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: 16RJ82 # Created Fri Apr 26 01:17:59 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 4.08y # First observation: 2014/10/28 # Last observation: 2018/11/28 Preliminary a, adot, b, bdot, g, gdot: 0.000019 0.024430 0.000096 -0.010124 0.026995 0.000000 # Chi-squared of fit: 7.77 DOF: 20 RMS: 0.14 # Min/Max residuals: -0.31 0.27 # Exact a, adot, b, bdot, g, gdot: 1.488729E-05 2.421287E-02 -7.350477E-06 -9.964899E-03 2.606197E-02 -3.093555E-03 # Covariance matrix: 4.7607E-13 -3.5643E-13 -3.0145E-14 8.2802E-14 -9.5486E-14 -2.4089E-12 -3.5643E-13 6.5741E-13 -1.6562E-15 -1.9456E-13 -6.4801E-14 6.2213E-12 -3.0145E-14 -1.6562E-15 3.9978E-13 -1.3660E-13 1.4625E-13 -7.2255E-15 8.2802E-14 -1.9456E-13 -1.3660E-13 1.3108E-13 -1.5393E-14 -2.0453E-12 -9.5486E-14 -6.4801E-14 1.4625E-13 -1.5393E-14 5.7879E-13 -6.4056E-13 -2.4089E-12 6.2213E-12 -7.2255E-15 -2.0453E-12 -6.4056E-13 6.5320E-11 # lat0 lon0 xBary yBary zBary JD0 -53.632664 -37.539241 -0.945494 -0.249943 -0.184273 2456958.634358 # Heliocentric elements and errors Epoch: 2456950.5000 = 2014/10/20 Mean Anomaly: 272.97818 +/- 0.068 Argument of Peri: 353.54553 +/- 0.052 Long of Asc Node: 79.76571 +/- 0.001 Inclination: 55.89369 +/- 0.000 Eccentricity: 0.09772081 +/- 0.0003 Semi-Major Axis: 38.39601679 +/- 0.0044 Time of Perihelion: 2477956.9825 +/- 16.0 Perihelion: 34.64392678 +/- 0.0124 Aphelion: 42.14810681 +/- 0.0127 Period (y) 237.9236 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 18.86074856 +/- 0.0005 Ecliptic Y -13.30057031 +/- 0.0004 Ecliptic Z -30.89703588 +/- 0.0009 Ecliptic XDOT 0.00072421 +/- 0.0000 Ecliptic YDOT 0.00264310 +/- 0.0000 Ecliptic ZDOT -0.00035893 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.56500788 +/- 0.0008 Geocenter to KBO 38.37008924 +/- 0.0011 # Hcoef: 7.68
The following table shows the complete astrometric record for 16RJ82. 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 (16RJ82) followed by the observatory code and reference code for the source of the astrometry.
2014 10 28.13358 23 54 33.171 -61 56 43.56 24.3g 16RJ82 W84 C~55Zo 2014 10 28.13496 23 54 33.183 -61 56 43.64 23.6r 16RJ82 W84 C~55Zo 2014 10 28.13631 23 54 33.217 -61 56 43.80 23.1i 16RJ82 W84 C~55Zp 2016 09 01.40493 00 26 37.571 -60 41 20.14 23.0i 16RJ82 W84 C~55Zp 2016 09 08.12116 00 25 38.390 -60 46 01.21 23.8r 16RJ82 W84 C~55Zp 2016 09 08.12253 00 25 38.351 -60 46 01.72 23.2z 16RJ82 W84 C~55Zp 2016 09 09.26666 00 25 27.910 -60 46 43.85 24.0g 16RJ82 W84 C~55Zp 2016 11 06.09204 00 16 36.361 -60 41 49.72 23.1r 16RJ82 W84 C~55Zp 2016 11 06.09343 00 16 36.373 -60 41 49.58 23.5i 16RJ82 W84 C~55Zp 2017 09 24.20726 00 34 11.164 -60 11 13.78 23.9r 16RJ82 W84 C~55Zp 2017 09 24.21002 00 34 11.106 -60 11 13.55 24.3g 16RJ82 W84 C~55Zp 2018 11 28.12418 00 36 04.732 -58 59 11.21 23.5r 16RJ82 W84 C~55Zp 2018 11 28.12555 00 36 04.738 -58 59 11.17 24.2g 16RJ82 W84 C~55Zp
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 -0.04 0.00 0.27
2 0.0000 0.01 -0.01 -0.12 0.06
3 0.0000 0.08 0.08 -0.40 -0.31
4 1.8461 12929.49 -0.16 -6754.17 -0.11
5 1.8644 12430.44 0.19 -6609.66 0.12
6 1.8644 12429.86 -0.28 -6609.78 -0.03
7 1.8676 12347.49 0.14 -6579.66 -0.10
8 2.0259 9944.65 -0.09 -3481.69 0.06
9 2.0259 9944.82 0.08 -3481.66 -0.01
10 2.9078 16493.60 0.04 -8173.04 -0.14
11 2.9078 16493.50 0.11 -8172.56 0.22
12 4.0848 20425.25 -0.03 -6116.70 0.04
13 4.0849 20425.31 -0.02 -6116.71 -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.
16RJ82 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.652 38.665 38.638 ecceobj 0.098 0.098 0.098 incobj 55.938 55.938 55.938 qmin 34.075 34.130 33.977 qmax 43.319 43.254 43.378 amean 38.575 38.576 38.547 amin 38.288 38.292 38.273 amax 38.881 38.884 38.850 emean 0.102 0.100 0.102 emin 0.090 0.089 0.091 emax 0.114 0.113 0.117 imean 54.429 54.435 54.429 imin 54.199 54.205 54.197 imax 54.657 54.659 54.659 excite_mean 0.820 0.820 0.820 fracstop 1.000 1.000 1.000 cjmean 2.090 2.090 2.090 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 115.9 116.0 120.8 kozaiamp 179.9 180.0 180.0