Orbital Analysis for matched events on 20210816_015756.035_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 25.39° Bg 27.02° Vg 59.64km/s
mass 0.03521g, abs. mag -1.6
Path Details
------------
start -2.10° 53.03° 103.67km
end   -2.15° 53.06° 91.04km

Orbit Details
-------------
Semimajor axis 11.20A.U., eccentricity 0.94, inclination 123.01°, Period 37.48Y, LA Sun 143.15°, last Perihelion 1984-04-02

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: 2459442.581898553297
Time: 2021-08-16 01:57:56.090446 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001Z and UK0027
 Convergence angle = 9.12033 deg
 R.A. =  12.64603  Dec = +36.06207 deg

Best intersection: Stations UK001Z and UK0027 with Qconv = 9.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3871967.19 +/- 162.07 m
 Y =   -538041.01 +/- 70.27 m
 Z =   5157073.21 +/- 307.19 m
 Vx =    48619.29 +/- 1725.09 m/s
 Vy =    10400.64 +/- 463.75 m/s
 Vz =    34749.95 +/- 1849.14 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.442628e+04, -4.959898e+03, -2.811787e+04, +6.426915e+04, -2.209167e+04, -1.404441e+05
-4.959898e+03, +2.358753e+03, +1.053837e+04, -2.656951e+04, +1.242491e+04, +5.618044e+04
-2.811787e+04, +1.053837e+04, +5.916022e+04, -1.370980e+05, +4.724977e+04, +2.980850e+05
+6.426915e+04, -2.656951e+04, -1.370980e+05, +4.523686e+05, -1.797204e+05, -9.386786e+05
-2.209167e+04, +1.242491e+04, +4.724977e+04, -1.797204e+05, +9.544730e+04, +3.610415e+05
-1.404441e+05, +5.618044e+04, +2.980850e+05, -9.386786e+05, +3.610415e+05, +1.960371e+06

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK001Z: 0.000000 s
    UK0027: 0.000193 s
    UK003G: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 01:57:56.090446 UTC
  Lon     = +-2.082471 +/- 0.0008 deg
  Lat     = +53.019153 +/- 0.0028 deg
  Lat geo = +52.837100 +/- 0.0028 deg
  Ht      =  106663.39 +/- 147.12 m

  JD dynamic   = 2459442.582699935883 
  LST apparent = 352.0889496752 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  12.07472 +/- 0.7542 deg
  Dec       = +34.95058 +/- 1.8500 deg
  Azimuth   = 134.02024 +/- 4.3850 deg
  Elevation = +67.07167 +/- 1.1587 deg
  Vavg      =  60.55087 +/- 0.5197 km/s
  Vinit     =  60.65944 +/- 0.5280 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  12.38283 +/- 0.7542 deg
  Dec       = +34.89754 +/- 1.8500 deg
  Azimuth   = 133.54410 +/- 4.3850 deg
  Elevation = +66.89287 +/- 1.1587 deg
  Vavg      =  60.63134 +/- 0.5197 km/s
  Vinit     =  60.73991 +/- 0.5280 km/s
Radiant (geocentric, J2000):
  R.A.   =  11.90784 +/- 0.7568 deg
  Dec    = +34.66631 +/- 1.8672 deg
  Vg     =  59.63539 +/- 0.5368 km/s
  Vinf   =  60.65944 +/- 0.5280 km/s
  Zc     =  22.80218 +/- 1.1482 deg
  Zg     =  22.99889 +/- 1.1611 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  25.38889 +/- 1.5405 deg
  Bg     = +27.02406 +/- 1.4303 deg
  Vh     =  40.90072 +/- 0.5181 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 358.21577 +/- 2.2667 deg
  Bh     = +41.48999 +/- 2.3614 deg
  Vh_x   = -30.62271 +/- 0.8912 km/s
  Vh_y   =   0.95392 +/- 1.1350 km/s
  Vh_z   = -27.09628 +/- 1.5765 km/s
Orbit:
  La Sun = 143.148917 +/- -0.0000 deg
  a      =  11.199545 +/- 777.5100 AU
  e      =   0.944590 +/- 0.0343
  i      = 123.009046 +/- 0.9042 deg
  peri   = 258.288807 +/- 6.7522 deg
  node   = 143.148098 +/- 0.0001 deg
  Pi     =  41.436905 +/- 6.7521 deg
  q      =   0.620568 +/- 0.0497 AU
  f      = 281.707223 +/- 6.7523 deg
  M      = 358.949879 +/- nan deg
  Q      =  21.778522 +/- 1555.0100 AU
  n      =   0.026297 +/- 0.0103 deg/day
  T      =  37.480140 +/- 399993480.0805 years
  Last perihelion JD = 2445792.656428 (1984-04-02 03:45:15.369862) +/- 300249.1229 days
  Tj     =  -0.059969 +/- 0.2644
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.982756e-04, +7.301835e-04, -5.192579e+03, +2.050417e-08, -1.687525e-03, -2.541960e-04
q   , +7.301835e-04, +1.448314e-03, -8.851041e+03, +3.752596e-08, -3.324445e-03, -4.652006e-04
Tp  , -5.192579e+03, -8.851041e+03, +9.451844e+10, -2.526066e-01, +2.058378e+04, +3.140808e+03
node, +2.050417e-08, +3.752596e-08, -2.526066e-01, +1.084476e-12, -8.673386e-08, -1.343770e-08
peri, -1.687525e-03, -3.324445e-03, +2.058378e+04, -8.673386e-08, +7.635375e-03, +1.075219e-03
i   , -2.541960e-04, -4.652006e-04, +3.140808e+03, -1.343770e-08, +1.075219e-03, +1.665105e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 90.588785

Mean time residuals from time vs. length:
  Station with reference time: UK001Z
  Avg. res. = 1.237e-06 s
  Stddev    = 1.11e-03 s

Begin point on the trajectory:
  Lon =    -2.095807 +/- 0.0006 deg
  Lat =    53.026922 +/- 0.0020 deg
  Ht  = 103674.09 +/- 124.96 m
End point on the trajectory:
  Lon =    -2.153331 +/- 0.0007 deg
  Lat =    53.059832 +/- 0.0024 deg
  Ht  = 91037.42 +/- 112.60 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
    UK001L,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   100115.84,    91382.87,          0.256398,       nan,       nan,              70.61, 0.0000,    True,    True, {"ff_name": "FF_UK001L_20210816_015753_924_0527616.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   102187.19,    91037.42,          0.011109,     35.23,     37.96,              75.22, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210816_015750_800_0524032.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   0.000000,  75.900922,   103674.09,    92263.58,          0.008060,     21.68,     20.48,              71.69, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210816_015752_668_0520960.fits"}
    UK003G,    True,    -1.802002,    51.351948,  130.00, 2871.356685,   4.229933,   110521.42,    98087.83,          0.165112,       nan,       nan,              75.09, 0.0000,    True,    True, {"ff_name": "FF_UK003G_20210816_015752_448_0528384.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,     UK001L,       1,  0.112830, 2459442.581899859011, 225.14821,  66.45864,              337.37605,  34.78146,       337.20362,       34.80365,    225.14821,     +66.45864,     225.46609,      +66.39209,  3866268.66,  -539260.04,  5153000.27,      53.036177,       -2.111944,  100115.84,  172556.36,       0.00,             7109.73,   268.76,      0.00,           57392.27,    200.55,   -382.26,         516.00,  +1.43,  +0.25
  1,     UK001L,       1,  0.153486, 2459442.581900329795, 224.13546,  65.82754,              337.32810,  34.03014,       337.05993,       34.06468,    224.13546,     +65.82754,     224.62513,      +65.72602,  3864412.12,  -539657.19,  5151673.33,      53.041730,       -2.121656,   97982.93,  171993.66,    2316.29,             9426.02,   118.88,  56972.94,           57392.27,    314.17,   -597.43,         809.50,  +0.43,  -0.75
  2,     UK001L,       1,  0.194158, 2459442.581900800578, 223.29011,  65.14001,              337.19791,  33.26596,       336.91446,       33.30246,    223.29011,     +65.14001,     223.80211,      +65.03461,  3862509.86,  -540064.12,  5150313.72,      53.047422,       -2.131612,   95797.60,  171447.63,    4689.63,            11799.36,    25.08,  58353.21,           57392.27,    333.97,   -634.90,         863.07,  +0.10,  -1.07
  3,     UK001L,       1,  0.234818, 2459442.581901270896, 222.41298,  64.48485,              337.12601,  32.51435,       336.77502,       32.55957,    222.41298,     +64.48485,     223.04051,      +64.35669,  3860667.58,  -540458.22,  5148996.98,      53.052937,       -2.141268,   93681.29,  170948.77,    6988.14,            14097.87,  -142.82,  56529.88,           57392.27,    416.31,   -790.14,        1077.62,  +0.35,  -0.81
  4,     UK001L,       1,  0.275538, 2459442.581901742611, 221.56705,  63.75046,              337.01206,  31.69805,       336.62564,       31.74785,    221.56705,     +63.75046,     222.24985,      +63.61198,  3858666.66,  -540886.26,  5147566.85,      53.058931,       -2.151750,   91382.87,  170440.18,    9484.56,            16594.29,  -116.45,  61307.14,           58122.14,    461.27,   -874.73,        1196.76,  +2.32,  +1.16
  0,     UK001Z,       1,  0.000000, 2459442.581898553297, 145.59102,  59.32222,               13.78490,  22.14612,        13.70993,       22.17172,    145.59102,     +59.32222,     145.70641,      +59.36710,  3871954.27,  -538043.78,  5157063.98,      53.019191,       -2.082306,  106648.54,  269635.59,       0.00,               16.13,    19.36,      0.00,           60335.02,    255.35,   -236.79,         266.40,  +5.71,  +3.56
  1,     UK001Z,       0,  0.080760, 2459442.581899487879, 146.90775,  58.56607,               13.31788,  21.22701,        13.32957,       21.22302,    146.90775,     +58.56607,     146.89016,      +58.55920,  3868071.52,  -538874.37,  5154288.84,      53.030788,       -2.102553,  102187.19,  268680.47,    4844.28,             4860.40,   -35.22,  59983.60,           60335.02,    -39.88,     37.02,          41.77,  +2.97,  +0.82
  2,     UK001Z,       0,  0.121192, 2459442.581899955869, 147.51969,  58.10927,               13.12164,  20.69951,        13.12211,       20.69934,    147.51969,     +58.10927,     147.51947,      +58.10899,  3865941.23,  -539330.09,  5152766.24,      53.037156,       -2.113661,   99739.66,  268192.51,    7502.12,             7518.24,   170.04,  65736.11,           60335.02,     -1.62,      1.51,           1.70,  +1.82,  -0.32
  3,     UK001Z,       0,  0.161540, 2459442.581900422927, 148.03118,  57.74399,               12.94681,  20.27480,        12.95365,       20.27247,    148.03118,     +57.74399,     148.02142,      +57.74005,  3864210.90,  -539700.24,  5151529.52,      53.042332,       -2.122724,   97751.76,  267814.50,    9660.94,             9677.07,  -118.62,  53505.09,           60335.02,    -23.37,     21.69,          24.56,  +1.31,  -0.83
  4,     UK001Z,       0,  0.201956, 2459442.581900890917, 148.59847,  57.30026,               12.75732,  19.76688,        12.75603,       19.76732,    148.59847,     +57.30026,     148.60128,      +57.30100,  3862170.37,  -540136.75,  5150071.07,      53.048438,       -2.133392,   95407.60,  267390.95,   12206.80,            12222.92,   -24.38,  62991.24,           60345.20,      4.42,     -4.11,           4.65,  +1.02,  -1.12
  5,     UK001Z,       0,  0.242360, 2459442.581901358441, 149.15370,  56.86415,               12.56550,  19.26833,        12.56250,       19.26936,    149.15370,     +56.86415,     149.15927,      +56.86585,  3860165.89,  -540565.55,  5148638.40,      53.054440,       -2.143884,   93105.00,  266997.88,   14707.66,            14723.79,    25.60,  61896.54,           60526.27,     10.30,     -9.57,          10.86,  +2.33,  +0.20
  6,     UK001Z,       0,  0.282724, 2459442.581901825499, 149.61479,  56.45895,               12.41226,  18.81291,        12.38898,       18.82083,    149.61479,     +56.45895,     149.65111,      +56.47204,  3858365.92,  -540950.60,  5147351.90,      53.059832,       -2.153331,   91037.42,  266664.21,   16953.39,            16969.51,  -177.13,  55636.84,           60161.24,     79.87,    -74.13,          84.29,  +3.52,  +1.39
  0,     UK0027,       1,  0.015077, 2459442.581898725592, 158.13026,  67.01994,                6.04466,  28.84175,         6.04677,       28.84113,    158.13026,     +67.01994,     158.12591,      +67.01901,  3871462.75,  -538148.92,  5156712.67,      53.020659,       -2.084886,  106083.75,  214189.37,       0.00,              629.36,  -281.95,      0.00,           63143.73,     -5.03,      5.32,           7.05,  +5.58,  +3.93
  1,     UK0027,       0,  0.055633, 2459442.581899194978, 158.95144,  66.42410,                5.79074,  28.20101,         5.79784,       28.19892,    158.95144,     +66.42410,     158.93705,      +66.42104,  3869365.63,  -538597.54,  5155213.78,      53.026922,       -2.095807,  103674.09,  213517.88,    2616.46,             3245.82,  -125.59,  64514.73,           63143.73,    -16.89,     17.88,          23.76,  +2.44,  +0.79
  2,     UK0027,       0,  0.096185, 2459442.581899664365, 159.68919,  65.82444,                5.56038,  27.56283,         5.55492,       27.56444,    159.68919,     +65.82444,     159.70072,      +65.82675,  3867307.73,  -539037.76,  5153742.93,      53.033071,       -2.106537,  101309.64,  212888.21,    5183.98,             5813.34,   -17.93,  63314.31,           63143.73,     13.03,    -13.79,          18.38,  +1.37,  -0.27
  3,     UK0027,       0,  0.136721, 2459442.581900133286, 160.39922,  65.23963,                5.32708,  26.94197,         5.32014,       26.94401,    160.39922,     +65.23963,     160.41375,      +65.24251,  3865308.15,  -539465.51,  5152313.76,      53.039049,       -2.116979,   99012.33,  212304.38,    7678.74,             8308.10,    17.94,  61544.29,           63143.73,     16.58,    -17.55,          23.46,  +0.68,  -0.95
  4,     UK0027,       0,  0.177257, 2459442.581900602672, 161.06586,  64.64846,                5.10274,  26.31830,         5.08774,       26.32272,    161.06586,     +64.64846,     161.09640,      +64.65458,  3863317.69,  -539891.31,  5150891.11,      53.045004,       -2.127383,   96725.63,  211750.88,   10162.11,            10791.47,    42.42,  61263.38,           62613.56,     35.92,    -38.01,          50.94,  +0.52,  -1.11
  5,     UK0027,       0,  0.217765, 2459442.581901071593, 161.70306,  64.08603,                4.87701,  25.72572,         4.86774,       25.72844,    161.70306,     +64.08603,     161.72218,      +64.08975,  3861424.35,  -540296.34,  5149537.87,      53.050671,       -2.137298,   94550.61,  211250.16,   12524.33,            13153.69,   -52.56,  58314.76,           61848.52,     22.24,    -23.54,          31.62,  +0.60,  -1.02
  6,     UK0027,       0,  0.258297, 2459442.581901540514, 162.35360,  63.48990,                4.63848,  25.10001,         4.63785,       25.10020,    162.35360,     +63.48990,     162.35591,      +63.49015,  3859433.38,  -540722.24,  5148114.85,      53.056634,       -2.147725,   92263.58,  210751.02,   15008.34,            15637.70,   -27.20,  61285.17,           61514.82,      1.52,     -1.61,           2.17,  +1.23,  -0.39
  7,     UK0027,       1,  0.298689, 2459442.581902008038, 162.76675,  63.04584,                4.48896,  24.63814,         4.47128,       24.64334,    162.76675,     +63.04584,     162.80200,      +63.05273,  3857991.90,  -541030.61,  5147084.57,      53.060953,       -2.155326,   90607.79,  210407.00,   16806.79,            17436.15,  -678.90,  44525.04,           59965.44,     42.58,    -45.07,          60.78,  +4.90,  +3.28
  0,     UK003G,       1,  0.054745, 2459442.581899187062, 184.92317,  67.99464,              354.61923,  29.71501,       354.52602,       29.73667,    184.92317,     +67.99464,     185.14586,      +68.00327,  3875324.52,  -537322.81,  5159472.82,      53.009135,       -2.065283,  110521.42,  217041.44,       0.00,             4188.74,   871.20,      0.00,           54119.49,    194.78,   -250.60,         301.63,  +4.22,  +2.54
  1,     UK003G,       1,  0.095213, 2459442.581899655517, 185.03211,  67.43066,              354.47099,  29.16445,       354.35548,       29.19129,    185.03211,     +67.43066,     185.30311,      +67.44118,  3873569.50,  -537698.25,  5158218.44,      53.014371,       -2.074432,  108504.57,  216557.19,    2189.64,             1999.10, -3773.20,  54107.91,           54119.49,    242.13,   -311.40,         375.71,  +1.58,  -0.10
  2,     UK003G,       1,  0.135709, 2459442.581900123972, 185.15562,  66.83049,              354.30919,  28.57926,       354.17603,       28.61019,    185.15562,     +66.83049,     185.46215,      +66.84239,  3871708.68,  -538096.31,  5156888.45,      53.019924,       -2.084131,  106366.25,  216066.80,    4511.27,              322.53, -7906.23,  57329.99,           54119.49,    279.99,   -360.00,         435.38,  +0.27,  -1.40
  3,     UK003G,       1,  0.176153, 2459442.581900591962, 185.19117,  66.30429,              354.19935,  28.06184,       354.02074,       28.10331,    185.19117,     +66.30429,     185.59559,      +66.32010,  3870092.93,  -538441.96,  5155733.61,      53.024749,       -2.092581,  104509.62,  215660.55,    6527.16,             2338.41, -8343.66,  49843.78,           54119.49,    376.74,   -484.00,         586.62,  -0.31,  -1.98
  4,     UK003G,       1,  0.216773, 2459442.581901062280, 185.29731,  65.56281,              354.01945,  27.33638,       353.80497,       27.38617,    185.29731,     +65.56281,     185.77217,      +65.58145,  3867817.68,  -538928.68,  5154107.41,      53.031547,       -2.104424,  101895.35,  215118.87,    9365.84,             5177.10, -7968.96,  69883.99,           56963.67,    454.23,   -583.19,         708.79,  -0.49,  -2.15
  5,     UK003G,       1,  0.257217, 2459442.581901530270, 185.41178,  65.02093,              353.87047,  26.80881,       353.64774,       26.86050,    185.41178,     +65.02093,     185.89722,      +65.03999,  3866157.79,  -539283.76,  5152921.02,      53.036509,       -2.113117,   99988.21,  214746.86,   11436.80,             7248.06, -8351.32,  51205.47,           56953.16,    472.98,   -607.20,         739.27,  +0.07,  -1.59
  6,     UK003G,       1,  0.297669, 2459442.581901998725, 185.49490,  64.47795,              353.73541,  26.27826,       353.49198,       26.33474,    185.49490,     +64.47795,     186.01732,      +64.49849,  3864503.71,  -539637.60,  5151738.79,      53.041456,       -2.121788,   98087.83,  214395.47,   13500.49,             9311.75, -8741.42,  51015.94,           56314.08,    518.42,   -665.31,         811.46,  +1.61,  -0.05

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.