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: 15VZ167 # Created Fri Nov 22 02:10:33 2024 # Orbit generated from Bernstein formalism # Fitting 22 observations of 22 # Arc: 2.09y # First observation: 2014/11/23 # Last observation: 2016/12/24 Preliminary a, adot, b, bdot, g, gdot: 0.001459 0.098110 0.000328 0.026934 0.059024 0.000000 # Chi-squared of fit: 2.70 DOF: 38 RMS: 0.06 # Min/Max residuals: -0.16 0.15 # Exact a, adot, b, bdot, g, gdot: 2.708745E-05 1.035469E-01 7.488659E-06 2.837519E-02 6.043460E-02 2.575026E-02 # Covariance matrix: 1.3954E-12 -2.0217E-12 2.1812E-13 -4.3815E-13 -5.5245E-13 -6.5457E-12 -2.0217E-12 3.4001E-12 -4.0297E-13 8.0939E-13 9.7693E-13 1.2093E-11 2.1812E-13 -4.0297E-13 5.2840E-13 -4.3007E-13 -1.2891E-13 -1.5546E-12 -4.3815E-13 8.0939E-13 -4.3007E-13 4.7155E-13 2.5936E-13 3.1226E-12 -5.5245E-13 9.7693E-13 -1.2891E-13 2.5936E-13 5.6162E-13 3.8681E-12 -6.5457E-12 1.2093E-11 -1.5546E-12 3.1226E-12 3.8681E-12 4.6653E-11 # lat0 lon0 xBary yBary zBary JD0 -1.164633 46.871596 -0.235312 -0.019338 -0.959360 2456984.910848 # Heliocentric elements and errors Epoch: 2456980.5000 = 2014/11/19 Mean Anomaly: 11.83429 +/- 0.002 Argument of Peri: 313.85514 +/- 0.007 Long of Asc Node: 51.64705 +/- 0.000 Inclination: 15.41471 +/- 0.000 Eccentricity: 0.52511990 +/- 0.0001 Semi-Major Axis: 33.60504764 +/- 0.0040 Time of Perihelion: 2454641.4209 +/- 0.2 Perihelion: 15.95836845 +/- 0.0030 Aphelion: 51.25172683 +/- 0.0065 Period (y) 194.8117 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 11.79089701 +/- 0.0001 Ecliptic Y 12.93629165 +/- 0.0002 Ecliptic Z -0.33622622 +/- 0.0000 Ecliptic XDOT -0.00261260 +/- 0.0000 Ecliptic YDOT 0.00407217 +/- 0.0000 Ecliptic ZDOT 0.00126160 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 17.50673990 +/- 0.0001 Geocenter to KBO 16.54681247 +/- 0.0002 # Hcoef: 11.32
The following table shows the complete astrometric record for 15VZ167. 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 (15VZ167) followed by the observatory code and reference code for the source of the astrometry.
2014 11 23.41007 02 58 59.907 +15 45 33.99 23.7r 15VZ167 568 C~2lVl 2015 08 20.54049 03 30 22.744 +19 01 10.70 24.2w 15VZ167 568 C~2lVl 2015 10 07.55020 03 28 17.666 +19 06 21.69 24.0w 15VZ167 568 C~2lVl 2015 10 09.53094 03 28 02.615 +19 05 59.83 24.1w 15VZ167 568 C~2lVl 2015 11 06.30734 03 23 38.588 +18 57 29.81 23.8r 15VZ167 568 C~2lVl 2015 11 06.37060 03 23 37.890 +18 57 28.28 23.7r 15VZ167 568 C~2lVl 2015 11 06.44142 03 23 37.108 +18 57 26.51 23.6r 15VZ167 568 C~2lVl 2015 11 07.46098 03 23 26.162 +18 57 02.67 24.1w 15VZ167 568 C~2lVl 2015 11 17.44217 03 21 37.663 +18 52 59.27 23.9w 15VZ167 568 C~2lVl 2015 12 06.33173 03 18 19.470 +18 45 25.08 24.0w 15VZ167 568 C~2lVl 2015 12 06.46917 03 18 18.102 +18 45 22.00 24.1w 15VZ167 568 C~2lVl 2015 12 31.35296 03 14 56.655 +18 38 29.57 24.2w 15VZ167 568 C~2lVl 2016 01 07.38230 03 14 19.233 +18 37 40.76 24.2w 15VZ167 568 C~2lVl 2016 02 04.34615 03 13 37.827 +18 41 00.78 24.3w 15VZ167 568 C~2lVl 2016 02 11.23523 03 13 55.363 +18 43 33.41 24.3w 15VZ167 568 C~2lVl 2016 09 25.63346 03 50 03.135 +21 46 19.14 24.1w 15VZ167 568 C~2lVl 2016 10 10.57303 03 48 34.829 +21 46 31.22 24.4w 15VZ167 568 C~2lVl 2016 10 10.62140 03 48 34.463 +21 46 30.93 24.3w 15VZ167 568 C~2lVl 2016 10 28.44145 03 46 00.878 +21 43 52.77 24.4w 15VZ167 568 C~2lVl 2016 10 29.51500 03 45 50.319 +21 43 38.02 24.2w 15VZ167 568 C~2lVl 2016 11 02.56800 03 45 09.530 +21 42 37.79 24.0w 15VZ167 568 C~2lVl 2016 12 24.36840 03 36 22.131 +21 25 38.60 15VZ167 568 C~2lVl
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 0.00 0.00 -0.01
2 0.7396 29284.04 -0.05 4250.06 -0.06
3 0.8710 27609.91 -0.02 4989.59 0.01
4 0.8764 27393.96 0.03 5020.77 -0.00
5 0.9525 23582.87 0.15 5455.79 0.03
6 0.9527 23572.77 -0.01 5456.80 -0.02
7 0.9529 23561.44 -0.16 5457.87 -0.12
8 0.9556 23403.10 -0.03 5473.77 0.00
9 0.9830 21833.04 -0.00 5626.60 0.01
10 1.0347 18968.18 0.00 5906.56 0.01
11 1.0351 18948.44 0.11 5908.59 -0.02
12 1.1032 16056.14 -0.04 6254.31 0.07
13 1.1224 15526.92 0.05 6346.93 0.07
14 1.1990 15009.45 -0.07 6695.88 0.13
15 1.2179 15291.83 0.04 6777.91 -0.01
16 1.8404 48397.33 0.05 10284.47 0.04
17 1.8813 47134.09 0.02 10560.13 0.00
18 1.8815 47128.78 -0.05 10560.93 -0.07
19 1.9303 44898.93 -0.01 10866.07 0.06
20 1.9332 44745.10 -0.04 10883.45 0.02
21 1.9443 44150.55 0.10 10947.69 -0.12
22 2.0861 36463.04 -0.07 11591.92 -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.
15VZ167 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 33.852 33.894 33.811 ecceobj 0.529 0.530 0.529 incobj 15.412 15.412 15.412 qmin 15.361 15.372 15.317 qmax 53.318 53.373 51.826 amean 33.903 33.931 33.218 amin 33.188 33.392 31.733 amax 34.743 34.511 33.811 emean 0.536 0.534 0.526 emin 0.523 0.515 0.484 emax 0.549 0.549 0.541 imean 13.717 13.739 13.807 imin 12.886 12.730 12.656 imax 15.748 15.985 16.691 excite_mean 0.587 0.585 0.578 fracstop 0.022 0.026 0.026 cjmean 2.624 2.626 2.636 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 177.6 166.8 173.2 kozaiamp 179.5 179.6 179.3