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: 21TP191 # Created Tue Apr 1 01:11:27 2025 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.11y # First observation: 2019/08/28 # Last observation: 2021/10/06 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.023315 0.000001 -0.000987 0.023801 0.000000 # Chi-squared of fit: 4.56 DOF: 10 RMS: 0.13 # Min/Max residuals: -0.19 0.19 # Exact a, adot, b, bdot, g, gdot: 1.566471E-05 2.322974E-02 -6.859239E-07 -9.834454E-04 2.367651E-02 -1.238975E-03 # Covariance matrix: 7.4516E-13 4.4221E-12 2.8332E-14 -1.8536E-13 6.0802E-12 8.6412E-11 4.4221E-12 2.2716E-09 1.4379E-11 -9.2212E-11 2.6887E-09 4.2988E-08 2.8332E-14 1.4379E-11 7.1187E-13 -9.1051E-13 1.7014E-11 2.7218E-10 -1.8536E-13 -9.2212E-11 -9.1051E-13 3.9878E-12 -1.0912E-10 -1.7454E-09 6.0802E-12 2.6887E-09 1.7014E-11 -1.0912E-10 3.1846E-09 5.0873E-08 8.6412E-11 4.2988E-08 2.7218E-10 -1.7454E-09 5.0873E-08 8.1370E-07 # lat0 lon0 xBary yBary zBary JD0 -1.248768 -7.397431 0.309113 -0.020828 -0.955653 2458723.711696 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 319.18160 +/- 14.182 Argument of Peri: 254.14930 +/- 18.067 Long of Asc Node: 145.54087 +/- 0.012 Inclination: 2.72128 +/- 0.001 Eccentricity: 0.08236365 +/- 0.0321 Semi-Major Axis: 45.91244747 +/- 0.4628 Time of Perihelion: 2471604.4079 +/- 4472.3 Perihelion: 42.13093085 +/- 1.5338 Aphelion: 49.69396410 +/- 1.5567 Period (y) 311.1028 +/- 4.70 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.78542878 +/- 0.0998 Ecliptic Y -5.87319234 +/- 0.0130 Ecliptic Z -0.92049174 +/- 0.0022 Ecliptic XDOT 0.00020981 +/- 0.0001 Ecliptic YDOT 0.00268316 +/- 0.0000 Ecliptic ZDOT -0.00011080 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.19646524 +/- 0.0989 Geocenter to KBO 42.23596299 +/- 0.1007 # Hcoef: 9.34
The following table shows the complete astrometric record for 21TP191. 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 (21TP191) followed by the observatory code and reference code for the source of the astrometry.
2019 08 28.210895 23 34 48.360 -04 04 57.90 25.6r 21TP191 W84 C~7XPu 2019 08 28.388381 23 34 47.635 -04 05 02.69 25.6r 21TP191 W84 C~7XPu 2020 10 18.012125 23 36 16.181 -03 59 30.07 25.5r 21TP191 W84 C~7XPu 2020 10 18.176134 23 36 15.608 -03 59 33.53 25.5r 21TP191 W84 C~7XPu 2021 10 04.002582 23 42 12.068 -03 24 54.94 25.7r 21TP191 W84 C~7XPu 2021 10 04.175328 23 42 11.357 -03 24 59.10 25.7r 21TP191 W84 C~7XPu 2021 10 06.002765 23 42 03.861 -03 25 47.51 25.6r 21TP191 W84 C~7XPu 2021 10 06.167954 23 42 03.199 -03 25 52.11 25.6r 21TP191 W84 C~7XPu
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 0.01
2 0.0005 -11.86 0.03 -0.11 0.01
3 1.1411 1336.54 -0.19 -218.87 -0.06
4 1.1416 1327.30 0.19 -218.65 0.01
5 2.1021 7052.52 -0.19 -427.21 -0.15
6 2.1026 7041.09 0.17 -426.79 0.18
7 2.1076 6918.71 -0.09 -426.61 0.18
8 2.1080 6907.78 0.11 -426.89 -0.19
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.
21TP191 quality flag:2 Type: CLASSICAL SCATNEAR CLASSICAL axisobj 46.018 47.450 45.568 ecceobj 0.087 0.175 0.068 incobj 2.716 2.715 2.717 qmin 41.125 37.694 41.776 qmax 50.877 57.337 49.272 amean 45.857 47.243 45.427 amin 45.472 46.804 45.066 amax 46.263 47.764 45.812 emean 0.088 0.181 0.064 emin 0.074 0.162 0.050 emax 0.100 0.200 0.076 imean 2.207 2.084 2.237 imin 1.724 1.327 1.727 imax 2.627 2.903 2.696 excite_mean 0.096 0.185 0.075 fracstop 1.000 1.000 1.000 cjmean 3.113 3.099 3.112 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 186.5 186.8 180.2 kozaiamp 179.9 180.0 180.0