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: 13RB98 # Created Sat Apr 27 01:14:46 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 76 observations of 76 # Arc: 5.25y # First observation: 2013/09/01 # Last observation: 2018/12/01 # Chi-squared of fit: 46.51 DOF: 146 RMS: 0.14 # Min/Max residuals: -0.42 0.30 # Exact a, adot, b, bdot, g, gdot: 1.385109E-05 2.218026E-02 -2.953179E-06 -3.622177E-03 2.396666E-02 -5.503080E-03 # Covariance matrix: 5.5864E-14 -2.1275E-14 -1.1010E-15 3.2998E-15 2.0161E-14 -1.7327E-13 -2.1275E-14 1.2626E-13 1.5694E-14 -2.4598E-14 9.9889E-14 1.3318E-12 -1.1010E-15 1.5694E-14 3.8379E-14 -1.5651E-14 1.3478E-14 1.7762E-13 3.2998E-15 -2.4598E-14 -1.5651E-14 1.4071E-14 -1.8815E-14 -2.8440E-13 2.0161E-14 9.9889E-14 1.3478E-14 -1.8815E-14 1.2564E-13 1.0266E-12 -1.7327E-13 1.3318E-12 1.7762E-13 -2.8440E-13 1.0266E-12 1.5377E-11 # lat0 lon0 xBary yBary zBary JD0 -20.087379 31.549228 0.806379 -0.209013 -0.571771 2456536.693967 # Heliocentric elements and errors Epoch: 2456536.5000 = 2013/09/01 Mean Anomaly: 285.19394 +/- 0.021 Argument of Peri: 349.58713 +/- 0.010 Long of Asc Node: 147.10977 +/- 0.001 Inclination: 21.95219 +/- 0.000 Eccentricity: 0.25851772 +/- 0.0002 Semi-Major Axis: 42.37878714 +/- 0.0043 Time of Perihelion: 2477475.4793 +/- 13.6 Perihelion: 31.42311979 +/- 0.0076 Aphelion: 53.33445448 +/- 0.0088 Period (y) 275.8868 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.33453646 +/- 0.0005 Ecliptic Y 20.13789261 +/- 0.0003 Ecliptic Z -14.33055953 +/- 0.0002 Ecliptic XDOT -0.00195619 +/- 0.0000 Ecliptic YDOT 0.00177490 +/- 0.0000 Ecliptic ZDOT -0.00017256 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.30572014 +/- 0.0004 Geocenter to KBO 41.72479618 +/- 0.0006 # Hcoef: 6.51
The following table shows the complete astrometric record for 13RB98. 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 (13RB98) followed by the observatory code and reference code for the source of the astrometry.
2013 09 01.193189 02 25 07.02 -06 52 17.4 23.5g 13RB98 W84 C~18eE 2013 09 01.195428 02 25 06.99 -06 52 17.7 22.5r 13RB98 W84 C~18eE 2013 09 01.199039 02 25 06.99 -06 52 17.8 22.3i 13RB98 W84 C~18eE 2013 09 01.202847 02 25 06.99 -06 52 18.0 21.6z 13RB98 W84 C~18eE 2013 09 08.210816 02 24 51.66 -06 56 38.5 23.7g 13RB98 W84 C~18eE 2013 09 08.213044 02 24 51.65 -06 56 38.7 22.7r 13RB98 W84 C~18eE 2013 09 08.215417 02 24 51.65 -06 56 38.6 22.4i 13RB98 W84 C~18eE 2013 09 08.219236 02 24 51.63 -06 56 38.8 22.3z 13RB98 W84 C~18eE 2013 09 12.202130 02 24 41.25 -06 59 08.4 23.4r 13RB98 W84 C~18eE 2013 09 12.204502 02 24 41.25 -06 59 08.5 22.7i 13RB98 W84 C~18eE 2013 09 12.208322 02 24 41.25 -06 59 08.3 22.2z 13RB98 W84 C~18eE 2013 09 16.280787 02 24 29.45 -07 01 41.4 22.2i 13RB98 W84 C~18eE 2013 09 16.284595 02 24 29.43 -07 01 41.3 22.1z 13RB98 W84 C~18eE 2013 09 23.314618 02 24 06.54 -07 06 02.5 22.9i 13RB98 W84 C~18eE 2013 09 23.318414 02 24 06.53 -07 06 02.7 22.8z 13RB98 W84 C~18eE 2013 09 28.155839 02 23 49.08 -07 08 59.1 23.6g 13RB98 W84 C~18eE 2013 09 28.158032 02 23 49.05 -07 08 59.0 22.5r 13RB98 W84 C~18eE 2013 09 28.160417 02 23 49.04 -07 08 59.0 22.3i 13RB98 W84 C~18eE 2013 09 28.164259 02 23 49.03 -07 08 59.4 22.1z 13RB98 W84 C~18eE 2013 10 02.144763 02 23 33.71 -07 11 20.7 23.9g 13RB98 W84 C~18eE 2013 10 02.146979 02 23 33.70 -07 11 21.0 23.1r 13RB98 W84 C~18eE 2013 10 02.149340 02 23 33.71 -07 11 21.2 22.7i 13RB98 W84 C~18eE 2013 10 02.153148 02 23 33.69 -07 11 21.0 23.1z 13RB98 W84 C~18eE 2013 10 11.22741 02 22 56.080 -07 16 28.72 22.7r 13RB98 W84 C~4yQm 2013 10 11.22741 02 22 56.08 -07 16 28.7 22.8r 13RB98 W84 C~3cl6 2013 10 11.22879 02 22 56.081 -07 16 28.70 22.6i 13RB98 W84 C~4yQm 2013 10 11.22879 02 22 56.08 -07 16 28.7 22.6i 13RB98 W84 C~3cl6 2014 09 15.31092 02 29 41.933 -06 46 28.52 22.3z 13RB98 W84 C~4yQm 2014 09 15.31092 02 29 41.93 -06 46 28.5 22.6z 13RB98 W84 C~3cl6 2014 09 30.26875 02 28 51.625 -06 55 41.41 22.9g 13RB98 W84 C~4yQm 2014 09 30.26875 02 28 51.63 -06 55 41.4 23.2g 13RB98 W84 C~3cl6 2014 09 30.27013 02 28 51.620 -06 55 41.51 21.7i 13RB98 W84 C~4yQm 2014 09 30.27013 02 28 51.63 -06 55 41.5 22.0i 13RB98 W84 C~3cl6 2014 10 01.38163 02 28 47.359 -06 56 21.29 22.5i 13RB98 W84 C~4yQm 2014 10 01.38163 02 28 47.36 -06 56 21.3 22.6i 13RB98 W84 C~3cl6 2014 10 21.32835 02 27 22.195 -07 07 10.46 23.1g 13RB98 W84 C~4yQm 2014 10 22.33783 02 27 17.56 -07 07 39.7 23.0R 13RB98 G37 C~1IXn 2014 10 22.42543 02 27 17.15 -07 07 42.1 13RB98 G37 C~1IXn 2014 10 29.30557 02 26 45.197 -07 10 45.07 22.5r 13RB98 W84 C~4yQm 2014 10 29.30557 02 26 45.20 -07 10 45.1 22.5r 13RB98 W84 C~3cl6 2014 12 10.228808 02 23 45.44 -07 18 52.3 23.0r 13RB98 W84 C~1IXn 2014 12 10.231204 02 23 45.45 -07 18 52.3 22.4i 13RB98 W84 C~1IXn 2014 12 10.233877 02 23 45.44 -07 18 52.4 22.2z 13RB98 W84 C~1IXn 2014 12 14.073038 02 23 32.86 -07 18 35.9 23.5g 13RB98 W84 C~1IXn 2014 12 14.075243 02 23 32.87 -07 18 35.9 23.0r 13RB98 W84 C~1IXn 2014 12 14.077593 02 23 32.85 -07 18 36.0 22.0i 13RB98 W84 C~1IXn 2014 12 14.080231 02 23 32.83 -07 18 35.8 22.2z 13RB98 W84 C~1IXn 2015 01 11.040642 02 22 35.33 -07 11 28.7 23.8g 13RB98 W84 C~1IXn 2015 01 11.042847 02 22 35.33 -07 11 28.6 23.3r 13RB98 W84 C~1IXn 2015 01 11.045208 02 22 35.34 -07 11 28.5 22.9i 13RB98 W84 C~1IXn 2015 01 11.047859 02 22 35.33 -07 11 28.3 22.4z 13RB98 W84 C~1IXn 2015 01 18.050347 02 22 31.64 -07 08 24.6 22.8r 13RB98 W84 C~1IXn 2015 01 18.052697 02 22 31.64 -07 08 24.6 22.7i 13RB98 W84 C~1IXn 2015 01 18.055336 02 22 31.64 -07 08 24.5 22.5z 13RB98 W84 C~1IXn 2015 01 23.048924 02 22 31.84 -07 05 57.5 22.9r 13RB98 W84 C~1IXn 2015 01 23.051285 02 22 31.82 -07 05 57.6 23.0i 13RB98 W84 C~1IXn 2015 01 23.055093 02 22 31.81 -07 05 57.5 22.3z 13RB98 W84 C~1IXn 2015 01 30.038009 02 22 36.08 -07 02 11.9 23.2r 13RB98 W84 C~1IXn 2015 01 30.040347 02 22 36.08 -07 02 12.0 22.6i 13RB98 W84 C~1IXn 2015 01 30.044144 02 22 36.10 -07 02 11.6 22.3z 13RB98 W84 C~1IXn 2016 09 23.26942 02 39 43.014 -06 21 49.87 22.1i 13RB98 W84 C~4yQm 2016 09 23.26942 02 39 43.01 -06 21 49.8 22.8i 13RB98 W84 C~3cl6 2016 09 24.28762 02 39 39.591 -06 22 27.50 23.0r 13RB98 W84 C~4yQm 2016 10 22.20749 02 37 45.200 -06 38 09.51 22.0i 13RB98 W84 C~4yQm 2016 10 22.20749 02 37 45.20 -06 38 09.5 22.2i 13RB98 W84 C~3cl6 2016 10 22.20888 02 37 45.197 -06 38 09.60 21.8z 13RB98 W84 C~4yQm 2016 10 22.20888 02 37 45.20 -06 38 09.6 22.0z 13RB98 W84 C~3cl6 2016 10 25.22033 02 37 31.20 -06 39 34.1 23.3g 13RB98 W84 C~3cl6 2017 10 17.29571 02 43 28.309 -06 20 08.44 24.4g 13RB98 W84 C~4yQm 2017 11 29.16607 02 40 08.952 -06 34 19.21 21.9z 13RB98 W84 C~4yQm 2017 12 15.07582 02 39 07.354 -06 34 23.76 22.9i 13RB98 W84 C~4yQm 2017 12 15.07719 02 39 07.361 -06 34 23.90 22.6r 13RB98 W84 C~4yQm 2017 12 15.07857 02 39 07.355 -06 34 23.77 24.3g 13RB98 W84 C~4yQm 2018 11 17.19278 02 46 26.417 -06 16 30.72 21.7i 13RB98 W84 C~4yQm 2018 11 29.21506 02 45 31.464 -06 18 40.67 23.0r 13RB98 W84 C~4yQm 2018 12 01.17407 02 45 22.973 -06 18 52.24 23.3g 13RB98 W84 C~4yQm
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 0.11 0.00 0.16
2 0.0000 0.00 -0.27 0.00 -0.05
3 0.0000 0.00 -0.17 0.00 -0.02
4 0.0000 0.00 -0.05 0.00 -0.08
5 0.0192 0.00 0.05 0.00 -0.03
6 0.0192 0.00 -0.01 0.00 -0.15
7 0.0192 0.00 0.07 0.00 0.04
8 0.0192 0.00 -0.08 0.00 -0.02
9 0.0301 0.00 -0.06 0.00 -0.20
10 0.0301 0.00 0.04 0.00 -0.21
11 0.0302 0.00 0.20 0.00 0.13
12 0.0413 0.00 -0.01 0.00 -0.22
13 0.0413 0.00 -0.14 0.00 0.03
14 0.0606 0.00 0.01 0.00 0.11
15 0.0606 0.00 0.06 0.00 0.05
16 0.0738 0.00 0.26 0.00 -0.12
17 0.0738 0.00 -0.07 0.00 0.06
18 0.0738 0.00 -0.08 0.00 0.15
19 0.0738 0.00 -0.01 0.00 -0.11
20 0.0847 0.00 -0.02 0.00 0.28
21 0.0847 0.00 -0.04 0.00 0.06
22 0.0848 0.00 0.26 0.00 -0.06
23 0.0848 0.00 0.19 0.00 0.27
24 0.1096 0.00 0.08 0.00 -0.12
25 0.1096 0.00 0.08 0.00 -0.14
26 0.1096 0.00 0.17 0.00 -0.07
27 0.1096 0.00 0.18 0.00 -0.07
28 1.0380 0.00 -0.11 0.00 -0.08
29 1.0380 0.00 -0.07 0.00 -0.10
30 1.0789 0.00 -0.02 0.00 0.00
31 1.0789 0.00 -0.09 0.00 -0.01
32 1.0789 0.00 0.06 0.00 -0.05
33 1.0789 0.00 -0.09 0.00 -0.06
34 1.0820 0.00 0.05 0.00 -0.15
35 1.0820 0.00 0.04 0.00 -0.14
36 1.1366 0.00 0.03 0.00 0.30
37 1.1393 0.00 -0.14 0.00 0.12
38 1.1396 0.00 -0.16 0.00 0.19
39 1.1584 0.00 0.12 0.00 -0.08
40 1.1584 0.00 0.07 0.00 -0.05
41 1.2732 0.00 -0.42 0.00 0.28
42 1.2732 0.00 -0.14 0.00 0.27
43 1.2732 0.00 -0.15 0.00 0.16
44 1.2837 0.00 -0.06 0.00 0.22
45 1.2837 0.00 0.19 0.00 0.21
46 1.2837 0.00 0.01 0.00 0.10
47 1.2837 0.00 -0.17 0.00 0.28
48 1.3603 0.00 -0.11 0.00 -0.14
49 1.3603 0.00 -0.08 0.00 -0.10
50 1.3603 0.00 0.11 0.00 -0.06
51 1.3603 0.00 -0.01 0.00 0.08
52 1.3795 0.00 0.03 0.00 0.04
53 1.3795 0.00 0.04 0.00 -0.02
54 1.3795 0.00 0.05 0.00 0.00
55 1.3932 0.00 0.14 0.00 -0.02
56 1.3932 0.00 -0.17 0.00 -0.19
57 1.3932 0.00 -0.33 0.00 -0.21
58 1.4123 0.00 -0.06 0.00 0.02
59 1.4123 0.00 -0.09 0.00 -0.16
60 1.4123 0.00 0.16 0.00 0.11
61 3.0611 0.00 0.12 0.00 -0.17
62 3.0611 0.00 0.18 0.00 -0.24
63 3.0639 0.00 -0.03 0.00 0.00
64 3.1404 0.00 0.01 0.00 0.02
65 3.1404 0.00 0.01 0.00 0.01
66 3.1404 0.00 0.11 0.00 -0.04
67 3.1404 0.00 0.06 0.00 -0.04
68 3.1486 0.00 0.16 0.00 0.10
69 4.1262 0.00 -0.25 0.00 -0.14
70 4.2436 0.00 0.03 0.00 0.04
71 4.2872 0.00 0.09 0.00 0.12
72 4.2872 0.00 0.27 0.00 -0.03
73 4.2872 0.00 0.25 0.00 0.09
74 5.2101 0.00 -0.35 0.00 -0.11
75 5.2430 0.00 0.05 0.00 0.06
76 5.2484 0.00 0.01 0.00 0.07
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.
13RB98 quality flag:2 Type: 5:3EE SCATNEAR 5:3EE Type: 5:3II 5:3II axisobj 42.527 42.527 42.527 ecceobj 0.255 0.255 0.255 incobj 21.916 21.916 21.916 qmin 30.884 30.884 30.685 qmax 54.431 54.429 54.601 amean 42.326 42.324 42.326 amin 41.860 41.875 41.849 amax 42.853 42.850 42.867 emean 0.219 0.138 0.236 emin 0.145 0.041 0.166 emax 0.271 0.271 0.275 imean 22.133 23.711 21.569 imin 20.412 20.413 20.305 imax 23.915 25.460 23.257 excite_mean 0.437 0.433 0.438 fracstop 1.000 1.000 1.000 cjmean 2.853 2.854 2.853 libcent 0 180.9 -180.0 173.3 libamp 0 111.8 -180.0 110.4 libcent 1 178.0 -180.0 180.1 libamp 1 152.9 -180.0 147.7 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 140.3 127.8 152.0 kozaiamp 180.0 180.0 180.0