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: 13RU155
# Created Fri Apr 26 01:14:55 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 24 observations of 24
# Arc: 5.08y
# First observation: 2013/09/02
# Last observation: 2018/10/01
# Chi-squared of fit: 10.87 DOF: 42 RMS: 0.12
# Min/Max residuals: -0.24 0.28
# Exact a, adot, b, bdot, g, gdot:
1.699099E-05 2.602145E-02 -4.406016E-07 3.400732E-04 2.533908E-02 7.152265E-04
# Covariance matrix:
3.2523E-13 -7.6058E-15 9.2341E-16 6.7943E-16 2.7448E-13 3.3152E-13
-7.6058E-15 2.0630E-13 -4.1722E-16 2.6572E-15 2.4849E-13 1.7136E-12
9.2341E-16 -4.1722E-16 1.7803E-13 -4.8279E-14 1.0585E-15 -4.1508E-15
6.7943E-16 2.6572E-15 -4.8279E-14 2.0078E-14 3.7030E-15 2.4415E-14
2.7448E-13 2.4849E-13 1.0585E-15 3.7030E-15 6.8210E-13 2.2182E-12
3.3152E-13 1.7136E-12 -4.1508E-15 2.4415E-14 2.2182E-12 1.5778E-11
# lat0 lon0 xBary yBary zBary JD0
1.670122 -7.449563 0.226041 0.028775 -0.984053 2456537.746748
# Heliocentric elements and errors
Epoch: 2456538.5000 = 2013/09/03
Mean Anomaly: 12.76065 +/- 0.098
Argument of Peri: 49.76697 +/- 0.117
Long of Asc Node: 287.40436 +/- 0.009
Inclination: 1.80028 +/- 0.000
Eccentricity: 0.08239100 +/- 0.0001
Semi-Major Axis: 43.96524529 +/- 0.0052
Time of Perihelion: 2452764.2305 +/- 28.9
Perihelion: 40.34290479 +/- 0.0058
Aphelion: 47.58758578 +/- 0.0065
Period (y) 291.5228 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 40.06170357 +/- 0.0013
Ecliptic Y -5.46319148 +/- 0.0002
Ecliptic Z 1.15017519 +/- 0.0000
Ecliptic XDOT 0.00043388 +/- 0.0000
Ecliptic YDOT 0.00277688 +/- 0.0000
Ecliptic ZDOT 0.00003912 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.44883721 +/- 0.0013
Geocenter to KBO 39.46475034 +/- 0.0013
# Hcoef: 7.11
The following table shows the complete astrometric record for 13RU155. 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 (13RU155) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.24597 23 29 59.843 -01 25 18.21 23.9g 13RU155 W84 C~52RL 2013 09 11.26712 23 29 18.972 -01 29 35.96 24.3g 13RU155 W84 C~52RL 2013 09 30.12209 23 27 53.645 -01 38 46.98 23.0r 13RU155 W84 C~52RL 2013 09 30.12507 23 27 53.627 -01 38 47.07 22.8i 13RU155 W84 C~52RL 2013 10 12.10619 23 27 03.558 -01 44 18.90 21.8z 13RU155 W84 C~52RL 2013 10 13.08587 23 26 59.712 -01 44 44.71 23.0i 13RU155 W84 C~52RL 2013 11 08.13356 23 25 38.322 -01 54 10.50 22.9r 13RU155 W84 C~52RL 2014 10 27.17110 23 31 35.543 -01 14 12.26 23.2r 13RU155 W84 C~52RL 2015 11 06.04200 23 36 30.977 -00 41 29.77 23.1i 13RU155 W84 C~52RL 2015 11 08.04459 23 36 25.847 -00 42 07.09 23.7r 13RU155 W84 C~52RL 2015 11 08.04598 23 36 25.850 -00 42 07.08 24.2g 13RU155 W84 C~52RL 2016 08 15.26293 23 47 28.081 +00 30 49.84 22.7z 13RU155 W84 C~52RL 2016 10 05.12376 23 43 47.592 +00 07 29.49 22.9i 13RU155 W84 C~52RL 2016 10 05.12513 23 43 47.607 +00 07 29.34 23.0r 13RU155 W84 C~52RL 2016 10 06.05178 23 43 43.586 +00 07 02.54 22.9z 13RU155 W84 C~52RL 2016 11 23.25218 23 41 17.11 -00 10 10.0 23.1z 13RU155 T09 C~7bI8 2016 11 23.28832 23 41 17.07 -00 10 10.1 23.6z 13RU155 T09 C~7bI8 2016 11 23.32098 23 41 17.01 -00 10 10.8 23.0z 13RU155 T09 C~7bI8 2017 09 27.15112 23 49 48.982 +00 47 41.54 22.8i 13RU155 W84 C~52RL 2017 11 15.06718 23 46 52.259 +00 27 28.56 23.6g 13RU155 W84 C~52RL 2017 11 25.04688 23 46 35.345 +00 25 14.83 22.6z 13RU155 W84 C~52RL 2018 09 11.25017 23 56 27.161 +01 31 42.92 23.5r 13RU155 W84 C~52RL 2018 09 17.28275 23 55 59.886 +01 28 48.87 22.7i 13RU155 W84 C~52RL 2018 10 01.23177 23 54 56.343 +01 21 56.12 22.4z 13RU155 W84 C~52RL
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 -0.20 0.00 0.06
2 0.0247 0.00 0.03 0.00 0.19
3 0.0763 0.00 0.11 0.00 -0.00
4 0.0763 0.00 0.04 0.00 -0.01
5 0.1091 0.00 0.21 0.00 0.05
6 0.1118 0.00 0.07 0.00 0.01
7 0.1831 0.00 -0.24 0.00 -0.12
8 1.1497 0.00 -0.09 0.00 -0.11
9 2.1760 0.00 0.08 0.00 0.07
10 2.1815 0.00 -0.02 0.00 -0.05
11 2.1815 0.00 0.08 0.00 -0.01
12 2.9514 0.00 0.05 0.00 -0.09
13 3.0907 0.00 -0.20 0.00 0.08
14 3.0907 0.00 0.12 0.00 -0.03
15 3.0932 0.00 -0.02 0.00 -0.13
16 3.2252 0.00 -0.02 0.00 -0.14
17 3.2253 0.00 0.12 0.00 0.15
18 3.2254 0.00 -0.12 0.00 -0.20
19 4.0682 0.00 0.18 0.00 -0.06
20 4.2021 0.00 -0.15 0.00 0.05
21 4.2294 0.00 0.23 0.00 0.28
22 5.0240 0.00 -0.04 0.00 -0.01
23 5.0405 0.00 0.02 0.00 0.03
24 5.0787 0.00 -0.12 0.00 0.03
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.
13RU155 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.213 44.212 44.213 ecceobj 0.088 0.088 0.088 incobj 1.800 1.800 1.800 qmin 39.547 39.541 39.554 qmax 48.842 48.840 48.842 amean 44.033 44.033 44.033 amin 43.677 43.677 43.677 amax 44.423 44.422 44.423 emean 0.083 0.083 0.083 emin 0.066 0.066 0.066 emax 0.099 0.099 0.099 imean 3.595 3.595 3.595 imin 2.872 2.872 2.872 imax 4.266 4.266 4.266 excite_mean 0.104 0.104 0.104 fracstop 1.000 1.000 1.000 cjmean 3.089 3.089 3.089 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 179.2 179.2 179.3 kozaiamp 179.9 179.9 179.9