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: 15GJ56
# Created Wed May 8 01:17:03 2024
# Orbit generated from Bernstein formalism
# Fitting 38 observations of 39
# Arc: 2.34y
# First observation: 2015/02/17
# Last observation: 2017/06/21
Preliminary a, adot, b, bdot, g, gdot:
-0.000088 0.022434 0.000003 -0.001340 0.023315 0.000000
# Chi-squared of fit: 11.85 DOF: 70 RMS: 0.10
# Min/Max residuals: -0.24 0.36
# Exact a, adot, b, bdot, g, gdot:
1.487586E-05 2.233354E-02 -4.909969E-07 -1.333630E-03 2.336030E-02 -1.090735E-03
# Covariance matrix:
1.7902E-13 -1.0222E-15 8.2000E-16 -5.4182E-15 1.3653E-13 2.1666E-12
-1.0222E-15 2.4020E-13 3.1546E-15 -1.5697E-14 1.5196E-13 6.1489E-12
8.2000E-16 3.1546E-15 8.4102E-14 -6.2386E-14 2.6257E-15 1.2588E-13
-5.4182E-15 -1.5697E-14 -6.2386E-14 8.5949E-14 -1.4515E-14 -6.2182E-13
1.3653E-13 1.5196E-13 2.6257E-15 -1.4515E-14 2.3160E-13 5.7337E-12
2.1666E-12 6.1489E-12 1.2588E-13 -6.2182E-13 5.7337E-12 2.4343E-10
# lat0 lon0 xBary yBary zBary JD0
1.296523 -157.933675 0.795626 0.013299 -0.581030 2457070.990628
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 285.49169 +/- 0.045
Argument of Peri: 241.30153 +/- 0.105
Long of Asc Node: 41.63709 +/- 0.004
Inclination: 3.62657 +/- 0.001
Eccentricity: 0.06621219 +/- 0.0007
Semi-Major Axis: 43.99324927 +/- 0.0049
Time of Perihelion: 2479129.1890 +/- 12.7
Perihelion: 41.08035990 +/- 0.0309
Aphelion: 46.90613864 +/- 0.0310
Period (y) 291.8013 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -40.50212705 +/- 0.0008
Ecliptic Y -15.55883585 +/- 0.0003
Ecliptic Z 0.96856665 +/- 0.0000
Ecliptic XDOT 0.00109486 +/- 0.0000
Ecliptic YDOT -0.00238466 +/- 0.0000
Ecliptic ZDOT -0.00015906 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.39859203 +/- 0.0008
Geocenter to KBO 42.80766896 +/- 0.0009
# Hcoef: 8.15
The following table shows the complete astrometric record for 15GJ56. 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 (15GJ56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.48985 13 23 33.290 -07 23 27.42 24.6r 15GJ56 568 C~2nvR 2015 02 17.53111 13 23 33.200 -07 23 26.76 24.2r 15GJ56 568 C~2nvR 2015 02 20.46189 13 23 26.316 -07 22 43.42 24.4r 15GJ56 568 C~2nvR 2015 03 18.45830 13 22 01.335 -07 14 04.72 24.5r 15GJ56 568 C~2nvR 2015 03 18.50960 13 22 01.129 -07 14 03.53 24.7r 15GJ56 568 C~2nvR 2015 03 20.51135 13 21 53.153 -07 13 15.88 24.5r 15GJ56 568 C~2nvR 2015 04 11.40216 13 20 19.381 -07 04 02.34 24.3r 15GJ56 568 C~2nvR 2015 04 12.35479 13 20 15.140 -07 03 37.99 24.4r 15GJ56 568 C~2nvR 2015 04 12.39573 13 20 14.947 -07 03 37.12 24.6r 15GJ56 568 C~2nvR 2015 04 12.44139 13 20 14.742 -07 03 35.70 24.6r 15GJ56 568 C~2nvR 2015 04 14.45255 13 20 05.828 -07 02 44.08 24.2r 15GJ56 568 C~2nvR 2015 04 16.39045 13 19 57.264 -07 01 54.54 24.5r 15GJ56 568 C~2nvR 2015 04 18.41130 13 19 48.357 -07 01 03.20 24.6r 15GJ56 568 C~2nvR 2015 04 18.45422 13 19 48.170 -07 01 01.98 24.6r 15GJ56 568 C~2nvR 2015 05 16.25241 13 17 55.416 -06 50 25.20 24.1r 15GJ56 568 C~2nvR 2015 05 25.36134 13 17 25.456 -06 47 43.09 24.6r 15GJ56 568 C~2nvR 2015 05 25.40527 13 17 25.316 -06 47 42.39 24.2r 15GJ56 568 C~2nvR 2015 06 21.31362 13 16 28.786 -06 43 05.73 24.6r 15GJ56 568 C~2nvR 2015 06 22.27001 13 16 27.787 -06 43 02.23 24.5r 15GJ56 568 C~2nvR 2015 07 12.26411 13 16 24.083 -06 43 33.22 24.6r 15GJ56 568 C~2nvR 2015 07 15.25415 13 16 26.427 -06 43 55.01 24.6r 15GJ56 568 C~2nvR 2015 07 19.25345 13 16 30.705 -06 44 31.90 24.6r 15GJ56 568 C~2nvR 2016 02 04.55519 13 28 36.489 -07 58 32.41 24.8w 15GJ56 568 C~2nvR 2016 02 10.54313 13 28 28.589 -07 57 40.31 24.4w 15GJ56 568 C~2nvR 2016 03 11.53623 13 27 08.338 -07 49 29.12 24.6w 15GJ56 568 C~2nvR 2016 04 03.42508 13 25 35.353 -07 40 21.95 24.6w 15GJ56 568 C~2nvR 2016 04 09.40482 13 25 08.986 -07 37 49.23 24.7w 15GJ56 568 C~2nvR 2016 05 01.35644 13 23 33.261 -07 28 43.71 24.5w 15GJ56 568 C~2nvR 2016 05 02.29905 13 23 29.348 -07 28 21.53 24.7w 15GJ56 568 C~2nvR 2016 05 06.30882 13 23 13.029 -07 26 50.16 24.9w 15GJ56 568 C~2nvR 2016 05 28.27599 13 21 56.321 -07 19 53.43 24.7w 15GJ56 568 C~2nvR 2016 05 28.28814 13 21 56.284 -07 19 53.31 24.8w 15GJ56 568 C~2nvR 2016 06 04.35749 13 21 37.489 -07 18 16.48 24.6w 15GJ56 568 C~2nvR 2016 06 27.26867 13 21 01.819 -07 15 38.81 25.0w 15GJ56 568 C~2nvR 2016 07 06.30443 13 20 59.354 -07 15 47.27 25.1w 15GJ56 568 C~2nvR 2017 02 24.62769 13 32 40.848 -08 27 08.48 15GJ56 568 C~2nvR 2017 02 24.63851 13 32 40.810 -08 27 08.37 15GJ56 568 C~2nvR 2017 03 28.56968 13 30 47.552 -08 16 01.55 15GJ56 568 C~2nvR 2017 06 21.28782 13 25 48.397 -07 48 46.58 24.6w 15GJ56 568 C~2nvR
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 0.05 0.00 -0.08
2 0.0001 -1.49 0.09 0.12 0.02
3 0.0081 -112.66 0.04 2.28 -0.07
4 0.0793 -1479.27 0.00 13.18 0.03
5 0.0795 -1482.56 0.02 13.15 0.01
6 0.0849 -1610.46 -0.09 13.15 -0.04
7 0.1449 -3112.07 ( 0.32) 6.19 ( 0.48)
8 0.1475 -3179.75 0.03 5.20 0.16
9 0.1476 -3182.74 -0.02 4.93 -0.06
10 0.1477 -3186.10 -0.10 5.11 0.17
11 0.1532 -3328.51 -0.18 3.44 0.04
12 0.1585 -3465.32 -0.17 1.77 -0.04
13 0.1641 -3607.54 -0.09 -0.14 -0.14
14 0.1642 -3610.58 -0.07 -0.05 0.01
15 0.2403 -5406.71 0.13 -37.61 -0.12
16 0.2652 -5881.53 0.10 -54.50 -0.05
17 0.2653 -5883.72 0.05 -54.63 -0.08
18 0.3390 -6768.91 0.09 -113.99 0.05
19 0.3416 -6784.04 0.13 -116.33 -0.01
20 0.3964 -6823.60 -0.05 -165.79 -0.02
21 0.4046 -6783.01 0.05 -172.89 0.36
22 0.4155 -6710.02 -0.06 -183.17 0.03
23 0.9639 4967.19 -0.09 -286.00 -0.03
24 0.9803 4838.82 0.07 -280.88 -0.02
25 1.0624 3548.81 0.09 -264.92 0.14
26 1.1251 2062.12 -0.05 -268.29 -0.01
27 1.1415 1641.42 0.06 -271.79 -0.07
28 1.2016 117.17 0.20 -293.79 -0.24
29 1.2041 54.90 0.03 -294.83 -0.05
30 1.2151 -204.38 0.03 -300.26 0.14
31 1.2753 -1418.59 0.00 -338.23 0.04
32 1.2753 -1419.15 0.02 -338.32 -0.02
33 1.2946 -1714.74 -0.03 -352.67 0.06
34 1.3574 -2266.04 -0.08 -404.28 -0.08
35 1.3821 -2296.92 -0.13 -425.81 -0.08
36 2.0209 8976.57 -0.02 -547.70 0.01
37 2.0209 8976.01 -0.11 -547.80 -0.10
38 2.1084 7164.96 0.14 -544.63 0.23
39 2.3403 2429.25 -0.07 -665.17 -0.06
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.
15GJ56 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.589 43.600 43.577 ecceobj 0.067 0.068 0.066 incobj 3.639 3.639 3.639 qmin 40.345 40.293 40.364 qmax 47.688 47.754 47.564 amean 43.874 43.886 43.863 amin 43.527 43.525 43.524 amax 44.235 44.253 44.216 emean 0.060 0.062 0.059 emin 0.044 0.045 0.042 emax 0.078 0.079 0.076 imean 2.643 2.642 2.644 imin 1.853 1.851 1.855 imax 3.358 3.357 3.358 excite_mean 0.076 0.077 0.075 fracstop 1.000 1.000 1.000 cjmean 3.093 3.093 3.093 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 187.2 187.3 187.1 kozaiamp 180.0 180.0 180.0