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: 13BK78 # Created Sun Dec 22 02:09:24 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 39 observations of 39 # Arc: 4.10y # First observation: 2011/01/10 # Last observation: 2015/02/17 # Chi-squared of fit: 16.07 DOF: 72 RMS: 0.11 # Min/Max residuals: -0.33 0.24 # Exact a, adot, b, bdot, g, gdot: 4.441645E-05 3.652421E-01 -1.431701E-06 -3.111209E-03 1.301971E-01 -8.327843E-02 # Covariance matrix: 1.3312E-10 3.3248E-07 -7.7635E-13 -2.8654E-09 -4.5172E-11 1.5302E-07 3.3248E-07 8.6682E-04 -1.9259E-09 -7.4699E-06 -1.1516E-07 3.9893E-04 -7.7635E-13 -1.9259E-09 1.7966E-13 3.5517E-12 2.6281E-13 -8.8633E-10 -2.8654E-09 -7.4699E-06 3.5517E-12 1.0710E-07 9.9246E-10 -3.4380E-06 -4.5172E-11 -1.1516E-07 2.6281E-13 9.9246E-10 1.5484E-11 -5.3001E-08 1.5302E-07 3.9893E-04 -8.8633E-10 -3.4380E-06 -5.3001E-08 1.8361E-04 # lat0 lon0 xBary yBary zBary JD0 -2.420134 73.952858 -0.576192 -0.033755 -0.798770 2455571.787736 # Heliocentric elements and errors Epoch: 2455572.5000 = 2011/01/11 Mean Anomaly: 358.50480 +/- 0.005 Argument of Peri: 282.98298 +/- 0.000 Long of Asc Node: 175.13871 +/- 0.000 Inclination: 2.20508 +/- 0.000 Eccentricity: 0.78905074 +/- 0.0003 Semi-Major Axis: 39.18716015 +/- 0.0000 Time of Perihelion: 2455944.6434 +/- 1.3 Perihelion: 8.26650256 +/- 0.0123 Aphelion: 70.10781773 +/- 0.0123 Period (y) 245.3149 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 1.79235557 +/- 0.0000 Ecliptic Y 8.30184557 +/- 0.0000 Ecliptic Z -0.32436100 +/- 0.0000 Ecliptic XDOT -0.00786655 +/- 0.0000 Ecliptic YDOT 0.00044511 +/- 0.0000 Ecliptic ZDOT 0.00000859 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 8.49937032 +/- 0.0000 Geocenter to KBO 7.68078313 +/- 0.0000 # Hcoef: 12.50
The following table shows the complete astrometric record for 13BK78. 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 (13BK78) followed by the observatory code and reference code for the source of the astrometry.
2011 01 10.28697 04 51 36.00 +20 04 17.8 21.9R 13BK78 695 C~1vWv 2011 01 10.40310 04 51 34.52 +20 04 16.3 13BK78 695 C~1vWv 2011 01 10.41995 04 51 34.31 +20 04 16.1 13BK78 695 C~1vWv 2013 01 17.48021 07 59 14.946 +18 28 45.10 21.9w 13BK78 F51 C@0613 2013 01 17.49550 07 59 14.653 +18 28 45.90 21.8w 13BK78 F51 C@0613 2013 01 17.51085 07 59 14.369 +18 28 46.89 21.7w 13BK78 F51 C@0613 2013 01 18.284493 07 59 00.308 +18 29 30.84 21.1R 13BK78 568 C~0oSM 2013 01 18.285747 07 59 00.285 +18 29 30.91 21.1R 13BK78 568 C~0oSM 2013 01 18.287004 07 59 00.271 +18 29 31.04 21.0R 13BK78 568 C~0oSM 2013 01 19.261009 07 58 42.473 +18 30 26.59 13BK78 568 C~0oSM 2013 01 20.287995 07 58 23.714 +18 31 25.45 21.2R 13BK78 568 C~0oSM 2013 01 20.289246 07 58 23.691 +18 31 25.36 21.1R 13BK78 568 C~0oSM 2013 01 20.402425 07 58 21.586 +18 31 32.04 20.9R 13BK78 568 C~0oSM 2013 01 20.403678 07 58 21.564 +18 31 32.15 21.0R 13BK78 568 C~0oSM 2013 01 21.507538 07 58 01.421 +18 32 35.31 21.3R 13BK78 F51 C~0oSM 2013 01 24.277758 07 57 11.34 +18 35 14.1 21.8R 13BK78 F65 C~0oSM 2013 02 01.412435 07 54 48.622 +18 42 56.94 21.7R 13BK78 568 C~0oSM 2013 02 01.414434 07 54 48.595 +18 42 57.01 21.7R 13BK78 568 C~0oSM 2013 02 01.416425 07 54 48.554 +18 42 57.09 21.8R 13BK78 568 C~0oSM 2013 02 09.85748 07 52 32.92 +18 50 34.8 22.3R 13BK78 J43 C~0oSM 2013 02 09.91022 07 52 32.11 +18 50 37.5 21.8R 13BK78 J43 C~0oSM 2014 01 05.43598 09 23 47.588 +13 39 01.21 22.3w 13BK78 F51 C~1vWv 2014 01 05.45111 09 23 47.403 +13 39 02.30 22.4w 13BK78 F51 C~1vWv 2014 01 05.48144 09 23 47.023 +13 39 03.76 22.2w 13BK78 F51 C~1vWv 2014 01 25.39439 09 19 00.696 +14 01 48.44 22.2w 13BK78 F51 C~1vWv 2014 01 25.40594 09 19 00.498 +14 01 49.32 22.5w 13BK78 F51 C~1vWv 2014 01 25.41744 09 19 00.303 +14 01 50.19 21.9w 13BK78 F51 C~1vWv 2014 01 25.42894 09 19 00.128 +14 01 51.07 22.1w 13BK78 F51 C~1vWv 2014 02 20.33220 09 11 52.883 +14 36 59.51 21.5i 13BK78 F51 C~1vWv 2014 02 20.34511 09 11 52.676 +14 37 00.49 21.8i 13BK78 F51 C~1vWv 2014 02 20.35799 09 11 52.481 +14 37 01.33 21.7i 13BK78 F51 C~1vWv 2015 02 16.33268 10 18 18.809 +09 31 50.97 22.4w 13BK78 F51 C~1vWv 2015 02 16.34523 10 18 18.615 +09 31 52.07 22.2w 13BK78 F51 C~1vWv 2015 02 16.35774 10 18 18.426 +09 31 53.28 22.3w 13BK78 F51 C~1vWv 2015 02 16.37031 10 18 18.209 +09 31 54.64 22.4w 13BK78 F51 C~1vWv 2015 02 17.38435 10 18 02.699 +09 33 27.90 22.3w 13BK78 F51 C~1vWv 2015 02 17.39713 10 18 02.508 +09 33 29.02 22.2w 13BK78 F51 C~1vWv 2015 02 17.40996 10 18 02.310 +09 33 30.40 22.4w 13BK78 F51 C~1vWv 2015 02 17.42283 10 18 02.100 +09 33 31.62 22.4w 13BK78 F51 C~1vWv
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 -0.04 0.00 0.21
2 0.0003 0.00 -0.01 0.00 0.16
3 0.0004 0.00 0.02 0.00 0.18
4 2.0211 0.00 0.06 0.00 -0.05
5 2.0211 0.00 -0.04 0.00 -0.11
6 2.0211 0.00 0.02 0.00 0.02
7 2.0233 0.00 -0.14 0.00 -0.02
8 2.0233 0.00 -0.13 0.00 -0.02
9 2.0233 0.00 0.01 0.00 0.03
10 2.0259 0.00 -0.03 0.00 -0.01
11 2.0288 0.00 -0.10 0.00 -0.00
12 2.0288 0.00 -0.10 0.00 -0.17
13 2.0291 0.00 -0.02 0.00 -0.10
14 2.0291 0.00 0.00 0.00 -0.06
15 2.0321 0.00 0.14 0.00 -0.15
16 2.0397 0.00 -0.33 0.00 -0.29
17 2.0619 0.00 -0.05 0.00 0.07
18 2.0620 0.00 0.07 0.00 0.03
19 2.0620 0.00 -0.03 0.00 -0.00
20 2.0851 0.00 0.03 0.00 -0.10
21 2.0852 0.00 0.10 0.00 -0.20
22 2.9874 0.00 0.16 0.00 0.00
23 2.9874 0.00 0.18 0.00 0.24
24 2.9875 0.00 0.11 0.00 -0.02
25 3.0420 0.00 0.07 0.00 0.01
26 3.0421 0.00 -0.03 0.00 -0.02
27 3.0421 0.00 -0.09 0.00 -0.06
28 3.0421 0.00 0.15 0.00 -0.08
29 3.1131 0.00 -0.10 0.00 0.22
30 3.1131 0.00 -0.10 0.00 0.17
31 3.1131 0.00 0.07 0.00 -0.01
32 4.1014 0.00 0.03 0.00 -0.02
33 4.1015 0.00 0.04 0.00 -0.09
34 4.1015 0.00 0.13 0.00 -0.03
35 4.1015 0.00 -0.18 0.00 0.16
36 4.1043 0.00 -0.13 0.00 0.04
37 4.1043 0.00 0.01 0.00 -0.03
38 4.1044 0.00 0.05 0.00 0.16
39 4.1044 0.00 -0.07 0.00 0.19
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.
13BK78 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 39.275 39.274 39.276 ecceobj 0.789 0.789 0.789 incobj 2.199 2.199 2.199 qmin 8.243 8.242 8.175 qmax 70.246 76.436 108.329 amean 39.219 39.139 50.642 amin 39.163 36.413 39.194 amax 39.275 42.440 58.456 emean 0.789 0.787 0.832 emin 0.789 0.773 0.789 emax 0.790 0.801 0.853 imean 2.169 2.207 2.360 imin 2.162 2.039 2.162 imax 2.176 2.458 2.454 excite_mean 0.790 0.788 0.833 fracstop 0.000 0.001 0.002 cjmean 2.169 2.175 2.031 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 283.1 288.8 293.5 kozaiamp 0.4 10.5 8.8