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: 18FK76
# Created Sun Dec 22 02:11:02 2024
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 3.09y
# First observation: 2016/02/05
# Last observation: 2019/03/11
Preliminary a, adot, b, bdot, g, gdot:
-0.000019 0.018121 0.000000 -0.000001 0.020583 0.000000
# Chi-squared of fit: 18.07 DOF: 30 RMS: 0.18
# Min/Max residuals: -0.90 0.21
# Exact a, adot, b, bdot, g, gdot:
1.385423E-05 1.820886E-02 3.069170E-07 -1.202534E-06 2.077782E-02 2.919775E-03
# Covariance matrix:
7.3228E-13 -7.1239E-13 3.7184E-16 -2.4008E-16 -4.6761E-13 -8.7175E-12
-7.1239E-13 6.3907E-12 -4.4473E-15 -1.9158E-15 8.1914E-12 1.0970E-10
3.7184E-16 -4.4473E-15 6.3980E-13 -2.2154E-13 -5.7001E-15 -7.7487E-14
-2.4008E-16 -1.9158E-15 -2.2154E-13 8.8025E-14 -3.7122E-15 -3.2093E-14
-4.6761E-13 8.1914E-12 -5.7001E-15 -3.7122E-15 1.1181E-11 1.4202E-10
-8.7175E-12 1.0970E-10 -7.7487E-14 -3.2093E-14 1.4202E-10 1.9098E-09
# lat0 lon0 xBary yBary zBary JD0
2.412942 174.066679 0.609363 0.032714 -0.772436 2457424.150211
# Heliocentric elements and errors
Epoch: 2457420.5000 = 2016/02/02
Mean Anomaly: 88.91481 +/- 0.245
Argument of Peri: 343.66596 +/- 0.192
Long of Asc Node: 84.13924 +/- 0.023
Inclination: 2.37468 +/- 0.000
Eccentricity: 0.14666486 +/- 0.0022
Semi-Major Axis: 48.01785796 +/- 0.0193
Time of Perihelion: 2427403.0227 +/- 80.8
Perihelion: 40.97532575 +/- 0.1069
Aphelion: 55.06039017 +/- 0.1079
Period (y) 332.7456 +/- 0.20
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -48.53778847 +/- 0.0077
Ecliptic Y 5.65435698 +/- 0.0008
Ecliptic Z 2.02627564 +/- 0.0003
Ecliptic XDOT -0.00063082 +/- 0.0000
Ecliptic YDOT -0.00235373 +/- 0.0000
Ecliptic ZDOT 0.00001606 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 48.90802036 +/- 0.0076
Geocenter to KBO 48.12823731 +/- 0.0077
# Hcoef: 7.75
The following table shows the complete astrometric record for 18FK76. 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 (18FK76) followed by the observatory code and reference code for the source of the astrometry.
2016 02 05.649422 11 42 02.76 +04 34 18.7 18FK76 T09 C~8MgJ 2016 02 05.660125 11 42 02.73 +04 34 19.0 18FK76 T09 C~8MgJ 2018 03 18.480113 11 47 15.85 +04 01 11.1 18FK76 T09 C~8MgJ 2018 03 18.605414 11 47 15.36 +04 01 14.4 18FK76 T09 C~8MgJ 2018 04 24.372460 11 45 04.11 +04 14 43.1 18FK76 T09 C~8MgJ 2018 04 24.498728 11 45 03.74 +04 14 45.3 18FK76 T09 C~8MgJ 2019 02 02.656217 11 53 36.38 +03 19 01.9 18FK76 T09 C~8MgJ 2019 02 05.473907 11 53 28.94 +03 19 56.7 18FK76 T09 C~8MgJ 2019 02 05.525031 11 53 28.80 +03 19 57.7 18FK76 T09 C~8MgJ 2019 03 02.43427 11 52 06.98 +03 29 28.9 24.4y 18FK76 T09 C~8MgJ 2019 03 02.53504 11 52 06.67 +03 29 31.1 24.3y 18FK76 T09 C~8MgJ 2019 03 02.57532 11 52 06.51 +03 29 32.1 23.4y 18FK76 T09 C~8MgJ 2019 03 02.61357 11 52 06.36 +03 29 33.3 23.8y 18FK76 T09 C~8MgJ 2019 03 08.35114 11 51 44.73 +03 31 58.3 25.1r 18FK76 T09 C~8MgJ 2019 03 08.37278 11 51 44.65 +03 31 58.6 25.0r 18FK76 T09 C~8MgJ 2019 03 08.40431 11 51 44.53 +03 31 59.3 25.2r 18FK76 T09 C~8MgJ 2019 03 10.494607 11 51 36.50 +03 32 52.5 18FK76 T09 C~8MgJ 2019 03 11.489685 11 51 32.66 +03 33 18.0 18FK76 T09 C~8MgJ
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 0.00 0.00 -0.06
2 0.0000 -0.53 -0.01 0.10 0.02
3 2.1132 5088.35 -0.06 38.89 -0.05
4 2.1135 5080.31 -0.02 38.99 0.12
5 2.2142 2956.22 0.01 -1.02 -0.02
6 2.2145 2950.27 0.09 -1.20 0.09
7 2.9925 11331.01 0.05 -5.40 0.08
8 3.0002 11206.61 0.10 0.26 0.04
9 3.0003 11204.28 0.15 0.33 0.03
10 3.0685 9849.44 -0.90 33.98 -0.19
11 3.0688 9844.29 0.21 34.14 -0.06
12 3.0689 9841.69 0.10 34.10 -0.12
13 3.0690 9839.15 -0.07 34.30 0.07
14 3.0847 9483.57 -0.09 37.78 0.19
15 3.0848 9482.35 0.07 37.58 -0.02
16 3.0849 9480.41 0.14 37.50 -0.10
17 3.0906 9348.68 0.15 38.22 -0.08
18 3.0933 9285.66 0.07 38.63 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.
18FK76 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.616 47.672 47.563 ecceobj 0.151 0.156 0.146 incobj 2.374 2.374 2.374 qmin 39.789 39.684 39.979 qmax 56.202 56.311 56.093 amean 47.799 47.799 47.798 amin 47.371 47.386 47.319 amax 48.268 48.261 48.328 emean 0.146 0.150 0.141 emin 0.128 0.132 0.118 emax 0.165 0.167 0.162 imean 0.852 0.852 0.599 imin 0.639 0.651 0.190 imax 1.151 1.136 1.126 excite_mean 0.147 0.151 0.141 fracstop 1.000 1.000 1.000 cjmean 3.122 3.121 3.124 libcent 0 268.1 269.7 260.3 libamp 0 20.0 14.2 42.1 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 182.5 181.2 183.6 kozaiamp 180.0 180.0 180.0