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: 13TJ228
# Created Wed May 8 01:15:26 2024
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 4.93y
# First observation: 2013/10/11
# Last observation: 2018/09/17
Preliminary a, adot, b, bdot, g, gdot:
0.000233 0.025910 0.000004 0.000664 0.026214 0.000000
# Chi-squared of fit: 1.35 DOF: 10 RMS: 0.07
# Min/Max residuals: -0.13 0.12
# Exact a, adot, b, bdot, g, gdot:
1.621352E-05 2.612705E-02 7.541456E-07 6.670688E-04 2.524320E-02 1.905124E-03
# Covariance matrix:
5.4702E-13 1.6360E-13 3.1627E-15 7.3579E-15 1.0905E-12 2.5343E-12
1.6360E-13 1.3927E-12 2.6400E-15 3.6159E-14 2.4307E-12 1.1881E-11
3.1627E-15 2.6400E-15 3.4988E-13 -8.1016E-14 1.6171E-14 2.9949E-14
7.3579E-15 3.6159E-14 -8.1016E-14 4.0981E-14 6.8452E-14 3.1965E-13
1.0905E-12 2.4307E-12 1.6171E-14 6.8452E-14 7.1372E-12 2.2988E-11
2.5343E-12 1.1881E-11 2.9949E-14 3.1965E-13 2.2988E-11 1.0532E-10
# lat0 lon0 xBary yBary zBary JD0
1.278380 -6.269054 -0.404157 0.020471 -0.912364 2456576.610238
# Heliocentric elements and errors
Epoch: 2456570.5000 = 2013/10/05
Mean Anomaly: 32.92408 +/- 0.142
Argument of Peri: 358.16196 +/- 0.200
Long of Asc Node: 313.75128 +/- 0.009
Inclination: 1.92144 +/- 0.000
Eccentricity: 0.13166076 +/- 0.0002
Semi-Major Axis: 45.25253939 +/- 0.0165
Time of Perihelion: 2446401.5995 +/- 43.5
Perihelion: 39.29455572 +/- 0.0171
Aphelion: 51.21052306 +/- 0.0209
Period (y) 304.4196 +/- 0.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 40.31879862 +/- 0.0042
Ecliptic Y -4.01958445 +/- 0.0005
Ecliptic Z 0.88380643 +/- 0.0001
Ecliptic XDOT 0.00050700 +/- 0.0000
Ecliptic YDOT 0.00279296 +/- 0.0000
Ecliptic ZDOT 0.00007708 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.52830733 +/- 0.0041
Geocenter to KBO 39.61463640 +/- 0.0042
# Hcoef: 7.79
The following table shows the complete astrometric record for 13TJ228. 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 (13TJ228) followed by the observatory code and reference code for the source of the astrometry.
2013 10 11.10946 23 34 57.260 -01 18 55.50 23.1z 13TJ228 W84 C~52Rf 2013 10 13.08293 23 34 49.307 -01 19 47.72 23.2i 13TJ228 W84 C~52Rf 2013 10 28.03101 23 33 55.554 -01 25 47.12 23.9r 13TJ228 W84 C~52Rf 2013 11 23.08392 23 32 58.559 -01 32 29.73 24.0r 13TJ228 W84 C~52Rf 2015 11 06.06654 23 44 15.983 -00 14 09.03 24.3r 13TJ228 W84 C~52Rf 2017 11 15.03514 23 54 30.468 +00 56 45.11 23.7r 13TJ228 W84 C~52Rf 2018 09 17.28548 00 03 36.601 +01 58 40.85 23.7i 13TJ228 W84 C~52Rf 2018 09 17.28686 00 03 36.585 +01 58 40.93 24.2r 13TJ228 W84 C~52Rf
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 0.03 0.00 -0.07
2 0.0054 -130.19 -0.13 -0.79 0.12
3 0.0463 -1012.68 0.08 -12.14 -0.06
4 0.1177 -1956.92 0.00 -44.07 0.04
5 2.0697 9240.07 0.04 252.33 -0.07
6 4.0956 19439.26 -0.05 510.64 0.09
7 4.9341 28553.46 0.05 688.78 -0.11
8 4.9341 28553.27 -0.03 688.95 0.06
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.
13TJ228 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.532 45.583 45.482 ecceobj 0.137 0.137 0.137 incobj 1.917 1.917 1.918 qmin 38.561 38.596 38.554 qmax 52.404 52.467 52.358 amean 45.325 45.381 45.284 amin 44.943 45.005 44.908 amax 45.763 45.807 45.701 emean 0.131 0.132 0.131 emin 0.117 0.117 0.116 emax 0.146 0.146 0.146 imean 3.512 3.505 3.508 imin 2.843 2.846 2.841 imax 4.125 4.063 4.150 excite_mean 0.145 0.145 0.145 fracstop 1.000 1.000 1.000 cjmean 3.092 3.092 3.091 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 181.4 181.4 180.4 kozaiamp 179.9 180.0 180.0