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: 13RF158
# Created Wed Apr 2 01:09:45 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 29 observations of 29
# Arc: 8.95y
# First observation: 2013/09/13
# Last observation: 2022/08/27
# Chi-squared of fit: 15.84 DOF: 52 RMS: 0.13
# Min/Max residuals: -0.39 0.39
# Exact a, adot, b, bdot, g, gdot:
1.631693E-05 2.910956E-02 5.187625E-06 8.070152E-03 2.707338E-02 1.848980E-03
# Covariance matrix:
2.8710E-13 -1.4301E-13 4.5267E-14 -3.0937E-14 2.1630E-14 -4.0472E-13
-1.4301E-13 9.4211E-14 -3.3040E-14 2.2514E-14 -1.8404E-14 2.9447E-13
4.5267E-14 -3.3040E-14 1.4020E-13 -3.5317E-14 8.5935E-15 -1.1424E-13
-3.0937E-14 2.2514E-14 -3.5317E-14 1.5314E-14 -2.8250E-15 7.8597E-14
2.1630E-14 -1.8404E-14 8.5935E-15 -2.8250E-15 1.2374E-13 -3.4089E-14
-4.0472E-13 2.9447E-13 -1.1424E-13 7.8597E-14 -3.4089E-14 1.0287E-12
# lat0 lon0 xBary yBary zBary JD0
6.086211 -18.387196 -0.150769 0.105646 -0.989955 2456548.678358
# Heliocentric elements and errors
Epoch: 2456548.5000 = 2013/09/13
Mean Anomaly: 13.68140 +/- 0.006
Argument of Peri: 0.07804 +/- 0.009
Long of Asc Node: 321.43862 +/- 0.000
Inclination: 16.58011 +/- 0.000
Eccentricity: 0.20734375 +/- 0.0001
Semi-Major Axis: 47.29386683 +/- 0.0040
Time of Perihelion: 2452033.7508 +/- 1.9
Perihelion: 37.48777894 +/- 0.0043
Aphelion: 57.09995473 +/- 0.0056
Period (y) 325.2486 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 35.84550752 +/- 0.0005
Ecliptic Y -11.75343765 +/- 0.0002
Ecliptic Z 3.91637688 +/- 0.0001
Ecliptic XDOT 0.00101672 +/- 0.0000
Ecliptic YDOT 0.00276093 +/- 0.0000
Ecliptic ZDOT 0.00083147 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.92596250 +/- 0.0004
Geocenter to KBO 36.93665120 +/- 0.0005
# Hcoef: 8.13
The following table shows the complete astrometric record for 13RF158. 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 (13RF158) followed by the observatory code and reference code for the source of the astrometry.
2013 09 13.17758 22 42 54.394 -01 34 31.05 23.4i 13RF158 W84 C~52RQ 2013 09 30.08098 22 41 36.411 -01 42 01.36 24.2r 13RF158 W84 C~52RQ 2013 09 30.08245 22 41 36.403 -01 42 01.47 23.3i 13RF158 W84 C~52RQ 2013 10 10.11083 22 40 56.278 -01 46 14.13 23.9r 13RF158 W84 C~52RQ 2013 10 11.09797 22 40 52.660 -01 46 37.97 23.4z 13RF158 W84 C~52RQ 2015 10 10.25446 22 51 48.50 +00 19 46.9 24.7r 13RF158 T09 C~8eOH 2015 10 10.25943 22 51 48.49 +00 19 46.7 24.4r 13RF158 T09 C~8eOH 2015 10 10.27216 22 51 48.43 +00 19 46.7 25.2r 13RF158 T09 C~8eOH 2015 10 10.27852 22 51 48.42 +00 19 46.4 25.0r 13RF158 T09 C~8eOH 2015 10 10.28063 22 51 48.40 +00 19 46.4 24.2r 13RF158 T09 C~8eOH 2015 11 03.04829 22 50 36.174 +00 10 41.69 23.9r 13RF158 W84 C~52RQ 2015 11 08.03057 22 50 26.937 +00 09 13.94 22.9i 13RF158 W84 C~52RQ 2016 07 05.51462 23 03 48.25 +01 51 18.1 23.7i 13RF158 T09 C~89NQ 2016 07 05.53360 23 03 48.21 +01 51 18.3 23.7i 13RF158 T09 C~89NQ 2016 07 05.54987 23 03 48.16 +01 51 18.4 23.7i 13RF158 T09 C~89NQ 2016 07 05.56071 23 03 48.15 +01 51 18.3 23.6i 13RF158 T09 C~89NQ 2016 07 12.47246 23 03 33.08 +01 51 31.5 24.0z 13RF158 T09 C~8GyC 2016 07 12.50770 23 03 32.99 +01 51 31.3 23.6z 13RF158 T09 C~8GyC 2016 07 12.51040 23 03 33.00 +01 51 31.5 23.8z 13RF158 T09 C~8GyC 2016 07 12.52931 23 03 32.94 +01 51 31.3 23.9z 13RF158 T09 C~8GyC 2016 07 12.60472 23 03 32.75 +01 51 31.3 23.5z 13RF158 T09 C~8GyC 2016 07 12.61283 23 03 32.72 +01 51 31.3 23.4z 13RF158 T09 C~8GyC 2016 07 12.61553 23 03 32.72 +01 51 31.3 23.5z 13RF158 T09 C~8GyC 2016 10 29.03937 22 56 07.363 +01 14 16.69 24.1r 13RF158 W84 C~52RQ 2016 10 29.04075 22 56 07.358 +01 14 16.32 23.0i 13RF158 W84 C~52RQ 2016 10 29.04213 22 56 07.351 +01 14 16.50 24.0g 13RF158 W84 C~52RQ 2022 08 27.263980 23 32 46.335 +07 49 26.86 23.8G 13RF158 G37 C~5nHa 2022 08 27.310570 23 32 46.107 +07 49 26.06 13RF158 G37 C~5nHa 2022 08 27.357570 23 32 45.898 +07 49 25.04 13RF158 G37 C~5nHa
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 -0.04
2 0.0463 0.00 0.01 0.00 -0.09
3 0.0463 0.00 -0.01 0.00 -0.16
4 0.0737 0.00 0.03 0.00 -0.03
5 0.0764 0.00 0.01 0.00 -0.15
6 2.0728 0.00 -0.08 0.00 -0.00
7 2.0728 0.00 0.07 0.00 -0.07
8 2.0728 0.00 -0.08 0.00 0.26
9 2.0728 0.00 0.15 0.00 0.13
10 2.0728 0.00 -0.02 0.00 0.18
11 2.1379 0.00 -0.06 0.00 0.09
12 2.1515 0.00 0.39 0.00 -0.19
13 2.8100 0.00 0.08 0.00 0.07
14 2.8100 0.00 0.04 0.00 0.19
15 2.8101 0.00 -0.23 0.00 0.23
16 2.8101 0.00 -0.05 0.00 0.08
17 2.8290 0.00 -0.10 0.00 0.17
18 2.8291 0.00 -0.11 0.00 -0.02
19 2.8291 0.00 0.14 0.00 0.18
20 2.8292 0.00 -0.03 0.00 -0.01
21 2.8294 0.00 0.02 0.00 0.01
22 2.8294 0.00 -0.12 0.00 0.01
23 2.8294 0.00 -0.02 0.00 0.01
24 3.1262 0.00 -0.03 0.00 -0.05
25 3.1263 0.00 -0.05 0.00 -0.39
26 3.1263 0.00 -0.10 0.00 -0.18
27 8.9530 0.00 0.10 0.00 -0.06
28 8.9531 0.00 -0.07 0.00 0.02
29 8.9533 0.00 0.07 0.00 -0.11
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.
13RF158 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 47.570 47.570 47.570 ecceobj 0.212 0.212 0.212 incobj 16.543 16.543 16.543 qmin 36.233 36.233 36.233 qmax 58.987 58.943 58.956 amean 47.345 47.346 47.345 amin 46.916 46.917 46.909 amax 47.914 47.914 47.916 emean 0.213 0.213 0.213 emin 0.196 0.196 0.196 emax 0.233 0.233 0.233 imean 17.434 17.434 17.434 imin 16.834 16.834 16.834 imax 18.086 18.085 18.086 excite_mean 0.368 0.368 0.368 fracstop 1.000 1.000 1.000 cjmean 2.973 2.973 2.973 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 172.4 172.4 172.5 kozaiamp 180.0 180.0 180.0