Orbit Fit and Astrometric record for 12DY98

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: 12DY98    
# Created Thu Dec 14 02:37:50 2017
# Orbit generated from Bernstein formalism
# Fitting   22 observations of   22
# Arc:   4.27y
# First observation: 2010/12/15
#  Last observation: 2015/03/24
Preliminary a, adot, b, bdot, g, gdot:
   0.000058   0.036484   0.000013  -0.011420   0.029691   0.000000
# Chi-squared of fit:    12.58 DOF:   38 RMS:  0.13
# Min/Max residuals:    -0.40    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.967009E-05  3.523693E-02 -6.236828E-06 -1.106216E-02  2.843834E-02  8.006892E-05
# Covariance matrix:
  3.6405E-13 -2.1684E-13 -4.1106E-14  5.4678E-14  2.3863E-14 -1.1866E-12
 -2.1684E-13  9.7490E-13  1.3833E-13 -2.9183E-13  9.6049E-13  6.1629E-12
 -4.1106E-14  1.3833E-13  2.5541E-13 -1.2094E-13  1.1063E-13  9.5461E-13
  5.4678E-14 -2.9183E-13 -1.2094E-13  1.2603E-13 -2.8155E-13 -1.9383E-12
  2.3863E-14  9.6049E-13  1.1063E-13 -2.8155E-13  1.2328E-12  5.8977E-12
 -1.1866E-12  6.1629E-12  9.5461E-13 -1.9383E-12  5.8977E-12  4.1007E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    7.381643  174.779616    0.984387   -0.002679    0.020775  2455546.061906
# Heliocentric elements and errors
Epoch:              2455540.5000  =  2010/12/10
Mean Anomaly:          358.77431 +/-     0.009
Argument of Peri:      160.57950 +/-     0.030
Long of Asc Node:       15.63628 +/-     0.000
Inclination:            18.72730 +/-     0.000
Eccentricity:         0.49738561 +/-    0.0001
Semi-Major Axis:     69.87779901 +/-    0.0178
Time of Perihelion: 2456266.9138 +/-       5.1
Perihelion:          35.12158758 +/-    0.0119
Aphelion:           104.63401044 +/-    0.0277
Period (y)              584.1401 +/-      0.22
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -34.61320202 +/-    0.0014
Ecliptic Y            4.14982788 +/-    0.0001
Ecliptic Z            4.51752419 +/-    0.0002
Ecliptic XDOT        -0.00045320 +/-    0.0000
Ecliptic YDOT        -0.00335893 +/-    0.0000
Ecliptic ZDOT        -0.00105517 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   35.15256534 +/-    0.0013
Geocenter to KBO     35.16379561 +/-    0.0014
# Hcoef:  6.88

The following table shows the complete astrometric record for 12DY98. 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 (12DY98) followed by the observatory code and reference code for the source of the astrometry.

2010 12  15.56114  11 52 39.030  +08 50 43.41  22.4r 12DY98    F51  C~1vWc      
2010 12  15.57016  11 52 39.036  +08 50 42.98  22.5w 12DY98    F51  C~1vWc      
2010 12  15.59097  11 52 39.073  +08 50 43.24  22.4w 12DY98    F51  C~1vWc      
2012 02  26.40700  11 56 41.343  +07 46 50.97  22.3w 12DY98    F51  C~1vWc      
2012 02  26.43582  11 56 41.185  +07 46 51.79  22.4w 12DY98    F51  C~1vWc      
2012 02  26.45023  11 56 41.116  +07 46 51.99  22.5w 12DY98    F51  C~1vWc      
2012 03  27.33691  11 54 04.609  +08 00 49.70  22.1w 12DY98    F51  C~1vWc      
2012 03  27.35135  11 54 04.534  +08 00 50.20  22.3w 12DY98    F51  C~1vWc      
2012 03  27.36579  11 54 04.458  +08 00 50.16  22.3w 12DY98    F51  C~1vWc      
2012 03  27.38025  11 54 04.384  +08 00 50.65  22.1w 12DY98    F51  C~1vWc      
2013 04  04.37291  12 00 00.533  +06 37 46.94  22.5w 12DY98    F51  C~1vWc      
2013 04  04.38765  12 00 00.457  +06 37 47.26  22.6w 12DY98    F51  C~1vWc      
2013 04  04.41709  12 00 00.297  +06 37 48.06  22.5w 12DY98    F51  C~1vWc      
2014 02  27.48530  12 09 42.396  +04 54 54.12  22.8w 12DY98    F51  C~1vWc      
2014 02  27.49755  12 09 42.351  +04 54 54.50  22.5w 12DY98    F51  C~1vWc      
2014 02  27.52220  12 09 42.217  +04 54 55.48  22.4w 12DY98    F51  C~1vWc      
2014 04  29.26288  12 04 40.232  +05 18 55.29  22.6w 12DY98    F51  C~1vWc      
2014 04  29.27476  12 04 40.178  +05 18 55.49  22.3w 12DY98    F51  C~1vWc      
2014 04  29.28667  12 04 40.124  +05 18 55.46  22.4w 12DY98    F51  C~1vWc      
2015 03  24.41786  12 14 08.341  +03 39 42.05  22.2w 12DY98    F51  C~1vWc      
2015 03  24.43232  12 14 08.283  +03 39 42.61  22.5w 12DY98    F51  C~1vWc      
2015 03  24.46132  12 14 08.103  +03 39 43.13  22.1w 12DY98    F51  C~1vWc      

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     0.02
  2   0.0000      0.25     0.05      -0.36    -0.40
  3   0.0001      0.65     0.02       0.10    -0.08
  4   1.1988   4834.93     0.11   -2063.35     0.23
  5   1.1988   4832.45    -0.08   -2063.54     0.12
  6   1.1989   4831.43     0.04   -2063.77    -0.07
  7   1.2807   2364.69    -0.11   -2232.64     0.18
  8   1.2807   2363.47    -0.13   -2232.63     0.33
  9   1.2808   2362.46     0.05   -2233.12    -0.03
 10   1.2808   2361.25     0.05   -2233.11     0.11
 11   2.3020   9227.45    -0.02   -4659.84    -0.11
 12   2.3021   9226.29     0.00   -4660.01    -0.12
 13   2.3021   9223.78    -0.13   -4660.24    -0.03
 14   3.2031  19731.35    -0.02   -6780.98    -0.16
 15   3.2031  19730.58     0.17   -6780.91    -0.03
 16   3.2032  19728.33    -0.15   -6780.83     0.15
 17   3.3695  14986.22     0.18   -7302.53    -0.00
 18   3.3695  14985.39     0.08   -7302.68     0.02
 19   3.3695  14984.67     0.08   -7303.04    -0.18
 20   4.2707  25283.69    -0.13   -9297.72    -0.04
 21   4.2707  25282.66     0.09   -9297.56     0.24
 22   4.2708  25279.94    -0.12   -9298.19    -0.15

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.

12DY98    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        70.026    70.072    69.980
ecceobj         0.498     0.498     0.498
incobj         18.728    18.728    18.727
qmin           33.466    33.450    33.736
qmax          109.029   110.008   109.891
amean          70.187    70.650    70.668
amin           68.924    69.261    69.145
amax           71.769    72.215    72.171
emean           0.506     0.510     0.507
emin            0.488     0.493     0.490
emax            0.523     0.525     0.523
imean          17.895    17.733    18.076
imin           16.843    16.761    17.212
imax           19.116    19.045    19.163
excite_mean     0.592     0.594     0.595
fracstop        1.000     1.000     1.000
cjmean          2.935     2.936     2.936

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       209.0     175.8     173.8
kozaiamp        179.9     180.0     179.9