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: 13RQ156
# Created Sat Apr 27 01:14:54 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 30 observations of 30
# Arc: 5.16y
# First observation: 2013/09/09
# Last observation: 2018/11/08
# Chi-squared of fit: 8.21 DOF: 54 RMS: 0.09
# Min/Max residuals: -0.19 0.27
# Exact a, adot, b, bdot, g, gdot:
1.401896E-05 2.004441E-02 -4.468381E-06 -4.287910E-03 2.312776E-02 7.078911E-04
# Covariance matrix:
2.8821E-13 -7.2724E-14 -2.4340E-15 6.3327E-15 1.5888E-13 -3.0694E-13
-7.2724E-14 1.6799E-13 2.1751E-14 -3.8216E-14 1.1359E-13 1.8260E-12
-2.4340E-15 2.1751E-14 1.7865E-13 -5.0602E-14 1.8804E-14 2.6189E-13
6.3327E-15 -3.8216E-14 -5.0602E-14 2.5748E-14 -2.9609E-14 -4.5966E-13
1.5888E-13 1.1359E-13 1.8804E-14 -2.9609E-14 3.8429E-13 1.4075E-12
-3.0694E-13 1.8260E-12 2.6189E-13 -4.5966E-13 1.4075E-12 2.1962E-11
# lat0 lon0 xBary yBary zBary JD0
2.645247 -2.329330 0.198157 0.045705 -0.987410 2456544.676458
# Heliocentric elements and errors
Epoch: 2456544.5000 = 2013/09/09
Mean Anomaly: 165.42031 +/- 0.093
Argument of Peri: 359.28720 +/- 0.092
Long of Asc Node: 189.34454 +/- 0.000
Inclination: 12.32724 +/- 0.000
Eccentricity: 0.12331228 +/- 0.0001
Semi-Major Axis: 39.48160181 +/- 0.0031
Time of Perihelion: 2414907.7432 +/- 24.0
Perihelion: 34.61303560 +/- 0.0039
Aphelion: 44.35016803 +/- 0.0045
Period (y) 248.0849 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 44.13566435 +/- 0.0012
Ecliptic Y -1.99055550 +/- 0.0001
Ecliptic Z 1.99531685 +/- 0.0001
Ecliptic XDOT 0.00019731 +/- 0.0000
Ecliptic YDOT 0.00236538 +/- 0.0000
Ecliptic ZDOT -0.00050305 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.22554665 +/- 0.0012
Geocenter to KBO 43.23809460 +/- 0.0012
# Hcoef: 6.89
The following table shows the complete astrometric record for 13RQ156. 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 (13RQ156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.17568 23 47 14.679 +01 30 03.47 24.4g 13RQ156 W84 C~52RN 2013 09 30.13112 23 45 46.355 +01 19 34.09 23.3r 13RQ156 W84 C~52RN 2013 09 30.13557 23 45 46.340 +01 19 33.78 23.0i 13RQ156 W84 C~52RN 2013 10 26.02672 23 44 08.780 +01 07 10.37 23.9g 13RQ156 W84 C~52RN 2013 10 28.04236 23 44 02.394 +01 06 18.55 22.9r 13RQ156 W84 C~52RN 2013 10 28.04375 23 44 02.388 +01 06 18.73 22.8i 13RQ156 W84 C~52RN 2013 11 08.12202 23 43 31.604 +01 01 58.64 23.4r 13RQ156 W84 C~52RN 2015 11 06.07076 23 52 45.774 +01 30 21.23 22.9r 13RQ156 W84 C~52RN 2015 11 07.04933 23 52 43.098 +01 29 59.18 23.4i 13RQ156 W84 C~52RN 2015 11 07.05070 23 52 43.096 +01 29 59.04 23.4r 13RQ156 W84 C~52RN 2015 11 07.05207 23 52 43.084 +01 29 58.89 23.5g 13RQ156 W84 C~52RN 2015 11 07.05623 23 52 43.075 +01 29 58.87 23.3r 13RQ156 W84 C~52RN 2015 11 07.05760 23 52 43.073 +01 29 58.91 24.1g 13RQ156 W84 C~52RN 2016 09 11.23736 00 00 51.727 +02 10 09.22 23.0z 13RQ156 W84 C~52RN 2016 10 02.16510 23 59 23.504 +01 59 41.19 23.7r 13RQ156 W84 C~52RN 2016 10 02.16649 23 59 23.489 +01 59 41.12 23.9g 13RQ156 W84 C~52RN 2017 08 18.29952 00 06 57.371 +02 34 12.47 23.2r 13RQ156 W84 C~52RN 2017 08 18.30090 00 06 57.368 +02 34 12.58 23.2i 13RQ156 W84 C~52RN 2017 08 18.30227 00 06 57.373 +02 34 12.60 23.8g 13RQ156 W84 C~52RN 2017 09 27.18416 00 04 20.629 +02 15 56.96 23.2i 13RQ156 W84 C~52RN 2017 09 27.18554 00 04 20.614 +02 15 56.82 23.1r 13RQ156 W84 C~52RN 2017 10 11.20703 00 03 22.355 +02 08 54.47 22.4z 13RQ156 W84 C~52RN 2017 10 13.14730 00 03 14.593 +02 07 57.54 23.6g 13RQ156 W84 C~52RN 2017 10 29.15498 00 02 15.745 +02 00 33.83 23.1i 13RQ156 W84 C~52RN 2017 11 08.07280 00 01 45.568 +01 56 35.42 23.4r 13RQ156 W84 C~52RN 2017 11 08.07418 00 01 45.559 +01 56 35.24 23.8g 13RQ156 W84 C~52RN 2018 10 18.15858 00 07 30.723 +02 19 13.75 22.4z 13RQ156 W84 C~52RN 2018 10 28.17245 00 06 54.068 +02 14 38.78 23.5i 13RQ156 W84 C~52RN 2018 11 07.14231 00 06 22.325 +02 10 33.32 23.3r 13RQ156 W84 C~52RN 2018 11 08.14027 00 06 19.462 +02 10 10.66 24.2g 13RQ156 W84 C~52RN
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 -0.19 0.00 0.27
2 0.0574 0.00 0.01 0.00 0.10
3 0.0574 0.00 0.06 0.00 -0.07
4 0.1283 0.00 0.04 0.00 -0.06
5 0.1338 0.00 0.08 0.00 -0.14
6 0.1338 0.00 0.06 0.00 0.08
7 0.1641 0.00 -0.03 0.00 -0.14
8 2.1571 0.00 0.21 0.00 -0.04
9 2.1598 0.00 -0.00 0.00 0.08
10 2.1598 0.00 0.02 0.00 -0.02
11 2.1598 0.00 -0.10 0.00 -0.14
12 2.1598 0.00 -0.06 0.00 -0.07
13 2.1598 0.00 -0.04 0.00 0.00
14 3.0063 0.00 -0.05 0.00 -0.11
15 3.0636 0.00 0.06 0.00 0.11
16 3.0636 0.00 -0.08 0.00 0.08
17 3.9401 0.00 -0.06 0.00 -0.08
18 3.9401 0.00 -0.03 0.00 0.06
19 3.9401 0.00 0.11 0.00 0.12
20 4.0493 0.00 0.07 0.00 0.06
21 4.0493 0.00 -0.07 0.00 -0.04
22 4.0877 0.00 0.13 0.00 -0.04
23 4.0930 0.00 0.00 0.00 0.14
24 4.1368 0.00 0.07 0.00 -0.03
25 4.1640 0.00 0.03 0.00 0.12
26 4.1640 0.00 -0.04 0.00 -0.03
27 5.1060 0.00 -0.13 0.00 -0.04
28 5.1335 0.00 0.10 0.00 -0.17
29 5.1608 0.00 -0.02 0.00 0.01
30 5.1635 0.00 -0.00 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.
13RQ156 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.658 39.658 39.658 ecceobj 0.118 0.118 0.118 incobj 12.291 12.291 12.291 qmin 33.687 33.688 33.687 qmax 45.551 45.551 45.550 amean 39.458 39.458 39.458 amin 39.079 39.079 39.079 amax 39.868 39.870 39.867 emean 0.119 0.119 0.119 emin 0.095 0.095 0.095 emax 0.144 0.144 0.144 imean 12.757 12.757 12.757 imin 12.156 12.155 12.156 imax 13.481 13.481 13.481 excite_mean 0.251 0.251 0.251 fracstop 1.000 1.000 1.000 cjmean 2.980 2.980 2.980 libcent 0 180.8 180.8 180.7 libamp 0 64.9 65.2 64.7 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 182.0 181.9 181.9 kozaiamp 180.0 180.0 179.9