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: 15809 # Created Fri Apr 19 01:06:59 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 52 observations of 52 # Arc: 7.09y # First observation: 1994/05/11 # Last observation: 2001/06/12 # Chi-squared of fit: 427.71 DOF: 98 RMS: 0.51 # Min/Max residuals: -1.20 1.46 # Exact a, adot, b, bdot, g, gdot: 1.933503E-05 3.069243E-02 -1.082429E-05 -7.674620E-03 2.856078E-02 -5.074769E-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 -0.007169 -123.464089 0.112235 -0.000076 -0.998258 2449483.687597 # Heliocentric elements and errors Epoch: 2449484.5000 = 1994/05/12 Mean Anomaly: 323.01586 +/- 0.000 Argument of Peri: 236.10585 +/- 0.000 Long of Asc Node: 56.33329 +/- 0.000 Inclination: 14.01818 +/- 0.000 Eccentricity: 0.22071690 +/- 0.0000 Semi-Major Axis: 42.52587923 +/- 0.0000 Time of Perihelion: 2459890.6812 +/- 0.0 Perihelion: 33.13969887 +/- 0.0000 Aphelion: 51.91205960 +/- 0.0000 Period (y) 277.3244 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -19.95069407 +/- 0.0000 Ecliptic Y -29.98701652 +/- 0.0000 Ecliptic Z -0.00477819 +/- 0.0000 Ecliptic XDOT 0.00272824 +/- 0.0000 Ecliptic YDOT -0.00122008 +/- 0.0000 Ecliptic ZDOT -0.00073577 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.01747585 +/- 0.0000 Geocenter to KBO 35.01319111 +/- 0.0000 # Hcoef: 7.64
The following table shows the complete astrometric record for 15809. 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 (15809) followed by the observatory code and reference code for the source of the astrometry.
1994 05 11.1869 15 36 54.72 -19 23 14.5 22.4R 15809 807 A23618 1994 05 11.2475 15 36 54.34 -19 23 13.8 15809 807 A23618 1994 05 11.3116 15 36 53.99 -19 23 12.6 15809 807 A23618 1994 05 12.2371 15 36 48.71 -19 22 59.5 15809 807 A23618 1994 05 12.2490 15 36 48.65 -19 22 59.5 15809 807 A23618 1994 05 12.2906 15 36 48.38 -19 22 58.6 15809 807 A23618 1994 06 07.3647 15 34 21.36 -19 16 34.4 15809 568 A23582 1994 06 07.4094 15 34 21.14 -19 16 33.8 15809 568 A23582 1994 06 07.4147 15 34 21.10 -19 16 33.8 15809 568 A23582 1995 04 01.1955 15 47 04.92 -20 20 26.1 15809 950 C25182 1995 04 01.2326 15 47 04.79 -20 20 25.8 23.2R 15809 950 C25182 1995 04 06.25791 15 46 46.23 -20 19 52.0 23. R 15809 809 C25403 1995 04 06.32027 15 46 45.98 -20 19 51.5 15809 809 C25403 1995 04 06.34608 15 46 45.87 -20 19 51.3 15809 809 C25403 1995 04 06.36009 15 46 45.83 -20 19 51.5 15809 809 C25403 1995 04 06.37307 15 46 45.75 -20 19 51.2 15809 809 C25403 1995 04 07.1299 15 46 42.78 -20 19 45.5 23.1R 15809 950 C25182 1995 04 07.30278 15 46 42.09 -20 19 44.0 15809 809 C25403 1995 04 07.39345 15 46 41.72 -20 19 43.4 15809 809 C25403 1995 05 29.3913 15 42 05.09 -20 09 01.5 15809 568 A25268 1995 05 29.4334 15 42 04.86 -20 09 01.0 15809 568 A25268 1995 06 22.26594 15 39 59.00 -20 03 48.1 15809 675 C25493 1995 06 22.32105 15 39 58.72 -20 03 47.5 15809 675 C25493 1995 06 23.23889 15 39 54.53 -20 03 37.6 15809 675 C25493 1995 06 23.30418 15 39 54.22 -20 03 36.3 15809 675 C25493 1997 05 31.26456 15 56 03.32 -21 47 23.0 23.1R 15809 696 C30018 1997 05 31.32733 15 56 03.00 -21 47 21.3 15809 696 C30018 1997 06 03.31442 15 55 45.56 -21 46 43.7 15809 711 C30029 1997 06 03.32236 15 55 45.44 -21 46 44.4 15809 711 C30029 1997 06 04.30804 15 55 39.86 -21 46 30.6 15809 711 C30029 1998 05 24.05453 16 04 07.00 -22 37 18.6 15809 950 Ca1682 1998 05 24.08644 16 04 06.81 -22 37 18.2 15809 950 Ca1682 1998 05 25.06345 16 04 00.93 -22 37 06.6 15809 950 Ca1682 1998 05 25.09485 16 04 00.75 -22 37 06.2 15809 950 Ca1682 1998 05 25.11521 16 04 00.63 -22 37 05.7 15809 950 Ca1682 1998 06 18.25688 16 01 40.87 -22 32 16.8 15809 696 Ca1682 1998 06 18.30572 16 01 40.49 -22 32 16.1 15809 696 Ca1682 1999 05 21.38527 16 11 53.15 -23 25 18.9 23.0R 15809 697 Cb0711 1999 05 22.34019 16 11 47.43 -23 25 09.9 23.0R 15809 697 Cb0711 1999 05 23.32029 16 11 41.44 -23 24 58.9 22.9R 15809 697 Cb0711 1999 05 23.35219 16 11 41.24 -23 24 58.3 22.6R 15809 697 Cb0711 1999 05 24.30584 16 11 35.44 -23 24 48.2 23.0R 15809 697 Cb0711 1999 05 24.34304 16 11 35.20 -23 24 47.8 15809 697 Cb0711 1999 05 24.38344 16 11 34.97 -23 24 47.2 22.7R 15809 697 Cb0711 2000 06 24.99663 16 16 01.85 -24 05 42.5 15809 950 Cb6356 2000 06 25.02994 16 16 01.65 -24 05 42.1 15809 950 Cb6356 2000 06 25.96840 16 15 56.75 -24 05 32.2 15809 950 Cb6356 2000 06 26.00380 16 15 56.56 -24 05 32.0 15809 950 Cb6356 2001 06 09.22218 16 25 18.55 -24 54 22.6 22.2 15809 304 Cf0777 2001 06 09.23940 16 25 18.44 -24 54 22.4 15809 304 Cf0777 2001 06 12.05753 16 25 01.39 -24 53 54.5 15809 304 Cf0777 2001 06 12.09759 16 25 01.16 -24 53 54.1 15809 304 Cf0777
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 -0.16 0.00 1.43
2 0.0002 0.00 -0.57 0.00 1.23
3 0.0003 0.00 -0.23 0.00 1.46
4 0.0029 0.00 0.07 0.00 0.75
5 0.0029 0.00 0.21 0.00 0.57
6 0.0030 0.00 -0.21 0.00 0.84
7 0.0744 0.00 0.17 0.00 -0.54
8 0.0745 0.00 0.51 0.00 -0.56
9 0.0745 0.00 0.34 0.00 -0.64
10 0.8898 0.00 -0.04 0.00 -0.53
11 0.8899 0.00 -0.01 0.00 -0.45
12 0.9037 0.00 0.02 0.00 -0.32
13 0.9039 0.00 0.02 0.00 -0.28
14 0.9039 0.00 -0.07 0.00 -0.27
15 0.9040 0.00 0.17 0.00 -0.58
16 0.9040 0.00 -0.25 0.00 -0.37
17 0.9061 0.00 -0.03 0.00 -0.12
18 0.9065 0.00 0.02 0.00 -0.17
19 0.9068 0.00 0.05 0.00 -0.28
20 1.0492 0.00 1.00 0.00 -0.33
21 1.0493 0.00 1.24 0.00 -0.44
22 1.1145 0.00 -0.52 0.00 -0.14
23 1.1147 0.00 -0.80 0.00 -0.18
24 1.1172 0.00 -0.12 0.00 -0.61
25 1.1174 0.00 -0.18 0.00 -0.05
26 3.0557 0.00 -0.39 0.00 0.04
27 3.0558 0.00 0.43 0.00 0.93
28 3.0640 0.00 0.47 0.00 0.01
29 3.0640 0.00 -0.63 0.00 -0.80
30 3.0667 0.00 1.28 0.00 0.32
31 4.0352 0.00 -0.78 0.00 0.06
32 4.0353 0.00 -0.70 0.00 0.08
33 4.0380 0.00 -0.62 0.00 0.17
34 4.0381 0.00 -0.43 0.00 0.20
35 4.0381 0.00 -0.36 0.00 0.45
36 4.1042 0.00 0.50 0.00 -0.90
37 4.1044 0.00 -1.20 0.00 -0.78
38 5.0272 0.00 -0.31 0.00 0.02
39 5.0299 0.00 0.73 0.00 -0.90
40 5.0325 0.00 0.17 0.00 -0.18
41 5.0326 0.00 0.13 0.00 0.08
42 5.0352 0.00 0.06 0.00 0.08
43 5.0353 0.00 -0.09 0.00 0.08
44 5.0354 0.00 0.20 0.00 0.25
45 6.1241 0.00 0.15 0.00 0.12
46 6.1241 0.00 -0.17 0.00 0.17
47 6.1267 0.00 -0.00 0.00 0.26
48 6.1268 0.00 -0.03 0.00 0.09
49 7.0802 0.00 0.21 0.00 0.14
50 7.0802 0.00 0.16 0.00 0.17
51 7.0879 0.00 0.19 0.00 0.23
52 7.0881 0.00 0.41 0.00 0.24
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.
15809 quality flag:3 Type: 5:3EE 5:3EE 5:3EE axisobj 42.000 42.000 42.000 ecceobj 0.215 0.215 0.215 incobj 14.082 14.082 14.082 qmin 32.599 32.602 32.596 qmax 52.514 52.549 52.502 amean 42.327 42.327 42.327 amin 41.907 41.894 41.907 amax 42.796 42.808 42.794 emean 0.205 0.206 0.205 emin 0.177 0.177 0.177 emax 0.228 0.229 0.228 imean 13.510 13.509 13.511 imin 12.801 12.813 12.801 imax 14.486 14.475 14.492 excite_mean 0.311 0.311 0.311 fracstop 1.000 1.000 1.000 cjmean 2.968 2.968 2.968 libcent 0 180.2 178.9 180.3 libamp 0 62.9 62.9 63.6 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 177.5 178.2 177.4 kozaiamp 180.0 180.0 180.0