Orbital Analysis for matched events on 20211103_011050.352_UK

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Summary for Event
-----------------
shower ID 630 TAR
Lg 56.30° Bg 2.76° Vg 29.76km/s
mass 0.01946g, abs. mag 1.3
best visual mag 1.8
Path Details
------------
start -3.82° 50.76° 96.48km
end   -3.82° 50.81° 85.85km

Orbit Details
-------------
Semimajor axis 1.93A.U., eccentricity 0.85, inclination 3.74°, Period 2.67Y, LA Sun 220.54°, last Perihelion 2019-04-13

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: 2459521.549193893094
Time: 2021-11-03 01:10:50.352363 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003C and UK003E
 Convergence angle = 43.67285 deg
 R.A. =  54.02417  Dec = +22.92513 deg

Best intersection: Stations UK003C and UK003E with Qconv = 43.67 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2270745.22 +/- 38.63 m
 Y =   3418585.46 +/- 58.15 m
 Z =   4991284.48 +/- 59.53 m
 Vx =    17322.94 +/- 396.51 m/s
 Vy =    23561.22 +/- 242.22 m/s
 Vz =    12410.53 +/- 255.16 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.590101e+03, -1.668058e+03, -1.430094e+03, +8.813308e+03, -7.663000e+03, -5.518490e+03
-1.668058e+03, +3.496041e+03, +3.073701e+03, -1.374636e+04, +1.172071e+04, +1.160230e+04
-1.430094e+03, +3.073701e+03, +3.760456e+03, -1.222712e+04, +9.880505e+03, +1.399979e+04
+8.813308e+03, -1.374636e+04, -1.222712e+04, +8.138414e+04, -6.521028e+04, -6.220473e+04
-7.663000e+03, +1.172071e+04, +9.880505e+03, -6.521028e+04, +5.406904e+04, +4.752061e+04
-5.518490e+03, +1.160230e+04, +1.399979e+04, -6.220473e+04, +4.752061e+04, +6.619385e+04

Timing offsets (from input data):
    UK001K: 0.000000 s
    UK003C: 0.000000 s
    UK003E: 0.000587 s

Reference point on the trajectory:
  Time: 2021-11-03 01:10:50.352363 UTC
  Lon     = +-3.824437 +/- 0.0008 deg
  Lat     = +50.757517 +/- 0.0002 deg
  Lat geo = +50.571659 +/- 0.0002 deg
  Ht      =   96477.57 +/- 65.81 m

  JD dynamic   = 2459521.549994633999 
  LST apparent = 56.4064831456 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  53.67552 +/- 0.7083 deg
  Dec       = +22.99529 +/- 0.4150 deg
  Azimuth   = 185.38843 +/- 1.3413 deg
  Elevation = +62.15653 +/- 0.4467 deg
  Vavg      =  31.72246 +/- 0.0996 km/s
  Vinit     =  31.76849 +/- 0.1100 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.26146 +/- 0.7083 deg
  Dec       = +23.00426 +/- 0.4150 deg
  Azimuth   = 184.23588 +/- 1.3413 deg
  Elevation = +62.19658 +/- 0.4467 deg
  Vavg      =  31.71074 +/- 0.0996 km/s
  Vinit     =  31.75677 +/- 0.1100 km/s
Radiant (geocentric, J2000):
  R.A.   =  53.29150 +/- 0.7243 deg
  Dec    = +22.00573 +/- 0.4371 deg
  Vg     =  29.76358 +/- 0.1174 km/s
  Vinf   =  31.76849 +/- 0.1100 km/s
  Zc     =  27.65844 +/- 0.4470 deg
  Zg     =  28.57754 +/- 0.4689 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  56.30033 +/- 0.7415 deg
  Bg     =  +2.75945 +/- 0.3076 deg
  Vh     =  36.43790 +/- 0.2417 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   3.45405 +/- 0.4987 deg
  Bh     =  +2.25394 +/- 0.2669 deg
  Vh_x   = -36.34357 +/- 0.2642 km/s
  Vh_y   =  -2.19361 +/- 0.3014 km/s
  Vh_z   =  -1.43305 +/- 0.1639 km/s
Orbit:
  La Sun = 220.535565 +/- -0.0000 deg
  a      =   1.926079 +/- 0.0740 AU
  e      =   0.849213 +/- 0.0010
  i      =   3.735823 +/- 0.4730 deg
  peri   = 302.704934 +/- 1.5572 deg
  node   = 220.523879 +/- 0.0020 deg
  Pi     = 163.228813 +/- 1.5586 deg
  q      =   0.290428 +/- 0.0103 AU
  f      = 237.307702 +/- 1.5586 deg
  M      = 344.763949 +/- 0.8444 deg
  Q      =   3.561730 +/- 0.1378 AU
  n      =   0.368717 +/- 0.0211 deg/day
  T      =   2.673079 +/- 0.1543 years
  Last perihelion JD = 2458586.512710 (2019-04-13 00:18:18.119089) +/- 56.2653 days
  Tj     =   3.343121 +/- 0.0918
Shower association:
  IAU No.  =  630
  IAU code =  TAR

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.126379e-06, +3.822359e-06, -3.099344e-02, +2.794066e-07, -6.368992e-04, +6.356534e-05
q   , +3.822359e-06, +1.073043e-04, -5.802093e-01, -1.524521e-05, -1.629262e-02, -3.767879e-03
Tp  , -3.099344e-02, -5.802093e-01, +3.245204e+03, +7.393843e-02, +8.868337e+01, +1.834011e+01
node, +2.794066e-07, -1.524521e-05, +7.393843e-02, +4.432844e-06, +2.264222e-03, +1.016171e-03
peri, -6.368992e-04, -1.629262e-02, +8.868337e+01, +2.264222e-03, +2.477087e+00, +5.599926e-01
i   , +6.356534e-05, -3.767879e-03, +1.834011e+01, +1.016171e-03, +5.599926e-01, +2.362066e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.664435
 a2 = 9.060344

Mean time residuals from time vs. length:
  Station with reference time: UK003C
  Avg. res. = 3.578e-05 s
  Stddev    = 5.98e-03 s

Begin point on the trajectory:
  Lon =    -3.824440 +/- 0.0008 deg
  Lat =    50.757497 +/- 0.0002 deg
  Ht  = 96482.00 +/- 48.27 m
End point on the trajectory:
  Lon =    -3.818668 +/- 0.0013 deg
  Lat =    50.807080 +/- 0.0007 deg
  Ht  = 85853.39 +/- 44.77 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
    UK001K,    True,    -3.557111,    51.483925,   37.50,   0.000000,   0.000000,    96636.32,    85326.89,          0.109210,       nan,       nan,              13.28, 0.0000,    True,    True, {"ff_name": "FF_UK001K_20211103_011042_809_0696064.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,   0.000000,   0.000000,    96482.00,    86594.75,          0.016631,     32.80,     22.66,              66.59, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20211103_011045_557_0694016.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   6.774178,   7.916033,    95130.12,    85853.39,          0.014564,     45.69,      3.02,              48.07, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20211103_011043_624_0715520.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,     UK001K,       1, -0.020992, 2459521.549193650018,  48.02104,  10.78915,              192.93853,  48.69715,       193.13217,       48.73116,     48.02104,     +10.78915,      47.89716,      +10.84108,  2270843.12,  3418718.61,  4991354.62,      50.756778,       -3.824459,   96636.32,  127790.54,       0.00,              179.54,   976.17,     -0.00,           28349.54,   -199.70,   -216.97,         475.97,  +3.41,  +2.88
  1,     UK001K,       1,  0.019092, 2459521.549194114283,  47.92450,  10.71751,              193.06518,  48.61271,       193.18055,       48.63327,     47.92450,     +10.71751,      47.85078,      +10.74882,  2270317.18,  3418003.27,  4990977.82,      50.760750,       -3.824036,   95783.47,  126854.02,     964.52,              784.98,   308.21,  24062.48,           28349.54,   -118.15,   -128.91,         284.33,  +3.38,  +2.86
  2,     UK001K,       1,  0.059192, 2459521.549194578081,  47.90429,  10.59434,              193.06821,  48.48797,       193.23617,       48.51765,     47.90429,     +10.59434,      47.79685,      +10.63976,  2269705.20,  3417170.92,  4990539.39,      50.765373,       -3.823515,   94791.13,  125764.52,    2086.82,             1907.28,   156.59,  27987.46,           28349.54,   -171.03,   -186.19,         414.65,  +3.50,  +3.00
  3,     UK001K,       1,  0.099312, 2459521.549195042346,  47.83086,  10.46655,              193.14820,  48.35114,       193.30146,       48.37832,     47.83086,     +10.46655,      47.73282,      +10.50820,  2268980.77,  3416185.61,  4990020.39,      50.770847,       -3.822869,   93616.48,  124475.22,    3415.35,             3235.81,   210.57,  33113.94,           28349.54,   -154.79,   -168.70,         379.40,  +2.22,  +1.74
  4,     UK001K,       1,  0.139448, 2459521.549195507076,  47.76920,  10.31525,              193.20556,  48.19267,       193.37335,       48.22238,     47.76920,     +10.31525,      47.66172,      +10.36092,  2268187.17,  3415106.22,  4989451.84,      50.776846,       -3.822144,   92329.72,  123063.58,    4870.73,             4691.20,   390.89,  36261.29,           30397.79,   -168.04,   -183.08,         416.52,  +2.52,  +2.07
  5,     UK001K,       1,  0.179540, 2459521.549195971340,  47.73393,  10.21220,              193.23468,  48.08568,       193.42346,       48.11903,     47.73393,     +10.21220,      47.61288,      +10.26359,  2267672.85,  3414406.68,  4989083.37,      50.780735,       -3.821732,   91495.80,  122149.87,    5813.94,             5634.41,    60.44,  23526.12,           30001.39,   -188.05,   -204.76,         469.46,  +2.60,  +2.17
  6,     UK001K,       1,  0.219680, 2459521.549196435604,  47.62417,  10.07308,              193.36418,  47.93231,       193.49772,       47.95614,     47.62417,     +10.07308,      47.53878,      +10.10979,  2266875.16,  3413321.73,  4988511.89,      50.786769,       -3.821002,   90202.51,  120732.64,    7276.82,             7097.28,   248.13,  36444.43,           30550.69,   -131.72,   -143.86,         333.24,  +2.09,  +1.68
  7,     UK001K,       1,  0.259812, 2459521.549196900334,  47.54412,   9.93110,              193.44938,  47.78031,       193.56829,       47.80160,     47.54412,      +9.93110,      47.46818,       +9.96396,  2266135.84,  3412316.17,  4987982.22,      50.792364,       -3.820336,   89003.90,  119420.22,    8632.65,             8453.12,   329.03,  33784.35,           31049.14,   -116.31,   -127.16,         297.65,  +2.41,  +2.02
  8,     UK001K,       1,  0.299876, 2459521.549197363667,  47.54319,   9.84980,              193.43296,  47.69976,       193.60502,       47.73033,     47.54319,      +9.84980,      47.43282,       +9.89714,  2265802.88,  3411863.30,  4987743.68,      50.794884,       -3.820128,   88464.03,  118830.41,    9243.28,             9063.75,  -333.12,  15241.32,           30229.25,   -167.79,   -183.05,         431.02,  +2.60,  +2.23
  9,     UK001K,       1,  0.340028, 2459521.549197828397,  47.43122,   9.69838,              193.56174,  47.53372,       193.68337,       47.55552,     47.43122,      +9.69838,      47.35356,       +9.73216,  2264993.67,  3410762.69,  4987163.95,      50.801011,       -3.819383,   87152.20,  117395.34,   10727.28,            10547.74,  -124.69,  36959.38,           30179.20,   -117.44,   -128.47,         305.82,  +2.01,  +1.66
 10,     UK001K,       1,  0.380156, 2459521.549198293127,  47.38438,   9.55305,              193.59741,  47.38315,       193.74955,       47.41031,     47.38438,      +9.55305,      47.28681,       +9.59528,  2264337.23,  3409869.84,  4986693.66,      50.805983,       -3.818810,   86088.02,  116232.40,   11931.13,            11751.60,  -195.64,  30000.42,           30143.77,   -145.86,   -159.40,         383.43,  +3.61,  +3.28
 11,     UK001K,       1,  0.420248, 2459521.549198756926,  47.35390,   9.44510,              193.61761,  47.27193,       193.79989,       47.30434,     47.35390,      +9.44510,      47.23664,       +9.49565,  2263867.73,  3409231.27,  4986357.30,      50.809540,       -3.818447,   85326.89,  115401.65,   12792.14,            12612.61,  -608.29,  21475.86,           29790.16,   -173.89,   -189.84,         460.14,  +5.98,  +5.67
  0,     UK003C,       0,  0.000000, 2459521.549193893094, 135.08569,  53.91170,               52.99875,  43.45513,        52.99475,       43.45633,    135.08569,     +53.91170,     135.08638,      +53.91481,  2270747.95,  3418589.18,  4991286.44,      50.757497,       -3.824440,   96482.00,  139052.59,       0.00,                5.01,   134.77,      0.00,           29511.02,     -4.33,     -6.27,          11.30,  +5.06,  +4.34
  1,     UK003C,       0,  0.040252, 2459521.549194358755, 135.80447,  53.85902,               52.77004,  43.06205,        52.76740,       43.06284,    135.80447,     +53.85902,     135.80513,      +53.86108,  2270132.40,  3417751.96,  4990845.45,      50.762145,       -3.823916,   95483.84,  138601.68,    1128.85,             1123.84,   -25.15,  28044.53,           29511.02,     -2.86,     -4.14,           7.48,  +3.30,  +2.59
  2,     UK003C,       0,  0.080552, 2459521.549194825348, 136.55796,  53.75541,               52.58376,  42.62610,        52.52842,       42.64262,    136.55796,     +53.75541,     136.56949,      +53.79885,  2269480.40,  3416865.16,  4990378.34,      50.767071,       -3.823352,   94426.60,  138132.91,    2324.55,             2319.54,  -109.72,  29670.05,           29511.02,    -60.18,    -87.17,         158.17,  +3.90,  +3.20
  3,     UK003C,       0,  0.120808, 2459521.549195291474, 137.36274,  53.72534,               52.28694,  42.20250,        52.28276,       42.20375,    137.36274,     +53.72534,     137.36415,      +53.72863,  2268805.08,  3415946.64,  4989894.52,      50.772175,       -3.822761,   93331.58,  137656.89,    3563.03,             3558.02,  -150.11,  30765.01,           29511.02,     -4.56,     -6.60,          12.02,  +2.70,  +2.01
  4,     UK003C,       0,  0.161144, 2459521.549195758067, 138.28530,  53.63632,               52.00548,  41.68999,        52.00136,       41.69121,    138.28530,     +53.63632,     138.28695,      +53.63957,  2268023.83,  3414884.05,  4989334.82,      50.778081,       -3.822050,   92064.86,  137119.18,    4995.76,             4990.75,     1.20,  35519.88,           30845.34,     -4.50,     -6.51,          11.90,  +4.57,  +3.88
  5,     UK003C,       0,  0.201436, 2459521.549196224660, 139.08573,  53.54949,               51.76787,  41.24108,        51.75890,       41.24374,    139.08573,     +53.54949,     139.08883,      +53.55662,  2267346.97,  3413963.44,  4988849.90,      50.783200,       -3.821457,   90967.44,  136662.79,    6237.05,             6232.04,   -37.52,  30807.36,           31220.82,     -9.83,    -14.23,          26.10,  +2.19,  +1.51
  6,     UK003C,       0,  0.241732, 2459521.549196690787, 139.92349,  53.47063,               51.50143,  40.77847,        51.50952,       40.77607,    139.92349,     +53.47063,     139.92233,      +53.46419,  2266645.26,  3413009.04,  4988347.18,      50.788509,       -3.820835,   89829.76,  136200.23,    7523.91,             7518.90,   -30.81,  31935.14,           31431.42,      8.89,     12.85,          23.67,  +1.84,  +1.17
  7,     UK003C,       0,  0.282048, 2459521.549197157379, 140.77603,  53.36957,               51.24891,  40.29732,        51.25698,       40.29493,    140.77603,     +53.36957,     140.77491,      +53.36312,  2265929.11,  3412034.99,  4987834.11,      50.793929,       -3.820196,   88668.71,  135739.23,    8837.26,             8832.25,     1.77,  32576.44,           31614.65,      8.89,     12.86,          23.76,  +2.07,  +1.41
  8,     UK003C,       0,  0.322344, 2459521.549197623972, 141.61604,  53.28255,               50.98185,  39.83094,        51.01234,       39.82192,    141.61604,     +53.28255,     141.60818,      +53.25807,  2265230.41,  3411084.67,  4987333.55,      50.799218,       -3.819576,   87535.99,  135300.05,   10118.60,            10113.59,     2.97,  31798.31,           31712.38,     33.72,     48.73,          90.33,  +1.78,  +1.12
  9,     UK003C,       0,  0.362620, 2459521.549198090099, 142.29777,  53.16115,               50.81639,  39.42463,        50.80974,       39.42660,    142.29777,     +53.16115,     142.30139,      +53.16651,  2264649.81,  3410295.00,  4986917.60,      50.803615,       -3.819090,   86594.75,  134942.04,   11183.35,            11178.34,  -211.79,  26436.37,           31474.48,     -7.37,    -10.66,          19.82,  +2.49,  +1.84
  0,     UK003E,       0,  0.063937, 2459521.549194626044,   5.27756,  10.15169,              245.98469,  30.41945,       246.00922,       30.43301,      5.27756,     +10.15169,       5.26830,      +10.17500,  2269914.27,  3417455.27,  4990689.17,      50.763793,       -3.823768,   95130.12,  183738.11,       0.00,             1523.87,  -377.56,      0.00,           34724.48,     -5.34,    -80.39,          90.45,  +5.32,  +4.00
  1,     UK003E,       0,  0.104233, 2459521.549195092637,   4.87458,  10.01577,              246.26754,  30.07859,       246.27096,       30.08048,      4.87458,     +10.01577,       4.87368,      +10.01903,  2268939.18,  3416129.04,  4989990.60,      50.771161,       -3.822840,   93549.04,  182553.24,    1788.21,             3312.08,   130.51,  44376.88,           34724.48,     -0.74,    -11.18,          12.66,  +4.31,  +3.00
  2,     UK003E,       0,  0.144465, 2459521.549195558298,   4.57715,   9.89652,              246.46279,  29.81135,       246.46751,       29.81395,      4.57715,      +9.89652,       4.57591,       +9.90102,  2268212.40,  3415140.54,  4989469.92,      50.776655,       -3.822190,   92370.63,  181678.86,    3121.05,             4644.92,   185.24,  33128.81,           34724.48,     -1.01,    -15.35,          17.47,  +3.45,  +2.15
  3,     UK003E,       0,  0.184657, 2459521.549196023494,   4.33215,   9.79506,              246.62096,  29.58843,       246.62949,       29.59313,      4.33215,      +9.79506,       4.32957,       +9.80319,  2267616.96,  3414330.66,  4989043.33,      50.781158,       -3.821688,   91405.18,  180968.31,    4213.04,             5736.91,     0.39,  27169.26,           34724.48,     -1.83,    -27.67,          31.60,  +3.19,  +1.90
  4,     UK003E,       0,  0.224897, 2459521.549196489155,   4.02932,   9.66880,              246.81528,  29.31204,       246.82888,       29.31953,      4.02932,      +9.66880,       4.02490,       +9.68179,  2266885.22,  3413335.42,  4988519.10,      50.786693,       -3.821032,   90218.81,  180098.20,    5554.96,             7078.83,    63.94,  33347.98,           33640.98,     -2.91,    -43.98,          50.49,  +2.80,  +1.52
  5,     UK003E,       0,  0.265085, 2459521.549196954351,   3.78262,   9.57244,              246.97743,  29.09201,       246.98916,       29.09846,      3.78262,      +9.57244,       3.77909,       +9.58366,  2266300.60,  3412540.27,  4988100.26,      50.791117,       -3.820541,   89270.98,  179409.07,    6627.09,             8150.96,  -140.63,  26677.97,           32337.82,     -2.50,    -37.87,          43.63,  +3.30,  +2.03
  6,     UK003E,       0,  0.305297, 2459521.549197419547,   3.49050,   9.47567,              247.18039,  28.84538,       247.17407,       28.84190,      3.49050,      +9.47567,       3.49428,       +9.46962,  2265627.59,  3411624.89,  4987618.10,      50.796211,       -3.819951,   88179.88,  178618.98,    7861.32,             9385.19,  -183.88,  30693.07,           31695.98,      1.34,     20.35,          23.55,  +2.27,  +1.01
  7,     UK003E,       0,  0.345557, 2459521.549197885673,   3.18207,   9.32831,              247.36392,  28.54808,       247.37866,       28.55617,      3.18207,      +9.32831,       3.17766,       +9.34244,  2264885.29,  3410615.27,  4987086.30,      50.801832,       -3.819282,   86976.50,  177752.44,    9222.63,            10746.50,  -101.57,  33812.95,           31605.02,     -3.13,    -47.26,          54.96,  +3.13,  +1.88
  8,     UK003E,       0,  0.385769, 2459521.549198351335,   2.86886,   9.24394,              247.59302,  28.29893,       247.57051,       28.28658,      2.86886,      +9.24394,       2.87943,       +9.22233,  2264192.48,  3409672.98,  4986589.96,      50.807080,       -3.818668,   85853.39,  176949.91,   10493.17,            12017.04,  -108.51,  31595.97,           31561.97,      4.71,     71.96,          84.07,  +5.79,  +4.55

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.