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: 13RU128 # Created Sat Apr 20 01:14:52 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 38 observations of 38 # Arc: 9.99y # First observation: 2013/09/08 # Last observation: 2023/09/06 # Chi-squared of fit: 6.62 DOF: 70 RMS: 0.07 # Min/Max residuals: -0.22 0.35 # Exact a, adot, b, bdot, g, gdot: 1.594990E-05 2.927953E-02 -5.446492E-06 -1.197109E-02 2.690989E-02 5.837069E-03 # Covariance matrix: 1.3461E-13 -4.4369E-14 -3.7300E-15 9.7227E-15 2.0707E-13 -1.0600E-13 -4.4369E-14 3.1416E-14 7.3836E-15 -1.0019E-14 -5.2248E-14 1.0352E-13 -3.7300E-15 7.3836E-15 7.5954E-14 -1.6107E-14 1.5735E-14 3.2532E-14 9.7227E-15 -1.0019E-14 -1.6107E-14 8.9627E-15 6.5266E-15 -4.0801E-14 2.0707E-13 -5.2248E-14 1.5735E-14 6.5266E-15 9.6925E-13 -1.0060E-13 -1.0600E-13 1.0352E-13 3.2532E-14 -4.0801E-14 -1.0060E-13 4.1756E-13 # lat0 lon0 xBary yBary zBary JD0 12.466570 -31.451301 -0.290897 0.208515 -0.942789 2456543.626018 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 15.04006 +/- 0.007 Argument of Peri: 112.29898 +/- 0.009 Long of Asc Node: 176.14867 +/- 0.000 Inclination: 25.26474 +/- 0.000 Eccentricity: 0.41394659 +/- 0.0001 Semi-Major Axis: 60.95297341 +/- 0.0175 Time of Perihelion: 2449282.8092 +/- 4.7 Perihelion: 35.72169802 +/- 0.0133 Aphelion: 86.18424881 +/- 0.0262 Period (y) 475.8834 +/- 0.21 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 31.92960709 +/- 0.0011 Ecliptic Y -19.18518565 +/- 0.0007 Ecliptic Z 8.02175389 +/- 0.0003 Ecliptic XDOT 0.00226712 +/- 0.0000 Ecliptic YDOT 0.00210040 +/- 0.0000 Ecliptic ZDOT -0.00106090 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.10393165 +/- 0.0010 Geocenter to KBO 37.16096691 +/- 0.0014 # Hcoef: 7.53
The following table shows the complete astrometric record for 13RU128. 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 (13RU128) followed by the observatory code and reference code for the source of the astrometry.
2013 09 08.12524 21 45 37.432 -00 15 48.67 23.4g 13RU128 W84 C~4yQt 2013 09 11.203305 21 45 24.263 -00 17 43.77 22.7i 13RU128 W84 C~3wor 2013 09 13.13762 21 45 16.212 -00 18 56.68 22.9i 13RU128 W84 C~4yQt 2013 09 13.137622 21 45 16.215 -00 18 56.69 22.9i 13RU128 W84 C~3wor 2013 09 13.139011 21 45 16.208 -00 18 56.76 22.8z 13RU128 W84 C~3wor 2013 09 13.13902 21 45 16.212 -00 18 56.73 22.8z 13RU128 W84 C~4yQt 2013 09 24.04249 21 44 34.461 -00 25 51.61 24.1g 13RU128 W84 C~4yQt 2013 09 24.042495 21 44 34.461 -00 25 51.64 24.2g 13RU128 W84 C~3wor 2013 09 29.131580 21 44 17.423 -00 29 04.60 23.2r 13RU128 W84 C~3wor 2013 09 29.13158 21 44 17.423 -00 29 04.56 23.2r 13RU128 W84 C~4yQt 2013 09 29.13298 21 44 17.422 -00 29 04.57 23.1i 13RU128 W84 C~4yQt 2013 09 29.132981 21 44 17.424 -00 29 04.54 23.2i 13RU128 W84 C~3wor 2013 10 10.076256 21 43 47.216 -00 35 48.73 23.7r 13RU128 W84 C~3wor 2013 10 10.07626 21 43 47.215 -00 35 48.72 23.6r 13RU128 W84 C~4yQt 2013 10 11.070330 21 43 44.946 -00 36 24.41 23.4z 13RU128 W84 C~3wor 2013 10 11.07033 21 43 44.945 -00 36 24.34 23.3z 13RU128 W84 C~4yQt 2016 08 23.25049 22 08 06.752 -00 20 11.14 23.0z 13RU128 W84 C~4yQt 2016 08 23.250492 22 08 06.751 -00 20 11.15 23.1z 13RU128 W84 C~3wor 2016 08 26.237749 22 07 52.882 -00 21 51.16 22.8i 13RU128 W84 C~3wor 2016 08 26.23775 22 07 52.880 -00 21 51.17 22.8i 13RU128 W84 C~4yQt 2016 08 26.23911 22 07 52.871 -00 21 51.22 23.3r 13RU128 W84 C~4yQt 2016 08 26.239115 22 07 52.868 -00 21 51.24 23.4r 13RU128 W84 C~3wor 2016 08 26.240481 22 07 52.866 -00 21 51.11 24.5g 13RU128 W84 C~3wor 2016 08 26.24049 22 07 52.864 -00 21 51.12 24.4g 13RU128 W84 C~4yQt 2016 09 26.040724 22 05 41.343 -00 40 32.23 23.5r 13RU128 W84 C~3wor 2016 09 26.04073 22 05 41.342 -00 40 32.27 23.4r 13RU128 W84 C~4yQt 2016 09 26.04210 22 05 41.342 -00 40 32.29 23.3i 13RU128 W84 C~4yQt 2016 09 26.042101 22 05 41.339 -00 40 32.22 23.3i 13RU128 W84 C~3wor 2016 09 26.043478 22 05 41.339 -00 40 32.34 13RU128 W84 C~3wor 2018 09 17.21221 22 20 02.707 -00 43 14.42 23.4r 13RU128 W84 C~4yQt 2018 09 17.212217 22 20 02.707 -00 43 14.40 23.4r 13RU128 W84 C~3wor 2018 09 17.21359 22 20 02.706 -00 43 14.44 22.9z 13RU128 W84 C~4yQt 2018 09 17.213594 22 20 02.706 -00 43 14.45 22.9z 13RU128 W84 C~3wor 2018 09 17.21497 22 20 02.692 -00 43 14.47 23.2i 13RU128 W84 C~4yQt 2018 09 17.214971 22 20 02.688 -00 43 14.42 23.2i 13RU128 W84 C~3wor 2023 09 06.283220 22 53 41.891 -00 55 36.35 23.2G 13RU128 G37 C~7Ax5 2023 09 06.319840 22 53 41.727 -00 55 37.85 13RU128 G37 C~7Ax5 2023 09 06.356250 22 53 41.572 -00 55 39.04 13RU128 G37 C~7Ax5
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 0.35 0.00 -0.22
2 0.0084 0.00 0.07 0.00 -0.03
3 0.0137 0.00 -0.04 0.00 0.04
4 0.0137 0.00 0.00 0.00 0.03
5 0.0137 0.00 -0.02 0.00 0.01
6 0.0137 0.00 0.04 0.00 0.04
7 0.0436 0.00 -0.07 0.00 -0.00
8 0.0436 0.00 -0.07 0.00 -0.03
9 0.0575 0.00 -0.03 0.00 -0.03
10 0.0575 0.00 -0.03 0.00 -0.07
11 0.0575 0.00 0.02 0.00 0.01
12 0.0575 0.00 0.05 0.00 0.04
13 0.0875 0.00 -0.00 0.00 0.05
14 0.0875 0.00 -0.02 0.00 0.06
15 0.0902 0.00 -0.07 0.00 -0.04
16 0.0902 0.00 -0.09 0.00 0.03
17 2.9572 0.00 0.05 0.00 0.03
18 2.9572 0.00 0.04 0.00 0.02
19 2.9654 0.00 -0.00 0.00 -0.00
20 2.9654 0.00 -0.03 0.00 -0.01
21 2.9654 0.00 -0.07 0.00 -0.02
22 2.9654 0.00 -0.12 0.00 -0.04
23 2.9654 0.00 -0.05 0.00 0.14
24 2.9654 0.00 -0.08 0.00 0.13
25 3.0497 0.00 0.02 0.00 -0.01
26 3.0497 0.00 0.01 0.00 -0.05
27 3.0497 0.00 0.09 0.00 -0.02
28 3.0497 0.00 0.04 0.00 0.05
29 3.0497 0.00 0.12 0.00 -0.02
30 5.0242 0.00 0.01 0.00 -0.03
31 5.0242 0.00 0.01 0.00 -0.01
32 5.0242 0.00 0.08 0.00 -0.00
33 5.0242 0.00 0.08 0.00 -0.01
34 5.0242 0.00 -0.04 0.00 0.02
35 5.0242 0.00 -0.10 0.00 0.07
36 9.9936 0.00 -0.05 0.00 0.11
37 9.9937 0.00 -0.05 0.00 -0.13
38 9.9938 0.00 0.07 0.00 -0.06
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.
13RU128 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 61.236 61.236 61.236 ecceobj 0.417 0.417 0.417 incobj 25.223 25.223 25.223 qmin 34.841 34.997 35.173 qmax 88.761 88.725 88.554 amean 61.149 61.210 61.230 amin 60.308 60.530 60.498 amax 62.163 62.166 62.193 emean 0.409 0.408 0.408 emin 0.392 0.391 0.391 emax 0.429 0.428 0.425 imean 25.119 25.264 25.274 imin 24.296 24.524 24.634 imax 25.913 25.980 25.969 excite_mean 0.590 0.590 0.590 fracstop 1.000 1.000 1.000 cjmean 2.847 2.847 2.847 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 179.5 179.6 176.2 kozaiamp 180.0 180.0 179.9