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: 13RA109 # Created Tue Jan 21 02:09:40 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 10.96y # First observation: 2013/09/12 # Last observation: 2024/08/27 # Chi-squared of fit: 12.23 DOF: 48 RMS: 0.12 # Min/Max residuals: -0.43 0.22 # Exact a, adot, b, bdot, g, gdot: 2.016842E-05 2.787454E-02 5.962488E-07 3.753841E-04 2.199063E-02 2.577320E-03 # Covariance matrix: 2.5925E-13 -6.0834E-14 1.1621E-15 -8.2751E-16 1.1802E-13 -1.2451E-13 -6.0834E-14 5.9653E-14 -6.5014E-16 5.3881E-16 6.5964E-14 2.0963E-13 1.1621E-15 -6.5014E-16 1.4001E-13 -2.9309E-14 3.4183E-16 -2.6831E-15 -8.2751E-16 5.3881E-16 -2.9309E-14 1.0104E-14 -6.4625E-17 2.2358E-15 1.1802E-13 6.5964E-14 3.4183E-16 -6.4625E-17 3.4591E-13 2.9336E-13 -1.2451E-13 2.0963E-13 -2.6831E-15 2.2358E-15 2.9336E-13 8.8754E-13 # lat0 lon0 xBary yBary zBary JD0 -12.623587 18.288912 0.485658 -0.192721 -0.861008 2456547.889428 # Heliocentric elements and errors Epoch: 2456548.5000 = 2013/09/13 Mean Anomaly: 0.21151 +/- 0.000 Argument of Peri: 263.05350 +/- 0.004 Long of Asc Node: 104.89273 +/- 0.001 Inclination: 12.39854 +/- 0.000 Eccentricity: 0.90336381 +/- 0.0001 Semi-Major Axis: 476.28092989 +/- 0.6775 Time of Perihelion: 2454317.8990 +/- 6.8 Perihelion: 46.02597681 +/- 0.0917 Aphelion: 906.53588298 +/- 1.2911 Period (y) 10394.4854 +/- 22.18 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.12268955 +/- 0.0011 Ecliptic Y 13.74424762 +/- 0.0004 Ecliptic Z -9.93809692 +/- 0.0003 Ecliptic XDOT -0.00078822 +/- 0.0000 Ecliptic YDOT 0.00339539 +/- 0.0000 Ecliptic ZDOT -0.00002438 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.33820995 +/- 0.0011 Geocenter to KBO 45.47384989 +/- 0.0012 # Hcoef: 6.09
The following table shows the complete astrometric record for 13RA109. 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 (13RA109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 12.38865 01 26 37.408 -04 30 50.38 22.8g 13RA109 W84 C~4yQo 2013 10 02.28369 01 25 28.615 -04 39 39.49 23.1g 13RA109 W84 C~4yQo 2013 10 02.28508 01 25 28.611 -04 39 39.59 22.2r 13RA109 W84 C~4yQo 2013 10 04.19728 01 25 21.396 -04 40 27.81 23.1g 13RA109 W84 C~4yQo 2014 10 02.33135 01 31 23.054 -04 02 03.64 22.6r 13RA109 W84 C~4yQo 2014 10 03.276817 01 31 19.50 -04 02 27.5 23.1g 13RA109 W84 C~352C 2014 10 03.27734 01 31 19.515 -04 02 27.56 23.3g 13RA109 W84 C~4yQo 2014 10 29.25836 01 29 39.355 -04 11 53.53 23.0i 13RA109 W84 C~4yQo 2014 10 29.25974 01 29 39.347 -04 11 53.54 22.6r 13RA109 W84 C~4yQo 2014 11 21.10696 01 28 20.000 -04 16 28.80 23.0i 13RA109 W84 C~4yQo 2015 11 01.20841 01 35 20.178 -03 35 16.01 23.0i 13RA109 W84 C~4yQo 2015 12 18.08041 01 33 07.878 -03 38 59.59 22.7z 13RA109 W84 C~4yQo 2016 08 26.35056 01 44 46.542 -02 31 48.54 22.3r 13RA109 W84 C~4yQo 2016 08 29.34806 01 44 40.738 -02 33 00.38 23.4g 13RA109 W84 C~4yQo 2016 11 07.14643 01 40 43.469 -02 59 42.22 22.9i 13RA109 W84 C~4yQo 2016 11 25.098102 01 39 43.44 -03 02 35.5 23.1g 13RA109 W84 C~352C 2016 11 25.09863 01 39 43.461 -03 02 35.63 23.1g 13RA109 W84 C~4yQo 2016 11 28.16398 01 39 34.664 -03 02 48.65 22.4i 13RA109 W84 C~4yQo 2017 10 29.24970 01 47 03.483 -02 20 05.77 23.1z 13RA109 W84 C~4yQo 2017 11 18.12808 01 45 50.854 -02 24 42.42 22.5r 13RA109 W84 C~4yQo 2017 11 18.12945 01 45 50.845 -02 24 42.46 22.8g 13RA109 W84 C~4yQo 2018 09 09.39007 01 55 40.353 -01 23 32.58 22.2z 13RA109 W84 C~4yQo 2018 10 10.30910 01 54 00.497 -01 36 19.78 22.5i 13RA109 W84 C~4yQo 2018 10 10.31048 01 54 00.484 -01 36 19.75 23.6g 13RA109 W84 C~4yQo 2018 10 19.28680 01 53 26.097 -01 39 41.86 22.1z 13RA109 W84 C~4yQo 2018 11 07.22111 01 52 13.107 -01 45 29.69 23.1r 13RA109 W84 C~4yQo 2024 08 27.56377 02 29 02.82 +02 15 08.1 13RA109 T15 C~8SOy
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 -0.07
2 0.0545 0.00 0.01 0.00 0.05
3 0.0545 0.00 0.03 0.00 -0.01
4 0.0597 0.00 0.04 0.00 -0.01
5 1.0539 0.00 0.04 0.00 -0.05
6 1.0565 0.00 -0.43 0.00 -0.00
7 1.0565 0.00 -0.17 0.00 -0.05
8 1.1276 0.00 0.13 0.00 0.06
9 1.1276 0.00 0.09 0.00 0.07
10 1.1902 0.00 0.08 0.00 0.08
11 2.1350 0.00 -0.08 0.00 0.10
12 2.2634 0.00 0.18 0.00 -0.01
13 2.9540 0.00 0.06 0.00 -0.00
14 2.9622 0.00 0.22 0.00 0.10
15 3.1533 0.00 0.12 0.00 0.05
16 3.2025 0.00 -0.39 0.00 0.17
17 3.2025 0.00 -0.05 0.00 0.05
18 3.2109 0.00 0.10 0.00 -0.04
19 4.1283 0.00 0.11 0.00 -0.00
20 4.1827 0.00 0.06 0.00 -0.09
21 4.1827 0.00 -0.01 0.00 -0.11
22 4.9911 0.00 0.05 0.00 0.02
23 5.0758 0.00 0.06 0.00 -0.07
24 5.0758 0.00 -0.06 0.00 -0.01
25 5.1003 0.00 -0.13 0.00 -0.15
26 5.1522 0.00 0.12 0.00 -0.12
27 10.9574 0.00 -0.06 0.00 0.13
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.
13RA109 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 520.668 520.657 520.679 ecceobj 0.912 0.912 0.912 incobj 12.401 12.401 12.401 qmin 41.406 41.410 41.404 qmax 995.327 1013.299 1001.668 amean 459.827 467.986 462.428 amin 426.169 433.944 428.889 amax 520.667 529.652 523.841 emean 0.900 0.902 0.900 emin 0.889 0.890 0.890 emax 0.912 0.913 0.912 imean 10.821 10.815 10.820 imin 10.672 10.671 10.676 imax 10.971 10.972 10.971 excite_mean 0.919 0.921 0.920 fracstop 1.000 1.000 1.000 cjmean 3.415 3.415 3.415 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 267.9 268.8 267.2 kozaiamp 7.6 8.2 6.6