Orbit Fit and Astrometric record for 13HY156

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: 13HY156   
# Created Mon Jul 16 01:38:00 2018
# Orbit generated from Bernstein formalism
# Fitting   25 observations of   26
# Arc:  16.19y
# First observation: 2002/03/12
#  Last observation: 2018/05/20
Preliminary a, adot, b, bdot, g, gdot:
  -0.003581   0.028476   0.000665  -0.005138   0.027580   0.000000
# Chi-squared of fit:    21.67 DOF:   44 RMS:  0.16
# Min/Max residuals:    -0.53    0.35
# Exact a, adot, b, bdot, g, gdot:
  1.690947E-05  2.676369E-02 -2.813100E-06 -4.863497E-03  2.630332E-02 -6.937228E-04
# Covariance matrix:
  3.3631E-13 -3.9449E-14 -1.4519E-14  4.9763E-15  1.5254E-13 -6.3890E-14
 -3.9449E-14  1.8688E-14  4.8693E-15 -2.9325E-15  2.9273E-14  3.8883E-14
 -1.4519E-14  4.8693E-15  2.3263E-13 -2.0433E-14 -1.1214E-14  1.3214E-14
  4.9763E-15 -2.9325E-15 -2.0433E-14  2.6786E-15 -1.9040E-15 -7.1821E-15
  1.5254E-13  2.9273E-14 -1.1214E-14 -1.9040E-15  4.8367E-13  3.0056E-14
 -6.3890E-14  3.8883E-14  1.3214E-14 -7.1821E-15  3.0056E-14  9.4800E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   19.407792 -154.404358    0.551344    0.274697   -0.779987  2452345.869228
# Heliocentric elements and errors
Epoch:              2452340.5000  =  2002/03/07
Mean Anomaly:          326.63541 +/-     0.039
Argument of Peri:      154.43658 +/-     0.044
Long of Asc Node:       86.07252 +/-     0.000
Inclination:            21.42606 +/-     0.000
Eccentricity:         0.06141616 +/-    0.0001
Semi-Major Axis:     40.84510386 +/-    0.0045
Time of Perihelion: 2461177.2336 +/-      10.2
Perihelion:          38.33655432 +/-    0.0050
Aphelion:            43.35365340 +/-    0.0055
Period (y)              261.0467 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -33.32164270 +/-    0.0009
Ecliptic Y          -15.34622144 +/-    0.0004
Ecliptic Z           12.63290741 +/-    0.0003
Ecliptic XDOT         0.00110478 +/-    0.0000
Ecliptic YDOT        -0.00255670 +/-    0.0000
Ecliptic ZDOT        -0.00050124 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.79985482 +/-    0.0008
Geocenter to KBO     38.01800935 +/-    0.0010
# Hcoef:  6.68

The following table shows the complete astrometric record for 13HY156. 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 (13HY156) followed by the observatory code and reference code for the source of the astrometry.

2002 03  12.368485 14 02 59.49   +08 12 33.1         13HY156   645  C~2e9a      
2002 03  12.369314 14 02 59.49   +08 12 33.1         13HY156   645  C~2e9a      
2002 03  12.371802 14 02 59.48   +08 12 33.1         13HY156   645  C~2e9a      
2003 04  28.226858 14 04 50.05   +07 46 42.0   22.2V 13HY156   645  C~2e9a      
2003 04  28.227687 14 04 50.04   +07 46 41.9   21.9V 13HY156   645  C~2e9a      
2003 04  28.230175 14 04 50.05   +07 46 42.0   23.1V 13HY156   645  C~2e9a      
2010 05  11.33834  14 41 22.323  +01 58 50.07  22.1r 13HY156   F51  C~1w3u      
2011 04  30.40268  14 47 40.737  +01 04 33.30  22.9w 13HY156   F51  C~1w3u      
2011 04  30.41622  14 47 40.664  +01 04 33.38  23.0w 13HY156   F51  C~1w3u      
2011 04  30.43131  14 47 40.594  +01 04 33.84  22.9w 13HY156   F51  C~1w3u      
2011 04  30.44498  14 47 40.494  +01 04 34.25  23.1w 13HY156   F51  C~1w3u      
2012 05  18.36908  14 51 27.964  +00 18 38.80  22.6w 13HY156   F51  C~1w3u      
2012 05  18.38267  14 51 27.906  +00 18 38.94  22.5w 13HY156   F51  C~1w3u      
2013 04  08.58196  15 00 07.195  -00 46 14.42  21.5g 13HY156   F51  C~1w3u      
2013 04  17.50821  14 59 26.352  -00 42 22.18  22.7w 13HY156   F51  C~1w3u      
2013 04  17.53850  14 59 26.203  -00 42 21.74  22.4w 13HY156   F51  C~1w3u      
2013 05  10.39101  14 57 31.773  -00 34 24.17  22.6w 13HY156   F51  C~1w3u      
2013 05  10.40586  14 57 31.700  -00 34 23.98  22.8w 13HY156   F51  C~1w3u      
2013 05  10.42074  14 57 31.613  -00 34 23.54  22.8w 13HY156   F51  C~1w3u      
2013 05  10.43560  14 57 31.539  -00 34 23.36  22.7w 13HY156   F51  C~1w3u      
2014 02  28.62114  15 07 22.596  -01 54 35.93  22.5w 13HY156   F51  C~1w3u      
2014 03  28.54457  15 06 14.374  -01 42 21.54  22.5w 13HY156   F51  C~1w3u      
2014 04  04.51345  15 05 47.733  -01 39 12.84  22.4w 13HY156   F51  C~1w3u      
2018 05  20.16879  15 23 50.418  -04 48 09.30  22.7R 13HY156   705              
2018 05  20.21422  15 23 50.186  -04 48 08.64        13HY156   705              
2018 05  20.25034  15 23 50.001  -04 48 08.23        13HY156   705              

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    -0.17       0.00    -0.02
  2   0.0000      0.00    -0.12       0.00    -0.04
  3   0.0000     -0.14    -0.10      -0.05    -0.13
  4   1.1276   2093.38     0.07    -849.23     0.04
  5   1.1276   2093.27     0.04    -849.37    -0.10
  6   1.1276   2093.38     0.33    -849.23     0.07
  7   8.1642  40791.61     0.35   -8180.63     0.10
  8   9.1336  47582.30    -0.14   -9110.37     0.11
  9   9.1336  47581.20    -0.11   -9110.72    -0.10
 10   9.1336  47580.00    -0.05   -9110.68     0.08
 11   9.1337  47578.37    -0.53   -9110.86     0.04
 12  10.1848  52034.42    -0.18  -10439.53     0.16
 13  10.1848  52033.51    -0.02  -10439.73     0.20
 14  11.0752  61390.07 (   1.63) -11195.66 (  -0.59)
 15  11.0996  60676.97     0.11  -11207.28     0.03
 16  11.0997  60674.54     0.21  -11207.72    -0.29
 17  11.1623  58755.62     0.08  -11407.97    -0.01
 18  11.1623  58754.45     0.16  -11408.21    -0.04
 19  11.1624  58752.96    -0.06  -11408.28     0.10
 20  11.1624  58751.78     0.01  -11408.54     0.06
 21  11.9678  69777.56     0.26  -12672.37     0.12
 22  12.0443  68410.69    -0.33  -12347.90    -0.20
 23  12.0634  67920.39     0.33  -12317.95     0.01
 24  16.1884  90152.94    -0.11  -17359.13    -0.14
 25  16.1885  90148.81    -0.07  -17359.81    -0.01
 26  16.1886  90145.58     0.02  -17360.47    -0.03

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.

13HY156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        40.637    40.650    40.623
ecceobj         0.059     0.059     0.059
incobj         21.419    21.420    21.419
qmin           37.563    37.590    37.589
qmax           44.567    44.454    44.422
amean          40.911    40.926    40.904
amin           40.595    40.611    40.585
amax           41.249    41.257    41.220
emean           0.065     0.065     0.065
emin            0.053     0.053     0.052
emax            0.080     0.078     0.078
imean          19.609    19.611    19.614
imin           18.997    19.002    19.006
imax           20.220    20.235    20.230
excite_mean     0.342     0.342     0.342
fracstop        1.000     1.000     1.000
cjmean          2.927     2.928     2.927

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       179.9     179.7     179.9
kozaiamp        180.0     180.0     180.0