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: 13RJ158 # Created Sun Nov 24 02:09:32 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 10.01y # First observation: 2013/09/01 # Last observation: 2023/09/06 # Chi-squared of fit: 7.82 DOF: 48 RMS: 0.10 # Min/Max residuals: -0.24 0.24 # Exact a, adot, b, bdot, g, gdot: 2.007730E-05 3.319166E-02 -3.787960E-06 -6.882691E-03 2.739697E-02 1.027391E-02 # Covariance matrix: 3.2468E-13 -6.5335E-14 5.2828E-15 6.5472E-15 2.7865E-13 -1.1687E-13 -6.5335E-14 5.2236E-14 1.6588E-14 -9.7784E-15 7.1155E-14 1.5941E-13 5.2828E-15 1.6588E-14 1.6952E-13 -3.1700E-14 7.5474E-14 6.1684E-14 6.5472E-15 -9.7784E-15 -3.1700E-14 9.7428E-15 -1.9834E-14 -3.5122E-14 2.7865E-13 7.1155E-14 7.5474E-14 -1.9834E-14 9.7709E-13 2.9749E-13 -1.1687E-13 1.5941E-13 6.1684E-14 -3.5122E-14 2.9749E-13 5.7127E-13 # lat0 lon0 xBary yBary zBary JD0 12.957244 -34.374723 -0.226052 0.220881 -0.959682 2456536.646108 # Heliocentric elements and errors Epoch: 2456536.5000 = 2013/09/01 Mean Anomaly: 8.71798 +/- 0.006 Argument of Peri: 86.88624 +/- 0.008 Long of Asc Node: 192.48897 +/- 0.000 Inclination: 17.15137 +/- 0.000 Eccentricity: 0.62907737 +/- 0.0001 Semi-Major Axis: 89.41957524 +/- 0.0372 Time of Perihelion: 2449057.2086 +/- 6.7 Perihelion: 33.16774401 +/- 0.0182 Aphelion: 145.67140647 +/- 0.0617 Period (y) 845.5847 +/- 0.53 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.29960461 +/- 0.0011 Ecliptic Y -20.44985613 +/- 0.0007 Ecliptic Z 8.18412694 +/- 0.0003 Ecliptic XDOT 0.00281967 +/- 0.0000 Ecliptic YDOT 0.00208459 +/- 0.0000 Ecliptic ZDOT -0.00043994 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.45965991 +/- 0.0009 Geocenter to KBO 36.50021392 +/- 0.0013 # Hcoef: 6.89
The following table shows the complete astrometric record for 13RJ158. 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 (13RJ158) followed by the observatory code and reference code for the source of the astrometry.
2013 09 01.14533 21 34 12.946 -00 45 11.69 23.9g 13RJ158 W84 C~55Nc 2013 09 03.174583 21 34 03.87 -00 46 19.1 24.1g 13RJ158 W84 C~55Nc 2013 09 29.111389 21 32 25.58 -01 01 17.5 22.5r 13RJ158 W84 C~55Nc 2013 09 29.129641 21 32 25.52 -01 01 18.1 22.3i 13RJ158 W84 C~55Nc 2013 10 11.059734 21 31 55.97 -01 07 58.2 22.3z 13RJ158 W84 C~55Nc 2013 10 12.010069 21 31 54.16 -01 08 28.7 21.9z 13RJ158 W84 C~55Nc 2016 09 05.21464 21 56 14.872 -00 03 37.02 23.0r 13RJ158 W84 C~55Nc 2016 09 07.151088 21 56 06.37 -00 04 41.4 23.2g 13RJ158 W84 C~55Nc 2016 09 26.031933 21 54 51.72 -00 15 31.0 22.1r 13RJ158 W84 C~55Nc 2016 09 26.033299 21 54 51.71 -00 15 31.0 21.8i 13RJ158 W84 C~55Nc 2016 09 26.034664 21 54 51.70 -00 15 30.8 23.4g 13RJ158 W84 C~55Nc 2016 09 28.029502 21 54 44.92 -00 16 39.7 22.1z 13RJ158 W84 C~55Nc 2017 08 19.21370 22 04 41.535 +00 19 20.44 23.1r 13RJ158 W84 C~55Nc 2017 09 27.07491 22 01 56.329 -00 01 50.28 22.8r 13RJ158 W84 C~55Nc 2017 09 27.07628 22 01 56.320 -00 01 50.37 22.3i 13RJ158 W84 C~55Nc 2017 09 27.07765 22 01 56.319 -00 01 50.34 22.9z 13RJ158 W84 C~55Nc 2017 10 21.04619 22 00 52.809 -00 14 49.63 24.2g 13RJ158 W84 C~55Nc 2017 10 21.04755 22 00 52.794 -00 14 49.62 23.1r 13RJ158 W84 C~55Nc 2017 10 22.04361 22 00 51.144 -00 15 19.06 22.5i 13RJ158 W84 C~55Nc 2017 10 26.03988 22 00 45.437 -00 17 13.43 22.1z 13RJ158 W84 C~55Nc 2018 09 17.21635 22 09 33.402 +00 17 47.47 23.0r 13RJ158 W84 C~55Nc 2018 09 17.21772 22 09 33.401 +00 17 47.35 22.6z 13RJ158 W84 C~55Nc 2018 09 17.21909 22 09 33.387 +00 17 47.39 22.5i 13RJ158 W84 C~55Nc 2018 11 26.03137 22 07 41.766 -00 14 09.60 22.6z 13RJ158 W84 C~55Nc 2023 09 06.265000 22 43 03.604 +01 28 34.69 22.4G 13RJ158 G37 C~7Ax8 2023 09 06.301500 22 43 03.446 +01 28 33.59 13RJ158 G37 C~7Ax8 2023 09 06.337840 22 43 03.286 +01 28 32.27 13RJ158 G37 C~7Ax8
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 -0.17 0.00 -0.10
2 0.0056 0.00 0.12 0.00 0.10
3 0.0766 0.00 0.00 0.00 -0.05
4 0.0766 0.00 -0.06 0.00 -0.03
5 0.1093 0.00 -0.00 0.00 -0.11
6 0.1119 0.00 0.18 0.00 -0.02
7 3.0118 0.00 0.08 0.00 -0.24
8 3.0171 0.00 -0.12 0.00 0.16
9 3.0688 0.00 0.08 0.00 -0.08
10 3.0688 0.00 0.00 0.00 -0.03
11 3.0688 0.00 -0.07 0.00 0.21
12 3.0743 0.00 -0.02 0.00 0.05
13 3.9646 0.00 0.04 0.00 0.24
14 4.0710 0.00 -0.02 0.00 -0.00
15 4.0710 0.00 -0.08 0.00 -0.04
16 4.0710 0.00 -0.02 0.00 0.03
17 4.1366 0.00 0.13 0.00 -0.03
18 4.1366 0.00 -0.06 0.00 0.02
19 4.1394 0.00 -0.07 0.00 -0.04
20 4.1503 0.00 0.18 0.00 0.08
21 5.0433 0.00 0.00 0.00 0.06
22 5.0433 0.00 0.07 0.00 -0.01
23 5.0433 0.00 -0.05 0.00 0.08
24 5.2345 0.00 -0.08 0.00 -0.03
25 10.0126 0.00 -0.01 0.00 -0.01
26 10.0127 0.00 0.01 0.00 0.02
27 10.0128 0.00 -0.01 0.00 -0.18
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.
13RJ158 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 89.984 89.985 89.984 ecceobj 0.631 0.631 0.631 incobj 17.141 17.141 17.141 qmin 32.409 32.387 31.865 qmax 164.361 160.628 159.755 amean 90.523 92.597 90.651 amin 87.643 87.938 87.740 amax 98.967 97.644 96.799 emean 0.626 0.631 0.630 emin 0.606 0.614 0.611 emax 0.661 0.650 0.653 imean 18.406 18.937 17.662 imin 16.963 16.942 15.730 imax 19.890 20.662 18.811 excite_mean 0.701 0.710 0.700 fracstop 1.000 1.000 1.000 cjmean 2.897 2.897 2.898 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 192.6 197.8 187.3 kozaiamp 180.0 180.0 180.0