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 Wed Jul 17 01:09:44 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 11.13y # First observation: 2013/03/17 # Last observation: 2024/05/04 # Chi-squared of fit: 23.58 DOF: 30 RMS: 0.20 # Min/Max residuals: -0.38 0.40 # Exact a, adot, b, bdot, g, gdot: 1.167506E-05 9.817935E-03 5.720433E-06 4.648066E-03 1.517681E-02 2.953944E-03 # Covariance matrix: 3.6283E-13 -1.6218E-13 5.7692E-14 -7.9948E-14 2.1277E-13 -1.5213E-12 -1.6218E-13 1.9621E-13 -7.5541E-14 1.0066E-13 1.1768E-14 1.9058E-12 5.7692E-14 -7.5541E-14 1.4994E-13 -5.4430E-14 -6.1309E-15 -7.5532E-13 -7.9948E-14 1.0066E-13 -5.4430E-14 5.8892E-14 2.8673E-15 1.0076E-12 2.1277E-13 1.1768E-14 -6.1309E-15 2.8673E-15 3.8413E-13 4.1044E-14 -1.5213E-12 1.9058E-12 -7.5532E-13 1.0076E-12 4.1044E-14 1.9079E-11 # lat0 lon0 xBary yBary zBary JD0 -5.505230 -156.112551 0.453315 -0.084996 -0.882557 2456368.783938 # Heliocentric elements and errors Epoch: 2456368.5000 = 2013/03/17 Mean Anomaly: 90.33192 +/- 0.094 Argument of Peri: 227.74347 +/- 0.057 Long of Asc Node: 214.82529 +/- 0.000 Inclination: 25.82867 +/- 0.000 Eccentricity: 0.26854056 +/- 0.0003 Semi-Major Axis: 62.38510179 +/- 0.0180 Time of Perihelion: 2411208.0248 +/- 50.8 Perihelion: 45.63217150 +/- 0.0215 Aphelion: 79.13803209 +/- 0.0285 Period (y) 492.7533 +/- 0.21 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -60.96131260 +/- 0.0025 Ecliptic Y -26.50125430 +/- 0.0011 Ecliptic Z -6.32090189 +/- 0.0003 Ecliptic XDOT 0.00015239 +/- 0.0000 Ecliptic YDOT -0.00186619 +/- 0.0000 Ecliptic ZDOT 0.00078364 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 66.77218858 +/- 0.0023 Geocenter to KBO 65.88982878 +/- 0.0027 # Hcoef: 6.05
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 2024 05 04.282550 13 45 08.775 -13 40 00.50 24.4G 13FQ28 G37 C~82mN 2024 05 04.314600 13 45 08.696 -13 39 59.92 13FQ28 G37 C~82mN 2024 05 04.346620 13 45 08.591 -13 39 59.38 13FQ28 G37 C~82mN
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 -0.36 0.00 -0.06
2 0.0001 0.00 0.13 0.00 -0.23
3 0.0003 0.00 0.12 0.00 -0.38
4 0.3086 0.00 -0.15 0.00 0.21
5 0.3087 0.00 -0.07 0.00 -0.00
6 0.3088 0.00 0.04 0.00 -0.04
7 1.0294 0.00 0.16 0.00 0.16
8 1.0296 0.00 -0.31 0.00 0.20
9 1.0297 0.00 0.10 0.00 0.09
10 1.1222 0.00 0.32 0.00 -0.23
11 1.1223 0.00 0.39 0.00 -0.23
12 1.1250 0.00 0.12 0.00 -0.08
13 2.0891 0.00 0.00 0.00 0.26
14 2.0891 0.00 -0.30 0.00 0.04
15 2.0918 0.00 -0.24 0.00 0.40
16 11.1321 0.00 -0.04 0.00 -0.00
17 11.1322 0.00 0.15 0.00 -0.03
18 11.1323 0.00 -0.05 0.00 -0.10
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 62.073 62.073 62.072 ecceobj 0.269 0.269 0.269 incobj 25.882 25.882 25.882 qmin 44.483 44.484 44.492 qmax 81.220 81.214 81.224 amean 62.446 62.448 62.446 amin 61.810 61.783 61.776 amax 63.218 63.284 63.225 emean 0.266 0.266 0.266 emin 0.246 0.246 0.247 emax 0.285 0.285 0.285 imean 26.310 26.304 26.307 imin 25.900 25.885 25.891 imax 26.839 26.847 26.824 excite_mean 0.517 0.517 0.517 fracstop 1.000 1.000 1.000 cjmean 2.970 2.970 2.970 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 180.8 181.4 181.0 kozaiamp 180.0 180.0 179.9