Orbital Analysis for matched events on 20210929_041224.068_UK

Summary for Event
-----------------
shower ID 480 TCA
Lg 112.16° Bg 12.32° Vg 68.66km/s
mass 0.00924g, abs. mag 0.1
Path Details
------------
start -0.31° 51.29° 113.18km
end   -0.47° 51.30° 97.71km

Orbit Details
-------------
Semimajor axis 43.25A.U., eccentricity 0.98, inclination 157.10°, Period 284.41Y, LA Sun 185.95°, last Perihelion 2021-08-28

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: 2459486.675278576091
Time: 2021-09-29 04:12:24.073480 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002C
 Convergence angle = 45.56221 deg
 R.A. = 116.71651  Dec = +33.39419 deg
Intersection 2 - Stations: UK000F and UK002W
 Convergence angle = 65.87240 deg
 R.A. = 116.83183  Dec = +33.47836 deg
Intersection 3 - Stations: UK000F and UK0038
 Convergence angle = 67.74312 deg
 R.A. = 117.73862  Dec = +34.13084 deg
Intersection 4 - Stations: UK002C and UK002W
 Convergence angle = 20.31045 deg
 R.A. = 117.11787  Dec = +33.36801 deg
Intersection 5 - Stations: UK002C and UK0038
 Convergence angle = 22.20021 deg
 R.A. = 119.99831  Dec = +33.14167 deg
Intersection 6 - Stations: UK002W and UK0038
 Convergence angle = 2.08299 deg
 R.A. = 322.15956  Dec = -19.87722 deg

Best intersection: Stations UK000F and UK0038 with Qconv = 67.74 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1328265.33 +/- 379.65 m
 Y =   3845218.55 +/- 658.12 m
 Z =   5041937.66 +/- 492.11 m
 Vx =   -25714.24 +/- 127.25 m/s
 Vy =    51711.63 +/- 1177.33 m/s
 Vz =    38756.77 +/- 948.26 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK000F: 0.000302 s
    UK002C: -0.000651 s
    UK002W: -0.000226 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:12:24.073480 UTC
  Lon     = +-0.304879 +/- 0.0080 deg
  Lat     = +51.285776 +/- 0.0009 deg
  Lat geo = +51.101118 +/- 0.0009 deg
  Ht      =  113307.65 +/- 694.38 m

  JD dynamic   = 2459486.676079369150 
  LST apparent = 70.9433989840 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 116.43942 +/- 0.3788 deg
  Dec       = +33.86507 +/- 0.2272 deg
  Azimuth   = 100.11383 +/- 0.4370 deg
  Elevation = +53.01856 +/- 0.2791 deg
  Vavg      =  69.93578 +/- 1.5203 km/s
  Vinit     =  69.55144 +/- 1.2890 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 116.64497 +/- 0.3788 deg
  Dec       = +33.76802 +/- 0.2272 deg
  Azimuth   = 100.04298 +/- 0.4370 deg
  Elevation = +52.82684 +/- 0.2791 deg
  Vavg      =  70.11187 +/- 1.5203 km/s
  Vinit     =  69.72753 +/- 1.2890 km/s
Radiant (geocentric, J2000):
  R.A.   = 116.30934 +/- 0.3737 deg
  Dec    = +33.75436 +/- 0.2284 deg
  Vg     =  68.66114 +/- 1.3048 km/s
  Vinf   =  69.55144 +/- 1.2890 km/s
  Zc     =  36.94940 +/- 0.2795 deg
  Zg     =  37.19601 +/- 0.2748 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 112.15955 +/- 0.3163 deg
  Bg     = +12.31842 +/- 0.2318 deg
  Vh     =  41.83974 +/- 1.3413 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 123.69412 +/- 0.2652 deg
  Bh     = +20.49730 +/- 0.4037 deg
  Vh_x   =  21.74145 +/- 0.8182 km/s
  Vh_y   = -32.60719 +/- 1.0359 km/s
  Vh_z   = -14.65074 +/- 0.4315 km/s
Orbit:
  La Sun = 185.948258 +/- 0.0000 deg
  a      =  43.248086 +/- 23.9113 AU
  e      =   0.981282 +/- 0.1092
  i      = 157.101033 +/- 0.4326 deg
  peri   = 127.764406 +/- 2.1296 deg
  node   = 185.948896 +/- 0.0000 deg
  Pi     = 313.713302 +/- 2.1296 deg
  q      =   0.809500 +/- 0.0071 AU
  f      =  52.234065 +/- 2.1296 deg
  M      =   0.110220 +/- nan deg
  Q      =  85.686671 +/- 47.8193 AU
  n      =   0.003465 +/- 0.0801 deg/day
  T      = 284.414000 +/- 249443754.8396 years
  Last perihelion JD = 2459454.870262 (2021-08-28 08:53:10.660478) +/- 0.0000 days
  Tj     =  -0.902445 +/- 0.7236
Shower association:
  IAU No.  =  480
  IAU code =  TCA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 42.043830
 a2 = -0.000040

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 3.699e-06 s
  Stddev    = 1.92e-03 s

Begin point on the trajectory:
  Lon =    -0.306230 +/- 0.0064 deg
  Lat =    51.285928 +/- 0.0004 deg
  Ht  = 113178.26 +/- 513.09 m
End point on the trajectory:
  Lon =    -0.469424 +/- 0.0051 deg
  Lat =    51.303929 +/- 0.0004 deg
  Ht  = 97714.20 +/- 383.83 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,   110935.68,   100115.22,          0.027218,      6.91,     65.11,              21.41, 0.1333,    True,    True, {"ff_name": "FF_UK000F_20210929_041215_290_0883968.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,  87.559084,   0.000000,   113178.26,    97714.20,          0.027085,     47.63,     49.00,               5.87, 0.0105,    True,    True, {"ff_name": "FF_UK002C_20210929_041223_801_0880896.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,  37.796447,   0.000000,   111582.56,    99163.48,          0.017734,     47.69,     25.72,              14.24, 0.0605,    True,    True, {"ff_name": "FF_UK002W_20210929_041215_480_0878336.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   112413.68,    99740.60,          0.048518,    132.16,     75.91,              14.40, 0.0619,    True,    True, {"ff_name": "FF_UK0038_20210929_041217_333_0878336.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,  0.032458, 2459486.675278901588,  99.85024,  18.06272,              133.95034,  48.81904,       133.96514,       48.84294,     99.85024,     +18.06272,      99.82953,      +18.07929,  1329363.23,  3843010.66,  5040282.90,      51.288545,       -0.329756,  110935.68,  146285.94,       0.00,             2969.58,   201.34,      0.00,           66947.04,    -65.49,      7.15,          92.89,  +2.69,  +1.86
  1,     UK000F,       0,  0.072610, 2459486.675279366318,  99.56372,  17.77902,              134.51651,  48.69457,       134.51811,       48.69712,     99.56372,     +17.77902,      99.56176,      +17.78079,  1330344.52,  3841037.28,  5038803.89,      51.291017,       -0.352088,  108816.04,  143817.18,    2654.17,             5623.74,    62.87,  66102.97,           66947.04,     -6.88,      0.74,           9.93,  +1.58,  +0.79
  2,     UK000F,       0,  0.112754, 2459486.675279830582,  99.27081,  17.50383,              135.08304,  48.57846,       135.06470,       48.54968,     99.27081,     +17.50383,      99.29636,      +17.48378,  1331287.56,  3839140.80,  5037382.52,      51.293390,       -0.373573,  106779.36,  141450.99,    5204.91,             8174.48,  -178.46,  63539.74,           66947.04,     76.67,     -8.14,         112.43,  +1.33,  +0.58
  3,     UK000F,       0,  0.152966, 2459486.675280296244,  98.97092,  17.14255,              135.71533,  48.38655,       135.70572,       48.37179,     98.97092,     +17.14255,      98.98444,      +17.13226,  1332362.79,  3836978.51,  5035761.93,      51.296093,       -0.398064,  104457.64,  138762.16,    8113.16,            11082.73,   -67.01,  72322.98,           66947.04,     38.71,     -4.13,          57.87,  +1.04,  +0.33
  4,     UK000F,       0,  0.193170, 2459486.675280761439,  98.65342,  16.78062,              136.36711,  48.19899,       136.35833,       48.18576,     98.65342,     +16.78062,      98.66581,      +16.77137,  1333423.62,  3834845.16,  5034163.02,      51.298757,       -0.422250,  102167.44,  136118.37,   10982.49,            13952.07,     6.08,  71369.35,           68256.90,     34.17,     -3.65,          52.07,  +0.92,  +0.25
  5,     UK000F,       0,  0.233338, 2459486.675281226169,  98.33053,  16.46629,              136.99102,  48.05377,       136.96141,       48.00977,     98.33053,     +16.46629,      98.37017,      +16.43545,  1334374.40,  3832933.14,  5032730.01,      51.301142,       -0.443961,  100115.22,  133756.48,   13554.13,            16523.71,  -216.03,  64022.06,           68026.00,    112.03,    -11.77,         173.72,  +2.25,  +1.62
  0,     UK002C,       0,  0.001602, 2459486.675278628245, 124.18703,  32.71208,               93.48457,  46.50324,        93.44479,       46.51902,    124.18703,     +32.71208,     124.19497,      +32.74297,  1328325.22,  3845098.11,  5041847.40,      51.285928,       -0.306230,  113178.26,  154597.06,       0.00,              161.98,  -460.22,      0.00,           74648.84,    -60.92,    -59.65,         113.76,  +3.09,  +2.14
  1,     UK002C,       0,  0.041690, 2459486.675279092044, 124.34728,  32.70080,               93.36525,  46.39576,        93.34517,       46.40377,    124.34728,     +32.70080,     124.35145,      +32.71645,  1329495.58,  3842744.51,  5040083.42,      51.288879,       -0.332813,  110649.78,  151444.72,    3165.57,             3327.55,   -82.83,  78965.42,           74648.84,    -30.30,    -29.51,          57.61,  +2.50,  +1.60
  2,     UK002C,       0,  0.081778, 2459486.675279556308, 124.48338,  32.66446,               93.29277,  46.28649,        93.25637,       46.30094,    124.48338,     +32.66446,     124.49107,      +32.69281,  1330503.90,  3840716.75,  5038563.66,      51.291418,       -0.355759,  108471.79,  148728.37,    5892.87,             6054.85,  -143.71,  68032.93,           74648.84,    -53.86,    -52.63,         104.44,  +2.36,  +1.50
  3,     UK002C,       0,  0.121878, 2459486.675280020107, 124.65087,  32.62867,               93.19410,  46.15800,        93.14922,       46.17579,    124.65087,     +32.62867,     124.66054,      +32.66365,  1331677.38,  3838356.88,  5036794.99,      51.294371,       -0.382457,  105937.60,  145569.31,    9066.86,             9228.84,   241.27,  79151.90,           74648.84,    -65.03,    -63.64,         128.93,  +1.98,  +1.16
  4,     UK002C,       0,  0.161970, 2459486.675280484371, 124.81230,  32.60999,               93.08224,  46.04478,        93.04873,       46.05809,    124.81230,     +32.60999,     124.81982,      +32.63616,  1332738.46,  3836223.03,  5035195.71,      51.297037,       -0.406635,  103646.58,  142712.85,   11936.86,            12098.84,   322.82,  71585.41,           74266.03,    -47.77,    -46.60,          96.46,  +2.20,  +1.43
  5,     UK002C,       0,  0.202038, 2459486.675280948170, 124.95320,  32.61315,               92.96403,  45.95902,        92.96407,       45.95901,    124.95320,     +32.61315,     124.95403,      +32.61311,  1333604.84,  3834480.72,  5033889.89,      51.299212,       -0.426422,  101776.26,  140379.65,   14280.25,            14442.23,  -120.59,  58485.19,           71903.69,      0.06,      0.06,           0.13,  +1.93,  +1.19
  6,     UK002C,       0,  0.242138, 2459486.675281412434, 125.11748,  32.57566,               92.87021,  45.83136,        92.85961,       45.83559,    125.11748,     +32.57566,     125.12066,      +32.58398,  1334638.73,  3832401.57,  5032331.61,      51.301804,       -0.450020,   99544.75,  137597.72,   17076.67,            17238.65,  -113.17,  69736.27,           70827.48,    -14.68,    -14.23,          30.65,  +2.20,  +1.51
  7,     UK002C,       0,  0.282198, 2459486.675281875767, 125.27092,  32.59970,               92.72005,  45.75180,        92.77114,       45.73111,    125.27092,     +32.59970,     125.26182,      +32.55939,  1335486.98,  3830695.73,  5031053.12,      51.303929,       -0.469424,   97714.20,  135314.47,   19371.01,            19532.99,  -605.07,  57272.56,           69250.40,     70.36,     67.28,         148.39,  +3.38,  +2.72
  8,     UK002C,       1,  0.322346, 2459486.675282340497, 125.49530,  32.54091,               92.60042,  45.57229,        92.62913,       45.56074,    125.49530,     +32.54091,     125.49075,      +32.51827,  1336795.16,  3828064.96,  5029081.41,      51.307202,       -0.499285,   94891.72,  131798.89,   22909.36,            23071.34,   140.93,  88132.63,           69775.04,     38.45,     36.94,          83.45,  +5.53,  +4.93
  0,     UK002W,       0,  0.035441, 2459486.675279193092, 131.79099,  26.39999,               92.94320,  37.00806,        92.92314,       37.01171,    131.79099,     +26.39999,     131.80120,      +26.41375,  1329063.79,  3843612.84,  5040734.21,      51.287790,       -0.323101,  111582.56,  182559.55,       0.00,             2159.66,  -816.09,      0.00,           75873.32,    -24.77,    -46.10,          59.13,  +3.18,  +1.87
  1,     UK002W,       0,  0.075661, 2459486.675279658753, 132.03475,  26.25990,               92.86881,  36.75546,        92.85067,       36.75875,    132.03475,     +26.25990,     132.04421,      +26.27238,  1330220.36,  3841286.95,  5038991.01,      51.290705,       -0.349389,  109084.19,  179533.30,    3128.28,             5287.94,  -485.17,  77779.18,           75873.32,    -22.12,    -41.15,          53.67,  +1.85,  +0.58
  2,     UK002W,       0,  0.115897, 2459486.675280124415, 132.30127,  26.10938,               92.78481,  36.48103,        92.77232,       36.48330,    132.30127,     +26.10938,     132.30810,      +26.11799,  1331436.24,  3838841.81,  5037158.43,      51.293764,       -0.377041,  106458.29,  176356.46,    6416.97,             8576.63,     5.05,  81735.05,           75873.32,    -15.01,    -27.91,          37.07,  +1.54,  +0.31
  3,     UK002W,       0,  0.156093, 2459486.675280589610, 132.54531,  26.01430,               92.67078,  36.26040,        92.70738,       36.25367,    132.54531,     +26.01430,     132.52757,      +25.98898,  1332419.17,  3836865.13,  5035676.95,      51.296235,       -0.399446,  104335.92,  173789.72,    9075.57,            11235.23,  -132.04,  66140.83,           75873.32,     43.70,     80.73,         108.96,  +1.51,  +0.31
  4,     UK002W,       0,  0.196353, 2459486.675281055272, 132.79815,  25.81001,               92.64325,  35.95551,        92.62465,       35.95889,    132.79815,     +25.81001,     132.80848,      +25.82287,  1333637.30,  3834415.46,  5033840.98,      51.299293,       -0.427196,  101706.22,  170615.24,   12370.34,            14530.00,   362.59,  81837.47,           76290.04,    -21.75,    -40.45,          55.52,  +0.82,  -0.34
  5,     UK002W,       0,  0.236609, 2459486.675281521399, 133.08124,  25.64607,               92.55625,  35.66066,        92.54230,       35.66320,    133.08124,     +25.64607,     133.08941,      +25.65574,  1334815.41,  3832046.27,  5032065.32,      51.302247,       -0.454065,   99163.48,  167549.41,   15556.87,            17716.53,   749.26,  79156.62,           76818.89,    -16.09,    -29.91,          41.82,  +2.56,  +1.44
  6,     UK002W,       1,  0.276769, 2459486.675281986129, 133.25552,  25.54240,               92.50480,  35.47708,        92.49133,       35.47953,    133.25552,     +25.54240,     133.26364,      +25.55175,  1335529.67,  3830609.88,  5030988.77,      51.304036,       -0.470433,   97622.10,  165689.27,   17488.80,            19648.46,  -112.00,  48105.68,           73937.01,    -15.40,    -28.62,          40.46,  +5.29,  +4.19
  0,     UK0038,       0,  0.000000, 2459486.675278782845, 132.13152,  26.73705,               92.36405,  37.03486,        92.49051,       37.00939,    132.13152,     +26.73705,     132.07057,      +26.64832,  1328679.09,  3844386.47,  5041314.03,      51.286820,       -0.314270,  112413.68,  183714.75,       0.00,             1119.14,   608.36,      0.00,           64952.16,    166.70,    289.29,         374.87,  +3.69,  +2.37
  1,     UK0038,       0,  0.040176, 2459486.675279248040, 132.24456,  26.54547,               92.44080,  36.82714,        92.43454,       36.82837,    132.24456,     +26.54547,     132.24784,      +26.54985,  1329517.98,  3842699.46,  5040049.65,      51.288935,       -0.333375,  110601.38,  181517.62,    2269.01,             3388.14,    83.07,  56476.71,           64952.16,     -8.06,    -14.23,          18.59,  +1.70,  +0.41
  2,     UK0038,       0,  0.080296, 2459486.675279712304, 132.48151,  26.45020,               92.33398,  36.61101,        92.36584,       36.60472,    132.48151,     +26.45020,     132.46631,      +26.42787,  1330524.82,  3840674.68,  5038532.13,      51.291471,       -0.356288,  108426.61,  178885.10,    4992.30,             6111.43,    15.96,  67878.58,           64952.16,     40.68,     71.45,          94.81,  +1.27,  +0.01
  3,     UK0038,       0,  0.120440, 2459486.675280177034, 132.71139,  26.32064,               92.26240,  36.37461,        92.29371,       36.36843,    132.71139,     +26.32064,     132.69656,      +26.29866,  1331556.88,  3838599.20,  5036976.60,      51.294068,       -0.379788,  106197.78,  176189.95,    7783.80,             8902.93,    15.39,  69537.20,           64952.16,     39.49,     69.36,          93.44,  +0.95,  -0.28
  4,     UK0038,       0,  0.160580, 2459486.675280641299, 132.95719,  26.20316,               92.16742,  36.13686,        92.22028,       36.12638,    132.95719,     +26.20316,     132.93184,      +26.16595,  1332582.22,  3836537.24,  5035431.20,      51.296644,       -0.403155,  103983.89,  173515.56,   10557.10,            11676.24,    -3.11,  69090.78,           66335.92,     66.00,    115.61,         158.25,  +0.82,  -0.38
  5,     UK0038,       0,  0.200744, 2459486.675281106029, 133.17274,  26.04593,               92.13048,  35.88931,        92.14777,       35.88591,    133.17274,     +26.04593,     133.16504,      +26.03375,  1333570.71,  3834549.36,  5033941.33,      51.299126,       -0.425706,  101849.93,  170940.09,   13230.78,            14349.91,  -122.89,  66569.00,           66764.65,     21.25,     37.39,          51.89,  +0.73,  -0.43
  6,     UK0038,       0,  0.240876, 2459486.675281570759, 133.42825,  25.93743,               92.01957,  35.65178,        92.07436,       35.64092,    133.42825,     +25.93743,     133.40204,      +25.89872,  1334547.98,  3832584.07,  5032468.39,      51.301577,       -0.448020,   99740.60,  168397.02,   15874.06,            16993.20,  -270.85,  65864.73,           66821.34,     66.79,    116.98,         164.99,  +1.46,  +0.33

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.