Orbit Fit and Astrometric record for 12HE85

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: 12HE85    
# Created Mon Oct 23 01:38:11 2017
# Orbit generated from Bernstein formalism
# Fitting   48 observations of   48
# Arc:   4.13y
# First observation: 2012/04/18
#  Last observation: 2016/06/05
Preliminary a, adot, b, bdot, g, gdot:
  -0.000012   0.026481  -0.000001   0.001012   0.025453   0.000000
# Chi-squared of fit:    13.55 DOF:   90 RMS:  0.09
# Min/Max residuals:    -0.21    0.25
# Exact a, adot, b, bdot, g, gdot:
  1.632516E-05  2.607145E-02  5.598790E-07  9.959391E-04  2.511581E-02  8.197062E-04
# Covariance matrix:
  8.2622E-14 -7.3726E-14  8.1380E-16 -2.0510E-15 -1.0155E-14 -5.6483E-13
 -7.3726E-14  4.9624E-13 -9.0145E-15  1.4336E-14  4.5613E-13  4.8023E-12
  8.1380E-16 -9.0145E-15  6.3510E-14 -3.3412E-14 -8.8307E-15 -9.3668E-14
 -2.0510E-15  1.4336E-14 -3.3412E-14  3.3467E-14  1.2609E-14  1.5589E-13
 -1.0155E-14  4.5613E-13 -8.8307E-15  1.2609E-14  5.0563E-13  4.4555E-12
 -5.6483E-13  4.8023E-12 -9.3668E-14  1.5589E-13  4.4555E-12  5.1101E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.054839  -81.154660    0.948983    0.012138   -0.338167  2456035.768316
# Heliocentric elements and errors
Epoch:              2456030.5000  =  2012/04/13
Mean Anomaly:            3.42100 +/-     0.147
Argument of Peri:       38.06946 +/-     0.179
Long of Asc Node:      235.28092 +/-     0.005
Inclination:             3.03020 +/-     0.000
Eccentricity:         0.09574118 +/-    0.0000
Semi-Major Axis:     44.40559967 +/-    0.0028
Time of Perihelion: 2455003.4154 +/-      44.0
Perihelion:          40.15415534 +/-    0.0031
Aphelion:            48.65704399 +/-    0.0036
Period (y)              295.9135 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            5.23612812 +/-    0.0002
Ecliptic Y          -39.79513280 +/-    0.0011
Ecliptic Z            1.42765580 +/-    0.0000
Ecliptic XDOT         0.00281639 +/-    0.0000
Ecliptic YDOT         0.00035630 +/-    0.0000
Ecliptic ZDOT         0.00011180 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.16351371 +/-    0.0011
Geocenter to KBO     39.81555624 +/-    0.0011
# Hcoef:  9.67

The following table shows the complete astrometric record for 12HE85. 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 (12HE85) followed by the observatory code and reference code for the source of the astrometry.

2012 04  18.26755  18 37 55.23   -21 05 37.8         12HE85    268  C~1j9N      
2012 04  18.31485  18 37 55.18   -21 05 37.7         12HE85    268  C~1j9N      
2012 04  18.36265  18 37 55.13   -21 05 37.6         12HE85    268  C~1j9N      
2012 04  18.40586  18 37 55.08   -21 05 37.6         12HE85    268  C~1j9N      
2012 04  19.30535  18 37 54.14   -21 05 35.1         12HE85    268  C~1j9N      
2012 04  19.30696  18 37 54.14   -21 05 35.1         12HE85    268  C~1j9N      
2012 04  19.31725  18 37 54.13   -21 05 35.1         12HE85    268  C~1j9N      
2012 04  19.33912  18 37 54.11   -21 05 35.1         12HE85    268  C~1j9N      
2012 04  19.35214  18 37 54.08   -21 05 35.0         12HE85    268  C~1j9N      
2012 04  19.36183  18 37 54.07   -21 05 35.0         12HE85    268  C~1j9N      
2012 04  19.36529  18 37 54.06   -21 05 35.0         12HE85    268  C~1j9N      
2012 04  19.39518  18 37 54.04   -21 05 34.8         12HE85    268  C~1j9N      
2012 04  19.39905  18 37 54.03   -21 05 34.7         12HE85    268  C~1j9N      
2012 04  19.40424  18 37 54.02   -21 05 34.8         12HE85    268  C~1j9N      
2012 04  19.41581  18 37 54.01   -21 05 34.7         12HE85    268  C~1j9N      
2012 04  20.25767  18 37 53.04   -21 05 32.7         12HE85    268  C~1j9N      
2012 04  20.26765  18 37 53.02   -21 05 32.7         12HE85    268  C~1j9N      
2013 06  08.17983  18 41 40.38   -20 56 08.3         12HE85    268  C~1j9N      
2013 06  08.22941  18 41 40.14   -20 56 08.5         12HE85    268  C~1j9N      
2013 06  08.26997  18 41 39.94   -20 56 08.5         12HE85    268  C~1j9N      
2013 06  11.21626  18 41 25.62   -20 56 17.7         12HE85    268  C~1j9N      
2013 06  11.27933  18 41 25.30   -20 56 18.1         12HE85    268  C~1j9N      
2013 06  11.34902  18 41 24.97   -20 56 18.2         12HE85    268  C~1j9N      
2013 06  13.21699  18 41 15.71   -20 56 24.4         12HE85    268  C~1j9N      
2013 06  13.27759  18 41 15.40   -20 56 24.6         12HE85    268  C~1j9N      
2013 07  02.19823  18 39 37.18   -20 57 40.8         12HE85    268  C~1j9N      
2013 07  02.24782  18 39 36.92   -20 57 41.1         12HE85    268  C~1j9N      
2013 07  02.29670  18 39 36.65   -20 57 41.3         12HE85    268  C~1j9N      
2013 07  03.19268  18 39 31.92   -20 57 45.4         12HE85    268  C~1j9N      
2013 07  03.26930  18 39 31.52   -20 57 45.8         12HE85    268  C~1j9N      
2013 07  03.31283  18 39 31.29   -20 57 46.1         12HE85    268  C~1j9N      
2013 07  05.36127  18 39 20.50   -20 57 56.0         12HE85    266  C~1j9N      
2013 07  05.44641  18 39 20.03   -20 57 56.2         12HE85    266  C~1j9N      
2013 07  05.52710  18 39 19.62   -20 57 56.7         12HE85    266  C~1j9N      
2013 07  06.44424  18 39 14.79   -20 58 01.1   25.3R 12HE85    266  C~1j9N      
2013 07  06.52828  18 39 14.33   -20 58 01.5         12HE85    266  C~1j9N      
2013 08  28.07314  18 35 35.25   -21 02 18.1         12HE85    268  C~1j9N      
2013 08  30.06948  18 35 30.71   -21 02 26.5         12HE85    268  C~1j9N      
2013 09  01.05404  18 35 26.57   -21 02 34.6         12HE85    268  C~1j9N      
2013 09  03.04605  18 35 22.78   -21 02 42.6         12HE85    268  C~1j9N      
2013 09  04.05023  18 35 21.02   -21 02 46.4         12HE85    268  C~1j9N      
2013 09  06.04468  18 35 17.82   -21 02 54.0         12HE85    268  C~1j9N      
2014 06  25.36019  18 46 41.568  -20 46 56.94        12HE85    266  C~2Gt8      
2014 06  25.40240  18 46 41.349  -20 46 57.18        12HE85    266  C~2Gt8      
2014 06  25.40565  18 46 41.326  -20 46 57.32        12HE85    266  C~2Gt8      
2014 06  25.48026  18 46 40.931  -20 46 57.68        12HE85    266  C~2Gt8      
2016 06  05.50229  19 01 06.126  -20 22 07.95        12HE85    266  C~2Gt8      
2016 06  05.54625  19 01 05.929  -20 22 08.13        12HE85    266  C~2Gt8      

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     0.01
  2   0.0001     -0.69     0.02       0.15     0.00
  3   0.0003     -1.38     0.05       0.29    -0.02
  4   0.0004     -2.08    -0.00       0.34    -0.13
  5   0.0028    -15.04     0.03       3.69     0.01
  6   0.0028    -15.04     0.05       3.69     0.01
  7   0.0029    -15.18     0.08       3.70    -0.02
  8   0.0029    -15.46     0.16       3.72    -0.07
  9   0.0030    -15.88    -0.04       3.85     0.01
 10   0.0030    -16.02    -0.02       3.86    -0.02
 11   0.0030    -16.16    -0.10       3.87    -0.02
 12   0.0031    -16.42     0.13       4.09     0.09
 13   0.0031    -16.55     0.06       4.19     0.18
 14   0.0031    -16.70    -0.00       4.10     0.07
 15   0.0031    -16.83     0.06       4.21     0.14
 16   0.0054    -30.25    -0.07       7.10     0.03
 17   0.0055    -30.53    -0.18       7.12     0.01
 18   1.1387   3184.48    -0.14     352.26    -0.05
 19   1.1388   3181.11    -0.12     352.30    -0.10
 20   1.1390   3178.31    -0.13     352.50     0.02
 21   1.1470   2977.50    -0.13     357.61     0.02
 22   1.1472   2973.00    -0.21     357.53    -0.17
 23   1.1474   2968.38     0.06     357.76    -0.07
 24   1.1525   2838.52    -0.10     360.77    -0.03
 25   1.1527   2834.17    -0.13     360.88    -0.02
 26   1.2045   1456.15    -0.04     380.46     0.17
 27   1.2046   1452.49     0.05     380.41     0.09
 28   1.2047   1448.71    -0.06     380.47     0.11
 29   1.2072   1382.32    -0.11     380.89     0.15
 30   1.2074   1376.71     0.04     380.88     0.08
 31   1.2075   1373.47     0.08     380.80    -0.03
 32   1.2131   1222.01     0.13     381.18    -0.19
 33   1.2134   1215.42    -0.05     381.43     0.03
 34   1.2136   1209.66     0.25     381.32    -0.13
 35   1.2161   1141.86     0.13     381.51    -0.17
 36   1.2163   1135.41    -0.02     381.55    -0.18
 37   1.3602  -1942.72     0.08     324.18    -0.04
 38   1.3656  -2006.68     0.04     319.72    -0.03
 39   1.3711  -2065.03     0.05     315.22     0.01
 40   1.3765  -2118.49    -0.10     310.50    -0.03
 41   1.3793  -2143.32    -0.09     308.23     0.08
 42   1.3847  -2188.50    -0.08     303.40     0.07
 43   2.1851   7438.70     0.10     584.31     0.08
 44   2.1852   7435.62     0.17     584.31     0.06
 45   2.1852   7435.29     0.08     584.20    -0.06
 46   2.1854   7429.73     0.10     584.28    -0.05
 47   4.1321  19721.05    -0.05     973.60     0.05
 48   4.1322  19718.25    -0.02     973.70     0.05

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.

12HE85    quality flag:3

Type:        9:5EEEE   9:5EEEE   9:5EEEE

axisobj        44.319    44.327    44.312
ecceobj         0.095     0.095     0.095
incobj          3.034     3.034     3.034
qmin           39.700    39.708    39.677
qmax           49.747    49.704    49.805
amean          44.554    44.554    44.554
amin           44.167    44.187    44.182
amax           44.958    44.962    44.972
emean           0.095     0.095     0.096
emin            0.085     0.083     0.084
emax            0.107     0.106     0.107
imean           4.660     4.655     4.650
imin            4.084     4.072     4.016
imax            5.277     5.275     5.267
excite_mean     0.125     0.125     0.125
fracstop        1.000     1.000     1.000
cjmean          3.089     3.089     3.089

libcent 0       188.3     182.3     178.4
libamp  0       131.3     124.4     145.8
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       177.7     177.8     178.3
kozaiamp        180.0     180.0     179.9