Orbital Analysis for matched events on 20210929_042405.537_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 106.46° Bg 3.14° Vg 69.17km/s
mass 0.01371g, abs. mag -0.5
Path Details
------------
start 2.18° 52.99° 112.64km
end   2.08° 53.03° 101.65km

Orbit Details
-------------
Semimajor axis 5.81A.U., eccentricity 0.84, inclination 174.32°, Period 14.01Y, LA Sun 185.96°, last Perihelion 2021-09-02

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: 2459486.683397426270
Time: 2021-09-29 04:24:05.537630 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 39.05880 deg
 R.A. = 109.82232  Dec = +24.96820 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 39.06 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    923528.77 +/- 133.68 m
 Y =   3805206.58 +/- 142.11 m
 Z =   5159695.77 +/- 66.10 m
 Vx =   -19985.31 +/- 284.35 m/s
 Vy =    59871.15 +/- 2501.04 m/s
 Vz =    30384.29 +/- 1576.53 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.308942e+04, -7.498850e+03, -2.725012e+03, +3.983332e+04, -4.003016e+04, -2.241379e+04
-7.498850e+03, +9.953550e+03, +3.672773e+03, -5.852388e+03, +7.289381e+03, +4.038798e+03
-2.725012e+03, +3.672773e+03, +2.474736e+03, -1.122099e+04, +7.152648e+03, +1.133868e+04
+3.983332e+04, -5.852388e+03, -1.122099e+04, +3.991199e+05, -3.322884e+05, -2.601848e+05
-4.003016e+04, +7.289381e+03, +7.152648e+03, -3.322884e+05, +2.889833e+05, +2.034738e+05
-2.241379e+04, +4.038798e+03, +1.133868e+04, -2.601848e+05, +2.034738e+05, +1.866770e+05

Timing offsets (from input data):
    UK002K: -0.000036 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:24:05.537630 UTC
  Lon     = ++2.178963 +/- 0.0023 deg
  Lat     = +52.987214 +/- 0.0005 deg
  Lat geo = +52.805272 +/- 0.0005 deg
  Ht      =  112678.01 +/- 117.71 m

  JD dynamic   = 2459486.684198167175 
  LST apparent = 76.3580103685 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 108.45928 +/- 0.9491 deg
  Dec       = +25.70540 +/- 0.3754 deg
  Azimuth   = 126.03749 +/- 0.9045 deg
  Elevation = +53.69074 +/- 0.7584 deg
  Vavg      =  67.71167 +/- 2.1316 km/s
  Vinit     =  70.05121 +/- 2.6762 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 108.67832 +/- 0.9491 deg
  Dec       = +25.65151 +/- 0.3754 deg
  Azimuth   = 125.80674 +/- 0.9045 deg
  Elevation = +53.53863 +/- 0.7584 deg
  Vavg      =  67.84884 +/- 2.1316 km/s
  Vinit     =  70.18838 +/- 2.6762 km/s
Radiant (geocentric, J2000):
  R.A.   = 108.26919 +/- 0.9440 deg
  Dec    = +25.54402 +/- 0.3648 deg
  Vg     =  69.16718 +/- 2.7070 km/s
  Vinf   =  70.05121 +/- 2.6762 km/s
  Zc     =  36.20248 +/- 0.7606 deg
  Zg     =  36.44033 +/- 0.7493 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 106.45526 +/- 0.8924 deg
  Bg     =  +3.14387 +/- 0.2687 deg
  Vh     =  40.23003 +/- 2.8188 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 113.54466 +/- 1.0225 deg
  Bh     =  +5.41379 +/- 0.5460 deg
  Vh_x   =  15.99876 +/- 1.9060 km/s
  Vh_y   = -36.71632 +/- 2.2430 km/s
  Vh_z   =  -3.79562 +/- 0.2518 km/s
Orbit:
  La Sun = 185.956230 +/- nan deg
  a      =   5.812298 +/- 8.7352 AU
  e      =   0.844686 +/- 0.2538
  i      = 174.322267 +/- 0.5531 deg
  peri   = 141.627213 +/- 1.8647 deg
  node   = 185.951852 +/- 0.0009 deg
  Pi     = 327.579065 +/- 1.8639 deg
  q      =   0.902733 +/- 0.0009 AU
  f      =  38.366309 +/- 1.8655 deg
  M      =   1.856204 +/- nan deg
  Q      =  10.721862 +/- 17.4705 AU
  n      =   0.070337 +/- 0.1821 deg/day
  T      =  14.012719 +/- 471404501.4641 years
  Last perihelion JD = 2459460.293957 (2021-09-02 19:03:17.877811) +/- 0.9530 days
  Tj     =  -0.230396 +/- 1.5363
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.157525e-03, -1.910221e-05, +7.610558e-02, +2.581362e-07, +1.019716e-03, -1.828984e-04
q   , -1.910221e-05, +3.294868e-07, -2.776015e-04, -2.973110e-09, -3.276219e-06, +2.174626e-06
Tp  , +7.610558e-02, -2.776015e-04, +1.123664e+00, +3.790050e-06, +1.506439e-02, -2.684839e-03
node, +2.581362e-07, -2.973110e-09, +3.790050e-06, +4.516184e-11, +4.738047e-08, -3.404978e-08
peri, +1.019716e-03, -3.276219e-06, +1.506439e-02, +4.738047e-08, +2.027237e-04, -3.344998e-05
i   , -1.828984e-04, +2.174626e-06, -2.684839e-03, -3.404978e-08, -3.344998e-05, +2.573752e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 118.755233

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 2.408e-06 s
  Stddev    = 1.55e-03 s

Begin point on the trajectory:
  Lon =     2.178648 +/- 0.0023 deg
  Lat =    52.987352 +/- 0.0003 deg
  Ht  = 112641.78 +/- 76.61 m
End point on the trajectory:
  Lon =     2.081947 +/- 0.0039 deg
  Lat =    53.029357 +/- 0.0006 deg
  Ht  = 101650.83 +/- 110.33 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   111810.83,   103049.29,          0.007975,     27.16,     11.91,              22.23, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210929_042358_174_0906240.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000083,  78.011741,   112641.78,   101650.83,          0.039436,     58.18,    106.84,              27.72, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210929_042403_443_0908032.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,     UK002K,       0,  0.007750, 2459486.683397516608, 131.04175,  14.27416,              108.65541,  30.65759,       108.63788,       30.66386,    131.04175,     +14.27416,     131.05068,      +14.28803,   923835.79,  3804286.81,  5159228.99,      52.990524,       +2.171389,  111810.83,  214052.49,       0.00,             1076.17,   394.88,      0.00,           68254.78,    -24.50,    -55.89,          58.81,  +2.39,  +0.74
  1,     UK002K,       0,  0.047938, 2459486.683397981338, 131.28415,  14.14667,              108.51939,  30.41729,       108.51929,       30.41733,    131.28415,     +14.14667,     131.28440,      +14.14675,   924531.31,  3802203.23,  5158171.58,      52.998025,       +2.154125,  109846.60,  211819.44,    2437.86,             3514.03,    17.53,  60661.41,           68254.78,     -0.14,     -0.32,           0.34,  +1.96,  +0.33
  2,     UK002K,       0,  0.088154, 2459486.683398446999, 131.53060,  13.99168,              108.39840,  30.15223,       108.39333,       30.15405,    131.53060,     +13.99168,     131.53356,      +13.99571,   925257.72,  3800027.07,  5157067.19,      53.005861,       +2.136084,  107795.44,  209492.57,    4984.03,             6060.20,  -253.48,  63312.38,           68254.78,     -6.98,    -15.90,          17.10,  +1.62,  +0.01
  3,     UK002K,       0,  0.128430, 2459486.683398913126, 131.86906,  13.79754,              108.22001,  29.80329,       108.22555,       29.80131,    131.86906,     +13.79754,     131.86675,      +13.79314,   926204.58,  3797190.51,  5155627.65,      53.016079,       +2.112593,  105122.31,  206470.31,    8302.91,             9379.07,   244.01,  82403.27,           68254.78,      7.53,     17.14,          18.70,  +1.65,  +0.08
  4,     UK002K,       0,  0.168658, 2459486.683399378788, 132.12979,  13.63063,              108.09447,  29.52024,       108.09311,       29.52073,    132.12979,     +13.63063,     132.13119,      +13.63171,   926939.01,  3794990.34,  5154511.08,      53.024007,       +2.094313,  103049.29,  204130.51,   10877.18,            11953.34,     0.26,  63992.09,           68653.69,     -1.82,     -4.16,           4.59,  +2.10,  +0.55
  5,     UK002K,       1,  0.208798, 2459486.683399843518, 132.33289,  13.55152,              107.96287,  29.34110,       108.00229,       29.32695,    132.33289,     +13.55152,     132.31346,      +13.52002,   927437.65,  3793496.51,  5153752.97,      53.029391,       +2.081838,  101641.97,  202542.24,   12625.01,            13701.17, -1063.77,  43543.25,           65188.84,     53.01,    120.22,         133.80,  +5.41,  +3.88
  0,     UK0032,       0,  0.000000, 2459486.683397426270, 140.91300,  28.81136,               89.00022,  36.36815,        88.97935,       36.38494,    140.91300,     +28.81136,     140.91377,      +28.83510,   923541.60,  3805168.16,  5159676.27,      52.987352,       +2.178648,  112641.78,  186936.64,       0.00,               44.96,   -93.44,      0.00,           72047.05,    -67.93,    -37.29,          85.50,  +3.30,  +1.94
  1,     UK0032,       0,  0.040256, 2459486.683397892397, 141.41084,  28.80229,               88.61500,  36.06191,        88.59616,       36.07701,    141.41084,     +28.80229,     141.41179,      +28.82372,   924372.71,  3802678.35,  5158412.70,      52.996315,       +2.158057,  110294.48,  184383.20,    2913.16,             2958.12,    -0.26,  72365.82,           72047.05,    -60.49,    -33.19,          77.18,  +1.84,  +0.51
  2,     UK0032,       0,  0.080504, 2459486.683398358058, 141.89567,  28.78716,               88.24650,  35.75913,        88.22558,       35.77584,    141.89567,     +28.78716,     141.89699,      +28.81096,   925161.21,  3800316.18,  5157213.91,      53.004820,       +2.138492,  108067.92,  181970.35,    5676.98,             5721.94,   -55.86,  68669.67,           72047.05,    -66.32,    -36.39,          85.74,  +1.13,  -0.17
  3,     UK0032,       0,  0.120764, 2459486.683398824185, 142.45099,  28.80383,               87.79727,  35.43713,        87.80583,       35.43031,    142.45099,     +28.80383,     142.45105,      +28.79408,   926036.79,  3797693.16,  5155882.74,      53.014268,       +2.116760,  105595.96,  179304.14,    8745.99,             8790.95,   192.89,  76229.90,           72047.05,     26.79,     14.66,          35.13,  +1.54,  +0.27
  4,     UK0032,       0,  0.161020, 2459486.683399289846, 142.92970,  28.77272,               87.44965,  35.12655,        87.44511,       35.13016,    142.92970,     +28.77272,     142.93063,      +28.77789,   926774.85,  3795482.10,  5154760.64,      53.022235,       +2.098395,  103512.60,  177065.51,   11333.01,            11377.97,   -40.08,  64264.11,           70796.16,    -14.04,     -7.69,          18.65,  +1.76,  +0.52
  5,     UK0032,       0,  0.201184, 2459486.683399754576, 143.37301,  28.84895,               87.04078,  34.91542,        87.11722,       34.85471,    143.37301,     +28.84895,     143.36933,      +28.76176,   927434.52,  3793505.90,  5153757.73,      53.029357,       +2.081947,  101650.83,  175071.96,   13645.22,            13690.18,  -541.40,  57569.32,           68553.73,    234.32,    127.37,         314.21,  +3.98,  +2.76

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.