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: 20MH53
# Created Tue Apr 1 01:11:20 2025
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 24
# Arc: 75.96d
# First observation: 2020/05/30
# Last observation: 2020/08/14
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.018703 0.000004 -0.000553 0.023460 0.000000
# Chi-squared of fit: 1.89 DOF: 42 RMS: 0.05
# Min/Max residuals: -0.12 0.10
# Exact a, adot, b, bdot, g, gdot:
1.593847E-05 2.450766E-02 -7.916525E-07 -5.463073E-04 2.443684E-02 -9.156094E-04
# Covariance matrix:
2.8678E-13 5.2918E-11 -3.8942E-14 2.2081E-14 1.0841E-11 3.5561E-10
5.2918E-11 1.6409E-07 -1.1291E-10 1.0999E-10 3.0385E-08 4.9028E-07
-3.8942E-14 -1.1291E-10 2.2768E-13 -9.5744E-13 -2.0923E-11 -3.4052E-10
2.2081E-14 1.0999E-10 -9.5744E-13 8.8132E-12 2.0266E-11 3.0581E-10
1.0841E-11 3.0385E-08 -2.0923E-11 2.0266E-11 5.6332E-09 9.2228E-08
3.5561E-10 4.9028E-07 -3.4052E-10 3.0581E-10 9.2228E-08 1.7836E-06
# lat0 lon0 xBary yBary zBary JD0
2.147239 -72.675972 0.628257 0.029458 -0.789111 2458999.966731
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 326.90980 +/- 31.724
Argument of Peri: 159.81190 +/- 39.408
Long of Asc Node: 165.80862 +/- 0.514
Inclination: 2.44777 +/- 0.013
Eccentricity: 0.08897151 +/- 0.0192
Semi-Major Axis: 44.95736379 +/- 0.9132
Time of Perihelion: 2469110.8735 +/- 9697.7
Perihelion: 40.95743910 +/- 1.2003
Aphelion: 48.95728847 +/- 1.3182
Period (y) 301.4460 +/- 9.18
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.81799052 +/- 0.0374
Ecliptic Y -39.98576020 +/- 0.1199
Ecliptic Z 1.53328166 +/- 0.0047
Ecliptic XDOT 0.00259950 +/- 0.0001
Ecliptic YDOT 0.00091686 +/- 0.0001
Ecliptic ZDOT -0.00006524 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.72381659 +/- 0.1154
Geocenter to KBO 40.92181362 +/- 0.1257
# Hcoef: 9.54
The following table shows the complete astrometric record for 20MH53. 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 (20MH53) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.46593 19 13 56.194 -20 11 14.22 25.3r 20MH53 266 C~7ulr 2020 05 30.54302 19 13 55.899 -20 11 14.61 25.3r 20MH53 266 C~7ulr 2020 05 30.61862 19 13 55.608 -20 11 14.98 25.3r 20MH53 266 C~7ulr 2020 06 01.43269 19 13 48.713 -20 11 24.55 25.8r 20MH53 266 C~7ulr 2020 06 01.47325 19 13 48.553 -20 11 24.77 25.8r 20MH53 266 C~7ulr 2020 06 01.60571 19 13 48.028 -20 11 25.47 25.8r 20MH53 266 C~7ulr 2020 06 20.45583 19 12 25.645 -20 13 29.34 25.6r 20MH53 266 C~6c5f 2020 06 20.52860 19 12 25.292 -20 13 29.89 25.6r 20MH53 266 C~6c5f 2020 06 20.62233 19 12 24.837 -20 13 30.59 25.6r 20MH53 266 C~6c5f 2020 06 22.44948 19 12 16.073 -20 13 44.94 25.8r 20MH53 266 C~6c5f 2020 06 22.52092 19 12 15.722 -20 13 45.50 25.8r 20MH53 266 C~6c5f 2020 06 22.59118 19 12 15.376 -20 13 46.04 25.8r 20MH53 266 C~6c5f 2020 06 25.44823 19 12 01.457 -20 14 08.91 25.5r 20MH53 266 C~6c5f 2020 06 25.53213 19 12 01.038 -20 14 09.59 25.5r 20MH53 266 C~6c5f 2020 06 25.61487 19 12 00.625 -20 14 10.24 25.5r 20MH53 266 C~6c5f 2020 08 12.26680 19 08 12.623 -20 21 20.09 26.0r 20MH53 266 C~6c5f 2020 08 12.34843 19 08 12.289 -20 21 20.81 26.0r 20MH53 266 C~6c5f 2020 08 12.42950 19 08 11.959 -20 21 21.51 26.0r 20MH53 266 C~6c5f 2020 08 13.24332 19 08 08.738 -20 21 28.58 25.8r 20MH53 266 C~6c5f 2020 08 13.33331 19 08 08.376 -20 21 29.37 25.8r 20MH53 266 C~6c5f 2020 08 13.42301 19 08 08.015 -20 21 30.13 25.8r 20MH53 266 C~6c5f 2020 08 14.24286 19 08 04.837 -20 21 37.23 25.6r 20MH53 266 C~6c5f 2020 08 14.33285 19 08 04.480 -20 21 38.01 25.6r 20MH53 266 C~6c5f 2020 08 14.42134 19 08 04.130 -20 21 38.76 25.6r 20MH53 266 C~6c5f
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 0.09
2 0.0002 -4.17 -0.01 0.14 0.09
3 0.0004 -8.28 -0.02 0.29 0.10
4 0.0054 -105.78 0.02 3.03 -0.12
5 0.0055 -108.04 0.02 3.10 -0.11
6 0.0059 -115.47 0.02 3.34 -0.11
7 0.0575 -1281.55 -0.04 25.36 0.05
8 0.0577 -1286.55 -0.03 25.43 0.05
9 0.0579 -1292.99 -0.03 25.53 0.05
10 0.0629 -1417.18 0.02 26.57 -0.05
11 0.0631 -1422.15 0.03 26.62 -0.05
12 0.0633 -1427.05 0.02 26.69 -0.05
13 0.0711 -1624.29 0.00 28.19 0.02
14 0.0714 -1630.22 0.01 28.24 0.02
15 0.0716 -1636.07 0.00 28.32 0.02
16 0.2021 -4873.05 0.05 -11.99 0.00
17 0.2023 -4877.81 0.04 -12.15 0.00
18 0.2025 -4882.50 0.05 -12.30 -0.00
19 0.2047 -4928.34 -0.08 -13.99 0.01
20 0.2050 -4933.49 -0.08 -14.18 0.01
21 0.2052 -4938.63 -0.08 -14.34 0.02
22 0.2075 -4983.87 0.04 -16.14 -0.02
23 0.2077 -4988.95 0.03 -16.33 -0.02
24 0.2080 -4993.93 0.03 -16.49 -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.
20MH53 quality flag:1 Type: CLASSICAL CLASSICAL SCATNEAR axisobj 44.376 49.830 41.605 ecceobj 0.083 0.191 0.158 incobj 2.448 2.411 2.487 qmin 40.103 39.798 33.074 qmax 49.389 60.982 50.716 amean 44.600 50.153 41.406 amin 44.236 49.697 40.255 amax 44.992 50.678 42.297 emean 0.083 0.193 0.159 emin 0.067 0.182 0.118 emax 0.098 0.204 0.201 imean 2.790 2.394 4.098 imin 2.094 2.100 2.019 imax 3.432 2.694 6.162 excite_mean 0.096 0.198 0.176 fracstop 1.000 1.000 1.000 cjmean 3.098 3.131 3.037 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 179.4 177.6 181.0 kozaiamp 180.0 180.0 179.9