Orbit Fit and Astrometric record for 10XZ78

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: 10XZ78    
# Created Mon Oct 23 01:37:56 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   23 observations of   24
# Arc:   2.39y
# First observation: 2010/11/13
#  Last observation: 2013/04/03
# Chi-squared of fit:    51.38 DOF:   40 RMS:  0.26
# Min/Max residuals:    -0.34    0.75
# Exact a, adot, b, bdot, g, gdot:
  3.591372E-05  4.689692E-01 -2.886286E-05 -3.728793E-01  2.053537E-01 -5.490960E-02
# Covariance matrix:
  2.1073E-13 -1.7834E-13 -3.1575E-14  2.4818E-13  2.7401E-13 -3.0233E-13
 -1.7834E-13  3.1423E-13  6.3265E-14 -3.5873E-13 -2.0198E-13  3.3427E-13
 -3.1575E-14  6.3265E-14  9.2529E-14 -1.2503E-13 -4.5658E-14  7.7249E-14
  2.4818E-13 -3.5873E-13 -1.2503E-13  5.9179E-13  4.4599E-13 -5.8224E-13
  2.7401E-13 -2.0198E-13 -4.5658E-14  4.4599E-13  6.1446E-13 -6.0790E-13
 -3.0233E-13  3.3427E-13  7.7249E-14 -5.8224E-13 -6.0790E-13  6.9078E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.775066   81.253710    0.498794   -0.056136   -0.850775  2455513.849866
# Heliocentric elements and errors
Epoch:              2455514.5000  =  2010/11/14
Mean Anomaly:          336.51683 +/-     0.369
Argument of Peri:      228.37006 +/-     0.000
Long of Asc Node:      252.29408 +/-     0.000
Inclination:            39.24443 +/-     0.000
Eccentricity:         0.29533120 +/-    0.0001
Semi-Major Axis:      7.64319259 +/-    0.0001
Time of Perihelion: 2456017.9599 +/-       7.9
Perihelion:           5.38591935 +/-    0.0007
Aphelion:             9.90046584 +/-    0.0007
Period (y)               21.1310 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            1.36553975 +/-    0.0000
Ecliptic Y            5.56844355 +/-    0.0001
Ecliptic Z           -0.32077317 +/-    0.0000
Ecliptic XDOT        -0.00634091 +/-    0.0000
Ecliptic YDOT        -0.00008843 +/-    0.0000
Ecliptic ZDOT        -0.00491238 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    5.74243609 +/-    0.0001
Geocenter to KBO      4.86970108 +/-    0.0001
# Hcoef: 12.47

The following table shows the complete astrometric record for 10XZ78. 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 (10XZ78) followed by the observatory code and reference code for the source of the astrometry.

2010 11  13.34910  05 22 58.55   +19 23 01.1   20.2V 10XZ78    691  C~0X22      
2010 11  13.36680  05 22 58.07   +19 22 56.6   20.5V 10XZ78    691  C~0X22      
2010 11  13.38449  05 22 57.63   +19 22 51.9   20.4V 10XZ78    691  C~0X22      
2010 12  04.34980  05 12 36.10   +17 50 42.9   20.2V 10XZ78    G96  C~0QlH      
2010 12  04.35734  05 12 35.85   +17 50 40.9   20.0V 10XZ78    G96  C~0QlH      
2010 12  04.36497  05 12 35.60   +17 50 38.8   19.9V 10XZ78    G96  C~0QlH      
2010 12  04.37250  05 12 35.35   +17 50 36.8   20.0V 10XZ78    G96  C~0QlH      
2010 12  14.24631  05 07 11.20   +17 07 32.7   19.7V 10XZ78    G96  C~0QlH      
2010 12  14.25142  05 07 11.02   +17 07 31.2   19.6V 10XZ78    G96  C~0QlH      
2010 12  14.25667  05 07 10.84   +17 07 30.0   19.5V 10XZ78    G96  C~0QlH      
2010 12  14.28351  05 07 09.94   +17 07 22.8   19.9V 10XZ78    G96  C~0QlH      
2010 12  14.29101  05 07 09.69   +17 07 21.0   19.6V 10XZ78    G96  C~0QlH      
2010 12  14.29843  05 07 09.44   +17 07 18.8   19.8V 10XZ78    G96  C~0QlH      
2010 12  14.30593  05 07 09.15   +17 07 17.4   19.7V 10XZ78    G96  C~0QlH      
2011 01  08.23208  04 54 58.14   +15 29 08.9   19.6V 10XZ78    G96  C~0X22      
2011 01  08.23888  04 54 58.03   +15 29 07.9   20.2V 10XZ78    G96  C~0X22      
2011 01  08.25289  04 54 57.63   +15 29 05.0   20.4V 10XZ78    G96  C~0X22      
2011 12  06.42166  07 12 02.41   -04 41 43.2   19.7R 10XZ78    F65  C~0bz0      
2011 12  06.42755  07 12 02.27   -04 41 45.2   19.7R 10XZ78    F65  C~0bz0      
2011 12  06.43342  07 12 02.13   -04 41 47.2   19.8R 10XZ78    F65  C~0bz0      
2011 12  24.40885  07 03 37.33   -06 10 40.5   19.6R 10XZ78    688  C~0bz0      
2011 12  24.43228  07 03 36.62   -06 10 45.6         10XZ78    688  C~0bz0      
2013 04  03.52065  08 32 32.49   -26 10 54.0   19.3R 10XZ78    E10  C~0qTC      
2013 04  03.53585  08 32 32.47   -26 10 49.0   19.4R 10XZ78    E10  C~0qTC      

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 (  13.29)
  2   0.0000      0.00     0.04       0.00     0.29
  3   0.0001      0.00     0.34       0.00     0.15
  4   0.0575      0.00     0.56       0.00     0.25
  5   0.0575      0.00     0.57       0.00     0.25
  6   0.0575      0.00     0.62       0.00     0.18
  7   0.0576      0.00     0.63       0.00     0.18
  8   0.0846      0.00     0.63       0.00     0.29
  9   0.0846      0.00     0.49       0.00     0.11
 10   0.0846      0.00     0.42       0.00     0.25
 11   0.0847      0.00     0.36       0.00    -0.05
 12   0.0847      0.00     0.37       0.00     0.08
 13   0.0847      0.00     0.34       0.00    -0.21
 14   0.0848      0.00    -0.25       0.00     0.33
 15   0.1530      0.00    -0.11       0.00     0.11
 16   0.1530      0.00     0.75       0.00     0.53
 17   0.1531      0.00    -0.07       0.00     0.56
 18   1.0625      0.00     0.26       0.00     0.27
 19   1.0625      0.00     0.31       0.00     0.31
 20   1.0625      0.00     0.35       0.00     0.34
 21   1.1117      0.00    -0.14       0.00    -0.34
 22   1.1118      0.00     0.49       0.00     0.24
 23   2.3879      0.00     0.27       0.00    -0.22
 24   2.3879      0.00    -0.12       0.00    -0.07

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.

10XZ78    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj         7.621     7.621     7.621
ecceobj         0.294     0.294     0.294
incobj         39.294    39.294    39.294
qmin            4.285     5.380     4.900
qmax           11.186    10.272    10.484
amean           7.604     7.668     7.668
amin            7.200     7.540     7.540
amax            7.918     7.842     7.871
emean           0.355     0.296     0.316
emin            0.283     0.283     0.283
emax            0.445     0.310     0.361
imean          39.429    40.353    39.978
imin           37.761    39.858    39.330
imax           40.608    40.608    40.608
excite_mean     0.730     0.712     0.716
fracstop        0.001     0.000     0.001
cjmean          4.693     4.662     4.666

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       236.5     225.7     227.0
kozaiamp         12.4       3.3       4.7