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: 612156
# Created Fri May 3 01:09:15 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 47 observations of 47
# Arc: 17.16y
# First observation: 2000/03/29
# Last observation: 2017/05/28
# Chi-squared of fit: 71.05 DOF: 88 RMS: 0.22
# Min/Max residuals: -0.67 0.81
# Exact a, adot, b, bdot, g, gdot:
1.463976E-05 2.040570E-02 2.393069E-06 1.580153E-03 2.231676E-02 -2.017145E-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
0.561053 -174.689167 -0.066912 0.009617 -1.003426 2451632.888143
# Heliocentric elements and errors
Epoch: 2451632.5000 = 2000/03/29
Mean Anomaly: 263.14688 +/- 0.000
Argument of Peri: 114.72461 +/- 0.000
Long of Asc Node: 178.35683 +/- 0.000
Inclination: 4.47349 +/- 0.000
Eccentricity: 0.09702153 +/- 0.0000
Semi-Major Axis: 44.87956203 +/- 0.0000
Time of Perihelion: 2481177.3941 +/- 0.0
Perihelion: 40.52527844 +/- 0.0000
Aphelion: 49.23384562 +/- 0.0000
Period (y) 300.6638 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -45.60116188 +/- 0.0000
Ecliptic Y -4.30404603 +/- 0.0000
Ecliptic Z 0.43889544 +/- 0.0000
Ecliptic XDOT 0.00047387 +/- 0.0000
Ecliptic YDOT -0.00246283 +/- 0.0000
Ecliptic ZDOT 0.00019154 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.80599355 +/- 0.0000
Geocenter to KBO 44.80948235 +/- 0.0000
# Hcoef: 7.54
The following table shows the complete astrometric record for 612156. 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 (612156) followed by the observatory code and reference code for the source of the astrometry.
2000 03 29.38740 12 20 23.34 -01 35 41.5 24.0R 612156 568 Cb2555 2000 03 29.42985 12 20 23.16 -01 35 40.1 23.9R 612156 568 Cb2555 2000 03 29.47449 12 20 22.97 -01 35 38.8 23.4R 612156 568 Cb2555 2000 03 30.36007 12 20 19.34 -01 35 14.7 24.2R 612156 568 Cb2555 2000 03 30.38158 12 20 19.26 -01 35 14.0 23.8R 612156 568 Cb2555 2001 02 23.27950 12 27 03.49 -02 13 32.8 24.0R 612156 309 Cc6643 2001 02 23.35965 12 27 03.21 -02 13 30.9 612156 309 Cc6643 2001 02 24.34956 12 26 59.81 -02 13 07.5 24.0R 612156 309 Cc6643 2001 03 24.34932 12 25 11.60 -02 00 54.0 23.9R 612156 695 Cc7845 2001 03 24.43551 12 25 11.26 -02 00 51.8 612156 695 Cc7845 2002 02 12.25482 12 32 04.57 -02 40 14.3 612156 304 Ce8748 2002 02 12.31238 12 32 04.41 -02 40 13.3 23.0R 612156 304 Ce8748 2013 03 12.35916 13 21 04.23 -06 40 48.7 23.8R 612156 695 C~0uco 2013 03 12.43349 13 21 03.94 -06 40 47.5 612156 695 C~0uco 2013 03 13.36292 13 21 00.63 -06 40 24.7 612156 695 C~0uco 2013 05 14.20820 13 16 51.85 -06 14 32.4 24.0R 612156 G37 C~0snV 2013 05 14.27350 13 16 51.56 -06 14 32.0 612156 G37 C~0snV 2015 02 17.58446 13 31 40.193 -07 33 27.08 24.0r 612156 568 C~2ncJ 2015 02 17.62541 13 31 40.106 -07 33 26.44 24.1r 612156 568 C~2ncJ 2015 02 20.61856 13 31 33.763 -07 32 39.53 24.1r 612156 568 C~2ncJ 2015 03 18.56291 13 30 14.620 -07 23 42.84 23.9r 612156 568 C~2ncJ 2015 03 18.60407 13 30 14.466 -07 23 41.85 23.9r 612156 568 C~2ncJ 2015 03 20.56704 13 30 07.045 -07 22 53.95 24.0r 612156 568 C~2ncJ 2015 04 11.50134 13 28 36.761 -07 13 26.14 23.9r 612156 568 C~2ncJ 2015 04 13.36562 13 28 28.769 -07 12 36.86 23.9r 612156 568 C~2ncJ 2015 04 13.40656 13 28 28.595 -07 12 35.75 23.9r 612156 568 C~2ncJ 2015 04 13.50913 13 28 28.142 -07 12 33.12 24.0r 612156 568 C~2ncJ 2015 04 19.40635 13 28 02.819 -07 09 58.66 23.8r 612156 568 C~2ncJ 2015 05 18.32905 13 26 08.489 -06 58 42.21 23.7r 612156 568 C~2ncJ 2015 06 20.27906 13 24 48.077 -06 51 25.01 24.1r 612156 568 C~2ncJ 2015 06 20.31989 13 24 48.020 -06 51 24.78 24.0r 612156 568 C~2ncJ 2015 06 22.32371 13 24 45.590 -06 51 13.75 23.9r 612156 568 C~2ncJ 2015 07 14.27603 13 24 40.076 -06 51 20.88 24.2r 612156 568 C~2ncJ 2015 07 20.26893 13 24 45.437 -06 52 04.00 24.2r 612156 568 C~2ncJ 2016 02 04.56733 13 36 45.228 -07 58 18.21 24.3w 612156 568 C~2ncJ 2016 02 10.60492 13 36 38.681 -07 57 18.25 23.6w 612156 568 C~2ncJ 2016 02 11.57713 13 36 37.328 -07 57 06.71 24.4w 612156 568 C~2ncJ 2016 03 11.55250 13 35 25.498 -07 48 37.92 24.4w 612156 568 C~2ncJ 2016 03 12.47618 13 35 22.359 -07 48 17.27 24.1w 612156 568 C~2ncJ 2016 04 03.43722 13 33 57.003 -07 39 14.62 24.2w 612156 568 C~2ncJ 2016 04 09.41701 13 33 31.557 -07 36 37.93 23.7w 612156 568 C~2ncJ 2017 02 24.64707 13 40 59.477 -08 15 57.74 612156 568 C~2ncJ 2017 03 29.47339 13 39 09.552 -08 03 58.06 612156 568 C~2ncJ 2017 05 27.26566 13 35 13.897 -07 40 55.82 24.1w 612156 568 C~2WX0 2017 05 27.26965 13 35 13.867 -07 40 55.53 24.1w 612156 568 C~2WX0 2017 05 28.26731 13 35 10.826 -07 40 38.92 24.1w 612156 568 C~2WX0 2017 05 28.27130 13 35 10.813 -07 40 38.92 24.4w 612156 568 C~2WX0
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 -0.14 0.00 -0.23
2 0.0001 0.00 -0.16 0.00 0.00
3 0.0002 0.00 -0.20 0.00 0.07
4 0.0027 0.00 -0.02 0.00 -0.27
5 0.0027 0.00 0.13 0.00 -0.16
6 0.9059 0.00 0.13 0.00 -0.31
7 0.9062 0.00 0.06 0.00 -0.26
8 0.9089 0.00 -0.67 0.00 0.06
9 0.9855 0.00 -0.06 0.00 0.06
10 0.9858 0.00 0.26 0.00 -0.13
11 1.8751 0.00 0.46 0.00 0.53
12 1.8752 0.00 0.43 0.00 0.44
13 12.9527 0.00 -0.15 0.00 0.41
14 12.9529 0.00 -0.43 0.00 -0.16
15 12.9554 0.00 0.07 0.00 0.48
16 13.1248 0.00 0.41 0.00 0.81
17 13.1249 0.00 -0.48 0.00 -0.12
18 14.8890 0.00 -0.16 0.00 0.04
19 14.8891 0.00 -0.18 0.00 0.06
20 14.8973 0.00 -0.20 0.00 0.01
21 14.9683 0.00 -0.19 0.00 -0.01
22 14.9684 0.00 -0.14 0.00 -0.02
23 14.9738 0.00 -0.18 0.00 -0.09
24 15.0339 0.00 -0.02 0.00 -0.06
25 15.0390 0.00 0.06 0.00 0.02
26 15.0391 0.00 0.14 0.00 0.05
27 15.0393 0.00 0.08 0.00 -0.02
28 15.0555 0.00 -0.01 0.00 -0.02
29 15.1347 0.00 0.16 0.00 -0.08
30 15.2249 0.00 0.19 0.00 -0.08
31 15.2250 0.00 0.17 0.00 -0.10
32 15.2305 0.00 0.14 0.00 -0.14
33 15.2906 0.00 0.15 0.00 -0.08
34 15.3070 0.00 0.12 0.00 -0.06
35 15.8526 0.00 -0.14 0.00 -0.00
36 15.8692 0.00 0.10 0.00 -0.24
37 15.8718 0.00 -0.12 0.00 0.03
38 15.9512 0.00 -0.24 0.00 0.09
39 15.9537 0.00 0.02 0.00 -0.05
40 16.0138 0.00 0.00 0.00 -0.03
41 16.0302 0.00 0.08 0.00 -0.04
42 16.9097 0.00 -0.11 0.00 -0.03
43 16.9996 0.00 -0.05 0.00 -0.03
44 17.1605 0.00 0.23 0.00 -0.23
45 17.1605 0.00 -0.03 0.00 -0.00
46 17.1633 0.00 0.20 0.00 -0.02
47 17.1633 0.00 0.19 0.00 -0.08
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.
612156 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.862 44.862 44.862 ecceobj 0.097 0.097 0.097 incobj 4.474 4.474 4.474 qmin 40.192 40.190 40.194 qmax 50.423 50.330 50.487 amean 45.225 45.243 45.199 amin 44.815 44.814 44.815 amax 45.564 45.567 45.580 emean 0.095 0.095 0.095 emin 0.082 0.081 0.083 emax 0.108 0.107 0.109 imean 4.787 4.787 4.788 imin 4.205 4.205 4.205 imax 5.325 5.319 5.328 excite_mean 0.127 0.127 0.127 fracstop 1.000 1.000 1.000 cjmean 3.097 3.097 3.096 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 181.4 181.4 181.3 kozaiamp 180.0 180.0 180.0