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: 15GA56
# Created Sun Nov 24 02:10:16 2024
# Orbit generated from Bernstein formalism
# Fitting 35 observations of 35
# Arc: 2.34y
# First observation: 2015/02/17
# Last observation: 2017/06/22
Preliminary a, adot, b, bdot, g, gdot:
-0.000038 0.015664 -0.000001 0.003989 0.019458 0.000000
# Chi-squared of fit: 7.42 DOF: 64 RMS: 0.08
# Min/Max residuals: -0.22 0.19
# Exact a, adot, b, bdot, g, gdot:
1.255860E-05 1.561933E-02 2.782208E-06 3.955160E-03 1.944120E-02 -4.915075E-03
# Covariance matrix:
2.2383E-13 7.7546E-15 -1.6947E-14 7.5927E-14 2.2791E-13 1.1009E-11
7.7546E-15 1.8118E-13 -1.2884E-14 5.8358E-14 1.5960E-13 8.4741E-12
-1.6947E-14 -1.2884E-14 9.9132E-14 -9.8245E-14 -3.4323E-14 -2.6142E-12
7.5927E-14 5.8358E-14 -9.8245E-14 2.0404E-13 1.5591E-13 1.2293E-11
2.2791E-13 1.5960E-13 -3.4323E-14 1.5591E-13 4.1564E-13 2.2648E-11
1.1009E-11 8.4741E-12 -2.6142E-12 1.2293E-11 2.2648E-11 1.7939E-09
# lat0 lon0 xBary yBary zBary JD0
2.466671 -157.474893 0.799453 0.024927 -0.575374 2457071.068908
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 285.67251 +/- 0.364
Argument of Peri: 119.10984 +/- 0.144
Long of Asc Node: 192.15023 +/- 0.001
Inclination: 14.48245 +/- 0.001
Eccentricity: 0.30371465 +/- 0.0023
Semi-Major Axis: 51.55138670 +/- 0.0777
Time of Perihelion: 2484983.4610 +/- 121.3
Perihelion: 35.89447523 +/- 0.1282
Aphelion: 67.20829817 +/- 0.1541
Period (y) 370.1423 +/- 0.84
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -48.31007911 +/- 0.0016
Ecliptic Y -19.16886382 +/- 0.0006
Ecliptic Z 2.21390707 +/- 0.0001
Ecliptic XDOT 0.00149992 +/- 0.0000
Ecliptic YDOT -0.00176329 +/- 0.0000
Ecliptic ZDOT 0.00052678 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 52.02125016 +/- 0.0015
Geocenter to KBO 51.43714444 +/- 0.0017
# Hcoef: 7.35
The following table shows the complete astrometric record for 15GA56. 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 (15GA56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.56813 13 27 01.136 -06 28 27.11 24.5r 15GA56 568 C~2lVD 2015 02 17.60905 13 27 01.049 -06 28 26.53 24.4r 15GA56 568 C~2lVD 2015 02 20.60184 13 26 55.261 -06 27 37.15 24.6r 15GA56 568 C~2lVD 2015 03 18.54653 13 25 44.951 -06 18 44.40 24.4r 15GA56 568 C~2lVD 2015 03 18.58746 13 25 44.805 -06 18 43.50 24.4r 15GA56 568 C~2lVD 2015 03 20.55033 13 25 38.312 -06 17 57.34 24.5r 15GA56 568 C~2lVD 2015 04 11.49722 13 24 19.788 -06 09 00.35 24.4r 15GA56 568 C~2lVD 2015 04 13.36151 13 24 12.873 -06 08 14.43 24.4r 15GA56 568 C~2lVD 2015 04 13.40245 13 24 12.714 -06 08 13.38 24.8r 15GA56 568 C~2lVD 2015 04 13.48799 13 24 12.403 -06 08 11.64 24.1r 15GA56 568 C~2lVD 2015 04 13.50003 13 24 12.344 -06 08 11.02 24.8r 15GA56 568 C~2lVD 2015 04 13.50498 13 24 12.328 -06 08 10.91 24.4r 15GA56 568 C~2lVD 2015 04 19.40228 13 23 50.498 -06 05 47.29 24.6r 15GA56 568 C~2lVD 2015 05 18.27664 13 22 12.472 -05 55 23.28 24.4r 15GA56 568 C~2lVD 2015 05 18.32493 13 22 12.326 -05 55 22.40 24.7r 15GA56 568 C~2lVD 2015 06 20.27498 13 21 03.759 -05 48 33.19 24.6r 15GA56 568 C~2lVD 2015 06 20.31583 13 21 03.704 -05 48 32.97 24.6r 15GA56 568 C~2lVD 2015 06 22.31959 13 21 01.639 -05 48 21.71 25.1r 15GA56 568 C~2lVD 2015 07 20.26475 13 21 01.793 -05 48 43.59 24.8r 15GA56 568 C~2lVD 2016 02 04.54302 13 31 01.605 -06 38 40.65 24.8w 15GA56 568 C~2lVD 2016 02 10.53099 13 30 55.108 -06 37 28.79 24.9w 15GA56 568 C~2lVD 2016 03 11.52813 13 29 48.425 -06 28 24.91 24.8w 15GA56 568 C~2lVD 2016 03 17.46439 13 29 29.801 -06 26 09.85 25.2w 15GA56 568 C~2lVD 2016 04 03.41700 13 28 30.713 -06 19 20.08 24.6w 15GA56 568 C~2lVD 2016 04 09.39673 13 28 08.597 -06 16 51.97 24.5w 15GA56 568 C~2lVD 2016 05 01.35239 13 26 47.952 -06 08 09.31 23.9w 15GA56 568 C~2lVD 2016 05 02.29500 13 26 44.647 -06 07 48.42 24.5w 15GA56 568 C~2lVD 2016 05 06.30476 13 26 30.811 -06 06 21.75 24.3w 15GA56 568 C~2lVD 2016 05 28.26791 13 25 25.284 -05 59 41.40 24.2w 15GA56 568 C~2lVD 2016 05 28.27195 13 25 25.277 -05 59 41.39 24.1w 15GA56 568 C~2lVD 2016 06 04.34936 13 25 08.961 -05 58 05.61 24.5w 15GA56 568 C~2lVD 2016 06 04.35340 13 25 08.954 -05 58 05.46 24.6w 15GA56 568 C~2lVD 2016 06 27.27271 13 24 36.954 -05 55 10.28 24.6w 15GA56 568 C~2lVD 2016 07 06.30847 13 24 33.948 -05 55 01.70 24.8w 15GA56 568 C~2lVD 2017 06 22.27110 13 28 23.860 -06 02 42.64 24.7w 15GA56 568 C~2lVD
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 0.09
2 0.0001 -1.42 -0.07 0.06 -0.03
3 0.0083 -99.83 -0.01 14.04 0.06
4 0.0793 -1270.70 0.04 121.05 0.02
5 0.0795 -1273.06 -0.07 121.08 -0.08
6 0.0848 -1380.08 -0.05 128.11 -0.01
7 0.1449 -2666.76 -0.00 192.79 0.04
8 0.1500 -2779.58 -0.04 197.17 0.03
9 0.1501 -2782.18 -0.12 197.26 0.04
10 0.1504 -2787.13 0.19 197.16 -0.22
11 0.1504 -2788.18 -0.12 197.41 0.00
12 0.1504 -2788.44 -0.08 197.42 0.01
13 0.1666 -3144.15 0.18 209.95 0.00
14 0.2456 -4734.21 0.07 246.00 0.03
15 0.2457 -4736.57 0.06 246.01 0.03
16 0.3360 -5839.21 0.07 245.10 0.04
17 0.3361 -5840.06 -0.03 245.00 -0.03
18 0.3416 -5872.87 -0.18 243.98 -0.01
19 0.4181 -5862.59 0.08 224.52 -0.10
20 0.9637 3557.41 -0.07 751.60 0.03
21 0.9800 3440.92 0.16 782.80 -0.00
22 1.0622 2316.53 0.18 922.51 0.02
23 1.0784 2008.66 -0.09 945.74 0.08
24 1.1248 1038.73 -0.08 1001.67 -0.00
25 1.1412 677.60 -0.10 1017.57 -0.03
26 1.2013 -633.02 0.01 1058.77 0.11
27 1.2039 -686.55 0.05 1059.94 0.11
28 1.2149 -910.33 0.07 1064.12 -0.10
29 1.2750 -1966.60 -0.05 1074.14 -0.07
30 1.2750 -1966.70 0.02 1074.11 -0.10
31 1.2944 -2228.30 0.00 1072.89 -0.07
32 1.2944 -2228.45 -0.01 1072.99 0.04
33 1.3572 -2736.88 0.12 1058.71 0.13
34 1.3819 -2781.72 -0.09 1050.04 -0.03
35 2.3428 575.54 -0.06 1890.98 -0.03
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.
15GA56 quality flag:2 Type: SCATNEAR 9:4EEEEE SCATNEAR axisobj 51.105 51.322 50.894 ecceobj 0.307 0.314 0.301 incobj 14.569 14.568 14.570 qmin 35.045 34.788 35.177 qmax 68.738 69.562 68.306 amean 51.467 51.700 51.364 amin 50.927 51.038 50.755 amax 52.119 52.501 52.048 emean 0.302 0.314 0.297 emin 0.286 0.299 0.281 emax 0.319 0.327 0.314 imean 15.071 14.643 15.047 imin 14.316 14.360 14.233 imax 15.780 15.061 15.582 excite_mean 0.398 0.403 0.394 fracstop 1.000 1.000 1.000 cjmean 2.992 2.989 2.995 libcent 0 -180.0 175.3 -180.0 libamp 0 -180.0 146.9 -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 187.4 179.5 183.4 kozaiamp 180.0 180.0 180.0