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: 15GZ56
# Created Sun Nov 24 02:10:17 2024
# Orbit generated from Bernstein formalism
# Fitting 39 observations of 39
# Arc: 2.10y
# First observation: 2015/02/20
# Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000136 0.020770 0.000001 -0.000189 0.022339 0.000000
# Chi-squared of fit: 4.41 DOF: 72 RMS: 0.06
# Min/Max residuals: -0.21 0.21
# Exact a, adot, b, bdot, g, gdot:
1.450212E-05 2.069550E-02 2.495467E-07 -1.883373E-04 2.244593E-02 1.675877E-03
# Covariance matrix:
1.8717E-13 -2.8422E-14 -6.9183E-17 -6.1106E-16 1.3365E-13 2.2226E-12
-2.8422E-14 2.2661E-13 2.0616E-16 -1.7665E-15 1.2408E-13 5.9904E-12
-6.9183E-17 2.0616E-16 9.0939E-14 -7.2723E-14 4.2775E-17 9.4281E-15
-6.1106E-16 -1.7665E-15 -7.2723E-14 9.9015E-14 -1.7151E-15 -8.2920E-14
1.3365E-13 1.2408E-13 4.2775E-17 -1.7151E-15 2.2210E-13 5.9846E-12
2.2226E-12 5.9904E-12 9.4281E-15 -8.2920E-14 5.9846E-12 2.8145E-10
# lat0 lon0 xBary yBary zBary JD0
0.551702 -154.521364 0.800058 0.005693 -0.576015 2457073.975038
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 102.11735 +/- 0.251
Argument of Peri: 23.50093 +/- 0.244
Long of Asc Node: 71.39910 +/- 0.048
Inclination: 0.74532 +/- 0.001
Eccentricity: 0.06768891 +/- 0.0007
Semi-Major Axis: 44.31734427 +/- 0.0052
Time of Perihelion: 2426503.2717 +/- 75.1
Perihelion: 41.31755145 +/- 0.0331
Aphelion: 47.31713710 +/- 0.0332
Period (y) 295.0318 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.08376658 +/- 0.0008
Ecliptic Y -18.68958940 +/- 0.0004
Ecliptic Z 0.42898692 +/- 0.0000
Ecliptic XDOT 0.00089755 +/- 0.0000
Ecliptic YDOT -0.00237245 +/- 0.0000
Ecliptic ZDOT -0.00002091 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.13713169 +/- 0.0008
Geocenter to KBO 44.55151569 +/- 0.0009
# Hcoef: 6.95
The following table shows the complete astrometric record for 15GZ56. 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 (15GZ56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 20.47426 13 35 16.455 -09 20 19.53 23.4r 15GZ56 568 C~2nvU 2015 03 18.47063 13 33 58.557 -09 12 36.94 23.3r 15GZ56 568 C~2nvU 2015 03 18.47537 13 33 58.550 -09 12 36.87 23.3r 15GZ56 568 C~2nvU 2015 03 18.52182 13 33 58.364 -09 12 35.88 23.5r 15GZ56 568 C~2nvU 2015 03 20.52388 13 33 50.883 -09 11 51.68 22.8r 15GZ56 568 C~2nvU 2015 04 11.41445 13 32 21.345 -09 03 08.91 22.9r 15GZ56 568 C~2nvU 2015 04 12.36711 13 32 17.253 -09 02 45.18 23.4r 15GZ56 568 C~2nvU 2015 04 12.40803 13 32 17.067 -09 02 44.12 23.4r 15GZ56 568 C~2nvU 2015 04 12.45503 13 32 16.867 -09 02 42.96 23.5r 15GZ56 568 C~2nvU 2015 04 14.46499 13 32 08.250 -09 01 52.90 23.1r 15GZ56 568 C~2nvU 2015 04 18.42564 13 31 51.255 -09 00 14.24 23.2r 15GZ56 568 C~2nvU 2015 04 18.47335 13 31 51.042 -09 00 13.07 23.4r 15GZ56 568 C~2nvU 2015 05 16.27210 13 29 59.274 -08 49 29.32 23.3r 15GZ56 568 C~2nvU 2015 05 25.37637 13 29 28.706 -08 46 35.50 23.4r 15GZ56 568 C~2nvU 2015 05 25.43418 13 29 28.522 -08 46 34.50 23.4r 15GZ56 568 C~2nvU 2015 06 21.32593 13 28 27.684 -08 40 57.30 23.6r 15GZ56 568 C~2nvU 2015 06 22.28249 13 28 26.467 -08 40 50.95 23.6r 15GZ56 568 C~2nvU 2015 07 12.27649 13 28 17.492 -08 40 15.71 23.5r 15GZ56 568 C~2nvU 2015 07 15.26670 13 28 18.928 -08 40 26.83 23.8r 15GZ56 568 C~2nvU 2015 07 19.26636 13 28 21.988 -08 40 48.50 23.5r 15GZ56 568 C~2nvU 2016 02 04.60217 13 40 07.983 -09 49 06.75 24.0w 15GZ56 568 C~2nvU 2016 02 10.62117 13 40 01.694 -09 48 27.03 23.8w 15GZ56 568 C~2nvU 2016 02 11.58525 13 40 00.409 -09 48 19.14 23.8w 15GZ56 568 C~2nvU 2016 03 11.58783 13 38 49.916 -09 41 21.17 23.8w 15GZ56 568 C~2nvU 2016 03 11.63454 13 38 49.754 -09 41 20.33 23.8w 15GZ56 568 C~2nvU 2016 03 12.48427 13 38 46.907 -09 41 03.50 23.7w 15GZ56 568 C~2nvU 2016 04 03.46148 13 37 22.366 -09 32 53.51 23.5w 15GZ56 568 C~2nvU 2016 04 09.44264 13 36 57.076 -09 30 27.82 23.7w 15GZ56 568 C~2nvU 2016 05 02.35991 13 35 19.893 -09 21 11.15 23.7w 15GZ56 568 C~2nvU 2016 05 07.36327 13 34 59.798 -09 19 16.69 23.7w 15GZ56 568 C~2nvU 2016 05 28.31243 13 33 46.371 -09 12 22.29 24.0w 15GZ56 568 C~2nvU 2016 05 29.31935 13 33 43.402 -09 12 05.67 23.8w 15GZ56 568 C~2nvU 2016 06 04.38178 13 33 26.761 -09 10 33.28 23.8w 15GZ56 568 C~2nvU 2016 06 27.30147 13 32 46.757 -09 06 58.68 23.8w 15GZ56 568 C~2nvU 2016 06 27.30677 13 32 46.751 -09 06 58.67 23.9w 15GZ56 568 C~2nvU 2016 07 07.30364 13 32 41.858 -09 06 38.88 23.9w 15GZ56 568 C~2nvU 2017 02 24.65166 13 44 02.712 -10 11 50.97 15GZ56 568 C~2nvU 2017 03 29.48748 13 42 14.393 -10 01 26.09 23.8w 15GZ56 568 C~2nvU 2017 03 29.50900 13 42 14.305 -10 01 25.57 23.8w 15GZ56 568 C~2nvU
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 -0.08
2 0.0712 -1242.49 0.01 10.64 0.01
3 0.0712 -1242.61 0.18 10.67 0.04
4 0.0713 -1245.53 0.04 10.58 -0.03
5 0.0768 -1364.80 0.05 11.33 0.21
6 0.1367 -2790.34 0.12 13.51 0.02
7 0.1393 -2855.45 -0.09 13.42 -0.05
8 0.1394 -2858.41 -0.21 13.40 -0.05
9 0.1396 -2861.59 -0.13 13.39 -0.03
10 0.1451 -2998.73 -0.02 13.27 -0.02
11 0.1559 -3269.21 -0.01 12.93 0.04
12 0.1561 -3272.57 -0.07 12.86 0.00
13 0.2322 -5050.26 0.11 4.37 0.02
14 0.2571 -5535.87 0.03 -0.47 0.00
15 0.2572 -5538.78 0.04 -0.55 -0.02
16 0.3309 -6502.40 0.01 -18.89 0.01
17 0.3335 -6521.53 0.02 -19.63 -0.00
18 0.3882 -6658.38 -0.03 -35.89 -0.01
19 0.3964 -6634.46 -0.00 -38.39 -0.01
20 0.4074 -6584.24 -0.03 -41.82 -0.12
21 0.9559 4645.55 -0.00 -47.74 0.06
22 0.9723 4544.47 -0.02 -44.22 0.04
23 0.9750 4523.90 -0.03 -43.71 -0.01
24 1.0544 3400.74 -0.05 -30.27 0.02
25 1.0545 3398.20 -0.05 -30.36 -0.07
26 1.0568 3352.86 0.08 -29.89 0.08
27 1.1170 2009.75 -0.02 -25.79 -0.03
28 1.1334 1608.24 0.01 -25.69 -0.02
29 1.1961 66.18 0.05 -29.56 -0.02
30 1.2098 -252.51 0.00 -31.22 0.07
31 1.2672 -1415.84 -0.04 -41.55 -0.01
32 1.2699 -1462.83 0.06 -42.12 0.04
33 1.2865 -1725.98 -0.07 -46.05 -0.03
34 1.3493 -2355.93 0.02 -62.71 0.02
35 1.3493 -2356.01 0.01 -62.74 0.00
36 1.3767 -2430.71 -0.02 -70.81 -0.05
37 2.0128 8375.33 -0.05 -75.27 -0.01
38 2.1027 6655.79 0.04 -65.35 -0.01
39 2.1028 6654.39 0.04 -65.34 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.
15GZ56 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.911 43.927 43.895 ecceobj 0.069 0.071 0.068 incobj 0.746 0.746 0.746 qmin 40.033 40.009 40.094 qmax 48.584 48.669 48.461 amean 44.184 44.199 44.167 amin 43.826 43.842 43.812 amax 44.562 44.566 44.541 emean 0.074 0.076 0.073 emin 0.058 0.060 0.057 emax 0.091 0.092 0.089 imean 1.063 1.063 1.067 imin 0.198 0.196 0.205 imax 1.683 1.682 1.683 excite_mean 0.077 0.079 0.076 fracstop 1.000 1.000 1.000 cjmean 3.096 3.096 3.097 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 190.9 191.7 192.6 kozaiamp 180.0 180.0 180.0