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: 21MW22
# Created Sun Dec 22 02:11:18 2024
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 80.96d
# First observation: 2021/06/17
# Last observation: 2021/09/06
Preliminary a, adot, b, bdot, g, gdot:
-0.000002 0.065608 -0.000014 -0.005268 0.037660 0.000000
# Chi-squared of fit: 0.12 DOF: 18 RMS: 0.02
# Min/Max residuals: -0.03 0.04
# Exact a, adot, b, bdot, g, gdot:
1.953509E-05 4.148952E-02 -2.622504E-06 -5.587621E-03 3.359134E-02 4.725123E-03
# Covariance matrix:
6.5990E-13 3.4877E-10 -1.9807E-13 4.8420E-12 5.8264E-11 -1.1761E-09
3.4877E-10 7.3298E-07 -4.3139E-10 1.0972E-08 1.1815E-07 -3.0721E-06
-1.9807E-13 -4.3139E-10 4.8601E-13 -7.8567E-12 -6.9481E-11 1.8171E-09
4.8420E-12 1.0972E-08 -7.8567E-12 1.8252E-10 1.7659E-09 -4.6435E-08
5.8264E-11 1.1815E-07 -6.9481E-11 1.7659E-09 1.9057E-08 -4.9316E-07
-1.1761E-09 -3.0721E-06 1.8171E-09 -4.6435E-08 -4.9316E-07 1.3202E-05
# lat0 lon0 xBary yBary zBary JD0
1.464372 -72.274114 0.379147 0.023755 -0.937619 2459382.936851
# Heliocentric elements and errors
Epoch: 2459380.5000 = 2021/06/15
Mean Anomaly: 17.25109 +/- 13.964
Argument of Peri: 140.34829 +/- 24.464
Long of Asc Node: 117.51532 +/- 0.215
Inclination: 7.75279 +/- 0.158
Eccentricity: 0.24805736 +/- 0.0239
Semi-Major Axis: 39.82656413 +/- 0.4399
Time of Perihelion: 2454981.3209 +/- 3560.1
Perihelion: 29.94729182 +/- 1.0078
Aphelion: 49.70583645 +/- 1.0989
Period (y) 251.3434 +/- 4.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 8.99344725 +/- 0.0372
Ecliptic Y -29.36053944 +/- 0.1165
Ecliptic Z 0.76076768 +/- 0.0031
Ecliptic XDOT 0.00334731 +/- 0.0000
Ecliptic YDOT 0.00065896 +/- 0.0003
Ecliptic ZDOT -0.00044561 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 30.71647989 +/- 0.1119
Geocenter to KBO 29.76957524 +/- 0.1223
# Hcoef: 8.87
The following table shows the complete astrometric record for 21MW22. 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 (21MW22) followed by the observatory code and reference code for the source of the astrometry.
2021 06 17.43605 19 16 00.640 -20 48 47.45 23.6r 21MW22 266 C~6Ip5 2021 06 17.50053 19 16 00.244 -20 48 48.30 23.6r 21MW22 266 C~6Ip5 2021 06 17.57953 19 15 59.758 -20 48 49.32 23.6r 21MW22 266 C~6Ip5 2021 07 05.34556 19 14 06.489 -20 52 58.96 23.8r 21MW22 266 C~6Ip5 2021 07 05.35106 19 14 06.457 -20 52 59.02 23.4r 21MW22 266 C~6Ip5 2021 07 05.39262 19 14 06.173 -20 52 59.67 23.8r 21MW22 266 C~6Ip5 2021 07 05.43532 19 14 05.886 -20 53 00.31 23.8r 21MW22 266 C~6Ip5 2021 07 05.43951 19 14 05.862 -20 53 00.34 23.4r 21MW22 266 C~6Ip5 2021 07 05.52517 19 14 05.286 -20 53 01.59 23.4r 21MW22 266 C~6Ip5 2021 09 06.23258 19 08 31.524 -21 07 11.94 23.8r 21MW22 266 C~6Ip5 2021 09 06.31281 19 08 31.303 -21 07 12.72 23.8r 21MW22 266 C~6Ip5 2021 09 06.39352 19 08 31.083 -21 07 13.50 23.8r 21MW22 266 C~6Ip5
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 -0.00 0.00 -0.00
2 0.0002 -5.62 0.00 -0.12 -0.00
3 0.0004 -12.50 -0.00 -0.25 0.00
4 0.0490 -1619.23 -0.03 -44.46 -0.01
5 0.0490 -1619.68 0.04 -44.46 0.01
6 0.0492 -1623.71 -0.03 -44.60 -0.01
7 0.0493 -1627.78 -0.03 -44.73 -0.01
8 0.0493 -1628.12 0.03 -44.72 0.01
9 0.0495 -1636.28 0.03 -44.93 0.01
10 0.2212 -6381.03 -0.00 -317.42 -0.00
11 0.2214 -6384.19 -0.00 -317.83 0.01
12 0.2216 -6387.34 0.00 -318.24 -0.00
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.
21MW22 quality flag:1 Type: 3:2E CENTAURR CENTAURR axisobj 39.233 46.479 37.567 ecceobj 0.238 0.452 0.165 incobj 7.769 8.343 7.530 qmin 28.980 25.290 30.174 qmax 50.514 72.881 44.851 amean 39.455 48.002 36.398 amin 39.024 46.479 31.131 amax 39.951 49.348 38.118 emean 0.237 0.466 0.143 emin 0.209 0.452 0.014 emax 0.265 0.477 0.177 imean 7.543 6.455 5.069 imin 5.989 6.249 4.466 imax 9.154 6.786 6.039 excite_mean 0.272 0.479 0.171 fracstop 1.000 0.002 0.011 cjmean 2.968 2.848 2.994 libcent 0 180.3 -180.0 -180.0 libamp 0 69.2 -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 94.8 125.0 225.3 kozaiamp 43.0 1.9 73.5