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: 15GN57
# Created Wed May 8 01:17:05 2024
# Orbit generated from Bernstein formalism
# Fitting 29 observations of 30
# Arc: 2.35y
# First observation: 2015/02/17
# Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000118 0.023191 0.000001 -0.000251 0.023526 0.000000
# Chi-squared of fit: 14.42 DOF: 52 RMS: 0.12
# Min/Max residuals: -0.56 0.31
# Exact a, adot, b, bdot, g, gdot:
1.553691E-05 2.312464E-02 -3.790094E-07 -2.503472E-04 2.358598E-02 6.246487E-04
# Covariance matrix:
2.5978E-13 2.6854E-15 -3.9924E-16 -1.3342E-15 1.9758E-13 3.8949E-12
2.6854E-15 2.9542E-13 1.8345E-16 -3.3152E-15 1.9996E-13 8.1408E-12
-3.9924E-16 1.8345E-16 1.2197E-13 -9.5541E-14 -2.9018E-16 1.4313E-14
-1.3342E-15 -3.3152E-15 -9.5541E-14 1.2740E-13 -3.3385E-15 -1.6702E-13
1.9758E-13 1.9996E-13 -2.9018E-16 -3.3385E-15 3.1893E-13 8.8191E-12
3.8949E-12 8.1408E-12 1.4313E-14 -1.6702E-13 8.8191E-12 4.0351E-10
# lat0 lon0 xBary yBary zBary JD0
1.022629 -153.562498 0.837379 0.009413 -0.519139 2457071.015468
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 10.51132 +/- 0.920
Argument of Peri: 109.06060 +/- 1.021
Long of Asc Node: 84.62910 +/- 0.037
Inclination: 1.17442 +/- 0.000
Eccentricity: 0.04984872 +/- 0.0002
Semi-Major Axis: 45.13602220 +/- 0.0031
Time of Perihelion: 2453836.5144 +/- 282.9
Perihelion: 42.88604935 +/- 0.0096
Aphelion: 47.38599505 +/- 0.0097
Period (y) 303.2446 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -38.79853003 +/- 0.0009
Ecliptic Y -18.35487533 +/- 0.0004
Ecliptic Z 0.75667042 +/- 0.0000
Ecliptic XDOT 0.00112607 +/- 0.0000
Ecliptic YDOT -0.00244165 +/- 0.0000
Ecliptic ZDOT -0.00002767 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.92784564 +/- 0.0008
Geocenter to KBO 42.39807229 +/- 0.0010
# Hcoef: 8.18
The following table shows the complete astrometric record for 15GN57. 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 (15GN57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.51469 13 39 35.275 -09 14 50.29 24.6r 15GN57 568 C~2nvW 2015 03 18.49249 13 38 10.238 -09 06 14.26 24.4r 15GN57 568 C~2nvW 2015 03 18.53407 13 38 10.045 -09 06 13.01 24.4r 15GN57 568 C~2nvW 2015 03 20.53726 13 38 02.338 -09 05 27.60 24.6r 15GN57 568 C~2nvW 2015 04 11.47256 13 36 29.464 -08 56 25.56 24.2r 15GN57 568 C~2nvW 2015 04 12.37938 13 36 25.471 -08 56 02.27 24.7r 15GN57 568 C~2nvW 2015 04 12.42509 13 36 25.252 -08 56 01.11 24.3r 15GN57 568 C~2nvW 2015 04 12.46730 13 36 25.044 -08 55 59.94 24.4r 15GN57 568 C~2nvW 2015 04 18.43790 13 35 58.356 -08 53 26.32 24.3r 15GN57 568 C~2nvW 2015 04 18.48560 13 35 58.132 -08 53 25.78 23.8r 15GN57 568 C~2nvW 2015 05 25.38864 13 33 28.678 -08 39 23.72 24.6r 15GN57 568 C~2nvW 2015 05 25.44647 13 33 28.482 -08 39 22.69 24.3r 15GN57 568 C~2nvW 2015 06 21.33827 13 32 23.677 -08 33 42.16 24.6r 15GN57 568 C~2nvW 2015 06 22.29486 13 32 22.365 -08 33 35.96 24.4r 15GN57 568 C~2nvW 2015 07 12.28879 13 32 12.071 -08 33 08.56 24.6r 15GN57 568 C~2nvW 2015 07 19.27863 13 32 16.504 -08 33 46.08 24.6r 15GN57 568 C~2nvW 2016 02 04.61431 13 44 51.756 -09 46 04.22 24.8w 15GN57 568 C~2nvW 2016 02 11.59753 13 44 44.868 -09 45 16.02 24.8w 15GN57 568 C~2nvW 2016 03 11.60487 13 43 34.539 -09 38 06.81 24.5w 15GN57 568 C~2nvW 2016 04 03.47768 13 42 04.430 -09 29 22.61 24.6w 15GN57 568 C~2nvW 2016 04 09.45883 13 41 38.164 -09 26 52.15 24.2w 15GN57 568 C~2nvW 2016 05 02.33963 13 39 56.726 -09 17 18.49 24.4w 15GN57 568 C~2nvW 2016 05 07.34298 13 39 35.594 -09 15 20.77 24.0w 15GN57 568 C~2nvW 2016 05 29.32744 13 38 14.681 -09 07 57.38 24.9w 15GN57 568 C~2nvW 2016 06 04.38987 13 37 56.955 -09 06 23.11 24.8w 15GN57 568 C~2nvW 2016 06 27.32010 13 37 13.728 -09 02 47.89 26.1w 15GN57 568 C~2nvW 2016 06 27.32513 13 37 13.741 -09 02 47.83 24.5w 15GN57 568 C~2nvW 2016 07 07.31590 13 37 08.061 -09 02 31.48 25.1w 15GN57 568 C~2nvW 2017 02 27.64150 13 49 13.552 -10 11 03.16 15GN57 568 C~2nvW 2017 06 25.27303 13 42 15.281 -09 32 25.94 25.2w 15GN57 568 C~2nvW
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 -0.01 0.00 0.04
2 0.0793 -1360.63 ( 0.55) 26.17 ( -0.02)
3 0.0795 -1363.75 -0.00 26.30 0.11
4 0.0849 -1486.60 -0.09 27.33 -0.04
5 0.1450 -2965.59 -0.28 33.95 -0.03
6 0.1475 -3029.19 0.31 34.18 0.15
7 0.1476 -3032.63 0.15 34.09 0.07
8 0.1477 -3035.93 -0.10 34.06 0.06
9 0.1641 -3460.31 0.03 33.62 0.12
10 0.1642 -3463.60 0.19 32.92 -0.56
11 0.2652 -5834.92 -0.08 10.83 0.08
12 0.2654 -5838.01 -0.09 10.73 0.05
13 0.3390 -6858.08 -0.09 -23.14 -0.04
14 0.3416 -6878.48 0.00 -24.48 -0.02
15 0.3964 -7030.80 -0.04 -54.79 0.03
16 0.4155 -6955.79 0.10 -65.69 0.07
17 0.9640 5043.63 0.00 -67.59 -0.05
18 0.9831 4931.24 -0.06 -58.96 -0.02
19 1.0625 3806.13 -0.07 -30.22 -0.13
20 1.1252 2373.62 0.00 -19.02 0.07
21 1.1415 1956.84 0.00 -18.27 0.07
22 1.2042 349.64 0.01 -23.66 0.12
23 1.2179 15.40 0.12 -26.72 0.01
24 1.2781 -1261.98 0.11 -46.16 0.05
25 1.2947 -1540.84 0.02 -53.27 0.00
26 1.3574 -2215.66 -0.26 -84.55 -0.13
27 1.3575 -2215.51 -0.02 -84.43 0.01
28 1.3848 -2299.86 0.13 -99.68 -0.18
29 2.0291 9196.50 0.01 -92.45 -0.03
30 2.3512 2589.31 -0.00 -132.47 0.11
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.
15GN57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.697 44.707 44.686 ecceobj 0.040 0.041 0.040 incobj 1.175 1.175 1.175 qmin 42.258 42.237 42.285 qmax 47.924 47.927 47.902 amean 44.999 45.009 44.989 amin 44.650 44.655 44.635 amax 45.361 45.378 45.349 emean 0.043 0.043 0.042 emin 0.030 0.030 0.029 emax 0.057 0.056 0.057 imean 0.720 0.719 0.722 imin 0.091 0.091 0.091 imax 1.061 1.060 1.063 excite_mean 0.045 0.046 0.044 fracstop 1.000 1.000 1.000 cjmean 3.111 3.111 3.111 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 176.9 178.1 175.4 kozaiamp 180.0 180.0 180.0