3.6230E-12 9.9358E-12 2.0098E-12 -9.1589E-12 9.0442E-12 4.1975E-10 # lat0 lon0 xBary yBary zBary JD0 -1.229224 51.910656 0.933062 -0.008204 -0.389292 2457273.133899 # Heliocentric elements and errors Epoch: 2457270.5000 = 2015/09/05 Mean Anomaly: 340.72538 +/- 0.053 Argument of Peri: 250.85737 +/- 0.050 Long of Asc Node: 228.59576 +/- 0.000 Inclination: 28.72142 +/- 0.001 Eccentricity: 0.55845673 +/- 0.0011 Semi-Major Axis: 85.86605143 +/- 0.1563 Time of Perihelion: 2472830.6553 +/- 2.7 Perihelion: 37.91357738 +/- 0.1187 Aphelion: 133.81852549 +/- 0.2620 Period (y) 795.6837 +/- 2.17 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.93544763 +/- 0.0008 Ecliptic Y 37.96109085 +/- 0.0010 Ecliptic Z -1.04263234 +/- 0.0000 Ecliptic XDOT -0.00258657 +/- 0.0000 Ecliptic YDOT 0.00057447 +/- 0.0000 Ecliptic ZDOT -0.00127130 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 48.98094957 +/- 0.0010 Geocenter to KBO 48.58553496 +/- 0.0013 # Hcoef: 8.37
The following table shows the complete astrometric record for 15VQ167. 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 (15VQ167) followed by the observatory code and reference code for the source of the astrometry.
2015 09 07.63311 03 19 18.025 +17 03 23.75 25.4w 15VQ167 568 C~2lVj 2015 09 12.49674 03 19 11.628 +17 02 24.54 25.6w 15VQ167 568 C~2lVj 2015 10 07.54436 03 18 12.043 +16 55 41.89 25.5w 15VQ167 568 C~2lVj 2015 10 07.60373 03 18 11.848 +16 55 40.85 25.7w 15VQ167 568 C~2lVj 2015 10 09.58362 03 18 05.475 +16 55 03.09 25.5w 15VQ167 568 C~2lVj 2015 11 07.33788 03 16 15.230 +16 44 54.38 25.1r 15VQ167 568 C~2lVj 2015 11 07.38006 03 16 15.049 +16 44 53.21 25.1r 15VQ167 568 C~2lVj 2015 11 07.42224 03 16 14.875 +16 44 52.39 25.6r 15VQ167 568 C~2lVj 2015 11 10.50536 03 16 01.851 +16 43 43.84 25.4w 15VQ167 568 C~2lVj 2015 11 17.35218 03 15 32.848 +16 41 11.39 25.2w 15VQ167 568 C~2lVj 2015 11 17.39878 03 15 32.637 +16 41 10.24 25.4w 15VQ167 568 C~2lVj 2015 12 06.36096 03 14 15.152 +16 34 25.95 25.8w 15VQ167 568 C~2lVj 2016 01 01.34872 03 12 51.100 +16 26 53.65 25.2w 15VQ167 568 C~2lVj 2016 01 08.25624 03 12 35.636 +16 25 23.10 25.0w 15VQ167 568 C~2lVj 2016 02 05.28768 03 12 11.376 +16 21 56.77 25.2w 15VQ167 568 C~2lVj 2016 02 10.30807 03 12 14.010 +16 21 48.37 26.2w 15VQ167 568 C~2lVj 2016 09 07.56206 03 24 04.928 +16 46 24.02 15VQ167 568 C~2lVj 2016 10 10.43747 03 22 49.855 +16 37 32.30 25.6w 15VQ167 568 C~2lVj 2016 11 02.51995 03 21 22.118 +16 29 24.77 25.0w 15VQ167 568 C~2lVj 2017 01 02.43457 03 17 32.602 +16 09 42.81 25.1w 15VQ167 568 C~2lVj 2017 01 26.34976 03 16 55.676 +16 05 57.18 25.7w 15VQ167 568 C~2lVj 2017 09 16.63393 03 28 44.413 +16 26 48.72 25.4w 15VQ167 568 C~2lVj 2017 09 17.59434 03 28 42.756 +16 26 34.65 15VQ167 568 C~2lVj 2017 09 23.57295 03 28 30.855 +16 25 00.26 25.9w 15VQ167 568 C~2lVj 2017 12 16.35926 03 23 16.213 +15 56 38.07 25.3w 15VQ167 568 C~2lVj 2017 12 16.37785 03 23 16.159 +15 56 37.72 25.3w 15VQ167 568 C~2lVj
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 -0.13 0.00 0.01
2 0.0133 -103.87 0.06 -33.67 -0.02
3 0.0819 -1033.51 0.05 -202.72 -0.11
4 0.0821 -1036.48 0.03 -203.00 -0.02
5 0.0875 -1134.59 0.01 -215.87 0.04
6 0.1662 -2821.27 -0.02 -393.38 0.06
7 0.1663 -2824.09 -0.09 -393.83 -0.16
8 0.1664 -2826.72 0.02 -393.98 -0.08
9 0.1749 -3025.24 -0.05 -411.42 0.15
10 0.1936 -3467.37 0.04 -449.86 0.03
11 0.1937 -3470.60 -0.13 -450.17 -0.05
12 0.2457 -4651.75 -0.07 -548.55 0.04
13 0.3168 -5937.89 0.12 -666.22 -0.01
14 0.3357 -6176.61 -0.08 -694.68 -0.11
15 0.4125 -6568.30 0.04 -801.17 0.02
16 0.4262 -6533.94 0.10 -819.34 0.11
17 1.0019 3724.40 0.10 -2031.34 0.03
18 1.0919 2546.40 0.03 -2274.57 0.04
19 1.1551 1202.38 0.16 -2426.68 0.03
20 1.3218 -2294.55 0.01 -2721.81 0.18
21 1.3873 -2867.08 -0.10 -2801.91 -0.01
22 2.0260 7328.34 -0.11 -4168.20 -0.04
23 2.0286 7301.74 0.01 -4176.00 0.15
24 2.0450 7112.34 0.01 -4225.48 -0.20
25 2.2744 2295.02 -0.10 -4746.08 0.00
26 2.2745 2294.18 0.09 -4746.22 -0.07
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.
15VQ167 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 86.763 87.198 86.336 ecceobj 0.559 0.563 0.556 incobj 28.592 28.592 28.592 qmin 37.094 36.934 37.044 qmax 137.372 138.335 136.424 amean 85.676 86.149 85.087 amin 84.364 84.813 83.804 amax 87.650 88.135 87.129 emean 0.557 0.554 0.546 emin 0.548 0.539 0.532 emax 0.567 0.571 0.566 imean 29.479 30.002 30.050 imin 29.148 29.266 29.211 imax 29.740 30.760 30.732 excite_mean 0.743 0.746 0.741 fracstop 1.000 1.000 1.000 cjmean 2.791 2.789 2.793 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 277.7 218.9 212.5 kozaiamp 180.0 180.0 180.0