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: 15GQ57
# Created Wed May 8 01:17:05 2024
# Orbit generated from Bernstein formalism
# Fitting 34 observations of 34
# Arc: 2.34y
# First observation: 2015/02/20
# Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000094 0.024619 0.000001 0.000006 0.024306 0.000000
# Chi-squared of fit: 9.63 DOF: 62 RMS: 0.09
# Min/Max residuals: -0.20 0.22
# Exact a, adot, b, bdot, g, gdot:
1.583416E-05 2.447011E-02 -1.394939E-07 6.099205E-06 2.430686E-02 -1.489587E-03
# Covariance matrix:
1.8027E-13 -5.7319E-15 -4.2536E-16 2.2288E-16 1.2359E-13 1.6088E-12
-5.7319E-15 3.0224E-13 -6.7948E-16 6.3778E-16 1.8967E-13 7.4962E-12
-4.2536E-16 -6.7948E-16 1.0097E-13 -6.5790E-14 -8.5107E-16 -2.0928E-14
2.2288E-16 6.3778E-16 -6.5790E-14 7.4350E-14 5.9436E-16 2.0662E-14
1.2359E-13 1.8967E-13 -8.5107E-16 5.9436E-16 2.4320E-13 5.8139E-12
1.6088E-12 7.4962E-12 -2.0928E-14 2.0662E-14 5.8139E-12 2.4869E-10
# lat0 lon0 xBary yBary zBary JD0
0.933148 -152.845518 0.815351 0.009160 -0.554124 2457074.098478
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 319.10227 +/- 0.173
Argument of Peri: 138.04210 +/- 0.245
Long of Asc Node: 117.99490 +/- 0.040
Inclination: 0.92106 +/- 0.000
Eccentricity: 0.10951250 +/- 0.0005
Semi-Major Axis: 45.18258115 +/- 0.0057
Time of Perihelion: 2469672.8528 +/- 53.2
Perihelion: 40.23452381 +/- 0.0239
Aphelion: 50.13063849 +/- 0.0242
Period (y) 303.7140 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.46921170 +/- 0.0007
Ecliptic Y -18.30118890 +/- 0.0004
Ecliptic Z 0.67000937 +/- 0.0000
Ecliptic XDOT 0.00140357 +/- 0.0000
Ecliptic YDOT -0.00238147 +/- 0.0000
Ecliptic ZDOT -0.00000195 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.70520654 +/- 0.0007
Geocenter to KBO 41.14065128 +/- 0.0008
# Hcoef: 8.35
The following table shows the complete astrometric record for 15GQ57. 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 (15GQ57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 20.59770 13 42 10.154 -09 35 19.68 24.5r 15GQ57 568 C~2nvW 2015 03 18.50144 13 40 50.708 -09 27 19.98 25.0r 15GQ57 568 C~2nvW 2015 03 18.54235 13 40 50.557 -09 27 19.19 25.7r 15GQ57 568 C~2nvW 2015 03 20.54594 13 40 42.735 -09 26 32.94 24.8r 15GQ57 568 C~2nvW 2015 04 11.48071 13 39 07.904 -09 17 20.32 24.2r 15GQ57 568 C~2nvW 2015 04 12.38760 13 39 03.764 -09 16 56.24 24.5r 15GQ57 568 C~2nvW 2015 04 12.43323 13 39 03.533 -09 16 55.16 24.7r 15GQ57 568 C~2nvW 2015 04 12.47547 13 39 03.338 -09 16 53.96 24.3r 15GQ57 568 C~2nvW 2015 04 18.44608 13 38 35.977 -09 14 16.50 24.4r 15GQ57 568 C~2nvW 2015 04 18.49382 13 38 35.741 -09 14 15.03 24.1r 15GQ57 568 C~2nvW 2015 05 17.25497 13 36 31.288 -09 02 29.73 24.4r 15GQ57 568 C~2nvW 2015 05 25.39688 13 36 01.615 -08 59 45.11 24.1r 15GQ57 568 C~2nvW 2015 06 21.34643 13 34 53.883 -08 53 43.77 24.4r 15GQ57 568 C~2nvW 2015 06 22.30309 13 34 52.501 -08 53 37.03 24.8r 15GQ57 568 C~2nvW 2015 07 12.29701 13 34 41.186 -08 52 59.23 24.7r 15GQ57 568 C~2nvW 2015 07 19.28682 13 34 45.508 -08 53 34.24 24.6r 15GQ57 568 C~2nvW 2016 02 04.62644 13 47 51.849 -10 07 50.19 24.5w 15GQ57 568 C~2nvW 2016 02 04.63139 13 47 51.824 -10 07 50.34 24.9w 15GQ57 568 C~2nvW 2016 02 11.60966 13 47 45.417 -10 07 04.36 24.9w 15GQ57 568 C~2nvW 2016 03 11.60894 13 46 35.278 -09 59 56.38 24.7w 15GQ57 568 C~2nvW 2016 04 03.48576 13 45 03.455 -09 51 03.61 24.7w 15GQ57 568 C~2nvX 2016 04 09.46692 13 44 36.529 -09 48 29.86 24.8w 15GQ57 568 C~2nvX 2016 05 02.35585 13 42 52.081 -09 38 39.88 24.8w 15GQ57 568 C~2nvX 2016 05 07.35921 13 42 30.252 -09 36 37.92 24.7w 15GQ57 568 C~2nvX 2016 05 29.33148 13 41 06.379 -09 28 56.75 24.8w 15GQ57 568 C~2nvX 2016 06 04.39391 13 40 47.899 -09 27 17.64 24.8w 15GQ57 568 C~2nvX 2016 06 27.31561 13 40 02.457 -09 23 26.48 24.8w 15GQ57 568 C~2nvX 2016 07 07.31185 13 39 56.152 -09 23 04.45 24.5w 15GQ57 568 C~2nvX 2017 02 27.64549 13 52 35.844 -10 33 40.18 15GQ57 568 C~2nvX 2017 03 30.51590 13 50 47.094 -10 23 10.64 24.2w 15GQ57 568 C~2nvX 2017 03 31.45116 13 50 43.075 -10 22 47.75 24.6w 15GQ57 568 C~2nvX 2017 05 24.25622 13 46 47.624 -10 01 02.95 24.5w 15GQ57 568 C~2nvX 2017 06 25.27303 13 45 24.616 -09 53 51.72 24.6w 15GQ57 568 C~2nvX 2017 06 25.28243 13 45 24.607 -09 53 51.95 24.9w 15GQ57 568 C~2nvX
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 0.02 0.00 0.03
2 0.0709 -1269.16 -0.15 25.26 -0.01
3 0.0710 -1271.53 0.05 25.20 -0.09
4 0.0765 -1396.17 0.09 26.69 0.00
5 0.1366 -2904.68 0.16 36.27 -0.04
6 0.1391 -2970.54 0.02 36.60 0.10
7 0.1392 -2974.12 -0.19 36.37 -0.11
8 0.1393 -2977.25 -0.20 36.45 -0.02
9 0.1556 -3411.95 0.22 36.98 0.04
10 0.1558 -3415.74 -0.03 37.09 0.17
11 0.2345 -5390.06 0.00 27.35 0.04
12 0.2568 -5859.78 -0.05 21.26 0.06
13 0.3306 -6927.13 -0.08 -6.77 -0.01
14 0.3332 -6948.68 0.06 -7.94 -0.03
15 0.3880 -7118.83 -0.04 -33.75 0.04
16 0.4071 -7046.34 0.08 -43.06 0.10
17 0.9556 5414.52 0.05 -19.35 0.12
18 0.9556 5414.23 -0.18 -19.62 -0.15
19 0.9747 5309.39 -0.03 -10.22 0.05
20 1.0541 4188.40 0.12 21.58 -0.02
21 1.1167 2730.47 0.09 35.78 0.10
22 1.1331 2303.78 -0.02 37.28 -0.07
23 1.1958 650.62 -0.06 35.55 -0.19
24 1.2095 305.53 0.03 33.63 -0.06
25 1.2696 -1018.00 0.05 18.38 -0.04
26 1.2862 -1308.78 -0.04 12.49 -0.08
27 1.3490 -2019.39 0.09 -14.02 -0.09
28 1.3764 -2114.38 -0.02 -27.10 -0.12
29 2.0207 9888.85 0.09 10.97 0.03
30 2.1052 8162.53 -0.07 35.27 0.03
31 2.1077 8098.87 -0.02 35.76 0.09
32 2.2551 4382.61 0.13 24.26 -0.02
33 2.3427 3082.65 -0.17 -9.67 0.20
34 2.3427 3082.61 -0.00 -9.94 -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.
15GQ57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.742 44.754 44.730 ecceobj 0.105 0.106 0.104 incobj 0.921 0.921 0.921 qmin 39.623 39.586 39.642 qmax 50.813 50.977 50.714 amean 45.068 45.101 45.053 amin 44.696 44.710 44.688 amax 45.479 45.524 45.453 emean 0.103 0.104 0.102 emin 0.087 0.088 0.087 emax 0.118 0.120 0.116 imean 1.256 1.233 1.244 imin 0.576 0.564 0.563 imax 1.888 1.822 1.876 excite_mean 0.105 0.107 0.105 fracstop 1.000 1.000 1.000 cjmean 3.101 3.101 3.101 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 170.1 167.9 167.3 kozaiamp 179.9 180.0 180.0