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: 21MX22
# Created Wed Nov 27 02:11:07 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 80.96d
# First observation: 2021/06/17
# Last observation: 2021/09/06
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.064168 -0.000002 0.004745 0.037360 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 4.75 DOF: 13 RMS: 0.13
# Min/Max residuals: -0.36 0.36
# Exact a, adot, b, bdot, g, gdot:
1.926765E-05 4.091165E-02 2.470960E-06 4.695927E-03 3.343444E-02 3.258231E-03
# Covariance matrix:
3.0517E-12 5.5758E-09 -5.8270E-13 3.8298E-12 8.9632E-10 -2.4520E-08
5.5758E-09 1.2155E-05 -1.2574E-09 7.6643E-09 1.9495E-06 -5.4074E-05
-5.8270E-13 -1.2574E-09 4.3954E-13 -2.4374E-12 -2.0172E-10 5.5846E-09
3.8298E-12 7.6643E-09 -2.4374E-12 2.3822E-11 1.2323E-09 -3.3596E-08
8.9632E-10 1.9495E-06 -2.0172E-10 1.2323E-09 3.1268E-07 -8.6698E-06
-2.4520E-08 -5.4074E-05 5.5846E-09 -3.3596E-08 -8.6698E-06 2.4103E-04
# lat0 lon0 xBary yBary zBary JD0
0.780063 -72.815123 0.370274 0.012603 -0.941374 2459382.936851
# Heliocentric elements and errors
Epoch: 2459380.5000 = 2021/06/15
Mean Anomaly: 14.24984 +/- 80.775
Argument of Peri: 344.55180 +/- 128.071
Long of Asc Node: 279.93822 +/- 0.537
Inclination: 6.58030 +/- 0.524
Eccentricity: 0.20829169 +/- 0.0476
Semi-Major Axis: 38.48667908 +/- 2.7982
Time of Perihelion: 2455928.4938 +/- 19564.1
Perihelion: 30.47022368 +/- 2.8754
Aphelion: 46.50313449 +/- 3.8460
Period (y) 238.7668 +/- 26.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 8.76871092 +/- 0.1477
Ecliptic Y -29.58494473 +/- 0.4779
Ecliptic Z 0.40734090 +/- 0.0068
Ecliptic XDOT 0.00328336 +/- 0.0002
Ecliptic YDOT 0.00074713 +/- 0.0013
Ecliptic ZDOT 0.00038795 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 30.85976625 +/- 0.4600
Geocenter to KBO 29.90928292 +/- 0.5002
# Hcoef: 9.32
The following table shows the complete astrometric record for 21MX22. 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 (21MX22) followed by the observatory code and reference code for the source of the astrometry.
2021 06 17.43605 19 14 05.096 -21 33 39.89 24.0r 21MX22 266 C~6Ip5 2021 06 17.50053 19 14 04.692 -21 33 40.40 24.0r 21MX22 266 C~6Ip5 2021 06 17.57953 19 14 04.198 -21 33 40.99 24.0r 21MX22 266 C~6Ip5 2021 07 05.35106 19 12 09.350 -21 36 08.68 23.7r 21MX22 266 C~6Ip5 2021 07 05.43951 19 12 08.752 -21 36 09.47 23.7r 21MX22 266 C~6Ip5 2021 07 05.52517 19 12 08.172 -21 36 10.20 23.7r 21MX22 266 C~6Ip5 2021 09 06.23258 19 06 32.054 -21 43 28.96 24.7r 21MX22 266 C~6Ip5 2021 09 06.31281 19 06 31.806 -21 43 29.23 24.7r 21MX22 266 C~6Ip5 2021 09 06.39352 19 06 31.560 -21 43 29.48 24.7r 21MX22 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 0.02 0.00 -0.05
2 0.0002 -5.66 -0.00 0.21 -0.06
3 0.0004 -12.57 -0.02 0.49 -0.06
4 0.0490 -1620.45 -0.04 53.91 0.07
5 0.0493 -1628.82 0.00 54.16 0.07
6 0.0495 -1636.94 0.04 54.43 0.08
7 0.2212 -6343.48 0.36 175.44 -0.03
8 0.2214 -6346.95 -0.01 175.57 -0.01
9 0.2216 -6350.39 -0.36 175.71 -0.01
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.
21MX22 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