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 Mar 26 01:11:28 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 1.35y
# First observation: 2021/06/17
# Last observation: 2022/10/23
Preliminary a, adot, b, bdot, g, gdot:
-0.000056 0.041059 0.000010 0.004537 0.033079 0.000000
# Chi-squared of fit: 5.36 DOF: 24 RMS: 0.11
# Min/Max residuals: -0.36 0.39
# Exact a, adot, b, bdot, g, gdot:
1.941083E-05 4.180908E-02 2.141320E-06 4.699018E-03 3.357655E-02 -1.036842E-03
# Covariance matrix:
4.3274E-13 3.4882E-12 -6.9790E-14 1.0092E-12 1.9771E-12 1.6627E-10
3.4882E-12 1.0297E-10 -2.1062E-12 3.0301E-11 5.0124E-11 5.0181E-09
-6.9790E-14 -2.1062E-12 2.3177E-13 -7.7653E-13 -1.0194E-12 -1.0339E-10
1.0092E-12 3.0301E-11 -7.7653E-13 9.2419E-12 1.4675E-11 1.4870E-09
1.9771E-12 5.0124E-11 -1.0194E-12 1.4675E-11 2.4810E-11 2.4288E-09
1.6627E-10 5.0181E-09 -1.0339E-10 1.4870E-09 2.4288E-09 2.4634E-07
# 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: 352.92495 +/- 2.126
Argument of Peri: 18.34918 +/- 3.526
Long of Asc Node: 279.80412 +/- 0.002
Inclination: 6.45205 +/- 0.002
Eccentricity: 0.23134817 +/- 0.0025
Semi-Major Axis: 39.82968321 +/- 0.0410
Time of Perihelion: 2461184.9123 +/- 542.2
Perihelion: 30.61515881 +/- 0.1044
Aphelion: 49.04420761 +/- 0.1116
Period (y) 251.3729 +/- 0.39
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 8.73131435 +/- 0.0013
Ecliptic Y -29.46401678 +/- 0.0042
Ecliptic Z 0.40560734 +/- 0.0001
Ecliptic XDOT 0.00323593 +/- 0.0000
Ecliptic YDOT 0.00110018 +/- 0.0000
Ecliptic ZDOT 0.00038179 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 30.73318487 +/- 0.0041
Geocenter to KBO 29.78269272 +/- 0.0044
# Hcoef: 9.34
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 2022 10 21.20926 19 16 31.903 -21 09 49.35 21MX22 266 C~8ebo 2022 10 21.25420 19 16 32.038 -21 09 49.06 21MX22 266 C~8ebo 2022 10 21.29846 19 16 32.173 -21 09 48.77 21MX22 266 C~8ebo 2022 10 23.20599 19 16 38.399 -21 09 36.59 21MX22 266 C~8ebo 2022 10 23.25093 19 16 38.546 -21 09 36.28 21MX22 266 C~8ebo 2022 10 23.29489 19 16 38.692 -21 09 35.96 21MX22 266 C~8ebo
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 0.06 0.00 0.01
2 0.0002 -5.66 0.03 0.21 0.01
3 0.0004 -12.57 0.02 0.49 0.01
4 0.0490 -1620.45 -0.09 53.91 0.07
5 0.0493 -1628.82 -0.05 54.16 0.07
6 0.0495 -1636.94 -0.01 54.43 0.07
7 0.2212 -6343.48 0.39 175.44 -0.10
8 0.2214 -6346.95 0.01 175.57 -0.09
9 0.2216 -6350.39 -0.36 175.71 -0.08
10 1.3437 2217.50 0.02 1155.65 -0.00
11 1.3438 2219.41 0.01 1155.69 0.00
12 1.3439 2221.33 0.01 1155.73 -0.00
13 1.3491 2309.27 -0.01 1156.46 0.01
14 1.3493 2311.35 -0.02 1156.50 0.01
15 1.3494 2313.42 -0.01 1156.55 0.02
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:2 Type: 3:2E REMOVED REMOVED axisobj 39.254 40.044 38.617 ecceobj 0.222 0.240 0.212 incobj 6.476 6.483 6.469 qmin 29.569 30.318 30.433 qmax 49.712 59.104 47.077 amean 39.455 42.305 38.713 amin 39.036 39.660 38.617 amax 39.930 44.870 38.809 emean 0.219 0.277 0.212 emin 0.188 0.229 0.212 emax 0.248 0.319 0.213 imean 8.665 7.451 8.036 imin 7.287 6.666 8.036 imax 10.119 8.158 8.036 excite_mean 0.266 0.306 0.254 fracstop 1.000 0.002 0.000 cjmean 2.971 2.970 2.973 libcent 0 180.6 -180.0 -180.0 libamp 0 67.2 -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 196.1 26.5 28.5 kozaiamp 180.0 14.7 0.7