Orbit Fit and Astrometric record for 10ES65

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: 10ES65    
# Created Wed Oct 18 01:37:49 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   27 observations of   28
# Arc:  11.33y
# First observation: 2002/12/31
#  Last observation: 2014/04/29
# Chi-squared of fit:   327.66 DOF:   48 RMS:  0.62
# Min/Max residuals:    -1.69    1.18
# Exact a, adot, b, bdot, g, gdot:
  3.024951E-05  1.538769E-01  2.895424E-06 -2.693150E-02  8.415161E-02 -7.857390E-02
# Covariance matrix:
  5.0620E-13 -1.3057E-10 -3.4918E-15  2.3542E-11  6.9039E-12  4.7601E-11
 -1.3057E-10  1.0293E-06  2.7538E-11 -1.8567E-07 -5.4239E-08 -3.7546E-07
 -3.4918E-15  2.7538E-11  4.9038E-13 -5.0351E-12 -1.4537E-12 -1.0045E-11
  2.3542E-11 -1.8567E-07 -5.0351E-12  3.3504E-08  9.7892E-09  6.7727E-08
  6.9039E-12 -5.4239E-08 -1.4537E-12  9.7892E-09  3.1634E-09  1.9749E-08
  4.7601E-11 -3.7546E-07 -1.0045E-11  6.7727E-08  1.9749E-08  1.3696E-07
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.268895   75.616742   -0.392907    0.051093   -0.894632  2452639.737143
# Heliocentric elements and errors
Epoch:              2452640.5000  =  2003/01/01
Mean Anomaly:          338.32579 +/-     0.011
Argument of Peri:      237.01966 +/-     0.005
Long of Asc Node:      274.16757 +/-     0.006
Inclination:            10.41785 +/-     0.006
Eccentricity:         0.55770417 +/-    0.0000
Semi-Major Axis:     21.40488208 +/-    0.0001
Time of Perihelion: 2454818.2524 +/-       1.1
Perihelion:           9.46729003 +/-    0.0001
Aphelion:            33.34247412 +/-    0.0002
Period (y)               99.0324 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            2.78739133 +/-    0.0003
Ecliptic Y           12.46259066 +/-    0.0000
Ecliptic Z            0.67764397 +/-    0.0001
Ecliptic XDOT        -0.00547813 +/-    0.0000
Ecliptic YDOT        -0.00118424 +/-    0.0000
Ecliptic ZDOT        -0.00102035 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   12.78863124 +/-    0.0003
Geocenter to KBO     11.88353466 +/-    0.0003
# Hcoef: 11.86

The following table shows the complete astrometric record for 10ES65. 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 (10ES65) followed by the observatory code and reference code for the source of the astrometry.

2002 12  31.236400 04 55 58.77   +25 54 45.2   22.9V 10ES65    645  C~1mrV      
2002 12  31.237222 04 55 58.76   +25 54 45.2         10ES65    645  C~1mrV      
2002 12  31.239711 04 55 58.72   +25 54 45.0         10ES65    645  C~1mrV      
2008 01  18.41904  09 15 28.52   +07 41 04.2   21.5V 10ES65    691  C~142i      
2008 01  18.43713  09 15 28.25   +07 41 04.7   21.7V 10ES65    691  C~142i      
2008 01  18.45546  09 15 27.95   +07 41 05.7   21.2V 10ES65    691  C~142i      
2010 03  12.06023  11 04 23.851  -06 15 22.60  20.9R 10ES65    809  C~0F7m      
2010 03  12.14310  11 04 22.540  -06 15 15.22  21.1R 10ES65    809  C~0F7m      
2010 03  13.02728  11 04 08.832  -06 13 52.60        10ES65    809  C~0F7m      
2010 03  13.11259  11 04 07.518  -06 13 44.36  21.5R 10ES65    809  C~0F7m      
2010 03  13.19693  11 04 06.142  -06 13 36.73        10ES65    809  C~0F7m      
2010 03  15.15704  11 03 35.988  -06 10 29.99  21.2R 10ES65    807  C~0F7m      
2010 03  15.19537  11 03 35.377  -06 10 26.37  21.2R 10ES65    807  C~0F7m      
2010 04  03.09787  10 59 10.296  -05 38 17.42  21.3R 10ES65    807  C~0GDb      
2010 04  03.21286  10 59 08.754  -05 38 04.57  21.4R 10ES65    807  C~0GDb      
2010 04  04.14484  10 58 57.542  -05 36 28.68  21.5R 10ES65    807  C~0GDb      
2010 04  04.18564  10 58 57.022  -05 36 24.60  21.3R 10ES65    807  C~0GDb      
2010 06  03.98133  10 56 48.926  -04 29 18.00        10ES65    807  C~0IRj      
2010 06  04.06120  10 56 49.649  -04 29 17.73        10ES65    807  C~0IRj      
2011 03  28.07852  11 59 05.448  -12 28 46.38        10ES65    809  C~142i      
2011 03  28.20237  11 59 03.508  -12 28 32.23  21.6R 10ES65    809  C~142i      
2014 04  28.10984  14 21 53.85   -23 41 15.3   23.5V 10ES65    W84  C~142i      
2014 04  28.11318  14 21 53.79   -23 41 15.0         10ES65    W84  C~142i      
2014 04  28.11980  14 21 53.68   -23 41 14.5         10ES65    W84  C~142i      
2014 04  28.12316  14 21 53.63   -23 41 14.2         10ES65    W84  C~142i      
2014 04  29.10546  14 21 39.37   -23 39 57.5   23.0V 10ES65    W84  C~142i      
2014 04  29.10870  14 21 39.32   -23 39 57.3         10ES65    W84  C~142i      
2014 04  29.11842  14 21 39.17   -23 39 56.6         10ES65    W84  C~142i      

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 (  -0.62)      0.00 (   3.24)
  2   0.0000      0.00     0.08       0.00    -1.59
  3   0.0000      0.00     0.01       0.00    -1.69
  4   5.0491      0.00     0.35       0.00     0.21
  5   5.0491      0.00     0.53       0.00     0.22
  6   5.0492      0.00     0.31       0.00     0.72
  7   7.1946      0.00     0.57       0.00     0.32
  8   7.1948      0.00     0.62       0.00     0.04
  9   7.1972      0.00     0.22       0.00     0.04
 10   7.1975      0.00     0.68       0.00     0.29
 11   7.1977      0.00     0.08       0.00    -0.00
 12   7.2031      0.00     0.56       0.00     0.11
 13   7.2032      0.00     0.42       0.00     0.04
 14   7.2549      0.00     0.53       0.00    -0.28
 15   7.2552      0.00    -0.89       0.00     0.59
 16   7.2578      0.00    -0.06       0.00    -0.43
 17   7.2579      0.00    -0.30       0.00    -0.60
 18   7.4244      0.00    -0.40       0.00     1.18
 19   7.4246      0.00     0.24       0.00     0.87
 20   8.2378      0.00     0.69       0.00    -1.54
 21   8.2381      0.00     0.19       0.00     0.15
 22  11.3234      0.00     0.15       0.00    -0.82
 23  11.3234      0.00    -0.01       0.00    -0.77
 24  11.3234      0.00    -0.19       0.00    -0.78
 25  11.3234      0.00    -0.19       0.00    -0.74
 26  11.3261      0.00     0.01       0.00    -0.74
 27  11.3261      0.00    -0.02       0.00    -0.79
 28  11.3262      0.00    -0.11       0.00    -0.85

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.

10ES65    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        21.305    21.305    21.306
ecceobj         0.554     0.554     0.554
incobj         10.417    10.417    10.417
qmin            9.498     9.498     9.498
qmax           33.112    33.112    33.113
amean          21.305    21.305    21.306
amin           21.305    21.305    21.306
amax           21.305    21.305    21.306
emean           0.554     0.554     0.554
emin            0.554     0.554     0.554
emax            0.554     0.554     0.554
imean          11.958    11.958    11.958
imin           11.958    11.958    11.958
imax           11.958    11.958    11.958
excite_mean     0.592     0.592     0.592
fracstop        0.000     0.000     0.000
cjmean          2.784     2.784     2.784

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       236.9     236.9     236.9
kozaiamp          0.0       0.0       0.0