Orbital Analysis for matched events on 20211103_025629.702_UK

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Summary for Event
-----------------
shower ID 337 NUE
Lg 109.91° Bg -1.32° Vg 71.36km/s
mass 0.00481g, abs. mag 0.9
best visual mag 1.4
Path Details
------------
start 0.29° 50.73° 114.34km
end   0.20° 50.79° 101.16km

Orbit Details
-------------
Semimajor axis -4.04A.U., eccentricity 1.17, inclination 177.44°, Period nanY, LA Sun 220.61°, 

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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: 2459521.622565995436
Time: 2021-11-03 02:56:29.702006 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002B
 Convergence angle = 86.31661 deg
 R.A. = 112.33374  Dec = +21.07096 deg
Intersection 2 - Stations: UK000F and UK002C
 Convergence angle = 55.66550 deg
 R.A. = 112.92365  Dec = +19.62354 deg
Intersection 3 - Stations: UK000F and UK0045
 Convergence angle = 47.81941 deg
 R.A. = 112.57377  Dec = +20.48553 deg
Intersection 4 - Stations: UK002B and UK002C
 Convergence angle = 38.04591 deg
 R.A. = 110.32388  Dec = +20.19158 deg
Intersection 5 - Stations: UK002B and UK0045
 Convergence angle = 45.86751 deg
 R.A. = 111.70465  Dec = +20.79931 deg
Intersection 6 - Stations: UK002C and UK0045
 Convergence angle = 7.87931 deg
 R.A. = 118.03953  Dec = +18.38466 deg

Best intersection: Stations UK000F and UK002B with Qconv = 86.32 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    214561.71 +/- 142.34 m
 Y =   4112439.33 +/- 396.88 m
 Z =   5003400.25 +/- 179.16 m
 Vx =   -24798.81 +/- 267.53 m/s
 Vy =    62785.45 +/- 684.94 m/s
 Vz =    25651.08 +/- 423.30 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000F: -0.002913 s
    UK002B: -0.004056 s
    UK002C: -0.004014 s
    UK0045: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:56:29.702006 UTC
  Lon     = ++0.296174 +/- 0.0022 deg
  Lat     = +50.729391 +/- 0.0017 deg
  Lat geo = +50.544020 +/- 0.0017 deg
  Ht      =  114731.67 +/- 382.46 m

  JD dynamic   = 2459521.623366736341 
  LST apparent = 87.0133676947 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 111.55288 +/- 0.4200 deg
  Dec       = +20.80604 +/- 0.2021 deg
  Azimuth   = 138.15113 +/- 0.6843 deg
  Elevation = +54.41447 +/- 0.1893 deg
  Vavg      =  65.82996 +/- 0.1051 km/s
  Vinit     =  72.21476 +/- 0.5208 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 111.78430 +/- 0.4200 deg
  Dec       = +20.77079 +/- 0.2021 deg
  Azimuth   = 137.84759 +/- 0.6843 deg
  Elevation = +54.28503 +/- 0.1893 deg
  Vavg      =  65.94707 +/- 0.1051 km/s
  Vinit     =  72.33187 +/- 0.5208 km/s
Radiant (geocentric, J2000):
  R.A.   = 111.33673 +/- 0.4213 deg
  Dec    = +20.65594 +/- 0.2027 deg
  Vg     =  71.35792 +/- 0.5271 km/s
  Vinf   =  72.21476 +/- 0.5208 km/s
  Zc     =  35.44763 +/- 0.1898 deg
  Zg     =  35.66620 +/- 0.1893 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 109.91032 +/- 0.3778 deg
  Bg     =  -1.31916 +/- 0.2323 deg
  Vh     =  44.80850 +/- 0.4872 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  95.66027 +/- 0.6590 deg
  Bh     =  -2.10089 +/- 0.3671 deg
  Vh_x   =   4.41648 +/- 0.5236 km/s
  Vh_y   = -44.56005 +/- 0.4692 km/s
  Vh_z   =   1.64264 +/- 0.2891 km/s
Orbit:
  La Sun = 220.609059 +/- 0.0000 deg
  a      =  -4.042565 +/- 1.5663 AU
  e      =   1.170667 +/- 0.0353
  i      = 177.438054 +/- 0.4589 deg
  peri   =  64.179124 +/- 1.8296 deg
  node   =  40.589898 +/- 0.0037 deg
  Pi     = 104.769022 +/- 1.8300 deg
  q      =   0.689931 +/- 0.0122 AU
  f      = 295.800067 +/- 1.8292 deg
  M      =        nan +/- nan deg
  Q      =  -8.775062 +/- 3.1290 AU
  n      =   0.121260 +/- 0.0325 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -2.359172 +/- 0.2682
Shower association:
  IAU No.  =  337
  IAU code =  NUE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

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: UK0045
  Avg. res. = 2.776e-06 s
  Stddev    = 1.67e-03 s

Begin point on the trajectory:
  Lon =     0.293571 +/- 0.0012 deg
  Lat =    50.731235 +/- 0.0017 deg
  Ht  = 114339.96 +/- 327.77 m
End point on the trajectory:
  Lon =     0.204738 +/- 0.0013 deg
  Lat =    50.793422 +/- 0.0002 deg
  Ht  = 101155.13 +/- 81.70 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   111578.96,   102242.46,          0.026692,     87.19,     23.02,              19.91, 0.1160,    True,    True, {"ff_name": "FF_UK000F_20211103_025622_830_0877824.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   112350.05,   101726.20,          0.010169,      6.41,     27.38,              28.45, 0.2269,    True,    True, {"ff_name": "FF_UK002B_20211103_025623_069_0875264.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.327950,  30.635166,   109496.20,   101155.13,          0.016306,     43.57,     32.91,              23.70, 0.1616,    True,    True, {"ff_name": "FF_UK002C_20211103_025620_722_0872960.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   0.000000,   0.000000,   114339.96,   102005.08,          0.024219,     44.87,     26.76,               9.55, 0.0275,    True,   False, {"ff_name": "FF_UK0045_20211103_025619_941_0883712.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,     UK000F,       0,  0.069897, 2459521.622566283680, 119.46930,   2.01175,              138.36997,  32.59453,       138.35356,       32.59394,    119.46930,      +2.01175,     119.48226,       +2.01688,   215893.13,  4109068.45,  5002023.07,      50.744237,       +0.275110,  111578.96,  202805.37,       0.00,             3877.13,    -3.70,      0.00,           73165.20,     12.41,    -47.36,          49.79,  +4.75,  +3.21
  1,     UK000F,       0,  0.110133, 2459521.622566749342, 119.56623,   1.75657,              138.38932,  32.32207,       138.37044,       32.32138,    119.56623,      +1.75657,     119.58134,       +1.76249,   216840.21,  4106670.64,  5001043.44,      50.754803,       +0.260012,  109336.79,  200214.82,    2757.92,             6635.05,  -151.41,  68543.68,           73165.20,     14.16,    -53.98,          57.50,  +3.34,  +1.83
  2,     UK000F,       0,  0.150421, 2459521.622567215469, 119.70376,   1.45281,              138.38834,  31.98865,       138.39029,       31.98872,    119.70376,      +1.45281,     119.70266,       +1.45220,   217963.12,  4103827.67,  4999881.94,      50.767339,       +0.242120,  106678.86,  197150.59,    6027.86,             9904.98,   209.14,  81163.98,           73165.20,     -1.44,      5.52,           5.97,  +2.60,  +1.13
  3,     UK000F,       0,  0.190665, 2459521.622567681130, 119.78476,   1.18066,              138.43270,  31.70722,       138.40760,       31.70630,    119.78476,      +1.18066,     119.80523,       +1.18857,   218890.54,  4101479.65,  4998922.65,      50.777698,       +0.227296,  104484.07,  194623.86,    8728.51,            12605.64,     3.58,  67107.04,           73165.20,     18.46,    -70.22,          76.95,  +2.69,  +1.24
  4,     UK000F,       0,  0.230925, 2459521.622568147257, 119.86413,   0.89312,              138.48589,  31.41239,       138.42556,       31.41011,    119.86413,      +0.89312,     119.91282,       +0.91212,   219837.89,  4099081.13,  4997942.74,      50.788285,       +0.212139,  102242.46,  192047.94,   11487.25,            15364.37,  -145.05,  68522.90,           71897.85,     44.18,   -167.01,         185.55,  +2.18,  +0.76
  0,     UK002B,       0,  0.044911, 2459521.622566163074, 142.69130,  30.16590,               93.47033,  43.17883,        93.46582,       43.18340,    142.69130,     +30.16590,     142.69010,      +30.17143,   215567.47,  4109892.98,  5002359.93,      50.740604,       +0.280283,  112350.05,  162560.57,       0.00,             2928.77,   852.28,      0.00,           66906.80,    -15.55,     -3.65,          20.26,  +4.23,  +3.17
  1,     UK002B,       0,  0.085155, 2459521.622566628736, 143.09036,  30.25839,               93.05515,  42.99032,        93.06879,       42.97657,    143.09036,     +30.25839,     143.09433,      +30.24171,   216268.19,  4108118.88,  5001635.12,      50.748421,       +0.269075,  110690.98,  160779.28,    2040.53,             4969.31,   -13.40,  50703.97,           66906.80,     46.43,     10.86,          61.17,  +3.25,  +2.22
  2,     UK002B,       0,  0.125575, 2459521.622567096725, 143.75107,  30.35185,               92.43138,  42.63713,        92.43142,       42.63710,    143.75107,     +30.35185,     143.75147,      +30.35180,   217370.76,  4105327.41,  5000494.66,      50.760725,       +0.251515,  108080.92,  157994.40,    5251.23,             8180.01,   278.39,  79433.52,           66906.80,      0.13,      0.03,           0.17,  +2.12,  +1.13
  3,     UK002B,       0,  0.165919, 2459521.622567563783, 144.31358,  30.46125,               91.87452,  42.35650,        91.88852,       42.34264,    144.31358,     +30.46125,     144.31775,      +30.44423,   218289.58,  4103001.14,  4999544.26,      50.770985,       +0.236837,  105906.23,  155684.84,    7926.87,            10855.65,    40.59,  66320.57,           66906.80,     45.77,     10.70,          62.27,  +1.75,  +0.79
  4,     UK002B,       0,  0.206287, 2459521.622568030842, 144.88922,  30.53414,               91.34694,  42.04253,        91.34624,       42.04322,    144.88922,     +30.53414,     144.88978,      +30.53499,   219189.34,  4100723.14,  4998613.58,      50.781036,       +0.222444,  103777.00,  153434.70,   10546.99,            13475.76,  -254.46,  64905.73,           66865.31,     -2.26,     -0.53,           3.12,  +1.42,  +0.49
  5,     UK002B,       0,  0.246639, 2459521.622568497900, 145.45688,  30.62275,               90.81353,  41.74414,        90.81368,       41.74400,    145.45688,     +30.62275,     145.45782,      +30.62257,   220056.09,  4098528.70,  4997717.04,      50.790724,       +0.208558,  101726.20,  151278.19,   13071.00,            15999.77,  -644.46,  62549.91,           66236.96,      0.46,      0.11,           0.65,  +2.49,  +1.59
  0,     UK002C,       0,  0.099444, 2459521.622566627804, 136.28842,  12.72514,              113.91886,  33.52635,       113.88923,       33.54178,    136.28842,     +12.72514,     136.29992,      +12.75210,   216772.88,  4106841.13,  5001113.09,      50.754052,       +0.261118,  109496.20,  194274.35,       0.00,             6438.96,   424.36,      0.00,           67325.15,    -59.46,    -78.82,         104.82,  +3.68,  +2.24
  1,     UK002C,       0,  0.139648, 2459521.622567093000, 136.55140,  12.64225,              113.72785,  33.30892,       113.71886,       33.31360,    136.55140,     +12.64225,     136.55522,      +12.65044,   217513.04,  4104967.19,  5000347.49,      50.762314,       +0.249271,  107744.14,  192313.88,    2155.37,             8594.33,  -323.59,  53610.81,           67325.15,    -17.90,    -23.69,          31.85,  +2.43,  +1.01
  2,     UK002C,       0,  0.179988, 2459521.622567560058, 136.96880,  12.47534,              113.45066,  32.93482,       113.44159,       32.93953,    136.96880,     +12.47534,     136.97284,      +12.48362,   218689.73,  4101988.05,  4999130.36,      50.775454,       +0.230514,  104959.27,  189211.42,    5581.93,            12020.88,   189.82,  84941.92,           67325.15,    -17.82,    -23.58,          32.22,  +1.99,  +0.61
  3,     UK002C,       0,  0.220220, 2459521.622568025719, 137.26525,  12.37871,              113.23934,  32.68661,       113.25129,       32.68039,    137.26525,     +12.37871,     137.26139,      +12.36777,   219483.66,  4099977.98,  4998309.14,      50.784325,       +0.217789,  103080.58,  187121.69,    7893.88,            14332.84,  -403.57,  57465.52,           67325.15,     23.32,     30.80,          42.58,  +1.84,  +0.48
  4,     UK002C,       0,  0.260468, 2459521.622568491381, 137.56807,  12.25848,              113.03925,  32.41544,       113.05290,       32.40834,    137.56807,     +12.25848,     137.56370,      +12.24596,   220297.47,  4097917.58,  4997467.37,      50.793422,       +0.204738,  101155.13,  184985.48,   10263.71,            16702.67,  -940.24,  58880.68,           65239.61,     26.38,     34.84,          48.73,  +4.97,  +3.63
  0,     UK0045,       0,  0.000000, 2459521.622565995436, 102.35049,  23.76634,              150.16236,  59.95284,       150.14249,       59.96590,    102.35049,     +23.76634,     102.35585,      +23.78201,   214727.12,  4112020.56,  5003229.16,      50.731235,       +0.293571,  114339.96,  131557.92,       0.00,              481.66,  1648.42,      0.00,           57186.68,    -19.46,    -32.29,          59.11,  +4.99,  +4.39
  1,     UK0045,       0,  0.039888, 2459521.622566456906, 102.22133,  23.85161,              150.32680,  60.07317,       150.36388,       60.04898,    102.22133,     +23.85161,     102.21142,      +23.82258,   215388.60,  4110345.83,  5002544.95,      50.738610,       +0.282994,  112773.58,  129652.93,    1926.24,             2407.91,   694.16,  48291.27,           57186.68,     35.28,     59.21,         109.66,  +4.79,  +4.23
  2,     UK0045,       0,  0.079772, 2459521.622566918842, 102.03276,  23.89050,              150.62630,  60.16796,       150.64696,       60.15436,    102.03276,     +23.89050,     102.02750,      +23.87423,   216208.84,  4108269.16,  5001696.52,      50.747758,       +0.269906,  110831.50,  127292.47,    4314.80,             4796.46,   202.50,  59887.63,           57186.68,     19.44,     32.51,          61.39,  +2.80,  +2.28
  3,     UK0045,       0,  0.119640, 2459521.622567380313, 101.83474,  23.95001,              150.92975,  60.28457,       150.95520,       60.26772,    101.83474,     +23.95001,     101.82836,      +23.92992,   217064.31,  4106103.28,  5000811.65,      50.757304,       +0.256249,  108806.31,  124832.07,    6805.95,             7287.61,  -185.41,  62484.94,           57186.68,     23.53,     39.38,          75.80,  +2.01,  +1.53
  4,     UK0045,       0,  0.159480, 2459521.622567841318, 101.57304,  24.01085,              151.34524,  60.42109,       151.35666,       60.41344,    101.57304,     +24.01085,     101.57064,      +24.00178,   218128.22,  4103409.67,  4999711.17,      50.769183,       +0.239286,  106288.11,  121774.85,    9904.10,            10385.76,    35.71,  77764.73,           61917.87,     10.38,     17.32,          34.20,  +2.01,  +1.58
  5,     UK0045,       0,  0.199304, 2459521.622568302322, 101.34304,  24.11153,              151.68146,  60.58491,       151.73569,       60.54860,    101.34304,     +24.11153,     101.32920,      +24.06852,   219075.20,  4101012.12,  4998731.64,      50.779761,       +0.224151,  104047.09,  119055.31,   12661.72,            13143.39,   -82.55,  69245.36,           64315.94,     47.85,     80.45,         162.17,  +1.66,  +1.28
  6,     UK0045,       0,  0.239172, 2459521.622568763793, 101.09995,  24.13884,              152.09158,  60.68247,       152.10040,       60.67647,    101.09995,     +24.13884,     101.09858,      +24.13176,   219938.22,  4098827.13,  4997838.96,      50.789406,       +0.210328,  102005.08,  116578.38,   15174.86,            15656.52,  -448.47,  63036.38,           65035.91,      7.75,     12.91,          26.64,  +1.97,  +1.64

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.