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: 15GN56
# Created Wed May 8 01:17:03 2024
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 2.11y
# First observation: 2015/02/17
# Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000111 0.025194 0.000003 -0.001051 0.024858 0.000000
# Chi-squared of fit: 5.93 DOF: 54 RMS: 0.08
# Min/Max residuals: -0.15 0.16
# Exact a, adot, b, bdot, g, gdot:
1.528727E-05 2.505137E-02 -6.996298E-07 -1.048606E-03 2.490052E-02 2.287370E-04
# Covariance matrix:
2.2729E-13 3.9278E-14 -5.0193E-17 -5.5318E-15 2.0148E-13 3.6493E-12
3.9278E-14 3.4102E-13 1.1846E-15 -1.3637E-14 2.3620E-13 8.5090E-12
-5.0193E-17 1.1846E-15 9.4698E-14 -8.1752E-14 6.7416E-16 7.2690E-14
-5.5318E-15 -1.3637E-14 -8.1752E-14 1.4579E-13 -1.3646E-14 -6.6955E-13
2.0148E-13 2.3620E-13 6.7416E-16 -1.3646E-14 3.3813E-13 8.7049E-12
3.6493E-12 8.5090E-12 7.2690E-14 -6.6955E-13 8.7049E-12 4.1237E-10
# lat0 lon0 xBary yBary zBary JD0
1.575860 -157.056467 0.804430 0.015795 -0.568714 2457070.990628
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 350.57624 +/- 0.865
Argument of Peri: 157.09777 +/- 0.959
Long of Asc Node: 55.10240 +/- 0.009
Inclination: 2.82836 +/- 0.001
Eccentricity: 0.05003289 +/- 0.0001
Semi-Major Axis: 42.85096291 +/- 0.0028
Time of Perihelion: 2459752.5153 +/- 246.1
Perihelion: 40.70700548 +/- 0.0069
Aphelion: 44.99492035 +/- 0.0070
Period (y) 280.5105 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.80904177 +/- 0.0009
Ecliptic Y -15.13028052 +/- 0.0004
Ecliptic Z 1.10437818 +/- 0.0000
Ecliptic XDOT 0.00104402 +/- 0.0000
Ecliptic YDOT -0.00255314 +/- 0.0000
Ecliptic ZDOT -0.00011447 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.73903139 +/- 0.0008
Geocenter to KBO 40.15979711 +/- 0.0009
# Hcoef: 8.55
The following table shows the complete astrometric record for 15GN56. 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 (15GN56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.48985 13 27 15.475 -07 27 23.34 24.8r 15GN56 568 C~2nvS 2015 02 17.53111 13 27 15.376 -07 27 22.61 24.5r 15GN56 568 C~2nvS 2015 02 20.46189 13 27 08.401 -07 26 37.02 24.2r 15GN56 568 C~2nvS 2015 03 18.45830 13 25 40.541 -07 17 30.13 24.5r 15GN56 568 C~2nvS 2015 03 18.50960 13 25 40.315 -07 17 28.75 24.7r 15GN56 568 C~2nvS 2015 03 20.51135 13 25 32.007 -07 16 38.30 24.4r 15GN56 568 C~2nvS 2015 04 11.40216 13 23 53.384 -07 06 52.97 24.6r 15GN56 568 C~2nvS 2015 04 12.35479 13 23 48.935 -07 06 26.86 24.6r 15GN56 568 C~2nvS 2015 04 12.39573 13 23 48.739 -07 06 25.94 24.7r 15GN56 568 C~2nvS 2015 04 12.44139 13 23 48.526 -07 06 24.65 24.3r 15GN56 568 C~2nvS 2015 04 14.45255 13 23 39.125 -07 05 29.70 24.5r 15GN56 568 C~2nvS 2015 04 18.41130 13 23 20.645 -07 03 42.80 24.2r 15GN56 568 C~2nvS 2015 04 18.45422 13 23 20.446 -07 03 41.62 24.7r 15GN56 568 C~2nvS 2015 05 16.25241 13 21 20.671 -06 52 26.78 24.3r 15GN56 568 C~2nvS 2015 05 25.36134 13 20 48.686 -06 49 35.19 24.3r 15GN56 568 C~2nvS 2015 05 25.40527 13 20 48.528 -06 49 34.44 24.6r 15GN56 568 C~2nvS 2015 06 21.31362 13 19 47.720 -06 44 42.14 24.6r 15GN56 568 C~2nvS 2015 06 22.27001 13 19 46.629 -06 44 38.21 24.7r 15GN56 568 C~2nvS 2015 07 12.26411 13 19 42.078 -06 45 11.99 24.9r 15GN56 568 C~2nvS 2015 07 19.25345 13 19 48.928 -06 46 14.67 24.7r 15GN56 568 C~2nvS 2016 03 11.54027 13 31 25.557 -07 55 23.26 24.7w 15GN56 568 C~2nvS 2016 04 03.44126 13 29 48.404 -07 45 46.34 24.7w 15GN56 568 C~2nvS 2016 04 09.42106 13 29 20.652 -07 43 04.95 25.0w 15GN56 568 C~2nvS 2016 05 28.27599 13 25 56.000 -07 24 07.72 25.2w 15GN56 568 C~2nvS 2016 05 28.28814 13 25 55.960 -07 24 07.37 25.5w 15GN56 568 C~2nvS 2016 06 04.35749 13 25 35.740 -07 22 25.00 24.9w 15GN56 568 C~2nvS 2016 06 27.28082 13 24 56.865 -07 19 37.61 25.0w 15GN56 568 C~2nvS 2016 07 06.31671 13 24 53.825 -07 19 46.34 24.8w 15GN56 568 C~2nvS 2016 07 07.28338 13 24 53.948 -07 19 50.07 25.1w 15GN56 568 C~2nvS 2017 03 29.45461 13 35 34.781 -08 23 26.55 24.8w 15GN56 568 C~2nvS
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 0.13 0.00 0.01
2 0.0001 -1.64 0.05 0.13 0.10
3 0.0081 -114.88 -0.03 4.17 0.04
4 0.0793 -1531.52 0.08 28.84 -0.14
5 0.0795 -1535.15 -0.11 28.88 -0.11
6 0.0849 -1668.67 0.12 29.97 0.06
7 0.1449 -3249.01 -0.12 29.44 -0.08
8 0.1475 -3320.21 -0.15 29.10 0.04
9 0.1476 -3323.26 -0.09 28.87 -0.15
10 0.1477 -3326.68 -0.05 28.90 -0.08
11 0.1532 -3477.06 -0.03 27.97 0.13
12 0.1641 -3772.26 -0.04 25.07 -0.05
13 0.1642 -3775.45 0.01 25.06 0.00
14 0.2403 -5682.88 0.03 -11.81 0.03
15 0.2652 -6189.28 0.16 -30.04 0.07
16 0.2653 -6191.75 -0.01 -30.22 0.00
17 0.3390 -7142.14 0.04 -96.82 -0.07
18 0.3416 -7158.71 -0.00 -99.24 0.11
19 0.3964 -7209.06 -0.11 -155.92 0.06
20 0.4155 -7090.86 0.14 -176.00 0.03
21 1.0624 4075.42 -0.04 -192.65 0.10
22 1.1251 2520.35 0.04 -186.83 -0.03
23 1.1415 2077.37 0.01 -188.65 0.02
24 1.2753 -1170.68 0.08 -255.37 -0.06
25 1.2753 -1171.36 0.00 -255.27 0.08
26 1.2946 -1488.68 -0.06 -271.53 -0.06
27 1.3574 -2087.92 0.05 -330.31 -0.02
28 1.3821 -2126.70 -0.15 -355.18 0.03
29 1.3848 -2123.62 0.06 -357.97 -0.08
30 2.1108 8138.97 0.01 -405.00 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.
15GN56 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.447 42.456 42.439 ecceobj 0.041 0.041 0.041 incobj 2.834 2.834 2.834 qmin 40.001 40.001 39.989 qmax 45.666 45.649 45.667 amean 42.717 42.725 42.708 amin 42.391 42.404 42.375 amax 43.056 43.067 43.059 emean 0.038 0.038 0.038 emin 0.017 0.017 0.016 emax 0.061 0.060 0.061 imean 1.473 1.472 1.474 imin 0.155 0.163 0.145 imax 2.381 2.380 2.378 excite_mean 0.047 0.047 0.047 fracstop 1.000 1.000 1.000 cjmean 3.084 3.084 3.084 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 188.6 187.2 189.4 kozaiamp 179.9 179.9 179.9