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: 16QG135 # Created Thu Apr 25 01:18:03 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 5.21y # First observation: 2013/09/11 # Last observation: 2018/11/27 # Chi-squared of fit: 11.43 DOF: 44 RMS: 0.12 # Min/Max residuals: -0.32 0.34 # Exact a, adot, b, bdot, g, gdot: 1.262085E-05 1.646391E-02 4.701303E-06 6.355001E-03 2.051699E-02 -2.703540E-03 # Covariance matrix: 2.6830E-13 -1.2030E-13 1.6202E-14 -3.0146E-14 9.4409E-14 -1.0195E-12 -1.2030E-13 1.7037E-13 -4.2531E-14 6.8926E-14 4.6428E-14 2.3144E-12 1.6202E-14 -4.2531E-14 1.8823E-13 -7.3896E-14 -1.9734E-14 -6.7948E-13 -3.0146E-14 6.8926E-14 -7.3896E-14 5.7750E-14 2.4740E-14 1.0985E-12 9.4409E-14 4.6428E-14 -1.9734E-14 2.4740E-14 2.3030E-13 8.1728E-13 -1.0195E-12 2.3144E-12 -6.7948E-13 1.0985E-12 8.1728E-13 3.6883E-11 # lat0 lon0 xBary yBary zBary JD0 -11.005654 11.742737 0.399781 -0.176454 -0.907804 2456546.764498 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 262.75079 +/- 0.057 Argument of Peri: 87.42826 +/- 0.043 Long of Asc Node: 37.24012 +/- 0.001 Inclination: 23.54661 +/- 0.000 Eccentricity: 0.16669247 +/- 0.0003 Semi-Major Axis: 47.41699614 +/- 0.0055 Time of Perihelion: 2488763.3486 +/- 24.1 Perihelion: 39.51294009 +/- 0.0150 Aphelion: 55.32105218 +/- 0.0156 Period (y) 326.5196 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 47.82878691 +/- 0.0011 Ecliptic Y 9.53690978 +/- 0.0002 Ecliptic Z -9.30456217 +/- 0.0002 Ecliptic XDOT -0.00064152 +/- 0.0000 Ecliptic YDOT 0.00211072 +/- 0.0000 Ecliptic ZDOT 0.00090145 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 49.65008577 +/- 0.0011 Geocenter to KBO 48.74022047 +/- 0.0011 # Hcoef: 6.25
The following table shows the complete astrometric record for 16QG135. 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 (16QG135) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.26372 01 00 22.833 -05 29 27.09 23.0g 16QG135 W84 C~55Zd 2013 09 11.28057 01 00 22.779 -05 29 27.52 22.9r 16QG135 W84 C~55Zd 2013 11 05.03102 00 56 51.48 -05 47 08.2 23.2r 16QG135 W84 C~55Zd 2013 11 05.06907 00 56 51.33 -05 47 08.6 16QG135 W84 C~55Zd 2013 11 05.16374 00 56 51.00 -05 47 09.7 16QG135 W84 C~55Zd 2013 12 21.09437 00 55 06.191 -05 46 07.64 22.9i 16QG135 W84 C~55Zd 2014 10 03.26724 01 01 55.359 -04 55 31.16 23.5i 16QG135 W84 C~55Zd 2014 10 03.30048 01 01 55.208 -04 55 31.75 23.4g 16QG135 W84 C~55Zd 2014 11 15.09217 00 59 13.086 -05 06 22.64 23.1r 16QG135 W84 C~55Zd 2014 11 27.07086 00 58 39.121 -05 07 02.74 22.8z 16QG135 W84 C~55Zd 2015 09 04.28665 01 06 38.250 -04 01 34.45 22.8z 16QG135 W84 C~55Zd 2015 09 04.28801 01 06 38.247 -04 01 34.46 23.5i 16QG135 W84 C~55Zd 2016 08 25.411759 01 10 00.34 -03 15 22.6 22.8z 16QG135 W84 C~55Zd 2016 08 25.413148 01 10 00.36 -03 15 22.5 22.8i 16QG135 W84 C~55Zd 2016 08 26.370590 01 09 57.82 -03 15 43.1 23.0r 16QG135 W84 C~55Zd 2016 09 01.359664 01 09 40.73 -03 17 55.1 23.6g 16QG135 W84 C~55Zd 2016 10 23.163299 01 06 24.86 -03 36 39.0 23.2r 16QG135 W84 C~55Zd 2016 10 23.16521 01 06 24.876 -03 36 39.37 24.1g 16QG135 W84 C~55Zd 2016 11 05.13549 01 05 35.368 -03 39 47.55 23.7z 16QG135 W84 C~55Zd 2016 11 05.211319 01 05 35.07 -03 39 48.3 22.7i 16QG135 W84 C~55Zd 2016 11 05.212697 01 05 35.07 -03 39 48.4 23.2r 16QG135 W84 C~55Zd 2016 11 05.214063 01 05 35.06 -03 39 48.4 23.4g 16QG135 W84 C~55Zd 2017 09 03.39959 01 12 31.751 -02 35 29.35 23.7g 16QG135 W84 C~55Zd 2018 10 19.15760 01 12 37.353 -02 08 41.10 22.8z 16QG135 W84 C~55Zd 2018 11 27.10561 01 10 19.037 -02 16 17.76 23.5g 16QG135 W84 C~55Zd
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 -0.00 0.00 0.04
2 0.0000 0.00 0.09 0.00 0.02
3 0.1499 0.00 0.11 0.00 -0.05
4 0.1500 0.00 -0.09 0.00 -0.05
5 0.1503 0.00 0.06 0.00 -0.16
6 0.2761 0.00 -0.03 0.00 0.03
7 1.0596 0.00 0.21 0.00 -0.13
8 1.0596 0.00 -0.03 0.00 0.01
9 1.1768 0.00 0.01 0.00 0.00
10 1.2096 0.00 -0.06 0.00 0.11
11 1.9795 0.00 -0.02 0.00 0.02
12 1.9795 0.00 0.00 0.00 0.04
13 2.9545 0.00 -0.27 0.00 -0.07
14 2.9546 0.00 0.08 0.00 0.06
15 2.9572 0.00 0.16 0.00 0.01
16 2.9736 0.00 -0.12 0.00 0.02
17 3.1154 0.00 -0.32 0.00 0.34
18 3.1154 0.00 0.03 0.00 0.00
19 3.1509 0.00 0.17 0.00 -0.04
20 3.1511 0.00 -0.10 0.00 0.11
21 3.1511 0.00 -0.03 0.00 0.03
22 3.1511 0.00 -0.10 0.00 0.04
23 3.9785 0.00 0.09 0.00 -0.12
24 5.1031 0.00 0.22 0.00 -0.24
25 5.2097 0.00 0.06 0.00 0.05
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.
16QG135 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 47.653 47.652 47.653 ecceobj 0.163 0.163 0.163 incobj 23.499 23.499 23.499 qmin 38.892 38.894 38.941 qmax 56.294 56.254 56.285 amean 47.391 47.395 47.392 amin 46.978 46.979 46.982 amax 47.883 47.880 47.862 emean 0.159 0.159 0.159 emin 0.143 0.143 0.143 emax 0.177 0.176 0.177 imean 23.062 23.085 23.074 imin 22.709 22.712 22.699 imax 23.430 23.451 23.436 excite_mean 0.423 0.423 0.423 fracstop 1.000 1.000 1.000 cjmean 2.915 2.915 2.915 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 185.9 184.5 184.7 kozaiamp 180.0 180.0 180.0