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: 21AN28
# Created Fri Nov 1 01:10:46 2024
# Orbit generated from Bernstein formalism
# Fitting 10 observations of 10
# Arc: 7.03d
# First observation: 2021/01/09
# Last observation: 2021/01/16
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.027214 -0.000000 -0.000466 0.025731 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 0.79 DOF: 15 RMS: 0.05
# Min/Max residuals: -0.13 0.11
# Exact a, adot, b, bdot, g, gdot:
1.611515E-05 2.671053E-02 -3.436692E-07 -3.935579E-04 2.626822E-02 2.284503E-03
# Covariance matrix:
6.7244E-13 -3.1565E-10 2.1879E-14 3.4304E-11 2.0459E-10 -3.1061E-09
-3.1565E-10 7.1752E-07 -7.2211E-11 -8.9587E-08 -5.5872E-07 -3.1468E-05
2.1879E-14 -7.2211E-11 5.1658E-13 -2.5896E-11 5.8304E-11 5.0519E-09
3.4304E-11 -8.9587E-08 -2.5896E-11 1.4659E-08 7.0341E-08 4.2056E-06
2.0459E-10 -5.5872E-07 5.8304E-11 7.0341E-08 4.4130E-07 2.8923E-05
-3.1061E-09 -3.1468E-05 5.0519E-09 4.2056E-06 2.8923E-05 5.8413E-03
# lat0 lon0 xBary yBary zBary JD0
1.526984 10.596461 -0.980127 -0.004006 0.147863 2459223.771241
# Heliocentric elements and errors
Epoch: 2459220.5000 = 2021/01/06
Mean Anomaly: 81.03764 +/- 274.503
Argument of Peri: 26.17290 +/- 64.914
Long of Asc Node: 251.81312 +/- 5.966
Inclination: 1.77357 +/- 0.107
Eccentricity: 0.11344902 +/- 2.8334
Semi-Major Axis: 38.12416349 +/- 16.7112
Time of Perihelion: 2439865.9450 +/- 64313.6
Perihelion: 33.79901446 +/- 109.0305
Aphelion: 42.44931252 +/- 109.6101
Period (y) 235.4012 +/- 154.78
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.08728759 +/- 0.9460
Ecliptic Y 7.92887111 +/- 0.1770
Ecliptic Z 1.01439207 +/- 0.0257
Ecliptic XDOT -0.00027012 +/- 0.0078
Ecliptic YDOT 0.00278629 +/- 0.0014
Ecliptic ZDOT -0.00003487 +/- 0.0002
# Distances at JD0 (AU)
Heliocenter to KBO 37.93893632 +/- 0.9255
Geocenter to KBO 38.06880972 +/- 0.9627
# Hcoef: 7.85
The following table shows the complete astrometric record for 21AN28. 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 (21AN28) followed by the observatory code and reference code for the source of the astrometry.
2021 01 09.27044 00 36 33.14 +05 35 57.4 21AN28 568 C~5tbk 2021 01 11.22759 00 36 36.93 +05 36 15.8 21AN28 568 C~5tbk 2021 01 11.27476 00 36 37.02 +05 36 16.2 21AN28 568 C~5tbk 2021 01 12.22615 00 36 39.01 +05 36 26.0 24.2g 21AN28 568 C~5tbk 2021 01 12.26561 00 36 39.08 +05 36 26.4 21AN28 568 C~5tbk 2021 01 12.30743 00 36 39.18 +05 36 26.9 21AN28 568 C~5tbk 2021 01 15.22427 00 36 45.83 +05 37 00.8 21AN28 568 C~5tbk 2021 01 16.22005 00 36 48.29 +05 37 13.6 21AN28 568 C~5tbk 2021 01 16.25147 00 36 48.37 +05 37 14.0 21AN28 568 C~5tbk 2021 01 16.30296 00 36 48.49 +05 37 14.8 21AN28 568 C~5tbk
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 -0.01 0.00 0.02
2 0.0054 59.26 0.04 -5.31 0.05
3 0.0055 60.65 -0.02 -5.47 0.01
4 0.0081 91.82 0.03 -8.12 -0.06
5 0.0082 92.94 -0.13 -8.17 -0.01
6 0.0083 94.51 0.08 -8.29 -0.04
7 0.0163 199.12 -0.01 -16.11 -0.01
8 0.0190 237.91 -0.01 -18.77 -0.02
9 0.0191 239.17 0.03 -18.87 -0.05
10 0.0193 241.13 -0.02 -18.83 0.11
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.
21AN28 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0