Orbital Analysis for matched events on 20210813_212312.878_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.70° Bg 39.71° Vg 59.33km/s
mass 0.18947g, abs. mag -2.6
Path Details
------------
start -3.13° 51.33° 112.59km
end   -3.27° 51.15° 99.96km

Orbit Details
-------------
Semimajor axis -49.01A.U., eccentricity 1.02, inclination 111.52°, Period 1000000000.00Y, LA Sun 141.04°, 

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: 2459440.391121281311
Time: 2021-08-13 21:23:12.878705 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK003J
 Convergence angle = 37.76357 deg
 R.A. =  49.07336  Dec = +59.83489 deg

Best intersection: Stations UK002H and UK003J with Qconv = 37.76 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    719938.62 +/- 18.40 m
 Y =  -3999278.92 +/- 61.24 m
 Z =   5044714.39 +/- 30.39 m
 Vx =    19593.02 +/- 91.74 m/s
 Vy =    22710.75 +/- 189.27 m/s
 Vz =    52373.89 +/- 165.76 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):
    UK002H: 0.000000 s
    UK003H: 0.000000 s
    UK003J: 0.000392 s

Reference point on the trajectory:
  Time: 2021-08-13 21:23:12.878705 UTC
  Lon     = +-3.127117 +/- 0.0004 deg
  Lat     = +51.332855 +/- 0.0005 deg
  Lat geo = +51.148243 +/- 0.0005 deg
  Ht      =  112590.57 +/- 34.70 m

  JD dynamic   = 2459440.391922022216 
  LST apparent = 280.2049231494 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.21500 +/- 0.1944 deg
  Dec       = +60.20034 +/- 0.1313 deg
  Azimuth   =  26.15268 +/- 0.0633 deg
  Elevation = +28.82232 +/- 0.1532 deg
  Vavg      =  58.31778 +/- 0.0481 km/s
  Vinit     =  60.35469 +/- 0.1112 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.86143 +/- 0.1944 deg
  Dec       = +60.01055 +/- 0.1313 deg
  Azimuth   =  26.44018 +/- 0.0633 deg
  Elevation = +28.76236 +/- 0.1532 deg
  Vavg      =  58.43283 +/- 0.0481 km/s
  Vinit     =  60.46974 +/- 0.1112 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.42440 +/- 0.1898 deg
  Dec    = +59.63529 +/- 0.1317 deg
  Vg     =  59.32643 +/- 0.1131 km/s
  Vinf   =  60.35469 +/- 0.1112 km/s
  Zc     =  61.34342 +/- 0.1532 deg
  Zg     =  61.92733 +/- 0.1531 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.69597 +/- 0.0852 deg
  Bg     = +39.71119 +/- 0.1495 deg
  Vh     =  42.06515 +/- 0.0605 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.01346 +/- 0.1803 deg
  Bh     = +64.30338 +/- 0.2526 deg
  Vh_x   =  -1.26806 +/- 0.0646 km/s
  Vh_y   = -18.19556 +/- 0.1814 km/s
  Vh_z   = -37.90501 +/- 0.0676 km/s
Orbit:
  La Sun = 141.044245 +/- 0.0000 deg
  a      = -49.005622 +/- 12.8317 AU
  e      =   1.019408 +/- 0.0054
  i      = 111.519874 +/- 0.2430 deg
  peri   = 151.503052 +/- 0.1977 deg
  node   = 141.042419 +/- 0.0000 deg
  Pi     = 292.545471 +/- 0.1977 deg
  q      =   0.951123 +/- 0.0009 AU
  f      =  28.492847 +/- 0.1977 deg
  M      =        nan +/- nan deg
  Q      = -98.962366 +/- 25.6636 AU
  n      =   0.002873 +/- 0.0013 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.551893 +/- 0.0331
Shower association:
  IAU No.  =    7
  IAU code =  PER

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 = -0.128771
 a2 = 17.375722

Mean time residuals from time vs. length:
  Station with reference time: UK002H
  Avg. res. = 1.831e-05 s
  Stddev    = 4.28e-03 s

Begin point on the trajectory:
  Lon =    -3.127089 +/- 0.0004 deg
  Lat =    51.332890 +/- 0.0005 deg
  Ht  = 112593.00 +/- 29.91 m
End point on the trajectory:
  Lon =    -3.271835 +/- 0.0003 deg
  Lat =    51.149787 +/- 0.0002 deg
  Ht  = 99955.21 +/- 14.71 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,  10.815725,   0.797103,   112593.00,    99955.21,          0.005767,     18.34,     19.60,             123.18, 1.0000,    True,    True, {"ff_name": "FF_UK002H_20210813_212312_524_0092928.fits"}
    UK003H,    True,    -2.379250,    51.361350,  169.00, 109064.461680,   0.019779,   103230.43,    98720.34,          1.996480,       nan,       nan,              75.70, 0.0000,   False,    True, {"ff_name": "FF_UK003H_20210813_212313_305_0106752.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.333204,  16.039323,   106047.36,   100412.25,          0.006737,      1.39,     14.10,              75.70, 1.0000,   False,    True, {"ff_name": "FF_UK003J_20210813_212313_515_0101888.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,     UK002H,       0,  0.000000, 2459440.391121281311, 269.49874, -11.39997,              192.31475,  24.48301,       192.30992,       24.48183,    269.49874,     -11.39997,     269.50303,      -11.40171,   719940.26, -3999277.02,  5044718.77,      51.332890,       -3.127089,  112593.00,  261143.07,       0.00,                5.04,   393.20,      0.00,           57817.75,    -15.14,     14.17,          16.38,  +4.27,  +2.19
  1,     UK002H,       0,  0.040252, 2459440.391121746972, 269.39228, -11.69289,              192.38639,  24.17899,       192.40086,       24.18254,    269.39228,     -11.69289,     269.37956,      -11.68766,   719392.68, -3999911.74,  5043255.03,      51.321172,       -3.136441,  111779.96,  262065.27,    1686.78,             1681.74,  -359.50,  41905.60,           57817.75,     45.61,    -42.72,          49.19,  +4.37,  +2.28
  2,     UK002H,       0,  0.080648, 2459440.391122214962, 269.17930, -12.15814,              192.54542,  23.69037,       192.54752,       23.69089,    269.17930,     -12.15814,     269.17775,      -12.15738,   718484.59, -4000964.33,  5040827.61,      51.301731,       -3.151833,  110432.36,  263609.96,    4484.09,             4479.05,    -0.28,  69247.08,           57817.75,      6.69,     -6.26,           7.17,  +2.25,  +0.15
  3,     UK002H,       0,  0.120984, 2459440.391122681554, 269.01066, -12.54970,              192.66654,  23.28036,       192.66932,       23.28104,    269.01066,     -12.54970,     269.00866,      -12.54868,   717719.58, -4001851.07,  5038782.68,      51.285345,       -3.164822,  109297.80,  264927.61,    6840.63,             6835.59,   -78.21,  58422.83,           57817.75,      8.92,     -8.35,           9.52,  +1.93,  -0.19
  4,     UK002H,       0,  0.161360, 2459440.391123149078, 268.81062, -12.98722,              192.81250,  22.82052,       192.80541,       22.81879,    268.81062,     -12.98722,     268.81770,      -12.98982,   716847.64, -4002861.76,  5036451.90,      51.266660,       -3.179596,  108005.44,  266446.68,    9526.58,             9521.54,   170.86,  66523.33,           60002.10,    -22.97,     21.49,          24.35,  +1.69,  -0.44
  5,     UK002H,       0,  0.201676, 2459440.391123615671, 268.65545, -13.36184,              192.91930,  22.42879,       192.91983,       22.42892,    268.65545,     -13.36184,     268.65581,      -13.36165,   716104.59, -4003723.03,  5034465.69,      51.250730,       -3.192207,  106904.78,  267756.05,   11815.46,            11810.41,    26.48,  56773.43,           60164.81,      1.72,     -1.61,           1.82,  +1.68,  -0.46
  6,     UK002H,       0,  0.241980, 2459440.391124081798, 268.49913, -13.71667,              193.02912,  22.05641,       193.02865,       22.05630,    268.49913,     -13.71667,     268.50057,      -13.71685,   715387.70, -4004554.00,  5032549.36,      51.235355,       -3.204375,  105843.42,  269031.90,   14023.80,            14018.75,  -197.72,  54792.06,           59647.89,     -1.54,      1.44,           1.61,  +1.40,  -0.75
  7,     UK002H,       0,  0.282324, 2459440.391124548856, 268.31893, -14.12165,              193.15500,  21.63103,       193.15195,       21.63029,    268.31893,     -14.12165,     268.32289,      -14.12278,   714559.73, -4005513.72,  5030336.12,      51.217589,       -3.218398,  104618.33,  270520.11,   16574.29,            16569.24,   -82.18,  63218.56,           59730.00,    -10.09,      9.44,          10.54,  +1.03,  -1.13
  8,     UK002H,       0,  0.322660, 2459440.391125015914, 268.15582, -14.51910,              193.26304,  21.21531,       193.27084,       21.21721,    268.15582,     -14.51910,     268.15000,      -14.51618,   713748.25, -4006454.34,  5028166.95,      51.200168,       -3.232140,  103418.36,  271994.12,   19074.00,            19068.96,   -16.93,  61972.30,           59917.80,     26.08,    -24.40,          27.08,  +1.15,  -1.02
  9,     UK002H,       0,  0.362960, 2459440.391125482041, 267.98871, -14.87345,              193.38052,  20.84158,       193.37869,       20.84114,    267.98871,     -14.87345,     267.99191,      -14.87413,   713001.86, -4007319.49,  5026171.79,      51.184138,       -3.244788,  102315.29,  273363.29,   21373.19,            21368.14,  -150.04,  57051.78,           59857.24,     -6.16,      5.76,           6.37,  +1.10,  -1.08
 10,     UK002H,       0,  0.403300, 2459440.391125949100, 267.80870, -15.27383,              193.50289,  20.42040,       193.49864,       20.41936,    267.80870,     -15.27383,     267.81432,      -15.27542,   712155.84, -4008300.13,  5023910.31,      51.165960,       -3.259097,  101065.73,  274930.01,   23979.28,            23974.23,    21.34,  64603.14,           60039.94,    -14.41,     13.47,          14.80,  +1.08,  -1.12
 11,     UK002H,       0,  0.443600, 2459440.391126415692, 267.64870, -15.62556,              193.61114,  20.05001,       193.60390,       20.04825,    267.64870,     -15.62556,     267.65727,      -15.62830,   711403.52, -4009172.17,  5021899.29,      51.149787,       -3.271835,   99955.21,  276336.72,   26296.74,            26291.69,   -93.49,  57505.22,           60047.94,    -24.76,     23.14,          25.30,  +1.44,  -0.77
 12,     UK002H,       1,  0.483944, 2459440.391126882285, 267.46432, -16.03595,              193.73375,  19.61806,       193.72541,       19.61603,    267.46432,     -16.03595,     267.47412,      -16.03912,   710517.61, -4010199.04,  5019531.18,      51.130735,       -3.286799,   98648.34,  278008.51,   29025.70,            29020.66,   200.52,  67642.39,           60303.22,    -28.76,     26.88,          29.21,  +4.79,  +2.57
  0,     UK003H,       1,  2.217269, 2459440.391146944370, 245.26508,  34.48825,              250.59778,  59.35038,       253.51393,       58.12854,    245.26508,     +34.48825,     242.93047,      +34.73453,   713636.57, -4006583.78,  5027868.44,      51.197771,       -3.241924,  103230.43,  120997.76,       0.00,            19412.95, -114021.50,      0.00,           59341.80,   4072.66,   -527.32,        7000.81,  -0.42,  -0.83
  1,     UK003H,       1,  2.257877, 2459440.391147414222, 245.10750,  33.35755,              249.22949,  58.45802,       252.16959,       57.24686,    245.10750,     +33.35755,     242.76385,      +33.60555,   712856.06, -4007488.49,  5025782.05,      51.181006,       -3.255143,  102076.31,  120792.17,    2404.32,            21817.27, -114068.07,  59208.07,           59341.80,   4135.55,   -537.38,        7121.45,  -0.44,  -0.85
  2,     UK003H,       1,  2.298537, 2459440.391147884540, 244.91992,  32.16589,              247.89122,  57.48778,       250.81797,       56.30089,    244.91992,     +32.16589,     242.59279,      +32.41281,   712034.08, -4008441.27,  5023584.82,      51.163343,       -3.269050,  100861.64,  120627.02,    4936.37,            24349.32, -113990.04,  62273.64,           59341.80,   4156.02,   -540.46,        7166.56,  -0.40,  -0.81
  3,     UK003H,       1,  2.339129, 2459440.391148354392, 244.76519,  31.10069,              246.74423,  56.61435,       249.66757,       55.44414,    244.76519,     +31.10069,     242.44331,      +31.34774,   711301.95, -4009289.89,  5021627.80,      51.147604,       -3.281451,   99780.29,  120525.30,    7191.61,            26604.56, -114184.72,  55558.69,           59341.80,   4190.77,   -545.91,        7232.80,  +0.15,  -0.26
  4,     UK003H,       1,  2.379697, 2459440.391148824245, 244.65255,  30.05028,              245.62206,  55.76410,       248.58581,       54.59265,    244.65255,     +30.05028,     242.29969,      +30.30163,   710583.95, -4010122.15,  5019708.49,      51.132162,       -3.293612,   98720.34,  120466.75,    9403.38,            28816.33, -114421.42,  54520.05,           58098.52,   4290.16,   -562.18,        7408.71,  +1.62,  +1.22
  0,     UK003J,       0,  0.230126, 2459440.391123940237, 243.60652,  37.54262,              256.90613,  60.40689,       256.90369,       60.40801,    243.60652,     +37.54262,     243.60954,      +37.54241,   715525.48, -4004394.30,  5032917.65,      51.238310,       -3.202018,  106047.36,  121444.33,       0.00,            13594.34,    93.33,      0.00,           59380.83,     -3.47,      0.34,           5.92,  -0.39,  -0.81
  1,     UK003J,       0,  0.271126, 2459440.391124414746, 243.41951,  36.36787,              255.31996,  59.52808,       255.31989,       59.52811,    243.41951,     +36.36787,     243.42070,      +36.36786,   714705.87, -4005344.33,  5030726.76,      51.220725,       -3.215905,  104834.51,  121104.47,    2524.74,            16119.09,   143.53,  61579.09,           59380.83,     -0.09,      0.01,           0.16,  -0.52,  -0.94
  2,     UK003J,       0,  0.312062, 2459440.391124888789, 243.23964,  35.28083,              253.93779,  58.69172,       253.92633,       58.69677,    243.23964,     +35.28083,     243.25043,      +35.27988,   713950.74, -4006219.62,  5028708.23,      51.204516,       -3.228708,  103717.73,  120837.82,    4850.85,            18445.19,    -1.05,  56822.99,           59380.83,    -16.39,      1.61,          28.11,  -0.42,  -0.83
  3,     UK003J,       0,  0.353066, 2459440.391125363298, 243.07788,  34.11232,              252.49678,  57.79284,       252.50425,       57.78960,    243.07788,     +34.11232,     243.07320,      +34.11293,   713144.26, -4007154.43,  5026552.44,      51.187197,       -3.242365,  102525.70,  120601.73,    7335.14,            20929.49,     8.47,  60586.68,           59380.83,     10.75,     -1.06,          18.47,  -0.43,  -0.84
  4,     UK003J,       0,  0.393986, 2459440.391125836875, 242.91684,  33.05412,              251.27312,  56.95463,       251.27594,       56.95342,    242.91684,     +33.05412,     242.91617,      +33.05435,   712415.38, -4007999.29,  5024604.09,      51.171537,       -3.254719,  101448.98,  120432.78,    9580.39,            23174.73,  -216.01,  54869.03,           58515.14,      4.09,     -0.40,           7.03,  -0.04,  -0.44
  5,     UK003J,       0,  0.434874, 2459440.391126309987, 242.78171,  32.03026,              250.12231,  56.14289,       250.14143,       56.13482,    242.78171,     +32.03026,     242.76788,      +32.03182,   711713.21, -4008813.20,  5022727.12,      51.156446,       -3.266623,  100412.25,  120309.80,   11743.38,            25337.72,  -520.80,  52900.39,           57467.16,     27.92,     -2.75,          48.10,  +1.50,  +1.10
  6,     UK003J,       1,  0.475858, 2459440.391126784496, 242.64019,  30.90439,              248.90823,  55.24070,       248.94866,       55.22386,    242.64019,     +30.90439,     242.60912,      +30.90769,   710942.65, -4009706.37,  5020667.34,      51.139877,       -3.279666,   99275.19,  120219.09,   14117.02,            27711.36,  -620.73,  57916.36,           57140.64,     59.62,     -5.88,         102.80,  +3.08,  +2.68

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.