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: 15VR164 # Created Sat Apr 27 01:17:40 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 6.21y # First observation: 2015/08/20 # Last observation: 2021/11/05 # Chi-squared of fit: 3.08 DOF: 56 RMS: 0.06 # Min/Max residuals: -0.31 0.14 # Exact a, adot, b, bdot, g, gdot: 1.968705E-05 3.969530E-02 3.825300E-07 8.006052E-04 3.212541E-02 6.865502E-04 # Covariance matrix: 2.8486E-13 -1.9497E-13 3.6609E-15 -3.2268E-15 1.4195E-13 -7.0778E-13 -1.9497E-13 2.9453E-13 -3.2868E-15 5.4001E-15 -3.7737E-14 1.1742E-12 3.6609E-15 -3.2868E-15 6.5276E-14 -1.6984E-14 2.1843E-15 -1.3207E-14 -3.2268E-15 5.4001E-15 -1.6984E-14 1.4352E-14 -5.0169E-16 2.2696E-14 1.4195E-13 -3.7737E-14 2.1843E-15 -5.0169E-16 1.3572E-13 -1.1588E-13 -7.0778E-13 1.1742E-12 -1.3207E-14 2.2696E-14 -1.1588E-13 4.9328E-12 # lat0 lon0 xBary yBary zBary JD0 -1.224526 54.410963 1.013446 -0.000901 -0.048332 2457255.056669 # Heliocentric elements and errors Epoch: 2457254.5000 = 2015/08/20 Mean Anomaly: 356.33295 +/- 0.013 Argument of Peri: 318.06511 +/- 0.020 Long of Asc Node: 100.16607 +/- 0.004 Inclination: 1.65431 +/- 0.000 Eccentricity: 0.20625963 +/- 0.0001 Semi-Major Axis: 39.26215516 +/- 0.0033 Time of Perihelion: 2458169.8217 +/- 11.6 Perihelion: 31.16395756 +/- 0.0034 Aphelion: 47.36035276 +/- 0.0045 Period (y) 246.0194 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 18.95959061 +/- 0.0002 Ecliptic Y 24.75725061 +/- 0.0003 Ecliptic Z -0.66518216 +/- 0.0000 Ecliptic XDOT -0.00271819 +/- 0.0000 Ecliptic YDOT 0.00201117 +/- 0.0000 Ecliptic ZDOT 0.00006702 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.19023311 +/- 0.0003 Geocenter to KBO 31.12802071 +/- 0.0004 # Hcoef: 8.01
The following table shows the complete astrometric record for 15VR164. 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 (15VR164) followed by the observatory code and reference code for the source of the astrometry.
2015 08 20.55588 03 29 26.404 +17 41 08.76 23.2w 15VR164 568 C~2lVY 2015 09 07.60452 03 29 25.611 +17 40 30.39 23.1w 15VR164 568 C~2lVY 2015 10 07.50351 03 27 57.309 +17 34 25.11 23.1w 15VR164 568 C~2lVY 2015 10 07.56195 03 27 57.039 +17 34 24.12 23.1w 15VR164 568 C~2lVY 2015 10 09.54258 03 27 47.859 +17 33 48.63 23.2w 15VR164 568 C~2lVY 2015 11 06.31779 03 25 10.013 +17 23 57.25 22.9r 15VR164 568 C~2lVY 2015 11 06.38117 03 25 09.605 +17 23 55.82 22.9r 15VR164 568 C~2lVY 2015 11 06.46851 03 25 09.040 +17 23 53.70 23.0r 15VR164 568 C~2lVY 2015 11 07.47269 03 25 02.636 +17 23 30.34 23.1w 15VR164 568 C~2lVY 2015 11 17.45383 03 23 58.230 +17 19 35.90 23.0w 15VR164 568 C~2lVY 2015 11 17.54213 03 23 57.650 +17 19 33.77 23.0w 15VR164 568 C~2lVY 2015 12 06.32006 03 21 59.658 +17 12 33.20 23.0w 15VR164 568 C~2lVY 2015 12 06.45375 03 21 58.846 +17 12 30.37 23.2w 15VR164 568 C~2lVY 2015 12 31.34139 03 19 53.386 +17 05 25.65 15VR164 568 C~2lVY 2016 01 07.37071 03 19 28.448 +17 04 08.33 22.8w 15VR164 568 C~2lVY 2016 01 08.23304 03 19 25.789 +17 04 00.28 23.4w 15VR164 568 C~2lVY 2016 02 05.31732 03 18 49.590 +17 03 01.83 23.4w 15VR164 568 C~2lVY 2016 02 05.32390 03 18 49.608 +17 03 01.82 23.3w 15VR164 568 C~2lVY 2016 02 11.27002 03 18 55.333 +17 03 41.19 23.3w 15VR164 568 C~2lVY 2016 09 25.62123 03 38 06.091 +18 13 05.62 23.5w 15VR164 568 C~2lVY 2016 10 10.56080 03 37 06.572 +18 09 24.60 23.1w 15VR164 568 C~2lVY 2016 10 10.60927 03 37 06.335 +18 09 23.77 23.2w 15VR164 568 C~2lVY 2016 10 28.47058 03 35 29.638 +18 03 39.84 23.1w 15VR164 568 C~2lVY 2016 10 28.49380 03 35 29.498 +18 03 39.35 23.1w 15VR164 568 C~2lVY 2016 10 29.53251 03 35 23.228 +18 03 17.41 23.1w 15VR164 568 C~2lVY 2016 11 02.58549 03 34 58.305 +18 01 50.53 23.3w 15VR164 568 C~2lVY 2017 09 15.62735 03 47 57.408 +18 48 35.27 23.0w 15VR164 568 C~2lVY 2017 09 22.60498 03 47 42.440 +18 47 37.17 15VR164 568 C~2lVY 2021 11 05.400750 04 23 00.495 +20 36 54.82 23.2G 15VR164 G37 C~5Baf 2021 11 05.442220 04 23 00.240 +20 36 54.24 15VR164 G37 C~5Baf 2021 11 05.483900 04 22 59.990 +20 36 53.64 15VR164 G37 C~5Baf
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 -0.03 0.00 -0.01
2 0.0494 0.00 -0.02 0.00 0.01
3 0.1313 0.00 -0.01 0.00 -0.01
4 0.1314 0.00 0.03 0.00 0.03
5 0.1369 0.00 0.02 0.00 0.00
6 0.2129 0.00 0.04 0.00 -0.02
7 0.2131 0.00 0.05 0.00 0.01
8 0.2133 0.00 0.06 0.00 -0.08
9 0.2161 0.00 -0.03 0.00 0.01
10 0.2434 0.00 0.04 0.00 -0.01
11 0.2436 0.00 0.05 0.00 -0.05
12 0.2950 0.00 0.04 0.00 0.01
13 0.2954 0.00 0.00 0.00 -0.03
14 0.3635 0.00 -0.31 0.00 -0.00
15 0.3828 0.00 -0.02 0.00 0.05
16 0.3852 0.00 0.04 0.00 -0.05
17 0.4620 0.00 -0.09 0.00 0.09
18 0.4621 0.00 0.14 0.00 0.04
19 0.4783 0.00 0.07 0.00 0.03
20 1.1008 0.00 -0.02 0.00 -0.00
21 1.1417 0.00 -0.00 0.00 0.01
22 1.1418 0.00 -0.04 0.00 0.02
23 1.1907 0.00 0.02 0.00 0.01
24 1.1908 0.00 0.05 0.00 0.01
25 1.1936 0.00 0.01 0.00 -0.01
26 1.2047 0.00 0.06 0.00 0.02
27 2.0727 0.00 0.03 0.00 -0.02
28 2.0919 0.00 -0.03 0.00 -0.02
29 6.2118 0.00 0.01 0.00 -0.01
30 6.2119 0.00 -0.03 0.00 0.00
31 6.2120 0.00 0.02 0.00 0.01
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.
15VR164 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.676 39.676 39.676 ecceobj 0.213 0.213 0.213 incobj 1.655 1.655 1.655 qmin 30.732 30.731 30.728 qmax 48.844 48.865 48.821 amean 39.456 39.456 39.456 amin 39.015 39.012 39.013 amax 39.985 39.994 39.976 emean 0.205 0.205 0.205 emin 0.189 0.189 0.189 emax 0.222 0.222 0.221 imean 0.291 0.291 0.291 imin 0.107 0.107 0.107 imax 0.457 0.458 0.457 excite_mean 0.205 0.205 0.205 fracstop 1.000 1.000 1.000 cjmean 3.004 3.004 3.004 libcent 0 179.3 179.5 179.6 libamp 0 86.3 86.5 86.4 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 178.5 178.5 178.6 kozaiamp 180.0 180.0 180.0