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: 13SY99 # Created Thu Apr 25 01:14:58 2024 # Orbit generated from Bernstein formalism # Fitting 32 observations of 34 # Arc: 4.30y # First observation: 2013/09/05 # Last observation: 2017/12/25 Preliminary a, adot, b, bdot, g, gdot: -0.000030 0.017150 -0.000008 0.001200 0.016704 0.000000 # Chi-squared of fit: 11.44 DOF: 58 RMS: 0.11 # Min/Max residuals: -0.26 0.35 # Exact a, adot, b, bdot, g, gdot: 1.673605E-05 1.693280E-02 -9.491699E-07 1.179865E-03 1.667002E-02 -7.598615E-03 # Covariance matrix: 1.4489E-13 2.2961E-14 -1.0705E-15 4.4518E-15 1.2345E-13 1.2054E-12 2.2961E-14 2.8393E-13 -5.1368E-15 2.2296E-14 2.1272E-13 5.6781E-12 -1.0705E-15 -5.1368E-15 8.6304E-14 -3.3260E-14 -4.1726E-15 -1.1325E-13 4.4518E-15 2.2296E-14 -3.3260E-14 2.8277E-14 1.7787E-14 4.9166E-13 1.2345E-13 2.1272E-13 -4.1726E-15 1.7787E-14 3.0416E-13 4.6490E-12 1.2054E-12 5.6781E-12 -1.1325E-13 4.9166E-13 4.6490E-12 1.2518E-10 # lat0 lon0 xBary yBary zBary JD0 -1.389036 11.090105 0.479817 -0.021474 -0.887598 2456540.930718 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 359.32555 +/- 0.013 Argument of Peri: 32.21826 +/- 0.041 Long of Asc Node: 29.51042 +/- 0.002 Inclination: 4.22551 +/- 0.001 Eccentricity: 0.93653086 +/- 0.0008 Semi-Major Axis: 786.37399779 +/- 10.2145 Time of Perihelion: 2471630.5966 +/- 4.4 Perihelion: 49.91048300 +/- 0.9310 Aphelion: 1522.83751259 +/- 19.7919 Period (y) 22052.1998 +/- 429.66 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 59.81352150 +/- 0.0019 Ecliptic Y 11.23882204 +/- 0.0004 Ecliptic Z -1.45418851 +/- 0.0001 Ecliptic XDOT -0.00176082 +/- 0.0000 Ecliptic YDOT 0.00248888 +/- 0.0000 Ecliptic ZDOT 0.00022411 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 60.87760786 +/- 0.0019 Geocenter to KBO 59.98792649 +/- 0.0020 # Hcoef: 6.67
The following table shows the complete astrometric record for 13SY99. 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 (13SY99) followed by the observatory code and reference code for the source of the astrometry.
2013 09 05.42994 00 42 57.494 +03 06 35.44 24.6r 13SY99 568 C~2Cgv 2013 09 05.46880 00 42 57.411 +03 06 34.37 24.7r 13SY99 568 C~2Cgv 2013 09 29.36094 00 41 48.493 +02 59 23.40 25.0r 13SY99 568 C~2Cgv 2013 09 29.39977 00 41 48.384 +02 59 22.64 24.5r 13SY99 568 C~2Cgv 2013 09 29.44359 00 41 48.244 +02 59 22.30 24.1r 13SY99 568 C~2Cgv 2013 09 29.44819 00 41 48.219 +02 59 21.58 24.4r 13SY99 568 C~2Cgv 2013 09 29.45297 00 41 48.231 +02 59 21.73 24.2r 13SY99 568 C~2Cgv 2013 09 29.45785 00 41 48.222 +02 59 21.40 24.0r 13SY99 568 C~2Cgv 2013 09 29.46414 00 41 48.192 +02 59 21.22 24.0r 13SY99 568 C~2Cgv 2013 09 29.46913 00 41 48.155 +02 59 21.27 24.3r 13SY99 568 C~2Cgv 2013 09 29.50184 00 41 48.071 +02 59 20.69 13SY99 568 C~2Cgv 2013 10 05.35958 00 41 30.094 +02 57 30.39 13SY99 568 C~2Cgv 2013 10 06.36797 00 41 27.006 +02 57 11.33 24.3r 13SY99 568 C~2Cgv 2013 10 06.43244 00 41 26.801 +02 57 10.12 13SY99 568 C~2Cgv 2013 10 07.35479 00 41 23.974 +02 56 52.98 23.7r 13SY99 568 C~2Cgv 2013 10 09.49249 00 41 17.401 +02 56 13.38 24.0r 13SY99 568 C~2Cgv 2013 11 27.29243 00 39 15.583 +02 44 29.24 24.5r 13SY99 568 C~2Cgv 2013 11 27.33867 00 39 15.514 +02 44 28.70 24.6r 13SY99 568 C~2Cgv 2013 12 05.24094 00 39 05.012 +02 43 37.85 24.6r 13SY99 568 C~2Cgv 2014 12 17.28612 00 42 22.061 +03 09 24.05 24.3r 13SY99 568 C~2Cgv 2015 01 17.25897 00 42 38.186 +03 12 13.76 24.7r 13SY99 568 C~2Cgv 2015 10 09.40506 00 48 21.533 +03 50 04.59 24.6w 13SY99 568 C~2Cgv 2015 10 09.44841 00 48 21.396 +03 50 03.69 24.9w 13SY99 568 C~2Cgv 2015 10 09.49091 00 48 21.254 +03 50 02.90 24.5w 13SY99 568 C~2Cgv 2015 11 17.26167 00 46 33.474 +03 39 31.74 13SY99 568 C~2Cgv 2015 12 07.39899 00 45 59.672 +03 36 35.37 24.7w 13SY99 568 C~2Cgv 2015 12 31.22796 00 45 50.095 +03 36 24.35 24.9w 13SY99 568 C~2Cgv 2016 07 07.58727 00 54 45.567 +04 35 04.09 24.8w 13SY99 568 C~2Cgv 2016 07 08.56666 00 54 46.071 +04 35 06.70 24.7w 13SY99 568 C~2Cgv 2016 07 08.57071 00 54 46.069 +04 35 06.83 24.7w 13SY99 568 C~2Cgv 2016 07 08.57475 00 54 46.063 +04 35 06.65 24.9w 13SY99 568 C~2Cgv 2016 11 04.31217 00 50 38.082 +04 09 35.20 24.7w 13SY99 568 C~2Cgv 2016 11 04.37124 00 50 37.921 +04 09 34.41 24.5w 13SY99 568 C~2Cgv 2017 12 25.230644 00 52 56.80 +04 30 21.1 13SY99 568 C~5XdS
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 ( -0.14) 0.00 ( 0.43)
2 0.0001 -1.56 -0.02 -0.50 -0.09
3 0.0655 -1120.21 -0.16 6.53 0.13
4 0.0656 -1122.01 -0.01 6.47 0.03
5 0.0657 -1124.07 ( 0.13) 6.98 ( 0.50)
6 0.0658 -1124.70 -0.26 6.46 -0.02
7 0.0658 -1124.47 0.20 6.53 0.04
8 0.0658 -1124.73 0.19 6.28 -0.21
9 0.0658 -1125.21 0.03 6.29 -0.21
10 0.0658 -1125.70 -0.21 6.55 0.05
11 0.0659 -1127.08 0.05 6.51 -0.02
12 0.0819 -1418.08 -0.05 10.35 0.07
13 0.0847 -1468.11 0.05 10.91 -0.12
14 0.0849 -1471.41 0.01 10.99 -0.10
15 0.0874 -1517.09 0.07 11.79 0.02
16 0.0933 -1623.20 -0.02 13.87 0.35
17 0.2269 -3578.55 0.01 80.41 0.17
18 0.2270 -3579.71 0.01 80.32 -0.02
19 0.2486 -3744.46 0.07 95.17 0.00
20 1.2809 -422.53 0.13 362.69 0.03
21 1.3657 -133.89 -0.08 424.45 0.09
22 2.0916 5486.49 0.11 508.80 -0.01
23 2.0918 5484.25 0.09 508.77 -0.09
24 2.0919 5481.98 -0.01 508.87 -0.04
25 2.1980 3749.44 0.05 556.52 0.00
26 2.2532 3214.56 -0.17 591.53 0.01
27 2.3184 3078.23 -0.07 637.34 0.01
28 2.8368 11840.69 -0.04 763.59 -0.06
29 2.8395 11848.67 0.07 763.08 -0.07
30 2.8395 11848.70 0.06 763.21 0.06
31 2.8395 11848.54 -0.12 763.08 -0.07
32 3.1646 7826.75 -0.01 791.91 -0.09
33 3.1648 7824.22 0.07 792.12 0.02
34 4.3034 10227.34 -0.03 1134.15 0.15
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.
13SY99 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 869.041 906.380 834.805 ecceobj 0.942 0.945 0.940 incobj 4.214 4.214 4.214 qmin 42.611 42.071 42.671 qmax 1714.157 1799.097 1660.452 amean 726.701 758.700 706.163 amin 658.097 678.692 634.769 amax 882.090 924.501 855.242 emean 0.931 0.934 0.929 emin 0.920 0.923 0.918 emax 0.943 0.946 0.942 imean 4.192 4.191 4.192 imin 4.000 4.002 4.018 imax 4.412 4.414 4.413 excite_mean 0.934 0.937 0.932 fracstop 1.000 1.000 1.000 cjmean 3.614 3.613 3.616 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 34.0 34.3 34.1 kozaiamp 4.5 4.6 4.5