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: 15VL167 # Created Thu Apr 25 01:17:41 2024 # Orbit generated from Bernstein formalism # Fitting 20 observations of 20 # Arc: 1.46y # First observation: 2015/08/11 # Last observation: 2017/01/26 Preliminary a, adot, b, bdot, g, gdot: -0.000086 0.038735 0.000010 0.007214 0.032752 0.000000 # Chi-squared of fit: 4.08 DOF: 34 RMS: 0.08 # Min/Max residuals: -0.30 0.15 # Exact a, adot, b, bdot, g, gdot: 1.873963E-05 3.765667E-02 3.228333E-06 7.056243E-03 3.192596E-02 -2.141383E-04 # Covariance matrix: 4.1337E-13 5.7211E-13 -3.0623E-14 2.2770E-13 7.5707E-13 2.1864E-11 5.7211E-13 2.3570E-12 -9.8385E-14 7.2564E-13 2.2332E-12 6.9593E-11 -3.0623E-14 -9.8385E-14 1.7247E-13 -1.8102E-13 -9.8779E-14 -3.5909E-12 2.2770E-13 7.2564E-13 -1.8102E-13 4.8461E-13 7.3159E-13 2.6150E-11 7.5707E-13 2.2332E-12 -9.8779E-14 7.3159E-13 2.3447E-12 7.0208E-11 2.1864E-11 6.9593E-11 -3.5909E-12 2.6150E-11 7.0208E-11 2.5031E-09 # lat0 lon0 xBary yBary zBary JD0 -0.404812 49.509915 1.015744 0.000244 0.016889 2457246.106449 # Heliocentric elements and errors Epoch: 2457240.5000 = 2015/08/06 Mean Anomaly: 346.77353 +/- 0.408 Argument of Peri: 15.64127 +/- 0.560 Long of Asc Node: 49.81431 +/- 0.000 Inclination: 10.62417 +/- 0.001 Eccentricity: 0.14607230 +/- 0.0004 Semi-Major Axis: 36.45210711 +/- 0.0059 Time of Perihelion: 2460193.9104 +/- 91.2 Perihelion: 31.12746393 +/- 0.0164 Aphelion: 41.77675030 +/- 0.0170 Period (y) 220.0859 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 21.09525002 +/- 0.0010 Ecliptic Y 23.14825977 +/- 0.0011 Ecliptic Z -0.22116996 +/- 0.0000 Ecliptic XDOT -0.00246714 +/- 0.0000 Ecliptic YDOT 0.00207977 +/- 0.0000 Ecliptic ZDOT 0.00060529 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.31932982 +/- 0.0011 Geocenter to KBO 31.32247701 +/- 0.0015 # Hcoef: 9.59
The following table shows the complete astrometric record for 15VL167. 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 (15VL167) followed by the observatory code and reference code for the source of the astrometry.
2015 08 11.60566 03 08 41.881 +17 13 08.88 25.0w 15VL167 568 C~2lVi 2015 09 06.63576 03 08 36.479 +17 14 15.45 24.6w 15VL167 568 C~2lVi 2015 09 12.52541 03 08 23.620 +17 13 44.36 24.9w 15VL167 568 C~2lVi 2015 10 07.46582 03 06 47.202 +17 08 45.93 24.5w 15VL167 568 C~2lVi 2015 10 08.47003 03 06 42.082 +17 08 29.04 24.7w 15VL167 568 C~2lVi 2015 10 08.52822 03 06 41.781 +17 08 28.13 24.7w 15VL167 568 C~2lVi 2015 11 06.28626 03 03 49.937 +16 58 40.13 24.9r 15VL167 568 C~2lVi 2015 11 06.34963 03 03 49.536 +16 58 38.84 24.5r 15VL167 568 C~2lVi 2015 11 06.42017 03 03 49.076 +16 58 36.95 24.5r 15VL167 568 C~2lVi 2015 11 06.48956 03 03 48.617 +16 58 35.76 24.3r 15VL167 568 C~2lVi 2015 11 07.50772 03 03 41.980 +16 58 12.66 24.4w 15VL167 568 C~2lVi 2016 09 06.61138 03 16 59.148 +18 12 45.01 24.9w 15VL167 568 C~2lVi 2016 10 27.50259 03 13 18.998 +18 02 12.14 24.8w 15VL167 568 C~2lVi 2016 11 02.60863 03 12 40.061 +18 00 06.16 24.8w 15VL167 568 C~2lVi 2016 11 03.52763 03 12 34.111 +17 59 46.72 24.6w 15VL167 568 C~2lVi 2016 12 28.38756 03 07 14.393 +17 42 21.68 24.9w 15VL167 568 C~2lVi 2016 12 29.35312 03 07 10.617 +17 42 10.13 24.7w 15VL167 568 C~2lVi 2017 01 01.25010 03 06 59.916 +17 41 38.37 25.2w 15VL167 568 C~2lVi 2017 01 02.36014 03 06 56.040 +17 41 27.06 25.0w 15VL167 568 C~2lVi 2017 01 26.27742 03 06 09.360 +17 39 50.45 24.2w 15VL167 568 C~2lVi
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 -0.02 0.00 0.05
2 0.0713 -56.51 -0.02 85.02 0.01
3 0.0874 -242.27 0.02 104.95 0.05
4 0.1557 -1653.09 0.05 193.27 -0.03
5 0.1584 -1728.31 -0.05 197.04 0.02
6 0.1586 -1732.71 0.04 197.35 0.08
7 0.2373 -4264.25 -0.22 308.80 -0.03
8 0.2375 -4270.13 0.04 309.15 0.02
9 0.2377 -4277.00 0.04 309.16 -0.30
10 0.2379 -4283.66 0.15 309.83 0.07
11 0.2407 -4381.60 -0.04 313.96 0.05
12 1.0733 7802.91 0.05 1564.93 0.04
13 1.2126 4605.33 -0.03 1776.69 -0.13
14 1.2293 4036.12 -0.00 1802.31 0.04
15 1.2318 3949.09 -0.05 1806.09 -0.01
16 1.3820 -729.34 -0.01 2026.77 0.08
17 1.3847 -784.41 -0.07 2030.35 -0.04
18 1.3926 -940.20 0.11 2041.45 0.02
19 1.3956 -996.58 0.06 2045.67 -0.03
20 1.4611 -1664.81 -0.05 2134.97 0.05
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.
15VL167 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.798 36.817 36.779 ecceobj 0.152 0.152 0.152 incobj 10.592 10.592 10.592 qmin 30.697 30.738 30.667 qmax 42.646 42.627 42.572 amean 36.477 36.477 36.477 amin 36.158 36.147 36.165 amax 36.839 36.836 36.811 emean 0.139 0.138 0.139 emin 0.111 0.111 0.113 emax 0.158 0.158 0.158 imean 8.198 7.902 8.332 imin 6.343 6.023 6.529 imax 10.441 10.425 10.444 excite_mean 0.200 0.196 0.201 fracstop 1.000 1.000 1.000 cjmean 2.983 2.984 2.982 libcent 0 180.3 181.4 179.2 libamp 0 47.2 55.4 37.4 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 177.6 177.3 176.8 kozaiamp 180.0 180.0 180.0