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: 18FM76
# Created Tue Apr 1 01:11:09 2025
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 1.07y
# First observation: 2018/03/10
# Last observation: 2019/04/04
Preliminary a, adot, b, bdot, g, gdot:
-0.000020 0.017910 0.000001 -0.000578 0.020765 0.000000
# Chi-squared of fit: 5.87 DOF: 20 RMS: 0.12
# Min/Max residuals: -0.21 0.28
# Exact a, adot, b, bdot, g, gdot:
1.307086E-05 1.798028E-02 2.159527E-07 -5.805916E-04 2.088406E-02 1.089206E-03
# Covariance matrix:
3.7950E-13 5.8831E-13 3.0978E-15 -3.5011E-14 8.4352E-13 5.5567E-11
5.8831E-13 9.1174E-12 2.2076E-14 -3.1871E-13 4.4332E-12 4.8705E-10
3.0978E-15 2.2076E-14 1.6820E-13 -2.0604E-13 1.4827E-14 1.3562E-12
-3.5011E-14 -3.1871E-13 -2.0604E-13 7.8237E-13 -1.8390E-13 -1.8918E-11
8.4352E-13 4.4332E-12 1.4827E-14 -1.8390E-13 3.6651E-12 2.8745E-10
5.5567E-11 4.8705E-10 1.3562E-12 -1.8918E-11 2.8745E-10 2.9051E-08
# lat0 lon0 xBary yBary zBary JD0
1.838744 177.685920 0.146140 0.031616 -0.981707 2458187.992648
# Heliocentric elements and errors
Epoch: 2458180.5000 = 2018/03/03
Mean Anomaly: 140.81541 +/- 4.584
Argument of Peri: 348.55185 +/- 4.546
Long of Asc Node: 41.95109 +/- 0.044
Inclination: 2.57301 +/- 0.002
Eccentricity: 0.09285899 +/- 0.0047
Semi-Major Axis: 45.45314692 +/- 0.0430
Time of Perihelion: 2414398.8576 +/- 1424.0
Perihelion: 41.23241357 +/- 0.2149
Aphelion: 49.67388027 +/- 0.2165
Period (y) 306.4461 +/- 0.43
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -48.79665241 +/- 0.0044
Ecliptic Y 2.11100679 +/- 0.0002
Ecliptic Z 1.53643759 +/- 0.0001
Ecliptic XDOT -0.00023391 +/- 0.0000
Ecliptic YDOT -0.00235392 +/- 0.0000
Ecliptic ZDOT -0.00007164 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 48.86645349 +/- 0.0044
Geocenter to KBO 47.88341249 +/- 0.0044
# Hcoef: 7.69
The following table shows the complete astrometric record for 18FM76. 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 (18FM76) followed by the observatory code and reference code for the source of the astrometry.
2018 03 10.491847 11 54 25.98 +02 36 26.6 18FM76 T09 C~8MgJ 2018 03 18.44927 11 53 54.74 +02 39 48.7 24.3i 18FM76 T09 C~8MgJ 2018 03 18.46645 11 53 54.67 +02 39 49.2 24.6i 18FM76 T09 C~8MgJ 2018 03 18.49491 11 53 54.57 +02 39 49.7 24.6i 18FM76 T09 C~8MgJ 2018 03 18.49758 11 53 54.54 +02 39 49.8 24.2i 18FM76 T09 C~8MgJ 2018 03 18.56803 11 53 54.28 +02 39 51.7 24.6i 18FM76 T09 C~8MgJ 2018 04 24.36214 11 51 40.01 +02 53 42.3 24.1z 18FM76 T09 C~8MgJ 2018 04 24.39066 11 51 39.95 +02 53 42.6 24.2z 18FM76 T09 C~8MgJ 2018 04 24.43452 11 51 39.80 +02 53 43.8 24.2z 18FM76 T09 C~8MgJ 2018 04 24.49071 11 51 39.63 +02 53 44.7 24.0z 18FM76 T09 C~8MgJ 2019 02 05.460553 12 00 02.39 +01 57 22.5 18FM76 T09 C~8MgJ 2019 02 05.500781 12 00 02.28 +01 57 23.3 18FM76 T09 C~8MgJ 2019 04 04.436418 11 56 33.56 +02 20 14.5 18FM76 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 0.11 0.00 -0.14
2 0.0218 -509.87 -0.11 -0.80 0.04
3 0.0218 -511.03 -0.15 -0.76 0.10
4 0.0219 -512.60 0.14 -0.90 -0.02
5 0.0219 -513.06 -0.14 -0.98 -0.11
6 0.0221 -517.39 0.12 -0.79 0.14
7 0.1228 -2693.62 -0.21 -38.40 -0.11
8 0.1229 -2694.56 0.28 -38.48 -0.14
9 0.1230 -2697.10 -0.07 -38.27 0.16
10 0.1232 -2699.80 0.03 -38.46 0.09
11 0.9089 5559.92 0.01 -141.70 -0.08
12 0.9090 5558.09 -0.01 -141.62 -0.04
13 1.0676 2140.94 -0.00 -130.73 0.09
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.
18FM76 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.171 45.345 45.045 ecceobj 0.102 0.115 0.094 incobj 2.579 2.579 2.580 qmin 39.959 39.477 40.236 qmax 50.987 51.833 50.451 amean 45.330 45.487 45.207 amin 44.962 45.105 44.848 amax 45.736 45.911 45.604 emean 0.102 0.115 0.093 emin 0.088 0.100 0.078 emax 0.116 0.129 0.107 imean 1.903 1.897 1.901 imin 1.318 1.301 1.318 imax 2.429 2.423 2.436 excite_mean 0.107 0.120 0.099 fracstop 1.000 1.000 1.000 cjmean 3.104 3.102 3.104 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 175.0 174.1 177.5 kozaiamp 180.0 180.0 180.0