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 Wed Dec 4 02:09:26 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 37 observations of 37 # Arc: 5.15y # First observation: 2013/09/12 # Last observation: 2018/11/07 # Chi-squared of fit: 14.05 DOF: 68 RMS: 0.11 # Min/Max residuals: -0.47 0.19 # Exact a, adot, b, bdot, g, gdot: 2.029975E-05 2.787469E-02 6.276049E-07 3.753465E-04 2.199079E-02 2.578632E-03 # Covariance matrix: 1.5720E-13 -7.3225E-14 6.8899E-16 -9.1497E-16 4.3475E-14 -3.8058E-13 -7.3225E-14 1.7873E-13 5.3653E-16 1.5709E-15 1.4968E-13 1.2859E-12 6.8899E-16 5.3653E-16 1.0825E-13 -3.0391E-14 2.2866E-15 3.1464E-15 -9.1497E-16 1.5709E-15 -3.0391E-14 1.3563E-14 3.1981E-16 1.2860E-14 4.3475E-14 1.4968E-13 2.2866E-15 3.1981E-16 3.1453E-13 1.0628E-12 -3.8058E-13 1.2859E-12 3.1464E-15 1.2860E-14 1.0628E-12 1.0069E-11 # 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: 0.21165 +/- 0.000 Argument of Peri: 263.04747 +/- 0.014 Long of Asc Node: 104.89316 +/- 0.001 Inclination: 12.39853 +/- 0.000 Eccentricity: 0.90335872 +/- 0.0001 Semi-Major Axis: 476.24869552 +/- 0.5631 Time of Perihelion: 2454316.6404 +/- 6.3 Perihelion: 46.02528355 +/- 0.0764 Aphelion: 906.47210750 +/- 1.0732 Period (y) 10393.4301 +/- 18.43 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.12237793 +/- 0.0011 Ecliptic Y 13.74415091 +/- 0.0004 Ecliptic Z -9.93802240 +/- 0.0003 Ecliptic XDOT -0.00078807 +/- 0.0000 Ecliptic YDOT 0.00339543 +/- 0.0000 Ecliptic ZDOT -0.00002442 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.33787524 +/- 0.0010 Geocenter to KBO 45.47351522 +/- 0.0012 # Hcoef: 6.10
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 09 12.38865 01 26 37.41 -04 30 50.4 23.2g 13RA109 W84 C~3cl7 2013 10 02.28369 01 25 28.615 -04 39 39.49 23.1g 13RA109 W84 C~4yQo 2013 10 02.28369 01 25 28.62 -04 39 39.5 23.2g 13RA109 W84 C~3cl7 2013 10 02.28508 01 25 28.611 -04 39 39.59 22.2r 13RA109 W84 C~4yQo 2013 10 02.28508 01 25 28.61 -04 39 39.6 22.3r 13RA109 W84 C~3cl7 2013 10 04.19728 01 25 21.396 -04 40 27.81 23.1g 13RA109 W84 C~4yQo 2013 10 04.19728 01 25 21.40 -04 40 27.8 23.1g 13RA109 W84 C~3cl7 2014 10 02.33135 01 31 23.054 -04 02 03.64 22.6r 13RA109 W84 C~4yQo 2014 10 02.33135 01 31 23.05 -04 02 03.6 22.6r 13RA109 W84 C~3cl7 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 29.25836 01 29 39.36 -04 11 53.5 23.1i 13RA109 W84 C~3cl7 2014 10 29.25974 01 29 39.347 -04 11 53.54 22.6r 13RA109 W84 C~4yQo 2014 10 29.25974 01 29 39.35 -04 11 53.6 22.8r 13RA109 W84 C~3cl7 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 26.35056 01 44 46.54 -02 31 48.6 22.2r 13RA109 W84 C~3cl7 2016 08 29.34806 01 44 40.738 -02 33 00.38 23.4g 13RA109 W84 C~4yQo 2016 08 29.34806 01 44 40.74 -02 33 00.4 23.3g 13RA109 W84 C~3cl7 2016 11 07.14643 01 40 43.469 -02 59 42.22 22.9i 13RA109 W84 C~4yQo 2016 11 07.14643 01 40 43.47 -02 59 42.2 23.3i 13RA109 W84 C~3cl7 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 2016 11 28.16398 01 39 34.66 -03 02 48.6 22.5i 13RA109 W84 C~3cl7 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
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 -0.02 0.00 -0.09
2 0.0000 0.00 0.01 0.00 -0.11
3 0.0545 0.00 0.07 0.00 0.03
4 0.0545 0.00 -0.01 0.00 0.04
5 0.0545 0.00 -0.00 0.00 -0.04
6 0.0545 0.00 0.01 0.00 -0.03
7 0.0597 0.00 0.02 0.00 -0.02
8 0.0597 0.00 0.08 0.00 -0.01
9 1.0539 0.00 0.00 0.00 -0.06
10 1.0539 0.00 -0.06 0.00 -0.02
11 1.0565 0.00 -0.47 0.00 -0.02
12 1.0565 0.00 -0.21 0.00 -0.06
13 1.1276 0.00 0.18 0.00 0.08
14 1.1276 0.00 0.10 0.00 0.05
15 1.1276 0.00 0.06 0.00 0.06
16 1.1276 0.00 0.11 0.00 0.00
17 1.1902 0.00 0.06 0.00 0.07
18 2.1350 0.00 -0.12 0.00 0.09
19 2.2634 0.00 0.15 0.00 -0.01
20 2.9540 0.00 -0.02 0.00 -0.07
21 2.9540 0.00 0.01 0.00 -0.01
22 2.9622 0.00 0.19 0.00 0.07
23 2.9622 0.00 0.16 0.00 0.09
24 3.1533 0.00 0.09 0.00 0.07
25 3.1533 0.00 0.08 0.00 0.05
26 3.2025 0.00 -0.43 0.00 0.18
27 3.2025 0.00 -0.09 0.00 0.05
28 3.2109 0.00 0.01 0.00 0.01
29 3.2109 0.00 0.07 0.00 -0.04
30 4.1283 0.00 0.09 0.00 0.02
31 4.1827 0.00 0.04 0.00 -0.07
32 4.1827 0.00 -0.03 0.00 -0.09
33 4.9911 0.00 0.04 0.00 0.05
34 5.0758 0.00 0.06 0.00 -0.03
35 5.0758 0.00 -0.06 0.00 0.03
36 5.1003 0.00 -0.13 0.00 -0.12
37 5.1522 0.00 0.12 0.00 -0.09
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 520.630 520.619 520.641 ecceobj 0.912 0.912 0.912 incobj 12.401 12.401 12.401 qmin 41.363 41.294 41.338 qmax 995.252 1011.096 1027.479 amean 460.179 467.624 467.139 amin 428.925 437.555 440.871 amax 520.630 528.562 536.744 emean 0.900 0.901 0.901 emin 0.889 0.890 0.891 emax 0.912 0.913 0.914 imean 10.846 10.817 10.810 imin 10.678 10.674 10.657 imax 10.994 10.970 10.969 excite_mean 0.919 0.921 0.921 fracstop 1.000 1.000 1.000 cjmean 3.412 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 267.0 268.4 267.3 kozaiamp 6.0 7.7 6.3