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: 15GR55
# Created Fri Nov 22 02:10:19 2024
# Orbit generated from Bernstein formalism
# Fitting 32 observations of 32
# Arc: 2.27y
# First observation: 2015/03/18
# Last observation: 2017/06/24
Preliminary a, adot, b, bdot, g, gdot:
-0.000064 0.022532 -0.000001 0.009780 0.025213 0.000000
# Chi-squared of fit: 7.53 DOF: 58 RMS: 0.09
# Min/Max residuals: -0.21 0.27
# Exact a, adot, b, bdot, g, gdot:
1.422844E-05 2.269419E-02 6.006603E-06 9.865055E-03 2.553241E-02 2.487424E-03
# Covariance matrix:
1.5626E-13 -5.8264E-14 -3.1012E-15 1.5547E-14 8.7757E-14 8.1953E-13
-5.8264E-14 3.0098E-13 -2.8949E-14 1.2719E-13 1.6393E-13 6.8013E-12
-3.1012E-15 -2.8949E-14 1.1678E-13 -1.0151E-13 -2.3249E-14 -9.9971E-13
1.5547E-14 1.2719E-13 -1.0151E-13 1.8609E-13 1.0533E-13 4.3911E-12
8.7757E-14 1.6393E-13 -2.3249E-14 1.0533E-13 2.4784E-13 5.6126E-12
8.1953E-13 6.8013E-12 -9.9971E-13 4.3911E-12 5.6126E-12 2.3481E-10
# lat0 lon0 xBary yBary zBary JD0
1.815677 -156.039180 0.443056 0.028248 -0.887299 2457100.063688
# Heliocentric elements and errors
Epoch: 2457100.5000 = 2015/03/19
Mean Anomaly: 105.30867 +/- 0.170
Argument of Peri: 248.74559 +/- 0.158
Long of Asc Node: 199.24107 +/- 0.000
Inclination: 23.52151 +/- 0.001
Eccentricity: 0.09766835 +/- 0.0005
Semi-Major Axis: 38.73070676 +/- 0.0045
Time of Perihelion: 2431346.5893 +/- 41.3
Perihelion: 34.94794250 +/- 0.0208
Aphelion: 42.51347102 +/- 0.0210
Period (y) 241.0412 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -36.76681661 +/- 0.0007
Ecliptic Y -15.85347362 +/- 0.0003
Ecliptic Z 1.24120109 +/- 0.0000
Ecliptic XDOT 0.00077187 +/- 0.0000
Ecliptic YDOT -0.00232422 +/- 0.0000
Ecliptic ZDOT 0.00106584 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.05835755 +/- 0.0007
Geocenter to KBO 39.16590420 +/- 0.0008
# Hcoef: 8.83
The following table shows the complete astrometric record for 15GR55. 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 (15GR55) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.56291 13 31 25.728 -07 36 28.05 24.0r 15GR55 568 C~2lVC 2015 03 18.60407 13 31 25.560 -07 36 26.77 24.6r 15GR55 568 C~2lVC 2015 03 20.56704 13 31 17.447 -07 35 24.72 24.8r 15GR55 568 C~2lVC 2015 04 11.50134 13 29 38.553 -07 23 15.21 24.6r 15GR55 568 C~2lVC 2015 04 13.36562 13 29 29.786 -07 22 12.17 24.3r 15GR55 568 C~2lVC 2015 04 13.40656 13 29 29.576 -07 22 10.67 24.9r 15GR55 568 C~2lVC 2015 04 13.50913 13 29 29.085 -07 22 07.26 24.8r 15GR55 568 C~2lVC 2015 04 19.40635 13 29 01.293 -07 18 48.63 24.7r 15GR55 568 C~2lVC 2015 05 18.32905 13 26 55.866 -07 04 03.76 24.4r 15GR55 568 C~2lVC 2015 06 20.27906 13 25 28.324 -06 53 27.15 25.0r 15GR55 568 C~2lVC 2015 06 20.31989 13 25 28.269 -06 53 26.85 25.0r 15GR55 568 C~2lVC 2015 06 22.32371 13 25 25.670 -06 53 05.65 25.2r 15GR55 568 C~2lVC 2015 07 14.27603 13 25 20.681 -06 51 34.74 24.5r 15GR55 568 C~2lVC 2015 07 20.26893 13 25 26.936 -06 51 55.90 24.6r 15GR55 568 C~2lVC 2016 02 04.56733 13 38 57.226 -07 50 09.36 25.2w 15GR55 568 C~2lVC 2016 02 10.55526 13 38 50.712 -07 48 35.06 25.7w 15GR55 568 C~2lVC 2016 02 10.60492 13 38 50.652 -07 48 34.39 27.3w 15GR55 568 C~2lVC 2016 02 11.57713 13 38 49.258 -07 48 17.27 25.2w 15GR55 568 C~2lVC 2016 04 03.43722 13 35 56.509 -07 24 27.40 24.8w 15GR55 568 C~2lVC 2016 04 09.41701 13 35 28.737 -07 21 06.59 25.0w 15GR55 568 C~2lVC 2016 05 02.32746 13 33 42.269 -07 08 38.47 24.8w 15GR55 568 C~2lVC 2016 05 06.33724 13 33 24.628 -07 06 36.96 25.1w 15GR55 568 C~2lVC 2016 05 28.29624 13 32 00.668 -06 57 02.44 24.7w 15GR55 568 C~2lVC 2016 05 28.30839 13 32 00.631 -06 57 02.19 25.1w 15GR55 568 C~2lVC 2016 05 29.31531 13 31 57.436 -06 56 40.22 24.9w 15GR55 568 C~2lVC 2016 06 04.37369 13 31 39.658 -06 54 38.41 25.3w 15GR55 568 C~2lVC 2016 06 27.34232 13 30 58.180 -06 49 41.39 25.6w 15GR55 568 C~2lVC 2016 07 07.33209 13 30 54.251 -06 48 59.30 25.0w 15GR55 568 C~2lVC 2017 02 27.63752 13 43 52.268 -07 38 54.53 15GR55 568 C~2lVC 2017 03 28.58374 13 42 06.159 -07 24 38.61 15GR55 568 C~2lVC 2017 03 29.47339 13 42 02.238 -07 24 09.64 25.0w 15GR55 568 C~2lVC 2017 06 24.29923 13 36 38.646 -06 47 17.01 24.8w 15GR55 568 C~2lVC
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 -0.04 0.00 0.02
2 0.0001 -2.79 0.02 0.27 0.03
3 0.0055 -137.77 -0.15 13.76 0.05
4 0.0655 -1773.71 -0.01 152.18 0.09
5 0.0706 -1918.18 0.15 162.85 0.01
6 0.0708 -1921.64 -0.08 163.10 0.04
7 0.0710 -1929.68 -0.03 163.58 -0.01
8 0.0872 -2387.27 -0.14 196.18 -0.03
9 0.1664 -4449.19 0.04 330.92 -0.06
10 0.2566 -5896.49 -0.02 441.07 0.12
11 0.2567 -5897.36 0.11 441.04 -0.00
12 0.2622 -5941.19 0.03 446.43 -0.21
13 0.3223 -6043.93 -0.07 503.45 -0.05
14 0.3387 -5949.48 0.07 518.24 -0.04
15 0.8843 6550.73 -0.09 1683.26 0.01
16 0.9007 6426.20 0.04 1736.05 0.14
17 0.9009 6425.13 0.27 1736.35 0.03
18 0.9035 6399.59 -0.00 1744.79 -0.02
19 1.0455 3485.28 -0.04 2142.99 0.02
20 1.0619 3027.24 -0.06 2179.39 -0.00
21 1.1246 1278.92 -0.04 2297.44 0.02
22 1.1356 990.08 0.09 2314.53 -0.03
23 1.1957 -383.50 -0.04 2391.62 -0.07
24 1.1957 -384.11 0.01 2391.65 -0.07
25 1.1985 -436.43 -0.01 2394.66 0.04
26 1.2151 -727.40 -0.02 2410.97 -0.12
27 1.2780 -1411.06 0.18 2460.75 -0.15
28 1.3053 -1480.95 -0.02 2478.44 0.13
29 1.9496 10403.56 0.05 3900.38 0.04
30 2.0288 8619.15 0.08 4129.37 0.11
31 2.0312 8554.18 -0.13 4135.31 -0.11
32 2.2690 3257.32 -0.13 4449.52 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.
15GR55 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 38.430 38.444 38.417 ecceobj 0.100 0.101 0.098 incobj 23.628 23.628 23.628 qmin 34.025 34.014 34.405 qmax 43.540 43.534 43.175 amean 38.654 38.654 38.653 amin 38.360 38.356 38.340 amax 38.983 38.995 38.990 emean 0.101 0.102 0.096 emin 0.084 0.086 0.085 emax 0.118 0.118 0.108 imean 24.278 24.273 24.342 imin 23.462 23.454 23.570 imax 25.052 25.051 25.045 excite_mean 0.423 0.424 0.423 fracstop 1.000 1.000 1.000 cjmean 2.833 2.833 2.834 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 190.8 190.9 177.5 kozaiamp 180.0 180.0 180.0