Orbital Analysis for matched events on 20210904_001753.320_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 34.23° Bg 30.53° Vg 56.56km/s
mass 0.01522g, abs. mag 0.1
Path Details
------------
start -2.44° 50.75° 110.31km
end   -2.52° 50.76° 97.38km

Orbit Details
-------------
Semimajor axis -20.05A.U., eccentricity 1.03, inclination 107.90°, Period 1000000000.00Y, LA Sun 161.41°, 

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: 2459461.512422694359
Time: 2021-09-04 00:17:53.361468 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003J
 Convergence angle = 46.38215 deg
 R.A. =  19.25937  Dec = +41.37403 deg

Best intersection: Stations UK000H and UK003J with Qconv = 46.38 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3982845.59 +/- 47.71 m
 Y =  -1037401.18 +/- 37.57 m
 Z =   5003452.38 +/- 36.50 m
 Vx =    40884.50 +/- 196.86 m/s
 Vy =    13959.17 +/- 248.70 m/s
 Vz =    38156.01 +/- 174.60 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.862202e+02, -2.550605e+02, +1.754607e+02, +6.719510e+02, +2.269712e+02, -6.304446e+02
-2.550605e+02, +2.132505e+02, -9.663824e+01, -8.758555e+02, +3.379104e+01, +4.983887e+02
+1.754607e+02, -9.663824e+01, +7.867972e+02, -1.979214e+03, +3.629453e+02, +1.564429e+03
+6.719510e+02, -8.758555e+02, -1.979214e+03, +1.138842e+04, -1.595861e+03, -7.585754e+03
+2.269712e+02, +3.379104e+01, +3.629453e+02, -1.595861e+03, +5.162179e+02, +7.504184e+02
-6.304446e+02, +4.983887e+02, +1.564429e+03, -7.585754e+03, +7.504184e+02, +5.659439e+03

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK003C: 0.000000 s
    UK003J: -0.000090 s

Reference point on the trajectory:
  Time: 2021-09-04 00:17:53.361468 UTC
  Lon     = +-2.418173 +/- 0.0004 deg
  Lat     = +50.745405 +/- 0.0002 deg
  Lat geo = +50.560014 +/- 0.0002 deg
  Ht      =  113312.56 +/- 61.61 m

  JD dynamic   = 2459461.513223906048 
  LST apparent = 345.4007057955 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  18.85141 +/- 0.2794 deg
  Dec       = +41.45104 +/- 0.0727 deg
  Azimuth   =  98.99123 +/- 0.2616 deg
  Elevation = +65.27328 +/- 0.1919 deg
  Vavg      =  56.91769 +/- 0.1978 km/s
  Vinit     =  57.63924 +/- 0.1809 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  19.18225 +/- 0.2794 deg
  Dec       = +41.34194 +/- 0.0727 deg
  Azimuth   =  98.88112 +/- 0.2616 deg
  Elevation = +65.00617 +/- 0.1919 deg
  Vavg      =  57.04233 +/- 0.1978 km/s
  Vinit     =  57.76388 +/- 0.1809 km/s
Radiant (geocentric, J2000):
  R.A.   =  18.80343 +/- 0.2827 deg
  Dec    = +41.20748 +/- 0.0739 deg
  Vg     =  56.56179 +/- 0.1844 km/s
  Vinf   =  57.63924 +/- 0.1809 km/s
  Zc     =  24.69838 +/- 0.1925 deg
  Zg     =  24.93508 +/- 0.1959 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  34.22882 +/- 0.2115 deg
  Bg     = +30.52947 +/- 0.1320 deg
  Vh     =  42.46632 +/- 0.2664 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 358.67106 +/- 0.1590 deg
  Bh     = +42.58131 +/- 0.0937 deg
  Vh_x   = -31.26030 +/- 0.1864 km/s
  Vh_y   =   0.72519 +/- 0.0902 km/s
  Vh_z   = -28.73423 +/- 0.2007 km/s
Orbit:
  La Sun = 161.409438 +/- nan deg
  a      = -20.049823 +/- 321.9339 AU
  e      =   1.025739 +/- 0.0132
  i      = 107.895660 +/- 0.1649 deg
  peri   = 267.958793 +/- 0.6817 deg
  node   = 161.409499 +/- 0.0000 deg
  Pi     =  69.368292 +/- 0.6817 deg
  q      =   0.516056 +/- 0.0031 AU
  f      = 272.038638 +/- 0.6817 deg
  M      =        nan +/- nan deg
  Q      = -40.615702 +/- 643.8674 AU
  n      =   0.010978 +/- 0.0067 deg/day
  T      = 1000000000.000000 +/- 442215024.3688 years
  Last perihelion JD = NaN 
  Tj     =  -0.535009 +/- 0.1315
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.448235e-06, -4.051962e-06, -4.015446e+02, -2.087215e-11, +5.844701e-06, +4.389003e-07
q   , -4.051962e-06, +6.433103e-06, +4.228670e+02, +5.933772e-11, -1.077584e-05, -1.252668e-06
Tp  , -4.015446e+02, +4.228670e+02, +3.819955e+10, +3.166797e-03, -6.410847e+02, -6.672626e+01
node, -2.087215e-11, +5.933772e-11, +3.166797e-03, +9.481614e-16, -1.075788e-10, -2.002905e-11
peri, +5.844701e-06, -1.077584e-05, -6.410847e+02, -1.075788e-10, +1.851877e-05, +2.271936e-06
i   , +4.389003e-07, -1.252668e-06, -6.672626e+01, -2.002905e-11, +2.271936e-06, +4.230971e-07

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.009889
 a2 = 36.289509

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 5.308e-06 s
  Stddev    = 2.30e-03 s

Begin point on the trajectory:
  Lon =    -2.437183 +/- 0.0003 deg
  Lat =    50.747312 +/- 0.0002 deg
  Ht  = 110312.07 +/- 45.60 m
End point on the trajectory:
  Lon =    -2.520384 +/- 0.0002 deg
  Lat =    50.755514 +/- 0.0001 deg
  Ht  = 97383.37 +/- 27.23 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
    UK000H,   False,    -1.778230,    50.857470,   24.00, 165.310197,   0.000000,   110312.07,    97625.73,          0.009668,     12.12,     15.73,              46.52, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210904_001746_003_0442368.fits"}
    UK003C,    True,    -4.949858,    50.224871,   55.00, 110975.381544,   0.029313,    99862.83,    93925.49,          0.258236,       nan,       nan,              36.70, 0.0000,    True,    True, {"ff_name": "FF_UK003C_20210904_001748_444_0427776.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.350659,  24.569053,   109837.39,    97383.37,          0.011347,     14.80,     19.81,              37.05, 1.0000,    True,    True, {"ff_name": "FF_UK003J_20210904_001745_395_0439296.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,     UK000H,       1,  0.000000, 2459461.512422694359, 316.48923,  40.62326,              254.88723,  67.18516,       254.79136,       67.17585,    316.48923,     +40.62326,     316.50860,      +40.58787,  3982861.69, -1037395.68,  5003467.41,      50.745392,       -2.417872,  113333.19,  122747.59,       0.00,               22.70, -1094.86,      0.00,           66123.60,    -65.03,    -50.14,         137.98,  +5.91,  +5.46
  1,     UK000H,       0,  0.040684, 2459461.512423165143, 315.12428,  40.14706,              255.49371,  66.06720,       255.47676,       66.06556,    315.12428,     +40.14706,     315.12814,      +40.14057,  3980502.38, -1038201.21,  5001265.55,      50.747312,       -2.437183,  110312.07,  120464.67,    3326.17,             3303.47,  -159.09,  81756.21,           66123.60,    -11.77,     -9.07,          25.45,  +1.88,  +1.48
  2,     UK000H,       0,  0.081144, 2459461.512423633598, 314.16348,  39.83731,              255.96907,  65.29296,       255.92122,       65.28833,    314.16348,     +39.83731,     314.17473,      +39.81857,  3978908.68, -1038745.35,  4999778.20,      50.748608,       -2.450292,  108271.47,  118952.10,    5572.99,             5550.28,  -244.36,  55531.77,           66123.60,    -33.76,    -26.02,          73.91,  +1.36,  +0.98
  3,     UK000H,       0,  0.121712, 2459461.512424102984, 313.04289,  39.42810,              256.43141,  64.35830,       256.41944,       64.35715,    313.04289,     +39.42810,     313.04628,      +39.42329,  3977052.27, -1039379.18,  4998045.69,      50.750117,       -2.465545,  105894.66,  117219.30,    8190.16,             8167.46,    34.51,  64513.28,           66123.60,     -8.60,     -6.63,          19.11,  +0.75,  +0.41
  4,     UK000H,       0,  0.162216, 2459461.512424571905, 312.04366,  39.06735,              256.85310,  63.52486,       256.83718,       63.52333,    312.04366,     +39.06735,     312.04836,      +39.06079,  3975438.75, -1039930.09,  4996539.85,      50.751428,       -2.478835,  103828.96,  115741.06,   10464.91,            10442.20,   -25.37,  56161.04,           63619.67,    -11.62,     -8.95,          26.14,  +0.35,  +0.03
  5,     UK000H,       0,  0.202756, 2459461.512425041292, 311.01074,  38.66972,              257.24795,  62.64570,       257.25058,       62.64595,    311.01074,     +38.66972,     311.01089,      +38.67083,  3973785.98, -1040494.39,  4994997.38,      50.752770,       -2.492453,  101713.14,  114254.05,   12794.99,            12772.29,   -31.97,  57476.24,           62026.10,      1.96,      1.51,           4.46,  -0.04,  -0.33
  6,     UK000H,       0,  0.243316, 2459461.512425510678, 309.92754,  38.25688,              257.67318,  61.72352,       257.65962,       61.72222,    309.92754,     +38.25688,     309.93232,      +38.25103,  3972092.72, -1041072.52,  4993417.12,      50.754144,       -2.506411,   99545.62,  112760.27,   15182.16,            15159.46,    17.35,  58855.23,           61116.85,    -10.22,     -7.87,          23.59,  -0.07,  -0.33
  7,     UK000H,       0,  0.283840, 2459461.512425979599, 308.96639,  37.85441,              257.99536,  60.88042,       258.01065,       60.88189,    308.96639,     +37.85441,     308.96316,      +37.86115,  3970592.83, -1041584.63,  4992017.33,      50.755361,       -2.518803,   97625.73,  111463.87,   17296.72,            17274.02,  -203.87,  52180.39,           59993.66,     11.69,      9.00,          27.30,  +0.27,  +0.03
  0,     UK003C,       1,  2.296105, 2459461.512449269649,  68.12454,  32.98460,               70.56344,  27.56804,        70.26897,       27.64766,     68.12454,     +32.98460,      68.28205,      +33.22766,  3972359.90, -1040981.30,  4993666.47,      50.753928,       -2.512812,   99862.83,  209405.97,       0.00,            14782.80, -118680.52,      0.00,           54153.13,    865.24,    495.69,         982.16,  +3.35,  +1.75
  1,     UK003C,       1,  2.336385, 2459461.512449735776,  68.53122,  32.83231,               70.41911,  27.21683,        70.14303,       27.29154,     68.53122,     +32.83231,      68.68076,      +33.06048,  3970849.08, -1041497.14,  4992256.48,      50.755154,       -2.525290,   97928.15,  207758.94,    2129.96,            16912.75, -118872.27,  52878.83,           54153.13,    807.24,    462.48,         923.60,  +0.92,  -0.67
  2,     UK003C,       1,  2.376681, 2459461.512450202368,  68.95356,  32.66268,               70.27730,  26.84401,        70.01121,       26.91605,     68.95356,     +32.66268,      69.09933,      +32.88284,  3969282.23, -1042032.10,  4990794.19,      50.756424,       -2.538233,   95921.87,  206060.67,    4338.91,            19121.71, -118985.94,  54818.23,           54153.13,    774.03,    443.47,         892.90,  +0.11,  -1.46
  3,     UK003C,       1,  2.416985, 2459461.512450668495,  69.37055,  32.47596,               70.15139,  26.46232,        69.87875,       26.53609,     69.37055,     +32.47596,      69.52104,      +32.70175,  3967723.03, -1042564.46,  4989339.04,      50.757688,       -2.551122,   93925.49,  204380.46,    6537.09,            21319.89, -119110.86,  54539.88,           54153.13,    788.99,    452.03,         917.63,  +0.59,  -0.96
  0,     UK003J,       1,  0.009137, 2459461.512422800995, 343.80169,  19.27590,              182.90915,  57.88859,       182.92366,       57.89593,    343.80169,     +19.27590,     343.79383,      +19.28350,  3981525.58, -1037851.86,  5002220.47,      50.746480,       -2.428748,  111622.25,  131130.53,       0.00,             1860.95,   216.72,      0.00,           56348.41,     19.52,    -14.58,          38.33,  +4.16,  +3.57
  1,     UK003J,       0,  0.049553, 2459461.512423268985, 343.39174,  18.91695,              183.60842,  57.51534,       183.60678,       57.51452,    343.39174,     +18.91695,     343.39284,      +18.91610,  3980131.66, -1038327.79,  5000919.57,      50.747614,       -2.440229,  109837.39,  129568.67,    1965.15,             3826.11,  -147.68,  48623.13,           56348.41,     -2.18,      1.62,           4.32,  +2.50,  +1.94
  2,     UK003J,       0,  0.090113, 2459461.512423738372, 342.87393,  18.42133,              184.47188,  56.99747,       184.48599,       57.00446,    342.87393,     +18.42133,     342.86660,      +18.42871,  3978337.47, -1038940.38,  4999245.12,      50.749073,       -2.454970,  107540.12,  127574.79,    4494.62,             6355.58,    43.95,  62363.68,           56348.41,     18.54,    -13.85,          37.41,  +2.12,  +1.59
  3,     UK003J,       0,  0.130633, 2459461.512424207292, 342.39624,  17.96313,              185.25186,  56.51469,       185.27831,       56.52767,    342.39624,     +17.96313,     342.38230,      +17.97696,  3976727.38, -1039490.11,  4997742.48,      50.750381,       -2.468224,  105478.72,  125802.12,    6764.53,             8625.48,   -21.69,  56019.38,           56348.41,     34.34,    -25.66,          70.29,  +1.33,  +0.83
  4,     UK003J,       0,  0.171173, 2459461.512424676679, 341.89085,  17.49060,              186.06186,  56.01204,       186.08579,       56.02366,    341.89085,     +17.49060,     341.87842,      +17.50312,  3975090.12, -1040049.12,  4996214.48,      50.751711,       -2.481709,  103382.64,  124016.30,    9072.76,            10933.71,   -50.16,  56937.13,           56633.81,     30.72,    -22.95,          63.78,  +0.74,  +0.27
  5,     UK003J,       0,  0.211757, 2459461.512425146066, 341.32797,  16.98953,              186.94833,  55.47252,       186.94088,       55.46894,    341.32797,     +16.98953,     341.33297,      +16.98562,  3973358.76, -1040640.26,  4994598.67,      50.753117,       -2.495969,  101166.25,  122147.06,   11513.64,            13374.59,    51.49,  60143.82,           57217.63,     -9.46,      7.06,          19.93,  +0.53,  +0.10
  6,     UK003J,       0,  0.252269, 2459461.512425614987, 340.87014,  16.53561,              187.64843,  54.98384,       187.65736,       54.98810,    340.87014,     +16.53561,     340.86625,      +16.54029,  3971913.67, -1041133.65,  4993250.02,      50.754289,       -2.507907,   99316.41,  120602.81,   13550.94,            15411.89,  -246.29,  50288.78,           56683.81,     11.24,     -8.39,          23.98,  +0.33,  -0.08
  7,     UK003J,       0,  0.292809, 2459461.512426084373, 340.36361,  16.06475,              188.41275,  54.47074,       188.40652,       54.46780,    340.36361,     +16.06475,     340.36829,      +16.06148,  3970403.49, -1041649.27,  4991840.62,      50.755514,       -2.520384,   97383.37,  119004.98,   15680.00,            17540.95,  -453.93,  52517.52,           56114.15,     -7.77,      5.80,          16.81,  +0.91,  +0.53

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.