Orbital Analysis for matched events on 20210810_023301.465_UK

Summary for Event
-----------------
shower ID 547 KAP
Lg 50.24° Bg 15.05° Vg 65.66km/s
mass 0.01615g, abs. mag -0.7
Path Details
------------
start -2.83° 50.13° 108.58km
end   -2.92° 50.14° 100.25km

Orbit Details
-------------
Semimajor axis 2.97A.U., eccentricity 0.66, inclination 153.32°, Period 5.11Y, LA Sun 137.41°, last Perihelion 2021-08-01

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: 2459436.606266956776
Time: 2021-08-10 02:33:01.505701 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 15.05775 deg
 R.A. =  42.69478  Dec = +32.47543 deg
Intersection 2 - Stations: UK000H and UK0038
 Convergence angle = 22.79591 deg
 R.A. =  42.95047  Dec = +32.46109 deg
Intersection 3 - Stations: UK002D and UK0038
 Convergence angle = 7.73846 deg
 R.A. =  43.41883  Dec = +32.59551 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 22.80 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4146561.64 +/- 74.41 m
 Y =   -417404.40 +/- 51.40 m
 Z =   4957192.81 +/- 23.63 m
 Vx =    40958.92 +/- 515.65 m/s
 Vy =    38408.82 +/- 592.09 m/s
 Vz =    35806.30 +/- 132.50 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.880983e+03, -4.036267e+03, +1.801783e+03, +3.781882e+04, -3.066138e+04, +9.110561e+03
-4.036267e+03, +2.802923e+03, -1.253763e+03, -2.568673e+04, +2.093722e+04, -6.331182e+03
+1.801783e+03, -1.253763e+03, +5.922981e+02, +1.138568e+04, -9.400647e+03, +2.963873e+03
+3.781882e+04, -2.568673e+04, +1.138568e+04, +2.866548e+05, -2.319304e+05, +6.561011e+04
-3.066138e+04, +2.093722e+04, -9.400647e+03, -2.319304e+05, +1.887980e+05, -5.412734e+04
+9.110561e+03, -6.331182e+03, +2.963873e+03, +6.561011e+04, -5.412734e+04, +1.652771e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0025: 0.000000 s
    UK002D: 0.000004 s
    UK0038: -0.000033 s
    UK003E: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:33:01.505701 UTC
  Lon     = +-2.802400 +/- 0.0006 deg
  Lat     = +50.132417 +/- 0.0004 deg
  Lat geo = +49.946198 +/- 0.0004 deg
  Ht      =  110629.32 +/- 68.43 m

  JD dynamic   = 2459436.607068167999 
  LST apparent = 354.2518111832 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.15971 +/- 0.6707 deg
  Dec       = +32.52506 +/- 0.0518 deg
  Azimuth   =  97.23736 +/- 0.5438 deg
  Elevation = +50.16703 +/- 0.4515 deg
  Vavg      =  64.69964 +/- 0.2036 km/s
  Vinit     =  66.59551 +/- 0.1520 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  43.36270 +/- 0.6707 deg
  Dec       = +32.41925 +/- 0.0518 deg
  Azimuth   =  97.18630 +/- 0.5438 deg
  Elevation = +49.96842 +/- 0.4515 deg
  Vavg      =  64.89317 +/- 0.2036 km/s
  Vinit     =  66.78904 +/- 0.1520 km/s
Radiant (geocentric, J2000):
  R.A.   =  43.09254 +/- 0.6745 deg
  Dec    = +32.24657 +/- 0.0535 deg
  Vg     =  65.66483 +/- 0.1542 km/s
  Vinf   =  66.59551 +/- 0.1520 km/s
  Zc     =  39.80986 +/- 0.4532 deg
  Zg     =  40.10184 +/- 0.4581 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  50.24067 +/- 0.5499 deg
  Bg     = +15.05335 +/- 0.2165 deg
  Vh     =  38.09401 +/- 0.1900 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  52.20185 +/- 1.0252 deg
  Bh     = +26.59752 +/- 0.3263 deg
  Vh_x   = -20.87637 +/- 0.5167 km/s
  Vh_y   = -26.91545 +/- 0.3350 km/s
  Vh_z   = -17.05547 +/- 0.2805 km/s
Orbit:
  La Sun = 137.411091 +/- 0.0000 deg
  a      =   2.966237 +/- 0.1712 AU
  e      =   0.660638 +/- 0.0160
  i      = 153.321942 +/- 0.3048 deg
  peri   = 169.226334 +/- 2.3599 deg
  node   = 137.405955 +/- 0.0001 deg
  Pi     = 306.632289 +/- 2.3599 deg
  q      =   1.006629 +/- 0.0020 AU
  f      =  10.766245 +/- 2.3598 deg
  M      =   1.659435 +/- 0.3994 deg
  Q      =   4.925845 +/- 0.3405 AU
  n      =   0.192928 +/- 0.0136 deg/day
  T      =   5.108689 +/- 0.4622 years
  Last perihelion JD = 2459428.005750 (2021-08-01 12:08:16.763550) +/- 1.8936 days
  Tj     =   0.741668 +/- 0.0886
Shower association:
  IAU No.  =  547
  IAU code =  KAP

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.727685e-04, +3.314946e-05, +3.210717e-02, +2.498829e-08, +6.982849e-04, -8.942268e-05
q   , +3.314946e-05, +4.287441e-06, +3.993025e-03, +3.029109e-09, +8.682125e-05, -1.081269e-05
Tp  , +3.210717e-02, +3.993025e-03, +3.826273e+00, +2.936693e-06, +8.321780e-02, -1.050172e-02
node, +2.498829e-08, +3.029109e-09, +2.936693e-06, +2.348105e-12, +6.386986e-08, -8.405915e-09
peri, +6.982849e-04, +8.682125e-05, +8.321780e-02, +6.386986e-08, +1.809917e-03, -2.284051e-04
i   , -8.942268e-05, -1.081269e-05, -1.050172e-02, -8.405915e-09, -2.284051e-04, +3.009571e-05

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: UK000H
  Avg. res. = 2.674e-06 s
  Stddev    = 1.64e-03 s

Begin point on the trajectory:
  Lon =    -2.825702 +/- 0.0005 deg
  Lat =    50.134317 +/- 0.0003 deg
  Ht  = 108581.97 +/- 48.97 m
End point on the trajectory:
  Lon =    -2.921418 +/- 0.0004 deg
  Lat =    50.142014 +/- 0.0003 deg
  Ht  = 100251.72 +/- 50.66 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000371,  57.383356,   108581.97,   100302.40,          0.001786,      4.20,      2.33,              71.88, 0.9033,    True,    True, {"ff_name": "FF_UK000H_20210810_023256_648_0561152.fits"}
    UK0025,    True,    -2.949750,    50.877380,   82.00, 4851.385920,   1.464056,   146419.86,   127473.57,          3.325449,       nan,       nan,              44.06, 0.0000,    True,    True, {"ff_name": "FF_UK0025_20210810_023257_360_0556544.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   108439.52,   100702.01,          0.013632,     42.32,     14.16,              73.01, 0.9146,    True,    True, {"ff_name": "FF_UK002D_20210810_023256_833_0560896.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   108325.89,   100251.72,          0.013176,     39.23,      8.88,              63.33, 0.7986,    True,    True, {"ff_name": "FF_UK0038_20210810_023258_695_0557056.fits"}
    UK003E,    True,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   107946.30,   102051.55,          1.939191,       nan,       nan,              73.01, 0.0000,    True,    True, {"ff_name": "FF_UK003E_20210810_023256_626_0560128.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,     UK000H,       1,  0.000000, 2459436.606266956776, 325.93628,  12.44599,              222.39076,  44.78933,       222.41183,       44.79928,    325.93628,     +12.44599,     325.92694,      +12.46146,  4146557.47,  -417408.30,  4957189.17,      50.132422,       -2.802289,  110624.12,  155633.27,       0.00,                6.77,    17.42,      0.00,           66958.76,     23.68,    -42.64,          64.64,  +4.29,  +3.33
  1,     UK000H,       0,  0.040624, 2459436.606267427094, 325.09665,  11.98109,              223.13767,  44.01164,       223.13985,       44.01267,    325.09665,     +11.98109,     325.09584,      +11.98270,  4144921.74,  -418942.19,  4955759.21,      50.134317,       -2.825702,  108581.97,  154867.52,    2659.55,             2666.33,   -28.40,  65467.53,           66958.76,      2.46,     -4.43,           6.75,  +1.67,  +0.72
  2,     UK000H,       0,  0.081280, 2459436.606267897412, 324.23337,  11.48554,              223.87987,  43.19240,       223.87598,       43.19059,    324.23337,     +11.48554,     324.23547,      +11.48265,  4143238.53,  -420520.61,  4954287.75,      50.136263,       -2.849806,  106481.01,  154123.56,    5396.30,             5403.08,     0.84,  67314.77,           66958.76,     -4.40,      7.91,          12.11,  +0.63,  -0.31
  3,     UK000H,       0,  0.121952, 2459436.606268368196, 323.36075,  10.97025,              224.60651,  42.34765,       224.60638,       42.34759,    323.36075,     +10.97025,     323.36132,      +10.97016,  4141538.18,  -422115.09,  4952801.30,      50.138226,       -2.874172,  104359.12,  153418.15,    8160.91,             8167.68,    56.87,  67973.22,           66958.76,     -0.15,      0.26,           0.41,  +0.53,  -0.40
  4,     UK000H,       0,  0.162624, 2459436.606268838979, 322.47885,  10.44853,              225.32580,  41.48939,       225.32611,       41.48953,    322.47885,     +10.44853,     322.47939,      +10.44876,  4139831.96,  -423715.09,  4951309.72,      50.140191,       -2.898640,  102230.36,  152757.57,   10935.08,            10941.85,   122.47,  68208.28,           67322.13,      0.35,     -0.63,           0.97,  +0.48,  -0.44
  5,     UK000H,       0,  0.203240, 2459436.606269309297, 321.67495,   9.97139,              225.96835,  40.70253,       225.96720,       40.70200,    321.67495,      +9.97139,     321.67634,       +9.97053,  4138286.34,  -425164.47,  4949958.55,      50.141968,       -2.920835,  100302.40,  152201.19,   13448.10,            13454.88,   -69.35,  61872.85,           66648.25,     -1.31,      2.36,           3.66,  +0.90,  -0.01
  6,     UK000H,       1,  0.243816, 2459436.606269778684, 320.93297,   9.51322,              226.54068,  39.95798,       226.55252,       39.96340,    320.93297,      +9.51322,     320.92839,       +9.52223,  4136852.98,  -426508.59,  4948705.50,      50.143613,       -2.941444,   98514.78,  151721.27,   15778.62,            15785.39,  -441.01,  57435.83,           65422.53,     13.60,    -24.47,          38.06,  +4.16,  +3.25
  0,     UK0025,       1,  1.958741, 2459436.606289627496,   9.83414,  16.55307,              154.13587,  53.43760,       155.79108,       56.33696,      9.83414,     +16.55307,       8.02849,      +19.06897,  4175186.42,  -390561.79,  4982216.60,      50.098708,       -2.406325,  146419.86,  174959.32,       0.00,            46541.31, -83891.40,      0.00,           90313.94,   1928.06,  -9112.59,       10985.19,  +7.28,  +6.07
  1,     UK0025,       1,  1.998849, 2459436.606290091760,   9.31078,  16.16975,              155.12339,  53.21130,       156.89686,       56.17685,      9.31078,     +16.16975,       7.44837,      +18.75033,  4173108.31,  -392510.51,  4980399.92,      50.101190,       -2.435660,  143814.92,  172171.03,    3378.81,            43162.50, -89941.22,  84242.75,           90313.94,   1943.47,  -9221.33,       11294.67,  +3.61,  +2.43
  2,     UK0025,       1,  2.038949, 2459436.606290555559,   8.69136,  15.74665,              156.26843,  52.96478,       158.16135,       55.97961,      8.69136,     +15.74665,       6.78157,      +18.38006,  4170788.79,  -394685.62,  4978372.20,      50.103954,       -2.468415,  140908.28,  169084.99,    7150.14,            39391.17, -96383.04,  94048.23,           90313.94,   1949.60,  -9262.81,       11552.09,  +2.25,  +1.11
  3,     UK0025,       1,  2.079053, 2459436.606291019823,   8.07037,  15.31784,              157.40826,  52.70455,       159.42208,       55.76799,      8.07037,     +15.31784,       6.11258,      +18.00470,  4168534.17,  -396799.87,  4976401.21,      50.106634,       -2.500289,  138083.78,  166112.67,   10815.95,            35725.36, -102719.59,  91407.44,           90313.94,   1955.93,  -9305.90,       11813.01,  +1.69,  +0.59
  4,     UK0025,       1,  2.119181, 2459436.606291484553,   7.39685,  14.83002,              158.64143,  52.39057,       160.79915,       55.51909,      7.39685,     +14.83002,       5.37651,      +17.58702,  4166131.44,  -399053.00,  4974300.74,      50.109483,       -2.534281,  135074.68,  162976.75,   14722.57,            31818.74, -109298.56,  97354.04,           91956.65,   1968.31,  -9394.24,       12153.33,  +1.76,  +0.70
  5,     UK0025,       1,  2.159281, 2459436.606291948352,   6.75998,  14.39308,              159.78588,  52.10809,       162.06065,       55.27483,      6.75998,     +14.39308,       4.69671,      +17.19739,  4163983.14,  -401067.55,  4972422.70,      50.112025,       -2.564721,  132384.94,  160201.64,   18215.51,            28325.80, -115461.98,  87105.79,           91732.99,   1971.15,  -9411.86,       12387.02,  +1.67,  +0.65
  6,     UK0025,       1,  2.199377, 2459436.606292412616,   6.13815,  13.96733,              160.89196,  51.82468,       163.27736,       55.02404,      6.13815,     +13.96733,       4.03555,      +16.81484,  4161954.88,  -402969.53,  4970649.59,      50.114419,       -2.593495,  129846.12,  157607.95,   21513.29,            25028.02, -121429.97,  82247.01,           90637.10,   1972.67,  -9419.62,       12601.42,  +2.30,  +1.31
  7,     UK0025,       1,  2.239485, 2459436.606292876881,   5.54986,  13.54355,              161.93500,  51.52839,       164.43704,       54.77078,      5.54986,     +13.54355,       3.39991,      +16.44377,  4160059.01,  -404747.37,  4968992.22,      50.116652,       -2.620424,  127473.57,  155207.88,   24595.80,            21945.51, -127183.50,  76855.36,           89031.94,   1979.47,  -9466.91,       12859.93,  +4.80,  +3.85
  0,     UK002D,       0,  0.036913, 2459436.606267383788, 332.02007,  -0.78461,              208.50903,  34.27366,       208.51517,       34.27770,    332.02007,      -0.78461,     332.01658,       -0.77924,  4144807.62,  -419049.21,  4955659.45,      50.134449,       -2.827309,  108439.52,  188976.70,       0.00,             2851.87,   404.25,      0.00,           63649.26,      6.78,    -20.30,          23.36,  +2.45,  +1.07
  1,     UK002D,       0,  0.077229, 2459436.606267850380, 331.46434,  -1.13687,              209.02069,  33.77067,       209.00939,       33.76327,    331.46434,      -1.13687,     331.47138,       -1.14677,  4143434.34,  -420336.98,  4954458.93,      50.136037,       -2.847004,  106725.40,  188401.63,    2232.83,             5084.70,   -47.79,  55383.15,           63649.26,    -12.48,     37.31,          43.07,  +0.65,  -0.73
  2,     UK002D,       0,  0.117633, 2459436.606268317904, 330.79522,  -1.58165,              209.62094,  33.14258,       209.60470,       33.13199,    330.79522,      -1.58165,     330.80539,       -1.59592,  4141766.60,  -421900.89,  4953000.99,      50.137962,       -2.870903,  104644.14,  187735.79,    4944.43,             7796.30,   -26.91,  67112.22,           63649.26,    -17.92,     53.57,          62.07,  +0.68,  -0.69
  3,     UK002D,       0,  0.158041, 2459436.606268785894, 330.12073,  -2.03225,              210.21612,  32.50431,       210.19699,       32.49190,    330.12073,      -2.03225,     330.13281,       -2.04910,  4140094.66,  -423468.74,  4951539.37,      50.139888,       -2.894878,  102558.09,  187105.54,    7662.85,            10514.72,     0.52,  67274.41,           63649.26,    -21.09,     63.03,          73.27,  +0.47,  -0.89
  4,     UK002D,       0,  0.198433, 2459436.606269253418, 329.53223,  -2.45937,              210.71533,  31.91285,       210.72066,       31.91629,    329.53223,      -2.45937,     329.52987,       -2.45466,  4138606.74,  -424864.02,  4950238.64,      50.141600,       -2.916248,  100702.01,  186576.92,   10082.07,            12933.94,  -270.18,  59893.55,           63375.89,      5.87,    -17.56,          20.47,  +0.89,  -0.46
  0,     UK0038,       0,  0.042999, 2459436.606267455500, 344.08770,  -1.06810,              193.26360,  36.80620,       193.25687,       36.80087,    344.08770,      -1.06810,     344.09244,       -1.07415,  4144716.60,  -419134.56,  4955579.87,      50.134555,       -2.828628,  108325.89,  177938.83,       0.00,             2999.87,   147.00,      0.00,           67201.45,     -5.20,     22.95,          27.28,  +1.49,  +0.24
  1,     UK0038,       0,  0.083235, 2459436.606267921161, 343.54408,  -1.49972,              193.85419,  36.29965,       193.86488,       36.30808,    343.54408,      -1.49972,     343.53716,       -1.49010,  4143268.49,  -420492.51,  4954313.94,      50.136229,       -2.849389,  106518.40,  176957.39,    2354.49,             5354.36,  -178.05,  58516.94,           67201.45,      8.22,    -36.30,          43.39,  +0.61,  -0.63
  2,     UK0038,       0,  0.123515, 2459436.606268387288, 342.83724,  -2.02546,              194.61714,  35.67162,       194.62506,       35.67781,    342.83724,      -2.02546,     342.83238,       -2.01832,  4141451.34,  -422196.52,  4952725.39,      50.138326,       -2.875415,  104250.76,  175762.37,    5309.00,             8308.87,    94.00,  73349.48,           67201.45,      6.05,    -26.72,          32.15,  +0.29,  -0.93
  3,     UK0038,       0,  0.163779, 2459436.606268853415, 342.17991,  -2.52127,              195.31397,  35.07630,       195.32479,       35.08471,    342.17991,      -2.52127,     342.17325,       -2.51153,  4139775.39,  -423768.13,  4951260.27,      50.140256,       -2.899451,  102159.79,  174697.67,    8033.96,            11033.83,   137.55,  67677.19,           67201.45,      8.22,    -36.29,          43.93,  +0.26,  -0.95
  4,     UK0038,       0,  0.204031, 2459436.606269319076, 341.57568,  -2.98327,              195.94370,  34.51926,       195.96221,       34.53355,    341.57568,      -2.98327,     341.56395,       -2.96657,  4138245.72,  -425202.57,  4949923.03,      50.142014,       -2.921418,  100251.72,  173757.93,   10521.06,            13520.93,   -55.95,  61788.32,           66371.59,     13.99,    -61.81,          75.23,  +0.81,  -0.39
  0,     UK003E,       1,  0.047644, 2459436.606267508119, 330.79496,   0.71675,              210.49094,  35.32556,       208.65691,       34.12997,    330.79496,      +0.71675,     331.86057,       -0.88517,  4144412.50,  -419419.73,  4955314.03,      50.134906,       -2.832971,  107946.30,  188808.07,       0.00,             3494.31,   332.05,      0.00,           63463.55,  -2160.50,   5958.95,        6925.87,  +1.10,  -0.28
  1,     UK003E,       1,  0.088204, 2459436.606267977506, 330.21745,   0.33295,              211.00972,  34.77744,       209.17569,       33.58713,    330.21745,      +0.33295,     331.28600,       -1.27255,  4142967.71,  -420774.56,  4954051.00,      50.136576,       -2.853688,  106143.02,  188211.04,    2349.09,             5843.40,   -19.97,  57916.47,           63463.55,  -2158.68,   5953.97,        6942.03,  +0.48,  -0.89
  2,     UK003E,       1,  0.128852, 2459436.606268448289, 329.52780,  -0.09678,              211.63165,  34.14709,       209.77497,       32.94819,    329.52780,      -0.09678,     330.61273,       -1.72651,  4141285.27,  -422352.26,  4952580.21,      50.138517,       -2.877802,  104043.54,  187549.93,    5084.59,             8578.90,     8.55,  67297.26,           63463.55,  -2185.41,   6021.86,        7046.77,  +0.23,  -1.14
  3,     UK003E,       1,  0.169488, 2459436.606268918607, 328.88948,  -0.53906,              212.18125,  33.51889,       210.33963,       32.33509,    328.88948,      -0.53906,     329.96905,       -2.15999,  4139688.63,  -423849.49,  4951184.42,      50.140356,       -2.900710,  102051.55,  186957.83,    7680.59,            11174.90,  -101.62,  63884.22,           63463.55,  -2165.66,   5971.11,        7008.99,  +0.45,  -0.91

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.