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: 13RR156
# Created Sun Apr 21 01:14:56 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 20 observations of 20
# Arc: 8.16y
# First observation: 2013/09/09
# Last observation: 2021/11/05
# Chi-squared of fit: 10.38 DOF: 34 RMS: 0.13
# Min/Max residuals: -0.40 0.26
# Exact a, adot, b, bdot, g, gdot:
1.332859E-05 1.694634E-02 7.442189E-06 9.580925E-03 2.020691E-02 1.833729E-03
# Covariance matrix:
5.0142E-13 5.7908E-15 -7.5600E-16 7.8800E-15 5.0021E-13 8.7670E-14
5.7908E-15 8.3099E-14 -2.6716E-14 4.6492E-14 9.6970E-14 6.2002E-13
-7.5600E-16 -2.6716E-14 1.2998E-13 -3.7925E-14 -2.4064E-14 -2.2843E-13
7.8800E-15 4.6492E-14 -3.7925E-14 3.9124E-14 5.0091E-14 3.9510E-13
5.0021E-13 9.6970E-14 -2.4064E-14 5.0091E-14 7.0982E-13 6.4623E-13
8.7670E-14 6.2002E-13 -2.2843E-13 3.9510E-13 6.4623E-13 5.2755E-12
# lat0 lon0 xBary yBary zBary JD0
1.192658 2.552013 0.281456 0.020235 -0.967835 2456544.682058
# Heliocentric elements and errors
Epoch: 2456544.5000 = 2013/09/09
Mean Anomaly: 18.57351 +/- 0.023
Argument of Peri: 333.48899 +/- 0.037
Long of Asc Node: 0.16794 +/- 0.000
Inclination: 29.51235 +/- 0.000
Eccentricity: 0.21329695 +/- 0.0001
Semi-Major Axis: 62.73368728 +/- 0.0132
Time of Perihelion: 2447180.9357 +/- 11.8
Perihelion: 49.35278293 +/- 0.0135
Aphelion: 76.11459163 +/- 0.0182
Period (y) 496.8890 +/- 0.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 50.40753622 +/- 0.0021
Ecliptic Y 1.96809874 +/- 0.0001
Ecliptic Z 1.03041869 +/- 0.0000
Ecliptic XDOT 0.00011274 +/- 0.0000
Ecliptic YDOT 0.00230250 +/- 0.0000
Ecliptic ZDOT 0.00130316 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 50.45639994 +/- 0.0021
Geocenter to KBO 49.48799452 +/- 0.0021
# Hcoef: 6.15
The following table shows the complete astrometric record for 13RR156. 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 (13RR156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.18128 00 07 28.167 +02 06 33.18 23.2g 13RR156 W84 C~52RN 2013 10 13.05519 00 05 17.084 +01 55 39.54 22.4z 13RR156 W84 C~52RN 2013 10 13.09058 00 05 16.962 +01 55 38.95 23.0z 13RR156 W84 C~52RN 2013 10 13.10784 00 05 16.890 +01 55 38.58 23.1i 13RR156 W84 C~52RN 2013 10 13.11626 00 05 16.871 +01 55 38.52 22.8i 13RR156 W84 C~52RN 2013 10 28.06092 00 04 24.935 +01 51 17.81 23.2r 13RR156 W84 C~52RN 2013 10 28.06231 00 04 24.933 +01 51 17.72 22.7i 13RR156 W84 C~52RN 2013 11 22.12208 00 03 21.112 +01 46 18.55 22.3z 13RR156 W84 C~52RN 2013 11 23.08993 00 03 19.424 +01 46 11.61 23.7r 13RR156 W84 C~52RN 2013 11 23.09132 00 03 19.428 +01 46 11.67 23.4i 13RR156 W84 C~52RN 2014 11 13.03961 00 06 20.915 +02 40 42.84 23.6g 13RR156 W84 C~52RN 2014 11 14.04307 00 06 18.518 +02 40 31.26 24.1r 13RR156 W84 C~52RN 2016 09 11.22732 00 15 21.397 +04 44 55.48 23.0i 13RR156 W84 C~52RN 2016 11 29.06714 00 11 06.862 +04 23 08.30 23.9g 13RR156 W84 C~52RN 2016 12 05.06053 00 10 59.453 +04 22 33.43 22.9z 13RR156 W84 C~52RN 2016 12 05.06192 00 10 59.442 +04 22 33.32 22.7i 13RR156 W84 C~52RN 2016 12 05.07978 00 10 59.428 +04 22 33.39 23.0r 13RR156 W84 C~52RN 2021 11 05.111480 00 25 19.605 +08 47 42.16 23.3G 13RR156 G37 C~5BQf 2021 11 05.161080 00 25 19.451 +08 47 41.20 13RR156 G37 C~5BQf 2021 11 05.209830 00 25 19.293 +08 47 40.28 13RR156 G37 C~5BQf
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 -0.02 0.00 0.00
2 0.0927 0.00 -0.11 0.00 -0.08
3 0.0928 0.00 0.06 0.00 -0.01
4 0.0929 0.00 -0.04 0.00 -0.06
5 0.0929 0.00 0.15 0.00 0.04
6 0.1338 0.00 0.08 0.00 0.14
7 0.1338 0.00 0.12 0.00 0.07
8 0.2024 0.00 -0.33 0.00 -0.01
9 0.2051 0.00 -0.07 0.00 -0.04
10 0.2051 0.00 0.02 0.00 0.03
11 1.1769 0.00 0.02 0.00 -0.07
12 1.1796 0.00 0.17 0.00 0.02
13 3.0063 0.00 0.04 0.00 -0.21
14 3.2221 0.00 -0.18 0.00 -0.40
15 3.2385 0.00 0.12 0.00 0.22
16 3.2386 0.00 -0.02 0.00 0.11
17 3.2386 0.00 0.06 0.00 0.26
18 8.1559 0.00 -0.01 0.00 0.04
19 8.1560 0.00 0.02 0.00 -0.01
20 8.1561 0.00 -0.04 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.
13RR156 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 63.197 63.197 63.197 ecceobj 0.219 0.219 0.219 incobj 29.423 29.423 29.423 qmin 47.716 47.717 47.716 qmax 78.634 78.647 78.617 amean 62.779 62.779 62.779 amin 62.151 62.172 62.141 amax 63.529 63.535 63.536 emean 0.219 0.219 0.219 emin 0.201 0.201 0.201 emax 0.238 0.238 0.238 imean 29.861 29.861 29.861 imin 29.524 29.524 29.525 imax 30.249 30.249 30.249 excite_mean 0.544 0.544 0.544 fracstop 1.000 1.000 1.000 cjmean 2.923 2.923 2.923 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 149.5 149.5 149.4 kozaiamp 180.0 180.0 180.0