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: 16RA82 # Created Wed Dec 25 02:10:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 8.92y # First observation: 2013/12/28 # Last observation: 2022/11/28 # Chi-squared of fit: 13.59 DOF: 46 RMS: 0.13 # Min/Max residuals: -0.39 0.37 # Exact a, adot, b, bdot, g, gdot: 1.458277E-05 2.171449E-02 -9.419500E-07 -5.736645E-04 2.305245E-02 1.372944E-03 # Covariance matrix: 5.3637E-13 -2.5759E-13 -1.3571E-14 7.5511E-15 -5.9750E-14 -9.9401E-13 -2.5759E-13 1.7014E-13 5.6729E-15 -5.7762E-15 -2.6709E-14 7.0860E-13 -1.3571E-14 5.6729E-15 1.6484E-13 -3.4394E-14 8.2789E-15 2.5293E-14 7.5511E-15 -5.7762E-15 -3.4394E-14 1.1031E-14 1.8656E-15 -2.5684E-14 -5.9750E-14 -2.6709E-14 8.2789E-15 1.8656E-15 1.6413E-13 -1.1770E-13 -9.9401E-13 7.0860E-13 2.5293E-14 -2.5684E-14 -1.1770E-13 3.1515E-12 # lat0 lon0 xBary yBary zBary JD0 -12.407450 27.805892 -0.912660 -0.077187 -0.351576 2456654.613468 # Heliocentric elements and errors Epoch: 2456654.5000 = 2013/12/28 Mean Anomaly: 93.65474 +/- 0.066 Argument of Peri: 161.15298 +/- 0.054 Long of Asc Node: 125.05349 +/- 0.001 Inclination: 12.36958 +/- 0.000 Eccentricity: 0.08231439 +/- 0.0001 Semi-Major Axis: 43.22578397 +/- 0.0038 Time of Perihelion: 2429649.7586 +/- 19.3 Perihelion: 39.66767985 +/- 0.0047 Aphelion: 46.78388809 +/- 0.0052 Period (y) 284.1990 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.36567111 +/- 0.0007 Ecliptic Y 20.74090226 +/- 0.0004 Ecliptic Z -9.32068735 +/- 0.0002 Ecliptic XDOT -0.00108118 +/- 0.0000 Ecliptic YDOT 0.00234634 +/- 0.0000 Ecliptic ZDOT -0.00010144 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.74070204 +/- 0.0006 Geocenter to KBO 43.37933598 +/- 0.0008 # Hcoef: 7.35
The following table shows the complete astrometric record for 16RA82. 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 (16RA82) followed by the observatory code and reference code for the source of the astrometry.
2013 12 28.11269 02 00 55.958 -00 54 42.21 24.0r 16RA82 W84 C~52Zj 2013 12 28.11407 02 00 55.946 -00 54 42.19 23.4i 16RA82 W84 C~52Zj 2014 12 16.13070 02 06 03.400 -00 31 20.30 23.0i 16RA82 W84 C~52Zj 2014 12 16.13344 02 06 03.397 -00 31 20.23 23.2r 16RA82 W84 C~52Zj 2015 12 05.07384 02 11 19.287 -00 06 30.97 23.3i 16RA82 W84 C~52Zj 2016 09 10.30493 02 21 35.921 +00 48 35.58 23.5i 16RA82 W84 C~52Zj 2016 09 10.30630 02 21 35.918 +00 48 35.60 23.9r 16RA82 W84 C~52Zj 2016 09 27.48766 02 20 42.03 +00 40 38.2 24.6g 16RA82 568 C~2eAI 2016 09 28.49696 02 20 38.35 +00 40 09.9 24.3g 16RA82 568 C~2eAI 2016 09 28.54500 02 20 38.17 +00 40 08.5 24.5g 16RA82 568 C~2eAI 2016 09 28.62993 02 20 37.85 +00 40 06.1 24.3g 16RA82 568 C~2eAI 2016 09 29.50890 02 20 34.60 +00 39 41.5 24.5g 16RA82 568 C~2eAI 2016 09 29.55620 02 20 34.42 +00 39 40.1 24.5g 16RA82 568 C~2eAI 2016 10 27.17613 02 18 38.790 +00 27 36.61 24.1r 16RA82 W84 C~52Zj 2016 10 27.17750 02 18 38.787 +00 27 36.56 23.3i 16RA82 W84 C~52Zj 2016 10 27.17887 02 18 38.771 +00 27 36.61 24.2g 16RA82 W84 C~52Zj 2016 12 07.08667 02 15 51.424 +00 17 36.27 23.2i 16RA82 W84 C~52Zj 2016 12 23.05251 02 15 07.346 +00 17 35.56 24.0r 16RA82 W84 C~52Zj 2016 12 23.25973 02 15 06.88 +00 17 36.4 23.9z 16RA82 T09 C~7bNw 2016 12 23.26241 02 15 06.88 +00 17 36.5 23.5z 16RA82 T09 C~7bNw 2016 12 23.28165 02 15 06.84 +00 17 36.5 23.4z 16RA82 T09 C~7bNw 2016 12 23.34766 02 15 06.69 +00 17 36.8 23.4z 16RA82 T09 C~7bNw 2016 12 23.38010 02 15 06.61 +00 17 37.0 23.4z 16RA82 T09 C~7bNw 2022 11 28.271890 02 44 19.917 +02 43 13.74 24.0G 16RA82 G37 C~67Cc 2022 11 28.321410 02 44 19.704 +02 43 13.51 16RA82 G37 C~67Cc 2022 11 28.370840 02 44 19.489 +02 43 12.22 16RA82 G37 C~67Cc
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 0.13
2 0.0000 0.00 -0.13 0.00 0.14
3 0.9665 0.00 0.01 0.00 -0.02
4 0.9665 0.00 0.07 0.00 0.05
5 1.9356 0.00 0.02 0.00 -0.39
6 2.7028 0.00 0.06 0.00 -0.19
7 2.7028 0.00 0.07 0.00 -0.13
8 2.7498 0.00 -0.02 0.00 -0.01
9 2.7526 0.00 0.03 0.00 0.04
10 2.7527 0.00 0.03 0.00 -0.01
11 2.7530 0.00 0.01 0.00 -0.02
12 2.7554 0.00 -0.08 0.00 0.04
13 2.7555 0.00 -0.08 0.00 -0.03
14 2.8311 0.00 0.09 0.00 -0.02
15 2.8311 0.00 0.14 0.00 -0.04
16 2.8311 0.00 -0.01 0.00 0.04
17 2.9431 0.00 0.11 0.00 0.36
18 2.9868 0.00 0.10 0.00 -0.06
19 2.9874 0.00 -0.13 0.00 0.00
20 2.9874 0.00 -0.04 0.00 0.09
21 2.9875 0.00 0.01 0.00 0.00
22 2.9876 0.00 -0.01 0.00 -0.01
23 2.9877 0.00 -0.12 0.00 0.04
24 8.9176 0.00 0.11 0.00 0.05
25 8.9178 0.00 0.00 0.00 0.37
26 8.9179 0.00 -0.16 0.00 -0.38
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.
16RA82 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.499 43.499 43.499 ecceobj 0.085 0.085 0.085 incobj 12.365 12.365 12.365 qmin 38.893 38.893 38.893 qmax 47.784 47.788 47.779 amean 43.214 43.214 43.214 amin 42.870 42.880 42.874 amax 43.575 43.568 43.580 emean 0.080 0.080 0.080 emin 0.066 0.067 0.066 emax 0.097 0.097 0.097 imean 10.861 10.861 10.861 imin 10.188 10.187 10.189 imax 11.567 11.569 11.568 excite_mean 0.205 0.205 0.205 fracstop 1.000 1.000 1.000 cjmean 3.042 3.042 3.042 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 181.6 181.5 181.7 kozaiamp 180.0 179.9 179.9