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: 13SP100 # Created Sat Apr 20 01:15:04 2024 # Orbit generated from Bernstein formalism # Fitting 33 observations of 33 # Arc: 4.08y # First observation: 2013/08/02 # Last observation: 2017/08/30 Preliminary a, adot, b, bdot, g, gdot: -0.000123 0.023957 0.000007 0.003515 0.024361 0.000000 # Chi-squared of fit: 15.10 DOF: 60 RMS: 0.12 # Min/Max residuals: -0.35 0.30 # Exact a, adot, b, bdot, g, gdot: 1.521158E-05 2.403324E-02 2.289935E-06 3.537681E-03 2.445104E-02 3.659160E-03 # Covariance matrix: 1.3350E-13 -7.5232E-14 2.3281E-15 -6.9167E-15 8.1156E-14 -4.8059E-13 -7.5232E-14 3.1904E-13 -1.3203E-14 4.6091E-14 8.6544E-14 3.2635E-12 2.3281E-15 -1.3203E-14 6.5848E-14 -2.6521E-14 -3.8968E-15 -1.4818E-13 -6.9167E-15 4.6091E-14 -2.6521E-14 3.5657E-14 1.5566E-14 5.1912E-13 8.1156E-14 8.6544E-14 -3.8968E-15 1.5566E-14 1.8189E-13 1.1170E-12 -4.8059E-13 3.2635E-12 -1.4818E-13 5.1912E-13 1.1170E-12 3.6770E-11 # lat0 lon0 xBary yBary zBary JD0 -0.766750 14.950348 0.920470 -0.005752 -0.431898 2456507.009328 # Heliocentric elements and errors Epoch: 2456500.5000 = 2013/07/27 Mean Anomaly: 58.26937 +/- 0.018 Argument of Peri: 281.95620 +/- 0.027 Long of Asc Node: 18.84434 +/- 0.000 Inclination: 8.36330 +/- 0.000 Eccentricity: 0.13716617 +/- 0.0003 Semi-Major Axis: 43.84022148 +/- 0.0053 Time of Perihelion: 2439339.3903 +/- 4.3 Perihelion: 37.82682637 +/- 0.0122 Aphelion: 49.85361659 +/- 0.0129 Period (y) 290.2801 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.16467181 +/- 0.0007 Ecliptic Y 9.77524241 +/- 0.0002 Ecliptic Z -0.54715613 +/- 0.0000 Ecliptic XDOT -0.00029953 +/- 0.0000 Ecliptic YDOT 0.00270621 +/- 0.0000 Ecliptic ZDOT 0.00039075 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.34072575 +/- 0.0007 Geocenter to KBO 40.89805080 +/- 0.0007 # Hcoef: 8.30
The following table shows the complete astrometric record for 13SP100. 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 (13SP100) followed by the observatory code and reference code for the source of the astrometry.
2013 08 02.50855 00 56 15.125 +05 10 57.84 24.6r 13SP100 568 C~2NKM 2013 08 02.55128 00 56 15.059 +05 10 57.49 24.5r 13SP100 568 C~2NKM 2013 08 11.50755 00 55 58.590 +05 09 24.59 25.3r 13SP100 568 C~2NKM 2013 08 31.54522 00 55 00.562 +05 03 47.49 24.9r 13SP100 568 C~2NKM 2013 08 31.58437 00 55 00.446 +05 03 46.66 13SP100 568 C~2NKM 2013 08 31.58891 00 55 00.436 +05 03 46.66 24.1r 13SP100 568 C~2NKM 2013 09 01.43103 00 54 57.409 +05 03 29.19 23.9r 13SP100 568 C~2NKM 2013 09 01.46986 00 54 57.291 +05 03 28.27 24.9r 13SP100 568 C~2NKM 2013 09 05.41054 00 54 42.747 +05 02 03.23 24.6r 13SP100 568 C~2NKM 2013 09 05.44934 00 54 42.582 +05 02 02.29 24.3r 13SP100 568 C~2NKM 2013 09 29.33623 00 53 00.949 +04 52 07.75 24.0r 13SP100 568 C~2NKM 2013 09 29.34144 00 53 00.904 +04 52 07.60 24.4r 13SP100 568 C~2NKM 2013 09 29.38034 00 53 00.737 +04 52 06.65 24.4r 13SP100 568 C~2NKM 2013 09 29.42409 00 53 00.524 +04 52 05.36 24.4r 13SP100 568 C~2NKM 2013 10 04.49793 00 52 37.178 +04 49 49.64 24.8r 13SP100 568 C~2NKM 2013 10 04.50677 00 52 37.131 +04 49 49.26 24.5r 13SP100 568 C~2NKM 2013 10 09.47306 00 52 14.179 +04 47 36.01 24.0r 13SP100 568 C~2NKM 2013 11 27.26738 00 49 04.840 +04 29 56.93 24.4r 13SP100 568 C~2NKM 2013 11 27.31186 00 49 04.730 +04 29 56.26 24.9r 13SP100 568 C~2NKM 2013 12 05.22570 00 48 47.128 +04 28 29.97 23.6r 13SP100 568 C~2NKM 2014 06 27.57836 01 00 54.759 +05 52 22.10 24.6r 13SP100 568 C~2NKM 2014 06 28.58343 01 00 56.480 +05 52 34.04 24.9r 13SP100 568 C~2NKM 2014 07 27.53499 01 01 08.576 +05 54 24.57 23.5r 13SP100 568 C~2NKM 2014 08 22.54836 01 00 19.204 +05 49 54.83 24.7r 13SP100 568 C~2NKM 2014 08 28.40993 01 00 01.193 +05 48 12.18 24.7r 13SP100 568 C~2NKM 2014 08 28.44652 01 00 01.076 +05 48 11.39 24.3r 13SP100 568 C~2NKM 2014 10 23.37180 00 56 02.601 +05 25 17.14 24.5r 13SP100 568 C~2NKM 2014 10 27.41049 00 55 44.835 +05 23 36.26 24.3r 13SP100 568 C~2NKM 2015 01 17.27427 00 53 30.128 +05 13 21.98 24.5r 13SP100 568 C~2NKM 2017 07 24.58642 01 15 18.788 +07 59 49.85 24.9w 13SP100 568 C~2NKM 2017 08 25.51309 01 14 27.527 +07 55 49.32 24.5w 13SP100 568 C~2NKM 2017 08 30.45523 01 14 12.691 +07 54 30.35 24.6w 13SP100 568 C~2NKM 2017 08 30.50199 01 14 12.534 +07 54 29.56 24.2w 13SP100 568 C~2NKM
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 -0.00
2 0.0001 -1.04 0.07 0.06 -0.00
3 0.0246 -263.87 0.05 9.31 0.18
4 0.0795 -1193.77 -0.26 33.15 0.03
5 0.0796 -1195.69 0.08 33.05 -0.13
6 0.0796 -1195.82 0.21 33.11 -0.08
7 0.0819 -1244.29 -0.34 34.47 0.22
8 0.0820 -1246.27 -0.05 34.30 -0.02
9 0.0928 -1479.58 0.04 39.84 0.05
10 0.0929 -1482.22 -0.19 39.92 0.06
11 0.1583 -3112.98 0.13 79.03 -0.06
12 0.1583 -3113.66 -0.16 79.15 0.05
13 0.1584 -3116.33 0.06 79.24 0.05
14 0.1586 -3119.77 -0.11 79.28 -0.01
15 0.1725 -3494.13 0.07 89.22 0.12
16 0.1725 -3494.93 -0.06 89.14 0.02
17 0.1861 -3862.95 0.30 99.14 -0.03
18 0.3197 -6884.99 -0.06 220.83 -0.01
19 0.3198 -6886.76 -0.00 220.85 -0.14
20 0.3415 -7163.16 0.07 243.58 -0.20
21 0.9009 4810.49 0.16 685.50 -0.09
22 0.9037 4838.80 0.07 686.66 -0.06
23 0.9830 5048.01 0.02 719.42 -0.35
24 1.0542 4263.82 0.06 753.36 0.05
25 1.0702 3976.12 -0.13 761.90 0.20
26 1.0703 3974.20 -0.11 761.84 0.07
27 1.2234 159.06 0.07 864.92 -0.06
28 1.2345 -124.62 -0.01 874.28 0.15
29 1.4586 -2217.74 -0.04 1085.36 -0.06
30 3.9756 19677.93 0.04 2867.56 -0.04
31 4.0630 18874.97 0.03 2931.87 0.01
32 4.0765 18639.10 -0.00 2941.86 0.02
33 4.0766 18636.62 -0.08 2942.01 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.
13SP100 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 44.093 44.109 44.076 ecceobj 0.141 0.142 0.141 incobj 8.343 8.343 8.343 qmin 35.097 34.299 36.643 qmax 53.001 53.958 51.391 amean 43.771 43.747 43.738 amin 43.192 43.168 43.261 amax 44.298 44.360 44.249 emean 0.155 0.186 0.134 emin 0.106 0.126 0.099 emax 0.198 0.217 0.162 imean 7.008 6.672 7.664 imin 5.200 4.585 6.437 imax 8.944 8.877 8.954 excite_mean 0.199 0.221 0.189 fracstop 1.000 1.000 1.000 cjmean 3.050 3.039 3.055 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 179.1 183.1 178.8 kozaiamp 180.0 180.0 180.0