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: 16RL82 # Created Fri Nov 22 02:10:44 2024 # Orbit generated from Bernstein formalism # Fitting 19 observations of 20 # Arc: 3.86y # First observation: 2015/01/19 # Last observation: 2018/11/29 Preliminary a, adot, b, bdot, g, gdot: -0.000666 0.029943 -0.000127 0.009981 0.027173 0.000000 # Chi-squared of fit: 9.17 DOF: 32 RMS: 0.12 # Min/Max residuals: -0.28 0.22 # Exact a, adot, b, bdot, g, gdot: 1.639791E-05 2.854122E-02 7.109804E-06 9.570972E-03 2.633149E-02 -4.543331E-03 # Covariance matrix: 8.4844E-13 -6.2987E-13 5.9928E-14 -1.3482E-13 -3.0073E-13 -3.6768E-12 -6.2987E-13 7.2186E-13 -1.1142E-13 1.6293E-13 1.4160E-13 4.4472E-12 5.9928E-14 -1.1142E-13 3.1897E-13 -1.3482E-13 1.1143E-14 -7.0248E-13 -1.3482E-13 1.6293E-13 -1.3482E-13 9.3504E-14 4.4720E-14 1.0953E-12 -3.0073E-13 1.4160E-13 1.1143E-14 4.4720E-14 2.7622E-13 1.2166E-12 -3.6768E-12 4.4472E-12 -7.0248E-13 1.0953E-12 1.2166E-12 2.9892E-11 # lat0 lon0 xBary yBary zBary JD0 -13.467355 26.736582 -0.981514 0.006387 0.025806 2457041.554318 # Heliocentric elements and errors Epoch: 2457040.5000 = 2015/01/18 Mean Anomaly: 343.74451 +/- 0.019 Argument of Peri: 354.97208 +/- 0.039 Long of Asc Node: 62.61677 +/- 0.001 Inclination: 23.00410 +/- 0.000 Eccentricity: 0.30852778 +/- 0.0001 Semi-Major Axis: 52.98482835 +/- 0.0073 Time of Perihelion: 2463401.4682 +/- 7.3 Perihelion: 36.63753700 +/- 0.0082 Aphelion: 69.33211970 +/- 0.0115 Period (y) 385.6874 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.51589680 +/- 0.0006 Ecliptic Y 17.48175258 +/- 0.0004 Ecliptic Z -8.84439280 +/- 0.0002 Ecliptic XDOT -0.00154227 +/- 0.0000 Ecliptic YDOT 0.00254255 +/- 0.0000 Ecliptic ZDOT 0.00107790 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.96206662 +/- 0.0006 Geocenter to KBO 37.97734157 +/- 0.0008 # Hcoef: 7.99
The following table shows the complete astrometric record for 16RL82. 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 (16RL82) followed by the observatory code and reference code for the source of the astrometry.
2015 01 19.05354 01 58 31.925 -02 16 18.21 24.5g 16RL82 W84 C~55Zp 2015 11 08.44094 02 07 17.48 -01 19 38.1 24.1r 16RL82 T09 C~89UA 2015 11 08.44377 02 07 17.48 -01 19 38.1 24.0r 16RL82 T09 C~89UA 2015 11 08.45382 02 07 17.41 -01 19 38.1 24.2r 16RL82 T09 C~89UA 2015 11 08.46679 02 07 17.34 -01 19 38.5 24.1r 16RL82 T09 C~89UA 2015 11 08.47551 02 07 17.30 -01 19 38.5 24.2r 16RL82 T09 C~89UA 2016 09 07.51163 02 17 25.63 +00 12 45.8 23.6r 16RL82 T09 C~7xTL 2016 09 07.53125 02 17 25.57 +00 12 45.3 23.5r 16RL82 T09 C~7xTL 2016 09 07.59980 02 17 25.36 +00 12 43.7 23.7r 16RL82 T09 C~7xTL 2016 09 07.60406 02 17 25.35 +00 12 43.7 23.5r 16RL82 T09 C~7xTL 2016 09 10.30219 02 17 17.306 +00 11 35.01 23.3r 16RL82 W84 C~55Zp 2016 12 23.05251 02 09 45.903 -00 13 15.13 24.3r 16RL82 W84 C~55Zp 2017 10 13.24804 02 20 35.491 +01 05 49.72 23.9r 16RL82 W84 C~55Zp 2017 10 21.22556 02 19 55.139 +01 02 42.25 24.2g 16RL82 W84 C~55Zp 2017 11 16.18502 02 17 41.187 +00 55 01.50 22.8r 16RL82 W84 C~55Zp 2017 12 07.03810 02 16 07.846 +00 52 57.41 23.1i 16RL82 W84 C~55Zp 2018 09 11.33153 02 28 23.045 +02 27 59.25 22.8i 16RL82 W84 C~55Zp 2018 09 11.33817 02 28 23.020 +02 27 58.96 23.7r 16RL82 W84 C~55Zp 2018 09 11.33956 02 28 23.010 +02 27 59.23 24.0g 16RL82 W84 C~55Zp 2018 11 29.17757 02 22 16.220 +02 02 00.86 24.4g 16RL82 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 0.15 0.00 -0.28 2 0.8033 8578.58 -0.10 371.26 0.01 3 0.8033 8578.58 0.12 371.26 -0.03 4 0.8033 8577.60 -0.08 371.63 0.21 5 0.8033 8576.48 -0.20 371.63 0.04 6 0.8033 8575.91 -0.09 371.85 0.13 7 1.6358 19128.29 0.03 2301.99 -0.09 8 1.6358 19127.27 0.00 2301.84 -0.09 9 1.6360 19123.72 -0.03 2301.47 0.07 10 1.6360 19123.58 0.04 2301.52 0.15 11 1.6434 18985.16 ( 0.57) 2280.26 ( -0.06) 12 1.9274 12088.40 0.08 3303.34 -0.08 13 2.7329 22966.11 0.06 4274.53 -0.19 14 2.7547 22326.15 -0.03 4314.63 0.15 15 2.8258 20262.97 0.22 4599.64 -0.07 16 2.8829 18898.61 -0.06 4983.11 0.18 17 3.6448 31423.34 0.10 6420.33 -0.08 18 3.6449 31422.88 -0.02 6420.19 -0.18 19 3.6449 31422.84 0.01 6420.50 0.14 20 3.8607 25619.36 -0.21 6911.08 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.
16RL82 quality flag:3 Type: 7:3EEEE 7:3EEEE 7:3EEEE axisobj 53.614 53.634 53.594 ecceobj 0.315 0.315 0.315 incobj 22.976 22.976 22.976 qmin 36.194 36.256 36.246 qmax 70.747 70.781 70.713 amean 52.968 52.968 52.968 amin 52.363 52.371 52.381 amax 53.717 53.736 53.699 emean 0.287 0.287 0.280 emin 0.250 0.260 0.223 emax 0.317 0.317 0.317 imean 22.678 22.658 22.932 imin 21.768 21.775 21.757 imax 23.857 23.590 24.850 excite_mean 0.481 0.481 0.480 fracstop 1.000 1.000 1.000 cjmean 2.912 2.912 2.912 libcent 0 180.0 182.6 181.8 libamp 0 134.7 137.8 143.8 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 134.1 155.8 114.3 kozaiamp 180.0 180.0 180.0