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: 69986
# Created Sun Dec 22 02:06:49 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 33 observations of 33
# Arc: 19.82y
# First observation: 1998/11/18
# Last observation: 2018/09/14
# Chi-squared of fit: 72.68 DOF: 60 RMS: 0.26
# Min/Max residuals: -0.99 0.56
# Exact a, adot, b, bdot, g, gdot:
1.799892E-05 3.941497E-02 -6.121830E-06 -9.740148E-03 3.300100E-02 3.532080E-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
1.189272 49.109761 -0.118495 0.020043 -0.977122 2451135.641301
# Heliocentric elements and errors
Epoch: 2451136.5000 = 1998/11/19
Mean Anomaly: 17.69636 +/- 0.000
Argument of Peri: 146.50791 +/- 0.000
Long of Asc Node: 233.97132 +/- 0.000
Inclination: 13.90949 +/- 0.000
Eccentricity: 0.23160184 +/- 0.0000
Semi-Major Axis: 39.77343813 +/- 0.0000
Time of Perihelion: 2446632.7988 +/- 0.0
Perihelion: 30.56183649 +/- 0.0000
Aphelion: 48.98503976 +/- 0.0000
Period (y) 250.8406 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 20.39002007 +/- 0.0000
Ecliptic Y 23.71845674 +/- 0.0000
Ecliptic Z 0.62876242 +/- 0.0000
Ecliptic XDOT -0.00226982 +/- 0.0000
Ecliptic YDOT 0.00238382 +/- 0.0000
Ecliptic ZDOT -0.00080184 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 31.28434194 +/- 0.0000
Geocenter to KBO 30.30208793 +/- 0.0000
# Hcoef: 8.45
The following table shows the complete astrometric record for 69986. 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 (69986) followed by the observatory code and reference code for the source of the astrometry.
1998 11 18.14057 03 05 15.15 +18 38 37.6 22.3R 69986 695 Ca3208 1998 11 18.20979 03 05 14.70 +18 38 35.0 69986 695 Ca3208 1998 11 18.39543 03 05 13.50 +18 38 29.4 69986 695 Ca3208 1998 11 19.23608 03 05 08.20 +18 38 02.7 24.2R 69986 695 Cj9811 1998 11 19.30691 03 05 07.73 +18 38 00.3 69986 695 Cj9811 1998 11 26.34544 03 04 24.05 +18 34 18.1 22.5R 69986 695 Ca3208 1998 11 26.44358 03 04 23.47 +18 34 15.0 69986 695 Ca3208 1998 11 27.33580 03 04 18.03 +18 33 47.2 69986 695 Ca3208 1998 12 17.94858 03 02 25.72 +18 23 45.6 69986 950 Ca3608 1998 12 17.98913 03 02 25.57 +18 23 44.9 69986 950 Ca3608 1998 12 18.03117 03 02 25.36 +18 23 43.4 69986 950 Ca3608 1999 01 22.26777 03 00 47.98 +18 12 34.5 22.5R 69986 568 Ca5544 1999 01 23.31051 03 00 47.40 +18 12 23.6 69986 568 Ca5544 1999 11 09.31622 03 16 01.42 +18 47 21.4 23.1R 69986 696 Ca7322 1999 11 09.37288 03 16 01.07 +18 47 20.1 69986 696 Ca7322 1999 11 10.40028 03 15 54.50 +18 46 48.7 69986 696 Ca7322 2002 01 31.04236 03 29 12.08 +18 20 58.6 21.5 69986 304 Cf1458 2002 01 31.06756 03 29 12.06 +18 20 58.4 69986 304 Cf1458 2003 10 22.34382 03 56 09.81 +18 51 28.5 69986 304 Ci9217 2003 10 22.35317 03 56 09.76 +18 51 28.2 69986 304 Ci9217 2003 10 23.29654 03 56 04.87 +18 51 07.3 69986 304 Ci9217 2003 10 23.32927 03 56 04.68 +18 51 06.6 69986 304 Ci9217 2008 09 24.45032 04 42 47.78 +18 15 19.8 26.4R 69986 250 S~06Fv 2008 09 24.45657 04 42 47.76 +18 15 19.6 69986 250 S~06Fv 2008 09 24.46351 04 42 47.76 +18 15 19.6 69986 250 S~06Fv 2008 09 24.46976 04 42 47.73 +18 15 19.3 69986 250 S~06Fv 2017 03 29.24673 05 38 21.788 +15 49 00.80 23.7w 69986 568 C~2WuY 2017 12 20.16841 05 50 32.883 +15 20 45.13 23.4R 69986 G37 C~2VEs 2017 12 20.25097 05 50 32.368 +15 20 44.80 69986 G37 C~2VEs 2017 12 20.29204 05 50 32.109 +15 20 44.49 69986 G37 C~2VEs 2018 09 13.410300 06 02 50.43 +15 21 48.3 23.8G 69986 705 C~2raj 2018 09 13.465910 06 02 50.57 +15 21 47.1 24.2G 69986 705 C~2raj 2018 09 14.470440 06 02 52.86 +15 21 29.5 24.5G 69986 705 C~2raj
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 0.10 0.00 0.34
2 0.0002 0.00 0.01 0.00 -0.08
3 0.0007 0.00 -0.08 0.00 0.22
4 0.0030 0.00 -0.15 0.00 0.20
5 0.0032 0.00 -0.38 0.00 0.04
6 0.0225 0.00 0.19 0.00 -0.12
7 0.0227 0.00 0.56 0.00 -0.12
8 0.0252 0.00 0.05 0.00 -0.12
9 0.0816 0.00 -0.99 0.00 -0.44
10 0.0817 0.00 -0.32 0.00 -0.06
11 0.0818 0.00 -0.46 0.00 -0.44
12 0.1783 0.00 0.45 0.00 0.02
13 0.1812 0.00 0.17 0.00 -0.47
14 0.9752 0.00 0.09 0.00 -0.30
15 0.9753 0.00 0.35 0.00 0.11
16 0.9781 0.00 0.30 0.00 -0.34
17 3.2030 0.00 0.20 0.00 0.38
18 3.2031 0.00 0.07 0.00 0.32
19 4.9260 0.00 -0.15 0.00 0.19
20 4.9260 0.00 -0.16 0.00 0.10
21 4.9286 0.00 0.30 0.00 0.37
22 4.9286 0.00 0.09 0.00 0.41
23 9.8516 0.00 0.08 0.00 0.15
24 9.8517 0.00 -0.10 0.00 0.04
25 9.8517 0.00 0.03 0.00 0.14
26 9.8517 0.00 -0.31 0.00 -0.07
27 18.3603 0.00 0.05 0.00 -0.13
28 19.0884 0.00 0.12 0.00 -0.03
29 19.0886 0.00 0.11 0.00 0.04
30 19.0887 0.00 0.07 0.00 -0.07
31 19.8200 0.00 -0.17 0.00 -0.00
32 19.8202 0.00 0.02 0.00 -0.24
33 19.8229 0.00 -0.09 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.
69986 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.846 39.846 39.846 ecceobj 0.232 0.232 0.232 incobj 13.896 13.896 13.896 qmin 27.257 27.258 27.256 qmax 51.995 51.999 51.992 amean 39.454 39.454 39.454 amin 39.067 39.068 39.067 amax 39.930 39.929 39.931 emean 0.255 0.255 0.255 emin 0.180 0.180 0.180 emax 0.307 0.307 0.307 imean 12.941 12.942 12.941 imin 9.847 9.851 9.844 imax 16.588 16.588 16.588 excite_mean 0.343 0.343 0.343 fracstop 1.000 1.000 1.000 cjmean 2.917 2.917 2.917 libcent 0 179.3 179.3 179.3 libamp 0 47.8 47.8 47.9 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 83.4 83.4 83.4 kozaiamp 68.6 68.5 68.6