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: 13RQ124
# Created Fri Apr 26 01:14:53 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 28 observations of 28
# Arc: 6.91y
# First observation: 2013/09/13
# Last observation: 2020/08/12
# Chi-squared of fit: 5.25 DOF: 50 RMS: 0.08
# Min/Max residuals: -0.16 0.15
# Exact a, adot, b, bdot, g, gdot:
1.357946E-05 1.903615E-02 -5.493249E-06 -6.972532E-03 2.210126E-02 3.373135E-03
# Covariance matrix:
2.0461E-13 -3.1998E-14 1.1683E-14 -7.3448E-15 3.2830E-13 1.4677E-13
-3.1998E-14 6.5045E-14 9.4980E-15 -2.0647E-14 4.0965E-14 4.9891E-13
1.1683E-14 9.4980E-15 9.4543E-14 -2.4496E-14 4.9361E-14 1.1869E-13
-7.3448E-15 -2.0647E-14 -2.4496E-14 1.9022E-14 -5.2177E-14 -2.1545E-13
3.2830E-13 4.0965E-14 4.9361E-14 -5.2177E-14 1.0615E-12 1.1670E-12
1.4677E-13 4.9891E-13 1.1869E-13 -2.1545E-13 1.1670E-12 5.1337E-12
# lat0 lon0 xBary yBary zBary JD0
8.206396 -21.199399 -0.199409 0.140972 -0.976865 2456548.676958
# Heliocentric elements and errors
Epoch: 2456548.5000 = 2013/09/13
Mean Anomaly: 77.30977 +/- 0.032
Argument of Peri: 61.13762 +/- 0.045
Long of Asc Node: 179.90275 +/- 0.000
Inclination: 21.62636 +/- 0.000
Eccentricity: 0.16766103 +/- 0.0001
Semi-Major Axis: 46.64522688 +/- 0.0081
Time of Perihelion: 2431559.9446 +/- 12.2
Perihelion: 38.82464012 +/- 0.0083
Aphelion: 54.46581364 +/- 0.0106
Period (y) 318.5804 +/- 0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 42.74465044 +/- 0.0019
Ecliptic Y -16.36215291 +/- 0.0008
Ecliptic Z 6.45816910 +/- 0.0003
Ecliptic XDOT 0.00134710 +/- 0.0000
Ecliptic YDOT 0.00200325 +/- 0.0000
Ecliptic ZDOT -0.00079511 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.22253659 +/- 0.0018
Geocenter to KBO 45.24621552 +/- 0.0021
# Hcoef: 6.94
The following table shows the complete astrometric record for 13RQ124. 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 (13RQ124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 13.17618 22 29 22.800 -00 39 13.19 22.6i 13RQ124 W84 C~4yQs 2013 09 13.17618 22 29 22.80 -00 39 13.2 22.7i 13RQ124 W84 C~3clA 2013 09 13.17897 22 29 22.791 -00 39 13.38 22.8z 13RQ124 W84 C~4yQs 2013 09 29.15991 22 28 24.366 -00 47 16.97 23.6r 13RQ124 W84 C~4yQs 2013 09 29.15991 22 28 24.37 -00 47 17.0 23.5r 13RQ124 W84 C~3clA 2013 09 29.17267 22 28 24.318 -00 47 17.37 23.4i 13RQ124 W84 C~4yQs 2013 09 29.17267 22 28 24.32 -00 47 17.4 23.3i 13RQ124 W84 C~3clA 2013 09 30.07779 22 28 21.31 -00 47 44.5 23.3i 13RQ124 W84 C~3clA 2013 10 10.10787 22 27 50.423 -00 52 38.57 23.7r 13RQ124 W84 C~4yQs 2013 10 10.10787 22 27 50.42 -00 52 38.6 23.7r 13RQ124 W84 C~3clA 2013 10 11.08030 22 27 47.716 -00 53 06.34 22.7z 13RQ124 W84 C~4yQs 2013 10 11.08030 22 27 47.72 -00 53 06.3 23.0z 13RQ124 W84 C~3clA 2013 10 12.03656 22 27 45.103 -00 53 33.10 24.3i 13RQ124 W84 C~4yQs 2013 11 23.05373 22 26 54.190 -01 08 39.65 23.7r 13RQ124 W84 C~4yQs 2013 11 23.05373 22 26 54.19 -01 08 39.6 24.0r 13RQ124 W84 C~3clA 2016 08 15.22607 22 45 02.035 -00 20 06.25 23.0z 13RQ124 W84 C~4yQs 2016 09 26.11015 22 42 18.939 -00 39 56.21 23.6r 13RQ124 W84 C~4yQs 2016 09 26.11015 22 42 18.94 -00 39 56.2 23.8r 13RQ124 W84 C~3clA 2016 09 26.11153 22 42 18.934 -00 39 56.44 23.7i 13RQ124 W84 C~4yQs 2016 09 26.11153 22 42 18.93 -00 39 56.5 23.8i 13RQ124 W84 C~3clA 2016 10 05.08663 22 41 48.346 -00 44 22.72 23.8i 13RQ124 W84 C~4yQs 2016 10 05.08801 22 41 48.347 -00 44 22.59 23.6r 13RQ124 W84 C~4yQs 2016 10 05.08801 22 41 48.34 -00 44 22.6 23.8r 13RQ124 W84 C~3clA 2017 09 27.12890 22 46 47.601 -00 38 21.42 23.9r 13RQ124 W84 C~4yQs 2018 10 01.21618 22 51 03.930 -00 38 15.70 23.0z 13RQ124 W84 C~4yQs 2020 08 12.275430 23 03 07.348 -00 11 10.35 23.6G 13RQ124 G37 C~441U 2020 08 12.334730 23 03 07.127 -00 11 11.47 13RQ124 G37 C~441U 2020 08 12.409080 23 03 06.866 -00 11 13.31 13RQ124 G37 C~441U
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 -0.03 0.00 0.10
2 0.0000 0.00 -0.03 0.00 0.09
3 0.0000 0.00 -0.00 0.00 -0.01
4 0.0438 0.00 0.06 0.00 -0.02
5 0.0438 0.00 0.00 0.00 0.01
6 0.0438 0.00 -0.03 0.00 -0.04
7 0.0438 0.00 -0.06 0.00 -0.01
8 0.0463 0.00 0.14 0.00 -0.01
9 0.0737 0.00 0.04 0.00 -0.07
10 0.0737 0.00 0.09 0.00 -0.04
11 0.0764 0.00 0.11 0.00 -0.12
12 0.0764 0.00 0.05 0.00 -0.16
13 0.0790 0.00 -0.08 0.00 0.10
14 0.1941 0.00 -0.10 0.00 0.11
15 0.1941 0.00 -0.10 0.00 0.06
16 2.9214 0.00 -0.09 0.00 0.04
17 3.0361 0.00 0.06 0.00 0.15
18 3.0361 0.00 0.05 0.00 0.14
19 3.0361 0.00 -0.01 0.00 -0.11
20 3.0361 0.00 0.05 0.00 -0.05
21 3.0607 0.00 -0.03 0.00 -0.13
22 3.0607 0.00 -0.06 0.00 0.03
23 3.0607 0.00 0.05 0.00 0.04
24 4.0382 0.00 0.09 0.00 -0.01
25 5.0487 0.00 -0.05 0.00 0.01
26 6.9133 0.00 0.07 0.00 -0.12
27 6.9135 0.00 -0.08 0.00 0.11
28 6.9137 0.00 -0.01 0.00 -0.02
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.
13RQ124 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.849 46.849 46.849 ecceobj 0.167 0.167 0.167 incobj 21.570 21.570 21.570 qmin 38.218 38.243 38.208 qmax 55.798 55.810 55.784 amean 46.816 46.816 46.815 amin 46.410 46.425 46.417 amax 47.273 47.281 47.270 emean 0.166 0.166 0.166 emin 0.153 0.152 0.153 emax 0.181 0.181 0.181 imean 21.412 21.412 21.412 imin 21.026 21.026 21.026 imax 21.814 21.804 21.807 excite_mean 0.401 0.401 0.401 fracstop 1.000 1.000 1.000 cjmean 2.933 2.933 2.933 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 185.7 185.8 186.1 kozaiamp 180.0 180.0 180.0