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: 15HP198 # Created Wed Jul 17 01:10:54 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 70 observations of 70 # Arc: 17.13y # First observation: 2004/03/20 # Last observation: 2021/05/08 # Chi-squared of fit: 25.12 DOF: 134 RMS: 0.11 # Min/Max residuals: -0.31 0.38 # Exact a, adot, b, bdot, g, gdot: 1.739687E-05 3.020451E-02 1.944081E-06 4.099734E-03 2.748647E-02 -6.737673E-03 # Covariance matrix: 1.3183E-12 -1.9878E-13 1.3407E-13 -2.3902E-14 -6.8255E-14 -2.0508E-13 -1.9878E-13 3.3728E-14 -2.4541E-14 4.3712E-15 2.0716E-14 3.7443E-14 1.3407E-13 -2.4541E-14 3.8869E-13 -2.9877E-14 -1.3118E-14 -2.9066E-14 -2.3902E-14 4.3712E-15 -2.9877E-14 2.5819E-15 2.2668E-15 5.1802E-15 -6.8255E-14 2.0716E-14 -1.3118E-14 2.2668E-15 1.5563E-13 1.8339E-14 -2.0508E-13 3.7443E-14 -2.9066E-14 5.1802E-15 1.8339E-14 4.4419E-14 # lat0 lon0 xBary yBary zBary JD0 -1.792887 -170.068465 0.165366 -0.030568 -0.978038 2453085.040014 # Heliocentric elements and errors Epoch: 2453084.5000 = 2004/03/20 Mean Anomaly: 328.76222 +/- 0.005 Argument of Peri: 44.70200 +/- 0.006 Long of Asc Node: 202.32368 +/- 0.000 Inclination: 7.92301 +/- 0.000 Eccentricity: 0.30941130 +/- 0.0000 Semi-Major Axis: 48.19381253 +/- 0.0038 Time of Perihelion: 2463688.3362 +/- 13.2 Perihelion: 33.28210240 +/- 0.0031 Aphelion: 63.10552265 +/- 0.0052 Period (y) 334.5763 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.81479030 +/- 0.0005 Ecliptic Y -6.27588209 +/- 0.0001 Ecliptic Z -1.13816111 +/- 0.0000 Ecliptic XDOT 0.00116362 +/- 0.0000 Ecliptic YDOT -0.00285682 +/- 0.0000 Ecliptic ZDOT 0.00042930 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.36337146 +/- 0.0005 Geocenter to KBO 36.38170433 +/- 0.0005 # Hcoef: 7.87
The following table shows the complete astrometric record for 15HP198. 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 (15HP198) followed by the observatory code and reference code for the source of the astrometry.
2004 03 20.539271 12 33 40.56 -05 34 56.5 15HP198 T14 C~83DJ 2013 04 16.336708 13 36 37.533 -09 30 49.66 22.8r 15HP198 W84 C~83DJ 2013 04 16.340877 13 36 37.514 -09 30 49.58 23.2r 15HP198 W84 C~83DJ 2013 04 16.342939 13 36 37.504 -09 30 49.40 23.3r 15HP198 W84 C~83DJ 2013 04 16.351296 13 36 37.458 -09 30 49.32 22.7r 15HP198 W84 C~83DJ 2013 04 18.183710 13 36 27.901 -09 29 48.74 23.1r 15HP198 W84 C~83DJ 2013 04 18.187865 13 36 27.885 -09 29 48.70 23.0r 15HP198 W84 C~83DJ 2013 04 18.192009 13 36 27.863 -09 29 48.58 23.0r 15HP198 W84 C~83DJ 2013 04 18.196176 13 36 27.844 -09 29 48.48 23.3r 15HP198 W84 C~83DJ 2014 04 23.019362 13 43 50.24 -09 54 17.0 15HP198 W84 C~83DJ 2014 04 23.032130 13 43 50.18 -09 54 16.5 15HP198 W84 C~83DJ 2014 04 24.041702 13 43 44.900 -09 53 43.92 22.7R 15HP198 W84 C~83DJ 2014 04 24.051308 13 43 44.845 -09 53 43.38 22.7R 15HP198 W84 C~83DJ 2014 04 25.037874 13 43 39.691 -09 53 11.70 22.8R 15HP198 W84 C~83DJ 2014 04 25.041025 13 43 39.667 -09 53 11.59 22.9R 15HP198 W84 C~83DJ 2014 04 25.044207 13 43 39.658 -09 53 11.41 22.7R 15HP198 W84 C~83DJ 2014 04 25.047371 13 43 39.629 -09 53 11.38 22.5R 15HP198 W84 C~83DJ 2014 04 25.050576 13 43 39.621 -09 53 11.31 22.8R 15HP198 W84 C~83DJ 2015 04 18.34975 13 52 09.39 -10 23 33.4 15HP198 W84 C~2zsR 2015 04 19.33669 13 52 04.16 -10 23 01.6 23.5V 15HP198 W84 C~2zsR 2015 04 21.33771 13 51 53.58 -10 21 57.2 15HP198 W84 C~2zsR 2015 04 22.33713 13 51 48.27 -10 21 25.0 15HP198 W84 C~2zsR 2016 03 06.259890 14 03 20.989 -11 09 42.68 23.4R 15HP198 W84 C~83DJ 2016 03 13.239992 14 02 56.826 -11 07 01.27 22.6z 15HP198 W84 C~83DJ 2016 03 13.255161 14 02 56.773 -11 07 01.02 22.7Y 15HP198 W84 C~83DJ 2016 05 01.131363 13 58 57.636 -10 42 37.76 23.1R 15HP198 W84 C~83DK 2016 05 01.134543 13 58 57.603 -10 42 37.77 23.3R 15HP198 W84 C~83DK 2016 05 01.137750 13 58 57.591 -10 42 37.62 23.5R 15HP198 W84 C~83DK 2016 05 01.140912 13 58 57.567 -10 42 37.51 23.2R 15HP198 W84 C~83DK 2019 02 27.352598 14 28 05.88 -12 25 38.3 15HP198 W84 C~83DK 2019 04 02.21862 14 26 09.93 -12 12 54.5 23.5V 15HP198 W84 C~81Dm 2019 04 02.22033 14 26 09.92 -12 12 54.3 15HP198 W84 C~81Dm 2019 04 02.40073 14 26 09.04 -12 12 49.6 15HP198 W84 C~81Dm 2019 04 02.40246 14 26 09.04 -12 12 49.3 15HP198 W84 C~81Dm 2019 04 03.20992 14 26 05.25 -12 12 26.8 15HP198 W84 C~81Dm 2019 04 03.21339 14 26 05.22 -12 12 26.5 15HP198 W84 C~81Dm 2019 04 03.40177 14 26 04.31 -12 12 21.0 15HP198 W84 C~81Dm 2019 04 04.21448 14 26 00.44 -12 11 58.3 15HP198 W84 C~81Dm 2019 04 04.33535 14 25 59.85 -12 11 54.7 15HP198 W84 C~81Dm 2019 04 04.35634 14 25 59.73 -12 11 54.2 15HP198 W84 C~81Dm 2019 04 04.36497 14 25 59.70 -12 11 53.8 15HP198 W84 C~81Dm 2019 05 05.04255 14 23 17.61 -11 56 37.3 23.3V 15HP198 W84 C~81Dm 2019 05 06.04031 14 23 12.20 -11 56 07.8 15HP198 W84 C~81Dm 2019 05 06.04377 14 23 12.18 -11 56 07.8 15HP198 W84 C~81Dm 2019 05 06.05241 14 23 12.14 -11 56 07.4 15HP198 W84 C~81Dm 2019 05 06.06451 14 23 12.08 -11 56 06.9 15HP198 W84 C~81Dm 2019 05 06.06795 14 23 12.07 -11 56 06.7 15HP198 W84 C~81Dm 2019 05 06.06968 14 23 12.06 -11 56 06.8 15HP198 W84 C~81Dm 2019 05 06.07490 14 23 12.04 -11 56 06.5 15HP198 W84 C~81Dm 2019 05 06.08352 14 23 11.98 -11 56 06.5 15HP198 W84 C~81Dm 2019 05 06.10768 14 23 11.84 -11 56 05.8 15HP198 W84 C~81Dm 2019 05 06.11113 14 23 11.82 -11 56 05.7 15HP198 W84 C~81Dm 2019 05 06.11977 14 23 11.78 -11 56 05.4 15HP198 W84 C~81Dm 2019 05 06.13181 14 23 11.71 -11 56 05.2 15HP198 W84 C~81Dm 2019 05 06.15079 14 23 11.61 -11 56 04.7 15HP198 W84 C~81Dn 2019 05 06.15250 14 23 11.59 -11 56 04.5 15HP198 W84 C~81Dn 2019 05 06.15422 14 23 11.59 -11 56 04.5 15HP198 W84 C~81Dn 2019 05 06.15595 14 23 11.58 -11 56 04.4 15HP198 W84 C~81Dn 2019 05 06.15767 14 23 11.57 -11 56 04.3 15HP198 W84 C~81Dn 2019 05 06.18347 14 23 11.43 -11 56 03.5 15HP198 W84 C~81Dn 2019 05 06.18520 14 23 11.42 -11 56 03.6 15HP198 W84 C~81Dn 2019 05 06.18864 14 23 11.40 -11 56 03.5 15HP198 W84 C~81Dn 2019 05 06.19037 14 23 11.39 -11 56 03.5 15HP198 W84 C~81Dn 2019 05 06.19208 14 23 11.37 -11 56 03.3 15HP198 W84 C~81Dn 2019 05 06.19380 14 23 11.37 -11 56 03.3 15HP198 W84 C~81Dn 2019 05 08.04220 14 23 01.41 -11 55 09.0 23.4V 15HP198 W84 C~81Dn 2019 05 08.04392 14 23 01.40 -11 55 09.0 23.4V 15HP198 W84 C~81Dn 2019 07 15.097592 14 19 10.99 -11 35 32.1 15HP198 W84 C~83DK 2021 05 08.045410 14 39 51.81 -12 41 49.2 15HP198 W84 C~83DK 2021 05 08.170891 14 39 51.11 -12 41 45.4 15HP198 W84 C~83DK
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 0.03 0.00 0.08
2 9.0727 0.00 -0.09 0.00 -0.03
3 9.0727 0.00 -0.04 0.00 -0.08
4 9.0727 0.00 -0.03 0.00 0.03
5 9.0727 0.00 -0.06 0.00 -0.17
6 9.0777 0.00 -0.10 0.00 0.08
7 9.0778 0.00 -0.00 0.00 -0.02
8 9.0778 0.00 -0.00 0.00 -0.03
9 9.0778 0.00 0.04 0.00 -0.07
10 10.0903 0.00 -0.05 0.00 -0.07
11 10.0903 0.00 0.06 0.00 0.02
12 10.0931 0.00 0.13 0.00 -0.08
13 10.0931 0.00 0.06 0.00 0.15
14 10.0958 0.00 0.03 0.00 -0.02
15 10.0958 0.00 -0.08 0.00 -0.01
16 10.0958 0.00 0.04 0.00 0.06
17 10.0958 0.00 -0.15 0.00 -0.01
18 10.0959 0.00 -0.02 0.00 -0.04
19 11.0768 0.00 -0.01 0.00 0.15
20 11.0795 0.00 -0.04 0.00 0.10
21 11.0850 0.00 0.38 0.00 -0.05
22 11.0877 0.00 0.17 0.00 -0.03
23 11.9609 0.00 -0.17 0.00 -0.02
24 11.9800 0.00 -0.15 0.00 -0.02
25 11.9801 0.00 -0.07 0.00 -0.14
26 12.1139 0.00 0.16 0.00 0.03
27 12.1139 0.00 -0.08 0.00 -0.07
28 12.1139 0.00 -0.00 0.00 -0.02
29 12.1139 0.00 -0.11 0.00 -0.01
30 14.9399 0.00 0.11 0.00 0.16
31 15.0327 0.00 0.06 0.00 0.05
32 15.0327 0.00 0.03 0.00 0.20
33 15.0332 0.00 -0.19 0.00 -0.18
34 15.0332 0.00 -0.07 0.00 0.07
35 15.0354 0.00 0.15 0.00 -0.15
36 15.0354 0.00 -0.05 0.00 0.05
37 15.0359 0.00 0.01 0.00 0.21
38 15.0381 0.00 0.07 0.00 -0.14
39 15.0385 0.00 0.12 0.00 0.02
40 15.0385 0.00 -0.14 0.00 -0.08
41 15.0385 0.00 0.04 0.00 0.07
42 15.1225 0.00 -0.15 0.00 -0.02
43 15.1253 0.00 -0.19 0.00 -0.01
44 15.1253 0.00 -0.21 0.00 -0.11
45 15.1253 0.00 -0.10 0.00 0.04
46 15.1253 0.00 -0.00 0.00 0.18
47 15.1253 0.00 0.13 0.00 0.28
48 15.1253 0.00 0.12 0.00 0.13
49 15.1254 0.00 0.25 0.00 0.28
50 15.1254 0.00 0.06 0.00 0.02
51 15.1254 0.00 -0.04 0.00 0.02
52 15.1255 0.00 -0.06 0.00 0.01
53 15.1255 0.00 0.05 0.00 0.06
54 15.1255 0.00 -0.00 0.00 -0.09
55 15.1256 0.00 0.07 0.00 -0.15
56 15.1256 0.00 -0.09 0.00 -0.00
57 15.1256 0.00 0.05 0.00 -0.05
58 15.1256 0.00 0.04 0.00 -0.00
59 15.1256 0.00 0.03 0.00 0.05
60 15.1257 0.00 0.07 0.00 0.09
61 15.1257 0.00 0.06 0.00 -0.07
62 15.1257 0.00 0.04 0.00 -0.07
63 15.1257 0.00 0.04 0.00 -0.12
64 15.1257 0.00 -0.12 0.00 0.03
65 15.1257 0.00 0.02 0.00 -0.02
66 15.1307 0.00 -0.00 0.00 0.05
67 15.1307 0.00 -0.01 0.00 0.00
68 15.3171 0.00 -0.20 0.00 -0.05
69 17.1321 0.00 -0.09 0.00 -0.31
70 17.1325 0.00 -0.04 0.00 -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.
15HP198 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.516 47.516 47.516 ecceobj 0.303 0.303 0.303 incobj 7.957 7.957 7.957 qmin 32.449 32.455 32.399 qmax 64.100 64.185 64.226 amean 47.796 47.796 47.796 amin 47.151 47.154 47.133 amax 48.565 48.563 48.581 emean 0.299 0.298 0.299 emin 0.277 0.275 0.275 emax 0.322 0.322 0.323 imean 9.351 9.438 9.377 imin 8.174 8.174 8.174 imax 10.222 10.454 10.345 excite_mean 0.341 0.341 0.341 fracstop 1.000 1.000 1.000 cjmean 3.002 3.002 3.002 libcent 0 266.8 268.5 269.5 libamp 0 62.6 60.0 59.5 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 192.7 188.7 182.7 kozaiamp 180.0 139.2 138.6