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: 13RU124 # Created Fri Apr 26 01:14:53 2024 # Orbit generated from Bernstein formalism # Fitting 29 observations of 29 # Arc: 4.14y # First observation: 2013/09/10 # Last observation: 2017/11/01 Preliminary a, adot, b, bdot, g, gdot: -0.000074 0.020542 0.000137 -0.010703 0.023744 0.000000 # Chi-squared of fit: 8.76 DOF: 52 RMS: 0.10 # Min/Max residuals: -0.19 0.33 # Exact a, adot, b, bdot, g, gdot: 1.414354E-05 2.008961E-02 -7.237251E-06 -1.044097E-02 2.326686E-02 -5.000003E-03 # Covariance matrix: 2.0660E-13 -9.4849E-14 -1.3462E-14 2.8567E-14 2.9313E-14 -7.0735E-13 -9.4849E-14 2.5063E-13 8.4036E-14 -1.3689E-13 2.2903E-13 3.3533E-12 -1.3462E-14 8.4036E-14 2.0530E-13 -1.1836E-13 8.5181E-14 1.3147E-12 2.8567E-14 -1.3689E-13 -1.1836E-13 1.2346E-13 -1.2514E-13 -2.1953E-12 2.9313E-14 2.2903E-13 8.5181E-14 -1.2514E-13 3.6762E-13 3.0497E-12 -7.0735E-13 3.3533E-12 1.3147E-12 -2.1953E-12 3.0497E-12 5.3838E-11 # lat0 lon0 xBary yBary zBary JD0 -16.009825 36.538070 0.760833 -0.182158 -0.635225 2456545.888698 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 306.72242 +/- 0.019 Argument of Peri: 292.03588 +/- 0.018 Long of Asc Node: 188.23897 +/- 0.001 Inclination: 31.64931 +/- 0.000 Eccentricity: 0.25387813 +/- 0.0003 Semi-Major Axis: 48.51167954 +/- 0.0103 Time of Perihelion: 2474805.0873 +/- 3.3 Perihelion: 36.19562522 +/- 0.0181 Aphelion: 60.82773385 +/- 0.0209 Period (y) 337.8918 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.17626831 +/- 0.0009 Ecliptic Y 24.38076835 +/- 0.0006 Ecliptic Z -11.85418835 +/- 0.0003 Ecliptic XDOT -0.00214023 +/- 0.0000 Ecliptic YDOT 0.00135977 +/- 0.0000 Ecliptic ZDOT -0.00101855 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.62294078 +/- 0.0008 Geocenter to KBO 42.97958200 +/- 0.0011 # Hcoef: 6.79
The following table shows the complete astrometric record for 13RU124. 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 (13RU124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.38792 02 37 40.016 -01 27 21.63 23.7g 13RU124 W84 C~4yQt 2013 09 10.38792 02 37 40.02 -01 27 21.6 23.9g 13RU124 W84 C~3clA 2013 10 29.15647 02 34 43.434 -01 55 06.66 24.1g 13RU124 W84 C~4yQt 2013 11 13.15868 02 33 36.661 -02 01 30.36 22.2z 13RU124 W84 C~4yQt 2013 11 13.15868 02 33 36.66 -02 01 30.4 22.3z 13RU124 W84 C~3clA 2014 09 24.31584 02 42 13.143 -01 47 38.27 23.2r 13RU124 W84 C~4yQt 2014 09 24.31584 02 42 13.14 -01 47 38.3 23.2r 13RU124 W84 C~3clA 2014 09 30.28134 02 41 53.426 -01 51 15.00 22.9i 13RU124 W84 C~4yQt 2014 09 30.28134 02 41 53.43 -01 51 14.9 23.3i 13RU124 W84 C~3clA 2014 09 30.28271 02 41 53.426 -01 51 15.07 23.2r 13RU124 W84 C~4yQt 2014 09 30.28271 02 41 53.43 -01 51 15.1 23.3r 13RU124 W84 C~3clA 2014 10 03.32170 02 41 42.613 -01 53 04.31 23.4i 13RU124 W84 C~4yQt 2014 10 03.32170 02 41 42.61 -01 53 04.3 23.6i 13RU124 W84 C~3clA 2015 12 05.20075 02 42 30.142 -02 32 06.67 22.9i 13RU124 W84 C~4yQt 2015 12 05.20075 02 42 30.14 -02 32 06.7 23.0i 13RU124 W84 C~3clA 2015 12 05.20212 02 42 30.134 -02 32 06.38 22.6r 13RU124 W84 C~4yQt 2015 12 05.20212 02 42 30.14 -02 32 06.4 22.8r 13RU124 W84 C~3clA 2015 12 05.20349 02 42 30.140 -02 32 06.48 23.5g 13RU124 W84 C~4yQt 2015 12 05.20349 02 42 30.14 -02 32 06.4 23.8g 13RU124 W84 C~3clA 2016 09 23.29999 02 52 44.828 -02 11 46.60 22.9i 13RU124 W84 C~4yQt 2016 09 23.29999 02 52 44.83 -02 11 46.6 23.1i 13RU124 W84 C~3clA 2016 09 24.29987 02 52 41.823 -02 12 24.10 23.3r 13RU124 W84 C~4yQt 2016 09 25.27102 02 52 38.841 -02 13 00.06 23.1g 13RU124 W84 C~4yQt 2016 11 29.20823 02 48 06.831 -02 43 38.85 23.1r 13RU124 W84 C~4yQt 2016 12 05.20580 02 47 42.730 -02 44 46.26 23.1g 13RU124 W84 C~4yQt 2016 12 05.20580 02 47 42.73 -02 44 46.3 23.4g 13RU124 W84 C~3clA 2016 12 23.15168 02 46 42.069 -02 45 51.59 22.8i 13RU124 W84 C~4yQt 2016 12 23.15168 02 46 42.07 -02 45 51.6 23.2i 13RU124 W84 C~3clA 2017 11 01.20361 02 55 33.529 -02 46 15.84 22.6z 13RU124 W84 C~4yQt
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 -0.10 0.00 0.03
2 0.0000 0.07 -0.03 0.01 0.04
3 0.1335 -3041.04 0.11 -731.82 0.33
4 0.1746 -4112.52 -0.01 -775.92 -0.17
5 0.1746 -4112.49 0.02 -775.89 -0.13
6 1.0374 3491.14 -0.01 -2463.36 -0.02
7 1.0374 3491.19 0.04 -2463.35 -0.00
8 1.0538 3141.74 0.06 -2573.93 0.07
9 1.0538 3141.65 -0.03 -2574.00 -0.01
10 1.0538 3141.67 0.08 -2574.12 -0.10
11 1.0538 3141.62 0.03 -2574.07 -0.05
12 1.0621 2952.98 -0.01 -2625.62 -0.02
13 1.0621 2953.02 0.03 -2625.65 -0.04
14 2.2336 2877.91 -0.19 -5073.92 -0.18
15 2.2336 2877.95 -0.15 -5073.90 -0.16
16 2.2336 2878.01 -0.01 -5073.64 0.09
17 2.2336 2877.93 -0.09 -5073.59 0.14
18 2.2336 2878.01 0.07 -5073.64 0.08
19 2.2336 2877.98 0.04 -5073.71 0.00
20 3.0360 12012.57 0.15 -6883.98 0.06
21 3.0360 12012.55 0.12 -6883.97 0.07
22 3.0388 11957.64 -0.09 -6904.99 -0.09
23 3.0414 11903.56 -0.19 -6924.66 0.17
24 3.2192 7440.19 -0.06 -7352.70 -0.00
25 3.2356 7075.85 0.04 -7300.24 -0.09
26 3.2356 7075.86 0.06 -7300.20 -0.05
27 3.2848 6192.60 0.10 -7069.31 0.02
28 3.2848 6192.58 0.08 -7069.30 0.04
29 4.1419 13751.22 -0.03 -9669.24 -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.
13RU124 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 48.660 48.687 48.634 ecceobj 0.252 0.253 0.251 incobj 31.554 31.553 31.554 qmin 35.638 35.574 35.655 qmax 61.579 61.579 61.473 amean 48.308 48.332 48.281 amin 47.851 47.881 47.816 amax 48.859 48.855 48.837 emean 0.241 0.241 0.239 emin 0.221 0.223 0.219 emax 0.261 0.261 0.260 imean 31.774 31.770 31.787 imin 31.285 31.278 31.306 imax 32.274 32.278 32.293 excite_mean 0.579 0.579 0.579 fracstop 1.000 1.000 1.000 cjmean 2.714 2.713 2.714 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 173.1 172.6 173.9 kozaiamp 179.9 180.0 180.0