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: 13RU156 # Created Fri Apr 26 01:14:58 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 6.05y # First observation: 2013/09/09 # Last observation: 2019/09/27 # Chi-squared of fit: 8.20 DOF: 34 RMS: 0.11 # Min/Max residuals: -0.25 0.19 # Exact a, adot, b, bdot, g, gdot: 1.919086E-05 3.414583E-02 2.070824E-06 5.607904E-03 2.846801E-02 -3.438396E-03 # Covariance matrix: 4.7841E-13 -1.7508E-13 1.4483E-14 -1.8611E-14 1.1592E-13 -5.3126E-13 -1.7508E-13 1.7704E-13 -2.4616E-14 2.7757E-14 9.0716E-14 7.9056E-13 1.4483E-14 -2.4616E-14 3.3272E-13 -7.5432E-14 -1.8044E-14 -1.2341E-13 -1.8611E-14 2.7757E-14 -7.5432E-14 2.4501E-14 1.5390E-14 1.3941E-13 1.1592E-13 9.0716E-14 -1.8044E-14 1.5390E-14 4.3444E-13 4.3573E-13 -5.3126E-13 7.9056E-13 -1.2341E-13 1.3941E-13 4.3573E-13 3.9708E-12 # lat0 lon0 xBary yBary zBary JD0 -7.125514 1.399749 0.260999 -0.120696 -0.966234 2456544.737628 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 350.37275 +/- 0.005 Argument of Peri: 345.68706 +/- 0.012 Long of Asc Node: 37.39948 +/- 0.001 Inclination: 11.57788 +/- 0.000 Eccentricity: 0.37728635 +/- 0.0001 Semi-Major Axis: 56.73682683 +/- 0.0093 Time of Perihelion: 2460718.9158 +/- 37.4 Perihelion: 35.33079669 +/- 0.0077 Aphelion: 78.14285698 +/- 0.0138 Period (y) 427.3717 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.82498165 +/- 0.0008 Ecliptic Y 0.61746207 +/- 0.0000 Ecliptic Z -4.35723009 +/- 0.0001 Ecliptic XDOT -0.00034755 +/- 0.0000 Ecliptic YDOT 0.00327539 +/- 0.0000 Ecliptic ZDOT 0.00057632 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.09433826 +/- 0.0008 Geocenter to KBO 35.12724653 +/- 0.0008 # Hcoef: 7.95
The following table shows the complete astrometric record for 13RU156. 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 (13RU156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.23685 00 16 30.544 -05 58 44.78 23.5g 13RU156 W84 C~52RN 2013 10 13.15319 00 13 40.534 -06 14 50.75 22.7i 13RU156 W84 C~52RN 2013 10 13.15600 00 13 40.527 -06 14 50.95 22.8z 13RU156 W84 C~52RN 2014 11 15.12231 00 18 06.772 -05 18 57.21 23.5i 13RU156 W84 C~52RN 2016 09 09.16734 00 36 39.057 -02 42 17.15 23.4i 13RU156 W84 C~52RN 2016 09 09.27089 00 36 38.564 -02 42 20.41 22.9r 13RU156 W84 C~52RN 2016 09 09.27227 00 36 38.563 -02 42 20.28 24.3g 13RU156 W84 C~52RN 2016 11 18.07307 00 31 15.801 -03 09 18.05 23.2r 13RU156 W84 C~52RN 2016 11 18.07445 00 31 15.795 -03 09 17.76 24.4g 13RU156 W84 C~52RN 2017 09 18.24703 00 42 42.621 -01 40 06.27 23.0i 13RU156 W84 C~52RN 2017 09 18.24840 00 42 42.616 -01 40 06.42 23.5r 13RU156 W84 C~52RN 2017 09 18.24978 00 42 42.619 -01 40 06.51 24.3g 13RU156 W84 C~52RN 2017 10 22.15797 00 39 50.622 -01 55 52.67 23.3z 13RU156 W84 C~52RN 2018 09 14.32489 00 49 50.188 -00 31 00.38 23.0i 13RU156 W84 C~52RN 2018 11 08.17949 00 45 20.966 -00 54 39.31 23.1r 13RU156 W84 C~52RN 2018 11 08.18087 00 45 20.962 -00 54 39.46 23.3i 13RU156 W84 C~52RN 2018 11 27.08311 00 44 15.715 -00 58 04.04 24.3g 13RU156 W84 C~52RN 2019 09 27.32546 00 55 37.12 +00 30 06.6 24.2g 13RU156 T09 C~7wLr 2019 09 27.40870 00 55 36.68 +00 30 04.3 24.1g 13RU156 T09 C~7wLr 2019 09 27.58210 00 55 35.78 +00 29 59.1 23.8g 13RU156 T09 C~7wLr
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 -0.13 0.00 0.18
2 0.0929 0.00 -0.03 0.00 0.12
3 0.0929 0.00 0.07 0.00 -0.02
4 1.1824 0.00 -0.04 0.00 -0.01
5 3.0005 0.00 0.09 0.00 -0.10
6 3.0008 0.00 0.03 0.00 -0.25
7 3.0008 0.00 0.12 0.00 -0.08
8 3.1919 0.00 -0.05 0.00 -0.14
9 3.1919 0.00 -0.07 0.00 0.16
10 4.0247 0.00 -0.01 0.00 0.11
11 4.0247 0.00 0.02 0.00 -0.00
12 4.0247 0.00 0.16 0.00 -0.05
13 4.1175 0.00 -0.07 0.00 -0.12
14 5.0132 0.00 0.17 0.00 -0.13
15 5.1634 0.00 0.08 0.00 0.09
16 5.1634 0.00 0.11 0.00 -0.04
17 5.2152 0.00 0.09 0.00 -0.01
18 6.0482 0.00 -0.02 0.00 0.05
19 6.0484 0.00 -0.18 0.00 0.19
20 6.0489 0.00 -0.22 0.00 0.10
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.
13RU156 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 57.207 57.207 57.208 ecceobj 0.382 0.382 0.382 incobj 11.567 11.567 11.567 qmin 34.173 34.260 34.107 qmax 80.998 80.172 80.321 amean 56.498 56.368 56.459 amin 55.313 55.372 55.423 amax 57.946 57.538 57.526 emean 0.378 0.375 0.379 emin 0.357 0.359 0.364 emax 0.400 0.394 0.396 imean 9.999 10.709 10.105 imin 8.897 9.666 9.082 imax 11.227 11.720 11.227 excite_mean 0.416 0.418 0.418 fracstop 1.000 1.000 1.000 cjmean 3.030 3.027 3.028 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 176.9 171.0 172.4 kozaiamp 180.0 180.0 180.0