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: 13RE124
# Created Wed Dec 25 02:09:27 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 23 observations of 23
# Arc: 8.03y
# First observation: 2013/09/02
# Last observation: 2021/09/12
# Chi-squared of fit: 8.96 DOF: 40 RMS: 0.11
# Min/Max residuals: -0.35 0.27
# Exact a, adot, b, bdot, g, gdot:
1.708744E-05 2.731943E-02 -8.643527E-06 -1.679993E-02 2.530041E-02 3.349519E-03
# Covariance matrix:
3.0369E-13 -6.1239E-14 -5.9678E-15 1.6572E-14 3.6048E-13 -1.3644E-13
-6.1239E-14 7.1794E-14 1.8135E-14 -3.8955E-14 -2.4045E-14 3.1564E-13
-5.9678E-15 1.8135E-14 1.0533E-13 -2.9063E-14 6.1768E-15 9.3792E-14
1.6572E-14 -3.8955E-14 -2.9063E-14 3.3316E-14 -5.8303E-15 -1.9969E-13
3.6048E-13 -2.4045E-14 6.1768E-15 -5.8303E-15 6.9052E-13 4.2957E-14
-1.3644E-13 3.1564E-13 9.3792E-14 -1.9969E-13 4.2957E-14 1.6170E-12
# lat0 lon0 xBary yBary zBary JD0
3.005682 -8.814636 0.202371 0.051974 -0.988242 2456537.755778
# Heliocentric elements and errors
Epoch: 2456538.5000 = 2013/09/03
Mean Anomaly: 2.10806 +/- 0.002
Argument of Peri: 160.25229 +/- 0.005
Long of Asc Node: 175.66231 +/- 0.000
Inclination: 31.68641 +/- 0.000
Eccentricity: 0.66869373 +/- 0.0002
Semi-Major Axis: 120.79440378 +/- 0.0651
Time of Perihelion: 2453698.9550 +/- 3.4
Perihelion: 40.01994283 +/- 0.0296
Aphelion: 201.56886474 +/- 0.1105
Period (y) 1327.6342 +/- 1.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 39.95128421 +/- 0.0013
Ecliptic Y -6.39690021 +/- 0.0002
Ecliptic Z 2.07214688 +/- 0.0001
Ecliptic XDOT 0.00089873 +/- 0.0000
Ecliptic YDOT 0.00285025 +/- 0.0000
Ecliptic ZDOT -0.00179634 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.51311995 +/- 0.0013
Geocenter to KBO 39.52500095 +/- 0.0013
# Hcoef: 6.87
The following table shows the complete astrometric record for 13RE124. 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 (13RE124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.25500 23 22 52.644 -00 43 52.56 23.3g 13RE124 W84 C~4yQr 2013 09 08.17452 23 22 27.58 -00 47 29.8 23.0g 13RE124 W84 C~3cl9 2013 09 09.10756 23 22 23.602 -00 48 04.43 23.3g 13RE124 W84 C~4yQr 2013 09 10.29775 23 22 18.509 -00 48 49.09 23.3g 13RE124 W84 C~4yQr 2013 09 30.11140 23 20 55.328 -01 01 18.70 22.9r 13RE124 W84 C~4yQr 2013 09 30.11286 23 20 55.318 -01 01 18.85 22.6i 13RE124 W84 C~4yQr 2013 10 11.11090 23 20 13.279 -01 08 01.94 22.6z 13RE124 W84 C~4yQr 2013 10 12.09068 23 20 09.778 -01 08 36.41 22.2i 13RE124 W84 C~4yQr 2013 10 12.11332 23 20 09.698 -01 08 37.55 22.1z 13RE124 W84 C~4yQr 2013 10 13.04822 23 20 06.400 -01 09 10.36 22.9z 13RE124 W84 C~4yQr 2013 10 13.07574 23 20 06.323 -01 09 11.23 22.3i 13RE124 W84 C~4yQr 2013 11 08.07572 23 18 56.092 -01 22 31.24 23.2r 13RE124 W84 C~4yQr 2013 11 22.05351 23 18 39.732 -01 27 36.01 23.8g 13RE124 W84 C~4yQr 2014 10 28.12286 23 26 32.747 -01 33 15.26 23.3r 13RE124 W84 C~4yQr 2016 08 15.25594 23 45 31.572 -01 21 40.90 22.8z 13RE124 W84 C~4yQr 2016 09 30.09716 23 42 28.072 -01 49 12.07 23.0r 13RE124 W84 C~4yQr 2016 09 30.09852 23 42 28.059 -01 49 12.12 23.0i 13RE124 W84 C~4yQr 2016 09 30.09989 23 42 28.061 -01 49 12.16 23.9g 13RE124 W84 C~4yQr 2016 10 05.08483 23 42 07.784 -01 52 13.76 22.7z 13RE124 W84 C~4yQr 2018 09 09.21309 23 58 02.836 -02 06 40.14 22.8i 13RE124 W84 C~4yQr 2021 09 12.319910 00 18 27.553 -02 52 30.93 22.9G 13RE124 G37 C~55Nb 2021 09 12.379920 00 18 27.314 -02 52 33.19 13RE124 G37 C~55Nb 2021 09 12.440310 00 18 27.062 -02 52 35.40 13RE124 G37 C~55Nb
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 -0.35
2 0.0162 0.00 -0.06 0.00 0.07
3 0.0188 0.00 -0.09 0.00 0.23
4 0.0220 0.00 0.01 0.00 0.10
5 0.0763 0.00 0.03 0.00 0.04
6 0.0763 0.00 -0.03 0.00 -0.06
7 0.1064 0.00 0.05 0.00 -0.10
8 0.1091 0.00 -0.01 0.00 0.18
9 0.1091 0.00 0.02 0.00 -0.16
10 0.1117 0.00 -0.12 0.00 -0.03
11 0.1118 0.00 0.20 0.00 0.07
12 0.1829 0.00 -0.03 0.00 -0.09
13 0.2212 0.00 -0.07 0.00 0.04
14 1.1523 0.00 -0.09 0.00 -0.01
15 2.9514 0.00 0.01 0.00 -0.18
16 3.0769 0.00 0.10 0.00 -0.00
17 3.0769 0.00 -0.01 0.00 -0.00
18 3.0769 0.00 0.10 0.00 0.01
19 3.0906 0.00 0.01 0.00 0.27
20 5.0184 0.00 -0.11 0.00 0.09
21 8.0276 0.00 -0.01 0.00 -0.01
22 8.0277 0.00 0.06 0.00 -0.05
23 8.0279 0.00 -0.05 0.00 -0.03
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.
13RE124 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 122.755 122.755 122.756 ecceobj 0.674 0.674 0.674 incobj 31.620 31.620 31.620 qmin 37.856 37.863 37.916 qmax 211.266 211.254 210.861 amean 121.106 121.106 121.111 amin 118.785 118.783 118.862 amax 125.172 125.111 125.058 emean 0.671 0.671 0.671 emin 0.659 0.659 0.659 emax 0.689 0.689 0.688 imean 30.940 30.940 30.942 imin 29.814 29.822 29.851 imax 31.770 31.770 31.770 excite_mean 0.845 0.845 0.845 fracstop 1.000 1.000 1.000 cjmean 2.800 2.800 2.800 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 204.2 204.2 204.2 kozaiamp 43.9 43.9 43.8