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: 16RF82 # Created Sun Apr 21 01:17:57 2024 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 4.16y # First observation: 2014/09/30 # Last observation: 2018/11/28 Preliminary a, adot, b, bdot, g, gdot: -0.000272 0.029684 0.000064 -0.012884 0.027728 0.000000 # Chi-squared of fit: 8.90 DOF: 30 RMS: 0.12 # Min/Max residuals: -0.36 0.35 # Exact a, adot, b, bdot, g, gdot: 1.800962E-05 2.915300E-02 -7.149127E-06 -1.261718E-02 2.673697E-02 -6.031236E-03 # Covariance matrix: 6.1139E-13 -4.8108E-13 -8.9705E-14 1.4257E-13 -8.7322E-14 -3.0457E-12 -4.8108E-13 6.0506E-13 1.4261E-13 -2.2626E-13 1.3374E-13 4.8398E-12 -8.9705E-14 1.4261E-13 4.3352E-13 -1.9686E-13 1.2569E-14 1.2863E-12 1.4257E-13 -2.2626E-13 -1.9686E-13 1.5462E-13 -6.6682E-14 -2.0012E-12 -8.7322E-14 1.3374E-13 1.2569E-14 -6.6682E-14 6.1491E-13 6.9489E-13 -3.0457E-12 4.8398E-12 1.2863E-12 -2.0012E-12 6.9489E-13 4.3426E-11 # lat0 lon0 xBary yBary zBary JD0 -33.852564 -18.554863 -0.427238 -0.505917 -0.754510 2456930.666718 # Heliocentric elements and errors Epoch: 2456930.5000 = 2014/09/30 Mean Anomaly: 347.44064 +/- 0.012 Argument of Peri: 274.07310 +/- 0.034 Long of Asc Node: 109.89436 +/- 0.001 Inclination: 39.47073 +/- 0.000 Eccentricity: 0.44256280 +/- 0.0002 Semi-Major Axis: 64.68250616 +/- 0.0160 Time of Perihelion: 2463559.4363 +/- 5.6 Perihelion: 36.05643525 +/- 0.0136 Aphelion: 93.30857707 +/- 0.0252 Period (y) 520.2217 +/- 0.19 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.44110263 +/- 0.0009 Ecliptic Y -9.76600397 +/- 0.0003 Ecliptic Z -20.83498621 +/- 0.0006 Ecliptic XDOT -0.00022321 +/- 0.0000 Ecliptic YDOT 0.00321768 +/- 0.0000 Ecliptic ZDOT -0.00072882 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.15930048 +/- 0.0008 Geocenter to KBO 37.40139501 +/- 0.0011 # Hcoef: 7.79
The following table shows the complete astrometric record for 16RF82. 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 (16RF82) followed by the observatory code and reference code for the source of the astrometry.
2014 09 30.16594 23 53 55.475 -38 02 23.60 24.0g 16RF82 W84 C~55Zo 2014 09 30.16730 23 53 55.473 -38 02 23.49 23.8i 16RF82 W84 C~55Zo 2015 11 06.06192 00 00 03.758 -37 51 06.53 23.8r 16RF82 W84 C~55Zo 2015 11 06.06328 00 00 03.747 -37 51 06.21 24.4g 16RF82 W84 C~55Zo 2016 09 08.34095 00 14 28.204 -37 25 19.90 23.4r 16RF82 W84 C~55Zo 2016 09 08.34232 00 14 28.207 -37 25 20.12 22.8i 16RF82 W84 C~55Zo 2016 09 08.34368 00 14 28.183 -37 25 20.04 23.5g 16RF82 W84 C~55Zo 2016 10 07.01323 00 11 42.715 -37 39 24.89 23.5i 16RF82 W84 C~55Zo 2016 10 21.10272 00 10 25.546 -37 40 51.33 23.4r 16RF82 W84 C~55Zo 2017 01 21.05892 00 09 35.874 -36 32 43.48 23.2i 16RF82 W84 C~55Zo 2017 09 27.33448 00 21 59.195 -37 19 04.38 23.3r 16RF82 W84 C~55Zo 2017 09 27.33585 00 21 59.186 -37 19 04.34 23.6i 16RF82 W84 C~55Zo 2017 09 27.33721 00 21 59.173 -37 19 04.39 24.2g 16RF82 W84 C~55Zo 2017 10 22.12074 00 19 38.206 -37 24 33.15 24.3g 16RF82 W84 C~55Zo 2017 10 22.25568 00 19 37.495 -37 24 33.04 23.5r 16RF82 W84 C~55Zo 2017 10 27.21765 00 19 12.144 -37 24 11.35 23.2z 16RF82 W84 C~55Zo 2018 11 15.07178 00 27 07.094 -36 59 57.55 23.4i 16RF82 W84 C~55Zo 2018 11 28.08152 00 26 27.862 -36 52 30.63 24.3g 16RF82 W84 C~55Zo
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 -0.16 0.00 -0.06
2 0.0000 0.03 -0.03 0.11 0.02
3 1.1003 4136.88 0.11 -1525.82 -0.20
4 1.1003 4136.92 0.20 -1525.48 0.08
5 1.9416 13781.13 -0.01 -5439.58 0.02
6 1.9416 13781.05 0.01 -5439.78 -0.19
7 1.9416 13780.84 -0.08 -5439.57 0.03
8 2.0201 11652.59 0.04 -5127.48 0.12
9 2.0587 10821.39 0.35 -4724.85 0.15
10 2.3105 12425.38 -0.36 -910.31 0.23
11 2.9929 18560.11 -0.01 -8013.87 -0.08
12 2.9929 18560.04 0.02 -8013.78 -0.01
13 2.9929 18559.88 -0.03 -8013.74 0.01
14 3.0608 16954.33 -0.09 -7376.09 0.07
15 3.0612 16947.19 -0.03 -7371.41 -0.09
16 3.0747 16702.09 0.01 -7189.60 -0.03
17 4.1257 22308.27 0.04 -9089.81 -0.01
18 4.1613 22160.70 0.01 -8452.09 -0.06
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.
16RF82 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 65.597 65.639 65.555 ecceobj 0.450 0.450 0.450 incobj 39.457 39.457 39.457 qmin 35.524 35.475 34.574 qmax 95.894 96.092 96.841 amean 64.943 65.020 64.946 amin 64.122 64.267 64.151 amax 66.020 66.095 66.036 emean 0.430 0.434 0.442 emin 0.411 0.413 0.424 emax 0.452 0.454 0.467 imean 38.387 38.247 37.926 imin 37.701 37.697 37.090 imax 39.065 39.038 38.548 excite_mean 0.755 0.756 0.757 fracstop 1.000 1.000 1.000 cjmean 2.542 2.542 2.542 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 167.6 167.8 181.2 kozaiamp 180.0 179.9 180.0