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: 13RW124 # Created Sun Dec 22 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 10.26y # First observation: 2013/09/02 # Last observation: 2023/12/07 # Chi-squared of fit: 10.38 DOF: 48 RMS: 0.11 # Min/Max residuals: -0.27 0.31 # Exact a, adot, b, bdot, g, gdot: 1.749575E-05 3.286903E-02 5.455199E-07 6.754786E-04 2.981158E-02 1.608870E-03 # Covariance matrix: 2.4952E-13 -8.4237E-14 3.6951E-15 -2.2744E-15 1.1859E-13 -2.5823E-13 -8.4237E-14 5.7900E-14 -1.7580E-15 1.3425E-15 -3.9739E-15 1.7709E-13 3.6951E-15 -1.7580E-15 1.0759E-13 -1.7917E-14 3.0092E-15 -6.8018E-15 -2.2744E-15 1.3425E-15 -1.7917E-14 5.9917E-15 -1.2116E-15 4.8888E-15 1.1859E-13 -3.9739E-15 3.0092E-15 -1.2116E-15 2.2553E-13 -7.6921E-14 -2.5823E-13 1.7709E-13 -6.8018E-15 4.8888E-15 -7.6921E-14 6.2155E-13 # lat0 lon0 xBary yBary zBary JD0 -4.796634 16.658465 0.606852 -0.067423 -0.804596 2456537.860308 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 23.87233 +/- 0.017 Argument of Peri: 255.69631 +/- 0.019 Long of Asc Node: 92.63301 +/- 0.002 Inclination: 4.80613 +/- 0.000 Eccentricity: 0.06779965 +/- 0.0001 Semi-Major Axis: 36.59292175 +/- 0.0027 Time of Perihelion: 2451177.0004 +/- 3.8 Perihelion: 34.11193455 +/- 0.0032 Aphelion: 39.07390894 +/- 0.0035 Period (y) 221.3624 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.97072343 +/- 0.0005 Ecliptic Y 9.23537190 +/- 0.0001 Ecliptic Z -2.80492516 +/- 0.0000 Ecliptic XDOT -0.00072550 +/- 0.0000 Ecliptic YDOT 0.00293455 +/- 0.0000 Ecliptic ZDOT 0.00004960 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.35443390 +/- 0.0005 Geocenter to KBO 33.54401115 +/- 0.0005 # Hcoef: 7.44
The following table shows the complete astrometric record for 13RW124. 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 (13RW124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.35953 01 08 45.77 +02 06 55.1 23.7g 13RW124 W84 C~3clA 2013 09 09.25122 01 08 16.822 +02 03 23.82 23.1g 13RW124 W84 C~4yQt 2013 09 10.35837 01 08 11.875 +02 02 48.51 23.8g 13RW124 W84 C~4yQt 2013 09 10.35978 01 08 11.870 +02 02 48.45 22.9r 13RW124 W84 C~4yQt 2013 09 10.36117 01 08 11.872 +02 02 48.38 22.7i 13RW124 W84 C~4yQt 2013 11 08.16968 01 03 10.344 +01 32 13.61 23.5g 13RW124 W84 C~4yQt 2013 11 08.19405 01 03 10.236 +01 32 12.96 23.0r 13RW124 W84 C~4yQt 2014 10 28.21151 01 11 00.891 +02 22 26.03 22.6r 13RW124 W84 C~4yQt 2014 10 29.22470 01 10 55.637 +02 21 57.41 22.8r 13RW124 W84 C~4yQt 2014 10 29.22605 01 10 55.628 +02 21 57.30 22.4i 13RW124 W84 C~4yQt 2014 11 13.08363 01 09 43.785 +02 15 44.30 23.0g 13RW124 W84 C~4yQt 2015 10 17.17099 01 18 56.726 +03 13 17.07 22.4r 13RW124 W84 C~4yQt 2016 08 31.35962 01 29 31.533 +04 21 56.04 23.5g 13RW124 W84 C~4yQt 2016 10 23.21697 01 25 14.804 +03 54 36.92 22.6g 13RW124 W84 C~4yQt 2016 10 29.15875 01 24 42.963 +03 51 41.40 22.2i 13RW124 W84 C~4yQt 2016 10 29.19725 01 24 42.763 +03 51 40.34 23.7g 13RW124 W84 C~4yQt 2016 11 05.15757 01 24 06.738 +03 48 29.36 22.6r 13RW124 W84 C~4yQt 2016 11 05.15895 01 24 06.729 +03 48 29.32 22.7i 13RW124 W84 C~4yQt 2016 11 07.18357 01 23 56.593 +03 47 37.28 22.8z 13RW124 W84 C~4yQt 2017 08 22.38782 01 36 49.624 +05 09 27.42 22.9r 13RW124 W84 C~4yQt 2017 08 22.38920 01 36 49.621 +05 09 27.49 22.4i 13RW124 W84 C~4yQt 2017 08 22.39057 01 36 49.621 +05 09 27.46 23.5g 13RW124 W84 C~4yQt 2017 08 27.39145 01 36 36.105 +05 07 36.37 22.7z 13RW124 W84 C~4yQt 2017 09 14.30264 01 35 30.574 +04 59 40.01 21.6z 13RW124 W84 C~4yQt 2023 12 07.102740 02 09 57.666 +08 40 27.08 22.6G 13RW124 G37 C~7dIE 2023 12 07.153390 02 09 57.433 +08 40 26.12 13RW124 G37 C~7dIE 2023 12 07.205310 02 09 57.209 +08 40 25.46 13RW124 G37 C~7dIE
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 0.00 0.00 -0.04
2 0.0189 0.00 -0.06 0.00 0.18
3 0.0219 0.00 -0.09 0.00 -0.00
4 0.0219 0.00 -0.07 0.00 -0.02
5 0.0219 0.00 0.05 0.00 -0.04
6 0.1829 0.00 0.00 0.00 0.05
7 0.1830 0.00 0.10 0.00 -0.03
8 1.1522 0.00 0.09 0.00 -0.07
9 1.1550 0.00 0.02 0.00 0.10
10 1.1550 0.00 -0.01 0.00 0.03
11 1.1957 0.00 -0.08 0.00 0.08
12 2.1213 0.00 -0.01 0.00 -0.23
13 2.9952 0.00 0.10 0.00 0.19
14 3.1399 0.00 0.12 0.00 0.03
15 3.1562 0.00 -0.02 0.00 -0.05
16 3.1563 0.00 0.09 0.00 -0.01
17 3.1754 0.00 -0.00 0.00 -0.03
18 3.1754 0.00 -0.03 0.00 -0.03
19 3.1809 0.00 -0.18 0.00 0.01
20 3.9700 0.00 -0.11 0.00 -0.09
21 3.9700 0.00 -0.10 0.00 0.01
22 3.9700 0.00 -0.05 0.00 0.01
23 3.9837 0.00 0.06 0.00 -0.20
24 4.0327 0.00 0.31 0.00 0.12
25 10.2608 0.00 0.29 0.00 0.12
26 10.2609 0.00 -0.09 0.00 -0.09
27 10.2610 0.00 -0.27 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.
13RW124 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.777 36.777 36.777 ecceobj 0.073 0.073 0.073 incobj 4.809 4.809 4.809 qmin 33.447 33.447 33.448 qmax 39.835 39.836 39.834 amean 36.485 36.485 36.485 amin 36.127 36.126 36.127 amax 36.859 36.859 36.859 emean 0.061 0.061 0.061 emin 0.038 0.038 0.038 emax 0.082 0.082 0.082 imean 4.429 4.429 4.429 imin 2.616 2.616 2.616 imax 5.999 5.999 5.999 excite_mean 0.099 0.099 0.099 fracstop 1.000 1.000 1.000 cjmean 3.016 3.016 3.016 libcent 0 179.2 179.3 179.2 libamp 0 83.8 83.8 83.8 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 180.4 180.4 180.5 kozaiamp 180.0 180.0 180.0