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: 15GD56
# Created Fri Apr 19 01:17:18 2024
# Orbit generated from Bernstein formalism
# Fitting 38 observations of 38
# Arc: 2.35y
# First observation: 2015/02/17
# Last observation: 2017/06/24
Preliminary a, adot, b, bdot, g, gdot:
-0.000157 0.026902 0.000012 0.002626 0.024263 0.000000
# Chi-squared of fit: 7.74 DOF: 70 RMS: 0.08
# Min/Max residuals: -0.29 0.16
# Exact a, adot, b, bdot, g, gdot:
1.717693E-05 2.694538E-02 1.619177E-06 2.649977E-03 2.442582E-02 6.420377E-03
# Covariance matrix:
1.4713E-13 1.9888E-15 -3.0281E-15 8.4084E-15 1.1325E-13 1.5164E-12
1.9888E-15 3.5221E-13 -1.1622E-14 4.5951E-14 1.9365E-13 8.5832E-12
-3.0281E-15 -1.1622E-14 7.6685E-14 -6.0759E-14 -9.0244E-15 -3.8035E-13
8.4084E-15 4.5951E-14 -6.0759E-14 9.9994E-14 3.1408E-14 1.5342E-12
1.1325E-13 1.9365E-13 -9.0244E-15 3.1408E-14 2.2564E-13 5.8017E-12
1.5164E-12 8.5832E-12 -3.8035E-13 1.5342E-12 5.8017E-12 2.8703E-10
# lat0 lon0 xBary yBary zBary JD0
2.874502 -154.839828 0.824811 0.027167 -0.538285 2457071.097458
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 16.92593 +/- 0.027
Argument of Peri: 343.82290 +/- 0.079
Long of Asc Node: 177.43009 +/- 0.003
Inclination: 6.31706 +/- 0.001
Eccentricity: 0.41787414 +/- 0.0006
Semi-Major Axis: 65.65275916 +/- 0.0389
Time of Perihelion: 2447935.0907 +/- 12.0
Perihelion: 38.21816877 +/- 0.0439
Aphelion: 93.08734956 +/- 0.0668
Period (y) 531.9707 +/- 0.47
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.85057519 +/- 0.0007
Ecliptic Y -16.86649118 +/- 0.0003
Ecliptic Z 2.05316244 +/- 0.0000
Ecliptic XDOT 0.00064335 +/- 0.0000
Ecliptic YDOT -0.00303852 +/- 0.0000
Ecliptic ZDOT 0.00033284 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.48927624 +/- 0.0007
Geocenter to KBO 40.94027574 +/- 0.0008
# Hcoef: 7.76
The following table shows the complete astrometric record for 15GD56. 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 (15GD56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.59668 13 37 29.180 -07 03 32.52 24.0r 15GD56 568 C~2lVD 2015 02 17.63771 13 37 29.096 -07 03 31.93 23.8r 15GD56 568 C~2lVD 2015 02 20.63083 13 37 23.107 -07 02 40.70 23.9r 15GD56 568 C~2lVD 2015 03 18.57516 13 36 04.670 -06 53 02.62 23.8r 15GD56 568 C~2lVD 2015 03 18.62254 13 36 04.489 -06 53 01.31 23.9r 15GD56 568 C~2lVD 2015 03 20.57938 13 35 56.967 -06 52 10.33 24.1r 15GD56 568 C~2lVD 2015 04 11.51365 13 34 24.397 -06 42 07.45 23.9r 15GD56 568 C~2lVD 2015 04 13.37789 13 34 16.135 -06 41 15.60 23.8r 15GD56 568 C~2lVD 2015 04 13.41891 13 34 15.938 -06 41 14.44 23.7r 15GD56 568 C~2lVD 2015 04 13.42365 13 34 15.911 -06 41 14.33 23.8r 15GD56 568 C~2lVD 2015 04 13.42846 13 34 15.895 -06 41 14.18 23.8r 15GD56 568 C~2lVD 2015 04 13.43331 13 34 15.878 -06 41 13.96 23.9r 15GD56 568 C~2lVE 2015 04 13.43815 13 34 15.860 -06 41 13.97 24.0r 15GD56 568 C~2lVE 2015 04 13.52145 13 34 15.483 -06 41 11.65 23.9r 15GD56 568 C~2lVE 2015 04 19.48929 13 33 48.924 -06 38 26.98 23.9r 15GD56 568 C~2lVE 2015 04 19.53630 13 33 48.713 -06 38 25.74 23.8r 15GD56 568 C~2lVE 2015 04 19.56015 13 33 48.587 -06 38 25.23 24.0r 15GD56 568 C~2lVE 2015 05 18.34130 13 31 49.997 -06 26 45.22 23.8r 15GD56 568 C~2lVE 2015 06 20.29133 13 30 25.736 -06 19 30.29 23.6r 15GD56 568 C~2lVE 2015 06 20.33212 13 30 25.684 -06 19 30.01 23.4r 15GD56 568 C~2lVE 2015 06 22.33610 13 30 23.151 -06 19 20.48 24.0r 15GD56 568 C~2lVE 2015 07 14.28829 13 30 17.838 -06 19 51.72 24.0r 15GD56 568 C~2lVE 2015 07 20.28135 13 30 23.697 -06 20 44.02 24.4r 15GD56 568 C~2lVE 2016 02 04.58367 13 43 44.559 -07 31 13.18 24.4w 15GD56 568 C~2lVE 2016 02 10.57151 13 43 39.462 -07 30 07.39 24.2w 15GD56 568 C~2lVE 2016 02 10.61301 13 43 39.414 -07 30 06.97 24.1w 15GD56 568 C~2lVE 2016 03 11.56297 13 42 29.892 -07 20 48.77 23.5w 15GD56 568 C~2lVE 2016 04 03.44935 13 41 00.697 -07 10 53.73 24.0w 15GD56 568 C~2lVE 2016 04 09.43049 13 40 34.670 -07 08 09.35 24.0w 15GD56 568 C~2lVE 2016 05 01.45743 13 38 57.920 -06 58 24.12 24.2w 15GD56 568 C~2lVE 2016 05 07.33487 13 38 33.385 -06 56 01.88 24.2w 15GD56 568 C~2lVE 2016 05 29.33959 13 37 14.131 -06 48 44.60 24.3w 15GD56 568 C~2lVE 2016 06 04.40200 13 36 57.022 -06 47 17.08 24.4w 15GD56 568 C~2lVE 2016 06 27.34644 13 36 16.728 -06 44 22.38 24.4w 15GD56 568 C~2lVE 2016 07 07.33613 13 36 12.615 -06 44 28.94 24.1w 15GD56 568 C~2lVE 2017 03 29.51368 13 47 22.886 -07 37 58.89 24.4w 15GD56 568 C~2lVE 2017 03 30.48302 13 47 18.903 -07 37 33.07 24.2w 15GD56 568 C~2lVE 2017 06 24.30392 13 42 16.102 -07 09 18.17 24.2w 15GD56 568 C~2lVE
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 0.06 0.00 0.02
2 0.0001 -1.38 0.04 0.10 -0.08
3 0.0083 -103.05 -0.01 15.49 -0.07
4 0.0793 -1401.14 -0.01 129.98 -0.04
5 0.0795 -1404.13 -0.01 130.22 0.04
6 0.0848 -1527.02 -0.29 136.99 -0.18
7 0.1449 -3030.89 0.05 196.76 0.05
8 0.1500 -3164.44 0.16 200.21 0.03
9 0.1501 -3167.59 -0.00 200.22 -0.01
10 0.1501 -3168.01 -0.07 200.18 -0.06
11 0.1501 -3168.29 0.00 200.23 -0.01
12 0.1501 -3168.60 0.04 200.34 0.09
13 0.1501 -3168.85 0.15 200.24 -0.02
14 0.1504 -3174.93 0.15 200.35 -0.02
15 0.1667 -3603.53 0.01 209.48 0.09
16 0.1668 -3606.91 0.04 209.49 0.05
17 0.1669 -3608.85 -0.16 209.28 -0.18
18 0.2457 -5510.63 0.08 215.91 0.01
19 0.3359 -6839.94 -0.09 161.20 0.08
20 0.3360 -6840.77 -0.03 161.18 0.16
21 0.3415 -6879.44 -0.03 156.22 0.01
22 0.4016 -6941.78 0.02 98.11 0.06
23 0.4180 -6841.23 -0.07 81.42 -0.01
24 0.9637 5809.47 0.09 468.87 -0.00
25 0.9801 5715.01 -0.10 503.02 0.04
26 0.9802 5714.20 -0.03 503.15 -0.04
27 1.0622 4547.78 -0.08 651.76 0.01
28 1.1249 3094.80 0.04 728.12 0.04
29 1.1412 2674.14 0.04 741.52 0.05
30 1.2015 1119.56 0.01 766.25 0.00
31 1.2176 727.52 0.02 766.53 0.01
32 1.2779 -531.00 -0.04 746.10 0.02
33 1.2945 -800.22 -0.10 735.16 -0.11
34 1.3573 -1422.91 0.06 679.93 -0.13
35 1.3846 -1477.60 0.03 651.55 0.16
36 2.1107 8989.61 -0.00 1255.05 -0.09
37 2.1133 8924.95 -0.01 1257.97 0.03
38 2.3483 4107.37 0.03 1222.16 -0.01
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.
15GD56 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 64.574 64.688 64.460 ecceobj 0.409 0.410 0.407 incobj 6.342 6.342 6.341 qmin 37.468 37.352 37.529 qmax 94.177 95.027 93.918 amean 65.134 65.335 65.054 amin 64.364 64.479 64.214 amax 66.172 66.520 66.099 emean 0.412 0.416 0.411 emin 0.402 0.404 0.400 emax 0.423 0.429 0.422 imean 5.994 5.851 6.015 imin 5.729 5.300 5.745 imax 6.240 6.254 6.242 excite_mean 0.425 0.428 0.424 fracstop 1.000 1.000 1.000 cjmean 3.128 3.126 3.128 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 180.6 164.1 177.8 kozaiamp 180.0 180.0 180.0