Orbital Analysis for matched events on 20210810_024620.770_UK

Summary for Event
-----------------
shower ID 922 PPE
Lg 10.27° Bg 21.33° Vg 62.55km/s
mass 0.48004g, abs. mag -2.8
Path Details
------------
start -5.05° 49.82° 97.60km
end   -5.10° 49.96° 65.75km

Orbit Details
-------------
Semimajor axis -2.80A.U., eccentricity 1.15, inclination 126.84°, Period 1000000000.00Y, LA Sun 137.42°, 

Full details below
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Detailed report below graphs

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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: 2459436.615518173669
Time: 2021-08-10 02:46:20.810840 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003H
 Convergence angle = 7.42094 deg
 R.A. =   2.45017  Dec = +24.38606 deg

Best intersection: Stations UK0024 and UK003H with Qconv = 7.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4175533.51 +/- 891.95 m
 Y =   -339906.30 +/- 961.96 m
 Z =   4925731.88 +/- 49.45 m
 Vx =    58078.86 +/- 2414.17 m/s
 Vy =      734.41 +/- 2976.79 m/s
 Vz =    25722.60 +/- 1662.17 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.591435e+05, -3.795848e+05, +4.070004e+02, +7.709754e+05, -9.069139e+05, -3.179229e+04
-3.795848e+05, +4.054993e+05, +7.460844e+02, -8.182014e+05, +9.643248e+05, +3.290128e+04
+4.070004e+02, +7.460844e+02, +1.972470e+03, -1.438362e+04, +1.529671e+04, +3.258865e+03
+7.709754e+05, -8.182014e+05, -1.438362e+04, +2.010117e+06, -2.382931e+06, -1.298724e+05
-9.069139e+05, +9.643248e+05, +1.529671e+04, -2.382931e+06, +2.846113e+06, +1.581613e+05
-3.179229e+04, +3.290128e+04, +3.258865e+03, -1.298724e+05, +1.581613e+05, +1.900949e+04

Timing offsets (from input data):
    UK0024: 0.000000 s
    UK003H: 0.000613 s

Reference point on the trajectory:
  Time: 2021-08-10 02:46:20.810840 UTC
  Lon     = +-5.047627 +/- 0.0121 deg
  Lat     = +49.805639 +/- 0.0066 deg
  Lat geo = +49.618764 +/- 0.0066 deg
  Ht      =  100576.54 +/- 616.14 m

  JD dynamic   = 2459436.616319384892 
  LST apparent = 355.3461400506 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   0.72447 +/- 3.0255 deg
  Dec       = +23.88642 +/- 0.9301 deg
  Azimuth   = 168.83003 +/- 6.6091 deg
  Elevation = +63.74230 +/- 0.2595 deg
  Vavg      =  61.36422 +/- 1.4850 km/s
  Vinit     =  63.52437 +/- 1.8091 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   1.02434 +/- 3.0255 deg
  Dec       = +23.87568 +/- 0.9301 deg
  Azimuth   = 168.22032 +/- 6.6091 deg
  Elevation = +63.69316 +/- 0.2595 deg
  Vavg      =  61.39113 +/- 1.4850 km/s
  Vinit     =  63.55128 +/- 1.8091 km/s
Radiant (geocentric, J2000):
  R.A.   =   0.47811 +/- 3.0466 deg
  Dec    = +23.56230 +/- 0.9240 deg
  Vg     =  62.54650 +/- 1.8408 km/s
  Vinf   =  63.52437 +/- 1.8091 km/s
  Zc     =  26.07439 +/- 0.2565 deg
  Zg     =  26.28020 +/- 0.2508 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  10.26635 +/- 3.0863 deg
  Bg     = +21.32895 +/- 0.3457 deg
  Vh     =  45.45899 +/- 2.8700 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 343.08525 +/- 3.2477 deg
  Bh     = +30.03077 +/- 0.9173 deg
  Vh_x   = -37.65382 +/- 2.3209 km/s
  Vh_y   =  11.45069 +/- 2.4323 km/s
  Vh_z   = -22.75063 +/- 0.9719 km/s
Orbit:
  La Sun = 137.419966 +/- -0.0000 deg
  a      =  -2.804810 +/- 7.5236 AU
  e      =   1.154866 +/- 0.1170
  i      = 126.843132 +/- 1.6751 deg
  peri   = 273.802228 +/- 3.6759 deg
  node   = 137.419006 +/- 0.0002 deg
  Pi     =  51.221234 +/- 3.6757 deg
  q      =   0.434370 +/- 0.0078 AU
  f      = 266.193637 +/- 3.6760 deg
  M      =        nan +/- nan deg
  Q      =  -6.043989 +/- 15.0460 AU
  n      =   0.209821 +/- 0.1281 deg/day
  T      = 1000000000.000000 +/- 427919773.4498 years
  Last perihelion JD = NaN 
  Tj     =  -2.364073 +/- 1.3539
Shower association:
  IAU No.  =  922
  IAU code =  PPE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.746471e-03, -3.755756e-04, -4.906097e+02, +1.338583e-07, -2.873989e-03, -1.358473e-03
q   , -3.755756e-04, +4.173551e-05, +3.352898e+01, -1.115165e-08, +2.095909e-04, +1.123680e-04
Tp  , -4.906097e+02, +3.352898e+01, +1.144867e+08, -1.317008e-02, +2.815699e+02, +1.363460e+02
node, +1.338583e-07, -1.115165e-08, -1.317008e-02, +3.938573e-12, -8.119417e-08, -3.984095e-08
peri, -2.873989e-03, +2.095909e-04, +2.815699e+02, -8.119417e-08, +1.786329e-03, +8.233135e-04
i   , -1.358473e-03, +1.123680e-04, +1.363460e+02, -3.984095e-08, +8.233135e-04, +4.032525e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.614381
 a2 = 8.825412

Mean time residuals from time vs. length:
  Station with reference time: UK0024
  Avg. res. = 1.310e-06 s
  Stddev    = 1.14e-03 s

Begin point on the trajectory:
  Lon =    -5.051524 +/- 0.0105 deg
  Lat =    49.818405 +/- 0.0057 deg
  Ht  = 97597.69 +/- 518.00 m
End point on the trajectory:
  Lon =    -5.095984 +/- 0.0097 deg
  Lat =    49.955689 +/- 0.0044 deg
  Ht  = 65754.51 +/- 284.84 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
    UK0024,   False,    -2.949770,    50.877440,   82.00,  15.036792,   6.489772,    97597.69,    66077.03,          0.017305,     59.58,     17.89,              57.23, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_024611_622_0576512.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   2.621642,   9.950010,    94325.52,    65754.51,          0.026718,    113.78,     47.78,              60.80, 1.0000,    True,    True, {"ff_name": "FF_UK003H_20210810_024615_566_0576768.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,     UK0024,       1,  0.000000, 2459436.615518173669, 312.53007,   0.21390,              232.23145,  26.72671,       232.19884,       26.71022,    312.53007,      +0.21390,     312.54710,       +0.18508,  4175591.05,  -339905.57,  4925757.36,      49.805397,       -5.047384,  100632.98,  217249.84,       0.00,               62.93,  -616.72,      0.00,           68934.88,    -36.43,   -121.55,         120.48,  +5.24,  +3.56
  1,     UK0024,       0,  0.040620, 2459436.615518643986, 311.91765,  -0.15606,              232.61704,  26.10007,       232.59224,       26.08756,    311.91765,      -0.15606,     311.93081,       -0.17805,  4172496.50,  -339944.70,  4924386.81,      49.818405,       -5.051524,   97597.69,  215206.94,    3384.69,             3321.76,    61.75,  83325.71,           68934.88,    -27.56,    -91.90,          91.95,  +2.02,  +0.36
  2,     UK0024,       0,  0.081088, 2459436.615519111976, 311.45880,  -0.43868,              232.90018,  25.62520,       232.88606,       25.61808,    311.45880,      -0.43868,     311.46656,       -0.45124,  4170206.10,  -339973.67,  4923372.41,      49.828041,       -5.054635,   95351.35,  213719.04,    5889.85,             5826.92,    -3.80,  61904.59,           68934.88,    -15.65,    -52.14,          52.53,  +1.13,  -0.52
  3,     UK0024,       0,  0.121576, 2459436.615519580897, 310.96834,  -0.71706,              233.21353,  25.13749,       233.19102,       25.12616,    310.96834,      -0.71706,     310.98071,       -0.73713,  4167842.46,  -340003.55,  4922325.58,      49.837992,       -5.057844,   93033.38,  212203.39,    8475.10,             8412.17,     9.48,  63852.31,           68934.88,    -24.81,    -82.71,          83.93,  +0.58,  -1.05
  4,     UK0024,       0,  0.162068, 2459436.615520049352, 310.48463,  -1.01283,              233.50820,  24.63753,       233.49516,       24.63097,    310.48463,      -1.01283,     310.49219,       -1.02449,  4165499.55,  -340033.18,  4921287.92,      49.847863,       -5.061029,   90735.91,  210721.64,   11037.68,            10974.75,    -0.17,  63286.19,           67063.31,    -14.32,    -47.71,          48.76,  +0.36,  -1.26
  5,     UK0024,       0,  0.202576, 2459436.615520518273, 309.98524,  -1.32573,              233.80560,  24.11426,       233.80861,       24.11577,    309.98524,      -1.32573,     309.98449,       -1.32303,  4163099.02,  -340063.53,  4920224.75,      49.857983,       -5.064293,   88382.14,  209224.94,   13663.29,            13600.36,    52.20,  64817.01,           66207.30,      3.30,     10.98,          11.30,  +0.16,  -1.44
  6,     UK0024,       0,  0.243068, 2459436.615520986728, 309.50474,  -1.62601,              234.08974,  23.61091,       234.10766,       23.61989,    309.50474,      -1.62601,     309.49624,       -1.60989,  4160823.22,  -340092.31,  4919216.82,      49.867584,       -5.067398,   86150.84,  207827.14,   16152.47,            16089.55,   -30.85,  61473.50,           65394.52,     19.54,     65.00,          67.37,  -0.34,  -1.93
  7,     UK0024,       0,  0.283572, 2459436.615521455649, 308.97930,  -1.89216,              234.43248,  23.11323,       234.41554,       23.10475,    308.97930,      -1.89216,     308.98950,       -1.90745,  4158493.38,  -340121.77,  4918184.96,      49.877420,       -5.070577,   83866.74,  206417.25,   18700.75,            18637.82,   -55.56,  62914.24,           64849.10,    -18.36,    -61.22,          63.87,  -0.41,  -1.98
  8,     UK0024,       0,  0.324076, 2459436.615521924570, 308.48093,  -2.20228,              234.72277,  22.59106,       234.72053,       22.58994,    308.48093,      -2.20228,     308.48348,       -2.20430,  4156198.87,  -340150.79,  4917168.74,      49.887114,       -5.073714,   81617.46,  205050.36,   21210.40,            21147.47,  -118.91,  61960.46,           64401.97,     -2.42,     -8.05,           8.45,  -0.48,  -2.04
  9,     UK0024,       0,  0.364564, 2459436.615522393025, 307.99856,  -2.50568,              234.99958,  22.08235,       235.01442,       22.08977,    307.99856,      -2.50568,     307.99214,       -2.49221,  4154000.87,  -340178.58,  4916195.26,      49.896406,       -5.076728,   79462.93,  203761.74,   23614.49,            23551.56,  -286.79,  59377.88,           63900.40,     16.00,     53.23,          56.26,  -0.47,  -2.02
 10,     UK0024,       0,  0.405112, 2459436.615522862412, 307.43220,  -2.80792,              235.35181,  21.53055,       235.34267,       21.52599,    307.43220,      -2.80792,     307.43879,       -2.81624,  4151558.11,  -340209.47,  4915113.39,      49.906740,       -5.080064,   77068.71,  202352.53,   26286.28,            26223.35,  -190.79,  65892.01,           63717.40,     -9.80,    -32.65,          34.75,  -0.41,  -1.94
 11,     UK0024,       0,  0.445620, 2459436.615523331333, 306.93948,  -3.13815,              235.61812,  20.99244,       235.64350,       21.00509,    306.93948,      -3.13815,     306.92771,       -3.11500,  4149333.54,  -340237.60,  4914128.15,      49.916158,       -5.083119,   74888.49,  201092.30,   28719.43,            28656.50,  -330.88,  60065.87,           63471.37,     27.14,     90.26,          96.67,  -0.49,  -2.01
 12,     UK0024,       0,  0.486176, 2459436.615523800720, 306.36207,  -3.45732,              235.96516,  20.41903,       235.97590,       20.42437,    306.36207,      -3.45732,     306.35832,       -3.44750,  4146887.81,  -340268.53,  4913044.95,      49.926519,       -5.086465,   72491.74,  199730.94,   31394.47,            31331.54,  -232.13,  65959.30,           63404.81,     11.43,     38.04,          41.02,  -0.47,  -1.97
 13,     UK0024,       0,  0.526672, 2459436.615524269640, 305.86583,  -3.76487,              236.24232,  19.89733,       236.26806,       19.91014,    305.86583,      -3.76487,     305.85415,       -3.74125,  4144751.99,  -340295.53,  4912099.02,      49.935573,       -5.089412,   70398.83,  198565.09,   33730.54,            33667.62,  -468.54,  57686.47,           63199.63,     27.32,     90.87,          98.57,  -0.15,  -1.64
 14,     UK0024,       0,  0.567196, 2459436.615524738561, 305.32679,  -4.06609,              236.55916,  19.35800,       236.57488,       19.36582,    305.32679,      -4.06609,     305.32066,       -4.05162,  4142519.88,  -340323.76,  4911110.44,      49.945042,       -5.092487,   68211.74,  197368.48,   36171.94,            36109.01,  -601.41,  60245.70,           62992.38,     16.62,     55.33,          60.37,  -0.12,  -1.60
 15,     UK0024,       0,  0.607708, 2459436.615525207482, 304.79064,  -4.35771,              236.87614,  18.82769,       236.87600,       18.82763,    304.79064,      -4.35771,     304.79326,       -4.35784,  4140341.07,  -340351.31,  4910145.46,      49.954291,       -5.095495,   66077.03,  196222.93,   38555.03,            38492.10,  -791.82,  58824.35,           62761.77,     -0.14,     -0.48,           0.53,  +0.06,  -1.40
  0,     UK003H,       1,  0.057455, 2459436.615518826526, 312.25598,  -7.38954,              228.85537,  19.36354,       228.92871,       19.39829,    312.25598,      -7.38954,     312.21142,       -7.32612,  4171408.92,  -339958.46,  4923905.13,      49.822980,       -5.052986,   96531.01,  274555.54,       0.00,             4511.32,   181.86,      0.00,           61383.25,    144.10,    341.89,         278.74,  +2.33,  +0.14
  1,     UK003H,       0,  0.097827, 2459436.615519293584, 311.86076,  -7.58396,              229.12259,  19.00626,       229.13551,       19.01238,    311.86076,      -7.58396,     311.85328,       -7.57276,  4169160.08,  -339986.89,  4922909.14,      49.832444,       -5.056045,   94325.52,  273220.96,    2459.70,             6971.02,    76.96,  60925.81,           61383.25,     25.23,     60.04,          49.17,  +0.74,  -1.44
  2,     UK003H,       0,  0.138195, 2459436.615519761108, 311.52745,  -7.85158,              229.29438,  18.61349,       229.33735,       18.63384,    311.52745,      -7.85158,     311.50174,       -7.81424,  4166976.53,  -340014.50,  4921942.06,      49.841639,       -5.059023,   92184.22,  271940.42,    4847.98,             9359.30,   -99.12,  59162.70,           61383.25,     83.80,    199.15,         163.88,  -0.02,  -2.19
  3,     UK003H,       0,  0.178599, 2459436.615520228632, 311.12253,  -8.09692,              229.54160,  18.20608,       229.55957,       18.21459,    311.12253,      -8.09692,     311.11226,       -8.08126,  4164582.87,  -340044.77,  4920881.94,      49.851726,       -5.062275,   89837.06,  270553.10,    7466.06,            11977.38,   -47.67,  64797.67,           61383.25,     34.91,     83.06,          68.69,  -0.48,  -2.64
  4,     UK003H,       0,  0.219015, 2459436.615520696156, 310.72906,  -8.37745,              229.75877,  17.77287,       229.78569,       17.78561,    310.72906,      -8.37745,     310.71347,       -8.35393,  4162160.06,  -340075.41,  4919808.89,      49.861944,       -5.065568,   87461.51,  269167.43,   10116.04,            14627.36,    34.91,  65567.66,           62488.49,     52.12,    123.97,         103.05,  -0.89,  -3.04
  5,     UK003H,       0,  0.259415, 2459436.615521164145, 310.32783,  -8.61789,              230.00152,  17.37073,       230.00293,       17.37140,    310.32783,      -8.61789,     310.32805,       -8.61666,  4159845.43,  -340104.68,  4918783.77,      49.871712,       -5.068725,   85192.23,  267861.84,   12647.69,            17159.01,     0.17,  62664.48,           62829.22,      2.71,      6.46,           5.39,  -1.02,  -3.16
  6,     UK003H,       0,  0.299811, 2459436.615521631669, 309.96088,  -8.90118,              230.18985,  16.94716,       230.21751,       16.96024,    309.96088,      -8.90118,     309.94514,       -8.87690,  4157571.16,  -340133.43,  4917776.51,      49.881316,       -5.071833,   82962.68,  266596.34,   15135.19,            19646.51,   -78.46,  61577.97,           62816.79,     53.21,    126.57,         106.23,  -1.18,  -3.31
  7,     UK003H,       0,  0.340223, 2459436.615522099193, 309.52505,  -9.13198,              230.46524,  16.53607,       230.44312,       16.52560,    309.52505,      -9.13198,     309.54006,       -9.15147,  4155191.30,  -340163.53,  4916722.49,      49.891373,       -5.075081,   80629.80,  265290.20,   17738.20,            22249.52,   -42.60,  64411.68,           62944.58,    -42.36,   -101.00,          85.16,  -1.13,  -3.25
  8,     UK003H,       0,  0.380615, 2459436.615522566717, 309.16830,  -9.41607,              230.64073,  16.11618,       230.65198,       16.12149,    309.16830,      -9.41607,     309.16298,       -9.40615,  4153000.69,  -340191.23,  4915752.29,      49.900637,       -5.078087,   78482.60,  264105.60,   20134.20,            24645.52,  -212.47,  59318.77,           62762.52,     21.49,     51.15,          43.33,  -1.04,  -3.15
  9,     UK003H,       0,  0.421035, 2459436.615523034707, 308.76877,  -9.70152,              230.85223,  15.67422,       230.87614,       15.68551,    308.76877,      -9.70152,     308.75581,       -9.68038,  4150659.92,  -340220.83,  4914715.59,      49.910542,       -5.081291,   76188.41,  262857.45,   22694.44,            27205.75,  -219.89,  63340.77,           62701.39,     45.57,    108.44,          92.30,  -1.18,  -3.28
 10,     UK003H,       0,  0.461415, 2459436.615523501765, 308.35731,  -9.90790,              231.11300,  15.29497,       231.08330,       15.28095,    308.35731,      -9.90790,     308.37751,       -9.93422,  4148508.81,  -340248.03,  4913762.88,      49.919651,       -5.084251,   74080.25,  261727.97,   25047.23,            29558.55,  -432.21,  58266.46,           62466.56,    -56.32,   -134.35,         114.81,  -1.24,  -3.33
 11,     UK003H,       0,  0.501859, 2459436.615523970220, 307.94676, -10.22868,              231.31267,  14.81630,       231.31853,       14.81907,    307.94676,     -10.22868,     307.94524,      -10.22347,  4146076.00,  -340278.79,  4912685.41,      49.929960,       -5.087582,   71696.22,  260469.16,   27708.15,            32219.47,  -340.47,  65792.61,           62459.15,     11.09,     26.42,          22.69,  -1.15,  -3.23
 12,     UK003H,       0,  0.542247, 2459436.615524437279, 307.54335, -10.46125,              231.54945,  14.41745,       231.52756,       14.40712,    307.54335,     -10.46125,     307.55910,      -10.48075,  4143927.10,  -340305.96,  4911733.68,      49.939072,       -5.090546,   69590.55,  259375.90,   30058.53,            34569.85,  -555.71,  58194.99,           62314.13,    -41.29,    -98.48,          84.92,  -1.03,  -3.10
 13,     UK003H,       0,  0.582655, 2459436.615524905268, 307.12329, -10.71535,              231.78813,  13.99139,       231.74727,       13.97212,    307.12329,     -10.71535,     307.15089,      -10.75184,  4141678.17,  -340334.40,  4910737.65,      49.948615,       -5.093643,   67387.05,  258249.32,   32518.32,            37029.64,  -662.82,  60873.79,           62181.82,    -76.77,   -183.25,         158.69,  -0.75,  -2.81
 14,     UK003H,       0,  0.622971, 2459436.615525371861, 306.85841, -10.97660,              231.88567,  13.63508,       231.91121,       13.64711,    306.85841,     -10.97660,     306.84525,      -10.95376,  4140011.93,  -340355.47,  4909999.69,      49.955689,       -5.095984,   65754.51,  257428.90,   34340.79,            38852.11, -1401.40,  45204.59,           61672.38,     48.01,    114.24,          99.29,  -0.17,  -2.22

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.