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: 13QR99 # Created Sun Dec 22 02:09:30 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 5.20y # First observation: 2013/08/16 # Last observation: 2018/10/28 # Chi-squared of fit: 10.53 DOF: 50 RMS: 0.11 # Min/Max residuals: -0.22 0.43 # Exact a, adot, b, bdot, g, gdot: 1.603330E-05 2.660408E-02 4.081601E-07 9.891775E-04 2.600832E-02 1.926590E-04 # Covariance matrix: 8.4602E-14 -3.2347E-14 -2.3784E-15 -3.5306E-15 6.4699E-14 -1.8187E-13 -3.2347E-14 4.9708E-13 -1.3716E-14 3.1843E-14 2.3849E-13 4.4805E-12 -2.3784E-15 -1.3716E-14 7.1017E-14 -1.8933E-14 -2.0921E-14 -1.1848E-13 -3.5306E-15 3.1843E-14 -1.8933E-14 2.2309E-14 2.6833E-15 3.0851E-13 6.4699E-14 2.3849E-13 -2.0921E-14 2.6833E-15 4.8209E-13 1.9738E-12 -1.8187E-13 4.4805E-12 -1.1848E-13 3.0851E-13 1.9738E-12 4.2246E-11 # lat0 lon0 xBary yBary zBary JD0 -33.116496 -35.062819 0.029902 -0.553807 -0.849136 2456520.749789 # Heliocentric elements and errors Epoch: 2456520.5000 = 2013/08/16 Mean Anomaly: 7.77619 +/- 0.326 Argument of Peri: 264.80987 +/- 0.355 Long of Asc Node: 51.05101 +/- 0.001 Inclination: 32.36837 +/- 0.000 Eccentricity: 0.04025789 +/- 0.0001 Semi-Major Axis: 40.93233056 +/- 0.0040 Time of Perihelion: 2454454.3459 +/- 86.7 Perihelion: 39.28448117 +/- 0.0053 Aphelion: 42.58017996 +/- 0.0056 Period (y) 261.8834 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.17221138 +/- 0.0007 Ecliptic Y -19.10399775 +/- 0.0005 Ecliptic Z -21.00645791 +/- 0.0006 Ecliptic XDOT 0.00166311 +/- 0.0000 Ecliptic YDOT 0.00224894 +/- 0.0000 Ecliptic ZDOT 0.00007627 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.30092619 +/- 0.0006 Geocenter to KBO 38.44926624 +/- 0.0010 # Hcoef: 7.29
The following table shows the complete astrometric record for 13QR99. 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 (13QR99) followed by the observatory code and reference code for the source of the astrometry.
2013 08 16.249011 22 47 35.022 -43 50 25.88 23.0i 13QR99 W84 C~3wop 2013 08 16.251777 22 47 35.008 -43 50 25.94 22.9i 13QR99 W84 C~3wop 2013 08 16.253154 22 47 34.999 -43 50 26.13 23.2i 13QR99 W84 C~3wop 2013 08 16.254543 22 47 34.980 -43 50 26.08 23.2i 13QR99 W84 C~3wop 2013 08 16.257321 22 47 34.965 -43 50 26.32 23.2i 13QR99 W84 C~3wop 2013 08 16.258687 22 47 34.960 -43 50 26.25 23.1i 13QR99 W84 C~3wop 2013 08 16.261430 22 47 34.944 -43 50 26.38 23.0i 13QR99 W84 C~3wop 2013 08 16.265550 22 47 34.915 -43 50 26.54 22.8z 13QR99 W84 C~3wop 2013 08 16.268293 22 47 34.902 -43 50 26.60 22.9z 13QR99 W84 C~3wop 2013 08 16.269659 22 47 34.890 -43 50 26.61 22.7z 13QR99 W84 C~3wop 2013 08 16.271036 22 47 34.879 -43 50 26.72 22.9z 13QR99 W84 C~3wop 2013 08 16.273779 22 47 34.867 -43 50 26.74 23.0z 13QR99 W84 C~3wop 2013 08 16.275168 22 47 34.856 -43 50 26.85 22.8z 13QR99 W84 C~3wop 2013 08 16.277911 22 47 34.832 -43 50 26.86 22.8z 13QR99 W84 C~3wop 2013 09 02.177541 22 45 44.996 -43 58 13.44 24.1g 13QR99 W84 C~3wop 2013 09 24.070434 22 43 24.314 -44 01 35.31 24.2g 13QR99 W84 C~3wop 2013 09 24.071800 22 43 24.280 -44 01 35.25 23.4r 13QR99 W84 C~3wop 2013 10 04.040266 22 42 27.05 -44 00 22.5 23.2r 13QR99 W84 C~55NU 2013 10 12.193999 22 41 45.661 -43 58 06.01 23.0i 13QR99 W84 C~3wop 2013 10 12.195377 22 41 45.656 -43 58 05.92 13QR99 W84 C~3wop 2014 08 21.232326 22 54 23.50 -43 08 05.2 23.3r 13QR99 W84 C~55NU 2014 09 03.197650 22 52 59.79 -43 13 55.3 22.8i 13QR99 W84 C~55NU 2015 10 30.03789 22 55 01.112 -42 22 23.31 23.3r 13QR99 W84 C~55NU 2017 08 16.249016 23 15 40.91 -40 40 24.9 13QR99 W84 C~4qKz 2017 08 16.250394 23 15 40.93 -40 40 24.9 13QR99 W84 C~4qKz 2017 08 16.251771 23 15 40.88 -40 40 25.2 13QR99 W84 C~4qKz 2017 10 21.07112 23 09 17.142 -40 52 17.05 23.1i 13QR99 W84 C~55NU 2018 10 28.19753 23 15 26.134 -40 00 02.57 23.0i 13QR99 W84 C~55NU
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 0.01 0.00 0.05
2 0.0000 0.00 0.07 0.00 0.08
3 0.0000 0.00 0.06 0.00 -0.06
4 0.0000 0.00 -0.09 0.00 0.04
5 0.0000 0.00 -0.05 0.00 -0.10
6 0.0000 0.00 0.01 0.00 0.01
7 0.0000 0.00 0.03 0.00 -0.02
8 0.0000 0.00 -0.01 0.00 -0.04
9 0.0001 0.00 0.06 0.00 -0.01
10 0.0001 0.00 0.01 0.00 0.03
11 0.0001 0.00 -0.03 0.00 -0.03
12 0.0001 0.00 0.06 0.00 0.04
13 0.0001 0.00 0.02 0.00 -0.02
14 0.0001 0.00 -0.07 0.00 0.06
15 0.0463 0.00 -0.17 0.00 0.12
16 0.1063 0.00 0.26 0.00 -0.04
17 0.1063 0.00 -0.13 0.00 0.02
18 0.1336 0.00 -0.07 0.00 0.17
19 0.1559 0.00 0.09 0.00 -0.18
20 0.1559 0.00 0.12 0.00 -0.12
21 1.0130 0.00 -0.07 0.00 0.05
22 1.0485 0.00 -0.06 0.00 -0.03
23 2.2034 0.00 0.01 0.00 0.19
24 4.0000 0.00 0.01 0.00 -0.03
25 4.0000 0.00 0.43 0.00 0.02
26 4.0000 0.00 -0.20 0.00 -0.22
27 4.1802 0.00 -0.02 0.00 0.06
28 5.1990 0.00 -0.12 0.00 0.04
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.
13QR99 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.083 41.083 41.083 ecceobj 0.044 0.044 0.044 incobj 32.395 32.395 32.395 qmin 38.837 38.841 38.820 qmax 43.532 43.530 43.556 amean 41.091 41.092 41.092 amin 40.785 40.787 40.787 amax 41.406 41.401 41.408 emean 0.041 0.041 0.041 emin 0.030 0.030 0.030 emax 0.052 0.052 0.052 imean 31.366 31.366 31.366 imin 31.076 31.076 31.075 imax 31.649 31.655 31.655 excite_mean 0.522 0.522 0.522 fracstop 1.000 1.000 1.000 cjmean 2.726 2.726 2.726 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 182.2 182.6 182.5 kozaiamp 179.9 180.0 179.9