Orbital Analysis for matched events on 20210929_031850.458_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 60.34° Bg 39.25° Vg 49.64km/s
mass 0.00465g, abs. mag 0.2
Path Details
------------
start -3.34° 53.47° 103.53km
end   -3.32° 53.46° 92.05km

Orbit Details
-------------
Semimajor axis 3.41A.U., eccentricity 0.82, inclination 92.81°, Period 6.30Y, LA Sun 185.91°, last Perihelion 2015-07-23

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: 2459486.638084010221
Time: 2021-09-29 03:18:50.458483 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0029 and UK003T
 Convergence angle = 81.09554 deg
 R.A. =  44.95825  Dec = +57.34080 deg
Intersection 2 - Stations: UK0029 and UK003X
 Convergence angle = 46.39410 deg
 R.A. =  46.11011  Dec = +58.87865 deg
Intersection 3 - Stations: UK003T and UK003X
 Convergence angle = 52.53188 deg
 R.A. =  47.66612  Dec = +56.99275 deg

Best intersection: Stations UK0029 and UK003T with Qconv = 81.10 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2246033.72 +/- 48.06 m
 Y =   3147001.66 +/- 49.05 m
 Z =   5185219.70 +/- 71.72 m
 Vx =    19290.84 +/- 595.51 m/s
 Vy =    18775.04 +/- 726.98 m/s
 Vz =    43164.96 +/- 699.85 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.438987e+03, -7.333576e+02, -4.285354e+02, +1.809489e+04, -2.386440e+03, -8.244813e+02
-7.333576e+02, +2.576347e+03, +3.396938e+02, -1.480884e+04, +1.496942e+04, -2.276760e+04
-4.285354e+02, +3.396938e+02, +5.577656e+03, -1.574564e+04, -1.795612e+04, +3.080634e+04
+1.809489e+04, -1.480884e+04, -1.574564e+04, +2.225184e+05, -3.716706e+04, +2.512083e+04
-2.386440e+03, +1.496942e+04, -1.795612e+04, -3.716706e+04, +1.726533e+05, -2.737004e+05
-8.244813e+02, -2.276760e+04, +3.080634e+04, +2.512083e+04, -2.737004e+05, +4.630196e+05

Timing offsets (from input data):
    UK000Y: 0.000000 s
    UK001L: 0.000000 s
    UK0029: 0.000000 s
    UK003T: -0.001212 s
    UK003X: 0.000014 s

Reference point on the trajectory:
  Time: 2021-09-29 03:18:50.458483 UTC
  Lon     = +-3.337229 +/- 0.0008 deg
  Lat     = +53.471656 +/- 0.0005 deg
  Lat geo = +53.290356 +/- 0.0005 deg
  Ht      =  103559.47 +/- 63.13 m

  JD dynamic   = 2459486.638884751126 
  LST apparent = 54.4843251186 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  44.22367 +/- 1.0109 deg
  Dec       = +58.05096 +/- 0.7011 deg
  Azimuth   = 312.58819 +/- 5.4700 deg
  Elevation = +82.64440 +/- 0.6832 deg
  Vavg      =  49.07273 +/- 0.3412 km/s
  Vinit     =  50.87094 +/- 0.4327 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.81524 +/- 1.0109 deg
  Dec       = +58.09761 +/- 0.7011 deg
  Azimuth   = 314.32138 +/- 5.4700 deg
  Elevation = +82.87315 +/- 0.6832 deg
  Vavg      =  49.04693 +/- 0.3412 km/s
  Vinit     =  50.84514 +/- 0.4327 km/s
Radiant (geocentric, J2000):
  R.A.   =  43.66905 +/- 1.0229 deg
  Dec    = +58.01618 +/- 0.7087 deg
  Vg     =  49.64476 +/- 0.4438 km/s
  Vinf   =  50.87094 +/- 0.4327 km/s
  Zc     =   7.47948 +/- 0.6864 deg
  Zg     =   7.57085 +/- 0.6938 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.34479 +/- 0.6457 deg
  Bg     = +39.25273 +/- 0.7389 deg
  Vh     =  38.87219 +/- 0.6705 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   9.77593 +/- 0.4647 deg
  Bh     = +53.91568 +/- 0.8330 deg
  Vh_x   = -22.56231 +/- 0.4560 km/s
  Vh_y   =  -3.88743 +/- 0.1265 km/s
  Vh_z   = -31.41460 +/- 0.7427 km/s
Orbit:
  La Sun = 185.911733 +/- 0.0000 deg
  a      =   3.412024 +/- 0.3649 AU
  e      =   0.819756 +/- 0.0271
  i      =  92.810536 +/- 0.3440 deg
  peri   = 261.785162 +/- 3.7375 deg
  node   = 185.913483 +/- 0.0000 deg
  Pi     =  87.698646 +/- 3.7375 deg
  q      =   0.614997 +/- 0.0219 AU
  f      = 278.214081 +/- 3.7375 deg
  M      = 353.340864 +/- 2.7538 deg
  Q      =   6.209052 +/- 0.7129 AU
  n      =   0.156382 +/- 0.0536 deg/day
  T      =   6.302586 +/- 0.8878 years
  Last perihelion JD = 2457227.161834 (2015-07-23 15:53:02.473022) +/- 325.4938 days
  Tj     =   1.479796 +/- 0.2915
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.216395e-04, +4.454732e-04, -9.846558e+00, +2.042811e-09, -1.612067e-03, -1.548525e-04
q   , +4.454732e-04, +5.301051e-04, -6.240881e+00, +1.156898e-09, -1.545324e-03, -8.746914e-05
Tp  , -9.846558e+00, -6.240881e+00, +1.257382e+05, -2.330205e-05, +2.130049e+01, +1.766168e+00
node, +2.042811e-09, +1.156898e-09, -2.330205e-05, +6.459548e-15, -4.152196e-09, -4.891199e-10
peri, -1.612067e-03, -1.545324e-03, +2.130049e+01, -4.152196e-09, +4.727378e-03, +3.142092e-04
i   , -1.548525e-04, -8.746914e-05, +1.766168e+00, -4.891199e-10, +3.142092e-04, +3.703698e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 1.492942
 a2 = 24.523247

Mean time residuals from time vs. length:
  Station with reference time: UK0029
  Avg. res. = 8.450e-06 s
  Stddev    = 2.91e-03 s

Begin point on the trajectory:
  Lon =    -3.337185 +/- 0.0008 deg
  Lat =    53.471632 +/- 0.0005 deg
  Ht  = 103528.33 +/- 33.15 m
End point on the trajectory:
  Lon =    -3.321970 +/- 0.0009 deg
  Lat =    53.462750 +/- 0.0009 deg
  Ht  = 92050.32 +/- 47.92 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
    UK000Y,    True,    -1.740490,    53.069201,  230.00, 90101.299655,   0.052639,   103867.78,    97829.52,          0.050692,       nan,       nan,              42.08, 0.0000,    True,    True, {"ff_name": "FF_UK000Y_20210929_031845_057_0799744.fits"}
    UK001L,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   103988.13,    94002.23,          0.218413,       nan,       nan,              58.23, 0.0000,    True,    True, {"ff_name": "FF_UK001L_20210929_031850_418_0782336.fits"}
    UK0029,   False,    -4.441783,    52.004778,  230.00,   0.026975,  46.317240,   103528.33,    93545.43,          0.019476,     42.89,     54.69,              57.85, 0.7169,    True,    True, {"ff_name": "FF_UK0029_20210929_031845_888_0292864.fits"}
    UK003T,   False,    -1.740490,    53.069201,  240.00,   0.000000,   0.000000,   102498.42,    96543.31,          0.018970,     44.38,     23.60,              42.09, 0.4492,    True,    True, {"ff_name": "FF_UK003T_20210929_031846_226_0794880.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   3.388502,  20.616842,   101614.45,    92050.32,          0.023661,     14.48,     95.02,              57.59, 0.7128,    True,    True, {"ff_name": "FF_UK003X_20210929_031851_437_0797184.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,     UK000Y,       1,  1.967022, 2459486.638106776867, 338.67335,  44.78927,              293.39241,  41.00441,       293.34892,       41.00664,    338.67335,     +44.78927,     338.71312,      +44.76517,  2246158.78,  3147123.38,  5185499.53,      53.471909,       -3.345908,  103867.78,  156335.90,       0.00,              329.79, -99857.97,      0.00,           50493.53,    -42.01,     79.32,         118.42,  +3.46,  +2.49
  1,     UK000Y,       1,  2.007446, 2459486.638107244391, 338.09320,  44.42072,              293.36032,  40.45138,       293.29742,       40.45460,    338.09320,     +44.42072,     338.14763,      +44.38580,  2245301.71,  3146289.23,  5183581.77,      53.470177,       -3.342919,  101625.50,  154648.10,    2260.12,             1930.34, -100313.82,  55910.42,           50493.53,    -60.64,    114.41,         172.69,  +2.05,  +1.10
  2,     UK000Y,       1,  2.047854, 2459486.638107712381, 337.55034,  44.05448,              293.31598,  39.91823,       293.24841,       39.92169,    337.55034,     +44.05448,     337.60877,      +44.01692,  2244491.90,  3145501.07,  5181769.75,      53.468540,       -3.340102,   99506.79,  153067.31,    4395.64,             4065.85, -100233.90,  52848.88,           50493.53,    -64.99,    122.59,         186.95,  +1.58,  +0.66
  3,     UK000Y,       1,  2.088186, 2459486.638108178973, 337.10797,  43.76372,              293.29280,  39.48719,       293.20902,       39.49147,    337.10797,     +43.76372,     337.17895,      +43.71707,  2243850.88,  3144877.19,  5180335.41,      53.467243,       -3.337906,   97829.52,  151827.16,    6086.04,             5756.26, -100595.22,  41912.21,           50493.53,    -80.47,    151.70,         233.27,  +2.32,  +1.41
  0,     UK001L,       1, -0.016537, 2459486.638083818834, 295.63727,  50.24033,              323.16262,  23.71544,       322.95245,       23.71071,    295.63727,     +50.24033,     295.87784,      +50.12499,  2246197.62,  3147161.18,  5185586.45,      53.471987,       -3.337763,  103988.13,  248488.05,       0.00,              432.22,  1149.97,     -0.00,           48339.68,   -727.92,    408.63,         692.92,  +3.71,  +1.73
  1,     UK001L,       1,  0.023771, 2459486.638084285427, 295.29887,  49.96539,              323.18301,  23.36565,       322.95903,       23.36058,    295.29887,     +49.96539,     295.55545,      +49.84285,  2245515.05,  3146496.86,  5184059.14,      53.470608,       -3.335417,  102202.97,  247519.14,    1799.97,             1367.75,    34.99,  44655.44,           48339.68,   -774.87,    434.78,         740.43,  +2.59,  +0.62
  2,     UK001L,       1,  0.064103, 2459486.638084752019, 294.95469,  49.66433,              323.19325,  22.99165,       322.96616,       22.98652,    294.95469,     +49.66433,     295.21498,      +49.54051,  2244791.55,  3145792.71,  5182440.25,      53.469145,       -3.332919,  100310.76,  246501.92,    3707.87,             3275.65,  -108.83,  47304.93,           48339.68,   -784.59,    440.22,         752.81,  +1.97,  +0.01
  3,     UK001L,       1,  0.104475, 2459486.638085219543, 294.57929,  49.31451,              323.19468,  22.56523,       322.97453,       22.56026,    294.57929,     +49.31451,     294.83175,      +49.19494,  2243974.11,  3144997.13,  5180611.16,      53.467492,       -3.330073,   98172.86,  245364.54,    5863.50,             5431.28,    -6.97,  53394.01,           48339.68,   -759.42,    426.29,         732.11,  +1.97,  +0.02
  4,     UK001L,       1,  0.144831, 2459486.638085686602, 294.17515,  49.00933,              323.24391,  22.16410,       322.98223,       22.15814,    294.17515,     +49.00933,     294.47529,      +48.86770,  2243209.88,  3144253.33,  5178901.12,      53.465945,       -3.327422,   96174.11,  244313.99,    7878.82,             7446.60,   -44.60,  49938.55,           49130.87,   -901.78,    505.33,         872.73,  +1.39,  -0.55
  5,     UK001L,       1,  0.185219, 2459486.638086154126, 293.77975,  48.65346,              323.26096,  21.72349,       322.99082,       21.71733,    293.77975,     +48.65346,     294.08962,      +48.50784,  2242379.45,  3143445.11,  5177042.97,      53.464263,       -3.324524,   94002.23,  243185.65,   10068.70,             9636.48,    90.71,  54221.09,           50084.84,   -929.57,    520.78,         903.74,  +2.19,  +0.26
  0,     UK0029,       0,  0.000000, 2459486.638084010221, 186.22256,  60.78704,               24.13094,  28.91620,        24.12403,       28.91531,    186.22256,     +60.78704,     186.23411,      +60.78939,  2246021.81,  3146990.08,  5185193.06,      53.471632,       -3.337185,  103528.33,  208331.78,       0.00,               31.39,   -92.10,      0.00,           54174.44,    -17.47,    -13.72,          22.00,  +3.43,  +1.84
  1,     UK0029,       0,  0.040408, 2459486.638084477745, 186.56968,  60.34922,               24.22010,  28.45288,        24.19828,       28.45009,    186.56968,     +60.34922,     186.60609,      +60.35660,  2245256.18,  3146244.91,  5183479.89,      53.470085,       -3.334532,  101525.93,  207250.21,    2019.02,             2050.41,  -128.68,  49965.77,           54174.44,    -55.15,    -43.33,          69.80,  +2.66,  +1.08
  2,     UK0029,       0,  0.080876, 2459486.638084946200, 187.00069,  59.85142,               24.29662,  27.91491,        24.28358,       27.91325,    187.00069,     +59.85142,     187.02251,      +59.85579,  2244382.67,  3145394.76,  5181525.33,      53.468318,       -3.331481,   99241.38,  206034.03,    4322.51,             4353.91,   116.17,  56921.41,           54174.44,    -32.91,    -25.85,          41.89,  +1.76,  +0.19
  3,     UK0029,       0,  0.121332, 2459486.638085414656, 187.45555,  59.37604,               24.34084,  27.38824,        24.36557,       27.39140,    187.45555,     +59.37604,     187.41559,      +59.36784,  2243543.29,  3144577.83,  5179647.16,      53.466620,       -3.328554,   97046.12,  204882.79,    6535.98,             6567.37,   271.61,  54712.91,           54174.44,     62.42,     48.95,          79.86,  +1.50,  -0.06
  4,     UK0029,       0,  0.161676, 2459486.638085881248, 187.68563,  58.99900,               24.43616,  27.00242,        24.42558,       27.00107,    187.68563,     +58.99900,     187.70352,      +59.00249,  2242921.30,  3143972.47,  5178255.39,      53.465360,       -3.326427,   95419.36,  204039.87,    8176.21,             8207.60,  -140.50,  40656.14,           51623.03,    -26.68,    -20.95,          34.30,  +1.22,  -0.33
  5,     UK0029,       0,  0.202068, 2459486.638086348772, 188.08957,  58.58902,               24.45786,  26.54252,        24.49529,       26.54730,    188.08957,     +58.58902,     188.02989,      +58.57680,  2242204.80,  3143275.12,  5176652.16,      53.463909,       -3.323950,   93545.43,  203081.59,   10065.66,            10097.05,  -305.83,  46777.86,           50201.60,     94.37,     73.96,         121.78,  +1.77,  +0.23
  0,     UK003T,       0,  0.018584, 2459486.638084239326, 338.42536,  44.66678,              293.41360,  40.79042,       293.41896,       40.79015,    338.42536,     +44.66678,     338.42154,      +44.66975,  2245628.02,  3146606.81,  5184311.91,      53.470836,       -3.335817,  102498.42,  154910.96,       0.00,             1069.85,     0.96,      0.00,           49558.81,      5.15,     -9.71,          14.63,  +2.44,  +1.49
  1,     UK003T,       0,  0.058984, 2459486.638084706850, 337.82759,  44.29540,              293.39205,  40.22514,       293.36695,       40.22643,    337.82759,     +44.29540,     337.84629,      +44.28146,  2244764.69,  3145766.57,  5182380.14,      53.469091,       -3.332803,  100240.51,  153217.01,    2276.64,             3346.49,   222.42,  56352.44,           49558.81,    -24.11,     45.34,          69.14,  +1.76,  +0.83
  2,     UK003T,       0,  0.099344, 2459486.638085173909, 337.31436,  43.95089,              293.35433,  39.72157,       293.32103,       39.72327,    337.31436,     +43.95089,     337.33945,      +43.93236,  2244010.36,  3145032.41,  5180692.27,      53.467565,       -3.330190,   98267.67,  151750.36,    4265.84,             5335.69,   158.47,  49286.48,           49558.81,    -31.93,     60.02,          92.41,  +2.34,  +1.43
  3,     UK003T,       0,  0.139672, 2459486.638085640967, 336.87354,  43.63372,              293.30609,  39.27384,       293.28046,       39.27515,    336.87354,     +43.63372,     336.89325,      +43.61945,  2243351.05,  3144390.73,  5179217.00,      53.466231,       -3.327926,   96543.31,  150479.26,    6004.48,             7074.33,  -154.42,  43112.49,           49558.81,    -24.51,     46.11,          71.57,  +3.18,  +2.29
  0,     UK003X,       0,  0.032015, 2459486.638084380422, 269.19149,  59.79252,              342.08197,  24.74942,       342.03366,       24.74618,    269.19149,     +59.79252,     269.26984,      +59.77287,  2245290.03,  3146277.86,  5183555.63,      53.470153,       -3.334622,  101614.45,  234106.28,       0.00,             1961.15,   209.04,      0.00,           49323.14,   -177.71,     26.99,         158.37,  +4.28,  +2.43
  1,     UK003X,       0,  0.072303, 2459486.638084847014, 268.95504,  59.44851,              342.06098,  24.38573,       342.05980,       24.38565,    268.95504,     +59.44851,     268.95725,      +59.44804,  2244625.45,  3145631.05,  5182068.59,      53.468809,       -3.332341,   99876.35,  233159.17,    1752.51,             3713.66,   -87.93,  43499.64,           49323.14,     -4.34,      0.66,           3.88,  +2.46,  +0.62
  2,     UK003X,       0,  0.112667, 2459486.638085314073, 268.56163,  59.07078,              342.11101,  23.96024,       342.09105,       23.95891,    268.56163,     +59.07078,     268.59408,      +59.06278,  2243845.61,  3144872.06,  5180323.61,      53.467232,       -3.329633,   97836.77,  232059.13,    3809.01,             5770.16,   -84.79,  50948.71,           49323.14,    -73.21,     11.17,          65.82,  +2.77,  +0.94
  3,     UK003X,       0,  0.153027, 2459486.638085781131, 268.26601,  58.64615,              342.09537,  23.50916,       342.12375,       23.51105,    268.26601,     +58.64615,     268.22142,      +58.65744,  2243034.97,  3144083.10,  5178509.75,      53.465591,       -3.326810,   95716.66,  230929.37,    5946.69,             7907.84,    -0.26,  52965.42,           49323.14,    103.95,    -15.95,          93.94,  +1.15,  -0.67
  4,     UK003X,       0,  0.193347, 2459486.638086247724, 267.94201,  58.30117,              342.13037,  23.12617,       342.15113,       23.12755,    267.94201,     +58.30117,     267.90989,      +58.30936,  2242347.16,  3143413.68,  5176970.70,      53.464197,       -3.324439,   93917.75,  229982.47,    7760.50,             9721.65,  -237.57,  44985.22,           48874.45,     75.95,    -11.65,          68.91,  +1.84,  +0.03
  5,     UK003X,       0,  0.233687, 2459486.638086714782, 267.60007,  57.94154,              342.17281,  22.72565,       342.17973,       22.72611,    267.60007,     +57.94154,     267.59012,      +57.94426,  2241633.14,  3142718.75,  5175373.03,      53.462750,       -3.321970,   92050.32,  229010.41,    9643.39,            11604.54,  -406.81,  46675.62,           48432.12,     25.31,     -3.88,          23.06,  +4.46,  +2.66

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.