Orbit Fit and Astrometric record for 11MM4

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: 11MM4     
# Created Tue Oct 24 01:37:57 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting  109 observations of  111
# Arc:   2.93y
# First observation: 2011/06/24
#  Last observation: 2014/05/30
# Chi-squared of fit:   988.03 DOF:  212 RMS:  0.53
# Min/Max residuals:    -1.35    1.94
# Exact a, adot, b, bdot, g, gdot:
 -1.750796E-05 -8.115703E-02  2.263177E-05  1.063313E-01  7.428218E-02  5.930173E-02
# Covariance matrix:
  1.8950E-14 -2.2604E-14 -5.2153E-16  1.9210E-14  1.5970E-14  7.1325E-14
 -2.2604E-14  1.9220E-13  8.0167E-15 -2.2902E-13 -1.5195E-13 -8.4451E-13
 -5.2153E-16  8.0167E-15  1.8602E-14 -2.0461E-14  3.6991E-15 -4.7729E-14
  1.9210E-14 -2.2902E-13 -2.0461E-14  3.2191E-13  1.4741E-13  1.1279E-12
  1.5970E-14 -1.5195E-13  3.6991E-15  1.4741E-13  2.8708E-13  5.7214E-13
  7.1325E-14 -8.4451E-13 -4.7729E-14  1.1279E-12  5.7214E-13  4.1325E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   73.751151 -113.196088   -0.435188    0.882058   -0.257146  2455736.871636
# Heliocentric elements and errors
Epoch:              2455736.5000  =  2011/06/24
Mean Anomaly:           23.66121 +/-     0.002
Argument of Peri:        7.47563 +/-     0.002
Long of Asc Node:      282.54727 +/-     0.000
Inclination:           100.43415 +/-     0.000
Eccentricity:         0.47576236 +/-    0.0000
Semi-Major Axis:     21.30343526 +/-    0.0010
Time of Perihelion: 2453375.9821 +/-       0.2
Perihelion:          11.16806254 +/-    0.0007
Aphelion:            31.43880798 +/-    0.0015
Period (y)               98.3292 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           -1.44177286 +/-    0.0000
Ecliptic Y           -4.47756675 +/-    0.0000
Ecliptic Z           12.92457850 +/-    0.0001
Ecliptic XDOT        -0.00151085 +/-    0.0000
Ecliptic YDOT         0.00408019 +/-    0.0000
Ecliptic ZDOT         0.00319505 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   13.75384171 +/-    0.0001
Geocenter to KBO     13.46204938 +/-    0.0001
# Hcoef:  9.37

The following table shows the complete astrometric record for 11MM4. 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 (11MM4) followed by the observatory code and reference code for the source of the astrometry.

2011 06  24.37087  17 19 32.671  +51 07 33.97  21.1r 11MM4     F51  C~0Wjg      
2011 06  24.37147  17 19 32.643  +51 07 33.81  21.0r 11MM4     F51  C~0Wjg      
2011 06  24.38094  17 19 32.353  +51 07 34.15  21.3r 11MM4     F51  C~0Wjg      
2011 06  24.38154  17 19 32.325  +51 07 34.42  21.2r 11MM4     F51  C~0Wjg      
2011 06  24.39220  17 19 32.011  +51 07 34.36  20.8i 11MM4     F51  C~0Wjg      
2011 06  24.39286  17 19 31.995  +51 07 34.46  20.8i 11MM4     F51  C~0Wjg      
2011 06  24.40283  17 19 31.681  +51 07 34.75  20.9i 11MM4     F51  C~0Wjg      
2011 06  24.40349  17 19 31.667  +51 07 34.82  20.8i 11MM4     F51  C~0Wjg      
2011 06  25.23046  17 19 06.94   +51 07 54.2   22.2  11MM4     926  C~0Wjg      
2011 06  25.23351  17 19 06.88   +51 07 54.4         11MM4     926  C~0Wjg      
2011 06  25.23654  17 19 06.76   +51 07 54.5         11MM4     926  C~0Wjg      
2011 06  25.23957  17 19 06.68   +51 07 54.0         11MM4     926  C~0Wjg      
2011 06  25.24262  17 19 06.61   +51 07 53.9         11MM4     926  C~0Wjg      
2011 06  25.24566  17 19 06.51   +51 07 54.5         11MM4     926  C~0Wjg      
2011 06  25.24870  17 19 06.35   +51 07 55.0         11MM4     926  C~0Wjg      
2011 06  25.25176  17 19 06.24   +51 07 54.4         11MM4     926  C~0Wjg      
2011 06  25.25478  17 19 06.07   +51 07 54.0         11MM4     926  C~0Wjg      
2011 06  25.25784  17 19 06.08   +51 07 54.0         11MM4     926  C~0Wjg      
2011 06  25.262645 17 19 05.89   +51 07 54.3   21.5V 11MM4     H21  C~0Wjg      
2011 06  25.275216 17 19 05.47   +51 07 54.3   21.3V 11MM4     H21  C~0Wjg      
2011 06  25.287819 17 19 05.08   +51 07 54.8   21.4V 11MM4     H21  C~0Wjg      
2011 06  25.308220 17 19 04.50   +51 07 55.3   20.7V 11MM4     H21  C~0Wjg      
2011 06  25.35824  17 19 02.99   +51 07 56.3   20.9R 11MM4     H01  C~0Wjg      
2011 06  25.36480  17 19 02.79   +51 07 56.4   20.6R 11MM4     H01  C~0Wjg      
2011 06  25.37203  17 19 02.58   +51 07 56.6   20.7R 11MM4     H01  C~0Wjg      
2011 06  25.38284  17 19 02.24   +51 07 56.7   20.5R 11MM4     H01  C~0Wjg      
2011 06  26.29333  17 18 35.05   +51 08 13.4   20.8R 11MM4     H01  C~0Wjg      
2011 06  26.29970  17 18 34.85   +51 08 13.4   20.5R 11MM4     H01  C~0Wjg      
2011 06  26.30752  17 18 34.62   +51 08 13.6   20.7R 11MM4     H01  C~0Wjg      
2011 06  26.31511  17 18 34.38   +51 08 13.7   20.5R 11MM4     H01  C~0Wjg      
2011 06  26.56109  17 18 27.100  +51 08 16.73  20.7R 11MM4     F65  C~0Wjg      
2011 06  26.56385  17 18 26.950  +51 08 16.64  20.8R 11MM4     F65  C~0Wjg      
2011 06  26.56662  17 18 26.914  +51 08 16.80  20.3R 11MM4     F65  C~0Wjg      
2011 06  27.95131  17 17 45.84   +51 08 32.0         11MM4     B01  C~0WrS      
2011 06  27.96631  17 17 45.30   +51 08 32.2   21.3  11MM4     B01  C~0WrS      
2011 06  27.97620  17 17 44.97   +51 08 32.8   20.8  11MM4     B01  C~0Wjg      
2011 06  27.98261  17 17 44.78   +51 08 34.1   20.7  11MM4     B01  C~0Wjg      
2011 06  27.98902  17 17 44.56   +51 08 32.8   21.0  11MM4     B01  C~0Wjg      
2011 06  27.99544  17 17 44.42   +51 08 33.0   21.6  11MM4     B01  C~0Wjh      
2011 06  28.00185  17 17 44.29   +51 08 33.9   21.3  11MM4     B01  C~0Wjh      
2011 06  28.00826  17 17 44.12   +51 08 33.1         11MM4     B01  C~0Wjh      
2011 06  28.239694 17 17 37.20   +51 08 35.2   21.3V 11MM4     H21  C~0Wjh      
2011 06  28.250233 17 17 36.89   +51 08 35.5   21.3V 11MM4     H21  C~0Wjh      
2011 06  28.260490 17 17 36.52   +51 08 35.6   20.5R 11MM4     H36  C~0Wjh      
2011 06  28.260767 17 17 36.59   +51 08 35.6   21.5V 11MM4     H21  C~0Wjh      
2011 06  28.272405 17 17 36.23   +51 08 35.7   20.7R 11MM4     H36  C~0Wjh      
2011 06  28.296261 17 17 35.52   +51 08 35.8   20.7R 11MM4     H36  C~0Wjh      
2011 06  28.378627 17 17 33.128  +51 08 36.75  20.2R 11MM4     568  C~0Wjh      
2011 06  28.380924 17 17 33.058  +51 08 36.72  20.2R 11MM4     568  C~0Wjh      
2011 06  28.383222 17 17 32.987  +51 08 36.73  20.3R 11MM4     568  C~0Wjh      
2011 06  28.385523 17 17 32.919  +51 08 36.77  20.3R 11MM4     568  C~0Wjh      
2011 06  28.387818 17 17 32.850  +51 08 36.79  20.1R 11MM4     568  C~0Wjh      
2011 06  29.250722 17 17 07.43   +51 08 40.0   20.7R 11MM4     H36  C~0Wjh      
2011 06  29.261972 17 17 07.06   +51 08 39.8   20.8R 11MM4     H36  C~0Wjh      
2011 06  29.97409  17 16 46.17   +51 08 40.6         11MM4     J95  C~0Wjh      
2011 06  30.00005  17 16 45.37   +51 08 40.4   20.6R 11MM4     J95  C~0Wjh      
2011 06  30.17093  17 16 40.46   +51 08 40.4         11MM4     H06  C~0Wjh      
2011 06  30.17470  17 16 40.26   +51 08 40.4   20.6R 11MM4     H06  C~0Wjh      
2011 06  30.21401  17 16 39.12   +51 08 40.7   21.1R 11MM4     H01  C~0Wjh      
2011 06  30.22508  17 16 38.79   +51 08 40.8   20.7R 11MM4     H01  C~0Wjh      
2011 06  30.225843 17 16 38.75   +51 08 40.2   21.5V 11MM4     H21  C~0Wjh      
2011 06  30.238376 17 16 38.36   +51 08 40.1   21.6V 11MM4     H21  C~0Wjh      
2011 06  30.24465  17 16 38.21   +51 08 40.6   20.7R 11MM4     H01  C~0Wjh      
2011 06  30.251141 17 16 37.99   +51 08 40.1   21.6V 11MM4     H21  C~0Wjh      
2011 06  30.44945  17 16 32.19   +51 08 40.3   20.8R 11MM4     F65  C~0Wjh      
2011 06  30.45203  17 16 32.12   +51 08 40.3   20.9R 11MM4     F65  C~0Wjh      
2011 06  30.45462  17 16 32.04   +51 08 40.2   20.7R 11MM4     F65  C~0Wjh      
2011 07  01.227443 17 16 09.60   +51 08 34.9   20.8R 11MM4     H36  C~0Wjh      
2011 07  01.257549 17 16 08.73   +51 08 33.9   21.3R 11MM4     H36  C~0Wjh      
2011 07  01.34282  17 16 06.15   +51 08 35.6   21.5R 11MM4     695  C~0Wjh      
2011 07  01.38002  17 16 05.06   +51 08 35.3   21.4R 11MM4     695  C~0Wjh      
2011 07  01.40483  17 16 04.38   +51 08 35.4   20.7R 11MM4     F65  C~0Wjh      
2011 07  01.41134  17 16 04.18   +51 08 35.3   20.7R 11MM4     F65  C~0Wjh      
2011 07  01.41851  17 16 03.95   +51 08 35.3   20.9R 11MM4     F65  C~0Wjh      
2011 07  01.42973  17 16 03.61   +51 08 35.0   20.1V 11MM4     F65  C~0Wjh      
2011 07  03.00954  17 15 17.92   +51 08 17.0   20.6R 11MM4     104  C~0WrS      
2011 07  03.02226  17 15 17.59   +51 08 17.1   20.4R 11MM4     104  C~0WrS      
2011 07  25.25804  17 05 41.44   +50 46 15.0         11MM4     H06  C~0X7U      
2011 07  25.28711  17 05 40.82   +50 46 11.5   20.7R 11MM4     H06  C~0X7U      
2011 07  28.17351  17 04 37.68   +50 41 08.5   20.6R 11MM4     688  C~0XFe      
2011 07  28.21079  17 04 36.86   +50 41 04.5         11MM4     688  C~0XFe      
2012 03  28.44557  17 36 25.45   +53 22 12.8   20.7V 11MM4     H06  C~0gf0      
2012 03  28.44925  17 36 25.37   +53 22 14.6   20.9V 11MM4     H06  C~0gf0      
2012 05  11.88012  17 21 50.90   +56 35 06.3   20.5R 11MM4     204  C~0gf0      
2012 05  11.90862  17 21 50.16   +56 35 11.8         11MM4     204  C~0gf0      
2012 05  14.331860 17 20 38.38   +56 42 42.2   21.4V 11MM4     H21  C~0gf0      
2012 05  14.346145 17 20 38.02   +56 42 45.2   21.3V 11MM4     H21  C~0gf0      
2012 05  14.361190 17 20 37.66   +56 42 48.2   21.4V 11MM4     H21  C~0gf0      
2012 05  15.40198  17 20 06.29   +56 45 54.4   20.7R 11MM4     F65  C~0gf0      
2012 05  15.40883  17 20 06.05   +56 45 55.7         11MM4     F65  C~0gf0      
2012 07  24.18658  16 43 44.84   +57 09 47.9   20.7R 11MM4     H36  C~0hsD      
2012 07  24.20962  16 43 44.35   +57 09 45.1   20.4R 11MM4     H36  C~0hsD      
2012 07  24.23280  16 43 43.89   +57 09 41.8   20.7R 11MM4     H36  C~0hsD      
2014 05  30.43800  16 15 20.80   +68 13 03.2   21.1R 11MM4     695  C~1LLO      
2014 05  30.44025  16 15 20.69   +68 13 03.2         11MM4     695  C~1LLO      
2014 05  30.44177  16 15 20.60   +68 13 03.3         11MM4     695  C~1LLO      
2014 05  30.44376  16 15 20.53   +68 13 03.3         11MM4     695  C~1LLO      
2014 05  30.44524  16 15 20.46   +68 13 03.3         11MM4     695  C~1LLO      
2014 05  30.44690  16 15 20.39   +68 13 03.4         11MM4     695  C~1LLO      
2014 05  30.44840  16 15 20.30   +68 13 03.4         11MM4     695  C~1LLO      
2014 05  30.45009  16 15 20.25   +68 13 03.6         11MM4     695  C~1LLO      
2014 05  30.45172  16 15 20.13   +68 13 03.6         11MM4     695  C~1LLO      
2014 05  30.45317  16 15 20.08   +68 13 03.7         11MM4     695  C~1LLO      
2014 05  30.45468  16 15 20.03   +68 13 03.8         11MM4     695  C~1LLO      
2014 05  30.45611  16 15 19.96   +68 13 03.6         11MM4     695  C~1LLO      
2014 05  30.45772  16 15 19.88   +68 13 03.7         11MM4     695  C~1LLO      
2014 05  30.45916  16 15 19.82   +68 13 03.8         11MM4     695  C~1LLO      
2014 05  30.46061  16 15 19.75   +68 13 03.9         11MM4     695  C~1LLO      
2014 05  30.46207  16 15 19.67   +68 13 03.8         11MM4     695  C~1LLO      
2014 05  30.46356  16 15 19.60   +68 13 04.0         11MM4     695  C~1LLO      
2014 05  30.46507  16 15 19.55   +68 13 04.1         11MM4     695  C~1LLO      

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 (  -1.90)      0.00 (   1.37)
  2   0.0000      0.00     0.28       0.00    -0.21
  3   0.0000      0.00     0.25       0.00    -0.11
  4   0.0000      0.00     0.11       0.00     0.15
  5   0.0001      0.00     0.27       0.00    -0.18
  6   0.0001      0.00     0.33       0.00    -0.09
  7   0.0001      0.00     0.18       0.00    -0.05
  8   0.0001      0.00     0.27       0.00     0.00
  9   0.0024      0.00     1.36       0.00     0.64
 10   0.0024      0.00     1.84       0.00     0.77
 11   0.0024      0.00     1.42       0.00     0.81
 12   0.0024      0.00     1.60       0.00     0.24
 13   0.0024      0.00     1.94       0.00     0.08
 14   0.0024      0.00     1.82       0.00     0.61
 15   0.0024      0.00     0.80       0.00     1.05
 16   0.0024      0.00     0.55       0.00     0.38
 17   0.0024      0.00    -0.63       0.00    -0.08
 18   0.0024      0.00     0.91       0.00    -0.15
 19   0.0024      0.00     0.57       0.00     0.16
 20   0.0025      0.00    -0.02       0.00    -0.08
 21   0.0025      0.00    -0.15       0.00     0.17
 22   0.0026      0.00     0.40       0.00     0.28
 23   0.0027      0.00     0.25       0.00     0.19
 24   0.0027      0.00     0.22       0.00     0.17
 25   0.0027      0.00     0.35       0.00     0.24
 26   0.0028      0.00     0.15       0.00     0.14
 27   0.0053      0.00     0.17       0.00     0.27
 28   0.0053      0.00     0.05       0.00     0.17
 29   0.0053      0.00     0.14       0.00     0.25
 30   0.0053      0.00    -0.02       0.00     0.24
 31   0.0060      0.00     1.35       0.00    -0.42
 32   0.0060      0.00     0.35       0.00    -0.54
 33   0.0060      0.00     1.05       0.00    -0.42
 34   0.0098      0.00     1.38       0.00    -1.11
 35   0.0098      0.00     0.01       0.00    -1.03
 36   0.0099      0.00    -0.51       0.00    -0.51
 37   0.0099      0.00    -0.48       0.00     0.74
 38   0.0099      0.00    -0.91       0.00    -0.61
 39   0.0099      0.00    -0.13       0.00    -0.45
 40   0.0099      0.00     0.79       0.00     0.40
 41   0.0100      0.00     1.11       0.00    -0.45
 42   0.0106      0.00    -0.04       0.00    -0.24
 43   0.0106      0.00     0.03       0.00    -0.01
 44   0.0106      0.00    -1.02       0.00     0.01
 45   0.0106      0.00     0.26       0.00     0.03
 46   0.0107      0.00    -0.02       0.00     0.03
 47   0.0107      0.00     0.02       0.00    -0.01
 48   0.0110      0.00     0.26       0.00     0.16
 49   0.0110      0.00     0.24       0.00     0.11
 50   0.0110      0.00     0.21       0.00     0.11
 51   0.0110      0.00     0.22       0.00     0.13
 52   0.0110      0.00     0.22       0.00     0.14
 53   0.0134      0.00     0.87       0.00    -0.23
 54   0.0134      0.00     0.34       0.00    -0.45
 55   0.0153      0.00     0.62       0.00    -0.06
 56   0.0154      0.00     0.14       0.00    -0.22
 57   0.0159      0.00     1.03       0.00    -0.17
 58   0.0159      0.00    -0.29       0.00    -0.17
 59   0.0160      0.00     0.06       0.00     0.19
 60   0.0160      0.00     0.03       0.00     0.31
 61   0.0160      0.00     0.04       0.00    -0.23
 62   0.0161      0.00    -0.24       0.00    -0.29
 63   0.0161      0.00     0.03       0.00     0.14
 64   0.0161      0.00    -0.13       0.00    -0.26
 65   0.0166      0.00     0.01       0.00     0.27
 66   0.0166      0.00     0.11       0.00     0.28
 67   0.0167      0.00     0.06       0.00     0.19
 68   0.0188      0.00     1.30       0.00    -1.28
 69   0.0189      0.00 (   1.54)      0.00 (  -2.07)
 70   0.0191      0.00     0.29       0.00     0.18
 71   0.0192      0.00     0.33       0.00     0.21
 72   0.0193      0.00     0.48       0.00     0.25
 73   0.0193      0.00     0.36       0.00     0.21
 74   0.0193      0.00     0.08       0.00     0.26
 75   0.0193      0.00    -0.06       0.00     0.06
 76   0.0237      0.00     0.22       0.00    -0.39
 77   0.0237      0.00     0.81       0.00    -0.09
 78   0.0846      0.00     0.25       0.00     0.79
 79   0.0846      0.00     0.84       0.00     0.25
 80   0.0925      0.00    -0.04       0.00     0.03
 81   0.0926      0.00    -0.22       0.00     0.12
 82   0.7613      0.00     0.81       0.00    -0.85
 83   0.7613      0.00     0.12       0.00    -0.18
 84   0.8830      0.00    -1.35       0.00    -0.47
 85   0.8831      0.00     0.09       0.00    -0.47
 86   0.8897      0.00    -0.96       0.00    -0.99
 87   0.8897      0.00     0.13       0.00    -0.57
 88   0.8898      0.00     1.58       0.00    -0.29
 89   0.8926      0.00     0.47       0.00    -0.16
 90   0.8926      0.00     0.02       0.00    -0.08
 91   1.0837      0.00    -0.81       0.00     0.92
 92   1.0837      0.00    -0.04       0.00     0.88
 93   1.0838      0.00     1.23       0.00     0.37
 94   2.9324      0.00     0.86       0.00     0.06
 95   2.9324      0.00     0.75       0.00    -0.01
 96   2.9324      0.00     0.44       0.00     0.04
 97   2.9324      0.00     0.75       0.00    -0.03
 98   2.9324      0.00     0.71       0.00    -0.08
 99   2.9324      0.00     0.80       0.00    -0.03
100   2.9325      0.00     0.47       0.00    -0.08
101   2.9325      0.00     0.88       0.00     0.06
102   2.9325      0.00     0.19       0.00     0.01
103   2.9325      0.00     0.43       0.00     0.06
104   2.9325      0.00     0.71       0.00     0.11
105   2.9325      0.00     0.64       0.00    -0.14
106   2.9325      0.00     0.54       0.00    -0.09
107   2.9325      0.00     0.62       0.00    -0.04
108   2.9325      0.00     0.56       0.00     0.02
109   2.9325      0.00     0.36       0.00    -0.13
110   2.9325      0.00     0.33       0.00     0.02
111   2.9325      0.00     0.61       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.

11MM4    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        21.170    21.170    21.170
ecceobj         0.474     0.474     0.474
incobj        100.480   100.480   100.480
qmin           10.982    11.108    11.132
qmax           31.985    31.764    32.011
amean          21.314    21.338    21.432
amin           21.121    21.127    21.122
amax           21.530    21.559    21.675
emean           0.475     0.472     0.473
emin            0.458     0.461     0.467
emax            0.486     0.479     0.479
imean         102.050   101.881   101.847
imin          101.589   101.449   101.504
imax          102.512   102.154   102.280
excite_mean     1.087     1.086     1.087
fracstop        0.015     0.010     0.012
cjmean          1.099     1.102     1.096

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       250.1     221.6     195.8
kozaiamp        179.9     179.5     180.0