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: 69987 # Created Tue Dec 24 02:06:45 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 34 observations of 34 # Arc: 24.03y # First observation: 1998/11/19 # Last observation: 2022/11/28 # Chi-squared of fit: 77.69 DOF: 62 RMS: 0.27 # Min/Max residuals: -0.84 0.55 # Exact a, adot, b, bdot, g, gdot: 1.508406E-05 2.376871E-02 -6.664523E-08 2.343330E-05 2.436691E-02 3.622368E-04 # 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 -1.070339 49.419552 -0.131946 -0.018457 -0.975345 2451136.726261 # Heliocentric elements and errors Epoch: 2451136.5000 = 1998/11/19 Mean Anomaly: 47.77448 +/- 0.000 Argument of Peri: 223.19197 +/- 0.000 Long of Asc Node: 136.24877 +/- 0.000 Inclination: 1.04713 +/- 0.000 Eccentricity: 0.02734773 +/- 0.0000 Semi-Major Axis: 42.78808928 +/- 0.0000 Time of Perihelion: 2437569.7379 +/- 0.0 Perihelion: 41.61793214 +/- 0.0000 Aphelion: 43.95824642 +/- 0.0000 Period (y) 279.8933 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.23429306 +/- 0.0000 Ecliptic Y 31.99005762 +/- 0.0000 Ecliptic Z -0.76659696 +/- 0.0000 Ecliptic XDOT -0.00200243 +/- 0.0000 Ecliptic YDOT 0.00177734 +/- 0.0000 Ecliptic ZDOT 0.00000184 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.01972251 +/- 0.0000 Geocenter to KBO 41.03929141 +/- 0.0000 # Hcoef: 7.08
The following table shows the complete astrometric record for 69987. 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 (69987) followed by the observatory code and reference code for the source of the astrometry.
1998 11 19.22553 03 09 05.16 +16 33 14.2 22.8R 69987 695 Ca3208 1998 11 19.29635 03 09 04.79 +16 33 12.8 69987 695 Ca3208 1998 11 19.36883 03 09 04.43 +16 33 11.3 69987 695 Ca3208 1998 11 26.32836 03 08 30.74 +16 30 58.0 23.1R 69987 695 Ca3208 1998 11 27.32464 03 08 26.02 +16 30 39.2 69987 695 Ca3208 1998 11 27.44027 03 08 25.47 +16 30 37.2 69987 695 Ca3208 1999 10 06.55934 03 17 55.98 +17 08 26.3 69987 568 Ca6740 1999 10 09.53349 03 17 44.81 +17 07 40.8 69987 568 Ca6740 1999 10 09.57011 03 17 44.67 +17 07 40.3 69987 568 Ca6740 2000 11 23.19933 03 19 43.59 +17 15 08.8 23.3R 69987 695 Cc2190 2000 11 23.40068 03 19 42.60 +17 15 04.9 69987 695 Cc2190 2002 02 06.38530 03 21 38.60 +17 23 58.7 22.5R 69987 568 Cf1458 2002 02 07.38311 03 21 38.91 +17 24 01.5 69987 568 Cf1458 2003 10 22.31963 03 38 58.09 +18 24 46.0 23.5R 69987 304 Ci9217 2003 10 22.33438 03 38 57.97 +18 24 45.7 69987 304 Ci9217 2011 10 26.466352 04 23 24.393 +20 34 12.55 22.9G 69987 F51 C~41tB 2015 12 09.455732 04 42 34.228 +21 16 23.48 23.6G 69987 F51 C~41tB 2015 12 09.468587 04 42 34.168 +21 16 23.83 24.0G 69987 F51 C~41tB 2015 12 09.481230 04 42 34.136 +21 16 23.65 23.2G 69987 F51 C~41tB 2015 12 09.493948 04 42 34.044 +21 16 23.63 23.4G 69987 F51 C~41tB 2016 01 07.235504 04 40 15.878 +21 12 20.37 22.9G 69987 F51 C~41tB 2016 01 07.248528 04 40 15.820 +21 12 19.86 22.9G 69987 F51 C~41tB 2016 02 04.16487 04 38 49.85 +21 10 07.1 23.6R 69987 G37 C~1mO5 2016 02 04.29596 04 38 49.59 +21 10 06.7 69987 G37 C~1mO5 2016 10 26.595086 04 51 41.975 +21 33 15.70 23.2G 69987 F51 C~41tB 2017 10 30.607691 04 57 08.021 +21 42 28.40 23.6G 69987 F51 C~41tB 2017 11 21.372636 04 55 29.207 +21 39 45.80 23.4G 69987 F51 C~41tB 2017 12 20.32977 04 52 58.917 +21 35 51.40 23.4R 69987 G37 C~2VEs 2017 12 20.40500 04 52 58.509 +21 35 50.47 69987 G37 C~2VEs 2017 12 20.46309 04 52 58.233 +21 35 50.55 69987 G37 C~2VEs 2018 01 05.413571 04 51 42.049 +21 33 56.20 21.4G 69987 F51 C~41tB 2018 01 05.425430 04 51 42.052 +21 33 56.69 21.6G 69987 F51 C~41tB 2022 11 28.398920 05 23 29.185 +22 17 35.88 23.3G 69987 G37 C~68AN 2022 11 28.448350 05 23 28.911 +22 17 35.86 69987 G37 C~68AN
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 0.07 0.00 0.04
2 0.0002 0.00 -0.19 0.00 0.02
3 0.0004 0.00 -0.17 0.00 -0.06
4 0.0194 0.00 -0.08 0.00 0.22
5 0.0222 0.00 0.09 0.00 0.09
6 0.0225 0.00 0.14 0.00 0.27
7 0.8798 0.00 0.07 0.00 -0.53
8 0.8879 0.00 0.13 0.00 -0.31
9 0.8880 0.00 0.19 0.00 -0.23
10 2.0122 0.00 0.18 0.00 0.14
11 2.0128 0.00 0.39 0.00 -0.06
12 3.2174 0.00 -0.16 0.00 0.05
13 3.2201 0.00 -0.51 0.00 -0.02
14 4.9229 0.00 0.23 0.00 0.20
15 4.9230 0.00 -0.60 0.00 0.13
16 12.9343 0.00 -0.55 0.00 0.24
17 17.0547 0.00 -0.09 0.00 -0.36
18 17.0547 0.00 0.03 0.00 0.11
19 17.0548 0.00 0.55 0.00 0.05
20 17.0548 0.00 0.18 0.00 0.15
21 17.1335 0.00 0.34 0.00 0.39
22 17.1335 0.00 0.30 0.00 -0.03
23 17.2100 0.00 -0.14 0.00 0.21
24 17.2103 0.00 -0.26 0.00 0.13
25 17.9367 0.00 0.37 0.00 0.02
26 18.9470 0.00 0.08 0.00 0.09
27 19.0066 0.00 -0.17 0.00 -0.15
28 19.0858 0.00 0.04 0.00 0.09
29 19.0860 0.00 -0.28 0.00 -0.25
30 19.0862 0.00 0.04 0.00 0.30
31 19.1299 0.00 -0.45 0.00 -0.84
32 19.1299 0.00 0.39 0.00 -0.27
33 24.0251 0.00 0.04 0.00 -0.02
34 24.0253 0.00 -0.27 0.00 0.20
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.
69987 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.871 42.871 42.871 ecceobj 0.027 0.027 0.027 incobj 1.047 1.047 1.047 qmin 40.287 40.274 40.272 qmax 45.061 45.055 45.065 amean 42.562 42.562 42.562 amin 42.231 42.231 42.232 amax 42.901 42.900 42.902 emean 0.032 0.032 0.032 emin 0.008 0.008 0.008 emax 0.051 0.051 0.051 imean 2.132 2.132 2.132 imin 0.776 0.776 0.775 imax 3.017 3.016 3.017 excite_mean 0.049 0.049 0.049 fracstop 1.000 1.000 1.000 cjmean 3.081 3.081 3.081 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 183.2 183.1 183.2 kozaiamp 179.9 179.9 180.0