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: 18AK39
# Created Fri Nov 22 02:10:55 2024
# Orbit generated from Bernstein formalism
# Fitting 6 observations of 6
# Arc: 2.03y
# First observation: 2018/01/15
# Last observation: 2020/01/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.006954 -0.000001 0.001542 0.013396 0.000000
# Chi-squared of fit: 1.03 DOF: 6 RMS: 0.07
# Min/Max residuals: -0.17 0.17
# Exact a, adot, b, bdot, g, gdot:
8.091917E-06 6.957360E-03 1.614073E-06 1.541757E-03 1.343906E-02 -6.273723E-05
# Covariance matrix:
7.2385E-13 -4.0643E-13 -5.5184E-15 4.2975E-16 -5.9528E-13 2.3109E-13
-4.0643E-13 5.2400E-11 -2.7821E-12 1.3565E-11 1.3769E-11 4.3021E-09
-5.5184E-15 -2.7821E-12 7.3457E-13 -1.0746E-12 -6.9999E-13 -2.3029E-10
4.2975E-16 1.3565E-11 -1.0746E-12 3.8947E-12 3.5240E-12 1.1219E-09
-5.9528E-13 1.3769E-11 -6.9999E-13 3.5240E-12 6.0718E-12 1.1172E-09
2.3109E-13 4.3021E-09 -2.3029E-10 1.1219E-09 1.1172E-09 3.5581E-07
# lat0 lon0 xBary yBary zBary JD0
9.277252 112.764131 -0.036432 0.159416 -0.975018 2458134.076511
# Heliocentric elements and errors
Epoch: 2458130.5000 = 2018/01/12
Mean Anomaly: 182.13346 +/- 4.882
Argument of Peri: 215.67314 +/- 5.488
Long of Asc Node: 77.24905 +/- 0.030
Inclination: 15.49684 +/- 0.011
Eccentricity: 0.46560136 +/- 0.0016
Semi-Major Axis: 51.43827922 +/- 0.0219
Time of Perihelion: 2524706.8275 +/- 1827.0
Perihelion: 27.48854631 +/- 0.0827
Aphelion: 75.38801213 +/- 0.0880
Period (y) 368.9248 +/- 0.24
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -28.83361493 +/- 0.0052
Ecliptic Y 68.60683767 +/- 0.0124
Ecliptic Z 11.99587337 +/- 0.0022
Ecliptic XDOT -0.00127654 +/- 0.0000
Ecliptic YDOT -0.00061168 +/- 0.0001
Ecliptic ZDOT 0.00030778 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 75.38021294 +/- 0.0115
Geocenter to KBO 74.40998820 +/- 0.0136
# Hcoef: 6.43
The following table shows the complete astrometric record for 18AK39. 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 (18AK39) followed by the observatory code and reference code for the source of the astrometry.
2018 01 15.57571 07 45 25.081 +30 39 26.75 25.0r 18AK39 568 C~4ZY3 2018 01 16.57184 07 45 21.703 +30 39 35.10 25.1r 18AK39 568 C~4ZY3 2018 12 11.28219 07 49 10.276 +30 34 02.86 25.1r 18AK39 304 C~4ZY3 2018 12 12.33646 07 49 07.415 +30 34 15.38 25.1r 18AK39 304 C~4ZY3 2020 01 25.45007 07 48 40.339 +30 42 26.66 25.2r 18AK39 568 C~4ZY3 2020 01 25.51945 07 48 40.104 +30 42 27.24 25.1r 18AK39 568 C~4ZY3
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 0.04
2 0.0027 -44.38 -0.02 0.42 -0.05
3 0.9027 2917.51 0.17 213.68 0.01
4 0.9056 2878.86 -0.17 219.07 -0.00
5 2.0257 2443.84 0.01 636.57 -0.04
6 2.0259 2440.76 -0.01 636.58 0.04
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.
18AK39 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 51.625 52.820 51.587 ecceobj 0.461 0.476 0.462 incobj 15.384 15.416 15.383 qmin 27.699 26.924 27.247 qmax 75.445 81.340 75.421 amean 51.538 52.972 50.953 amin 51.451 52.182 50.217 amax 51.625 54.439 51.588 emean 0.462 0.480 0.459 emin 0.461 0.468 0.450 emax 0.462 0.494 0.463 imean 14.068 14.090 14.151 imin 14.048 13.512 14.047 imax 14.087 14.718 14.272 excite_mean 0.522 0.538 0.520 fracstop 0.000 0.273 0.001 cjmean 2.833 2.826 2.828 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 216.4 193.0 216.7 kozaiamp 0.2 179.9 0.7