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: 22FM12
# Created Wed Jul 17 01:11:53 2024
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 2.11y
# First observation: 2022/03/26
# Last observation: 2024/05/04
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.031196 0.000003 -0.003177 0.027560 0.000000
# Chi-squared of fit: 26.77 DOF: 30 RMS: 0.22
# Min/Max residuals: -0.50 0.46
# Exact a, adot, b, bdot, g, gdot:
1.824451E-05 3.121008E-02 -7.742023E-07 -3.175010E-03 2.768108E-02 -6.170843E-06
# Covariance matrix:
2.4323E-13 -5.7466E-13 -1.3467E-14 6.1750E-14 3.4079E-14 -9.8916E-12
-5.7466E-13 1.5813E-11 5.6370E-13 -2.5948E-12 -1.2477E-11 4.1521E-10
-1.3467E-14 5.6370E-13 2.1541E-13 -2.2846E-13 -4.7042E-13 1.5071E-11
6.1750E-14 -2.5948E-12 -2.2846E-13 5.9274E-13 2.1676E-12 -6.9390E-11
3.4079E-14 -1.2477E-11 -4.7042E-13 2.1676E-12 1.2743E-11 -3.4675E-10
-9.8916E-12 4.1521E-10 1.5071E-11 -6.9390E-11 -3.4675E-10 1.1103E-08
# lat0 lon0 xBary yBary zBary JD0
1.207408 -157.276230 0.306962 0.020014 -0.957820 2459664.645761
# Heliocentric elements and errors
Epoch: 2459660.5000 = 2022/03/22
Mean Anomaly: 357.74618 +/- 0.757
Argument of Peri: 171.97783 +/- 1.161
Long of Asc Node: 33.66057 +/- 0.001
Inclination: 5.93038 +/- 0.001
Eccentricity: 0.20111932 +/- 0.0006
Semi-Major Axis: 46.39802636 +/- 0.0482
Time of Perihelion: 2460383.2102 +/- 242.6
Perihelion: 37.06648666 +/- 0.0468
Aphelion: 55.72956605 +/- 0.0637
Period (y) 316.0512 +/- 0.49
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -34.30735638 +/- 0.0043
Ecliptic Y -14.04204884 +/- 0.0018
Ecliptic Z 0.76119142 +/- 0.0001
Ecliptic XDOT 0.00118942 +/- 0.0000
Ecliptic YDOT -0.00284089 +/- 0.0000
Ecliptic ZDOT -0.00031410 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.07766511 +/- 0.0040
Geocenter to KBO 36.12575248 +/- 0.0047
# Hcoef: 8.08
The following table shows the complete astrometric record for 22FM12. 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 (22FM12) followed by the observatory code and reference code for the source of the astrometry.
2022 03 26.14496 13 25 53.06 -07 43 03.2 23.5R 22FM12 W93 C~5bqo 2022 03 26.18023 13 25 52.91 -07 43 02.3 23.1R 22FM12 W93 C~5bqo 2022 03 26.21168 13 25 52.73 -07 43 01.2 23.3R 22FM12 W93 C~5bqo 2022 03 28.14190 13 25 43.46 -07 42 08.5 22FM12 W93 C~5bqo 2022 03 28.17563 13 25 43.35 -07 42 08.0 23.7R 22FM12 W93 C~5bqo 2022 03 28.21163 13 25 43.15 -07 42 07.1 23.7R 22FM12 W93 C~5bqo 2023 03 16.14740 13 33 04.95 -08 36 54.4 22FM12 W93 C~7BnA 2023 03 16.23226 13 33 04.60 -08 36 52.9 22FM12 W93 C~7BnA 2023 03 18.15303 13 32 56.36 -08 36 07.0 23.7R 22FM12 W93 C~7BnA 2023 03 18.16693 13 32 56.27 -08 36 06.5 22FM12 W93 C~7BnA 2023 03 18.22765 13 32 56.02 -08 36 04.8 22FM12 W93 C~7BnA 2023 03 24.18524 13 32 29.21 -08 33 35.3 23.4R 22FM12 W93 C~7BnA 2023 03 24.19918 13 32 29.17 -08 33 34.8 23.2R 22FM12 W93 C~7BnA 2023 03 24.21323 13 32 29.07 -08 33 34.8 23.1R 22FM12 W93 C~7BnA 2023 03 24.22537 13 32 29.01 -08 33 34.3 23.6R 22FM12 W93 C~7BnA 2024 05 04.277480 13 35 28.938 -09 04 06.49 23.4G 22FM12 G37 C~82ny 2024 05 04.309480 13 35 28.775 -09 04 05.57 22FM12 G37 C~82ny 2024 05 04.341520 13 35 28.621 -09 04 04.85 22FM12 G37 C~82ny
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 -0.09 0.00 -0.21
2 0.0001 -2.40 0.22 0.01 -0.15
3 0.0002 -5.30 -0.25 0.04 -0.06
4 0.0055 -152.81 -0.50 -2.03 0.10
5 0.0056 -154.51 0.42 -2.17 0.02
6 0.0057 -157.61 0.13 -2.44 -0.18
7 0.9719 7154.71 -0.42 -643.19 0.46
8 0.9722 7149.32 -0.01 -643.69 0.08
9 0.9774 7018.64 0.27 -645.72 -0.11
10 0.9775 7017.22 -0.19 -645.74 -0.11
11 0.9776 7013.14 -0.01 -645.52 0.20
12 0.9940 6587.90 0.09 -652.06 0.11
13 0.9940 6587.17 0.39 -651.82 0.39
14 0.9940 6585.78 0.06 -652.36 -0.13
15 0.9941 6584.77 -0.05 -652.22 0.03
16 2.1085 9742.08 0.05 -1383.67 -0.16
17 2.1086 9739.49 -0.09 -1383.69 -0.09
18 2.1087 9737.10 -0.03 -1383.85 -0.17
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.
22FM12 quality flag:2 Type: SCATNEAR SCATNEAR CLASSICAL axisobj 46.431 46.729 46.149 ecceobj 0.201 0.206 0.196 incobj 5.928 5.928 5.927 qmin 36.268 36.188 36.274 qmax 57.702 58.323 57.014 amean 46.728 47.015 46.418 amin 46.309 46.582 45.999 amax 47.260 47.592 46.919 emean 0.204 0.210 0.200 emin 0.189 0.192 0.183 emax 0.222 0.228 0.216 imean 5.234 5.216 5.241 imin 4.273 4.269 4.253 imax 6.248 6.166 6.275 excite_mean 0.224 0.229 0.220 fracstop 1.000 1.000 1.000 cjmean 3.072 3.073 3.071 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 179.7 181.8 180.3 kozaiamp 180.0 180.0 180.0