Orbital Analysis for matched events on 20211103_181601.584_UK

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Summary for Event
-----------------
shower ID 494 DEL
Lg 89.93° Bg 29.72° Vg 53.76km/s
mass 0.04196g, abs. mag -0.1
best visual mag 1.2
Path Details
------------
start -3.44° 49.34° 108.76km
end   -3.63° 49.09° 97.65km

Orbit Details
-------------
Semimajor axis 11.73A.U., eccentricity 0.96, inclination 100.69°, Period 40.15Y, LA Sun 221.25°, last Perihelion 1981-10-18

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: 2459522.261129445862
Time: 2021-11-03 18:16:01.584122 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0021 and UK003C
 Convergence angle = 24.48458 deg
 R.A. =  89.66766  Dec = +53.60050 deg

Best intersection: Stations UK0021 and UK003C with Qconv = 24.48 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2930342.67 +/- 67.29 m
 Y =  -3056979.54 +/- 22.27 m
 Z =   4897992.28 +/- 15.97 m
 Vx =      190.91 +/- 195.69 m/s
 Vy =    32346.85 +/- 106.61 m/s
 Vz =    44353.42 +/- 97.38 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.803521e+03, -5.343948e+02, -1.433512e+02, +1.056779e+04, -3.702508e+02, -1.539467e+03
-5.343948e+02, +5.374912e+02, +2.001184e+01, -1.569774e+03, +1.182985e+03, -4.793897e+02
-1.433512e+02, +2.001184e+01, +2.778167e+02, -8.081870e+02, -1.770323e+02, +1.104681e+02
+1.056779e+04, -1.569774e+03, -8.081870e+02, +3.925756e+04, -1.115981e+04, -3.040763e+03
-3.702508e+02, +1.182985e+03, -1.770323e+02, -1.115981e+04, +1.015601e+04, -1.417537e+03
-1.539467e+03, -4.793897e+02, +1.104681e+02, -3.040763e+03, -1.417537e+03, +1.519568e+03

Timing offsets (from input data):
    UK0021: 0.000000 s
    UK003C: -0.000612 s

Reference point on the trajectory:
  Time: 2021-11-03 18:16:01.584122 UTC
  Lon     = +-3.441098 +/- 0.0006 deg
  Lat     = +49.341633 +/- 0.0004 deg
  Lat geo = +49.154519 +/- 0.0004 deg
  Ht      =  108823.44 +/- 35.92 m

  JD dynamic   = 2459522.261930186767 
  LST apparent = 313.7883270795 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  89.66185 +/- 0.3478 deg
  Dec       = +53.89634 +/- 0.0941 deg
  Azimuth   =  25.83659 +/- 0.1765 deg
  Elevation = +19.71473 +/- 0.1523 deg
  Vavg      =  55.11343 +/- 0.0719 km/s
  Vinit     =  54.89609 +/- 0.0549 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  89.27184 +/- 0.3478 deg
  Dec       = +53.71482 +/- 0.0941 deg
  Azimuth   =  26.14392 +/- 0.1765 deg
  Elevation = +19.66720 +/- 0.1523 deg
  Vavg      =  55.24083 +/- 0.0719 km/s
  Vinit     =  55.02350 +/- 0.0549 km/s
Radiant (geocentric, J2000):
  R.A.   =  89.89966 +/- 0.3676 deg
  Dec    = +53.15592 +/- 0.1216 deg
  Vg     =  53.76299 +/- 0.0561 km/s
  Vinf   =  54.89609 +/- 0.0549 km/s
  Zc     =  70.45370 +/- 0.1548 deg
  Zg     =  71.29747 +/- 0.1556 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  89.93072 +/- 0.2533 deg
  Bg     = +29.71825 +/- 0.1219 deg
  Vh     =  41.38856 +/- 0.0709 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  50.39190 +/- 0.3468 deg
  Bh     = +40.08708 +/- 0.1782 deg
  Vh_x   = -20.18748 +/- 0.2055 km/s
  Vh_y   = -24.39545 +/- 0.0947 km/s
  Vh_z   = -26.65221 +/- 0.0859 km/s
Orbit:
  La Sun = 221.248807 +/- 0.0000 deg
  a      =  11.725306 +/- 1.1091 AU
  e      =   0.964578 +/- 0.0029
  i      = 100.692025 +/- 0.3793 deg
  peri   = 280.599203 +/- 0.2980 deg
  node   = 221.247790 +/- -0.0000 deg
  Pi     = 141.846993 +/- 0.2980 deg
  q      =   0.415329 +/- 0.0029 AU
  f      = 259.400660 +/- 0.2980 deg
  M      = 359.046921 +/- 0.1079 deg
  Q      =  23.035284 +/- 2.2198 AU
  n      =   0.024548 +/- 0.0027 deg/day
  T      =  40.150129 +/- 6.0131 years
  Last perihelion JD = 2444895.996910 (1981-10-18 11:55:32.986562) +/- 2196.4196 days
  Tj     =   0.296924 +/- 0.0298
Shower association:
  IAU No.  =  494
  IAU code =  DEL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +8.712149e-06, -5.201589e-06, -6.563255e+00, +2.315898e-09, +3.054800e-04, -9.759043e-04
q   , -5.201589e-06, +8.944699e-06, +3.600555e+00, -7.195251e-10, -8.802036e-04, +3.089319e-04
Tp  , -6.563255e+00, +3.600555e+00, +5.032421e+06, -1.861172e-03, -1.921719e+02, +7.835673e+02
node, +2.315898e-09, -7.195251e-10, -1.861172e-03, +8.324764e-13, +2.008897e-09, -3.483272e-07
peri, +3.054800e-04, -8.802036e-04, -1.921719e+02, +2.008897e-09, +9.410584e-02, -1.530679e-03
i   , -9.759043e-04, +3.089319e-04, +7.835673e+02, -3.483272e-07, -1.530679e-03, +1.457913e-01

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: UK0021
  Avg. res. = 7.469e-06 s
  Stddev    = 2.73e-03 s

Begin point on the trajectory:
  Lon =    -3.442128 +/- 0.0005 deg
  Lat =    49.340243 +/- 0.0005 deg
  Ht  = 108760.83 +/- 27.44 m
End point on the trajectory:
  Lon =    -3.628128 +/- 0.0003 deg
  Lat =    49.091264 +/- 0.0009 deg
  Ht  = 97648.53 +/- 48.92 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
    UK0021,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   108760.83,    97648.53,          0.015216,     51.86,      1.86,             117.92, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20211103_181553_612_0083200.fits"}
    UK003C,   False,    -4.949858,    50.224871,   55.00,   0.000000,   0.000000,   108003.42,   100531.05,          0.009270,     27.50,     11.43,              90.56, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20211103_181555_324_0074496.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,     UK0021,       0,  0.000000, 2459522.261129445862, 315.40462,  -4.34733,              177.94304,  34.94144,       177.96256,       34.95064,    315.40462,      -4.34733,     315.38836,       -4.33850,  2930342.03, -3057088.91,  4897842.30,      49.340243,       -3.442128,  108760.83,  186668.30,       0.00,              185.62,    75.10,      0.00,           54120.68,      2.12,    -60.12,          66.47,  +3.65,  +2.29
  1,     UK0021,       0,  0.081044, 2459522.261130383704, 314.79370,  -5.40995,              178.70472,  33.89032,       178.70411,       33.89004,    314.79370,      -5.40995,     314.79455,       -5.41023,  2930326.16, -3059776.88,  4894156.61,      49.306061,       -3.467776,  107223.47,  188860.59,    4561.78,             4747.40,   187.88,  56287.66,           54120.68,     -0.07,      1.90,           2.08,  +2.64,  +1.26
  2,     UK0021,       0,  0.121488, 2459522.261130852159, 314.56615,  -5.87429,              178.98393,  33.42892,       179.01164,       33.44190,    314.56615,      -5.87429,     314.54326,       -5.86157,  2930319.36, -3060928.54,  4892577.48,      49.291410,       -3.478782,  106565.64,  189825.78,    6516.26,             6701.88,   -77.86,  48325.64,           54120.68,      3.09,    -87.81,          95.47,  +1.65,  +0.26
  3,     UK0021,       0,  0.162000, 2459522.261131321080, 314.24618,  -6.38488,              179.36958,  32.92127,       179.36497,       32.91911,    314.24618,      -6.38488,     314.25077,       -6.38701,  2930311.36, -3062284.64,  4890718.01,      49.274152,       -3.491707,  105791.69,  190981.86,    8817.72,             9003.34,    -0.35,  56809.30,           54120.68,     -0.53,     14.75,          15.94,  +1.63,  +0.23
  4,     UK0021,       0,  0.202484, 2459522.261131789535, 313.99880,  -6.88716,              179.66469,  32.42031,       179.69004,       32.43214,    313.99880,      -6.88716,     313.97806,       -6.87541,  2930303.83, -3063560.61,  4888968.43,      49.257909,       -3.503872,  105064.12,  192088.53,   10983.17,            11168.79,   -57.31,  53489.00,           54057.68,      2.90,    -81.90,          88.00,  +1.46,  +0.04
  5,     UK0021,       0,  0.243000, 2459522.261132258456, 313.66826,  -7.39707,              180.05308,  31.91092,       180.03774,       31.90379,    313.66826,      -7.39707,     313.68240,       -7.40421,  2930295.57, -3064959.47,  4887050.34,      49.240096,       -3.517187,  104267.20,  193322.51,   13357.19,            13542.81,    92.54,  58594.59,           54553.55,     -1.82,     50.07,          53.45,  +1.47,  +0.04
  6,     UK0021,       0,  0.283492, 2459522.261132726911, 313.39480,  -7.89689,              180.37012,  31.41046,       180.36116,       31.40630,    313.39480,      -7.89689,     313.40368,       -7.90108,  2930287.72, -3066290.99,  4885224.58,      49.223135,       -3.529863,  103509.35,  194516.84,   15616.92,            15802.54,   129.41,  55806.82,           54873.30,     -1.07,     29.53,          31.33,  +1.61,  +0.17
  7,     UK0021,       0,  0.323972, 2459522.261133195367, 313.12022,  -8.38152,              180.68444,  30.92424,       180.67395,       30.91938,    313.12022,      -8.38152,     313.13063,       -8.38644,  2930279.94, -3067608.26,  4883418.36,      49.206350,       -3.542400,  102760.27,  195717.00,   17852.47,            18038.10,   142.78,  55226.26,           55046.82,     -1.27,     34.91,          36.81,  +1.39,  -0.07
  8,     UK0021,       0,  0.364400, 2459522.261133663356, 312.87856,  -8.81539,              180.95770,  30.48819,       180.95043,       30.48483,    312.87856,      -8.81539,     312.88638,       -8.81882,  2930272.93, -3068796.03,  4881789.71,      49.191210,       -3.553716,  102085.40,  196814.76,   19868.25,            20053.87,   -60.79,  49860.76,           54825.02,     -0.88,     24.39,          25.58,  +1.60,  +0.13
  9,     UK0021,       0,  0.404904, 2459522.261134132277, 312.57795,  -9.32336,              181.29385,  29.97652,       181.27491,       29.96777,    312.57795,      -9.32336,     312.59614,       -9.33234,  2930264.50, -3070224.85,  4879830.54,      49.172993,       -3.567288,  101274.32,  198154.51,   22293.10,            22478.72,   140.55,  59867.05,           54956.97,     -2.35,     64.26,          66.93,  +1.74,  +0.25
 10,     UK0021,       0,  0.445348, 2459522.261134600267, 312.35184,  -9.77902,              181.54229,  29.51737,       181.55213,       29.52191,    312.35184,      -9.77902,     312.34509,       -9.77433,  2930257.14, -3071470.94,  4878121.92,      49.157100,       -3.579141,  100567.59,  199339.77,   24407.86,            24593.48,    35.09,  52288.49,           54919.64,      1.21,    -33.69,          34.88,  +2.41,  +0.91
 11,     UK0021,       0,  0.485736, 2459522.261135067791, 312.11523, -10.16759,              181.80115,  29.12450,       181.79812,       29.12310,    312.11523,     -10.16759,     312.11992,      -10.16904,  2930250.50, -3072596.95,  4876577.96,      49.142735,       -3.589863,   99929.46,  200424.08,   26318.81,            26504.43,  -271.09,  47314.97,           54624.12,     -0.38,     10.46,          10.77,  +2.87,  +1.36
 12,     UK0021,       0,  0.526240, 2459522.261135536712, 311.81663, -10.67146,              182.12373,  28.61427,       182.11114,       28.60848,    311.81663,     -10.67146,     311.82993,      -10.67751,  2930241.83, -3074066.45,  4874563.01,      49.123982,       -3.603799,   99097.47,  201857.65,   28812.71,            28998.33,    -0.71,  61571.63,           54657.81,     -1.61,     43.92,          44.91,  +3.59,  +2.06
 13,     UK0021,       0,  0.566636, 2459522.261136004236, 311.59055, -11.07122,              182.36460,  28.20903,       182.35512,       28.20467,    311.59055,     -11.07122,     311.60130,      -11.07579,  2930234.94, -3075232.91,  4872963.58,      49.109092,       -3.614891,   98437.59,  203010.35,   30792.32,            30977.94,  -238.68,  49005.14,           54525.89,     -1.22,     33.33,          33.89,  +3.71,  +2.17
 14,     UK0021,       0,  0.607108, 2459522.261136472691, 311.35142, -11.55891,              182.61446,  27.71496,       182.64036,       27.72686,    311.35142,     -11.55891,     311.33093,      -11.54633,  2930226.70, -3076629.03,  4871049.24,      49.091264,       -3.628128,   97648.53,  204406.71,   33161.69,            33347.31,   -91.06,  58543.45,           54535.03,      3.31,    -92.10,          92.99,  +3.99,  +2.44
  0,     UK003C,       1,  0.002290, 2459522.261129479855, 349.98974,   5.94219,              131.51429,  35.66057,       131.54028,       35.70444,    349.98974,      +5.94219,     349.94991,       +5.97047,  2930342.67, -3056979.00,  4897993.01,      49.341640,       -3.441105,  108823.75,  183441.57,       0.00,                0.91,  -235.33,      0.00,           57584.63,    -59.92,   -143.89,         175.27,  +5.15,  +3.83
  1,     UK003C,       0,  0.042306, 2459522.261129942723, 349.50807,   5.34901,              132.37996,  35.36879,       132.38292,       35.37370,    349.50807,      +5.34901,     349.50377,       +5.35218,  2930334.21, -3058412.57,  4896027.33,      49.323413,       -3.454774,  108003.42,  183486.57,    2432.92,             2432.01,    -0.95,  60798.79,           57584.63,     -6.73,    -16.19,          19.71,  +2.87,  +1.55
  2,     UK003C,       0,  0.082366, 2459522.261130406521, 349.03995,   4.69062,              133.26277,  35.00769,       133.26831,       35.01671,    349.03995,      +4.69062,     349.03205,       +4.69647,  2930325.24, -3059933.13,  4893942.36,      49.304074,       -3.469255,  107134.19,  183570.09,    5013.48,             5012.57,   380.47,  64417.38,           57584.63,    -12.41,    -29.86,          36.33,  +2.45,  +1.13
  3,     UK003C,       0,  0.122398, 2459522.261130869854, 348.70149,   4.23558,              133.88487,  34.76170,       133.88566,       34.76298,    348.70149,      +4.23558,     348.70082,       +4.23641,  2930318.94, -3061000.62,  4892478.64,      49.290493,       -3.479467,  106524.48,  183648.32,    6825.12,             6824.21,    -5.49,  45254.73,           57584.63,     -1.77,     -4.26,           5.18,  +1.49,  +0.17
  4,     UK003C,       0,  0.162466, 2459522.261131333653, 348.31718,   3.66661,              134.61608,  34.43243,       134.62785,       34.45109,    348.31718,      +3.66661,     348.30068,       +3.67879,  2930311.30, -3062295.37,  4890703.30,      49.274015,       -3.491812,  105785.57,  183768.75,    9022.45,             9021.54,    -7.74,  54840.06,           56030.38,    -25.89,    -62.28,          75.70,  +1.41,  +0.09
  5,     UK003C,       0,  0.202502, 2459522.261131796986, 347.92426,   3.14544,              135.32523,  34.14575,       135.32831,       34.15057,    347.92426,      +3.14544,     347.92065,       +3.14860,  2930304.02, -3063527.79,  4889013.43,      49.258327,       -3.503566,  105082.82,  183907.47,   11114.01,            11113.09,  -114.01,  52241.82,           55045.40,     -6.71,    -16.17,          19.64,  +1.21,  -0.11
  6,     UK003C,       0,  0.242554, 2459522.261132260785, 347.49039,   2.54284,              136.11755,  33.80056,       136.11937,       33.80336,    347.49039,      +2.54284,     347.48881,       +2.54468,  2930295.73, -3064933.64,  4887085.75,      49.240425,       -3.516945,  104281.91,  184095.68,   13499.89,            13498.97,    73.18,  59569.55,           55178.45,     -3.92,     -9.45,          11.46,  +1.16,  -0.17
  7,     UK003C,       0,  0.282590, 2459522.261132724117, 347.11040,   2.03416,              136.79648,  33.51151,       136.79081,       33.50286,    347.11040,      +2.03416,     347.11964,       +2.02846,  2930288.62, -3066137.56,  4885434.96,      49.225089,       -3.528421,  103596.63,  184280.37,   15543.06,            15542.15,   -81.47,  51033.44,           54888.56,     12.15,     29.29,          35.50,  +1.20,  -0.13
  8,     UK003C,       0,  0.322662, 2459522.261133187916, 346.71366,   1.44547,              137.53046,  33.15406,       137.53593,       33.16230,    346.71366,      +1.44547,     346.70732,       +1.45091,  2930280.66, -3067487.31,  4883584.20,      49.207891,       -3.541262,  102829.01,  184515.06,   17833.75,            17832.83,     9.42,  57164.22,           54905.08,    -11.64,    -28.02,          33.92,  +1.31,  -0.02
  9,     UK003C,       0,  0.362706, 2459522.261133651249, 346.29363,   0.88476,              138.26952,  32.82774,       138.26559,       32.82191,    346.29363,      +0.88476,     346.30061,       +0.88089,  2930272.77, -3068822.89,  4881752.88,      49.190868,       -3.553963,  102070.16,  184774.99,   20100.36,            20099.45,    77.78,  56603.17,           55006.11,      8.28,     19.95,          24.11,  +1.36,  +0.03
 10,     UK003C,       0,  0.402762, 2459522.261134115048, 345.92739,   0.35377,              138.93055,  32.50157,       138.93279,       32.50486,    345.92739,      +0.35377,     345.92598,       +0.35596,  2930265.49, -3070056.21,  4880061.77,      49.175143,       -3.565700,  101370.00,  185038.93,   22193.44,            22192.53,   -28.06,  52253.86,           54936.08,     -4.70,    -11.33,          13.67,  +1.91,  +0.57
 11,     UK003C,       0,  0.442830, 2459522.261134578846, 345.48443,  -0.27686,              139.71804,  32.11309,       139.72350,       32.12101,    345.48443,      -0.27686,     345.47880,       -0.27157,  2930256.76, -3071535.44,  4878033.49,      49.156278,       -3.579738,  100531.05,  185387.62,   24703.84,            24702.93,   282.76,  62653.52,           55192.67,    -11.37,    -27.40,          33.01,  +2.00,  +0.66

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.