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: 15KF459 # Created Sun Oct 19 01:11:02 2025 # Orbit generated from Bernstein formalism # Fitting 41 observations of 41 # Arc: 0.89y # First observation: 2015/05/17 # Last observation: 2016/04/04 Preliminary a, adot, b, bdot, g, gdot: -0.000076 0.033120 -0.000007 0.001241 0.028250 0.000000 # Chi-squared of fit: 23.68 DOF: 76 RMS: 0.13 # Min/Max residuals: -0.30 0.40 # Exact a, adot, b, bdot, g, gdot: 1.890385E-05 3.291550E-02 7.296283E-07 1.265933E-03 2.882761E-02 2.439119E-03 # Covariance matrix: 2.0859E-13 2.7088E-12 3.7252E-14 -7.8530E-15 1.2532E-12 8.0266E-11 2.7088E-12 1.9628E-10 1.8675E-12 -9.0040E-13 6.6564E-11 5.0346E-09 3.7252E-14 1.8675E-12 1.3716E-13 -1.5172E-13 6.9174E-13 4.9380E-11 -7.8530E-15 -9.0040E-13 -1.5172E-13 2.6147E-13 -2.7573E-13 -2.2388E-11 1.2532E-12 6.6564E-11 6.9174E-13 -2.7573E-13 2.4229E-11 1.7496E-09 8.0266E-11 5.0346E-09 4.9380E-11 -2.2388E-11 1.7496E-09 1.3029E-07 # lat0 lon0 xBary yBary zBary JD0 16.077821 -141.647485 -0.307589 0.266373 -0.923863 2457159.863358 # Heliocentric elements and errors Epoch: 2457150.5000 = 2015/05/08 Mean Anomaly: 19.02505 +/- 1.922 Argument of Peri: 53.61660 +/- 3.149 Long of Asc Node: 136.48618 +/- 0.015 Inclination: 15.78042 +/- 0.000 Eccentricity: 0.20438923 +/- 0.0064 Semi-Major Axis: 43.81221654 +/- 0.1208 Time of Perihelion: 2451552.7352 +/- 565.2 Perihelion: 34.85747150 +/- 0.2979 Aphelion: 52.76696159 +/- 0.3173 Period (y) 290.0020 +/- 1.20 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.70540219 +/- 0.0045 Ecliptic Y -21.52079498 +/- 0.0035 Ecliptic Z 9.60693486 +/- 0.0016 Ecliptic XDOT 0.00178845 +/- 0.0000 Ecliptic YDOT -0.00257509 +/- 0.0000 Ecliptic ZDOT 0.00017976 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.61764058 +/- 0.0040 Geocenter to KBO 34.68897125 +/- 0.0059 # Hcoef: 8.48
The following table shows the complete astrometric record for 15KF459. 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 (15KF459) followed by the observatory code and reference code for the source of the astrometry.
2015 05 17.36258 14 44 22.34 +00 58 11.0 24.8g 15KF459 T09 C~8r6l 2015 05 17.42671 14 44 22.03 +00 58 12.2 25.5g 15KF459 T09 C~8r6l 2015 05 17.46091 14 44 21.83 +00 58 12.7 25.5g 15KF459 T09 C~8r6l 2015 05 17.50119 14 44 21.63 +00 58 13.2 25.6g 15KF459 T09 C~8r6l 2015 05 26.29019 14 43 37.96 +01 00 21.3 23.1y 15KF459 T09 C~8r6l 2015 05 26.30476 14 43 37.90 +01 00 21.3 22.9y 15KF459 T09 C~8r6l 2015 05 26.31657 14 43 37.84 +01 00 21.3 23.3y 15KF459 T09 C~8r6l 2015 05 26.31942 14 43 37.82 +01 00 21.4 23.0y 15KF459 T09 C~8r6l 2015 05 26.33417 14 43 37.75 +01 00 21.6 23.2y 15KF459 T09 C~8r6l 2015 05 26.34893 14 43 37.68 +01 00 21.9 22.9y 15KF459 T09 C~8r6l 2015 05 26.36367 14 43 37.61 +01 00 21.9 23.7y 15KF459 T09 C~8r6l 2015 07 12.27172 14 41 03.79 +00 57 09.8 23.1z 15KF459 T09 C~8r6l 2015 07 12.29941 14 41 03.76 +00 57 09.3 23.1z 15KF459 T09 C~8r6l 2015 07 12.32113 14 41 03.72 +00 57 08.8 23.0z 15KF459 T09 C~8r6l 2016 03 09.61601 14 56 35.66 -00 07 23.3 24.4r 15KF459 T09 C~94qP 2016 03 09.61813 14 56 35.65 -00 07 23.0 24.2r 15KF459 T09 C~94qP 2016 03 09.62752 14 56 35.62 -00 07 22.6 24.2r 15KF459 T09 C~94qP 2016 03 09.64637 14 56 35.57 -00 07 22.3 24.5r 15KF459 T09 C~94qP 2016 03 12.53846 14 56 28.66 -00 05 41.8 23.7z 15KF459 T09 C~94qP 2016 03 12.55683 14 56 28.63 -00 05 41.3 24.1z 15KF459 T09 C~94qP 2016 03 12.57306 14 56 28.56 -00 05 40.7 24.3z 15KF459 T09 C~94qP 2016 03 12.58925 14 56 28.55 -00 05 40.2 24.3z 15KF459 T09 C~94qP 2016 03 12.59196 14 56 28.53 -00 05 40.0 24.2z 15KF459 T09 C~94qP 2016 03 12.60548 14 56 28.50 -00 05 39.3 24.5z 15KF459 T09 C~94qP 2016 03 12.61360 14 56 28.47 -00 05 39.2 24.1z 15KF459 T09 C~94qP 2016 03 12.62171 14 56 28.46 -00 05 39.0 23.7z 15KF459 T09 C~94qP 2016 03 12.62712 14 56 28.43 -00 05 38.8 24.0z 15KF459 T09 C~94qP 2016 03 12.64332 14 56 28.38 -00 05 38.1 24.0z 15KF459 T09 C~94qP 2016 03 12.64871 14 56 28.38 -00 05 37.8 23.6z 15KF459 T09 C~94qP 2016 03 15.54881 14 56 20.64 -00 03 56.4 23.6y 15KF459 T09 C~94qP 2016 03 15.56722 14 56 20.59 -00 03 55.9 23.3y 15KF459 T09 C~94qP 2016 03 15.58344 14 56 20.55 -00 03 54.8 23.2y 15KF459 T09 C~94qP 2016 03 15.59965 14 56 20.49 -00 03 54.2 23.8y 15KF459 T09 C~94qP 2016 03 15.60234 14 56 20.48 -00 03 54.3 23.5y 15KF459 T09 C~94qP 2016 03 15.61586 14 56 20.46 -00 03 53.7 23.7y 15KF459 T09 C~94qP 2016 03 15.62394 14 56 20.43 -00 03 53.8 23.5y 15KF459 T09 C~94qP 2016 03 15.63741 14 56 20.39 -00 03 53.3 23.4y 15KF459 T09 C~94qP 2016 04 04.57388 14 55 08.37 +00 07 47.3 25.2g 15KF459 T09 C~94qP 2016 04 04.58878 14 55 08.30 +00 07 47.7 25.2g 15KF459 T09 C~94qP 2016 04 04.60164 14 55 08.24 +00 07 48.2 24.9g 15KF459 T09 C~94qP 2016 04 04.61860 14 55 08.17 +00 07 48.9 25.0g 15KF459 T09 C~94qP
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 -0.18 0.00 -0.01
2 0.0002 -4.79 0.14 -0.31 0.19
3 0.0003 -7.80 -0.15 -0.77 -0.00
4 0.0004 -10.80 0.05 -1.23 -0.14
5 0.0244 -673.04 -0.12 -83.84 0.14
6 0.0245 -673.89 0.10 -84.12 0.03
7 0.0245 -674.75 0.11 -84.40 -0.11
8 0.0245 -675.06 0.01 -84.40 -0.08
9 0.0246 -676.12 0.03 -84.54 -0.04
10 0.0246 -677.21 0.03 -84.58 0.09
11 0.0246 -678.21 0.11 -84.91 -0.06
12 0.1531 -2810.42 -0.08 -986.91 -0.02
13 0.1531 -2810.69 0.03 -987.53 0.06
14 0.1532 -2811.11 -0.09 -988.19 -0.05
15 0.8138 11690.35 0.18 -303.34 -0.17
16 0.8138 11690.12 0.03 -303.10 0.02
17 0.8139 11689.56 -0.10 -302.86 0.06
18 0.8139 11688.75 -0.08 -302.81 -0.30
19 0.8218 11558.48 -0.17 -239.61 -0.07
20 0.8219 11557.90 0.13 -239.27 -0.11
21 0.8219 11556.71 -0.27 -239.03 -0.21
22 0.8220 11556.41 0.22 -238.60 -0.12
23 0.8220 11556.06 -0.00 -238.51 -0.08
24 0.8220 11555.41 0.01 -237.98 0.17
25 0.8220 11554.95 -0.06 -238.03 -0.05
26 0.8221 11554.75 0.13 -237.88 -0.07
27 0.8221 11554.26 -0.10 -237.83 -0.14
28 0.8221 11553.32 -0.25 -237.40 -0.04
29 0.8221 11553.23 -0.08 -237.12 0.13
30 0.8301 11410.82 0.01 -176.96 -0.01
31 0.8301 11409.95 0.10 -176.72 -0.14
32 0.8302 11409.03 0.04 -175.86 0.40
33 0.8302 11407.99 -0.16 -175.57 0.37
34 0.8302 11407.88 -0.13 -175.71 0.17
35 0.8303 11407.40 0.11 -175.24 0.38
36 0.8303 11407.00 0.14 -175.47 -0.01
37 0.8303 11406.28 0.12 -175.18 0.01
38 0.8849 10157.77 0.09 153.32 -0.01
39 0.8849 10156.65 0.06 153.37 -0.13
40 0.8850 10155.63 -0.00 153.57 -0.09
41 0.8850 10154.41 0.03 153.91 0.04
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.
15KF459 quality flag:1 Type: 7:4EEE SCATNEAR SCATEXTD axisobj 43.319 43.854 42.888 ecceobj 0.195 0.217 0.176 incobj 15.793 15.795 15.792 qmin 32.587 30.400 34.744 qmax 55.360 64.423 52.183 amean 43.726 44.327 43.259 amin 43.253 39.883 42.873 amax 44.292 47.599 43.686 emean 0.214 0.257 0.176 emin 0.177 0.208 0.158 emax 0.253 0.353 0.195 imean 13.829 12.045 14.833 imin 12.214 6.416 13.892 imax 15.101 15.209 15.869 excite_mean 0.322 0.334 0.311 fracstop 1.000 1.000 1.000 cjmean 2.974 2.970 2.977 libcent 0 174.7 -180.0 -180.0 libamp 0 122.4 -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 161.7 177.2 183.8 kozaiamp 180.0 180.0 180.0