Orbit Fit and Astrometric record for 12XR157

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: 12XR157   
# Created Tue Oct 24 01:38:11 2017
# Orbit generated from Bernstein formalism
# Fitting   14 observations of   15
# Arc:   7.75y
# First observation: 2006/01/31
#  Last observation: 2013/10/30
Preliminary a, adot, b, bdot, g, gdot:
  -0.001509   0.021342   0.000510  -0.011788   0.025422   0.000000
# Chi-squared of fit:    11.90 DOF:   22 RMS:  0.16
# Min/Max residuals:    -0.25    0.36
# Exact a, adot, b, bdot, g, gdot:
  1.340629E-05  2.002475E-02 -7.825196E-06 -1.105139E-02  2.337582E-02 -5.216237E-03
# Covariance matrix:
  4.6236E-13 -1.6330E-13 -6.1677E-14  6.6665E-14 -2.0659E-13 -7.1018E-13
 -1.6330E-13  1.8169E-13  6.3357E-14 -8.5992E-14  1.0367E-14  8.9315E-13
 -6.1677E-14  6.3357E-14  3.0048E-13 -7.3745E-14  3.6709E-14  3.4135E-13
  6.6665E-14 -8.5992E-14 -7.3745E-14  5.2817E-14 -1.6300E-14 -4.5043E-13
 -2.0659E-13  1.0367E-14  3.6709E-14 -1.6300E-14  3.9241E-13  2.0424E-13
 -7.1018E-13  8.9315E-13  3.4135E-13 -4.5043E-13  2.0424E-13  4.6918E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -9.634322   59.301275   -0.933855   -0.052106   -0.307658  2453766.697730
# Heliocentric elements and errors
Epoch:              2453760.5000  =  2006/01/25
Mean Anomaly:          306.91225 +/-     0.015
Argument of Peri:      276.66851 +/-     0.024
Long of Asc Node:      223.62203 +/-     0.000
Inclination:            30.03654 +/-     0.000
Eccentricity:         0.22658308 +/-    0.0001
Semi-Major Axis:     47.69112951 +/-    0.0062
Time of Perihelion: 2471500.2158 +/-       3.7
Perihelion:          36.88512647 +/-    0.0066
Aphelion:            58.49713255 +/-    0.0089
Period (y)              329.3553 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           20.88379633 +/-    0.0006
Ecliptic Y           37.00843399 +/-    0.0010
Ecliptic Z           -7.15983919 +/-    0.0002
Ecliptic XDOT        -0.00243181 +/-    0.0000
Ecliptic YDOT         0.00048697 +/-    0.0000
Ecliptic ZDOT        -0.00117388 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   43.09315993 +/-    0.0009
Geocenter to KBO     42.77925192 +/-    0.0011
# Hcoef:  5.67

The following table shows the complete astrometric record for 12XR157. 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 (12XR157) followed by the observatory code and reference code for the source of the astrometry.

2006 01  31.196976 03 56 48.155  +10 34 59.04  21.3R 12XR157   645  C~12zr      
2006 01  31.197805 03 56 48.149  +10 34 58.96        12XR157   645  C~12zr      
2006 01  31.200293 03 56 48.154  +10 34 59.10  21.1R 12XR157   645  C~12zr      
2007 11  15.541838 04 11 57.901  +10 00 15.26  21.7R 12XR157   568  C~12zr      
2007 11  15.605510 04 11 57.594  +10 00 13.82  21.7R 12XR157   568  C~12zr      
2007 11  16.541586 04 11 53.143  +09 59 53.19  21.6R 12XR157   568  C~12zr      
2007 11  16.617639 04 11 52.782  +09 59 51.52  22.0R 12XR157   568  C~12zr      
2012 12  11.11458  04 36 38.110  +07 42 43.80        12XR157   807  C~12zr      
2012 12  11.16323  04 36 37.895  +07 42 43.11  22.0r 12XR157   807  C~12zr      
2012 12  11.21286  04 36 37.634  +07 42 42.67        12XR157   807  C~12zr      
2013 03  10.06119  04 33 21.643  +07 49 40.90        12XR157   304  C~12zr      
2013 03  11.05824  04 33 23.471  +07 49 59.57        12XR157   304  C~12zr      
2013 10  29.26597  04 45 28.292  +07 29 56.85  22.0r 12XR157   304  C~12zr      
2013 10  29.28980  04 45 28.198  +07 29 56.23        12XR157   304  C~12zr      
2013 10  30.33490  04 45 24.196  +07 29 28.62        12XR157   304  C~12zs      

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     0.03       0.00     0.07
  2   0.0000     -0.10    -0.06      -0.06     0.01
  3   0.0000     -0.00     0.08       0.06     0.11
  4   1.7888  12753.25     0.01   -4743.49    -0.14
  5   1.7889  12748.50    -0.01   -4744.01    -0.15
  6   1.7915  12679.72    -0.10   -4751.39    -0.03
  7   1.7917  12674.14    -0.02   -4751.99    -0.03
  8   6.8608  33093.76    -0.06  -17129.76     0.25
  9   6.8610  33090.40     0.35  -17129.85     0.12
 10   6.8611  33086.39     0.19  -17129.55     0.36
 11   7.1044  30216.22    -0.25  -16158.10    -0.02
 12   7.1071  30246.98 (   0.80) -16144.61 (   0.38)
 13   7.7428  41010.99    -0.19  -19388.84    -0.16
 14   7.7429  41009.44    -0.20  -19389.20    -0.14
 15   7.7458  40943.41     0.21  -19405.93    -0.25

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.

12XR157    quality flag:3

Type:           2:1E      2:1E      2:1E

axisobj        48.144    48.163    48.126
ecceobj         0.227     0.227     0.226
incobj         29.874    29.873    29.874
qmin           35.425    35.452    35.413
qmax           60.625    60.672    60.662
amean          47.796    47.796    47.797
amin           47.346    47.346    47.350
amax           48.332    48.338    48.297
emean           0.193     0.189     0.192
emin            0.124     0.120     0.132
emax            0.257     0.257     0.257
imean          31.251    31.328    31.274
imin           30.124    30.133    30.123
imax           32.358    32.420    32.334
excite_mean     0.555     0.554     0.555
fracstop        1.000     1.000     1.000
cjmean          2.742     2.742     2.742

libcent 0        74.6      75.0      73.6
libamp  0        26.5      33.8      22.1
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       177.5     173.0     179.2
kozaiamp        180.0     180.0     180.0