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: 13SS100 # Created Wed Dec 25 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 25 observations of 25 # Arc: 7.20y # First observation: 2013/08/08 # Last observation: 2020/10/20 # Chi-squared of fit: 15.40 DOF: 44 RMS: 0.14 # Min/Max residuals: -0.37 0.27 # Exact a, adot, b, bdot, g, gdot: 1.504209E-05 2.581780E-02 2.692646E-07 -2.878444E-04 2.512132E-02 1.083225E-03 # Covariance matrix: 1.5556E-13 -7.5976E-14 -1.8217E-16 1.0960E-15 7.5105E-14 -4.0181E-13 -7.5976E-14 3.3674E-13 2.5416E-15 -4.9029E-15 1.1314E-13 1.9369E-12 -1.8217E-16 2.5416E-15 7.5538E-14 -1.6575E-14 1.2987E-15 1.5170E-14 1.0960E-15 -4.9029E-15 -1.6575E-14 1.6098E-14 -1.4689E-15 -2.9726E-14 7.5105E-14 1.1314E-13 1.2987E-15 -1.4689E-15 1.7364E-13 6.2363E-13 -4.0181E-13 1.9369E-12 1.5170E-14 -2.9726E-14 6.2363E-13 1.1724E-11 # lat0 lon0 xBary yBary zBary JD0 -2.492413 12.989665 0.853506 -0.023920 -0.550239 2456513.003888 # Heliocentric elements and errors Epoch: 2456512.5000 = 2013/08/08 Mean Anomaly: 11.64807 +/- 0.075 Argument of Peri: 240.41445 +/- 0.090 Long of Asc Node: 117.55733 +/- 0.006 Inclination: 2.55384 +/- 0.000 Eccentricity: 0.08434423 +/- 0.0001 Semi-Major Axis: 43.98547053 +/- 0.0032 Time of Perihelion: 2453064.9255 +/- 22.1 Perihelion: 40.27554974 +/- 0.0045 Aphelion: 47.69539132 +/- 0.0049 Period (y) 291.7239 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.47978877 +/- 0.0006 Ecliptic Y 8.23434535 +/- 0.0001 Ecliptic Z -1.73103113 +/- 0.0000 Ecliptic XDOT -0.00052509 +/- 0.0000 Ecliptic YDOT 0.00276708 +/- 0.0000 Ecliptic ZDOT -0.00003633 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.36649183 +/- 0.0006 Geocenter to KBO 39.80682498 +/- 0.0007 # Hcoef: 8.18
The following table shows the complete astrometric record for 13SS100. 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 (13SS100) followed by the observatory code and reference code for the source of the astrometry.
2013 08 08.50311 00 51 40.988 +02 49 59.26 24.1r 13SS100 568 C~2NKM 2013 08 31.54913 00 50 35.659 +02 41 54.99 24.2r 13SS100 568 C~2NKM 2013 08 31.59296 00 50 35.467 +02 41 53.64 24.6r 13SS100 568 C~2NKM 2013 09 01.43491 00 50 32.474 +02 41 32.65 24.1r 13SS100 568 C~2NKM 2013 09 01.47388 00 50 32.331 +02 41 31.62 24.1r 13SS100 568 C~2NKM 2013 09 05.41441 00 50 17.596 +02 39 49.32 24.3r 13SS100 568 C~2NKM 2013 09 05.45322 00 50 17.425 +02 39 47.76 24.9r 13SS100 568 C~2NKM 2013 09 29.34540 00 48 34.970 +02 28 25.82 24.4r 13SS100 568 C~2NKM 2013 09 29.38422 00 48 34.798 +02 28 24.81 24.0r 13SS100 568 C~2NKM 2013 09 29.42805 00 48 34.584 +02 28 23.48 24.1r 13SS100 568 C~2NKM 2013 10 02.41909 00 48 20.833 +02 26 54.84 24.4r 13SS100 568 C~2NKM 2013 10 04.51065 00 48 11.139 +02 25 53.33 24.1r 13SS100 568 C~2NKM 2013 11 27.27126 00 44 41.939 +02 05 16.84 24.4r 13SS100 568 C~2NKM 2013 11 27.31577 00 44 41.832 +02 05 16.36 24.2r 13SS100 568 C~2NKM 2013 12 05.23284 00 44 25.332 +02 03 58.59 23.8r 13SS100 568 C~2NKM 2014 06 25.57325 00 57 08.596 +03 26 17.31 24.2r 13SS100 568 C~2NKM 2014 06 26.57215 00 57 10.530 +03 26 25.41 24.1r 13SS100 568 C~2NKM 2014 07 23.55975 00 57 29.377 +03 26 30.67 24.8r 13SS100 568 C~2NKM 2014 07 27.53892 00 57 26.674 +03 25 57.78 24.7r 13SS100 568 C~2NKM 2014 11 24.29560 00 50 19.468 +02 39 36.63 23.9r 13SS100 568 C~2NKM 2014 11 25.28967 00 50 16.759 +02 39 22.73 23.8r 13SS100 568 C~2NKM 2014 12 17.22286 00 49 37.291 +02 36 31.68 24.0r 13SS100 568 C~2NKM 2015 01 17.24876 00 49 56.850 +02 40 38.48 24.2r 13SS100 568 C~2NKM 2020 10 20.205750 01 25 42.240 +06 11 37.37 23.2G 13SS100 G37 C~4Kvx 2020 10 20.255980 01 25 41.992 +06 11 36.05 13SS100 G37 C~4Kvx
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 0.27 0.00 0.01
2 0.0631 0.00 0.12 0.00 0.09
3 0.0632 0.00 -0.35 0.00 -0.16
4 0.0655 0.00 0.11 0.00 0.15
5 0.0656 0.00 0.13 0.00 0.11
6 0.0764 0.00 -0.01 0.00 0.16
7 0.0765 0.00 -0.29 0.00 -0.37
8 0.1419 0.00 -0.13 0.00 -0.12
9 0.1420 0.00 0.01 0.00 0.02
10 0.1422 0.00 -0.12 0.00 -0.02
11 0.1504 0.00 0.26 0.00 -0.07
12 0.1561 0.00 0.07 0.00 0.23
13 0.3033 0.00 -0.03 0.00 -0.01
14 0.3034 0.00 0.04 0.00 0.04
15 0.3251 0.00 -0.06 0.00 -0.04
16 0.8790 0.00 -0.05 0.00 -0.06
17 0.8818 0.00 -0.08 0.00 0.01
18 0.9557 0.00 0.03 0.00 -0.16
19 0.9666 0.00 0.08 0.00 0.07
20 1.2944 0.00 0.06 0.00 -0.08
21 1.2972 0.00 0.21 0.00 0.09
22 1.3572 0.00 -0.26 0.00 0.06
23 1.4422 0.00 0.01 0.00 0.10
24 7.1997 0.00 0.07 0.00 -0.04
25 7.1999 0.00 -0.07 0.00 0.02
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.
13SS100 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.239 44.239 44.239 ecceobj 0.090 0.090 0.090 incobj 2.553 2.553 2.553 qmin 39.182 39.184 39.181 qmax 48.967 48.983 48.949 amean 43.955 43.955 43.955 amin 43.609 43.610 43.607 amax 44.334 44.334 44.333 emean 0.088 0.088 0.088 emin 0.069 0.069 0.070 emax 0.105 0.105 0.105 imean 1.752 1.752 1.752 imin 0.705 0.705 0.705 imax 2.561 2.561 2.561 excite_mean 0.094 0.094 0.094 fracstop 1.000 1.000 1.000 cjmean 3.090 3.090 3.090 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 174.5 174.5 174.4 kozaiamp 180.0 180.0 180.0