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: 15QL34 # Created Fri Nov 22 02:10:25 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 5.07y # First observation: 2013/11/05 # Last observation: 2018/12/02 # Chi-squared of fit: 2.89 DOF: 30 RMS: 0.07 # Min/Max residuals: -0.10 0.18 # Exact a, adot, b, bdot, g, gdot: 1.779702E-05 3.281180E-02 -6.344007E-06 -1.212872E-02 2.875560E-02 4.745414E-03 # Covariance matrix: 4.7668E-13 -2.2916E-13 -3.0187E-14 4.9543E-14 -1.5553E-13 -8.1570E-13 -2.2916E-13 3.3023E-13 6.7742E-14 -1.1455E-13 -1.2125E-15 1.9741E-12 -3.0187E-14 6.7742E-14 3.7274E-13 -1.1478E-13 -4.1331E-15 4.4630E-13 4.9543E-14 -1.1455E-13 -1.1478E-13 7.2671E-14 1.1334E-14 -7.5753E-13 -1.5553E-13 -1.2125E-15 -4.1331E-15 1.1334E-14 4.5170E-13 -3.0565E-13 -8.1570E-13 1.9741E-12 4.4630E-13 -7.5753E-13 -3.0565E-13 1.3128E-11 # lat0 lon0 xBary yBary zBary JD0 -17.173999 12.050551 -0.500881 -0.252182 -0.816391 2456601.516448 # Heliocentric elements and errors Epoch: 2456602.5000 = 2013/11/06 Mean Anomaly: 12.79895 +/- 0.007 Argument of Peri: 190.92355 +/- 0.015 Long of Asc Node: 154.74250 +/- 0.000 Inclination: 25.99724 +/- 0.000 Eccentricity: 0.38271291 +/- 0.0001 Semi-Major Axis: 55.49511121 +/- 0.0122 Time of Perihelion: 2451234.0093 +/- 3.4 Perihelion: 34.25641554 +/- 0.0110 Aphelion: 76.73380687 +/- 0.0187 Period (y) 413.4189 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.22332788 +/- 0.0008 Ecliptic Y 7.60780693 +/- 0.0002 Ecliptic Z -10.26866475 +/- 0.0002 Ecliptic XDOT -0.00056970 +/- 0.0000 Ecliptic YDOT 0.00307246 +/- 0.0000 Ecliptic ZDOT -0.00123657 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.59644444 +/- 0.0007 Geocenter to KBO 34.77578233 +/- 0.0008 # Hcoef: 7.27
The following table shows the complete astrometric record for 15QL34. 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 (15QL34) followed by the observatory code and reference code for the source of the astrometry.
2013 11 05.01567 01 11 18.27 -11 02 39.1 23.2r 15QL34 W84 C~55We 2013 11 05.05474 01 11 18.08 -11 02 39.8 15QL34 W84 C~55We 2013 11 05.14797 01 11 17.65 -11 02 41.6 15QL34 W84 C~55We 2015 08 23.38675 01 32 48.364 -10 00 05.61 23.1i 15QL34 W84 C~55We 2015 09 13.26977 01 31 41.777 -10 16 20.73 21.7i 15QL34 W84 C~55We 2016 10 03.27896 01 38 03.522 -10 23 24.22 22.6r 15QL34 W84 C~55We 2016 10 03.28033 01 38 03.514 -10 23 24.32 22.2i 15QL34 W84 C~55We 2016 10 03.28170 01 38 03.520 -10 23 24.34 23.4g 15QL34 W84 C~55We 2016 11 30.06582 01 33 35.152 -10 44 55.12 24.1g 15QL34 W84 C~55We 2017 11 18.16864 01 42 09.277 -10 35 25.02 22.8r 15QL34 W84 C~55We 2017 11 18.17001 01 42 09.276 -10 35 25.06 22.3i 15QL34 W84 C~55We 2017 11 18.17138 01 42 09.279 -10 35 25.11 23.4g 15QL34 W84 C~55We 2017 11 27.18466 01 41 32.893 -10 36 24.37 22.7i 15QL34 W84 C~55We 2017 12 22.12613 01 40 25.033 -10 33 05.97 22.9r 15QL34 W84 C~55We 2018 10 21.21041 01 52 08.990 -10 15 53.75 21.7z 15QL34 W84 C~55We 2018 11 15.24108 01 50 05.772 -10 25 35.97 22.5i 15QL34 W84 C~55We 2018 11 15.24246 01 50 05.765 -10 25 35.94 23.2r 15QL34 W84 C~55We 2018 12 02.09989 01 48 56.805 -10 27 24.23 24.2g 15QL34 W84 C~55We
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 0.07 0.00 -0.04
2 0.0001 0.00 -0.05 0.00 0.02
3 0.0004 0.00 0.01 0.00 0.01
4 1.7970 0.00 -0.05 0.00 -0.03
5 1.8542 0.00 -0.06 0.00 0.15
6 2.9111 0.00 -0.00 0.00 0.05
7 2.9111 0.00 -0.02 0.00 0.01
8 2.9111 0.00 0.17 0.00 0.04
9 3.0693 0.00 -0.08 0.00 -0.10
10 4.0360 0.00 -0.03 0.00 -0.02
11 4.0360 0.00 0.04 0.00 -0.04
12 4.0360 0.00 0.18 0.00 -0.08
13 4.0607 0.00 0.01 0.00 -0.08
14 4.1290 0.00 -0.01 0.00 -0.02
15 4.9588 0.00 -0.05 0.00 -0.01
16 5.0273 0.00 -0.01 0.00 -0.02
17 5.0273 0.00 -0.02 0.00 0.03
18 5.0735 0.00 0.01 0.00 0.17
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.
15QL34 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE Type: 5:2EII 5:2EII 5:2EII axisobj 55.989 55.990 55.989 ecceobj 0.389 0.389 0.389 incobj 25.943 25.943 25.943 qmin 33.844 33.844 33.844 qmax 78.111 78.111 78.110 amean 55.461 55.461 55.461 amin 54.805 54.805 54.805 amax 56.277 56.277 56.277 emean 0.323 0.323 0.323 emin 0.225 0.225 0.225 emax 0.390 0.390 0.390 imean 27.485 27.485 27.485 imin 24.802 24.802 24.802 imax 30.641 30.641 30.641 excite_mean 0.566 0.566 0.566 fracstop 1.000 1.000 1.000 cjmean 2.818 2.818 2.818 libcent 0 163.6 163.3 163.9 libamp 0 119.9 120.0 119.7 libcent 1 228.8 228.8 228.6 libamp 1 122.3 122.4 122.2 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 202.4 202.4 202.4 kozaiamp 15.3 15.3 15.3