Orbital Analysis for matched events on 20210810_025319.742_UK

Summary for Event
-----------------
shower ID 872 ETR
Lg 37.72° Bg 19.70° Vg 68.53km/s
mass 0.01436g, abs. mag -1.2
Path Details
------------
start -1.30° 54.11° 112.69km
end   -1.38° 54.15° 100.55km

Orbit Details
-------------
Semimajor axis -11.43A.U., eccentricity 1.08, inclination 145.97°, Period 1000000000.00Y, LA Sun 137.42°, 

Full details below
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Detailed report below graphs

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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: 2459436.620367393363
Time: 2021-08-10 02:53:19.742787 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK002Z
 Convergence angle = 8.68826 deg
 R.A. =  31.41370  Dec = +27.36746 deg

Best intersection: Stations UK0026 and UK002Z with Qconv = 8.69 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3812772.03 +/- 40.03 m
 Y =     56187.28 +/- 160.03 m
 Z =   5235396.18 +/- 335.85 m
 Vx =    51453.06 +/- 951.09 m/s
 Vy =    27469.39 +/- 2034.05 m/s
 Vz =    37641.21 +/- 2905.01 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.420743e+03, -4.286900e+03, +8.992554e+03, +4.515526e+03, -3.177505e+04, +6.046121e+04
-4.286900e+03, +2.202241e+04, -4.484607e+04, -1.679683e+04, +1.544150e+05, -3.016221e+05
+8.992554e+03, -4.484607e+04, +9.582457e+04, +2.580375e+04, -3.361966e+05, +6.738757e+05
+4.515526e+03, -1.679683e+04, +2.580375e+04, +4.742573e+04, -2.436315e+04, +2.673982e+04
-3.177505e+04, +1.544150e+05, -3.361966e+05, -2.436315e+04, +1.676154e+06, -3.209651e+06
+6.046121e+04, -3.016221e+05, +6.738757e+05, +2.673982e+04, -3.209651e+06, +6.298143e+06

Timing offsets (from input data):
    UK0026: -0.001073 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:53:19.742787 UTC
  Lon     = +-1.299813 +/- 0.0024 deg
  Lat     = +54.112162 +/- 0.0015 deg
  Lat geo = +53.932383 +/- 0.0015 deg
  Ht      =  112673.79 +/- 290.17 m

  JD dynamic   = 2459436.621168134268 
  LST apparent = 0.8442835840 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  28.09654 +/- 1.2084 deg
  Dec       = +32.83630 +/- 2.3831 deg
  Azimuth   = 126.74951 +/- 0.6668 deg
  Elevation = +61.30307 +/- 2.5838 deg
  Vavg      =  70.07312 +/- 0.4108 km/s
  Vinit     =  69.41790 +/- 0.6255 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  28.33884 +/- 1.2084 deg
  Dec       = +32.77917 +/- 2.3831 deg
  Azimuth   = 126.46544 +/- 0.6668 deg
  Elevation = +61.14171 +/- 2.5838 deg
  Vavg      =  70.18058 +/- 0.4108 km/s
  Vinit     =  69.52536 +/- 0.6255 km/s
Radiant (geocentric, J2000):
  R.A.   =  27.90988 +/- 1.2172 deg
  Dec    = +32.57406 +/- 2.4042 deg
  Vg     =  68.52565 +/- 0.6341 km/s
  Vinf   =  69.41790 +/- 0.6255 km/s
  Zc     =  28.58970 +/- 2.5823 deg
  Zg     =  28.77856 +/- 2.6059 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  37.72401 +/- 0.2475 deg
  Bg     = +19.69876 +/- 2.6258 deg
  Vh     =  42.75333 +/- 1.1537 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  29.35878 +/- 0.4525 deg
  Bh     = +32.70367 +/- 4.2004 deg
  Vh_x   = -31.35541 +/- 0.2163 km/s
  Vh_y   = -17.63815 +/- 0.2887 km/s
  Vh_z   = -23.09938 +/- 3.1303 km/s
Orbit:
  La Sun = 137.424618 +/- -0.0000 deg
  a      = -11.430947 +/- 6.4971 AU
  e      =   1.082871 +/- 0.0956
  i      = 145.966429 +/- 4.3640 deg
  peri   = 209.070886 +/- 2.8102 deg
  node   = 137.421210 +/- 0.0018 deg
  Pi     = 346.492096 +/- 2.8085 deg
  q      =   0.947300 +/- 0.0078 AU
  f      = 330.923117 +/- 2.8118 deg
  M      =        nan +/- nan deg
  Q      = -23.809194 +/- 12.9911 AU
  n      =   0.025502 +/- 0.0615 deg/day
  T      = 1000000000.000000 +/- 182465602.3507 years
  Last perihelion JD = NaN 
  Tj     =  -1.475813 +/- 0.5363
Shower association:
  IAU No.  =  872
  IAU code =  ETR

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.024685e-03, +5.547787e-04, -6.639452e+02, +2.307076e-06, -3.645148e-03, -5.691700e-03
q   , +5.547787e-04, +5.359617e-05, -4.733570e+01, +1.897593e-07, -3.268858e-04, -4.647754e-04
Tp  , -6.639452e+02, -4.733570e+01, +1.254431e+08, -1.899011e-01, +3.138607e+02, +5.238188e+02
node, +2.307076e-06, +1.897593e-07, -1.899011e-01, +7.970959e-10, -1.237214e-06, -1.903974e-06
peri, -3.645148e-03, -3.268858e-04, +3.138607e+02, -1.237214e-06, +2.051017e-03, +3.015362e-03
i   , -5.691700e-03, -4.647754e-04, +5.238188e+02, -1.903974e-06, +3.015362e-03, +4.699322e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 61.292386
 a2 = 3.536549

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 1.297e-05 s
  Stddev    = 3.60e-03 s

Begin point on the trajectory:
  Lon =    -1.299739 +/- 0.0024 deg
  Lat =    54.112129 +/- 0.0015 deg
  Ht  = 112685.04 +/- 295.78 m
End point on the trajectory:
  Lon =    -1.380825 +/- 0.0029 deg
  Lat =    54.147277 +/- 0.0019 deg
  Ht  = 100545.78 +/- 190.51 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
    UK0026,   False,    -0.023645,    52.984073,    6.00,  98.612777,   0.000001,   108348.45,   100545.78,          0.022934,     73.92,     14.41,              87.07, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210810_025314_051_0591104.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  23.514608,   9.866064,   112685.04,   100662.85,          0.009598,     22.98,      6.41,              72.96, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210810_025314_075_0584704.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,     UK0026,       0,  0.079559, 2459436.620368323755, 247.57024,  59.70122,              326.26478,  34.27768,       326.25699,       34.27868,    247.57024,     +59.70122,     247.58145,      +59.69771,  3809116.87,    54235.89,  5232722.20,      54.124674,       -1.328685,  108348.45,  189029.79,       0.00,             4931.36,  -431.41,      0.00,           71459.83,     -4.10,    -21.09,          23.44,  +4.28,  +2.90
  1,     UK0026,       0,  0.120335, 2459436.620368795935, 246.46245,  58.81317,              326.07855,  33.23592,       326.06016,       33.23828,    246.46245,     +58.81317,     246.48853,      +58.80499,  3806525.72,    52852.54,  5230826.61,      54.133550,       -1.349118,  105282.71,  188574.10,    3495.84,             8427.21,   233.85,  85732.89,           71459.83,     -9.78,    -50.29,          56.04,  +1.10,  -0.28
  2,     UK0026,       0,  0.160839, 2459436.620369264390, 245.81894,  58.18803,              325.90488,  32.54124,       325.92934,       32.53810,    245.81894,     +58.18803,     245.78574,      +58.19882,  3804789.85,    51925.81,  5229556.71,      54.139499,       -1.362877,  103229.12,  188306.33,    5837.80,            10769.16,  -235.90,  57820.33,           71459.83,     13.11,     67.29,          75.09,  +0.76,  -0.61
  3,     UK0026,       0,  0.201515, 2459436.620369735174, 244.95797,  57.38058,              325.71871,  31.62597,       325.76191,       31.62042,    244.95797,     +57.38058,     244.89927,      +57.39940,  3802521.41,    50714.75,  5227897.20,      54.147277,       -1.380825,  100545.78,  187998.33,    8898.26,            13829.62,     0.92,  75239.98,           71459.83,     23.37,    119.81,         133.93,  +1.46,  +0.09
  0,     UK002Z,       0,  0.000000, 2459436.620367393363, 284.61743,  64.13252,              317.03365,  51.38523,       317.00455,       51.38681,    284.61743,     +64.13252,     284.63626,      +64.11625,  3812781.54,    56192.35,  5235403.14,      54.112129,       -1.299739,  112685.04,  143384.33,       0.00,               12.83,   172.85,      0.00,           69609.40,    -12.25,    -43.94,          65.62,  +3.44,  +2.66
  1,     UK002Z,       0,  0.040660, 2459436.620367864147, 282.93610,  63.71509,              316.87349,  50.54249,       316.88401,       50.54192,    282.93610,     +63.71509,     282.92908,      +63.72099,  3811079.14,    55283.49,  5234157.73,      54.117956,       -1.313192,  110670.41,  142480.36,    2296.78,             2283.96,  -378.55,  56487.56,           69609.40,      4.48,     16.07,          24.15,  +0.99,  +0.22
  2,     UK002Z,       0,  0.081592, 2459436.620368337724, 280.59611,  63.11717,              316.70490,  49.34164,       316.72178,       49.34073,    280.59611,     +63.11717,     280.58409,      +63.12669,  3808693.16,    54009.68,  5232412.23,      54.126125,       -1.332001,  107847.11,  141264.76,    5515.83,             5503.00,    -0.92,  78643.75,           69609.40,      7.31,     26.20,          39.72,  +0.63,  -0.12
  3,     UK002Z,       0,  0.122440, 2459436.620368810371, 278.53479,  62.55240,              316.57908,  48.24728,       316.58038,       48.24721,    278.53479,     +62.55240,     278.53430,      +62.55314,  3806556.20,    52868.82,  5230848.91,      54.133446,       -1.348885,  105318.77,  140230.50,    8398.91,             8386.08,    46.58,  70580.72,           69609.40,      0.57,      2.05,           3.12,  +0.18,  -0.55
  4,     UK002Z,       0,  0.163264, 2459436.620369283017, 276.62798,  61.97933,              316.45958,  47.19408,       316.44967,       47.19461,    276.62798,     +61.97933,     276.63669,      +61.97372,  3804528.37,    51786.21,  5229365.42,      54.140396,       -1.364932,  102919.80,  139297.56,   11134.76,            11121.93,   -51.49,  67015.66,           69488.80,     -4.42,    -15.82,          24.33,  +0.17,  -0.55
  5,     UK002Z,       0,  0.204052, 2459436.620369755197, 274.89156,  61.40020,              316.33345,  46.19111,       316.32957,       46.19132,    274.89156,     +61.40020,     274.89568,      +61.39800,  3802620.40,    50767.60,  5227969.62,      54.146937,       -1.380056,  100662.85,  138463.85,   13708.90,            13696.07,  -308.77,  63110.29,           68544.14,     -1.75,     -6.27,           9.70,  +1.15,  +0.44
  6,     UK002Z,       1,  0.244968, 2459436.620370228775, 272.98651,  60.69950,              316.17929,  45.03807,       316.19734,       45.03709,    272.98651,     +60.69950,     272.97175,      +60.70970,  3800452.34,    49610.13,  5226383.54,      54.154374,       -1.397238,   98098.53,  137568.29,   16633.94,            16621.11,  -224.03,  71488.81,           68522.82,      8.26,     29.58,          46.05,  +5.70,  +5.01

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.