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: 13RG158
# Created Sun Apr 27 01:09:40 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 38 observations of 38
# Arc: 11.13y
# First observation: 2013/09/13
# Last observation: 2024/11/01
# Chi-squared of fit: 20.11 DOF: 70 RMS: 0.13
# Min/Max residuals: -0.30 0.41
# Exact a, adot, b, bdot, g, gdot:
1.680721E-05 2.816072E-02 -9.476580E-06 -1.477940E-02 2.685446E-02 -1.812920E-03
# Covariance matrix:
2.6849E-13 -9.8663E-14 -8.7213E-14 4.3485E-14 -1.5960E-14 -2.3411E-13
-9.8663E-14 4.5404E-14 4.4625E-14 -2.2258E-14 7.4106E-15 1.1985E-13
-8.7213E-14 4.4625E-14 1.6688E-13 -4.6195E-14 7.1499E-16 1.3646E-13
4.3485E-14 -2.2258E-14 -4.6195E-14 1.8331E-14 9.4497E-16 -6.8394E-14
-1.5960E-14 7.4106E-15 7.1499E-16 9.4497E-16 1.1937E-13 -7.6482E-15
-2.3411E-13 1.1985E-13 1.3646E-13 -6.8394E-14 -7.6482E-15 3.6891E-13
# lat0 lon0 xBary yBary zBary JD0
7.245836 -12.064503 -0.040408 0.126989 -0.998067 2456548.689718
# Heliocentric elements and errors
Epoch: 2456548.5000 = 2013/09/13
Mean Anomaly: 354.74377 +/- 0.002
Argument of Peri: 177.17629 +/- 0.005
Long of Asc Node: 181.16092 +/- 0.000
Inclination: 28.52904 +/- 0.000
Eccentricity: 0.36474172 +/- 0.0001
Semi-Major Axis: 59.83240146 +/- 0.0057
Time of Perihelion: 2459016.6700 +/- 23.9
Perihelion: 38.00902840 +/- 0.0048
Aphelion: 81.65577452 +/- 0.0084
Period (y) 462.8208 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.11667909 +/- 0.0005
Ecliptic Y -7.88871703 +/- 0.0001
Ecliptic Z 4.69631738 +/- 0.0001
Ecliptic XDOT 0.00060045 +/- 0.0000
Ecliptic YDOT 0.00280503 +/- 0.0000
Ecliptic ZDOT -0.00151792 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.23529923 +/- 0.0005
Geocenter to KBO 37.23783858 +/- 0.0005
# Hcoef: 7.53
The following table shows the complete astrometric record for 13RG158. 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 (13RG158) followed by the observatory code and reference code for the source of the astrometry.
2013 09 13.18894 23 04 19.618 +01 54 18.04 22.9i 13RG158 W84 C~52RQ 2013 09 13.19032 23 04 19.623 +01 54 17.79 22.3z 13RG158 W84 C~52RQ 2013 10 28.02082 23 01 29.186 +01 25 32.23 23.3r 13RG158 W84 C~52RQ 2013 11 23.05802 23 00 54.504 +01 13 17.11 23.1r 13RG158 W84 C~52RQ 2014 10 28.14493 23 08 41.707 +01 16 26.63 22.5z 13RG158 W84 C~52RQ 2015 11 06.02823 23 15 34.083 +01 02 28.96 23.8r 13RG158 W84 C~52RQ 2015 11 06.02962 23 15 34.071 +01 02 29.12 23.3i 13RG158 W84 C~52RQ 2016 08 01.45987 23 29 05.38 +01 49 11.9 23.8z 13RG158 T09 C~7mvK 2016 08 01.47877 23 29 05.33 +01 49 11.2 23.9z 13RG158 T09 C~7mvK 2016 08 01.49230 23 29 05.28 +01 49 10.9 23.2z 13RG158 T09 C~7mvK 2016 08 01.52754 23 29 05.16 +01 49 10.0 23.4z 13RG158 T09 C~7mvK 2016 08 01.55200 23 29 05.10 +01 49 09.3 23.6z 13RG158 T09 C~7mvK 2016 08 01.58461 23 29 04.98 +01 49 08.7 23.2z 13RG158 T09 C~7mvK 2016 08 09.44305 23 28 38.68 +01 45 48.4 22.6y 13RG158 T09 C~7mvK 2016 08 09.46829 23 28 38.59 +01 45 47.6 23.2y 13RG158 T09 C~7mvK 2016 08 09.48473 23 28 38.53 +01 45 47.3 22.7y 13RG158 T09 C~7mvK 2016 08 09.51797 23 28 38.40 +01 45 46.4 23.3y 13RG158 T09 C~7mvK 2016 08 09.55952 23 28 38.26 +01 45 45.1 22.4y 13RG158 T09 C~7mvK 2016 08 28.39121 23 27 22.18 +01 35 49.7 24.2g 13RG158 T09 C~7gpV 2016 08 28.41119 23 27 22.09 +01 35 49.0 24.5g 13RG158 T09 C~7gpV 2016 08 28.41778 23 27 22.06 +01 35 48.7 24.6g 13RG158 T09 C~7gpV 2016 09 07.38805 23 26 37.04 +01 29 43.2 23.6r 13RG158 T09 C~85Du 2016 09 07.40976 23 26 36.94 +01 29 42.4 23.4r 13RG158 T09 C~85Du 2016 09 07.45841 23 26 36.70 +01 29 40.7 23.8r 13RG158 T09 C~85Du 2016 09 30.12844 23 24 53.237 +01 14 49.10 22.7z 13RG158 W84 C~52RQ 2016 11 05.03680 23 22 48.041 +00 53 09.92 22.8z 13RG158 W84 C~52RQ 2017 11 09.04198 23 29 54.115 +00 41 47.96 24.2g 13RG158 W84 C~52RQ 2017 11 09.04336 23 29 54.100 +00 41 48.17 22.5r 13RG158 W84 C~52RQ 2017 11 15.05477 23 29 42.882 +00 39 07.06 23.8g 13RG158 W84 C~52RQ 2017 11 15.05615 23 29 42.889 +00 39 07.05 23.1r 13RG158 W84 C~52RQ 2017 11 15.05752 23 29 42.877 +00 39 07.15 22.8i 13RG158 W84 C~52RQ 2017 11 25.04265 23 29 31.536 +00 35 23.56 23.3z 13RG158 W84 C~52RQ 2018 09 17.27023 23 40 32.668 +01 04 21.39 22.8i 13RG158 W84 C~52RQ 2018 09 17.27161 23 40 32.661 +01 04 21.44 22.9r 13RG158 W84 C~52RQ 2018 09 17.27297 23 40 32.636 +01 04 21.35 23.3g 13RG158 W84 C~52RQ 2024 11 01.100500 00 21 17.548 -00 21 44.07 23.3G 13RG158 G37 C~8SP3 2024 11 01.149770 00 21 17.374 -00 21 45.67 13RG158 G37 C~8SP3 2024 11 01.195920 00 21 17.165 -00 21 46.92 13RG158 G37 C~8SP3
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 -0.11 0.00 0.13
2 0.0000 0.00 0.07 0.00 -0.07
3 0.1227 0.00 -0.01 0.00 -0.03
4 0.1940 0.00 -0.10 0.00 0.08
5 1.1224 0.00 0.41 0.00 0.28
6 2.1460 0.00 0.01 0.00 -0.20
7 2.1460 0.00 -0.12 0.00 -0.00
8 2.8837 0.00 -0.01 0.00 0.33
9 2.8838 0.00 0.14 0.00 0.07
10 2.8838 0.00 0.03 0.00 0.08
11 2.8839 0.00 -0.08 0.00 0.01
12 2.8840 0.00 0.19 0.00 -0.12
13 2.8840 0.00 -0.06 0.00 0.04
14 2.9056 0.00 -0.07 0.00 0.09
15 2.9056 0.00 -0.03 0.00 -0.02
16 2.9057 0.00 -0.02 0.00 0.14
17 2.9058 0.00 -0.14 0.00 0.15
18 2.9059 0.00 0.06 0.00 -0.01
19 2.9574 0.00 -0.04 0.00 0.05
20 2.9575 0.00 -0.04 0.00 0.05
21 2.9575 0.00 -0.05 0.00 -0.02
22 2.9848 0.00 0.00 0.00 -0.10
23 2.9849 0.00 0.03 0.00 -0.08
24 2.9850 0.00 -0.15 0.00 0.06
25 3.0471 0.00 0.04 0.00 -0.17
26 3.1454 0.00 0.17 0.00 -0.03
27 4.1557 0.00 0.12 0.00 -0.29
28 4.1557 0.00 -0.06 0.00 -0.04
29 4.1721 0.00 -0.01 0.00 -0.22
30 4.1721 0.00 0.13 0.00 -0.20
31 4.1721 0.00 -0.02 0.00 -0.06
32 4.1995 0.00 -0.05 0.00 0.14
33 5.0105 0.00 0.08 0.00 -0.12
34 5.0105 0.00 0.07 0.00 -0.01
35 5.0105 0.00 -0.21 0.00 -0.05
36 11.1346 0.00 0.08 0.00 0.09
37 11.1347 0.00 0.24 0.00 -0.01
38 11.1349 0.00 -0.30 0.00 0.15
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.
13RG158 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 60.270 60.270 60.270 ecceobj 0.370 0.370 0.370 incobj 28.466 28.466 28.466 qmin 36.578 36.234 36.482 qmax 84.145 84.808 84.361 amean 59.818 59.847 59.860 amin 59.142 59.123 59.154 amax 60.700 60.768 60.754 emean 0.366 0.372 0.367 emin 0.346 0.355 0.350 emax 0.387 0.396 0.389 imean 28.012 27.755 27.988 imin 27.278 26.953 27.279 imax 28.666 28.329 28.523 excite_mean 0.595 0.596 0.596 fracstop 1.000 1.000 1.000 cjmean 2.819 2.819 2.819 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 172.8 187.1 190.0 kozaiamp 180.0 180.0 180.0