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: 13UE31 # Created Sun Dec 22 02:09:49 2024 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 3.98y # First observation: 2013/10/30 # Last observation: 2017/10/22 Preliminary a, adot, b, bdot, g, gdot: 0.000051 0.025014 0.000249 0.013685 0.027109 0.000000 # Chi-squared of fit: 1.92 DOF: 44 RMS: 0.05 # Min/Max residuals: -0.12 0.11 # Exact a, adot, b, bdot, g, gdot: 1.502573E-05 2.490734E-02 8.436538E-06 1.358834E-02 2.585189E-02 1.974710E-03 # Covariance matrix: 6.8911E-13 -6.9256E-13 1.7562E-13 -3.0947E-13 -3.7979E-13 -5.3481E-12 -6.9256E-13 8.8419E-13 -2.9782E-13 4.1681E-13 2.1425E-13 7.2277E-12 1.7562E-13 -2.9782E-13 3.6281E-13 -2.0572E-13 2.4183E-13 -2.4688E-12 -3.0947E-13 4.1681E-13 -2.0572E-13 2.3381E-13 1.2745E-13 3.5309E-12 -3.7979E-13 2.1425E-13 2.4183E-13 1.2745E-13 1.6804E-12 2.0772E-12 -5.3481E-12 7.2277E-12 -2.4688E-12 3.5309E-12 2.0772E-12 6.1206E-11 # lat0 lon0 xBary yBary zBary JD0 -26.520795 -57.073349 -0.990286 0.027373 0.054591 2456595.554458 # Heliocentric elements and errors Epoch: 2456590.5000 = 2013/10/25 Mean Anomaly: 21.29365 +/- 0.047 Argument of Peri: 282.39629 +/- 0.076 Long of Asc Node: 342.93841 +/- 0.000 Inclination: 38.83789 +/- 0.000 Eccentricity: 0.20113319 +/- 0.0003 Semi-Major Axis: 47.12481446 +/- 0.0134 Time of Perihelion: 2449601.4113 +/- 15.2 Perihelion: 37.64645017 +/- 0.0161 Aphelion: 56.60317875 +/- 0.0200 Period (y) 323.5063 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 19.61157383 +/- 0.0010 Ecliptic Y -28.45960083 +/- 0.0014 Ecliptic Z -17.27207721 +/- 0.0009 Ecliptic XDOT 0.00265893 +/- 0.0000 Ecliptic YDOT 0.00073579 +/- 0.0000 Ecliptic ZDOT 0.00119441 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.63790054 +/- 0.0012 Geocenter to KBO 38.68188648 +/- 0.0019 # Hcoef: 6.37
The following table shows the complete astrometric record for 13UE31. 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 (13UE31) followed by the observatory code and reference code for the source of the astrometry.
2013 10 30.05368 20 54 14.38 -45 06 24.6 22.1g 13UE31 W84 C~3clT 2014 09 03.07976 21 03 39.641 -44 27 04.21 22.2i 13UE31 W84 C~4yRL 2014 09 20.01156 21 02 03.948 -44 21 51.81 23.0g 13UE31 W84 C~4yRL 2014 09 24.04467 21 01 45.112 -44 20 02.86 22.4r 13UE31 W84 C~4yRL 2014 09 24.04606 21 01 45.093 -44 20 02.81 22.3i 13UE31 W84 C~4yRL 2014 09 24.04744 21 01 45.092 -44 20 02.79 22.7g 13UE31 W84 C~4yRL 2014 09 26.00791 21 01 36.579 -44 19 05.10 21.9i 13UE31 W84 C~4yRL 2014 09 27.01007 21 01 32.402 -44 18 34.50 21.4i 13UE31 W84 C~4yRL 2014 10 19.08624 21 00 31.495 -44 04 21.96 22.1r 13UE31 W84 C~4yRL 2014 10 21.04154 21 00 29.188 -44 02 51.73 22.1z 13UE31 W84 C~4yRL 2014 10 22.01971 21 00 28.242 -44 02 05.78 22.4r 13UE31 W84 C~4yRL 2014 10 22.04276 21 00 28.216 -44 02 04.68 22.4z 13UE31 W84 C~4yRL 2015 09 13.08413 21 08 42.322 -43 10 42.56 22.0i 13UE31 W84 C~4yRL 2015 09 13.08833 21 08 42.294 -43 10 42.58 21.9i 13UE31 W84 C~4yRL 2016 08 23.23708 21 16 32.276 -41 58 14.61 22.1z 13UE31 W84 C~4yRL 2016 09 23.01284 21 13 32.682 -41 52 39.47 23.1g 13UE31 W84 C~4yRL 2016 09 25.00654 21 13 23.652 -41 51 51.51 22.0i 13UE31 W84 C~4yRL 2017 09 08.06989 21 20 23.453 -40 41 31.17 22.1z 13UE31 W84 C~4yRL 2017 09 12.08775 21 20 00.412 -40 40 49.21 22.2r 13UE31 W84 C~4yRL 2017 09 12.08912 21 20 00.390 -40 40 49.22 22.9g 13UE31 W84 C~4yRL 2017 10 11.05857 21 17 56.053 -40 29 31.92 22.4r 13UE31 W84 C~4yRL 2017 10 11.05995 21 17 56.051 -40 29 31.89 22.4i 13UE31 W84 C~4yRL 2017 10 11.06131 21 17 56.047 -40 29 31.78 23.2g 13UE31 W84 C~4yRL 2017 10 13.09442 21 17 50.660 -40 28 21.15 22.5z 13UE31 W84 C~4yRL 2017 10 22.00581 21 17 33.044 -40 22 39.73 22.0z 13UE31 W84 C~4yRL
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 0.04 0.00 -0.03
2 0.8433 6459.28 -0.01 309.42 -0.04
3 0.8897 5594.67 0.02 944.28 -0.01
4 0.9007 5439.56 0.04 1113.64 -0.06
5 0.9007 5439.38 -0.08 1113.75 -0.01
6 0.9007 5439.38 -0.03 1113.77 -0.04
7 0.9061 5371.96 -0.00 1198.26 0.02
8 0.9088 5339.62 0.11 1241.88 -0.01
9 0.9693 4998.26 0.00 2261.80 0.04
10 0.9746 5004.04 -0.07 2355.25 0.04
11 0.9773 5009.32 0.00 2402.05 0.02
12 0.9774 5009.41 -0.02 2403.18 0.04
13 1.8700 11110.37 0.01 3504.08 0.08
14 1.8700 11110.08 -0.07 3504.17 0.01
15 2.8150 17550.21 0.02 5711.70 0.02
16 2.8993 15795.84 0.05 6758.00 -0.00
17 2.9047 15718.69 0.04 6839.35 -0.09
18 3.8577 21734.32 -0.12 9031.50 0.02
19 3.8687 21505.29 0.09 9170.12 -0.07
20 3.8687 21505.05 -0.07 9170.21 -0.03
21 3.9480 20437.20 -0.02 10335.70 -0.01
22 3.9480 20437.19 -0.00 10335.74 -0.04
23 3.9480 20437.19 0.02 10335.86 0.02
24 3.9536 20406.33 -0.01 10424.87 0.01
25 3.9780 20346.87 0.09 10819.40 0.10
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.
13UE31 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 47.140 47.182 47.098 ecceobj 0.201 0.202 0.200 incobj 38.788 38.788 38.788 qmin 37.144 37.086 37.143 qmax 58.061 58.164 57.890 amean 47.360 47.393 47.318 amin 46.960 46.980 46.914 amax 47.834 47.895 47.782 emean 0.193 0.193 0.193 emin 0.174 0.173 0.175 emax 0.214 0.216 0.213 imean 39.850 39.856 39.837 imin 39.487 39.486 39.493 imax 40.233 40.230 40.190 excite_mean 0.669 0.669 0.669 fracstop 1.000 1.000 1.000 cjmean 2.524 2.524 2.524 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 200.0 195.9 203.7 kozaiamp 180.0 180.0 180.0