Orbit Fit and Astrometric record for 18AK39

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 Wed Dec  8 02:14:06 2021
# 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:
  8.091918E-06  6.957360E-03  1.614074E-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    26.931    27.247
qmax           75.445    81.294    75.421
amean          51.538    52.971    50.954
amin           51.451    51.791    50.217
amax           51.625    54.514    51.588
emean           0.462     0.480     0.459
emin            0.461     0.468     0.450
emax            0.462     0.493     0.463
imean          14.068    14.082    14.151
imin           14.048    13.557    14.047
imax           14.087    14.717    14.271
excite_mean     0.522     0.539     0.520
fracstop        0.000     0.914     0.001
cjmean          2.833     2.825     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     189.6     216.7
kozaiamp          0.2     179.9       0.7