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: 13RZ108 # Created Tue May 20 01:09:37 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 10.10y # First observation: 2013/09/10 # Last observation: 2023/10/17 # Chi-squared of fit: 10.01 DOF: 50 RMS: 0.11 # Min/Max residuals: -0.24 0.20 # Exact a, adot, b, bdot, g, gdot: 2.122679E-05 4.506816E-02 4.334500E-06 8.093085E-03 3.353183E-02 -2.492624E-03 # Covariance matrix: 2.5397E-13 -5.4271E-14 5.4240E-15 -6.9013E-15 1.8292E-13 -8.2412E-14 -5.4271E-14 9.7110E-14 -1.1079E-14 1.7254E-14 2.5258E-14 2.0039E-13 5.4240E-15 -1.1079E-14 7.6457E-14 -1.2310E-14 -2.8006E-15 -2.3893E-14 -6.9013E-15 1.7254E-14 -1.2310E-14 7.4616E-15 6.2683E-15 3.7333E-14 1.8292E-13 2.5258E-14 -2.8006E-15 6.2683E-15 2.4731E-13 7.0016E-14 -8.2412E-14 2.0039E-13 -2.3893E-14 3.7333E-14 7.0016E-14 4.3342E-13 # lat0 lon0 xBary yBary zBary JD0 -8.583357 27.375071 0.646390 -0.115292 -0.764515 2456545.851758 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 355.33905 +/- 0.001 Argument of Peri: 333.71418 +/- 0.003 Long of Asc Node: 65.64490 +/- 0.000 Inclination: 13.01958 +/- 0.000 Eccentricity: 0.45602169 +/- 0.0001 Semi-Major Axis: 55.72412739 +/- 0.0072 Time of Perihelion: 2458513.6401 +/- 29.2 Perihelion: 30.31271659 +/- 0.0053 Aphelion: 81.13553820 +/- 0.0111 Period (y) 415.9806 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.16938317 +/- 0.0004 Ecliptic Y 13.34370698 +/- 0.0002 Ecliptic Z -4.45083628 +/- 0.0001 Ecliptic XDOT -0.00178932 +/- 0.0000 Ecliptic YDOT 0.00321936 +/- 0.0000 Ecliptic ZDOT 0.00068391 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.59481696 +/- 0.0004 Geocenter to KBO 29.82247571 +/- 0.0004 # Hcoef: 7.98
The following table shows the complete astrometric record for 13RZ108. 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 (13RZ108) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.35098 01 53 57.099 +02 31 02.53 23.9g 13RZ108 W84 C~4yQo 2013 09 10.37246 01 53 57.007 +02 31 01.94 23.5r 13RZ108 W84 C~4yQo 2013 10 03.24537 01 52 05.704 +02 19 02.94 23.2g 13RZ108 W84 C~4yQo 2013 10 04.20320 01 52 00.359 +02 18 32.18 23.2g 13RZ108 W84 C~4yQo 2013 11 04.07060 01 48 57.56 +02 03 44.2 23.0r 13RZ108 W84 C~352C 2013 11 04.13358 01 48 57.19 +02 03 42.7 13RZ108 W84 C~352C 2013 11 04.21602 01 48 56.69 +02 03 40.8 13RZ108 W84 C~352C 2013 11 23.18047 01 47 13.940 +01 58 00.66 21.8i 13RZ108 W84 C~4yQo 2013 12 21.111100 01 45 33.14 +01 57 11.1 22.9i 13RZ108 W84 C~352C 2013 12 21.11163 01 45 33.139 +01 57 11.03 23.3i 13RZ108 W84 C~4yQo 2013 12 21.11303 01 45 33.118 +01 57 11.15 22.9z 13RZ108 W84 C~4yQo 2014 10 02.260000 02 01 18.48 +03 41 04.3 23.2g 13RZ108 W84 C~352C 2014 10 02.26052 02 01 18.492 +03 41 03.99 23.0g 13RZ108 W84 C~4yQo 2014 10 02.261354 02 01 18.47 +03 41 04.2 22.8r 13RZ108 W84 C~352C 2014 10 02.26188 02 01 18.470 +03 41 04.23 22.8r 13RZ108 W84 C~4yQo 2014 10 21.27770 01 59 27.902 +03 31 26.00 23.6g 13RZ108 W84 C~4yQo 2014 10 23.27376 01 59 15.781 +03 30 28.94 22.8i 13RZ108 W84 C~4yQo 2014 10 29.238264 01 58 39.54 +03 27 45.6 22.2r 13RZ108 W84 C~352C 2014 10 29.24020 01 58 39.533 +03 27 45.53 22.7g 13RZ108 W84 C~4yQo 2014 11 17.130683 01 56 49.50 +03 20 46.2 22.8r 13RZ108 W84 C~352C 2014 12 25.084826 01 54 20.28 +03 17 54.6 22.4z 13RZ108 W84 C~352C 2014 12 25.08535 01 54 20.287 +03 17 54.51 22.7z 13RZ108 W84 C~4yQo 2015 12 29.12036 02 03 11.54 +04 38 45.7 22.9i 13RZ108 W84 C~3cl7 2020 10 20.408610 02 55 37.153 +11 33 43.26 22.7G 13RZ108 G37 C~4Kvu 2020 10 20.479610 02 55 36.755 +11 33 41.41 13RZ108 G37 C~4Kvu 2023 10 17.434440 03 24 57.465 +15 20 27.84 22.5w 13RZ108 F51 C~7Ax2 2023 10 17.447319 03 24 57.369 +15 20 27.89 22.6w 13RZ108 F51 C~7Ax2 2023 10 17.460218 03 24 57.315 +15 20 27.78 22.7w 13RZ108 F51 C~7Ax2
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 -0.10
2 0.0001 0.00 -0.02 0.00 -0.05
3 0.0627 0.00 -0.05 0.00 0.09
4 0.0653 0.00 0.10 0.00 0.05
5 0.1498 0.00 0.01 0.00 0.04
6 0.1500 0.00 0.08 0.00 0.01
7 0.1502 0.00 -0.05 0.00 0.02
8 0.2021 0.00 0.04 0.00 -0.00
9 0.2786 0.00 0.08 0.00 -0.08
10 0.2786 0.00 0.08 0.00 -0.16
11 0.2786 0.00 -0.18 0.00 -0.05
12 1.0593 0.00 -0.10 0.00 0.11
13 1.0593 0.00 0.13 0.00 -0.19
14 1.0593 0.00 -0.14 0.00 0.05
15 1.0593 0.00 -0.09 0.00 0.10
16 1.1114 0.00 0.10 0.00 0.01
17 1.1168 0.00 -0.02 0.00 -0.00
18 1.1332 0.00 -0.03 0.00 -0.06
19 1.1332 0.00 0.04 0.00 -0.07
20 1.1849 0.00 0.08 0.00 0.18
21 1.2888 0.00 -0.14 0.00 0.11
22 1.2888 0.00 -0.02 0.00 0.02
23 2.2992 0.00 0.08 0.00 -0.02
24 7.1104 0.00 -0.24 0.00 0.11
25 7.1106 0.00 0.20 0.00 -0.06
26 10.1002 0.00 0.17 0.00 -0.24
27 10.1002 0.00 -0.21 0.00 0.03
28 10.1002 0.00 0.05 0.00 0.14
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.
13RZ108 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 56.174 56.174 56.175 ecceobj 0.460 0.460 0.460 incobj 13.021 13.021 13.021 qmin 29.854 29.854 29.854 qmax 82.578 82.562 82.579 amean 55.461 55.461 55.461 amin 54.739 54.742 54.723 amax 56.507 56.497 56.508 emean 0.451 0.451 0.451 emin 0.441 0.441 0.441 emax 0.462 0.462 0.462 imean 11.938 11.937 11.938 imin 11.731 11.731 11.732 imax 12.115 12.114 12.116 excite_mean 0.496 0.496 0.496 fracstop 1.000 1.000 1.000 cjmean 2.913 2.913 2.913 libcent 0 179.6 180.0 181.1 libamp 0 83.4 82.4 83.1 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 153.1 153.1 153.1 kozaiamp 180.0 180.0 180.0