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: 15FR345 # Created Wed Apr 24 01:17:03 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 14 observations of 14 # Arc: 7.18y # First observation: 2015/03/17 # Last observation: 2022/05/23 # Chi-squared of fit: 19.19 DOF: 22 RMS: 0.21 # Min/Max residuals: -0.56 0.34 # Exact a, adot, b, bdot, g, gdot: 1.477842E-05 2.723471E-02 -1.779653E-06 -1.164276E-03 2.674040E-02 3.920312E-03 # Covariance matrix: 3.3081E-13 -1.8632E-13 -3.5099E-15 1.1580E-14 3.0182E-13 -1.1434E-12 -1.8632E-13 3.2310E-13 7.3260E-15 -1.8161E-14 -1.0113E-13 1.9520E-12 -3.5099E-15 7.3260E-15 1.6764E-13 -2.9296E-14 -1.7426E-15 4.5808E-14 1.1580E-14 -1.8161E-14 -2.9296E-14 1.4703E-14 1.2977E-14 -1.1876E-13 3.0182E-13 -1.0113E-13 -1.7426E-15 1.2977E-14 7.8600E-13 -1.0904E-12 -1.1434E-12 1.9520E-12 4.5808E-14 -1.1876E-13 -1.0904E-12 1.2582E-11 # lat0 lon0 xBary yBary zBary JD0 13.722060 -161.396181 0.374850 0.217959 -0.892082 2457099.023418 # Heliocentric elements and errors Epoch: 2457098.5000 = 2015/03/17 Mean Anomaly: 68.64934 +/- 0.041 Argument of Peri: 15.29758 +/- 0.044 Long of Asc Node: 98.26421 +/- 0.001 Inclination: 13.58392 +/- 0.000 Eccentricity: 0.13821781 +/- 0.0001 Semi-Major Axis: 39.58539950 +/- 0.0071 Time of Perihelion: 2439751.0810 +/- 11.3 Perihelion: 34.11399219 +/- 0.0084 Aphelion: 45.05680680 +/- 0.0099 Period (y) 249.0639 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.42379512 +/- 0.0011 Ecliptic Y -11.52762846 +/- 0.0004 Ecliptic Z 8.87088312 +/- 0.0003 Ecliptic XDOT 0.00048980 +/- 0.0000 Ecliptic YDOT -0.00278194 +/- 0.0000 Ecliptic ZDOT -0.00002050 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.29383487 +/- 0.0011 Geocenter to KBO 37.39654525 +/- 0.0012 # Hcoef: 7.04
The following table shows the complete astrometric record for 15FR345. 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 (15FR345) followed by the observatory code and reference code for the source of the astrometry.
2015 03 17.52264 13 29 26.002 +05 24 52.16 22.7R 15FR345 568 C~1w1E 2015 03 17.57883 13 29 25.757 +05 24 54.12 15FR345 568 C~1w1E 2015 03 17.63688 13 29 25.498 +05 24 56.25 15FR345 568 C~1w1E 2015 04 20.04247 13 26 46.140 +05 42 15.47 22.8R 15FR345 304 C~1w1E 2015 04 20.09280 13 26 45.892 +05 42 16.67 15FR345 304 C~1w1E 2015 05 23.13214 13 24 19.811 +05 50 56.61 15FR345 304 C~1w1E 2015 05 23.17655 13 24 19.645 +05 50 57.01 15FR345 304 C~1w1E 2016 03 08.40180 13 35 40.106 +04 40 50.06 15FR345 304 C~1w1E 2016 03 10.40206 13 35 32.600 +04 41 59.56 15FR345 304 C~1w1E 2018 04 10.28041 13 44 31.746 +03 40 33.76 22.3R 15FR345 G37 C~2bHP 2018 04 10.35721 13 44 31.369 +03 40 35.87 15FR345 G37 C~2bHP 2022 05 23.193910 14 03 05.102 +01 21 47.72 22.6G 15FR345 G37 C~5fmQ 2022 05 23.241130 14 03 04.906 +01 21 48.37 15FR345 G37 C~5fmQ 2022 05 23.287790 14 03 04.707 +01 21 48.57 15FR345 G37 C~5fmQ
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 0.34 0.00 0.10
2 0.0002 0.00 0.34 0.00 0.10
3 0.0003 0.00 0.25 0.00 0.20
4 0.0918 0.00 -0.11 0.00 -0.10
5 0.0919 0.00 -0.06 0.00 -0.17
6 0.1824 0.00 -0.13 0.00 -0.15
7 0.1825 0.00 -0.15 0.00 0.01
8 0.9771 0.00 -0.56 0.00 0.21
9 0.9826 0.00 -0.20 0.00 0.21
10 3.0657 0.00 0.06 0.00 -0.22
11 3.0659 0.00 0.11 0.00 -0.36
12 7.1832 0.00 -0.01 0.00 0.04
13 7.1833 0.00 0.05 0.00 0.21
14 7.1835 0.00 0.02 0.00 -0.06
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.
15FR345 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.233 39.233 39.233 ecceobj 0.136 0.136 0.136 incobj 13.579 13.579 13.579 qmin 33.434 33.435 33.433 qmax 45.923 45.918 45.946 amean 39.458 39.458 39.458 amin 39.051 39.055 39.049 amax 39.912 39.912 39.912 emean 0.129 0.129 0.129 emin 0.108 0.108 0.108 emax 0.152 0.152 0.153 imean 12.060 12.060 12.059 imin 11.523 11.523 11.523 imax 12.663 12.661 12.664 excite_mean 0.246 0.246 0.246 fracstop 1.000 1.000 1.000 cjmean 2.983 2.983 2.983 libcent 0 179.4 179.4 178.9 libamp 0 78.2 78.1 77.7 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 181.9 181.9 181.8 kozaiamp 179.9 179.9 179.9