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: 13RJ124 # Created Wed Dec 25 02:09:27 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 21 observations of 21 # Arc: 7.03y # First observation: 2013/09/10 # Last observation: 2020/09/21 # Chi-squared of fit: 6.79 DOF: 36 RMS: 0.10 # Min/Max residuals: -0.23 0.26 # Exact a, adot, b, bdot, g, gdot: 1.501083E-05 2.126085E-02 -2.068028E-07 -8.566369E-05 2.284812E-02 1.466840E-03 # Covariance matrix: 3.6164E-13 -1.2142E-13 -1.0969E-15 5.5393E-16 1.7830E-13 -5.0151E-13 -1.2142E-13 1.2893E-13 4.1112E-16 -5.1450E-16 4.7756E-14 8.2174E-13 -1.0969E-15 4.1112E-16 1.5612E-13 -3.9956E-14 -9.8743E-16 2.4879E-15 5.5393E-16 -5.1450E-16 -3.9956E-14 1.8583E-14 3.3089E-17 -3.7054E-15 1.7830E-13 4.7756E-14 -9.8743E-16 3.3089E-17 3.3434E-13 5.1003E-13 -5.0151E-13 8.2174E-13 2.4879E-15 -3.7054E-15 5.1003E-13 6.1953E-12 # lat0 lon0 xBary yBary zBary JD0 -4.115591 17.755295 0.508051 -0.062361 -0.868095 2456545.854968 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 102.99339 +/- 0.094 Argument of Peri: 156.63625 +/- 0.083 Long of Asc Node: 111.20036 +/- 0.005 Inclination: 4.04545 +/- 0.000 Eccentricity: 0.05733629 +/- 0.0001 Semi-Major Axis: 43.93813487 +/- 0.0042 Time of Perihelion: 2426111.8923 +/- 28.1 Perihelion: 41.41888511 +/- 0.0062 Aphelion: 46.45738463 +/- 0.0065 Period (y) 291.2531 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.55835887 +/- 0.0011 Ecliptic Y 13.09716743 +/- 0.0003 Ecliptic Z -3.14116108 +/- 0.0001 Ecliptic XDOT -0.00061683 +/- 0.0000 Ecliptic YDOT 0.00247838 +/- 0.0000 Ecliptic ZDOT -0.00002271 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.63869881 +/- 0.0010 Geocenter to KBO 43.76725439 +/- 0.0011 # Hcoef: 6.25
The following table shows the complete astrometric record for 13RJ124. 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 (13RJ124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.35419 01 11 46.506 +03 09 39.96 23.9g 13RJ124 W84 C~4yQs 2013 09 10.35559 01 11 46.51 +03 09 40.0 22.5r 13RJ124 W84 C~3clA 2013 09 10.35696 01 11 46.496 +03 09 39.91 22.3i 13RJ124 W84 C~4yQs 2013 11 22.15247 01 07 00.794 +02 41 08.46 22.4i 13RJ124 W84 C~4yQs 2013 11 22.15385 01 07 00.770 +02 41 08.05 22.7z 13RJ124 W84 C~4yQs 2014 10 29.22470 01 12 59.150 +03 16 16.10 22.6r 13RJ124 W84 C~4yQs 2014 10 29.22605 01 12 59.146 +03 16 16.09 22.8i 13RJ124 W84 C~4yQs 2014 11 15.07745 01 11 54.897 +03 10 29.13 22.6r 13RJ124 W84 C~4yQs 2014 11 17.07820 01 11 48.061 +03 09 54.46 22.5z 13RJ124 W84 C~4yQs 2014 11 27.07245 01 11 17.256 +03 07 27.31 22.0z 13RJ124 W84 C~4yQs 2015 11 07.11459 01 16 55.362 +03 40 24.10 22.1i 13RJ124 W84 C~4yQs 2015 11 07.11595 01 16 55.358 +03 40 23.99 22.7r 13RJ124 W84 C~4yQs 2015 11 07.11732 01 16 55.338 +03 40 24.20 23.7g 13RJ124 W84 C~4yQs 2016 08 26.33786 01 26 01.057 +04 36 30.69 22.4i 13RJ124 W84 C~4yQs 2016 08 26.33924 01 26 01.051 +04 36 30.53 22.7r 13RJ124 W84 C~4yQs 2016 08 31.36101 01 25 47.699 +04 34 49.43 23.4g 13RJ124 W84 C~4yQs 2016 10 29.19725 01 21 58.315 +04 10 32.84 23.1g 13RJ124 W84 C~4yQs 2016 11 05.15757 01 21 30.051 +04 07 57.31 23.0r 13RJ124 W84 C~4yQs 2016 11 05.15895 01 21 30.035 +04 07 57.16 22.3i 13RJ124 W84 C~4yQs 2020 09 21.422790 01 42 34.529 +06 13 05.46 22.6G 13RJ124 G37 C~49w5 2020 09 21.459990 01 42 34.382 +06 13 04.54 13RJ124 G37 C~49w5
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 -0.07 0.00 0.00
2 0.0000 0.00 0.07 0.00 0.08
3 0.0000 0.00 -0.07 0.00 0.02
4 0.1993 0.00 0.14 0.00 0.17
5 0.1993 0.00 -0.16 0.00 -0.23
6 1.1331 0.00 0.01 0.00 0.03
7 1.1331 0.00 0.03 0.00 0.05
8 1.1793 0.00 -0.02 0.00 0.01
9 1.1847 0.00 -0.05 0.00 -0.11
10 1.2121 0.00 0.12 0.00 -0.04
11 2.1568 0.00 0.11 0.00 0.00
12 2.1568 0.00 0.13 0.00 -0.08
13 2.1568 0.00 -0.09 0.00 0.16
14 2.9596 0.00 0.05 0.00 -0.08
15 2.9596 0.00 0.02 0.00 -0.22
16 2.9733 0.00 -0.00 0.00 0.26
17 3.1344 0.00 -0.12 0.00 0.03
18 3.1535 0.00 0.07 0.00 0.03
19 3.1535 0.00 -0.09 0.00 -0.09
20 7.0310 0.00 0.06 0.00 0.03
21 7.0311 0.00 -0.05 0.00 -0.00
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.
13RJ124 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.187 44.187 44.186 ecceobj 0.058 0.058 0.058 incobj 4.045 4.045 4.045 qmin 40.757 40.756 40.758 qmax 47.332 47.319 47.314 amean 43.926 43.926 43.926 amin 43.576 43.583 43.574 amax 44.300 44.294 44.284 emean 0.052 0.052 0.052 emin 0.035 0.036 0.036 emax 0.069 0.069 0.069 imean 2.487 2.487 2.487 imin 1.823 1.823 1.823 imax 3.150 3.150 3.150 excite_mean 0.068 0.068 0.068 fracstop 1.000 1.000 1.000 cjmean 3.095 3.095 3.095 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 180.5 180.5 180.6 kozaiamp 180.0 180.0 180.0