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: 21MA23
# Created Mon Apr 28 01:11:27 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 1.34y
# First observation: 2021/06/17
# Last observation: 2022/10/21
Preliminary a, adot, b, bdot, g, gdot:
-0.000031 0.024396 -0.000002 -0.000703 0.024168 0.000000
# Chi-squared of fit: 0.11 DOF: 24 RMS: 0.02
# Min/Max residuals: -0.03 0.03
# Exact a, adot, b, bdot, g, gdot:
1.590121E-05 2.462482E-02 -4.085194E-07 -7.309836E-04 2.441463E-02 6.450579E-04
# Covariance matrix:
4.8217E-13 1.9196E-12 3.5761E-14 -4.8242E-13 2.2238E-12 3.3374E-10
1.9196E-12 2.1204E-11 4.0024E-13 -5.4678E-12 2.1861E-11 3.7501E-09
3.5761E-14 4.0024E-13 1.9598E-13 -2.5966E-13 4.1525E-13 7.3298E-11
-4.8242E-13 -5.4678E-12 -2.5966E-13 1.7318E-12 -5.6688E-12 -1.0039E-09
2.2238E-12 2.1861E-11 4.1525E-13 -5.6688E-12 2.2865E-11 3.8899E-09
3.3374E-10 3.7501E-09 7.3298E-11 -1.0039E-09 3.8899E-09 6.8735E-07
# lat0 lon0 xBary yBary zBary JD0
1.139672 -72.532000 0.374922 0.018475 -0.939435 2459382.936851
# Heliocentric elements and errors
Epoch: 2459380.5000 = 2021/06/15
Mean Anomaly: 9.11045 +/- 19.191
Argument of Peri: 135.62739 +/- 23.073
Long of Asc Node: 140.39581 +/- 0.026
Inclination: 2.02135 +/- 0.001
Eccentricity: 0.08866085 +/- 0.0073
Semi-Major Axis: 45.91622239 +/- 0.0694
Time of Perihelion: 2456504.5248 +/- 6058.3
Perihelion: 41.84525097 +/- 0.3422
Aphelion: 49.98719380 +/- 0.3447
Period (y) 311.1411 +/- 0.71
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.22510060 +/- 0.0024
Ecliptic Y -40.07603207 +/- 0.0077
Ecliptic Z 0.81472184 +/- 0.0002
Ecliptic XDOT 0.00266179 +/- 0.0000
Ecliptic YDOT 0.00076555 +/- 0.0001
Ecliptic ZDOT -0.00008071 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.90710205 +/- 0.0074
Geocenter to KBO 40.95905327 +/- 0.0080
# Hcoef: 8.69
The following table shows the complete astrometric record for 21MA23. 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 (21MA23) followed by the observatory code and reference code for the source of the astrometry.
2021 06 17.43605 19 15 05.668 -21 10 06.18 24.9r 21MA23 266 C~6Ip5 2021 06 17.50053 19 15 05.363 -21 10 06.71 24.9r 21MA23 266 C~6Ip5 2021 06 17.57953 19 15 04.989 -21 10 07.35 24.9r 21MA23 266 C~6Ip5 2021 07 05.35106 19 13 38.135 -21 12 43.46 24.6r 21MA23 266 C~6Ip5 2021 07 05.43951 19 13 37.681 -21 12 44.29 24.6r 21MA23 266 C~6Ip5 2021 07 05.52517 19 13 37.242 -21 12 45.07 24.6r 21MA23 266 C~6Ip5 2021 09 06.23258 19 09 18.614 -21 21 21.50 25.0r 21MA23 266 C~6Ip5 2021 09 06.31281 19 09 18.432 -21 21 21.94 25.0r 21MA23 266 C~6Ip5 2021 09 06.39352 19 09 18.250 -21 21 22.36 25.0r 21MA23 266 C~6Ip5 2022 10 20.21696 19 15 09.267 -21 15 06.07 21MA23 266 C~8ebo 2022 10 20.26058 19 15 09.352 -21 15 05.99 21MA23 266 C~8ebo 2022 10 20.29842 19 15 09.426 -21 15 05.91 21MA23 266 C~8ebo 2022 10 21.20926 19 15 11.315 -21 15 04.26 21MA23 266 C~8ebo 2022 10 21.25420 19 15 11.406 -21 15 04.16 21MA23 266 C~8ebo 2022 10 21.29846 19 15 11.497 -21 15 04.07 21MA23 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 0.01 0.00 -0.01
2 0.0002 -4.30 0.01 0.02 -0.01
3 0.0004 -9.57 -0.00 0.06 -0.02
4 0.0490 -1234.29 -0.01 -0.65 -0.01
5 0.0493 -1240.70 -0.01 -0.68 -0.01
6 0.0495 -1246.88 0.00 -0.68 -0.01
7 0.2212 -4898.62 0.00 -70.96 0.03
8 0.2214 -4901.20 0.00 -71.10 0.02
9 0.2216 -4903.77 -0.00 -71.21 0.03
10 1.3409 11.50 0.00 -303.87 -0.02
11 1.3411 12.69 0.01 -303.94 -0.03
12 1.3412 13.73 0.01 -303.99 -0.03
13 1.3437 40.13 0.00 -305.74 0.02
14 1.3438 41.40 -0.01 -305.80 0.03
15 1.3439 42.68 -0.01 -305.88 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.
21MA23 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.343 46.413 45.033 ecceobj 0.079 0.141 0.089 incobj 2.022 2.025 2.019 qmin 41.316 39.383 40.507 qmax 50.107 54.380 50.305 amean 45.596 46.697 45.260 amin 45.225 46.290 44.897 amax 45.985 47.150 45.648 emean 0.077 0.140 0.088 emin 0.064 0.127 0.074 emax 0.090 0.154 0.102 imean 1.603 1.568 1.700 imin 1.088 1.084 1.089 imax 2.023 1.996 2.269 excite_mean 0.082 0.143 0.093 fracstop 1.000 1.000 1.000 cjmean 3.113 3.110 3.106 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 166.6 162.7 181.8 kozaiamp 179.9 180.0 180.0