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: 13RR98 # Created Tue Apr 1 01:09:33 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 61 observations of 61 # Arc: 5.23y # First observation: 2013/09/13 # Last observation: 2018/12/07 # Chi-squared of fit: 55.35 DOF: 116 RMS: 0.17 # Min/Max residuals: -0.63 0.71 # Exact a, adot, b, bdot, g, gdot: 1.796935E-05 3.103970E-02 -6.866472E-07 -3.032827E-04 2.721998E-02 3.971610E-03 # Covariance matrix: 1.1525E-13 -8.3466E-14 -4.9128E-15 -4.9109E-15 3.2372E-14 -5.2328E-13 -8.3466E-14 1.1769E-13 -6.6616E-15 7.2678E-15 1.3067E-14 8.8548E-13 -4.9128E-15 -6.6616E-15 7.8339E-14 -2.3206E-14 -3.4021E-14 -3.9276E-14 -4.9109E-15 7.2678E-15 -2.3206E-14 1.2596E-14 -2.0731E-15 6.2393E-14 3.2372E-14 1.3067E-14 -3.4021E-14 -2.0731E-15 1.5349E-13 3.3779E-14 -5.2328E-13 8.8548E-13 -3.9276E-14 6.2393E-14 3.3779E-14 7.4590E-12 # lat0 lon0 xBary yBary zBary JD0 -38.670101 -28.839227 -0.330216 -0.594273 -0.742726 2456548.760813 # Heliocentric elements and errors Epoch: 2456548.5000 = 2013/09/13 Mean Anomaly: 19.90082 +/- 0.008 Argument of Peri: 233.48937 +/- 0.016 Long of Asc Node: 62.35272 +/- 0.000 Inclination: 37.76255 +/- 0.000 Eccentricity: 0.28322010 +/- 0.0001 Semi-Major Axis: 50.08342830 +/- 0.0054 Time of Perihelion: 2449391.8781 +/- 3.2 Perihelion: 35.89879470 +/- 0.0061 Aphelion: 64.26806189 +/- 0.0084 Period (y) 354.4453 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 26.11834101 +/- 0.0004 Ecliptic Y -14.00195632 +/- 0.0002 Ecliptic Z -22.95506595 +/- 0.0003 Ecliptic XDOT 0.00175627 +/- 0.0000 Ecliptic YDOT 0.00259241 +/- 0.0000 Ecliptic ZDOT -0.00027328 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.48534209 +/- 0.0003 Geocenter to KBO 36.73767907 +/- 0.0005 # Hcoef: 7.02
The following table shows the complete astrometric record for 13RR98. 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 (13RR98) followed by the observatory code and reference code for the source of the astrometry.
2013 09 13.260035 23 27 43.05 -46 18 33.2 23.7g 13RR98 W84 C~2Gib 2013 09 13.26004 23 27 43.069 -46 18 33.31 23.9g 13RR98 W84 C~4yQm 2013 09 24.107975 23 26 27.13 -46 20 49.5 23.9g 13RR98 W84 C~2Gib 2013 09 24.10798 23 26 27.137 -46 20 49.73 23.8g 13RR98 W84 C~4yQm 2013 09 29.06135 23 25 53.367 -46 21 05.29 23.5g 13RR98 W84 C~4yQm 2013 10 12.21998 23 24 29.320 -46 19 19.10 22.0z 13RR98 W84 C~4yQm 2013 11 08.06010 23 22 23.131 -46 05 03.80 22.6i 13RR98 W84 C~4yQm 2013 11 15.123843 23 22 03.65 -45 59 10.6 22.3z 13RR98 W84 C~352B 2013 11 15.124363 23 22 03.65 -45 59 10.4 22.3z 13RR98 W84 C~2Gib 2013 11 15.12437 23 22 03.653 -45 59 10.57 22.6z 13RR98 W84 C~4yQm 2013 12 07.09795 23 21 46.997 -45 36 29.51 24.0g 13RR98 W84 C~4yQm 2013 12 12.08898 23 21 52.871 -45 30 38.02 22.8z 13RR98 W84 C~4yQm 2013 12 13.085845 23 21 54.47 -45 29 26.1 22.4z 13RR98 W84 C~2Gib 2013 12 13.08586 23 21 54.476 -45 29 26.49 22.4z 13RR98 W84 C~4yQn 2014 09 04.206597 23 37 32.04 -45 20 40.0 22.5i 13RR98 W84 C~2Gib 2014 09 04.20660 23 37 32.067 -45 20 40.20 22.6i 13RR98 W84 C~4yQn 2014 09 12.197477 23 36 37.45 -45 24 16.0 22.0z 13RR98 W84 C~352B 2014 09 12.197998 23 36 37.43 -45 24 15.9 22.0z 13RR98 W84 C~2Gib 2014 09 12.19801 23 36 37.453 -45 24 16.00 22.4z 13RR98 W84 C~4yQn 2014 09 24.163218 23 35 14.69 -45 27 26.4 22.4i 13RR98 W84 C~2Gib 2014 09 24.16323 23 35 14.713 -45 27 26.65 22.8i 13RR98 W84 C~4yQn 2014 09 30.14273 23 34 34.175 -45 27 58.38 23.0r 13RR98 W84 C~4yQn 2014 09 30.142731 23 34 34.16 -45 27 58.1 22.8r 13RR98 W84 C~2Gib 2014 11 14.165602 23 30 46.69 -45 09 00.6 22.8i 13RR98 W84 C~352B 2014 11 14.166123 23 30 46.69 -45 09 00.6 22.8i 13RR98 W84 C~2Gib 2014 11 14.16613 23 30 46.695 -45 09 00.72 23.1i 13RR98 W84 C~4yQn 2015 08 18.261169 23 47 39.85 -44 12 56.3 22.8r 13RR98 W84 C~352B 2015 08 18.261690 23 47 39.85 -44 12 56.3 22.8r 13RR98 W84 C~2Gib 2015 08 18.26169 23 47 39.861 -44 12 56.47 22.8r 13RR98 W84 C~4yQn 2015 08 21.273981 23 47 22.68 -44 15 16.6 22.5i 13RR98 W84 C~352B 2015 08 21.27451 23 47 22.707 -44 15 16.45 22.6i 13RR98 W84 C~4yQn 2015 08 21.276701 23 47 22.74 -44 15 16.3 23.4g 13RR98 W84 C~352B 2015 10 17.099132 23 41 14.72 -44 31 12.3 22.6i 13RR98 W84 C~2Gib 2015 10 17.09914 23 41 14.723 -44 31 12.41 22.9i 13RR98 W84 C~4yQn 2015 10 17.10051 23 41 14.702 -44 31 12.46 24.1g 13RR98 W84 C~4yQn 2015 10 18.09221 23 41 08.991 -44 30 55.55 22.7z 13RR98 W84 C~4yQn 2015 10 18.093576 23 41 08.97 -44 30 55.5 22.9r 13RR98 W84 C~2Gib 2015 10 18.09358 23 41 08.980 -44 30 55.76 23.1r 13RR98 W84 C~4yQn 2015 10 22.080556 23 40 46.79 -44 29 36.7 22.2z 13RR98 W84 C~352C 2015 10 22.08108 23 40 46.787 -44 29 36.76 22.6z 13RR98 W84 C~4yQn 2016 09 30.165984 23 51 01.43 -43 36 03.0 22.8r 13RR98 W84 C~2Gib 2016 09 30.16599 23 51 01.453 -43 36 03.12 22.9r 13RR98 W84 C~4yQn 2016 09 30.167361 23 51 01.43 -43 36 02.9 22.6i 13RR98 W84 C~2Gib 2016 09 30.16737 23 51 01.439 -43 36 03.09 22.2i 13RR98 W84 C~4yQn 2016 09 30.168727 23 51 01.43 -43 36 03.0 23.8g 13RR98 W84 C~2Gib 2016 09 30.16873 23 51 01.437 -43 36 03.11 24.0g 13RR98 W84 C~4yQn 2016 10 22.091794 23 48 47.51 -43 33 22.7 23.0r 13RR98 W84 C~352C 2016 10 22.092315 23 48 47.51 -43 33 22.7 23.0r 13RR98 W84 C~2Gib 2016 10 22.09232 23 48 47.456 -43 33 22.73 22.1r 13RR98 W84 C~4yQn 2016 12 06.10680 23 46 27.843 -42 59 50.07 21.6z 13RR98 W84 C~4yQn 2016 12 19.065787 23 46 35.04 -42 45 02.2 22.5i 13RR98 W84 C~2Gib 2016 12 19.06579 23 46 35.044 -42 45 02.39 22.7i 13RR98 W84 C~4yQn 2017 10 15.26451 23 57 14.085 -42 37 27.12 22.4r 13RR98 W84 C~4yQn 2017 10 20.09816 23 56 45.954 -42 36 26.77 22.8i 13RR98 W84 C~4yQn 2017 10 22.08807 23 56 34.807 -42 35 53.75 22.9r 13RR98 W84 C~4yQn 2017 10 22.08945 23 56 34.806 -42 35 54.03 23.2g 13RR98 W84 C~4yQn 2017 10 28.11219 23 56 02.858 -42 33 44.53 22.5z 13RR98 W84 C~4yQn 2017 11 08.10972 23 55 12.689 -42 28 00.41 22.7r 13RR98 W84 C~4yQn 2017 11 08.11109 23 55 12.681 -42 28 00.31 23.9g 13RR98 W84 C~4yQn 2018 10 18.22266 00 04 26.380 -41 37 46.08 22.2z 13RR98 W84 C~4yQn 2018 12 07.03924 00 01 25.280 -41 06 06.49 22.3i 13RR98 W84 C~4yQn
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 -0.06 0.00 0.10
2 0.0000 0.00 0.22 0.00 -0.01
3 0.0297 0.00 -0.22 0.00 0.21
4 0.0297 0.00 -0.11 0.00 -0.02
5 0.0433 0.00 0.17 0.00 -0.13
6 0.0793 0.00 0.15 0.00 -0.00
7 0.1528 0.00 0.19 0.00 -0.08
8 0.1721 0.00 -0.18 0.00 -0.22
9 0.1721 0.00 -0.16 0.00 -0.04
10 0.1721 0.00 -0.12 0.00 -0.21
11 0.2323 0.00 0.12 0.00 0.00
12 0.2459 0.00 0.08 0.00 -0.06
13 0.2487 0.00 0.01 0.00 0.30
14 0.2487 0.00 0.10 0.00 -0.09
15 0.9745 0.00 -0.32 0.00 0.16
16 0.9745 0.00 0.08 0.00 -0.04
17 0.9964 0.00 0.20 0.00 -0.08
18 0.9964 0.00 -0.05 0.00 0.03
19 0.9964 0.00 0.30 0.00 -0.07
20 1.0292 0.00 -0.13 0.00 0.23
21 1.0292 0.00 0.22 0.00 -0.02
22 1.0455 0.00 -0.00 0.00 -0.08
23 1.0455 0.00 -0.23 0.00 0.20
24 1.1688 0.00 -0.10 0.00 0.11
25 1.1688 0.00 -0.08 0.00 0.08
26 1.1688 0.00 -0.01 0.00 -0.04
27 1.9275 0.00 -0.10 0.00 0.04
28 1.9275 0.00 0.11 0.00 -0.10
29 1.9275 0.00 -0.05 0.00 0.07
30 1.9357 0.00 -0.43 0.00 -0.34
31 1.9357 0.00 0.02 0.00 -0.17
32 1.9357 0.00 0.71 0.00 0.08
33 2.0913 0.00 0.13 0.00 0.17
34 2.0913 0.00 0.17 0.00 0.06
35 2.0913 0.00 -0.02 0.00 -0.01
36 2.0940 0.00 -0.02 0.00 0.19
37 2.0940 0.00 -0.21 0.00 0.21
38 2.0940 0.00 -0.06 0.00 -0.05
39 2.1049 0.00 0.16 0.00 -0.20
40 2.1049 0.00 0.16 0.00 -0.27
41 3.0470 0.00 -0.28 0.00 0.08
42 3.0470 0.00 0.06 0.00 -0.04
43 3.0470 0.00 -0.14 0.00 0.19
44 3.0470 0.00 -0.01 0.00 -0.00
45 3.0470 0.00 -0.01 0.00 0.10
46 3.0470 0.00 0.10 0.00 -0.01
47 3.1070 0.00 0.14 0.00 0.18
48 3.1070 0.00 0.18 0.00 0.17
49 3.1070 0.00 -0.63 0.00 0.14
50 3.2302 0.00 0.21 0.00 -0.10
51 3.2657 0.00 -0.01 0.00 0.15
52 3.2657 0.00 0.05 0.00 -0.04
53 4.0876 0.00 0.09 0.00 -0.05
54 4.1009 0.00 0.04 0.00 -0.03
55 4.1063 0.00 0.01 0.00 -0.11
56 4.1063 0.00 0.12 0.00 -0.42
57 4.1228 0.00 -0.05 0.00 -0.02
58 4.1529 0.00 -0.11 0.00 -0.01
59 4.1529 0.00 -0.14 0.00 0.04
60 5.0950 0.00 0.19 0.00 0.04
61 5.2314 0.00 0.07 0.00 0.00
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.
13RR98 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 50.368 50.368 50.368 ecceobj 0.287 0.287 0.287 incobj 37.795 37.795 37.795 qmin 34.969 34.938 34.955 qmax 66.324 66.328 66.269 amean 50.301 50.309 50.305 amin 49.842 49.846 49.837 amax 50.889 50.894 50.900 emean 0.284 0.285 0.284 emin 0.263 0.264 0.263 emax 0.303 0.304 0.303 imean 36.638 36.628 36.634 imin 36.255 36.255 36.254 imax 37.171 37.156 37.173 excite_mean 0.661 0.661 0.661 fracstop 1.000 1.000 1.000 cjmean 2.587 2.587 2.587 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 196.0 197.1 196.4 kozaiamp 180.0 180.0 180.0