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: 15GJ59
# Created Wed May 8 01:17:06 2024
# Orbit generated from Bernstein formalism
# Fitting 28 observations of 29
# Arc: 2.11y
# First observation: 2015/02/17
# Last observation: 2017/03/30
Preliminary a, adot, b, bdot, g, gdot:
-0.000129 0.020107 0.000002 0.001123 0.021842 0.000000
# Chi-squared of fit: 6.63 DOF: 50 RMS: 0.09
# Min/Max residuals: -0.17 0.30
# Exact a, adot, b, bdot, g, gdot:
1.379825E-05 1.997758E-02 9.140947E-07 1.113432E-03 2.190057E-02 -3.756834E-04
# Covariance matrix:
2.6762E-13 -7.7446E-14 -2.6339E-15 4.0962E-15 1.7463E-13 1.9781E-12
-7.7446E-14 3.6375E-13 -6.6074E-15 2.3159E-14 1.5319E-13 9.9081E-12
-2.6339E-15 -6.6074E-15 1.2467E-13 -1.0329E-13 -6.7265E-15 -3.1056E-13
4.0962E-15 2.3159E-14 -1.0329E-13 1.4751E-13 1.7828E-14 1.0578E-12
1.7463E-13 1.5319E-13 -6.7265E-15 1.7828E-14 2.8306E-13 7.8797E-12
1.9781E-12 9.9081E-12 -3.1056E-13 1.0578E-12 7.8797E-12 4.5390E-10
# lat0 lon0 xBary yBary zBary JD0
2.901079 -153.406071 0.837963 0.026369 -0.517614 2457071.105668
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 241.29373 +/- 0.768
Argument of Peri: 164.25407 +/- 0.762
Long of Asc Node: 164.02938 +/- 0.010
Inclination: 4.32173 +/- 0.001
Eccentricity: 0.04024749 +/- 0.0009
Semi-Major Axis: 45.25896553 +/- 0.0044
Time of Perihelion: 2493741.8194 +/- 237.1
Perihelion: 43.43740578 +/- 0.0407
Aphelion: 47.08052529 +/- 0.0408
Period (y) 304.4845 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.61905991 +/- 0.0010
Ecliptic Y -19.89724345 +/- 0.0005
Ecliptic Z 2.31102522 +/- 0.0001
Ecliptic XDOT 0.00116261 +/- 0.0000
Ecliptic YDOT -0.00221464 +/- 0.0000
Ecliptic ZDOT 0.00013673 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.18860555 +/- 0.0009
Geocenter to KBO 45.66092023 +/- 0.0011
# Hcoef: 8.05
The following table shows the complete astrometric record for 15GJ59. 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 (15GJ59) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.60489 13 42 54.639 -07 33 03.27 24.8r 15GJ59 568 C~2nvd 2015 02 17.64586 13 42 54.557 -07 33 02.67 24.4r 15GJ59 568 C~2nvd 2015 03 20.58759 13 41 29.178 -07 23 02.98 24.8r 15GJ59 568 C~2nvd 2015 04 11.52247 13 40 03.000 -07 14 05.53 24.7r 15GJ59 568 C~2nvd 2015 04 13.38609 13 39 55.287 -07 13 19.04 24.4r 15GJ59 568 C~2nvd 2015 04 13.44737 13 39 55.014 -07 13 17.59 24.3r 15GJ59 568 C~2nvd 2015 04 13.45145 13 39 54.989 -07 13 17.47 24.7r 15GJ59 568 C~2nvd 2015 04 13.45555 13 39 54.981 -07 13 17.33 24.8r 15GJ59 568 C~2nvd 2015 04 13.52960 13 39 54.666 -07 13 15.41 24.5r 15GJ59 568 C~2nvd 2015 04 19.49744 13 39 29.801 -07 10 48.01 24.4r 15GJ59 568 C~2nvd 2015 05 18.34948 13 37 36.739 -07 00 09.32 24.5r 15GJ59 568 C~2nvd 2015 06 20.29948 13 36 12.086 -06 53 15.63 24.8r 15GJ59 568 C~2nvd 2015 06 20.34029 13 36 12.015 -06 53 15.40 24.8r 15GJ59 568 C~2nvd 2015 06 22.34439 13 36 09.158 -06 53 04.90 24.7r 15GJ59 568 C~2nvd 2015 07 14.29673 13 35 57.964 -06 53 12.05 24.5r 15GJ59 568 C~2nvd 2015 07 20.28959 13 36 01.488 -06 53 53.27 24.7r 15GJ59 568 C~2nvd 2016 02 04.60621 13 47 34.775 -07 56 32.57 25.0w 15GJ59 568 C~2nvd 2016 02 11.58929 13 47 28.575 -07 55 24.72 25.1w 15GJ59 568 C~2nvd 2016 03 11.59678 13 46 23.928 -07 47 21.49 24.2w 15GJ59 568 C~2nvd 2016 04 03.46957 13 45 00.419 -07 38 29.05 24.9w 15GJ59 568 C~2nvd 2016 04 09.45073 13 44 35.994 -07 36 00.90 24.7w 15GJ59 568 C~2nvd 2016 04 13.45991 13 44 19.362 -07 34 21.38 25.2w 15GJ59 568 C~2nvd 2016 04 14.36209 13 44 15.594 -07 33 59.35 25.0w 15GJ59 568 C~2nvd 2016 05 02.34774 13 43 01.185 -07 26 50.45 25.0w 15GJ59 568 C~2nvd 2016 05 07.35110 13 42 41.358 -07 25 00.03 24.7w 15GJ59 568 C~2nvd 2016 05 29.34365 13 41 24.904 -07 18 15.31 25.2w 15GJ59 568 C~2nvd 2016 06 04.40605 13 41 07.987 -07 16 52.51 25.0w 15GJ59 568 C~2nvd 2017 02 27.64948 13 51 24.948 -08 12 19.84 15GJ59 568 C~2nvd 2017 03 30.50178 13 49 45.587 -08 01 24.59 24.8w 15GJ59 568 C~2nvd
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 -0.02
2 0.0001 -1.35 0.02 0.12 -0.05
3 0.0848 -1401.86 -0.11 103.70 -0.03
4 0.1449 -2791.68 -0.11 143.64 0.03
5 0.1500 -2915.53 0.16 145.65 0.09
6 0.1502 -2919.84 0.00 145.54 -0.06
7 0.1502 -2920.23 -0.11 145.52 -0.08
8 0.1502 -2920.39 0.00 145.60 0.01
9 0.1504 -2925.46 -0.04 145.71 0.06
10 0.1667 -3323.84 ( 0.48) 149.81 ( -0.25)
11 0.2457 -5124.64 -0.00 137.77 -0.10
12 0.3359 -6450.44 0.07 67.25 -0.02
13 0.3360 -6451.51 -0.02 67.08 -0.06
14 0.3415 -6495.01 -0.05 61.45 -0.03
15 0.4016 -6647.95 0.13 -5.64 0.20
16 0.4180 -6584.04 -0.05 -25.05 -0.06
17 0.9637 4393.00 -0.05 172.54 0.06
18 0.9828 4282.71 0.03 203.12 -0.01
19 1.0623 3212.59 -0.08 312.03 0.10
20 1.1249 1862.78 -0.00 365.81 0.01
21 1.1413 1470.65 0.00 374.23 0.08
22 1.1522 1204.10 0.15 378.63 0.30
23 1.1547 1143.90 0.07 379.13 -0.02
24 1.2040 -42.89 -0.06 382.93 -0.10
25 1.2176 -357.78 -0.01 380.17 0.02
26 1.2779 -1564.64 -0.00 349.27 -0.04
27 1.2945 -1829.29 -0.06 336.00 -0.17
28 2.0289 7928.20 -0.03 501.30 -0.16
29 2.1133 6314.31 0.04 590.85 0.05
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.
15GJ59 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.850 44.861 44.839 ecceobj 0.048 0.048 0.047 incobj 4.339 4.339 4.339 qmin 42.340 42.326 42.370 qmax 48.181 48.173 48.129 amean 45.150 45.165 45.137 amin 44.797 44.805 44.784 amax 45.520 45.538 45.499 emean 0.046 0.046 0.045 emin 0.031 0.032 0.031 emax 0.059 0.058 0.058 imean 4.159 4.158 4.159 imin 3.669 3.678 3.666 imax 4.612 4.602 4.617 excite_mean 0.086 0.086 0.086 fracstop 1.000 1.000 1.000 cjmean 3.107 3.107 3.106 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 181.1 181.2 181.2 kozaiamp 180.0 180.0 180.0