Orbital Analysis for matched events on 20210904_235553.314_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 73.33° Bg 14.09° Vg 64.54km/s
mass 0.01727g, abs. mag 0.0
Path Details
------------
start 0.78° 50.36° 109.54km
end   0.55° 50.30° 99.21km

Orbit Details
-------------
Semimajor axis 2.11A.U., eccentricity 0.52, inclination 154.56°, Period 3.07Y, LA Sun 162.36°, last Perihelion 2021-09-02

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: 2459462.497144839261
Time: 2021-09-04 23:55:53.314112 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002N and UK002W
 Convergence angle = 20.83909 deg
 R.A. =  68.74352  Dec = +36.17983 deg

Best intersection: Stations UK002N and UK002W with Qconv = 20.84 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3987801.48 +/- 237.05 m
 Y =  -1138590.84 +/- 98.41 m
 Z =   4972704.49 +/- 37.89 m
 Vx =    18205.09 +/- 1033.36 m/s
 Vy =    49225.35 +/- 688.46 m/s
 Vz =    39171.90 +/- 750.93 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.143616e+04, +2.503993e+04, +5.363789e+03, +2.643077e+05, +1.137304e+05, +3.147585e+04
+2.503993e+04, +1.071784e+04, +2.370331e+03, +1.090360e+05, +4.817592e+04, +1.237300e+04
+5.363789e+03, +2.370331e+03, +1.450349e+03, +2.462487e+04, +9.068490e+03, +5.027165e+03
+2.643077e+05, +1.090360e+05, +2.462487e+04, +1.285746e+06, +5.454958e+05, +1.404425e+05
+1.137304e+05, +4.817592e+04, +9.068490e+03, +5.454958e+05, +2.428728e+05, +5.192818e+04
+3.147585e+04, +1.237300e+04, +5.027165e+03, +1.404425e+05, +5.192818e+04, +2.613105e+04

Timing offsets (from input data):
    UK002N: 0.000000 s
    UK002W: -0.000010 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 23:55:53.314112 UTC
  Lon     = ++0.775718 +/- 0.0022 deg
  Lat     = +50.358379 +/- 0.0013 deg
  Lat geo = +50.172396 +/- 0.0013 deg
  Ht      =  109542.22 +/- 148.49 m

  JD dynamic   = 2459462.497945580166 
  LST apparent = 344.0649791600 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  69.70401 +/- 0.8727 deg
  Dec       = +36.73619 +/- 0.3346 deg
  Azimuth   =  67.27491 +/- 0.8308 deg
  Elevation = +29.96486 +/- 0.3178 deg
  Vavg      =  64.37492 +/- 0.7336 km/s
  Vinit     =  65.49045 +/- 0.7379 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  69.72897 +/- 0.8727 deg
  Dec       = +36.57898 +/- 0.3346 deg
  Azimuth   =  67.39231 +/- 0.8308 deg
  Elevation = +29.84336 +/- 0.3178 deg
  Vavg      =  64.61683 +/- 0.7336 km/s
  Vinit     =  65.73235 +/- 0.7379 km/s
Radiant (geocentric, J2000):
  R.A.   =  69.78456 +/- 0.8840 deg
  Dec    = +36.36755 +/- 0.3275 deg
  Vg     =  64.54366 +/- 0.7482 km/s
  Vinf   =  65.49045 +/- 0.7379 km/s
  Zc     =  60.10714 +/- 0.3201 deg
  Zg     =  60.58989 +/- 0.3328 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  73.32862 +/- 0.7798 deg
  Bg     = +14.09246 +/- 0.2236 deg
  Vh     =  36.59790 +/- 0.7134 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  73.45711 +/- 1.4122 deg
  Bh     = +25.43314 +/- 0.5825 deg
  Vh_x   =  -9.41074 +/- 1.0762 km/s
  Vh_y   = -31.68300 +/- 0.4678 km/s
  Vh_z   = -15.71724 +/- 0.1253 km/s
Orbit:
  La Sun = 162.364046 +/- nan deg
  a      =   2.111445 +/- 0.5941 AU
  e      =   0.522640 +/- 0.0622
  i      = 154.562785 +/- 0.5671 deg
  peri   = 177.123420 +/- 3.0758 deg
  node   = 162.359809 +/- 0.0001 deg
  Pi     = 339.483229 +/- 3.0756 deg
  q      =   1.007918 +/- 0.0019 AU
  f      =   2.871012 +/- 3.0759 deg
  M      =   0.767590 +/- 0.4083 deg
  Q      =   3.214971 +/- 1.1901 AU
  n      =   0.321244 +/- 0.0530 deg/day
  T      =   3.068105 +/- 1.6254 years
  Last perihelion JD = 2459460.108511 (2021-09-02 14:36:15.361499) +/- 736.3201 days
  Tj     =   1.483998 +/- 0.3418
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.227988e-03, -1.058385e-04, -4.931315e+01, -1.664991e-07, +3.730898e-03, +6.662227e-04
q   , -1.058385e-04, +3.369104e-06, +1.187895e+00, +3.684447e-09, -8.708632e-05, -1.441344e-05
Tp  , -4.931315e+01, +1.187895e+00, +6.172353e+05, +2.073711e-03, -4.474612e+01, -8.335943e+00
node, -1.664991e-07, +3.684447e-09, +2.073711e-03, +7.517153e-12, -1.528219e-07, -3.031140e-08
peri, +3.730898e-03, -8.708632e-05, -4.474612e+01, -1.528219e-07, +3.399353e-03, +6.150064e-04
i   , +6.662227e-04, -1.441344e-05, -8.335943e+00, -3.031140e-08, +6.150064e-04, +1.223846e-04

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: UK002N
  Avg. res. = 6.911e-06 s
  Stddev    = 2.63e-03 s

Begin point on the trajectory:
  Lon =     0.775717 +/- 0.0021 deg
  Lat =    50.358379 +/- 0.0013 deg
  Ht  = 109542.16 +/- 143.84 m
End point on the trajectory:
  Lon =     0.545435 +/- 0.0015 deg
  Lat =    50.296734 +/- 0.0007 deg
  Ht  = 99211.60 +/- 98.27 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
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   109542.16,    99356.92,          0.014658,     43.24,     16.17,              53.07, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210904_235547_507_0419584.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   107007.82,    99211.60,          0.015436,     54.86,     45.77,              43.21, 1.0000,    True,    True, {"ff_name": "FF_UK002W_20210904_235547_153_0409600.fits"}
    UK0038,    True,    -2.379250,    51.361350,  169.00, 100478.498967,   0.050644,   103918.99,    93163.52,          1.223704,       nan,       nan,              42.98, 0.0000,    True,    True, {"ff_name": "FF_UK0038_20210904_235545_472_0409856.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,     UK002N,       0,  0.000000, 2459462.497144839261,  19.18887,   6.46117,              132.93777,  35.92804,       132.94394,       35.94882,     19.18887,      +6.46117,      19.17477,       +6.47731,  3987801.45, -1138590.93,  4972704.41,      50.358379,       +0.775717,  109542.16,  183596.13,       0.00,                0.13,   295.21,      0.00,           64262.65,    -24.01,    -64.14,          76.94,  +3.80,  +2.48
  1,     UK002N,       0,  0.040184, 2459462.497145304456,  18.76282,   6.09216,              133.61089,  35.79417,       133.61816,       35.81799,     18.76282,      +6.09216,      18.74680,       +6.11067,  3987197.13, -1140224.98,  4971404.10,      50.351945,       +0.751548,  108456.60,  182350.82,    2173.96,             2174.09,  -162.50,  54100.24,           64262.65,    -27.37,    -73.12,          88.31,  +1.61,  +0.31
  2,     UK002N,       0,  0.080436, 2459462.497145770118,  18.14896,   5.57747,              134.56814,  35.61090,       134.57251,       35.62466,     18.14896,      +5.57747,      18.13991,       +5.58819,  3986350.90, -1142513.13,  4969583.26,      50.342924,       +0.717769,  106937.39,  180639.64,    5218.17,             5218.30,   245.59,  75628.71,           64262.65,    -15.70,    -41.99,          51.19,  +1.01,  -0.27
  3,     UK002N,       0,  0.120620, 2459462.497146235313,  17.64821,   5.18229,              135.33294,  35.47872,       135.32877,       35.46594,     17.64821,      +5.18229,      17.65744,       +5.17233,  3985689.16, -1144302.42,  4968159.40,      50.335860,       +0.691316,  105750.12,  179324.92,    7598.69,             7598.81,    -5.56,  59240.37,           64262.65,     14.48,     38.77,          47.60,  +1.12,  -0.15
  4,     UK002N,       0,  0.160852, 2459462.497146700975,  17.10372,   4.71243,              136.18358,  35.29408,       136.17911,       35.28080,     17.10372,      +4.71243,      17.11348,       +4.70206,  3984952.96, -1146293.05,  4966575.33,      50.327991,       +0.661902,  104430.02,  177889.31,   10247.06,            10247.18,     7.99,  65827.44,           64452.92,     14.96,     40.07,          49.59,  +0.83,  -0.42
  5,     UK002N,       0,  0.201108, 2459462.497147167102,  16.54702,   4.20707,              137.06288,  35.07732,       137.06409,       35.08079,     16.54702,      +4.20707,      16.54548,       +4.20978,  3984195.42, -1148341.40,  4964945.31,      50.319883,       +0.631639,  103072.47,  176441.84,   12972.23,            12972.35,    96.78,  67696.06,           64971.09,     -3.89,    -10.41,          13.00,  +0.76,  -0.47
  6,     UK002N,       0,  0.241324, 2459462.497147632297,  16.02599,   3.76787,              137.86478,  34.89998,       137.86270,       34.89417,     16.02599,      +3.76787,      16.03100,       +3.76331,  3983519.35, -1150169.45,  4963490.62,      50.312637,       +0.604610,  101861.63,  175175.31,   15404.30,            15404.42,  -104.91,  60475.14,           64674.39,      6.48,     17.36,          21.82,  +0.67,  -0.55
  7,     UK002N,       0,  0.281576, 2459462.497148098424,  15.41342,   3.24762,              138.80557,  34.68188,       138.80007,       34.66695,     15.41342,      +3.24762,      15.42490,       +3.23589,  3982733.56, -1152294.17,  4961799.83,      50.304204,       +0.573220,  100455.14,  173735.76,   18231.07,            18231.20,    85.74,  70227.00,           65013.86,     16.54,     44.32,          56.17,  +0.83,  -0.37
  8,     UK002N,       0,  0.321796, 2459462.497148563620,  14.94024,   2.82048,              139.54168,  34.48580,       139.54027,       34.48207,     14.94024,      +2.82048,      14.94416,       +2.81754,  3982119.66, -1153954.11,  4960478.90,      50.297608,       +0.548658,   99356.92,  172633.80,   20439.50,            20439.63,  -339.86,  54908.65,           64498.63,      4.12,     11.02,          14.06,  +2.14,  +0.95
  0,     UK002W,       0,  0.080446, 2459462.497145769186,  36.91591,   2.15796,              116.49781,  22.22496,       116.49453,       22.21606,     36.91591,      +2.15796,      36.92374,       +2.15228,  3986390.14, -1142407.02,  4969667.70,      50.343343,       +0.719328,  107007.82,  270136.28,       0.00,             5077.12,   103.77,      0.00,           65011.51,     28.39,     34.03,          33.84,  +2.38,  +0.22
  1,     UK002W,       0,  0.120430, 2459462.497146232054,  36.68304,   1.87726,              116.87551,  22.12193,       116.86708,       22.09919,     36.68304,      +1.87726,      36.70271,       +1.86273,  3985731.09, -1144189.06,  4968249.61,      50.336308,       +0.692982,  105825.32,  268482.49,    2370.86,             7447.99,  -143.93,  59295.26,           65011.51,     72.12,     86.50,          86.53,  +1.32,  -0.82
  2,     UK002W,       0,  0.160446, 2459462.497146695387,  36.44439,   1.52735,              117.29932,  21.96374,       117.29877,       21.96228,     36.44439,      +1.52735,      36.44630,       +1.52642,  3984975.71, -1146231.54,  4966624.27,      50.328234,       +0.662808,  104470.79,  266601.89,    5088.23,            10165.35,   -47.23,  67906.99,           65011.51,      4.63,      5.55,           5.59,  +1.26,  -0.87
  3,     UK002W,       0,  0.200458, 2459462.497147158254,  36.20445,   1.17935,              117.72226,  21.80684,       117.72892,       21.82447,     36.20445,      +1.17935,      36.19038,       +1.19063,  3984232.04, -1148242.38,  4965024.11,      50.320275,       +0.633097,  103138.07,  264764.67,    7763.49,            12840.62,     7.63,  66861.58,           65011.51,    -55.37,    -66.28,          67.28,  +1.58,  -0.53
  4,     UK002W,       0,  0.240422, 2459462.497147621121,  35.92577,   0.87480,              118.15338,  21.70650,       118.14685,       21.68932,     35.92577,      +0.87480,      35.94130,       +0.86379,  3983517.95, -1150173.23,  4963487.60,      50.312622,       +0.604559,  101859.13,  263013.87,   10332.33,            15409.46,   -40.79,  64278.87,           65146.66,     53.58,     64.25,          65.61,  +1.01,  -1.09
  5,     UK002W,       0,  0.280442, 2459462.497148083989,  35.65185,   0.46023,              118.64446,  21.51047,       118.64990,       21.52464,     35.65185,      +0.46023,      35.64103,       +0.46932,  3982668.58, -1152469.86,  4961660.02,      50.303506,       +0.570643,  100338.89,  260951.05,   13387.82,            18464.95,   393.77,  76349.06,           66786.53,    -43.93,    -52.61,          54.17,  +1.18,  -0.90
  6,     UK002W,       0,  0.320430, 2459462.497148546856,  35.42109,   0.16681,              119.02443,  21.39101,       119.02791,       21.40001,     35.42109,      +0.16681,      35.41480,       +0.17259,  3982038.39, -1154173.86,  4960304.04,      50.296734,       +0.545435,   99211.60,  259430.88,   15654.85,            20731.98,    41.97,  56692.71,           66290.97,    -27.76,    -33.26,          34.44,  +2.33,  +0.26
  0,     UK0038,       1,  1.862893, 2459462.497166400310,  37.40678,   0.85614,              116.83356,  20.87284,       117.25523,       21.94259,     37.40678,      +0.85614,      36.49308,       +1.52675,  3984676.97, -1147039.30,  4965981.48,      50.325039,       +0.643827,  103918.99,  265193.64,       0.00,            11240.01, -110466.62,      0.00,           60718.12,  -3484.53,  -3958.90,        4102.21,  +4.38,  +2.26
  1,     UK0038,       1,  1.903081, 2459462.497166865505,  37.18020,   0.56313,              117.20935,  20.75538,       117.63224,       21.82198,     37.18020,      +0.56313,      36.26885,       +1.23244,  3984028.01, -1148794.05,  4964585.11,      50.318090,       +0.617877,  102755.59,  263587.27,    2334.55,            13574.57, -110764.00,  58090.78,           60718.12,  -3455.08,  -3927.25,        4093.39,  +4.97,  +2.87
  2,     UK0038,       1,  1.943325, 2459462.497167331632,  36.93785,   0.20293,              117.63833,  20.58990,       118.07367,       21.67920,     36.93785,      +0.20293,      36.00598,       +0.88701,  3983276.29, -1150826.65,  4962967.64,      50.310031,       +0.587842,  101408.85,  261742.00,    5038.76,            16278.78, -110695.38,  67195.42,           60718.12,  -3509.16,  -3985.82,        4185.06,  +2.70,  +0.61
  3,     UK0038,       1,  1.983525, 2459462.497167796828,  36.74157,  -0.09622,              117.98945,  20.44890,       118.43681,       21.56091,     36.74157,      -0.09622,      35.78926,       +0.60253,  3982665.06, -1152479.38,  4961652.45,      50.303469,       +0.563387,  100314.27,  260250.98,    7237.59,            18477.61, -111129.27,  54697.19,           60718.12,  -3566.72,  -4048.07,        4276.22,  +1.76,  -0.32
  4,     UK0038,       1,  2.023765, 2459462.497168262489,  36.51252,  -0.45363,              118.40324,  20.27652,       118.86664,       21.41938,     36.51252,      -0.45363,      35.53241,       +0.26498,  3981948.78, -1154416.17,  4960111.22,      50.295771,       +0.534756,   99032.39,  258518.44,    9814.34,            21054.35, -111187.86,  64034.44,           60995.92,  -3647.57,  -4135.27,        4399.74,  +1.30,  -0.76
  5,     UK0038,       1,  2.063961, 2459462.497168727685,  36.30195,  -0.75447,              118.76665,  20.14040,       119.23815,       21.29615,     36.30195,      -0.75447,      35.30994,       -0.02712,  3981336.55, -1156071.58,  4958793.89,      50.289183,       +0.510259,   97937.22,  257047.54,   12016.74,            23256.75, -111617.91,  54791.57,           60189.44,  -3671.59,  -4161.26,        4453.32,  +1.41,  -0.64
  6,     UK0038,       1,  2.104185, 2459462.497169193346,  36.07574,  -1.08929,              119.16308,  19.98355,       119.64612,       21.15953,     36.07574,      -1.08929,      35.06524,       -0.34858,  3980670.79, -1157871.77,  4957361.36,      50.282011,       +0.483632,   96746.97,  255460.99,   14411.74,            25651.76, -111857.20,  59541.62,           59831.95,  -3717.76,  -4211.01,        4535.77,  +1.22,  -0.82
  7,     UK0038,       1,  2.144409, 2459462.497169659007,  35.81252,  -1.43757,              119.59947,  19.83458,       120.08573,       21.01083,     35.81252,      -1.43757,      34.80109,       -0.69569,  3979960.98, -1159791.03,  4955834.08,      50.274355,       +0.455253,   95478.76,  253784.30,   16965.17,            28205.19, -111938.06,  63480.28,           59987.07,  -3697.05,  -4188.95,        4541.15,  +1.28,  -0.74
  8,     UK0038,       1,  2.184625, 2459462.497170124203,  35.57242,  -1.77417,              120.00764,  19.68181,       120.50155,       20.86896,     35.57242,      -1.77417,      34.55066,       -1.02458,  3979296.93, -1161586.59,  4954405.23,      50.267183,       +0.428691,   94292.91,  252228.55,   19354.02,            30594.04, -112182.97,  59400.46,           60020.36,  -3712.39,  -4205.59,        4587.67,  +1.30,  -0.71
  9,     UK0038,       1,  2.224873, 2459462.497170590330,  35.38400,  -2.12894,              120.37921,  19.48490,       120.90189,       20.73123,     35.38400,      -2.12894,      34.30903,       -1.34173,  3978664.18, -1163297.50,  4953043.74,      50.260341,       +0.403371,   93163.52,  250758.03,   21630.26,            32870.27, -112542.60,  56555.21,           59848.14,  -3884.58,  -4390.16,        4822.17,  +2.21,  +0.21

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.