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: 23FJ57
# Created Sun Dec 22 02:11:24 2024
# Orbit generated from Bernstein formalism
# Fitting 10 observations of 10
# Arc: 1.12y
# First observation: 2023/03/21
# Last observation: 2024/05/04
Preliminary a, adot, b, bdot, g, gdot:
0.000021 0.021503 0.000008 -0.002174 0.023523 0.000000
# Chi-squared of fit: 6.75 DOF: 14 RMS: 0.15
# Min/Max residuals: -0.42 0.20
# Exact a, adot, b, bdot, g, gdot:
1.423668E-05 2.174852E-02 -2.293078E-06 -2.180004E-03 2.388327E-02 -1.841558E-03
# Covariance matrix:
7.1837E-13 1.3506E-12 9.0754E-14 -2.9778E-13 2.0230E-12 8.9497E-11
1.3506E-12 8.9143E-11 2.6095E-12 -1.6618E-11 4.8119E-11 5.1174E-09
9.0754E-14 2.6095E-12 3.9656E-13 -8.1310E-13 1.5425E-12 1.5007E-10
-2.9778E-13 -1.6618E-11 -8.1310E-13 3.7618E-12 -8.9849E-12 -9.6124E-10
2.0230E-12 4.8119E-11 1.5425E-12 -8.9849E-12 2.9490E-11 2.7603E-09
8.9497E-11 5.1174E-09 1.5007E-10 -9.6124E-10 2.7603E-09 2.9605E-07
# lat0 lon0 xBary yBary zBary JD0
4.093693 151.760483 -0.476568 0.062941 -0.882502 2460024.748461
# Heliocentric elements and errors
Epoch: 2460020.5000 = 2023/03/17
Mean Anomaly: 221.53776 +/- 9.529
Argument of Peri: 291.59160 +/- 9.389
Long of Asc Node: 6.95572 +/- 0.012
Inclination: 7.04366 +/- 0.002
Eccentricity: 0.11572955 +/- 0.0123
Semi-Major Axis: 39.15380307 +/- 0.1336
Time of Perihelion: 2494438.7044 +/- 2362.0
Perihelion: 34.62255095 +/- 0.4947
Aphelion: 43.68505518 +/- 0.5030
Period (y) 245.0017 +/- 1.25
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.78895939 +/- 0.0084
Ecliptic Y 19.75961026 +/- 0.0045
Ecliptic Z 2.98893264 +/- 0.0007
Ecliptic XDOT -0.00101177 +/- 0.0001
Ecliptic YDOT -0.00227888 +/- 0.0000
Ecliptic ZDOT -0.00026436 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.74788144 +/- 0.0077
Geocenter to KBO 41.87030885 +/- 0.0095
# Hcoef: 7.47
The following table shows the complete astrometric record for 23FJ57. 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 (23FJ57) followed by the observatory code and reference code for the source of the astrometry.
2023 03 21.24766 10 21 06.318 +14 40 07.07 23.5r 23FJ57 T09 C~83ID 2023 03 21.44274 10 21 05.479 +14 40 10.78 23.6r 23FJ57 T09 C~83ID 2023 05 23.17737 10 18 57.765 +14 45 25.12 23FJ57 G37 C~83ID 2023 05 23.24513 10 18 57.779 +14 45 24.01 23FJ57 G37 C~83ID 2023 05 23.24892 10 18 57.769 +14 45 23.87 23FJ57 G37 C~83ID 2023 05 24.16893 10 18 58.358 +14 45 14.40 23FJ57 G37 C~83ID 2024 04 12.05458 10 24 20.808 +14 11 41.41 23.9r 23FJ57 304 C~83ID 2024 04 12.14666 10 24 20.527 +14 11 42.31 23.8r 23FJ57 304 C~83ID 2024 05 04.00307 10 23 35.282 +14 13 35.42 23.8r 23FJ57 304 C~83ID 2024 05 04.06527 10 23 35.196 +14 13 35.39 23.9r 23FJ57 304 C~83ID
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 0.03 0.00 0.18
2 0.0005 -12.69 -0.10 -0.95 0.08
3 0.1723 -1854.11 0.16 -376.96 0.20
4 0.1725 -1853.52 0.01 -377.93 -0.26
5 0.1725 -1853.61 -0.12 -378.11 -0.42
6 0.1750 -1842.23 0.02 -383.87 0.15
7 1.0618 3252.54 0.06 -560.67 0.10
8 1.0620 3248.40 0.02 -561.33 0.01
9 1.1218 2594.49 0.01 -696.26 -0.00
10 1.1220 2593.34 -0.10 -696.74 -0.05
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.
23FJ57 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.352 39.623 39.279 ecceobj 0.112 0.155 0.093 incobj 7.032 7.028 7.034 qmin 33.856 32.531 34.594 qmax 45.421 47.197 44.975 amean 39.459 39.459 39.460 amin 39.074 38.888 39.006 amax 39.872 40.073 39.961 emean 0.122 0.154 0.103 emin 0.102 0.127 0.082 emax 0.140 0.178 0.125 imean 6.999 5.696 6.709 imin 6.324 3.562 5.229 imax 7.726 8.168 7.756 excite_mean 0.172 0.184 0.156 fracstop 1.000 1.000 1.000 cjmean 3.018 3.013 3.023 libcent 0 179.6 181.0 179.9 libamp 0 64.1 140.0 107.0 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 181.6 184.6 180.7 kozaiamp 180.0 179.9 180.0