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: 23FK57
# Created Wed Jul 17 01:11:59 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 1.12y
# First observation: 2023/03/21
# Last observation: 2024/05/04
Preliminary a, adot, b, bdot, g, gdot:
0.000002 0.024847 -0.000004 0.013385 0.026265 0.000000
# Chi-squared of fit: 6.07 DOF: 12 RMS: 0.15
# Min/Max residuals: -0.37 0.32
# Exact a, adot, b, bdot, g, gdot:
1.462898E-05 2.514558E-02 7.917978E-06 1.352822E-02 2.662327E-02 -1.528205E-05
# Covariance matrix:
7.0649E-13 1.1942E-12 -7.1308E-14 1.1063E-12 1.8068E-12 7.0346E-11
1.1942E-12 3.9859E-11 -2.2455E-12 3.3730E-11 1.9091E-11 2.1590E-09
-7.1308E-14 -2.2455E-12 4.2035E-13 -2.2389E-12 -1.0521E-12 -1.2430E-10
1.1063E-12 3.3730E-11 -2.2389E-12 2.9859E-11 1.5910E-11 1.8660E-09
1.8068E-12 1.9091E-11 -1.0521E-12 1.5910E-11 1.2559E-11 1.0170E-09
7.0346E-11 2.1590E-09 -1.2430E-10 1.8660E-09 1.0170E-09 1.1945E-07
# lat0 lon0 xBary yBary zBary JD0
0.267103 157.734808 -0.382494 0.004112 -0.929305 2460024.785371
# Heliocentric elements and errors
Epoch: 2460020.5000 = 2023/03/17
Mean Anomaly: 4.21286 +/- 5.188
Argument of Peri: 355.16894 +/- 6.612
Long of Asc Node: 157.81516 +/- 0.000
Inclination: 28.34719 +/- 0.007
Eccentricity: 0.11681518 +/- 0.0013
Semi-Major Axis: 43.55431982 +/- 0.0175
Time of Perihelion: 2458791.8750 +/- 1512.9
Perihelion: 38.46651429 +/- 0.0596
Aphelion: 48.64212536 +/- 0.0608
Period (y) 287.4452 +/- 0.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -35.75640892 +/- 0.0046
Ecliptic Y 14.22976630 +/- 0.0019
Ecliptic Z 0.17540756 +/- 0.0000
Ecliptic XDOT -0.00097423 +/- 0.0000
Ecliptic YDOT -0.00238743 +/- 0.0000
Ecliptic ZDOT 0.00139115 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.48425387 +/- 0.0044
Geocenter to KBO 37.56112684 +/- 0.0050
# Hcoef: 7.58
The following table shows the complete astrometric record for 23FK57. 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 (23FK57) followed by the observatory code and reference code for the source of the astrometry.
2023 03 21.28457 10 38 03.048 +08 54 58.56 23.2r 23FK57 T09 C~83ID 2023 03 21.48023 10 38 02.159 +08 55 05.32 23.4r 23FK57 T09 C~83ID 2023 04 22.10371 10 36 09.806 +09 10 21.49 23.5r 23FK57 304 C~83ID 2023 04 22.16940 10 36 09.633 +09 10 23.28 23.2r 23FK57 304 C~83ID 2023 05 16.02546 10 35 36.906 +09 16 37.07 23.2r 23FK57 304 C~83ID 2023 05 18.07589 10 35 36.568 +09 16 54.13 23.8r 23FK57 304 C~83ID 2024 04 12.13662 10 43 08.065 +09 17 27.46 23.3r 23FK57 304 C~83ID 2024 05 04.02714 10 42 15.325 +09 25 08.51 23.5r 23FK57 304 C~83ID 2024 05 04.11202 10 42 15.188 +09 25 09.69 23.7r 23FK57 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 0.06 0.00 0.02
2 0.0005 -14.74 0.06 1.36 0.02
3 0.0871 -1900.51 -0.12 232.62 -0.04
4 0.0873 -1903.55 -0.37 233.33 0.23
5 0.1526 -2492.32 0.06 400.53 -0.06
6 0.1582 -2503.29 0.32 414.52 -0.20
7 1.0619 3685.16 0.06 2942.05 -0.01
8 1.1218 2788.26 -0.02 3076.10 0.08
9 1.1220 2785.94 -0.05 3076.43 -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.
23FK57 quality flag:2 Type: SCATNEAR SCATEXTD SCATEXTD axisobj 43.840 44.292 43.493 ecceobj 0.121 0.139 0.111 incobj 28.315 28.338 28.292 qmin 36.564 37.075 37.547 qmax 51.352 51.741 49.674 amean 43.799 44.252 43.473 amin 43.314 43.898 43.114 amax 44.213 44.662 43.847 emean 0.137 0.144 0.118 emin 0.108 0.129 0.104 emax 0.163 0.159 0.134 imean 27.131 27.323 27.299 imin 26.668 26.936 26.956 imax 27.669 27.676 27.680 excite_mean 0.476 0.481 0.474 fracstop 1.000 1.000 1.000 cjmean 2.814 2.813 2.814 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 165.3 166.1 171.7 kozaiamp 180.0 180.0 180.0