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: 13FQ28 # Created Fri Apr 19 01:14:29 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 2.09y # First observation: 2013/03/17 # Last observation: 2015/04/20 Preliminary a, adot, b, bdot, g, gdot: 0.000009 0.009745 -0.000002 0.004632 0.015020 0.000000 # Chi-squared of fit: 12.56 DOF: 24 RMS: 0.16 # Min/Max residuals: -0.40 0.24 # Exact a, adot, b, bdot, g, gdot: 1.170876E-05 9.819497E-03 4.753961E-06 4.650207E-03 1.517790E-02 3.107812E-03 # Covariance matrix: 4.1309E-13 -3.0508E-13 1.8967E-14 -9.2596E-14 1.5917E-13 -1.0231E-11 -3.0508E-13 8.9109E-13 -1.3513E-13 5.1962E-13 3.6251E-13 5.4647E-11 1.8967E-14 -1.3513E-13 2.7971E-13 -2.7009E-13 -8.1445E-14 -1.0499E-11 -9.2596E-14 5.1962E-13 -2.7009E-13 5.7068E-13 2.7957E-13 4.0336E-11 1.5917E-13 3.6251E-13 -8.1445E-14 2.7957E-13 5.7763E-13 2.8559E-11 -1.0231E-11 5.4647E-11 -1.0499E-11 4.0336E-11 2.8559E-11 4.2412E-09 # lat0 lon0 xBary yBary zBary JD0 -5.505230 -156.112551 0.453315 -0.084996 -0.882557 2456368.783938 # Heliocentric elements and errors Epoch: 2456360.5000 = 2013/03/09 Mean Anomaly: 87.50065 +/- 0.906 Argument of Peri: 229.05324 +/- 0.535 Long of Asc Node: 214.82367 +/- 0.001 Inclination: 25.83199 +/- 0.002 Eccentricity: 0.27913204 +/- 0.0045 Semi-Major Axis: 62.79648309 +/- 0.1806 Time of Perihelion: 2412182.0779 +/- 416.0 Perihelion: 45.26797258 +/- 0.3117 Aphelion: 80.32499360 +/- 0.3655 Period (y) 497.6353 +/- 2.15 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -60.95698904 +/- 0.0030 Ecliptic Y -26.49934187 +/- 0.0013 Ecliptic Z -6.32051023 +/- 0.0003 Ecliptic XDOT 0.00012720 +/- 0.0000 Ecliptic YDOT -0.00187752 +/- 0.0000 Ecliptic ZDOT 0.00078131 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 66.76764547 +/- 0.0028 Geocenter to KBO 65.88525527 +/- 0.0033 # Hcoef: 5.94
The following table shows the complete astrometric record for 13FQ28. 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 (13FQ28) followed by the observatory code and reference code for the source of the astrometry.
2013 03 17.28316 13 20 05.240 -14 22 48.38 13FQ28 807 C~1u4x 2013 03 17.32648 13 20 05.154 -14 22 47.86 24.2r 13FQ28 807 C~1u4x 2013 03 17.37478 13 20 05.021 -14 22 47.23 13FQ28 807 C~1u4x 2013 07 07.98216 13 16 09.99 -13 50 19.86 13FQ28 304 C~1u4x 2013 07 08.03059 13 16 10.00 -13 50 19.72 13FQ28 304 C~1u4x 2013 07 08.06105 13 16 10.01 -13 50 19.54 13FQ28 304 C~1u4x 2014 03 28.26718 13 22 08.807 -14 17 33.18 13FQ28 807 C~1u4x 2014 03 28.33522 13 22 08.576 -14 17 31.91 13FQ28 807 C~1u4x 2014 03 28.37777 13 22 08.479 -14 17 31.24 13FQ28 807 C~1u4x 2014 05 01.17712 13 20 28.748 -14 06 13.47 13FQ28 304 C~1u4x 2014 05 01.21898 13 20 28.633 -14 06 12.59 24.0r 13FQ28 304 C~1u4x 2014 05 02.17901 13 20 25.922 -14 05 52.47 13FQ28 304 C~1u4x 2015 04 19.30984 13 23 37.140 -14 08 14.91 13FQ28 304 C~1u4x 2015 04 19.33311 13 23 37.050 -14 08 14.65 13FQ28 304 C~1u4x 2015 04 20.31064 13 23 34.148 -14 07 54.24 13FQ28 304 C~1u4x
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 -0.31 0.00 0.02
2 0.0001 -1.35 0.20 0.01 0.03
3 0.0003 -3.38 0.24 -0.13 -0.11
4 0.3086 -3905.05 -0.18 512.87 0.21
5 0.3087 -3904.97 -0.02 513.05 0.05
6 0.3088 -3904.91 0.08 513.27 0.05
7 1.0294 1547.16 0.03 964.70 0.11
8 1.0296 1543.57 -0.40 964.63 -0.03
9 1.0297 1542.02 0.01 964.72 0.02
10 1.1222 -56.56 0.17 1050.47 -0.21
11 1.1223 -58.44 0.23 1050.66 -0.18
12 1.1250 -102.55 -0.07 1054.51 -0.15
13 2.0891 2531.17 0.16 1961.56 0.16
14 2.0891 2529.86 -0.02 1961.32 -0.16
15 2.0918 2483.07 -0.11 1964.56 0.20
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.
13FQ28 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 62.481 63.023 61.980 ecceobj 0.279 0.292 0.266 incobj 25.885 25.883 25.886 qmin 44.301 43.887 44.820 qmax 82.378 84.043 80.814 amean 62.890 63.450 62.357 amin 62.237 62.781 61.721 amax 63.673 64.295 63.135 emean 0.277 0.293 0.264 emin 0.261 0.280 0.249 emax 0.294 0.307 0.280 imean 26.308 26.213 26.309 imin 25.959 25.963 25.997 imax 26.759 26.519 26.711 excite_mean 0.523 0.530 0.516 fracstop 1.000 1.000 1.000 cjmean 2.967 2.964 2.971 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 176.4 175.6 176.7 kozaiamp 180.0 180.0 179.9