Orbit Fit and Astrometric record for 07RT15

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: 07RT15    
# Created Fri Dec 15 02:37:27 2017
# Orbit generated from Bernstein formalism
# Fitting   57 observations of   60
# Arc:  14.28y
# First observation: 2000/09/26
#  Last observation: 2015/01/06
Preliminary a, adot, b, bdot, g, gdot:
  -0.014294   0.046538  -0.000712   0.002538   0.042275   0.000000
# Chi-squared of fit:    95.76 DOF:  108 RMS:  0.23
# Min/Max residuals:    -1.48    0.50
# Exact a, adot, b, bdot, g, gdot:
  1.937931E-05  4.278045E-02  1.653811E-06  2.458624E-03  3.394688E-02  1.290877E-03
# Covariance matrix:
  2.1419E-13 -4.4197E-14  5.3627E-15 -1.9891E-15 -1.5283E-14 -4.5476E-14
 -4.4197E-14  1.4213E-14 -2.0954E-15  7.7739E-16  5.9497E-15  1.7770E-14
  5.3627E-15 -2.0954E-15  1.2829E-13 -1.0632E-14 -5.8506E-16 -2.8625E-15
 -1.9891E-15  7.7739E-16 -1.0632E-14  1.1004E-15 -1.9395E-16  1.1006E-15
 -1.5283E-14  5.9497E-15 -5.8506E-16 -1.9395E-16  5.7481E-14  2.8901E-15
 -4.5476E-14  1.7770E-14 -2.8625E-15  1.1006E-15  2.8901E-15  2.4470E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.935989    7.050957    0.065299   -0.222865   -0.969452  2451813.832999
# Heliocentric elements and errors
Epoch:              2451810.5000  =  2000/09/23
Mean Anomaly:            4.81763 +/-     0.001
Argument of Peri:      276.20378 +/-     0.001
Long of Asc Node:       82.36391 +/-     0.000
Inclination:            12.91618 +/-     0.000
Eccentricity:         0.23493692 +/-    0.0000
Semi-Major Axis:     39.70574213 +/-    0.0016
Time of Perihelion: 2450587.5470 +/-       0.2
Perihelion:          30.37739730 +/-    0.0016
Aphelion:            49.03408696 +/-    0.0022
Period (y)              250.2005 +/-      0.01
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.49361157 +/-    0.0002
Ecliptic Y            3.58658647 +/-    0.0000
Ecliptic Z           -6.59442872 +/-    0.0000
Ecliptic XDOT        -0.00028625 +/-    0.0000
Ecliptic YDOT         0.00344713 +/-    0.0000
Ecliptic ZDOT         0.00017011 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   30.43391556 +/-    0.0002
Geocenter to KBO     29.45778949 +/-    0.0002
# Hcoef:  6.88

The following table shows the complete astrometric record for 07RT15. 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 (07RT15) followed by the observatory code and reference code for the source of the astrometry.

2000 09  26.332256 00 46 27.60   -09 04 45.4   21.2V 07RT15    645  C~1S70      
2000 09  26.333085 00 46 27.60   -09 04 45.4   21.0V 07RT15    645  C~1S70      
2000 09  26.335573 00 46 27.58   -09 04 45.5   21.9V 07RT15    645  C~1S70      
2000 09  27.383491 00 46 21.31   -09 05 25.4         07RT15    645  C~2KuB      
2000 09  27.384321 00 46 21.31   -09 05 25.3         07RT15    645  C~2KuB      
2000 09  27.386808 00 46 21.31   -09 05 25.3         07RT15    645  C~2KuB      
2003 10  22.22721  01 10 15.58   -05 57 26.1   21.3R 07RT15    675  Cz3609      
2003 10  22.28900  01 10 15.21   -05 57 27.9   21.8R 07RT15    675  Cz3609      
2003 10  22.35265  01 10 14.82   -05 57 29.2   21.5R 07RT15    675  Cz3609      
2007 09  05.39053  01 48 23.21   -01 00 13.9   21.8V 07RT15    705  Cz2999      
2007 09  05.39385  01 48 23.21   -01 00 14.0   22.4  07RT15    705  Cz2999      
2007 09  11.31700  01 47 59.74   -01 03 42.7   21.4R 07RT15    675  Cv5236      
2007 09  11.36045  01 47 59.54   -01 03 45.4   21.9R 07RT15    675  Cv5236      
2007 09  12.35634  01 47 55.28   -01 04 20.7   21.4R 07RT15    675  Cv5236      
2007 09  14.34845  01 47 46.58   -01 05 33.8   21.6V 07RT15    705  Cz2999      
2007 09  14.35177  01 47 46.56   -01 05 33.9   22.5  07RT15    705  Cz2999      
2007 09  16.38006  01 47 37.31   -01 06 48.1   22.0V 07RT15    705  Cz2999      
2007 09  16.38338  01 47 37.33   -01 06 48.3   22.8  07RT15    705  Cz2999      
2007 09  19.39799  01 47 23.02   -01 08 38.8   22.1V 07RT15    705  Cz2999      
2007 09  19.40131  01 47 23.00   -01 08 39.0   22.9  07RT15    705  Cz2999      
2007 10  18.31528  01 44 41.44   -01 25 38.7         07RT15    675  Cx3444      
2007 10  18.36904  01 44 41.11   -01 25 40.2         07RT15    675  Cx3444      
2007 10  18.42292  01 44 40.72   -01 25 42.4         07RT15    675  Cx3444      
2007 12  04.14350  01 40 30.79   -01 39 47.0         07RT15    675  Cx3444      
2007 12  14.10656  01 39 57.07   -01 39 16.9         07RT15    675  Cx3444      
2008 07  31.41417  01 57 35.86   +00 21 31.2         07RT15    675  Cz3609      
2008 08  02.40157  01 57 36.49   +00 20 56.1         07RT15    675  Cz3609      
2008 08  03.39818  01 57 36.64   +00 20 37.2         07RT15    675  Cz3609      
2011 01  26.23853  02 03 46.998  +01 50 35.37  22.0w 07RT15    F51  C~1vVk      
2011 01  26.24314  02 03 47.005  +01 50 35.47  22.2w 07RT15    F51  C~1vVk      
2011 01  26.26749  02 03 47.038  +01 50 36.21  21.7w 07RT15    F51  C~1vVk      
2011 01  26.27210  02 03 47.052  +01 50 36.39  21.6w 07RT15    F51  C~1vVk      
2011 09  24.47639  02 19 55.634  +03 11 57.87  21.9w 07RT15    F51  C~1vVk      
2011 09  24.49099  02 19 55.568  +03 11 57.39  21.8w 07RT15    F51  C~1vVk      
2011 09  24.50557  02 19 55.500  +03 11 56.85  21.7w 07RT15    F51  C~1vVk      
2011 09  24.52014  02 19 55.435  +03 11 56.49  21.5w 07RT15    F51  C~1vVk      
2014 09  18.48409  02 44 24.955  +06 23 26.44  21.6i 07RT15    F51  C~1vVk      
2014 09  18.49530  02 44 24.921  +06 23 25.96  21.6i 07RT15    F51  C~1vVk      
2014 09  18.50656  02 44 24.875  +06 23 25.80  21.3i 07RT15    F51  C~1vVk      
2014 09  18.51788  02 44 24.837  +06 23 25.51  21.3i 07RT15    F51  C~1vVk      
2014 10  02.44524  02 43 25.748  +06 16 58.54  21.4w 07RT15    F51  C~1vVk      
2014 10  02.45713  02 43 25.683  +06 16 58.23  21.6w 07RT15    F51  C~1vVk      
2014 10  02.46902  02 43 25.634  +06 16 57.82  21.9w 07RT15    F51  C~1vVk      
2014 10  02.48091  02 43 25.572  +06 16 57.44  22.0w 07RT15    F51  C~1vVk      
2014 11  10.36775  02 39 43.339  +05 59 22.19  21.2i 07RT15    F51  C~1vVk      
2014 11  10.37981  02 39 43.273  +05 59 21.97  21.1i 07RT15    F51  C~1vVk      
2014 11  10.39188  02 39 43.205  +05 59 21.60  21.1i 07RT15    F51  C~1vVk      
2014 11  10.40398  02 39 43.093  +05 59 21.02  21.5i 07RT15    F51  C~1vVk      
2014 11  23.31904  02 38 26.873  +05 55 07.31  21.5w 07RT15    F51  C~1vVk      
2014 11  23.33144  02 38 26.808  +05 55 07.09  21.4w 07RT15    F51  C~1vVk      
2014 11  23.34385  02 38 26.732  +05 55 06.95  21.5w 07RT15    F51  C~1vVk      
2014 11  23.35628  02 38 26.659  +05 55 06.71  21.2w 07RT15    F51  C~1vVk      
2014 12  11.26469  02 36 54.106  +05 51 40.36  21.8w 07RT15    F51  C~1vVk      
2014 12  11.27992  02 36 54.025  +05 51 40.27  22.0w 07RT15    F51  C~1vVk      
2014 12  11.29141  02 36 53.981  +05 51 40.14  21.7w 07RT15    F51  C~1vVk      
2014 12  11.30295  02 36 53.932  +05 51 40.20  21.9w 07RT15    F51  C~1vVk      
2015 01  06.27389  02 35 28.185  +05 52 47.22  21.3i 07RT15    F51  C~1vVk      
2015 01  06.28634  02 35 28.145  +05 52 47.49  21.1i 07RT15    F51  C~1vVk      
2015 01  06.29879  02 35 28.123  +05 52 47.78  21.5i 07RT15    F51  C~1vVk      
2015 01  06.31124  02 35 28.092  +05 52 47.88  21.4i 07RT15    F51  C~1vVk      

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     0.11       0.00    -0.10
  2   0.0000      0.00     0.19       0.00    -0.11
  3   0.0000     -0.31     0.12       0.03    -0.08
  4   0.0029   -101.39    -0.34       0.58     0.00
  5   0.0029   -101.35    -0.22       0.67     0.09
  6   0.0029   -101.35     0.02       0.67     0.09
  7   3.0688  24076.85     0.17    1646.71    -0.08
  8   3.0690  24071.00     0.16    1647.34    -0.18
  9   3.0692  24065.08     0.26    1648.56     0.28
 10   6.9406  64522.35     0.03    3635.32     0.04
 11   6.9406  64522.31     0.23    3635.23    -0.02
 12   6.9568  64075.40 (   0.50)   3591.29 (   1.35)
 13   6.9570  64071.16    -0.22    3590.04     0.35
 14   6.9597  63991.31 (  -0.09)   3584.53 (   1.04)
 15   6.9651  63827.80     0.25    3572.31    -0.03
 16   6.9651  63827.46     0.18    3572.34     0.02
 17   6.9707  63655.34    -0.15    3562.70     0.01
 18   6.9707  63655.54     0.35    3562.38    -0.30
 19   6.9790  63391.41     0.13    3551.54    -0.02
 20   6.9790  63391.02     0.04    3551.48    -0.07
 21   7.0581  60526.96    -0.44    3644.82    -0.24
 22   7.0583  60521.40    -0.36    3645.56    -0.05
 23   7.0584  60514.64    -1.48    3646.03    -0.12
 24   7.1863  56459.00    -0.16    4477.60    -0.26
 25   7.2136  55980.27     0.19    4724.71     0.18
 26   7.8442  75213.33 (  -0.04)   4675.10 (   0.72)
 27   7.8496  75206.12     0.11    4636.94     0.50
 28   7.8523  75199.32     0.18    4617.65    -0.07
 29  10.3324  83610.45     0.26    7407.23     0.19
 30  10.3324  83610.61     0.23    7407.28     0.14
 31  10.3325  83611.50     0.15    7407.78     0.09
 32  10.3325  83611.81     0.27    7407.87     0.07
 33  10.9929 101912.34    -0.07    5702.26     0.06
 34  10.9929 101910.97    -0.02    5702.22     0.03
 35  10.9929 101909.54    -0.04    5702.14    -0.05
 36  10.9930 101908.25     0.08    5702.23     0.03
 37  13.9771 134836.62     0.07    7469.82    -0.07
 38  13.9772 134835.67     0.11    7469.54    -0.32
 39  13.9772 134834.69     0.11    7469.69    -0.14
 40  13.9772 134833.78     0.20    7469.65    -0.16
 41  14.0154 133464.25    -0.03    7468.84     0.19
 42  14.0154 133462.82    -0.14    7468.96     0.27
 43  14.0154 133461.63    -0.00    7468.86     0.13
 44  14.0155 133460.21    -0.09    7468.89     0.11
 45  14.1219 128614.08    -0.17    7903.37    -0.09
 46  14.1220 128612.71     0.02    7903.60    -0.09
 47  14.1220 128611.22     0.08    7903.68    -0.25
 48  14.1220 128608.77    -0.80    7903.85    -0.32
 49  14.1574 127032.52    -0.03    8169.07     0.04
 50  14.1574 127031.18     0.09    8169.29    -0.02
 51  14.1575 127029.68     0.05    8169.68     0.08
 52  14.1575 127028.17     0.01    8169.94     0.05
 53  14.2065 125187.09     0.15    8599.84    -0.06
 54  14.2066 125185.53    -0.04    8600.31     0.02
 55  14.2066 125184.64     0.10    8600.48    -0.12
 56  14.2066 125183.77     0.26    8600.89    -0.01
 57  14.2777 123639.10     0.09    9273.40    -0.15
 58  14.2778 123638.52    -0.11    9273.96     0.09
 59  14.2778 123638.28     0.03    9274.43     0.23
 60  14.2778 123637.77    -0.10    9274.75     0.22

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.

07RT15    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.786    39.791    39.781
ecceobj         0.237     0.237     0.236
incobj         12.917    12.917    12.917
qmin           28.601    28.608    28.611
qmax           50.745    50.836    50.762
amean          39.455    39.455    39.455
amin           39.028    39.050    39.056
amax           39.943    39.950    39.955
emean           0.244     0.244     0.244
emin            0.207     0.207     0.208
emax            0.273     0.274     0.273
imean           9.786     9.778     9.788
imin            8.281     8.287     8.285
imax           11.620    11.620    11.620
excite_mean     0.298     0.298     0.298
fracstop        1.000     1.000     1.000
cjmean          2.951     2.951     2.951

libcent 0       180.2     179.7     179.8
libamp  0        63.0      62.4      63.2
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       269.3     269.3     269.3
kozaiamp         37.3      37.8      37.5