Orbit Fit and Astrometric record for 12HL85

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: 12HL85    
# Created Tue Dec 19 02:37:51 2017
# Orbit generated from Bernstein formalism
# Fitting   21 observations of   21
# Arc:   2.99y
# First observation: 2011/04/27
#  Last observation: 2014/04/23
Preliminary a, adot, b, bdot, g, gdot:
  -0.000418   0.023469   0.000030  -0.006733   0.023807   0.000000
# Chi-squared of fit:    10.30 DOF:   36 RMS:  0.12
# Min/Max residuals:    -0.30    0.29
# Exact a, adot, b, bdot, g, gdot:
  1.455701E-05  2.326807E-02 -4.128566E-06 -6.726954E-03  2.490936E-02 -2.872137E-04
# Covariance matrix:
  5.8132E-13 -6.1944E-13 -7.5974E-14  1.3192E-13 -1.8483E-13 -5.8818E-12
 -6.1944E-13  9.3437E-13  1.3886E-13 -2.3947E-13  4.7862E-13  1.0684E-11
 -7.5974E-14  1.3886E-13  3.2147E-13 -1.7824E-13  9.8469E-14  1.7827E-12
  1.3192E-13 -2.3947E-13 -1.7824E-13  1.5250E-13 -1.6275E-13 -3.0611E-12
 -1.8483E-13  4.7862E-13  9.8469E-14 -1.6275E-13  9.4498E-13  7.2884E-12
 -5.8818E-12  1.0684E-11  1.7827E-12 -3.0611E-12  7.2884E-12  1.3662E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.896054 -145.297701   -0.031443    0.068525   -1.006891  2455678.887056
# Heliocentric elements and errors
Epoch:              2455670.5000  =  2011/04/19
Mean Anomaly:          211.95027 +/-     1.083
Argument of Peri:      315.88357 +/-     1.080
Long of Asc Node:       47.63388 +/-     0.000
Inclination:            16.59084 +/-     0.001
Eccentricity:         0.02173841 +/-    0.0003
Semi-Major Axis:     40.39910413 +/-    0.0053
Time of Perihelion: 2494241.5212 +/-     282.0
Perihelion:          39.52089179 +/-    0.0117
Aphelion:            41.27731647 +/-    0.0118
Period (y)              256.7827 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -33.73569517 +/-    0.0013
Ecliptic Y          -23.40345162 +/-    0.0009
Ecliptic Z            2.72762242 +/-    0.0001
Ecliptic XDOT         0.00143870 +/-    0.0000
Ecliptic YDOT        -0.00210726 +/-    0.0000
Ecliptic ZDOT        -0.00073978 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   41.14922357 +/-    0.0012
Geocenter to KBO     40.14555424 +/-    0.0016
# Hcoef:  6.41

The following table shows the complete astrometric record for 12HL85. 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 (12HL85) followed by the observatory code and reference code for the source of the astrometry.

2011 04  27.38629  14 15 01.161  -09 24 56.54  22.7w 12HL85    F51  C~1w3q      
2011 04  27.43036  14 15 00.938  -09 24 55.71  22.3w 12HL85    F51  C~1w3q      
2012 04  27.43132  14 19 32.237  -10 12 50.16  22.7w 12HL85    F51  C~1w3q      
2012 04  27.44629  14 19 32.165  -10 12 49.88  22.9w 12HL85    F51  C~1w3q      
2012 04  27.46128  14 19 32.082  -10 12 49.24  22.5w 12HL85    F51  C~1w3q      
2012 04  27.47627  14 19 32.016  -10 12 49.28  22.4w 12HL85    F51  C~1w3q      
2012 05  21.35214  14 17 39.796  -10 05 19.35  22.5w 12HL85    F51  C~1w3q      
2012 05  21.36665  14 17 39.739  -10 05 19.16  23.0w 12HL85    F51  C~1w3q      
2012 05  21.38115  14 17 39.674  -10 05 19.12  22.8w 12HL85    F51  C~1w3q      
2012 05  21.39568  14 17 39.604  -10 05 18.76  22.6w 12HL85    F51  C~1w3q      
2013 01  17.62987  14 27 59.693  -11 19 00.84  22.8w 12HL85    F51  C~1w3q      
2013 01  17.63527  14 27 59.700  -11 19 00.97  22.7w 12HL85    F51  C~1w3q      
2013 05  09.40174  14 23 11.944  -10 56 55.57  22.3w 12HL85    F51  C~1w3q      
2013 05  09.41572  14 23 11.889  -10 56 55.63  22.7w 12HL85    F51  C~1w3q      
2013 05  09.42969  14 23 11.825  -10 56 55.09  22.4w 12HL85    F51  C~1w3q      
2013 05  09.44367  14 23 11.740  -10 56 54.77  22.3w 12HL85    F51  C~1w3q      
2014 03  27.54407  14 31 10.520  -11 58 48.49  22.4w 12HL85    F51  C~1w3q      
2014 04  05.52518  14 30 33.039  -11 56 02.90  22.6w 12HL85    F51  C~1w3q      
2014 04  05.53575  14 30 32.980  -11 56 02.29  22.7w 12HL85    F51  C~1w3q      
2014 04  05.55687  14 30 32.894  -11 56 02.23  22.6w 12HL85    F51  C~1w3q      
2014 04  23.41183  14 29 09.524  -11 50 05.61  22.6w 12HL85    F51  C~1w3q      

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     0.04       0.00    -0.03
  2   0.0001     -3.39     0.00      -0.31    -0.15
  3   1.0022   4731.23     0.02   -1391.12     0.02
  4   1.0022   4730.13     0.07   -1391.20    -0.00
  5   1.0023   4728.76    -0.16   -1391.00     0.26
  6   1.0023   4727.86     0.07   -1391.36    -0.03
  7   1.0677   3014.47    -0.14   -1511.49     0.05
  8   1.0677   3013.61    -0.02   -1511.59     0.05
  9   1.0677   3012.69     0.05   -1511.87    -0.14
 10   1.0678   3011.60    -0.07   -1511.87    -0.05
 11   1.7283  13111.21     0.02   -2718.06     0.29
 12   1.7283  13111.35     0.00   -2718.15     0.20
 13   2.0343   8662.34    -0.09   -2833.64    -0.05
 14   2.0343   8661.60     0.20   -2833.96    -0.30
 15   2.0343   8660.53     0.17   -2833.75    -0.02
 16   2.0344   8659.24    -0.08   -2833.86    -0.05
 17   2.9162  16551.04     0.09   -4087.24    -0.14
 18   2.9408  15973.28     0.06   -4105.59    -0.11
 19   2.9409  15972.25    -0.23   -4105.28     0.22
 20   2.9409  15971.03    -0.00   -4105.63    -0.07
 21   2.9898  14690.27    -0.00   -4158.81     0.06

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.

12HL85    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.311    40.327    40.296
ecceobj         0.024     0.023     0.024
incobj         16.606    16.606    16.607
qmin           38.976    39.088    39.007
qmax           42.287    42.201    42.310
amean          40.575    40.591    40.560
amin           40.280    40.288    40.262
amax           40.874    40.893    40.869
emean           0.018     0.018     0.018
emin            0.004     0.004     0.003
emax            0.035     0.033     0.036
imean          14.772    14.780    14.765
imin           13.876    13.895    13.865
imax           15.876    15.876    15.876
excite_mean     0.256     0.256     0.256
fracstop        1.000     1.000     1.000
cjmean          2.987     2.987     2.987

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       176.6     176.6     176.3
kozaiamp        180.0     180.0     180.0