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: 13GY136 # Created Fri Nov 22 02:09:24 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 46 observations of 46 # Arc: 8.18y # First observation: 2013/03/07 # Last observation: 2021/05/12 # Chi-squared of fit: 19.55 DOF: 86 RMS: 0.12 # Min/Max residuals: -0.55 0.30 # Exact a, adot, b, bdot, g, gdot: 1.933430E-05 3.343560E-02 2.258603E-06 6.391904E-03 2.842706E-02 -7.157433E-03 # Covariance matrix: 1.1607E-13 -5.4310E-14 5.9970E-15 -1.0121E-14 6.4143E-14 -1.8078E-13 -5.4310E-14 8.2895E-14 -9.6206E-15 1.6375E-14 4.5561E-15 2.9750E-13 5.9970E-15 -9.6206E-15 4.6141E-14 -1.1023E-14 -4.3782E-17 -3.7114E-14 -1.0121E-14 1.6375E-14 -1.1023E-14 9.1565E-15 2.0488E-16 6.3161E-14 6.4143E-14 4.5561E-15 -4.3782E-17 2.0488E-16 1.0055E-13 8.3643E-15 -1.8078E-13 2.9750E-13 -3.7114E-14 6.3161E-14 8.3643E-15 1.1471E-12 # lat0 lon0 xBary yBary zBary JD0 -0.457263 -140.053588 0.791242 -0.004748 -0.599673 2456359.058558 # Heliocentric elements and errors Epoch: 2456358.5000 = 2013/03/07 Mean Anomaly: 341.19794 +/- 0.003 Argument of Peri: 43.98906 +/- 0.007 Long of Asc Node: 221.01379 +/- 0.000 Inclination: 10.89411 +/- 0.000 Eccentricity: 0.41152820 +/- 0.0000 Semi-Major Axis: 55.31289252 +/- 0.0044 Time of Perihelion: 2464206.1750 +/- 17.2 Perihelion: 32.55007756 +/- 0.0034 Aphelion: 78.07570748 +/- 0.0066 Period (y) 411.3843 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -27.93446633 +/- 0.0003 Ecliptic Y -22.36233145 +/- 0.0002 Ecliptic Z -0.28064911 +/- 0.0000 Ecliptic XDOT 0.00258606 +/- 0.0000 Ecliptic YDOT -0.00202865 +/- 0.0000 Ecliptic ZDOT 0.00062123 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.78404659 +/- 0.0003 Geocenter to KBO 35.17791086 +/- 0.0004 # Hcoef: 7.59
The following table shows the complete astrometric record for 13GY136. 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 (13GY136) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.55778 14 29 33.388 -15 13 52.42 13GY136 568 C~1XRW 2013 03 07.56275 14 29 33.373 -15 13 52.59 23.2r 13GY136 568 C~1XRW 2013 04 04.55875 14 27 48.028 -15 03 50.64 23.1r 13GY136 568 C~1XRW 2013 04 07.41899 14 27 34.442 -15 02 34.48 23.2r 13GY136 568 C~1XRW 2013 04 07.46275 14 27 34.230 -15 02 33.45 22.7r 13GY136 568 C~1XRW 2013 04 07.46759 14 27 34.204 -15 02 33.29 22.9r 13GY136 568 C~1XRW 2013 04 07.47260 14 27 34.169 -15 02 33.36 22.7r 13GY136 568 C~1XRW 2013 04 07.47750 14 27 34.148 -15 02 33.04 23.0r 13GY136 568 C~1XRW 2013 04 08.45133 14 27 29.439 -15 02 06.61 22.9r 13GY136 568 C~1XRW 2013 04 08.49654 14 27 29.206 -15 02 05.34 22.7r 13GY136 568 C~1XRW 2013 04 09.39790 14 27 24.807 -15 01 40.69 22.9r 13GY136 568 C~1XRW 2013 04 09.44107 14 27 24.597 -15 01 39.49 22.9r 13GY136 568 C~1XRW 2013 04 09.48468 14 27 24.371 -15 01 38.29 23.0r 13GY136 568 C~1XRW 2013 05 11.48618 14 24 37.879 -14 46 02.65 23.2r 13GY136 568 C~1XRW 2013 05 12.48847 14 24 32.727 -14 45 33.32 23.1r 13GY136 568 C~1XRW 2013 06 12.38358 14 22 16.262 -14 32 09.80 23.1r 13GY136 568 C~1XRW 2013 06 12.42921 14 22 16.099 -14 32 08.78 23.0r 13GY136 568 C~1XRW 2013 07 06.26578 14 21 18.826 -14 25 40.34 13GY136 568 C~1XRW 2013 07 07.29286 14 21 17.573 -14 25 29.59 13GY136 568 C~1XRW 2013 08 02.27848 14 21 22.595 -14 24 01.55 23.3r 13GY136 568 C~1XRW 2013 08 05.27930 14 21 27.817 -14 24 14.60 23.4r 13GY136 568 C~1XRW 2014 02 01.63271 14 37 59.266 -15 32 37.19 23.2r 13GY136 568 C~1XRW 2014 02 02.63050 14 38 00.516 -15 32 39.50 23.1r 13GY136 568 C~1XRW 2014 02 03.57515 14 38 01.590 -15 32 41.04 23.1r 13GY136 568 C~1XRW 2014 02 25.59980 14 37 57.747 -15 31 03.68 23.2r 13GY136 568 C~1XRW 2014 02 28.54777 14 37 53.144 -15 30 31.34 23.2r 13GY136 568 C~1XRW 2014 04 04.45085 14 35 57.684 -15 19 19.44 23.1r 13GY136 568 C~1XRW 2014 04 04.49069 14 35 57.500 -15 19 18.40 22.9r 13GY136 568 C~1XRW 2014 04 05.57974 14 35 52.422 -15 18 50.22 23.3r 13GY136 568 C~1XRW 2014 04 30.13625 14 33 46.94 -15 07 21.9 23.1V 13GY136 W84 C~2fc7 2014 05 01.12293 14 33 41.66 -15 06 53.0 13GY136 W84 C~2fc7 2014 05 01.19265 14 33 41.27 -15 06 51.0 13GY136 W84 C~2fc7 2014 05 22.42509 14 31 50.752 -14 56 40.85 23.1r 13GY136 568 C~1XRW 2014 05 25.35772 14 31 36.546 -14 55 21.51 23.1r 13GY136 568 C~1XRW 2014 06 26.34615 14 29 36.607 -14 43 40.05 22.9r 13GY136 568 C~1XRW 2014 07 18.30910 14 29 05.946 -14 39 48.13 23.2r 13GY136 568 C~1XRW 2015 01 26.61229 14 45 52.384 -15 46 03.34 23.5r 13GY136 568 C~1XRW 2015 04 18.40695 14 43 07.856 -15 27 46.25 22.9r 13GY136 568 C~2KOF 2015 04 20.42535 14 42 57.378 -15 26 50.11 22.8r 13GY136 568 C~2KOF 2015 04 20.43040 14 42 57.351 -15 26 49.89 24.8u 13GY136 568 C~2KOF 2015 04 20.46573 14 42 57.157 -15 26 48.98 22.9r 13GY136 568 C~2KOF 2019 05 06.324460 15 16 08.99 -16 08 26.0 23.3G 13GY136 705 C~39oa 2019 05 06.360750 15 16 08.77 -16 08 24.6 22.8G 13GY136 705 C~39oa 2021 05 12.319870 15 33 37.737 -16 23 00.87 22.7G 13GY136 G37 C~4pUQ 2021 05 12.384750 15 33 37.379 -16 22 59.04 13GY136 G37 C~4pUQ 2021 05 12.416260 15 33 37.180 -16 22 58.37 13GY136 G37 C~4pUQ
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 -0.06 0.00 0.30
2 0.0000 0.00 -0.08 0.00 0.05
3 0.0767 0.00 0.03 0.00 0.01
4 0.0845 0.00 0.08 0.00 0.04
5 0.0846 0.00 0.13 0.00 -0.11
6 0.0846 0.00 0.10 0.00 -0.08
7 0.0846 0.00 -0.05 0.00 -0.28
8 0.0847 0.00 -0.01 0.00 -0.10
9 0.0873 0.00 0.11 0.00 -0.06
10 0.0874 0.00 -0.01 0.00 -0.02
11 0.0899 0.00 -0.05 0.00 -0.01
12 0.0900 0.00 0.04 0.00 0.02
13 0.0901 0.00 -0.07 0.00 0.02
14 0.1778 0.00 0.00 0.00 -0.04
15 0.1805 0.00 -0.04 0.00 -0.06
16 0.2651 0.00 -0.11 0.00 0.04
17 0.2652 0.00 -0.14 0.00 0.08
18 0.3305 0.00 0.04 0.00 -0.05
19 0.3333 0.00 0.13 0.00 -0.05
20 0.4044 0.00 -0.11 0.00 -0.06
21 0.4127 0.00 0.03 0.00 -0.07
22 0.9064 0.00 -0.06 0.00 0.05
23 0.9092 0.00 0.01 0.00 -0.01
24 0.9118 0.00 -0.05 0.00 0.08
25 0.9721 0.00 0.12 0.00 -0.02
26 0.9801 0.00 0.01 0.00 0.05
27 1.0757 0.00 0.04 0.00 0.04
28 1.0758 0.00 0.09 0.00 0.07
29 1.0788 0.00 -0.17 0.00 0.30
30 1.1460 0.00 -0.07 0.00 0.02
31 1.1487 0.00 -0.01 0.00 -0.03
32 1.1489 0.00 -0.16 0.00 -0.07
33 1.2070 0.00 0.05 0.00 0.10
34 1.2151 0.00 0.07 0.00 -0.10
35 1.3026 0.00 0.09 0.00 -0.01
36 1.3628 0.00 -0.01 0.00 0.00
37 1.8893 0.00 0.27 0.00 0.16
38 2.1132 0.00 0.02 0.00 -0.02
39 2.1187 0.00 0.03 0.00 -0.02
40 2.1187 0.00 0.03 0.00 0.06
41 2.1188 0.00 -0.06 0.00 -0.02
42 6.1623 0.00 -0.00 0.00 -0.55
43 6.1624 0.00 -0.22 0.00 -0.10
44 8.1800 0.00 -0.06 0.00 0.02
45 8.1802 0.00 0.20 0.00 0.25
46 8.1803 0.00 -0.05 0.00 0.14
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.
13GY136 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 55.065 55.065 55.066 ecceobj 0.410 0.410 0.410 incobj 10.909 10.909 10.909 qmin 31.842 31.847 31.850 qmax 80.302 80.364 80.356 amean 55.462 55.462 55.462 amin 54.688 54.715 54.719 amax 56.419 56.409 56.436 emean 0.411 0.411 0.411 emin 0.397 0.397 0.397 emax 0.426 0.426 0.426 imean 11.979 11.987 11.975 imin 11.232 11.243 11.231 imax 12.558 12.560 12.559 excite_mean 0.460 0.460 0.460 fracstop 1.000 1.000 1.000 cjmean 2.963 2.963 2.963 libcent 0 179.5 179.4 179.6 libamp 0 90.1 89.6 90.0 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 108.0 107.1 108.6 kozaiamp 76.8 75.6 77.7