Orbital Analysis for matched events on 20211103_060033.162_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 102.85° Bg -5.73° Vg 63.04km/s
mass 0.01053g, abs. mag -0.1
best visual mag 0.3
Path Details
------------
start -3.29° 49.80° 109.09km
end   -3.22° 49.85° 99.37km

Orbit Details
-------------
Semimajor axis 4.09A.U., eccentricity 0.90, inclination 166.08°, Period 8.27Y, LA Sun 220.74°, last Perihelion 2013-09-07

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459521.750383825973
Time: 2021-11-03 06:00:33.162564 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003E
 Convergence angle = 80.16485 deg
 R.A. = 104.26378  Dec = +17.17855 deg

Best intersection: Stations UK0021 and UK003E with Qconv = 80.16 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2672459.41 +/- 90.03 m
 Y =   3234418.40 +/- 91.16 m
 Z =   4931559.83 +/- 17.49 m
 Vx =   -14625.87 +/- 240.00 m/s
 Vy =    59318.07 +/- 1057.70 m/s
 Vz =    19086.96 +/- 500.58 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.127764e+03, -4.904994e+03, -3.451317e+02, +4.024958e+04, -4.647583e+04, -3.145603e+03
-4.904994e+03, +4.828157e+03, +4.421797e+02, -3.923191e+04, +4.538429e+04, +3.956805e+03
-3.451317e+02, +4.421797e+02, +1.808468e+02, -3.758056e+03, +4.488378e+03, +1.510333e+03
+4.024958e+04, -3.923191e+04, -3.758056e+03, +4.033736e+05, -4.702080e+05, -5.803937e+04
-4.647583e+04, +4.538429e+04, +4.488378e+03, -4.702080e+05, +5.522076e+05, +7.205398e+04
-3.145603e+03, +3.956805e+03, +1.510333e+03, -5.803937e+04, +7.205398e+04, +2.379969e+04

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK0025: 0.000000 s
    UK003E: 0.000051 s

Reference point on the trajectory:
  Time: 2021-11-03 06:00:33.162564 UTC
  Lon     = +-3.292151 +/- 0.0002 deg
  Lat     = +49.796300 +/- 0.0008 deg
  Lat geo = +49.609661 +/- 0.0008 deg
  Ht      =  109101.19 +/- 92.15 m

  JD dynamic   = 2459521.751184566878 
  LST apparent = 129.5654433254 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 103.85097 +/- 0.4531 deg
  Dec       = +17.34967 +/- 0.1749 deg
  Azimuth   = 221.73117 +/- 0.7340 deg
  Elevation = +51.52446 +/- 0.1000 deg
  Vavg      =  60.00996 +/- 0.5260 km/s
  Vinit     =  64.00673 +/- 1.0519 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 104.11004 +/- 0.4531 deg
  Dec       = +17.38501 +/- 0.1749 deg
  Azimuth   = 221.40099 +/- 0.7340 deg
  Elevation = +51.66700 +/- 0.1000 deg
  Vavg      =  59.88386 +/- 0.5260 km/s
  Vinit     =  63.88063 +/- 1.0519 km/s
Radiant (geocentric, J2000):
  R.A.   = 103.39071 +/- 0.4600 deg
  Dec    = +17.10726 +/- 0.1684 deg
  Vg     =  63.03763 +/- 1.0671 km/s
  Vinf   =  64.00673 +/- 1.0519 km/s
  Zc     =  38.33643 +/- 0.1007 deg
  Zg     =  38.64028 +/- 0.1074 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 102.85339 +/- 0.4547 deg
  Bg     =  -5.73498 +/- 0.1339 deg
  Vh     =  39.64170 +/- 0.8357 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.21741 +/- 1.1869 deg
  Bh     =  -9.14306 +/- 0.1932 deg
  Vh_x   =  -5.97582 +/- 0.7483 km/s
  Vh_y   = -38.67914 +/- 0.8988 km/s
  Vh_z   =   6.29907 +/- 0.2392 km/s
Orbit:
  La Sun = 220.737096 +/- 0.0000 deg
  a      =   4.088505 +/- 30.0470 AU
  e      =   0.902262 +/- 0.0332
  i      = 166.076422 +/- 0.2577 deg
  peri   = 105.012985 +/- 4.7333 deg
  node   =  40.735876 +/- 0.0001 deg
  Pi     = 145.748860 +/- 4.7333 deg
  q      =   0.399602 +/- 0.0305 AU
  f      = 254.983578 +/- 4.7333 deg
  M      = 355.174038 +/- nan deg
  Q      =   7.777408 +/- 60.1001 AU
  n      =   0.119222 +/- 0.0329 deg/day
  T      =   8.266991 +/- nan years
  Last perihelion JD = 2456542.658699 (2013-09-07 03:48:31.568315) +/- 53621.2504 days
  Tj     =   0.530998 +/- 0.4386
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.243548e-04, +6.358625e-04, -7.954020e+02, -6.127896e-07, -9.836093e-02, +2.382355e-03
q   , +6.358625e-04, +6.756721e-04, -6.811178e+02, -4.385263e-07, -1.040624e-01, +1.694244e-03
Tp  , -7.954020e+02, -6.811178e+02, +2.244201e+09, +2.095982e+00, +1.077301e+05, -8.114876e+03
node, -6.127896e-07, -4.385263e-07, +2.095982e+00, +3.467326e-09, +7.138600e-05, -1.368913e-05
peri, -9.836093e-02, -1.040624e-01, +1.077301e+05, +7.138600e-05, +1.603455e+01, -2.760602e-01
i   , +2.382355e-03, +1.694244e-03, -8.114876e+03, -1.368913e-05, -2.760602e-01, +5.408089e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.152324
 a2 = 41.368946

Mean time residuals from time vs. length:
  Station with reference time: UK0021
  Avg. res. = 6.812e-06 s
  Stddev    = 2.61e-03 s

Begin point on the trajectory:
  Lon =    -3.292042 +/- 0.0002 deg
  Lat =    49.796379 +/- 0.0008 deg
  Ht  = 109086.15 +/- 91.07 m
End point on the trajectory:
  Lon =    -3.222468 +/- 0.0002 deg
  Lat =    49.847400 +/- 0.0005 deg
  Ht  = 99369.08 +/- 58.44 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.077441,  43.686330,   109086.15,    99369.08,          0.006950,     14.01,     10.40,              31.44, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20211103_060027_874_1135616.fits"}
    UK0025,    True,    -2.949750,    50.877380,   82.00,  18.231037,  11.273589,   107217.80,   101359.25,          0.054266,       nan,       nan,              21.72, 0.0000,    True,    True, {"ff_name": "FF_UK0025_20211103_060028_892_1142016.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   105422.80,    99958.51,          0.012154,     35.07,     32.26,              23.73, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20211103_060025_812_1148416.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK0021,       0,  0.000000, 2459521.750383825973, 135.69856,   7.53870,              170.82068,  46.52422,       170.81502,       46.53205,    135.69856,      +7.53870,     135.70166,       +7.54689, -2672455.02,  3234400.60,  4931554.10,      49.796379,       -3.292042,  109086.15,  149162.19,       0.00,               19.21,   -99.42,      0.00,           64691.51,    -13.56,    -18.28,          31.48,  +1.76,  +0.89
  1,     UK0021,       0,  0.039988, 2459521.750384288840, 136.22807,   7.34752,              170.09295,  46.27850,       170.09215,       46.27959,    136.22807,      +7.34752,     136.22867,       +7.34866, -2671841.75,  3231913.35,  4930753.77,      49.807397,       -3.277022,  106985.27,  146905.60,    2683.86,             2703.07,    24.93,  67116.52,           64691.51,     -1.87,     -2.52,           4.40,  +1.21,  +0.37
  2,     UK0021,       0,  0.079984, 2459521.750384751707, 136.74058,   7.15567,              169.39525,  46.03008,       169.39558,       46.02964,    136.74058,      +7.15567,     136.74074,       +7.15520, -2671262.53,  3229564.20,  4929997.88,      49.817808,       -3.262830,  105001.42,  144787.44,    5218.68,             5237.89,    -0.26,  63376.92,           64691.51,      0.75,      1.01,           1.79,  +0.74,  -0.06
  3,     UK0021,       0,  0.119972, 2459521.750385214575, 137.27630,   6.96369,              168.67041,  45.77496,       168.67780,       45.76525,    137.27630,      +6.96369,     137.27287,       +6.95341, -2670677.55,  3227191.71,  4929234.47,      49.828326,       -3.248480,  102998.24,  142661.86,    7778.70,             7797.91,     0.26,  64019.69,           64691.51,     16.32,     21.98,          39.59,  +0.55,  -0.22
  4,     UK0021,       0,  0.159972, 2459521.750385677442, 137.80370,   6.76113,              167.96517,  45.50645,       167.97159,       45.49815,    137.80370,      +6.76113,     137.80099,       +6.75231, -2670113.01,  3224902.11,  4928497.74,      49.838482,       -3.234623,  101065.39,  140624.03,   10249.27,            10268.49,   -89.43,  61764.40,           63994.96,     13.81,     18.60,          33.97,  +0.32,  -0.42
  5,     UK0021,       0,  0.199980, 2459521.750386140775, 138.27594,   6.57166,              167.34041,  45.25477,       167.34129,       45.25366,    138.27594,      +6.57166,     138.27632,       +6.57047, -2669617.48,  3222892.37,  4927851.06,      49.847400,       -3.222468,   99369.08,  138846.48,   12417.87,            12437.08,  -481.62,  54204.06,           62396.70,      1.84,      2.48,           4.58,  +3.02,  +2.31
  0,     UK0025,       1,  0.032799, 2459521.750384205487, 121.38307,   2.02854,              191.25531,  40.62316,       191.24361,       40.63552,    121.38307,      +2.02854,     121.39355,       +2.03972, -2671909.64,  3232188.67,  4930842.36,      49.806177,       -3.278674,  107217.80,  162703.68,       0.00,             2405.98,   188.02,      0.00,           62405.74,     -7.77,    -42.53,          54.80,  +4.35,  +3.29
  1,     UK0025,       1,  0.073059, 2459521.750384671614, 121.56812,   1.78601,              190.97502,  40.40494,       190.92484,       40.45751,    121.56812,      +1.78601,     121.61267,       +1.83363, -2671412.44,  3230172.19,  4930193.51,      49.815113,       -3.266519,  105514.83,  160705.51,    2175.87,             4581.85,  -213.03,  54045.40,           62405.74,    -32.34,   -179.38,         233.94,  +3.93,  +2.90
  2,     UK0025,       1,  0.113367, 2459521.750385138206, 121.85566,   1.53368,              190.56179,  40.18827,       190.52133,       40.23045,    121.85566,      +1.53368,     121.89171,       +1.57201, -2670798.67,  3227682.93,  4929392.53,      49.826148,       -3.251459,  103412.95,  158244.73,    4861.89,             7267.87,  -106.98,  66637.51,           62405.74,    -25.69,   -142.10,         188.22,  +1.76,  +0.76
  3,     UK0025,       1,  0.153683, 2459521.750385604799, 122.12595,   1.25870,              190.17018,  39.94575,       190.11755,       40.00020,    122.12595,      +1.25870,     122.17274,       +1.30833, -2670198.85,  3225250.23,  4928609.75,      49.836938,       -3.236730,  101359.25,  155846.92,    7486.87,             9892.85,   -62.50,  65110.18,           62405.74,    -32.65,   -181.39,         243.93,  +1.71,  +0.75
  0,     UK003E,       0,  0.069664, 2459521.750384631567, 102.73689,  -7.09263,              211.79503,  26.68931,       211.80849,       26.68568,    102.73689,      -7.09263,     102.72453,       -7.09207, -2671385.57,  3230063.21,  4930158.44,      49.815596,       -3.265838,  105422.80,  227373.01,       0.00,             4699.44,   121.86,      0.00,           58797.50,    -33.73,     36.73,          45.24,  +2.00,  +0.22
  1,     UK003E,       0,  0.109868, 2459521.750385096762, 102.69635,  -7.34785,              211.74288,  26.43519,       211.72871,       26.43900,    102.69635,      -7.34785,     102.71016,       -7.34846, -2670828.73,  3227804.84,  4929431.76,      49.825608,       -3.252190,  103515.88,  225162.72,    2436.88,             7136.32,   -14.59,  60612.89,           58797.50,     35.27,    -38.31,          47.70,  +1.96,  +0.20
  2,     UK003E,       0,  0.150088, 2459521.750385562424, 102.67825,  -7.63561,              211.65553,  26.15770,       211.63923,       26.16208,    102.67825,      -7.63561,     102.69427,       -7.63632, -2670216.32,  3225321.11,  4928632.56,      49.836623,       -3.237149,  101419.08,  222736.66,    5116.92,             9816.37,    91.10,  66634.56,           58797.50,     40.22,    -43.67,          54.98,  +1.19,  -0.55
  3,     UK003E,       0,  0.190236, 2459521.750386027154, 102.67641,  -7.84031,              211.58215,  25.96390,       211.57691,       25.96531,    102.67641,      -7.84031,     102.68216,       -7.84053, -2669789.67,  3223590.75,  4928075.78,      49.844301,       -3.226710,   99958.51,  221051.51,    6984.06,            11683.50,  -611.51,  46506.24,           58797.50,     12.83,    -13.94,          17.68,  +5.10,  +3.38

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.