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: 13FG28 # Created Wed Dec 25 02:09:20 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 21 observations of 23 # Arc: 7.92y # First observation: 2013/03/17 # Last observation: 2021/02/15 # Chi-squared of fit: 49.16 DOF: 36 RMS: 0.27 # Min/Max residuals: -0.61 0.65 # Exact a, adot, b, bdot, g, gdot: 1.712293E-05 2.982990E-02 -6.381866E-06 -1.047600E-02 2.728121E-02 -4.756551E-03 # Covariance matrix: 4.4730E-13 -1.3087E-13 -2.8535E-14 1.5204E-14 5.1185E-13 -1.6146E-13 -1.3087E-13 7.7658E-14 2.1410E-14 -1.9333E-14 -8.1166E-14 2.2302E-13 -2.8535E-14 2.1410E-14 1.4269E-13 -3.3772E-14 -1.4824E-14 7.5710E-14 1.5204E-14 -1.9333E-14 -3.3772E-14 1.6958E-14 -1.3423E-14 -8.0852E-14 5.1185E-13 -8.1166E-14 -1.4824E-14 -1.3423E-14 1.0808E-12 1.9021E-13 -1.6146E-13 2.2302E-13 7.5710E-14 -8.0852E-14 1.9021E-13 9.4918E-13 # lat0 lon0 xBary yBary zBary JD0 -8.818209 172.407144 -0.073450 -0.152153 -0.981312 2456368.614348 # Heliocentric elements and errors Epoch: 2456368.5000 = 2013/03/17 Mean Anomaly: 343.68343 +/- 0.009 Argument of Peri: 238.63165 +/- 0.012 Long of Asc Node: 329.39810 +/- 0.000 Inclination: 21.03575 +/- 0.000 Eccentricity: 0.33852676 +/- 0.0001 Semi-Major Axis: 54.43052887 +/- 0.0143 Time of Perihelion: 2463016.4615 +/- 55.3 Perihelion: 36.00433821 +/- 0.0122 Aphelion: 72.85671953 +/- 0.0206 Period (y) 401.5800 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.89765978 +/- 0.0014 Ecliptic Y 4.84641981 +/- 0.0002 Ecliptic Z -5.61950760 +/- 0.0002 Ecliptic XDOT 0.00022551 +/- 0.0000 Ecliptic YDOT -0.00305041 +/- 0.0000 Ecliptic ZDOT -0.00096559 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.63657006 +/- 0.0013 Geocenter to KBO 36.65539980 +/- 0.0014 # Hcoef: 7.07
The following table shows the complete astrometric record for 13FG28. 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 (13FG28) followed by the observatory code and reference code for the source of the astrometry.
2013 03 17.11357 11 18 10.408 -05 05 22.20 22.4r 13FG28 807 C~1Iuo 2013 03 17.17578 11 18 10.091 -05 05 20.52 13FG28 807 C~1Iuo 2013 03 17.23999 11 18 09.749 -05 05 18.68 13FG28 807 C~1Iuo 2013 05 07.98076 11 14 46.396 -04 42 32.17 13FG28 807 C~1Iuo 2013 05 08.00138 11 14 46.349 -04 42 31.72 13FG28 807 C~1Iuo 2013 05 09.01042 11 14 44.218 -04 42 11.29 13FG28 807 C~1Iuo 2013 05 09.03919 11 14 44.156 -04 42 10.84 13FG28 807 C~1Iuo 2014 04 30.99177 11 20 23.489 -05 58 33.53 22.3r 13FG28 304 C~1Iuo 2014 05 01.97990 11 20 20.627 -05 58 09.49 13FG28 304 C~1Iuo 2016 03 13.24333 11 34 53.98 -08 50 10.2 22.4R 13FG28 G37 C~1zPe 2016 03 13.29231 11 34 53.75 -08 50 08.6 13FG28 G37 C~1zPe 2016 03 29.08100 11 33 32.90 -08 42 50.6 23.6V 13FG28 W84 C~1qmq 2016 03 29.08794 11 33 32.90 -08 42 50.5 13FG28 W84 C~1qmq 2016 03 29.09488 11 33 32.89 -08 42 50.4 13FG28 W84 C~1qmq 2016 03 30.10655 11 33 27.82 -08 42 20.4 13FG28 W84 C~1qmq 2016 03 30.11349 11 33 27.82 -08 42 20.3 13FG28 W84 C~1qmq 2016 03 30.12043 11 33 27.83 -08 42 20.2 13FG28 W84 C~1qmq 2016 03 31.09992 11 33 22.94 -08 41 50.6 13FG28 W84 C~1qmq 2016 03 31.10686 11 33 22.94 -08 41 50.8 13FG28 W84 C~1qmq 2016 03 31.11380 11 33 22.95 -08 41 51.1 13FG28 W84 C~1qmq 2021 02 15.380350 12 06 03.302 -15 13 04.73 22.5G 13FG28 G37 C~4Z7u 2021 02 15.423590 12 06 03.093 -15 13 04.88 13FG28 G37 C~4Z7u 2021 02 15.485900 12 06 02.867 -15 13 03.95 13FG28 G37 C~4Z7u
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 0.05
2 0.0002 0.00 0.11 0.00 0.04
3 0.0003 0.00 -0.05 0.00 0.14
4 0.1420 0.00 -0.02 0.00 -0.06
5 0.1421 0.00 -0.03 0.00 -0.03
6 0.1448 0.00 -0.01 0.00 0.02
7 0.1449 0.00 -0.01 0.00 -0.10
8 1.1222 0.00 ( -3.11) 0.00 ( -2.06)
9 1.1249 0.00 ( -3.72) 0.00 ( -2.19)
10 2.9901 0.00 -0.15 0.00 -0.06
11 2.9902 0.00 0.28 0.00 0.30
12 3.0334 0.00 -0.57 0.00 0.12
13 3.0335 0.00 -0.05 0.00 0.02
14 3.0335 0.00 0.33 0.00 -0.09
15 3.0363 0.00 -0.61 0.00 0.04
16 3.0363 0.00 -0.09 0.00 -0.06
17 3.0363 0.00 0.59 0.00 -0.17
18 3.0390 0.00 -0.54 0.00 0.38
19 3.0390 0.00 -0.02 0.00 -0.03
20 3.0390 0.00 0.65 0.00 -0.53
21 7.9186 0.00 0.06 0.00 0.03
22 7.9187 0.00 -0.30 0.00 -0.31
23 7.9189 0.00 0.30 0.00 0.33
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.
13FG28 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 54.127 54.127 54.127 ecceobj 0.335 0.335 0.335 incobj 21.078 21.078 21.078 qmin 35.267 35.278 35.191 qmax 74.402 74.392 74.502 amean 54.397 54.398 54.390 amin 53.801 53.825 53.806 amax 55.156 55.129 55.149 emean 0.332 0.332 0.332 emin 0.318 0.316 0.315 emax 0.351 0.351 0.351 imean 22.499 22.516 22.525 imin 22.013 21.839 21.924 imax 22.974 23.047 23.052 excite_mean 0.507 0.507 0.507 fracstop 1.000 1.000 1.000 cjmean 2.895 2.896 2.895 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 177.2 178.6 179.4 kozaiamp 179.9 180.0 180.0