Orbital Analysis for matched events on 20210816_031620.737_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 50.41° Bg 19.77° Vg 64.65km/s
mass 0.03080g, abs. mag -1.3
Path Details
------------
start -0.37° 50.39° 101.79km
end   -0.45° 50.41° 89.32km

Orbit Details
-------------
Semimajor axis 3.18A.U., eccentricity 0.68, inclination 145.11°, Period 5.66Y, LA Sun 143.20°, last Perihelion 2015-12-27

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: 2459442.636351130903
Time: 2021-08-16 03:16:20.737710 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002N
 Convergence angle = 43.00399 deg
 R.A. =  41.88297  Dec = +37.28939 deg

Best intersection: Stations UK002C and UK002N with Qconv = 43.00 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4025606.17 +/- 85.92 m
 Y =    963073.29 +/- 64.50 m
 Z =   4969240.80 +/- 36.04 m
 Vx =    39126.80 +/- 10306.00 m/s
 Vy =    34844.82 +/- 9079.40 m/s
 Vz =    39476.27 +/- 10448.00 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.582757e+03, +5.315697e+03, +1.195316e+03, -3.212937e+05, -2.953231e+05, -3.687334e+05
+5.315697e+03, +4.442991e+03, +1.163198e+03, -2.793641e+05, -2.505144e+05, -3.110607e+05
+1.195316e+03, +1.163198e+03, +1.418325e+03, -1.427732e+05, -1.267112e+05, -1.450335e+05
-3.212937e+05, -2.793641e+05, -1.427732e+05, +1.128904e+08, +9.990788e+07, +1.143944e+08
-2.953231e+05, -2.505144e+05, -1.267112e+05, +9.990788e+07, +8.846860e+07, +1.013278e+08
-3.687334e+05, -3.110607e+05, -1.450335e+05, +1.143944e+08, +1.013278e+08, +1.162569e+08

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK0022: 0.000000 s
    UK002C: 0.000158 s
    UK002D: 0.000000 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 03:16:20.737710 UTC
  Lon     = +-0.373407 +/- 0.0006 deg
  Lat     = +50.393043 +/- 0.0006 deg
  Lat geo = +50.206879 +/- 0.0006 deg
  Ht      =  101799.04 +/- 72.44 m

  JD dynamic   = 2459442.637151871808 
  LST apparent = 13.4543815470 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  41.68703 +/- 0.1856 deg
  Dec       = +36.99652 +/- 0.3423 deg
  Azimuth   = 112.75716 +/- 0.7919 deg
  Elevation = +65.81346 +/- 0.1895 deg
  Vavg      =  65.19803 +/- 0.5219 km/s
  Vinit     =  65.60064 +/- 16.8419 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  41.97704 +/- 0.1856 deg
  Dec       = +36.92125 +/- 0.3423 deg
  Azimuth   = 112.51081 +/- 0.7919 deg
  Elevation = +65.59188 +/- 0.1895 deg
  Vavg      =  65.31266 +/- 0.5219 km/s
  Vinit     =  65.71527 +/- 16.8419 km/s
Radiant (geocentric, J2000):
  R.A.   =  41.51475 +/- 0.1881 deg
  Dec    = +36.78710 +/- 0.3433 deg
  Vg     =  64.65432 +/- 1.1281 km/s
  Vinf   =  65.60064 +/- 1.1124 km/s
  Zc     =  24.11510 +/- 0.1877 deg
  Zg     =  24.29294 +/- 0.1879 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  50.41296 +/- 0.2380 deg
  Bg     = +19.77323 +/- 0.3009 deg
  Vh     =  38.37775 +/- 1.0700 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  47.20775 +/- 0.4098 deg
  Bh     = +34.74514 +/- 0.7284 deg
  Vh_x   = -21.42293 +/- 0.8177 km/s
  Vh_y   = -23.14093 +/- 0.7857 km/s
  Vh_z   = -21.87252 +/- 0.4193 km/s
Orbit:
  La Sun = 143.201245 +/- 0.0000 deg
  a      =   3.176785 +/- 7.2477 AU
  e      =   0.684130 +/- 0.0961
  i      = 145.107772 +/- 0.7181 deg
  peri   = 192.128983 +/- 1.0183 deg
  node   = 143.198659 +/- 0.0001 deg
  Pi     = 335.327642 +/- 1.0183 deg
  q      =   1.003452 +/- 0.0013 AU
  f      = 347.865704 +/- 1.0183 deg
  M      = 358.329929 +/- 0.6233 deg
  Q      =   5.350118 +/- 14.4958 AU
  n      =   0.174070 +/- 0.0615 deg/day
  T      =   5.662163 +/- 41.8866 years
  Last perihelion JD = 2457384.090448 (2015-12-27 14:10:14.680365) +/- 15299.5023 days
  Tj     =   0.703412 +/- 0.5308
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.941801e-03, +3.910013e-05, -1.002343e+03, -1.543168e-07, -1.136388e-03, +9.447320e-04
q   , +3.910013e-05, +1.597500e-06, +4.835598e+00, +7.172765e-10, -2.170010e-05, -4.387331e-06
Tp  , -1.002343e+03, +4.835598e+00, +2.200456e+08, +2.309962e-02, +9.475036e+00, -1.398473e+02
node, -1.543168e-07, +7.172765e-10, +2.309962e-02, +4.440054e-12, +1.431675e-09, -2.720174e-08
peri, -1.136388e-03, -2.170010e-05, +9.475036e+00, +1.431675e-09, +3.366024e-04, -8.884061e-06
i   , +9.447320e-04, -4.387331e-06, -1.398473e+02, -2.720174e-08, -8.884061e-06, +1.667105e-04

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: UK002N
  Avg. res. = 2.191e-06 s
  Stddev    = 1.48e-03 s

Begin point on the trajectory:
  Lon =    -0.373482 +/- 0.0005 deg
  Lat =    50.393063 +/- 0.0006 deg
  Ht  = 101785.94 +/- 63.35 m
End point on the trajectory:
  Lon =    -0.445993 +/- 0.0003 deg
  Lat =    50.412241 +/- 0.0004 deg
  Ht  = 89322.84 +/- 33.40 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,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    99077.45,    89843.63,          0.076326,       nan,       nan,              45.37, 0.0000,    True,    True, {"ff_name": "FF_UK000F_20210816_031620_397_0644096.fits"}
    UK0022,    True,    -0.848117,    51.261084,   92.00,   0.007339,  37.612986,    95098.84,    84001.35,          0.687668,       nan,       nan,              33.30, 0.0000,    True,    True, {"ff_name": "FF_UK0022_20210816_031616_461_0580352.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   101249.15,    89322.84,          0.008336,     18.70,     16.78,              34.06, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210816_031613_723_0645376.fits"}
    UK002D,    True,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   102535.34,    89978.20,          0.071404,       nan,       nan,              34.06, 0.0000,    True,    True, {"ff_name": "FF_UK002D_20210816_031617_240_0644608.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   101785.94,    89701.34,          0.013484,     32.79,      5.39,              34.62, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210816_031618_210_0652544.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,       1,  0.041407, 2459442.636351610068,  31.56110,  -7.70948,              158.47919,  28.20856,       158.42548,       28.18696,     31.56110,      -7.70948,      31.61275,       -7.71968,  4023826.65,   961488.51,  4967445.39,      50.397228,       -0.389191,   99077.45,  204279.49,       0.00,             2983.58,   267.00,      0.00,           68814.66,     77.54,    168.51,         187.30,  +2.44,  +0.89
  1,     UK000F,       1,  0.081759, 2459442.636352077127,  31.44750,  -8.18216,              158.72498,  27.77385,       158.65626,       27.74621,     31.44750,      -8.18216,      31.51401,       -8.19529,  4022397.99,   960216.21,  4966003.97,      50.400589,       -0.401905,   96892.63,  202610.11,    2395.31,             5378.88,    15.19,  59360.28,           68814.66,     98.67,    214.62,         240.48,  +2.17,  +0.64
  2,     UK000F,       1,  0.122151, 2459442.636352544650,  31.36235,  -8.69946,              158.94895,  27.28882,       158.90289,       27.27032,     31.36235,      -8.69946,      31.40742,       -8.70830,  4020882.73,   958866.78,  4964475.18,      50.404154,       -0.415390,   94575.52,  200855.92,    4935.81,             7919.39,   -94.05,  62896.27,           68814.66,     65.84,    143.07,         161.74,  +3.84,  +2.33
  3,     UK000F,       1,  0.162675, 2459442.636353013571,  31.18140,  -9.41197,              159.32236,  26.63397,       159.24367,       26.60238,     31.18140,      -9.41197,      31.25872,       -9.42720,  4018802.32,   957014.04,  4962376.18,      50.409051,       -0.433861,   91394.45,  198476.74,    8423.87,            11407.45,   735.61,  86073.98,           68814.66,    111.53,    242.75,         277.63,  +1.11,  -0.38
  4,     UK000F,       1,  0.202923, 2459442.636353479698,  31.06455,  -9.76054,              159.53359,  26.31928,       159.41318,       26.27091,     31.06455,      -9.76054,      31.18305,       -9.78403,  4017788.04,   956110.76,  4961352.84,      50.411439,       -0.442960,   89843.63,  197326.93,   10124.43,            13108.01,  -204.13,  42251.95,           65056.90,    169.79,    370.34,         425.86,  +2.37,  +0.89
  0,     UK0022,       1,  0.108471, 2459442.636352386326,  25.49009,   5.63359,              162.79956,  43.19899,       161.99546,       42.80171,     25.49009,      +5.63359,      26.14643,       +5.35537,  4021224.96,   959171.55,  4964820.46,      50.403349,       -0.412324,   95098.84,  138648.38,       0.00,             7345.61,   229.58,      0.00,           61818.28,    378.78,   1675.01,        2554.87,  +2.14,  +1.43
  1,     UK0022,       1,  0.148999, 2459442.636352855247,  25.26082,   5.05019,              163.25226,  42.66738,       162.46501,       42.28016,     25.26082,      +5.05019,      25.90612,       +4.77716,  4019666.70,   957783.82,  4963248.28,      50.407016,       -0.426197,   92716.09,  136505.51,    2612.61,             9958.22,   183.52,  64464.29,           61818.28,    367.48,   1621.64,        2512.54,  +1.47,  +0.79
  2,     UK0022,       1,  0.189483, 2459442.636353324167,  25.04282,   4.52819,              163.66827,  42.19262,       162.88312,       41.80776,     25.04282,      +4.52819,      25.68889,       +4.25505,  4018300.46,   956567.10,  4961869.84,      50.410232,       -0.438392,   90627.09,  134640.17,    4903.27,            12248.88,  -181.59,  56581.91,           61818.28,    363.16,   1601.81,        2516.26,  +1.12,  +0.47
  3,     UK0022,       1,  0.230063, 2459442.636353793554,  24.80092,   3.88900,              164.13685,  41.60515,       163.37863,       41.23526,     24.80092,      +3.88900,      25.42786,       +3.62458,  4016699.67,   955141.50,  4960254.75,      50.414002,       -0.452662,   88179.64,  132472.21,    7587.18,            14932.78,  -159.76,  66138.61,           61818.28,    347.75,   1529.18,        2441.85,  +1.15,  +0.54
  4,     UK0022,       1,  0.270671, 2459442.636354263872,  24.52392,   3.23734,              164.64597,  41.00947,       163.88366,       40.63900,     24.52392,      +3.23734,      25.15739,       +2.97030,  4015091.99,   953709.77,  4958632.71,      50.417789,       -0.467007,   85721.82,  130314.44,   10282.64,            17628.24,  -128.21,  66377.60,           62990.11,    345.73,   1520.41,        2468.03,  +0.68,  +0.11
  5,     UK0022,       1,  0.311103, 2459442.636354731862,  24.35668,   2.75349,              164.96848,  40.55960,       164.24368,       40.20870,     24.35668,      +2.75349,      24.96137,       +2.49927,  4013966.58,   952707.52,  4957497.25,      50.420441,       -0.477107,   84001.35,  128815.37,   12169.52,            19515.13,  -893.69,  46668.05,           60999.44,    327.26,   1433.84,        2355.02,  +0.78,  +0.23
  0,     UK002C,       0,  0.009179, 2459442.636351235211,  47.25375,   3.41482,              136.16133,  33.76403,       136.17600,       33.76793,     47.25375,      +3.41482,      47.24110,       +3.41305,  4025246.64,   962753.10,  4968878.06,      50.393889,       -0.376598,  101249.15,  178852.58,       0.00,              602.80,     0.35,      0.00,           65946.21,    -26.68,    -29.72,          46.06,  +3.47,  +2.21
  1,     UK002C,       0,  0.049515, 2459442.636351702269,  47.30362,   2.93945,              136.35413,  33.31388,       136.35366,       33.31376,     47.30362,      +2.93945,      47.30423,       +2.93950,  4023672.48,   961351.22,  4967289.85,      50.397591,       -0.390578,   98841.69,  176663.12,    2639.25,             3242.05,    -6.47,  65431.57,           65946.21,      0.84,      0.94,           1.47,  +1.35,  +0.11
  2,     UK002C,       0,  0.089883, 2459442.636352169327,  47.36943,   2.42565,              136.54744,  32.82187,       136.54401,       32.82096,     47.36943,      +2.42565,      47.37281,       +2.42606,  4022008.60,   959869.43,  4965611.10,      50.401505,       -0.405359,   96297.17,  174362.93,    5428.94,             6031.74,   135.06,  69106.64,           65946.21,      6.15,      6.85,          10.89,  +0.91,  -0.30
  3,     UK002C,       0,  0.130231, 2459442.636352636386,  47.43871,   1.95264,              136.71419,  32.36493,       136.71819,       32.36600,     47.43871,      +1.95264,      47.43574,       +1.95215,  4020510.68,   958535.44,  4964099.80,      50.405030,       -0.418695,   94006.61,  172303.98,    7940.38,             8543.18,    -0.36,  62244.41,           65946.21,     -7.12,     -7.93,          12.76,  +1.05,  -0.13
  4,     UK002C,       0,  0.170643, 2459442.636353103910,  47.50973,   1.38213,              136.92635,  31.81884,       136.92469,       31.81840,     47.50973,      +1.38213,      47.51191,       +1.38233,  4018755.70,   956972.53,  4962329.15,      50.409161,       -0.434304,   91323.17,  169908.52,   10882.80,            11485.60,   291.01,  72810.56,           67056.34,      2.93,      3.27,           5.33,  +0.42,  -0.73
  5,     UK002C,       0,  0.210967, 2459442.636353570968,  47.58336,   0.94911,              137.06477,  31.39573,       137.08171,       31.40022,     47.58336,      +0.94911,      47.56924,       +0.94702,  4017447.41,   955807.41,  4961009.17,      50.412241,       -0.445993,   89322.84,  168132.42,   13076.31,            13679.11,  -160.77,  54397.04,           65566.61,    -29.67,    -33.07,          54.50,  +1.08,  -0.05
  0,     UK002D,       1, -0.008546, 2459442.636351032183,  47.24104,   3.66624,              136.04371,  33.99606,       136.08245,       34.00633,     47.24104,      +3.66624,      47.20755,       +3.66155,  4026087.58,   963502.01,  4969726.51,      50.391911,       -0.369151,  102535.34,  180027.12,       0.00,              807.15,  1367.46,     -0.00,           67582.16,    -70.79,    -78.79,         121.36,  +2.93,  +1.65
  1,     UK002D,       1,  0.031882, 2459442.636351499707,  47.33860,   3.18049,              136.19156,  33.51614,       136.26723,       33.53614,     47.33860,      +3.18049,      47.27310,       +3.17123,  4024437.12,   962032.18,  4968061.32,      50.395792,       -0.383794,  100011.09,  177725.30,    2767.19,             1960.04,  -131.75,  68447.24,           67582.16,   -137.28,   -152.63,         238.25,  +1.51,  +0.26
  2,     UK002D,       1,  0.072334, 2459442.636351968162,  47.41711,   2.66697,              136.37243,  33.01916,       136.45906,       33.04204,     47.41711,      +2.66697,      47.34193,       +2.65631,  4022748.56,   960528.41,  4966357.67,      50.399764,       -0.398786,   97428.74,  175384.55,    5598.26,             4791.11,    45.64,  69985.91,           67582.16,   -155.89,   -173.29,         274.13,  +1.01,  -0.21
  3,     UK002D,       1,  0.112754, 2459442.636352436151,  47.47017,   2.18659,              136.56154,  32.56276,       136.63586,       32.58240,     47.47017,      +2.18659,      47.40561,       +2.17743,  4021217.49,   959164.90,  4964812.92,      50.403366,       -0.412408,   95087.41,  173274.25,    8165.28,             7358.14,   -38.91,  63508.84,           67582.16,   -132.70,   -147.59,         236.27,  +0.89,  -0.30
  4,     UK002D,       1,  0.153270, 2459442.636352905072,  47.56867,   1.60524,              136.75127,  31.99537,       136.84845,       32.02100,     47.56867,      +1.60524,      47.48383,       +1.59316,  4019398.54,   957545.01,  4962977.73,      50.407647,       -0.428575,   92306.08,  170784.90,   11214.95,            10407.81,   352.89,  75270.82,           68795.92,   -172.05,   -191.23,         310.68,  +1.07,  -0.09
  5,     UK002D,       1,  0.193714, 2459442.636353373062,  47.63560,   1.10303,              136.93251,  31.51274,       137.02971,       31.53836,     47.63560,      +1.10303,      47.55052,       +1.09091,  4017876.04,   956189.13,  4961441.63,      50.411232,       -0.442147,   89978.20,  168714.40,   13767.61,            12960.46,   252.39,  63115.70,           68330.97,   -170.80,   -189.86,         312.22,  +0.45,  -0.69
  0,     UK002N,       0,  0.000000, 2459442.636351130903,  23.44389,   6.92806,              165.44052,  44.84331,       165.40842,       44.82712,     23.44389,      +6.92806,      23.46912,       +6.91568,  4025597.61,   963065.66,  4969232.16,      50.393063,       -0.373482,  101785.94,  143172.46,       0.00,               14.35,    14.07,      0.00,           66006.36,     11.32,     68.88,         100.56,  +1.44,  +0.66
  1,     UK002N,       0,  0.040380, 2459442.636351598427,  23.20798,   6.38225,              165.88510,  44.34074,       165.89390,       44.34516,     23.20798,      +6.38225,      23.20121,       +6.38565,  4024059.65,   961696.01,  4967680.47,      50.396680,       -0.387142,   99433.79,  141049.10,    2578.57,             2592.92,   -56.31,  63857.61,           66006.36,     -3.08,    -18.67,          27.68,  +0.81,  +0.06
  2,     UK002N,       0,  0.080752, 2459442.636352065485,  22.92086,   5.82709,              166.39455,  43.83496,       166.39611,       43.83574,     22.92086,      +5.82709,      22.91997,       +5.82769,  4022489.42,   960297.63,  4966096.21,      50.400374,       -0.401098,   97032.45,  138897.29,    5211.24,             5225.60,   -72.07,  65210.30,           66006.36,     -0.54,     -3.27,           4.93,  +0.37,  -0.34
  3,     UK002N,       0,  0.121160, 2459442.636352533009,  22.60211,   5.22045,              166.94906,  43.28070,       166.93667,       43.27452,     22.60211,      +5.22045,      22.61247,       +5.21562,  4020821.31,   958812.08,  4964413.21,      50.404299,       -0.415926,   94481.60,  136630.10,    8008.01,             8022.37,    73.92,  69213.36,           66006.36,      4.23,     25.73,          39.36,  +0.52,  -0.16
  4,     UK002N,       0,  0.161620, 2459442.636353001464,  22.28993,   4.55589,              167.49622,  42.66579,       167.50492,       42.67010,     22.28993,      +4.55589,      22.28366,       +4.55929,  4019092.25,   957272.24,  4962668.70,      50.408368,       -0.431305,   91837.74,  134301.40,   10906.99,            10921.35,   318.69,  71650.48,           67431.59,     -2.94,    -17.83,          27.76,  +0.20,  -0.44
  5,     UK002N,       0,  0.201996, 2459442.636353468988,  22.01575,   4.00831,              167.96215,  42.15956,       167.97158,       42.16421,     22.01575,      +4.00831,      22.00903,       +4.01201,  4017694.97,   956027.88,  4961258.94,      50.411658,       -0.443776,   89701.34,  132435.77,   13249.70,            13264.05,    12.70,  58022.18,           66494.95,     -3.16,    -19.17,          30.26,  +0.40,  -0.21

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.