Orbital Analysis for matched events on 20210816_032036.585_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 60.36° Bg -12.91° Vg 71.87km/s
mass 0.00640g, abs. mag 0.6
Path Details
------------
start 0.06° 51.37° 112.33km
end   -0.08° 51.43° 104.85km

Orbit Details
-------------
Semimajor axis -4.81A.U., eccentricity 1.20, inclination 158.17°, Period 1000000000.00Y, LA Sun 143.20°, 

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: 2459442.639312333893
Time: 2021-08-16 03:20:36.585648 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002C
 Convergence angle = 62.01609 deg
 R.A. =  61.46827  Dec =  +8.54263 deg

Best intersection: Stations UK000F and UK002C with Qconv = 62.02 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3922303.31 +/- 169.52 m
 Y =   1048351.28 +/- 267.26 m
 Z =   5047501.47 +/- 74.45 m
 Vx =    34922.05 +/- 903.48 m/s
 Vy =    62989.72 +/- 1431.33 m/s
 Vz =    10057.53 +/- 604.79 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK002C: -0.000708 s

Reference point on the trajectory:
  Time: 2021-08-16 03:20:36.585648 UTC
  Lon     = ++0.067453 +/- 0.0030 deg
  Lat     = +51.372888 +/- 0.0013 deg
  Lat geo = +51.188331 +/- 0.0013 deg
  Ht      =  112540.36 +/- 193.72 m

  JD dynamic   = 2459442.640113074798 
  LST apparent = 14.9641939370 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  60.99563 +/- 0.1477 deg
  Dec       =  +7.94961 +/- 0.3128 deg
  Azimuth   = 122.31221 +/- 0.2543 deg
  Elevation = +32.49825 +/- 0.2723 deg
  Vavg      =  67.42031 +/- 1.0196 km/s
  Vinit     =  72.72145 +/- 1.5354 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  61.15867 +/- 0.1477 deg
  Dec       =  +7.92643 +/- 0.3128 deg
  Azimuth   = 122.16498 +/- 0.2543 deg
  Elevation = +32.39255 +/- 0.2723 deg
  Vavg      =  67.63164 +/- 1.0196 km/s
  Vinit     =  72.93277 +/- 1.5354 km/s
Radiant (geocentric, J2000):
  R.A.   =  60.90402 +/- 0.1498 deg
  Dec    =  +7.57938 +/- 0.3258 deg
  Vg     =  71.87033 +/- 1.5520 km/s
  Vinf   =  72.72145 +/- 1.5354 km/s
  Zc     =  57.40324 +/- 0.2718 deg
  Zg     =  57.77255 +/- 0.2873 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.36086 +/- 0.1617 deg
  Bg     = -12.91494 +/- 0.3211 deg
  Vh     =  44.00451 +/- 1.4827 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  65.02782 +/- 0.2823 deg
  Bh     = -21.40982 +/- 0.7523 deg
  Vh_x   = -17.29575 +/- 0.7794 km/s
  Vh_y   = -37.13793 +/- 1.4185 km/s
  Vh_z   =  16.06325 +/- 0.1023 km/s
Orbit:
  La Sun = 143.204091 +/- -0.0000 deg
  a      =  -4.813780 +/- 0.8543 AU
  e      =   1.203353 +/- 0.1558
  i      = 158.169983 +/- 0.7705 deg
  peri   = 339.890597 +/- 0.9312 deg
  node   = 323.213495 +/- 0.0003 deg
  Pi     = 303.104092 +/- 0.9315 deg
  q      =   0.978898 +/- 0.0020 AU
  f      =  20.117615 +/- 0.9309 deg
  M      =        nan +/- nan deg
  Q      = -10.606459 +/- 1.7073 AU
  n      =   0.093320 +/- 0.1719 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -2.276331 +/- 0.8690
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

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

Mean time residuals from time vs. length:
  Station with reference time: UK000F
  Avg. res. = 3.375e-05 s
  Stddev    = 5.81e-03 s

Begin point on the trajectory:
  Lon =     0.063485 +/- 0.0017 deg
  Lat =    51.374458 +/- 0.0006 deg
  Ht  = 112328.41 +/- 137.05 m
End point on the trajectory:
  Lon =    -0.077954 +/- 0.0014 deg
  Lat =    51.429956 +/- 0.0004 deg
  Ht  = 104848.10 +/- 106.46 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   112328.41,   104848.10,          0.027028,     63.62,     29.15,              12.67, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20210816_032036_626_0650496.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   110755.96,   105210.99,          0.010267,     18.07,     24.27,              26.48, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210816_032029_938_0651776.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,     UK000F,       0,  0.000000, 2459442.639312333893,  54.17421,  19.41123,              120.28950,  44.71782,       120.28756,       44.71774,     54.17421,     +19.41123,      54.17546,      +19.41194,  3922113.87,  1048009.58,  5047446.91,      51.374458,       +0.063485,  112328.41,  158146.95,       0.00,              394.49,   532.64,      0.00,           68324.37,      1.60,      3.47,           4.98,  +4.87,  +3.87
  1,     UK000F,       0,  0.039824, 2459442.639312794898,  54.08353,  19.59808,              120.23989,  44.92026,       120.27337,       44.92176,     54.08353,     +19.59808,      54.06204,      +19.58590,  3920962.99,  1045933.70,  5047115.45,      51.384001,       +0.039197,  111041.16,  155807.94,    2396.60,             2791.09,    33.18,  60179.88,           68324.37,    -27.07,    -58.64,          85.50,  +2.67,  +1.71
  2,     UK000F,       0,  0.079628, 2459442.639313255437,  53.90950,  19.78088,              120.28453,  45.16371,       120.25598,       45.16251,     53.90950,     +19.78088,      53.92817,      +19.79129,  3919645.74,  1043557.76,  5046736.09,      51.394921,       +0.011399,  109568.61,  153134.36,    5139.62,             5534.10,  -118.41,  68913.03,           68324.37,     22.47,     48.99,          72.60,  +1.46,  +0.53
  3,     UK000F,       0,  0.119392, 2459442.639313715510,  53.79364,  20.03527,              120.20698,  45.43502,       120.23568,       45.43629,     53.79364,     +20.03527,      53.77571,      +20.02488,  3918200.24,  1040950.47,  5046319.78,      51.406902,       -0.019119,  107953.61,  150204.35,    8149.73,             8544.21,     0.01,  75699.35,           68324.37,    -22.15,    -48.03,          72.63,  +1.38,  +0.50
  4,     UK000F,       0,  0.159184, 2459442.639314176049,  53.59371,  20.22881,              120.27064,  45.70093,       120.21630,       45.69871,     53.59371,     +20.22881,      53.62899,      +20.24856,  3916866.71,  1038545.15,  5045935.73,      51.417954,       -0.047313,  106464.57,  147503.92,   10926.66,            11321.14,  -116.79,  69786.18,           69373.38,     40.69,     89.01,         136.85,  +1.43,  +0.59
  5,     UK000F,       0,  0.198936, 2459442.639314636122,  53.42642,  20.48019,              120.25063,  45.99690,       120.19391,       45.99460,     53.42642,     +20.48019,      53.46322,      +20.50074,  3915418.21,  1035932.46,  5045518.56,      51.429956,       -0.077954,  104848.10,  144574.92,   13943.00,            14337.49,     8.73,  75878.99,           70601.52,     41.40,     90.60,         142.11,  +2.85,  +2.05
  0,     UK002C,       1,  0.000464, 2459442.639312369283,  76.65377,  31.22544,               88.02660,  39.99186,        88.02634,       39.99041,     76.65377,     +31.22544,      76.65516,      +31.22460,  3921773.50,  1047395.63,  5047348.88,      51.377281,       +0.056340,  111947.64,  171912.78,       0.00,             1103.29,  1207.69,      0.00,           63310.91,      3.51,      2.62,           5.26,  +4.93,  +3.75
  1,     UK002C,       0,  0.040372, 2459442.639312831219,  76.86756,  31.51971,               87.58304,  40.05926,        87.57948,       40.03853,     76.86756,     +31.51971,      76.88770,      +31.50757,  3920707.91,  1045473.62,  5047041.99,      51.386115,       +0.033836,  110755.96,  169938.35,    2218.96,             3322.25,   524.48,  55601.84,           63310.91,     49.74,     37.04,          75.27,  +2.09,  +0.94
  2,     UK002C,       0,  0.080308, 2459442.639313293621,  77.16464,  31.83540,               87.05589,  40.08864,        87.05647,       40.09221,     77.16464,     +31.83540,      77.16154,      +31.83749,  3919493.11,  1043282.44,  5046692.13,      51.396186,       +0.008182,  109398.03,  167696.38,    4748.67,             5851.96,   149.99,  63344.11,           63310.91,     -8.43,     -6.27,          12.92,  +1.72,  +0.60
  3,     UK002C,       0,  0.120200, 2459442.639313755091,  77.47402,  32.21947,               86.45407,  40.15596,        86.45327,       40.15076,     77.47402,     +32.21947,      77.47954,      +32.21641,  3918133.36,  1040829.84,  5046300.52,      51.407456,       -0.020538,  107878.91,  165198.15,    7580.19,             8683.48,    80.51,  70979.77,           63310.91,     12.09,      9.01,          18.83,  +1.52,  +0.43
  4,     UK002C,       0,  0.160116, 2459442.639314217027,  77.78291,  32.56764,               85.88742,  40.19843,        85.88808,       40.20295,     77.78291,     +32.56764,      77.77921,      +32.57031,  3916897.52,  1038600.72,  5045944.60,      51.417698,       -0.046680,  106498.96,  162936.46,   10153.70,            11256.99,  -248.73,  64473.16,           64310.98,    -10.38,     -7.73,          16.38,  +1.51,  +0.45
  5,     UK002C,       0,  0.200024, 2459442.639314678963,  78.07308,  32.90604,               85.34442,  40.24524,        85.34516,       40.25060,     78.07308,     +32.90604,      78.06874,      +32.90922,  3915743.48,  1036519.15,  5045612.24,      51.427261,       -0.071123,  105210.99,  160832.59,   12556.86,            13660.15,  -747.74,  60217.48,           64012.04,    -12.12,     -9.03,          19.38,  +2.69,  +1.66

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.