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: 15875
# Created Sun May 19 01:36:21 2013
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 72 observations of 72
# Arc: 12.03y
# First observation: 1996/10/11
# Last observation: 2008/10/22
# Chi-squared of fit: 716.78 DOF: 138 RMS: 0.56
# Min/Max residuals: -1.99 1.52
# Exact a, adot, b, bdot, g, gdot:
2.298850E-05 5.511581E-02 4.182637E-08 2.377911E-03 3.922962E-02 -2.512931E-03
# Covariance matrix:
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
# lat0 lon0 xBary yBary zBary JD0
5.329243 21.116576 0.038883 0.092194 -0.989863 2450367.921820
# Heliocentric elements and errors
Epoch: 2450368.5000 = 1996/10/12
Mean Anomaly: 355.07686 +/- 0.000
Argument of Peri: 74.89793 +/- 0.000
Long of Asc Node: 316.64728 +/- 0.000
Inclination: 5.68522 +/- 0.000
Eccentricity: 0.33332297 +/- 0.0000
Semi-Major Axis: 39.56149942 +/- 0.0000
Time of Perihelion: 2451611.4324 +/- 0.0
Perihelion: 26.37474298 +/- 0.0000
Aphelion: 52.74825587 +/- 0.0000
Period (y) 248.8384 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 24.62325842 +/- 0.0000
Ecliptic Y 9.45978859 +/- 0.0000
Ecliptic Z 2.36758146 +/- 0.0000
Ecliptic XDOT -0.00155643 +/- 0.0000
Ecliptic YDOT 0.00352451 +/- 0.0000
Ecliptic ZDOT 0.00014877 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 26.48394333 +/- 0.0000
Geocenter to KBO 25.49100667 +/- 0.0000
# Hcoef: 6.80
The following table shows the complete astrometric record for 15875. 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 (15875) followed by the observatory code and reference code for the source of the astrometry.
1996 10 11.42110 01 09 50.70 +13 10 24.7 21.2R 15875 568 C30144 1996 10 11.47472 01 09 50.32 +13 10 22.5 15875 568 C30144 1996 10 11.51933 01 09 50.01 +13 10 20.8 15875 568 C30144 1996 10 13.39487 01 09 37.08 +13 09 06.9 15875 568 C30144 1996 10 13.42017 01 09 36.90 +13 09 05.9 15875 568 C30144 1996 10 13.44534 01 09 36.73 +13 09 04.9 15875 568 C30144 1996 11 15.13257 01 06 10.45 +12 46 51.3 15875 696 C30195 1996 11 15.32258 01 06 09.46 +12 46 44.9 15875 696 C30195 1996 11 17.20259 01 05 59.81 +12 45 35.0 15875 696 C30195 1996 11 17.26354 01 05 59.43 +12 45 31.7 20.9R 15875 696 C30195 1996 12 15.09951 01 04 23.68 +12 31 39.4 15875 696 C30195 1996 12 15.18711 01 04 23.54 +12 31 37.6 15875 696 C30195 1997 02 01.12366 01 05 53.93 +12 31 37.2 15875 696 C30195 1997 02 01.17218 01 05 54.16 +12 31 38.1 15875 696 C30195 1997 07 01.39800 01 26 10.64 +14 36 39.2 20.7V 15875 709 C30209 1997 07 01.43037 01 26 10.71 +14 36 40.2 20.8V 15875 709 C30209 1997 07 02.41956 01 26 14.48 +14 37 17.3 20.9V 15875 709 C30210 1997 07 02.43575 01 26 14.55 +14 37 14.4 20.8V 15875 709 C30210 1997 07 02.45194 01 26 14.72 +14 37 17.0 19.7V 15875 709 C30210 1997 07 03.42345 01 26 18.22 +14 37 50.7 19.8V 15875 709 C30210 1997 07 03.43963 01 26 18.27 +14 37 51.0 20.3V 15875 709 C30210 1997 08 09.15118 01 26 56.29 +14 50 05.2 21.3R 15875 954 C30630 1997 08 10.13616 01 26 54.68 +14 50 08.9 15875 954 C30630 1997 09 08.46880 01 25 12.17 +14 46 05.2 15875 675 C30579 1997 09 08.51471 01 25 11.94 +14 46 04.4 15875 675 C30579 1997 09 10.18935 01 25 03.24 +14 45 29.3 21.2R 15875 950 C30629 1997 09 10.21549 01 25 03.10 +14 45 28.7 15875 950 C30629 1997 10 05.31434 01 22 27.75 +14 33 16.2 21.6V 15875 691 ca0009 1997 10 05.33607 01 22 27.61 +14 33 16.1 21.3V 15875 691 ca0009 1997 10 05.35755 01 22 27.44 +14 33 14.4 21.4V 15875 691 ca0009 1997 10 25.01969 01 20 11.42 +14 20 28.0 15875 950 Ca0104 1997 10 25.04797 01 20 11.23 +14 20 26.9 15875 950 Ca0104 1997 10 25.10210 01 20 10.86 +14 20 24.8 15875 950 Ca0104 1997 10 25.87469 01 20 05.60 +14 19 53.0 15875 950 Ca0104 1997 10 25.95338 01 20 05.03 +14 19 49.9 15875 950 Ca0104 1997 10 26.01854 01 20 04.56 +14 19 47.3 15875 950 Ca0104 1997 11 08.28586 01 18 38.31 +14 10 41.7 20.7R 15875 696 Ca0191 1997 11 08.34381 01 18 37.97 +14 10 39.2 20.7R 15875 696 Ca0191 1997 11 08.65488 01 18 36.13 +14 10 27.9 15875 867 Ca0191 1997 11 08.66183 01 18 36.08 +14 10 28.0 15875 867 Ca0191 1997 11 08.66877 01 18 35.95 +14 10 27.0 15875 867 Ca0191 1997 11 09.66565 01 18 29.93 +14 09 44.7 15875 867 Ca0191 1997 11 09.67259 01 18 29.92 +14 09 45.3 21.5V 15875 867 Ca0191 1997 11 09.67954 01 18 29.94 +14 09 45.9 15875 867 Ca0191 1998 08 23.43197 01 38 17.20 +16 04 37.2 15875 684 Ca1940 1998 08 26.36620 01 38 07.92 +16 04 22.3 15875 684 Ca1940 1998 08 26.43301 01 38 07.69 +16 04 21.7 15875 684 Ca1940 1998 08 27.40911 01 38 04.31 +16 04 15.9 15875 684 Ca1940 1998 08 27.43721 01 38 04.26 +16 04 15.2 15875 684 Ca1940 1998 08 27.46505 01 38 04.13 +16 04 15.2 15875 684 Ca1940 1999 09 13.11917 01 49 03.09 +17 13 54.9 20.9R 15875 621 Ca6016 1999 09 13.14870 01 49 02.96 +17 13 54.6 20.7R 15875 621 Ca6016 1999 09 17.10644 01 48 42.28 +17 12 41.4 20.6R 15875 621 Ca6016 1999 09 17.12854 01 48 42.14 +17 12 40.6 20.3R 15875 621 Ca6016 1999 09 17.15065 01 48 42.06 +17 12 40.5 20.5R 15875 621 Ca6016 1999 10 30.15872 01 43 56.52 +16 49 50.5 20.5R 15875 688 Ca7269 1999 10 30.28035 01 43 55.72 +16 49 45.5 15875 688 Ca7269 2001 10 20.52538 02 10 00.14 +19 17 15.5 21.5 15875 644 Cj0762 2001 12 20.09591 02 03 54.47 +18 41 09.4 15875 644 Cj0762 2002 11 01.30967 02 21 17.75 +20 16 38.8 21. 15875 644 Cj0762 2003 09 25.05826 02 38 13.74 +21 34 19.4 15875 621 Cj0762 2003 09 25.07770 02 38 13.63 +21 34 19.7 21.1R 15875 621 Cj0762 2003 09 25.09715 02 38 13.57 +21 34 19.1 15875 621 Cj0762 2003 10 24.02337 02 35 08.89 +21 23 35.8 15875 621 Cj0762 2003 10 24.04670 02 35 08.68 +21 23 36.0 20.5R 15875 621 Cj0762 2003 10 24.07393 02 35 08.53 +21 23 35.2 15875 621 Cj0762 2008 07 22.18990 03 40 59.93 +25 15 38.3 22.9R 15875 250 S~06DV 2008 07 22.19615 03 40 59.97 +25 15 38.5 15875 250 S~06DV 2008 07 22.20240 03 41 00.01 +25 15 38.7 15875 250 S~06DV 2008 07 22.20865 03 41 00.05 +25 15 38.9 15875 250 S~06DV 2008 10 22.27228 03 40 16.41 +25 29 59.2 22.3r 15875 695 C~0gPn 2008 10 22.30340 03 40 16.21 +25 29 58.7 22.3r 15875 695 C~0gPn
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 -0.28 0.00 -0.60 2 0.0001 0.00 -0.19 0.00 0.07 3 0.0003 0.00 -0.14 0.00 0.15 4 0.0054 0.00 -0.19 0.00 1.14 5 0.0055 0.00 -0.22 0.00 1.15 6 0.0055 0.00 -0.12 0.00 1.17 7 0.0950 0.00 0.42 0.00 -1.18 8 0.0956 0.00 0.84 0.00 -0.34 9 0.1007 0.00 0.81 0.00 0.59 10 0.1009 0.00 -0.17 0.00 -0.43 11 0.1771 0.00 -0.60 0.00 -0.19 12 0.1773 0.00 -0.41 0.00 -0.17 13 0.3086 0.00 -0.24 0.00 -0.54 14 0.3087 0.00 -0.58 0.00 -0.66 15 0.7200 0.00 0.16 0.00 -0.39 16 0.7201 0.00 -0.64 0.00 -0.56 17 0.7228 0.00 -0.42 0.00 1.48 18 0.7228 0.00 -0.26 0.00 -1.99 19 0.7229 0.00 1.41 0.00 0.03 20 0.7255 0.00 0.54 0.00 0.01 21 0.7256 0.00 0.44 0.00 -0.25 22 0.8261 0.00 -0.86 0.00 0.22 23 0.8288 0.00 -1.41 0.00 -0.33 24 0.9091 0.00 -0.71 0.00 -0.07 25 0.9092 0.00 -0.54 0.00 0.06 26 0.9138 0.00 -0.14 0.00 -0.54 27 0.9139 0.00 -0.11 0.00 -0.58 28 0.9826 0.00 0.27 0.00 -0.42 29 0.9827 0.00 0.43 0.00 0.26 30 0.9827 0.00 0.13 0.00 -0.67 31 1.0365 0.00 0.39 0.00 -0.18 32 1.0366 0.00 0.49 0.00 -0.12 33 1.0368 0.00 0.58 0.00 0.01 34 1.0389 0.00 0.23 0.00 -0.03 35 1.0391 0.00 -0.17 0.00 0.08 36 1.0393 0.00 -0.45 0.00 0.16 37 1.0756 0.00 -0.11 0.00 -0.04 38 1.0758 0.00 0.21 0.00 -0.18 39 1.0766 0.00 1.09 0.00 1.13 40 1.0766 0.00 0.98 0.00 1.52 41 1.0767 0.00 -0.32 0.00 0.80 42 1.0794 0.00 -0.01 0.00 -1.25 43 1.0794 0.00 0.48 0.00 -0.36 44 1.0794 0.00 1.42 0.00 0.52 45 1.8645 0.00 0.22 0.00 -0.63 46 1.8725 0.00 0.38 0.00 -0.16 47 1.8727 0.00 0.41 0.00 -0.34 48 1.8754 0.00 -0.24 0.00 0.60 49 1.8755 0.00 0.53 0.00 0.10 50 1.8755 0.00 0.08 0.00 0.31 51 2.9205 0.00 0.01 0.00 -0.03 52 2.9205 0.00 0.32 0.00 0.18 53 2.9314 0.00 -0.22 0.00 0.36 54 2.9314 0.00 -0.50 0.00 0.00 55 2.9315 0.00 0.13 0.00 0.35 56 3.0492 0.00 -0.94 0.00 0.40 57 3.0496 0.00 0.06 0.00 0.20 58 5.0242 0.00 -0.10 0.00 0.31 59 5.1901 0.00 -0.84 0.00 -0.09 60 6.0558 0.00 -0.21 0.00 0.92 61 6.9531 0.00 0.32 0.00 -0.51 62 6.9532 0.00 0.20 0.00 0.05 63 6.9533 0.00 0.83 0.00 -0.29 64 7.0324 0.00 0.19 0.00 -0.64 65 7.0325 0.00 -0.39 0.00 0.26 66 7.0326 0.00 0.36 0.00 0.28 67 11.7776 0.00 -0.13 0.00 -0.12 68 11.7776 0.00 -0.12 0.00 -0.11 69 11.7776 0.00 -0.10 0.00 -0.10 70 11.7777 0.00 -0.09 0.00 -0.09 71 12.0297 0.00 -0.34 0.00 0.22 72 12.0298 0.00 -0.22 0.00 0.17
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.
15875 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.893 39.893 39.893 ecceobj 0.339 0.339 0.339 incobj 5.689 5.689 5.689 qmin 25.987 25.987 25.987 qmax 53.500 53.500 53.500 amean 39.454 39.454 39.454 amin 39.110 39.110 39.110 amax 39.928 39.928 39.928 emean 0.324 0.324 0.324 emin 0.308 0.308 0.308 emax 0.341 0.341 0.341 imean 7.653 7.653 7.653 imin 7.009 7.009 7.009 imax 8.314 8.314 8.314 excite_mean 0.350 0.350 0.350 fracstop 1.000 1.000 1.000 cjmean 2.909 2.909 2.909 libcent 0 180.0 180.0 180.0 libamp 0 12.2 12.2 12.2 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 203.4 203.4 203.4 kozaiamp 180.0 180.0 180.0