Orbital Analysis for matched events on 20210929_030121.565_UK

Summary for Event
-----------------
shower ID 810 XCD
Lg 32.72° Bg -6.56° Vg 38.14km/s
mass 0.01509g, abs. mag 0.8
Path Details
------------
start -2.98° 51.65° 96.73km
end   -2.93° 51.73° 88.17km

Orbit Details
-------------
Semimajor axis 2.13A.U., eccentricity 0.95, inclination 19.02°, Period 3.11Y, LA Sun 185.90°, last Perihelion 2018-09-23

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: 2459486.625944050029
Time: 2021-09-29 03:01:21.565922 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001Z and UK003Z
 Convergence angle = 35.70667 deg
 R.A. =  33.73108  Dec =  +7.24485 deg

Best intersection: Stations UK001Z and UK003Z with Qconv = 35.71 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2562473.29 +/- 23.33 m
 Y =   3104406.50 +/- 19.22 m
 Z =   5054849.53 +/- 40.79 m
 Vx =    32925.86 +/- 106.08 m/s
 Vy =    21642.59 +/- 140.36 m/s
 Vz =     5056.47 +/- 190.12 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.878510e+02, +2.696149e+01, +1.763645e+02, +1.500447e+03, -1.398206e+03, +1.707495e+03
+2.696149e+01, +3.917762e+02, -5.714479e+02, -1.327641e+03, +9.542100e+02, -2.554055e+03
+1.763645e+02, -5.714479e+02, +1.750191e+03, +2.278447e+03, -1.089271e+03, +7.450568e+03
+1.500447e+03, -1.327641e+03, +2.278447e+03, +9.520465e+03, -8.052014e+03, +1.381655e+04
-1.398206e+03, +9.542100e+02, -1.089271e+03, -8.052014e+03, +7.426352e+03, -8.481169e+03
+1.707495e+03, -2.554055e+03, +7.450568e+03, +1.381655e+04, -8.481169e+03, +3.769451e+04

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK000S: 0.000000 s
    UK001Z: 0.000000 s
    UK003Z: -0.000177 s

Reference point on the trajectory:
  Time: 2021-09-29 03:01:21.565922 UTC
  Lon     = +-2.976523 +/- 0.0003 deg
  Lat     = +51.652940 +/- 0.0003 deg
  Lat geo = +51.468344 +/- 0.0003 deg
  Ht      =   96742.67 +/- 29.85 m

  JD dynamic   = 2459486.626744790934 
  LST apparent = 50.4626789796 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  33.31743 +/- 0.1758 deg
  Dec       =  +7.31282 +/- 0.2654 deg
  Azimuth   = 203.75559 +/- 0.2941 deg
  Elevation = +43.46067 +/- 0.2336 deg
  Vavg      =  39.33546 +/- 0.0311 km/s
  Vinit     =  39.72508 +/- 0.0583 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  33.72620 +/- 0.1758 deg
  Dec       =  +7.32856 +/- 0.2654 deg
  Azimuth   = 203.21955 +/- 0.2941 deg
  Elevation = +43.57699 +/- 0.2336 deg
  Vavg      =  39.25062 +/- 0.0311 km/s
  Vinit     =  39.64025 +/- 0.0583 km/s
Radiant (geocentric, J2000):
  R.A.   =  32.77667 +/- 0.1778 deg
  Dec    =  +6.24522 +/- 0.2743 deg
  Vg     =  38.14072 +/- 0.0607 km/s
  Vinf   =  39.72508 +/- 0.0583 km/s
  Zc     =  46.37042 +/- 0.2334 deg
  Zg     =  47.36902 +/- 0.2419 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  32.72176 +/- 0.1344 deg
  Bg     =  -6.55995 +/- 0.2979 deg
  Vh     =  36.80704 +/- 0.0814 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 345.68205 +/- 0.1154 deg
  Bh     =  -6.79519 +/- 0.3068 deg
  Vh_x   = -35.41323 +/- 0.0963 km/s
  Vh_y   =   9.03854 +/- 0.0756 km/s
  Vh_z   =   4.35503 +/- 0.1887 km/s
Orbit:
  La Sun = 185.899812 +/- -0.0000 deg
  a      =   2.131086 +/- 0.0295 AU
  e      =   0.951432 +/- 0.0011
  i      =  19.024257 +/- 0.7288 deg
  peri   = 147.051870 +/- 0.3054 deg
  node   =   5.899469 +/- 0.0001 deg
  Pi     = 152.951339 +/- 0.3054 deg
  q      =   0.103503 +/- 0.0018 AU
  f      = 212.950333 +/- 0.3054 deg
  M      = 349.120816 +/- 0.2538 deg
  Q      =   4.158669 +/- 0.0589 AU
  n      =   0.316813 +/- 0.0069 deg/day
  T      =   3.111015 +/- 0.0640 years
  Last perihelion JD = 2458384.648103 (2018-09-23 03:33:16.127535) +/- 23.4397 days
  Tj     =   2.814559 +/- 0.0337
Shower association:
  IAU No.  =  810
  IAU code =  XCD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.223548e-06, -1.509562e-06, -1.648471e-02, -1.495332e-09, +3.432418e-06, -1.439033e-05
q   , -1.509562e-06, +3.328947e-06, -2.741116e-03, +1.690772e-09, -9.716395e-06, +1.629462e-05
Tp  , -1.648471e-02, -2.741116e-03, +5.855704e+02, +2.261305e-05, +4.002327e-02, +2.169738e-01
node, -1.495332e-09, +1.690772e-09, +2.261305e-05, +1.858742e-12, -3.618785e-09, +1.782335e-08
peri, +3.432418e-06, -9.716395e-06, +4.002327e-02, -3.618785e-09, +3.011886e-05, -3.491371e-05
i   , -1.439033e-05, +1.629462e-05, +2.169738e-01, +1.782335e-08, -3.491371e-05, +1.712470e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.254038
 a2 = 22.046882

Mean time residuals from time vs. length:
  Station with reference time: UK001Z
  Avg. res. = 8.969e-06 s
  Stddev    = 2.99e-03 s

Begin point on the trajectory:
  Lon =    -2.976455 +/- 0.0003 deg
  Lat =    51.653036 +/- 0.0003 deg
  Ht  = 96731.45 +/- 28.84 m
End point on the trajectory:
  Lon =    -2.925799 +/- 0.0003 deg
  Lat =    51.726348 +/- 0.0002 deg
  Ht  = 88173.63 +/- 21.32 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
    UK0006,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    97051.42,    89405.30,          0.042453,       nan,       nan,              39.94, 0.0000,    True,    True, {"ff_name": "FF_UK0006_20210929_030118_252_0777216.fits"}
    UK000S,    True,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    93158.63,    90068.59,          0.041624,       nan,       nan,              78.20, 0.0000,    True,    True, {"ff_name": "FF_UK000S_20210929_030122_783_0769024.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,  36.493406,   0.000000,    96731.45,    88974.45,          0.013490,     30.17,      4.96,              85.93, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210929_030118_908_0768256.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,   0.830339,  17.910919,    95705.58,    88173.63,          0.007057,     18.57,      0.21,              72.41, 1.0000,    True,    True, {"ff_name": "FF_UK003Z_20210929_030120_301_0776704.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,     UK0006,       1, -0.011151, 2459486.625943921041, 355.99119,  23.00703,              258.01880,  38.61223,       258.01062,       38.59745,    355.99119,     +23.00703,     355.98585,      +22.99169,  2562845.33,  3104651.05,  5054906.66,      51.650300,       -2.978344,   97051.42,  153664.80,       0.00,              448.86,   676.31,     -0.00,           40911.02,      5.75,    -42.79,          57.96,  +4.72,  +3.79
  1,     UK0006,       1,  0.028961, 2459486.625944385305, 355.53067,  23.05766,              258.46964,  38.37211,       258.50103,       38.42801,    355.53067,     +23.05766,     355.55060,      +23.11595,  2561387.81,  3103693.00,  5054682.83,      51.660644,       -2.971192,   95841.89,  152313.57,    1758.50,             1309.64,   -56.36,  43839.71,           40911.02,    -21.70,    160.90,         219.87,  +2.64,  +1.73
  2,     UK0006,       1,  0.068977, 2459486.625944848172, 355.16592,  23.18969,              258.90226,  38.25075,       258.91933,       38.28087,    355.16592,     +23.18969,     355.17684,      +23.22119,  2560159.86,  3102885.86,  5054494.25,      51.669361,       -2.965187,   94823.04,  151182.96,    3240.02,             2791.16,  -164.48,  37023.12,           40911.02,    -11.61,     86.23,         118.71,  +2.88,  +1.98
  3,     UK0006,       1,  0.109013, 2459486.625945311971, 354.72529,  23.32181,              259.40004,  38.08289,       259.41273,       38.10502,    354.72529,     +23.32181,     354.73351,      +23.34501,  2558727.77,  3101944.52,  5054274.33,      51.679531,       -2.958151,   93635.03,  149870.56,    4967.83,             4518.97,   -27.10,  43156.58,           40911.02,     -8.47,     62.92,          87.38,  +2.01,  +1.13
  4,     UK0006,       1,  0.149097, 2459486.625945775770, 354.26505,  23.40601,              259.87268,  37.86659,       259.90712,       37.92586,    354.26505,     +23.40601,     354.28627,      +23.46841,  2557310.66,  3101013.04,  5054056.70,      51.689597,       -2.951185,   92459.67,  148580.25,    6677.58,             6228.72,    90.31,  42654.14,           41354.85,    -22.61,    167.55,         234.70,  +1.85,  +0.99
  5,     UK0006,       1,  0.189109, 2459486.625946238637, 353.86905,  23.55213,              260.33941,  37.73518,       260.35451,       37.76093,    353.86905,     +23.55213,     353.87876,      +23.57931,  2556043.50,  3100180.12,  5053862.10,      51.698601,       -2.944968,   91408.86,  147434.56,    8206.41,             7757.55,    29.66,  38209.16,           41032.73,     -9.75,     72.38,         102.18,  +1.81,  +0.97
  6,     UK0006,       1,  0.229141, 2459486.625946701970, 353.45324,  23.67433,              260.80158,  37.57329,       260.81147,       37.58998,    353.45324,     +23.67433,     353.45994,      +23.69200,  2554763.43,  3099338.71,  5053665.52,      51.707699,       -2.938682,   90347.52,  146284.13,    9750.82,             9301.96,   -16.21,  38579.43,           40654.93,     -6.28,     46.66,          66.39,  +1.71,  +0.88
  7,     UK0006,       1,  0.269217, 2459486.625947165769, 353.06266,  23.73683,              261.19024,  37.38180,       261.22156,       37.43412,    353.06266,     +23.73683,     353.08162,      +23.79241,  2553626.86,  3098591.63,  5053490.97,      51.715780,       -2.933115,   89405.30,  145269.74,   11122.09,            10673.24,  -236.95,  34216.91,           39960.54,    -19.64,    145.56,         208.55,  +2.53,  +1.72
  0,     UK000S,       1,  0.124410, 2459486.625945489854, 311.49929,  57.27370,              318.66689,  36.31723,       318.66938,       36.31907,    311.49929,     +57.27370,     311.50006,      +57.27642,  2558153.42,  3101566.99,  5054186.12,      51.683610,       -2.955325,   93158.63,  155214.21,       0.00,             5211.94,    54.18,      0.00,           37183.03,      0.09,      7.37,           9.79,  +2.89,  +1.94
  1,     UK000S,       1,  0.164962, 2459486.625945959240, 310.30594,  57.27109,              319.17635,  35.82057,       319.20274,       35.83993,    310.30594,     +57.27109,     310.30840,      +57.29992,  2556682.32,  3100600.02,  5053960.20,      51.694062,       -2.948086,   91938.60,  154904.81,    1774.88,             6986.81,   218.13,  43767.93,           37183.03,      0.89,     77.98,         103.85,  +1.65,  +0.70
  2,     UK000S,       1,  0.205446, 2459486.625946427695, 309.25532,  57.25599,              319.61660,  35.37912,       319.66672,       35.41574,    309.25532,     +57.25599,     309.25797,      +57.31085,  2555391.24,  3099751.38,  5053761.93,      51.703237,       -2.941749,   90868.04,  154650.21,    3332.57,             8544.50,   167.59,  38476.66,           37183.03,      1.67,    148.10,         197.54,  +1.64,  +0.69
  3,     UK000S,       1,  0.245806, 2459486.625946895219, 308.46979,  57.25690,              319.95936,  35.05958,       320.01001,       35.09648,    308.46979,     +57.25690,     308.47145,      +57.31239,  2554427.00,  3099117.57,  5053613.85,      51.710091,       -2.937055,   90068.59,  154471.55,    4495.93,             9707.87,  -272.36,  28824.62,           37183.03,      1.69,    149.61,         199.78,  +2.78,  +1.84
  0,     UK001Z,       0,  0.000000, 2459486.625944050029, 244.51180,  86.66806,              358.80243,  47.63835,       358.77200,       47.63172,    244.51180,     +86.66806,     244.82852,      +86.65690,  2562459.78,  3104397.62,  5054847.46,      51.653036,       -2.976455,   96731.45,  130012.57,       0.00,               16.30,  -199.23,      0.00,           40677.00,     -7.93,    -48.26,          77.58,  +3.72,  +3.15
  1,     UK001Z,       0,  0.040720, 2459486.625944521278, 238.51275,  85.92905,              359.16996,  46.84321,       359.13987,       46.83667,    238.51275,     +85.92905,     238.78797,      +85.91986,  2560886.45,  3103363.45,  5054605.84,      51.664203,       -2.968722,   95425.89,  129878.87,    1898.22,             1914.53,    81.38,  46616.44,           40677.00,     -7.94,    -48.31,          77.76,  +2.38,  +1.81
  2,     UK001Z,       0,  0.081252, 2459486.625944990665, 235.46604,  85.35872,              359.41837,  46.25211,       359.40268,       46.24870,    235.46604,     +85.35872,     235.59659,      +85.35445,  2559726.31,  3102600.87,  5054427.67,      51.672440,       -2.963058,   94463.36,  129797.92,    3297.94,             3314.24,  -129.04,  34533.61,           40677.00,     -4.18,    -25.42,          40.94,  +3.06,  +2.49
  3,     UK001Z,       0,  0.121916, 2459486.625945460983, 232.50569,  84.63535,              359.73104,  45.51579,       359.72458,       45.51438,    232.50569,     +84.63535,     232.55405,      +84.63381,  2558280.82,  3101650.73,  5054205.69,      51.682705,       -2.955956,   93264.30,  129718.00,    5041.93,             5058.23,    -0.43,  42887.75,           40677.00,     -1.74,    -10.58,          17.05,  +1.96,  +1.39
  4,     UK001Z,       0,  0.162580, 2459486.625945931766, 230.32671,  83.90121,                0.02436,  44.77868,         0.03720,       44.78147,    230.32671,     +83.90121,     230.24152,      +83.90397,  2556841.31,  3100704.53,  5053984.62,      51.692932,       -2.948877,   92070.44,  129661.58,    6778.69,             6794.99,   120.95,  42710.03,           41100.63,      3.49,     21.28,          34.30,  +1.43,  +0.87
  5,     UK001Z,       0,  0.203180, 2459486.625946401618, 228.47138,  83.23743,                0.33096,  44.11856,         0.31377,       44.11483,    228.47138,     +83.23743,     228.57788,      +83.23408,  2555534.28,  3099845.40,  5053783.90,      51.702220,       -2.942460,   90986.63,  129630.39,    8355.62,             8371.93,    85.05,  38840.83,           40899.06,     -4.72,    -28.77,          46.40,  +1.51,  +0.95
  6,     UK001Z,       0,  0.243748, 2459486.625946871005, 227.31423,  82.59805,                0.56352,  43.48535,         0.56820,       43.48637,    227.31423,     +82.59805,     227.28854,      +82.59890,  2554303.65,  3099036.49,  5053594.91,      51.710968,       -2.936424,   89966.35,  129618.45,    9840.38,             9856.68,   -41.77,  36599.09,           40367.14,      1.30,      7.91,          12.76,  +2.14,  +1.58
  7,     UK001Z,       0,  0.284296, 2459486.625947340392, 226.15880,  81.98052,                0.82370,  42.87761,         0.81038,       42.87473,    226.15880,     +81.98052,     226.23115,      +81.97827,  2553107.07,  3098249.96,  5053411.15,      51.719476,       -2.930555,   88974.45,  129623.06,   11284.06,            11300.36,  -208.86,  35604.27,           39749.34,     -3.73,    -22.73,          36.65,  +3.88,  +3.32
  0,     UK003Z,       0,  0.032578, 2459486.625944429077, 322.87192,  52.12569,              308.46861,  38.37269,       308.47196,       38.37559,    322.87192,     +52.12569,     322.87329,      +52.12954,  2561223.54,  3103585.03,  5054657.60,      51.661810,       -2.970382,   95705.58,  152293.00,       0.00,             1507.83,    -1.88,      0.00,           39275.14,     -0.12,     10.41,          14.10,  +4.10,  +3.19
  1,     UK003Z,       0,  0.072746, 2459486.625944893807, 321.86833,  52.25120,              309.06568,  37.95565,       309.05860,       37.94958,    321.86833,     +52.25120,     321.86622,      +52.24309,  2559775.24,  3102633.04,  5054435.19,      51.672092,       -2.963270,   94503.96,  151777.62,    1747.38,             3255.21,   149.82,  43501.78,           39275.14,      0.24,    -21.84,          29.68,  +3.76,  +2.85
  2,     UK003Z,       0,  0.112898, 2459486.625945358537, 321.06085,  52.32393,              309.51719,  37.60649,       309.51940,       37.60838,    321.06085,     +52.32393,     321.06204,      +52.32648,  2558630.69,  3101880.71,  5054259.42,      51.680220,       -2.957679,   93554.50,  151384.78,    3128.28,             4636.11,   -64.31,  34391.95,           39275.14,     -0.08,      6.82,           9.30,  +2.50,  +1.60
  3,     UK003Z,       0,  0.153082, 2459486.625945823733, 320.07587,  52.40731,              310.06272,  37.18124,       310.07484,       37.19152,    320.07587,     +52.40731,     320.08010,      +52.42124,  2557246.63,  3100970.95,  5054046.86,      51.690052,       -2.950880,   92406.57,  150923.67,    4798.15,             6305.97,     9.24,  41555.39,           39275.14,     -0.41,     37.14,          50.76,  +1.63,  +0.74
  4,     UK003Z,       0,  0.193234, 2459486.625946288463, 319.16022,  52.50016,              310.58511,  36.79930,       310.58666,       36.80060,    319.16022,     +52.50016,     319.16145,      +52.50194,  2555964.33,  3100128.08,  5053849.94,      51.699164,       -2.944587,   91343.21,  150512.17,    6345.24,             7853.07,   -38.71,  38530.95,           39191.74,     -0.05,      4.73,           6.48,  +1.82,  +0.93
  5,     UK003Z,       0,  0.233398, 2459486.625946753193, 318.18298,  52.58559,              311.12932,  36.38747,       311.12446,       36.38339,    318.18298,     +52.58559,     318.18276,      +52.57998,  2554610.66,  3099238.29,  5053642.06,      51.708785,       -2.937930,   90220.87,  150093.37,    7978.45,             9486.27,    -1.03,  40663.40,           39378.14,      0.16,    -14.81,          20.36,  +1.86,  +0.98
  6,     UK003Z,       0,  0.273554, 2459486.625947218388, 317.32132,  52.63727,              311.58670,  36.01303,       311.59011,       36.01588,    317.32132,     +52.63727,     317.32323,      +52.64121,  2553431.55,  3098463.25,  5053460.98,      51.717169,       -2.932149,   89243.41,  149742.97,    9401.04,            10908.87,  -173.63,  35426.77,           39021.44,     -0.12,     10.36,          14.28,  +4.45,  +3.57
  7,     UK003Z,       0,  0.313706, 2459486.625947683118, 316.37513,  52.70930,              312.10423,  35.61526,       312.09764,       35.60979,    316.37513,     +52.70930,     316.37513,      +52.70169,  2552140.85,  3097614.85,  5053262.76,      51.726348,       -2.925799,   88173.63,  149373.24,   10958.28,            12466.11,  -211.43,  38783.59,           38853.00,      0.22,    -19.96,          27.57,  +4.45,  +3.58

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.