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: 16RT82 # Created Wed Dec 25 02:10:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 5.15y # First observation: 2016/09/11 # Last observation: 2021/11/05 # Chi-squared of fit: 5.12 DOF: 34 RMS: 0.09 # Min/Max residuals: -0.20 0.23 # Exact a, adot, b, bdot, g, gdot: 1.685444E-05 2.852456E-02 6.538292E-06 1.064655E-02 2.735861E-02 -3.904885E-03 # Covariance matrix: 4.2065E-13 -3.1674E-13 9.5332E-14 -1.2181E-13 1.1366E-13 -2.0069E-12 -3.1674E-13 3.9496E-13 -1.2274E-13 1.5637E-13 1.0196E-13 2.5680E-12 9.5332E-14 -1.2274E-13 2.1029E-13 -1.0681E-13 -1.3801E-14 -8.7977E-13 -1.2181E-13 1.5637E-13 -1.0681E-13 9.7884E-14 1.6486E-14 1.1217E-12 1.1366E-13 1.0196E-13 -1.3801E-14 1.6486E-14 5.9042E-13 2.5167E-13 -2.0069E-12 2.5680E-12 -8.7977E-13 1.1217E-12 2.5167E-13 1.8437E-11 # lat0 lon0 xBary yBary zBary JD0 -1.411403 0.753501 0.207271 -0.024156 -0.987784 2457642.732649 # Heliocentric elements and errors Epoch: 2457642.5000 = 2016/09/11 Mean Anomaly: 333.39539 +/- 0.023 Argument of Peri: 38.42469 +/- 0.039 Long of Asc Node: 4.09799 +/- 0.000 Inclination: 20.56891 +/- 0.000 Eccentricity: 0.23141009 +/- 0.0001 Semi-Major Axis: 46.44411269 +/- 0.0067 Time of Perihelion: 2466186.2555 +/- 24.1 Perihelion: 35.69647651 +/- 0.0072 Aphelion: 57.19174887 +/- 0.0096 Period (y) 316.5222 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.52440565 +/- 0.0010 Ecliptic Y 0.28371294 +/- 0.0000 Ecliptic Z -0.90008850 +/- 0.0000 Ecliptic XDOT -0.00040022 +/- 0.0000 Ecliptic YDOT 0.00284257 +/- 0.0000 Ecliptic ZDOT 0.00107470 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.53635647 +/- 0.0010 Geocenter to KBO 36.55168123 +/- 0.0010 # Hcoef: 7.06
The following table shows the complete astrometric record for 16RT82. 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 (16RT82) followed by the observatory code and reference code for the source of the astrometry.
2016 09 11.23186 00 05 00.660 -00 59 42.83 22.2i 16RT82 W84 C~55Zp 2016 09 22.10524 00 04 05.877 -01 04 30.63 21.9r 16RT82 W84 C~55Zp 2016 09 22.10663 00 04 05.864 -01 04 30.49 22.4g 16RT82 W84 C~55Zp 2017 08 18.29814 00 11 50.582 +00 22 21.20 23.4g 16RT82 W84 C~55Zp 2017 09 27.16352 00 08 43.253 +00 06 10.41 22.2z 16RT82 W84 C~55Zp 2017 10 11.20286 00 07 32.604 +00 00 07.64 22.8i 16RT82 W84 C~55Zp 2017 10 17.18782 00 07 03.901 -00 02 16.31 21.8r 16RT82 W84 C~55Zp 2017 10 19.15604 00 06 54.776 -00 03 01.36 23.3g 16RT82 W84 C~55Zp 2017 10 28.15721 00 06 15.332 -00 06 12.63 23.1i 16RT82 W84 C~55Zp 2017 11 08.08519 00 05 33.931 -00 09 20.64 23.8g 16RT82 W84 C~55Zp 2017 11 09.05597 00 05 30.657 -00 09 34.80 22.9r 16RT82 W84 C~55Zp 2017 11 09.05735 00 05 30.658 -00 09 34.92 23.9g 16RT82 W84 C~55Zp 2018 09 10.20572 00 15 14.750 +01 27 04.72 22.8i 16RT82 W84 C~55Zp 2018 09 17.29376 00 14 39.521 +01 24 03.01 22.7i 16RT82 W84 C~55Zp 2018 09 17.29517 00 14 39.511 +01 24 03.00 22.7r 16RT82 W84 C~55Zp 2018 09 17.29655 00 14 39.510 +01 24 02.99 23.3g 16RT82 W84 C~55Zp 2018 10 01.24714 00 13 28.163 +01 17 53.16 21.8z 16RT82 W84 C~55Zp 2021 11 05.120390 00 26 11.332 +04 46 27.81 22.9G 16RT82 G37 C~5Bd5 2021 11 05.170130 00 26 11.126 +04 46 26.52 16RT82 G37 C~5Bd5 2021 11 05.218800 00 26 10.919 +04 46 25.55 16RT82 G37 C~5Bd5
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 -0.10 2 0.0298 0.00 0.12 0.00 -0.02 3 0.0298 0.00 0.03 0.00 0.16 4 0.9338 0.00 -0.13 0.00 -0.03 5 1.0429 0.00 0.15 0.00 -0.12 6 1.0814 0.00 0.12 0.00 -0.09 7 1.0978 0.00 -0.20 0.00 -0.02 8 1.1031 0.00 -0.01 0.00 0.23 9 1.1278 0.00 -0.02 0.00 -0.02 10 1.1577 0.00 -0.04 0.00 0.09 11 1.1604 0.00 -0.03 0.00 -0.04 12 1.1604 0.00 0.06 0.00 -0.14 13 1.9958 0.00 -0.01 0.00 0.05 14 2.0152 0.00 0.03 0.00 -0.01 15 2.0152 0.00 -0.01 0.00 0.02 16 2.0152 0.00 0.08 0.00 0.04 17 2.0534 0.00 -0.01 0.00 0.08 18 5.1496 0.00 0.02 0.00 0.12 19 5.1497 0.00 0.02 0.00 -0.11 20 5.1499 0.00 -0.06 0.00 -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.
16RT82 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 46.992 46.992 46.992 ecceobj 0.240 0.240 0.240 incobj 20.475 20.475 20.475 qmin 34.808 34.813 34.767 qmax 59.078 59.016 59.067 amean 46.654 46.656 46.655 amin 46.229 46.213 46.229 amax 47.205 47.192 47.166 emean 0.235 0.234 0.235 emin 0.218 0.217 0.217 emax 0.253 0.252 0.253 imean 20.653 20.697 20.659 imin 20.031 20.063 20.024 imax 21.160 21.288 21.208 excite_mean 0.424 0.424 0.424 fracstop 1.000 1.000 1.000 cjmean 2.909 2.909 2.909 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 171.3 170.9 170.9 kozaiamp 179.9 180.0 180.0