Orbital Analysis for matched events on 20211103_011515.336_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 107.98° Bg -8.10° Vg 67.88km/s
mass 0.02722g, abs. mag -1.1
best visual mag 0.8
Path Details
------------
start 3.47° 51.60° 110.57km
end   3.31° 51.66° 100.37km

Orbit Details
-------------
Semimajor axis -55.36A.U., eccentricity 1.01, inclination 163.37°, Period nanY, LA Sun 220.54°, 

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: 2459521.552260838915
Time: 2021-11-03 01:15:15.376715 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK003W
 Convergence angle = 11.40194 deg
 R.A. = 105.65161  Dec = +13.09647 deg

Best intersection: Stations UK0004 and UK003W with Qconv = 11.40 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1718462.04 +/- 745.49 m
 Y =   3656538.82 +/- 654.77 m
 Z =   5062709.32 +/- 450.58 m
 Vx =   -21109.86 +/- 935.28 m/s
 Vy =    63164.20 +/- 5175.81 m/s
 Vz =    17168.57 +/- 2201.50 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.802263e+04, -2.063948e+04, -2.446590e+04, +1.077846e+04, -3.221796e+04, -9.108450e+04
-2.063948e+04, +2.512796e+04, +2.569642e+04, -4.359652e+03, +2.546311e+04, +8.221674e+04
-2.446590e+04, +2.569642e+04, +3.682687e+04, -2.705926e+04, +6.153224e+04, +1.580375e+05
+1.077846e+04, -4.359652e+03, -2.705926e+04, +4.917784e+04, -8.045994e+04, -1.727218e+05
-3.221796e+04, +2.546311e+04, +6.153224e+04, -8.045994e+04, +1.452210e+05, +3.321583e+05
-9.108450e+04, +8.221674e+04, +1.580375e+05, -1.727218e+05, +3.321583e+05, +7.875524e+05

Timing offsets (from input data):
    UK0004: 0.001916 s
    UK0034: 0.000000 s
    UK003W: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 01:15:15.376715 UTC
  Lon     = ++3.489692 +/- 0.0135 deg
  Lat     = +51.593140 +/- 0.0007 deg
  Lat geo = +51.408894 +/- 0.0007 deg
  Ht      =  112130.75 +/- 524.02 m

  JD dynamic   = 2459521.553062045481 
  LST apparent = 64.8279026818 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 108.47995 +/- 2.1990 deg
  Dec       = +14.45569 +/- 0.9647 deg
  Azimuth   = 120.51405 +/- 2.8941 deg
  Elevation = +39.11519 +/- 0.5149 deg
  Vavg      =  67.70721 +/- 4.0985 km/s
  Vinit     =  68.77574 +/- 4.3467 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 108.66278 +/- 2.1990 deg
  Dec       = +14.41345 +/- 0.9647 deg
  Azimuth   = 120.35419 +/- 2.8941 deg
  Elevation = +38.98206 +/- 0.5149 deg
  Vavg      =  67.90449 +/- 4.0985 km/s
  Vinit     =  68.97301 +/- 4.3467 km/s
Radiant (geocentric, J2000):
  R.A.   = 108.37648 +/- 2.1844 deg
  Dec    = +14.19614 +/- 0.9996 deg
  Vg     =  67.87509 +/- 4.3961 km/s
  Vinf   =  68.77574 +/- 4.3467 km/s
  Zc     =  50.79144 +/- 0.5218 deg
  Zg     =  51.14999 +/- 0.4945 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 107.98171 +/- 1.9638 deg
  Bg     =  -8.10185 +/- 1.2774 deg
  Vh     =  42.47748 +/- 3.6219 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  91.23898 +/- 4.3609 deg
  Bh     = -13.01434 +/- 2.1833 deg
  Vh_x   =   0.89488 +/- 3.8664 km/s
  Vh_y   = -41.37671 +/- 3.4191 km/s
  Vh_z   =   9.56571 +/- 1.1280 km/s
Orbit:
  La Sun = 220.538637 +/- 0.0000 deg
  a      = -55.362927 +/- 14.6718 AU
  e      =   1.011133 +/- 0.3248
  i      = 163.370535 +/- 3.3080 deg
  peri   =  75.717004 +/- 13.0748 deg
  node   =  40.536974 +/- 0.0011 deg
  Pi     = 116.253978 +/- 13.0758 deg
  q      =   0.616363 +/- 0.0823 AU
  f      = 284.280076 +/- 13.0737 deg
  M      =        nan +/- nan deg
  Q      = -111.342217 +/- 29.3411 AU
  n      =   0.002393 +/- 0.4332 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -1.029266 +/- 2.1803
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.828255e-04, +2.047904e-04, -1.142942e+02, -5.824698e-06, -4.493629e-02, +4.015498e-02
q   , +2.047904e-04, +6.816116e-05, -3.149273e+01, -1.670948e-06, -1.432973e-02, +1.170917e-02
Tp  , -1.142942e+02, -3.149273e+01, +2.028238e+07, +1.006360e+00, +7.169262e+03, -6.859320e+03
node, -5.824698e-06, -1.670948e-06, +1.006360e+00, +5.054258e-08, +3.737105e-04, -3.462972e-04
peri, -4.493629e-02, -1.432973e-02, +7.169262e+03, +3.737105e-04, +3.065064e+00, -2.600334e+00
i   , +4.015498e-02, +1.170917e-02, -6.859320e+03, -3.462972e-04, -2.600334e+00, +2.377941e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.001370
 a2 = 44.731127

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 1.101e-06 s
  Stddev    = 1.05e-03 s

Begin point on the trajectory:
  Lon =     3.466298 +/- 0.0103 deg
  Lat =    51.601723 +/- 0.0006 deg
  Ht  = 110574.74 +/- 390.83 m
End point on the trajectory:
  Lon =     3.311212 +/- 0.0087 deg
  Lat =    51.658059 +/- 0.0007 deg
  Ht  = 100373.31 +/- 323.75 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
    UK0004,   False,     0.265784,    50.757315,   55.00,   0.000014,  59.734132,   109517.54,   100862.67,          0.012493,      6.51,     56.59,              43.83, 1.0000,    True,    True, {"ff_name": "FF_UK0004_20211103_011505_962_0733696.fits"}
    UK0034,    True,     1.010397,    52.949859,   25.00, 430.441183,   0.000000,   109255.69,   100502.19,          0.060513,       nan,       nan,              16.39, 0.0000,    True,    True, {"ff_name": "FF_UK0034_20211103_011508_423_0742912.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   2.605161,  16.903748,   110574.74,   100373.31,          0.011830,     16.44,     48.57,              29.55, 1.0000,    True,    True, {"ff_name": "FF_UK003W_20211103_011506_210_0734464.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,     UK0004,       0,  0.064795, 2459521.552261566743, 154.65232,  32.87147,               65.74225,  23.08486,        65.74766,       23.07656,    154.65232,     +32.87147,     154.65507,      +32.86202,  1719733.81,  3652733.49,  5061675.00,      51.607557,       +3.450293,  109517.54,  267384.65,       0.00,             4143.40,   -25.10,      0.00,           67347.76,     44.86,      5.16,          34.83,  +2.85,  +0.71
  1,     UK0004,       0,  0.104975, 2459521.552262031473, 155.19866,  32.96117,               65.31296,  22.83558,        65.31201,       22.83704,    155.19866,     +32.96117,     155.19866,      +32.96284,  1720661.26,  3649958.41,  5060920.71,      51.618069,       +3.421426,  107612.82,  265272.36,    3021.62,             7165.01,   233.11,  75201.99,           67347.76,     -7.84,     -0.90,           6.14,  +2.40,  +0.28
  2,     UK0004,       0,  0.145131, 2459521.552262496203, 155.66477,  33.03616,               64.94828,  22.62273,        64.94202,       22.63227,    155.66477,     +33.03616,     155.66263,      +33.04707,  1721439.70,  3647629.16,  5060287.60,      51.626892,       +3.397147,  106014.74,  263511.65,    5557.79,             9701.19,     7.53,  63158.13,           67347.76,    -50.95,     -5.89,          40.14,  +1.58,  -0.52
  3,     UK0004,       0,  0.185263, 2459521.552262960933, 156.14281,  33.15024,               64.54722,  22.43256,        64.55707,       22.41762,    156.14281,     +33.15024,     156.14779,      +33.13310,  1722241.26,  3645230.78,  5059635.70,      51.635976,       +3.372131,  104369.83,  261712.43,    8169.25,            12312.65,  -141.12,  65071.65,           67347.76,     79.41,      9.12,          62.99,  +1.09,  -1.00
  4,     UK0004,       0,  0.225455, 2459521.552263426129, 156.68329,  33.21238,               64.14358,  22.16983,        64.13618,       22.18099,    156.68329,     +33.21238,     156.68115,      +33.22521,  1723108.24,  3642636.64,  5058930.59,      51.645801,       +3.345060,  102591.36,  259782.88,   10993.86,            15137.25,   -80.75,  70277.83,           67567.07,    -58.96,     -6.81,          47.12,  +0.93,  -1.14
  5,     UK0004,       0,  0.265599, 2459521.552263890859, 157.20387,  33.32904,               63.71352,  21.95960,        63.72226,       21.94647,    157.20387,     +33.32904,     157.20851,      +33.31390,  1723951.29,  3640114.09,  5058244.94,      51.655354,       +3.318707,  100862.67,  257922.30,   13740.51,            17883.91,   -95.02,  68420.17,           67751.53,     69.01,      7.92,          55.55,  +1.28,  -0.78
  6,     UK0004,       1,  0.305655, 2459521.552264354192, 157.50900,  33.43479,               63.43443,  21.86443,        63.47372,       21.80545,    157.50900,     +33.43479,     157.52604,      +33.36670,  1724452.11,  3638615.55,  5057837.62,      51.661029,       +3.302972,   99836.01,  256820.63,   15372.19,            19515.58, -1218.23,  40734.73,           64930.77,    308.89,     35.05,         249.67,  +4.95,  +2.90
  0,     UK0034,       1,  0.077677, 2459521.552261738107, 105.61761,  -1.29545,              130.94897,  24.86993,       130.93934,       24.86330,    105.61761,      -1.29545,     105.62873,       -1.29737,  1719861.29,  3652352.06,  5061571.32,      51.609002,       +3.446288,  109255.69,  250339.65,       0.00,             4558.72,  -495.72,      0.00,           68073.18,     36.19,    -31.39,          39.48,  +4.75,  +2.76
  1,     UK0034,       1,  0.117841, 2459521.552262202837, 105.64983,  -1.47911,              131.00941,  24.69172,       131.05770,       24.72468,    105.64983,      -1.47911,     105.59625,       -1.46970,  1720703.44,  3649832.20,  5060886.41,      51.618547,       +3.420059,  107526.20,  247695.69,    2743.72,             7302.44,  -514.31,  68312.88,           68073.18,   -178.57,    156.14,         197.53,  +1.33,  -0.64
  2,     UK0034,       1,  0.158025, 2459521.552262668032, 105.60090,  -1.69011,              131.16277,  24.52597,       131.20290,       24.55338,    105.60090,      -1.69011,     105.55657,       -1.68225,  1721718.02,  3646796.40,  5060061.25,      51.630046,       +3.388460,  105443.53,  244515.09,    6049.22,            10607.94,    27.50,  82259.11,           68073.18,   -146.75,    128.13,         164.34,  +1.28,  -0.66
  3,     UK0034,       1,  0.198141, 2459521.552263132297, 105.58773,  -1.82089,              131.24083,  24.41539,       131.29149,       24.44994,    105.58773,      -1.82089,     105.53175,       -1.81099,  1722319.87,  3644995.55,  5059571.76,      51.636867,       +3.369630,  104208.52,  242626.89,    8010.06,            12568.77,  -770.67,  48879.21,           68073.18,   -183.74,    160.63,         207.48,  +1.41,  -0.51
  4,     UK0034,       1,  0.238329, 2459521.552263597492, 105.55699,  -2.03523,              131.37741,  24.23820,       131.43629,       24.27829,    105.55699,      -2.03523,     105.49194,       -2.02374,  1723294.56,  3642079.13,  5058779.06,      51.647912,       +3.339213,  102209.24,  239576.51,   11185.58,            15744.30,  -359.11,  79016.65,           68818.93,   -210.85,    184.47,         241.20,  +0.90,  -1.00
  5,     UK0034,       1,  0.278473, 2459521.552264061756, 105.36256,  -2.19273,              131.64546,  24.18538,       131.56291,       24.12819,    105.36256,      -2.19273,     105.45682,       -2.20982,  1724127.13,  3639587.95,  5058101.93,      51.657346,       +3.313180,  100502.19,  236972.56,   13898.07,            18456.79,  -407.54,  67569.15,           68853.49,    296.92,   -254.67,         340.49,  +4.98,  +3.11
  0,     UK003W,       1,  0.000000, 2459521.552260838915, 139.84665,  22.54429,               84.11923,  24.58818,        84.11608,       24.59269,    139.84665,     +22.54429,     139.84567,      +22.54955,  1718440.77,  3656602.47,  5062726.62,      51.592899,       +3.490517,  112174.47,  259120.37,       0.00,               69.31,   357.16,      0.00,           68026.47,    -22.88,     -7.75,          19.23,  +6.14,  +4.07
  1,     UK003W,       0,  0.040244, 2459521.552261304576, 140.15145,  22.61137,               83.84051,  24.44889,        83.84782,       24.43846,    140.15145,     +22.61137,     140.15386,      +22.59918,  1719219.21,  3654273.24,  5062093.52,      51.601723,       +3.466298,  110574.74,  256933.61,    2536.16,             2466.85,   -13.10,  63019.70,           68026.47,     52.55,     17.76,          44.53,  +4.66,  +2.61
  2,     UK003W,       0,  0.080552, 2459521.552261771169, 140.51339,  22.66568,               83.52875,  24.26482,        83.53430,       24.25693,    140.51339,     +22.66568,     140.51540,      +22.65643,  1720114.96,  3651593.01,  5061365.01,      51.611877,       +3.438428,  108734.66,  254427.13,    5454.50,             5385.19,   133.03,  72401.00,           68026.47,     39.43,     13.33,          33.75,  +2.75,  +0.72
  3,     UK003W,       0,  0.120856, 2459521.552262237761, 140.85811,  22.70391,               83.24222,  24.07965,        83.23862,       24.08476,    140.85811,     +22.70391,     140.85755,      +22.70991,  1720946.17,  3649105.91,  5060689.00,      51.621298,       +3.412530,  107027.86,  252108.59,    8162.56,             8093.25,    69.14,  67190.65,           68026.47,    -25.31,     -8.57,          21.87,  +1.68,  -0.33
  4,     UK003W,       0,  0.161136, 2459521.552262703888, 141.19456,  22.75416,               82.95349,  23.90865,        82.94891,       23.91511,    141.19456,     +22.75416,     141.19390,      +22.76176,  1721748.10,  3646706.39,  5060036.78,      51.630387,       +3.387515,  105381.79,  249878.91,   10775.25,            10705.94,   -88.45,  64863.41,           67456.16,    -31.80,    -10.77,          27.72,  +1.06,  -0.93
  5,     UK003W,       0,  0.201456, 2459521.552263170481, 141.57068,  22.80736,               82.63340,  23.71543,        82.62656,       23.72505,    141.57068,     +22.80736,     141.56956,      +22.81870,  1722626.40,  3644078.37,  5059322.47,      51.640341,       +3.360107,  103579.69,  247446.71,   13636.74,            13567.44,     0.01,  70969.51,           67795.54,    -46.95,    -15.90,          41.32,  +0.88,  -1.09
  6,     UK003W,       0,  0.241756, 2459521.552263637073, 141.92481,  22.85430,               82.33482,  23.53133,        82.32443,       23.54590,    141.92481,     +22.85430,     141.92289,      +22.87149,  1723436.48,  3641654.48,  5058663.63,      51.649520,       +3.334792,  101918.21,  245210.99,   16275.98,            16206.67,  -132.43,  65489.60,           67669.59,    -70.53,    -23.91,          62.64,  +0.80,  -1.15
  7,     UK003W,       0,  0.282004, 2459521.552264102735, 142.25400,  22.93506,               82.03053,  23.38791,        82.03915,       23.37584,    142.25400,     +22.93506,     142.25759,      +22.92081,  1724190.00,  3639399.84,  5058050.80,      51.658059,       +3.311212,  100373.31,  243138.06,   18730.92,            18661.61,  -445.57,  60995.50,           67061.64,     57.99,     19.59,          51.93,  +1.67,  -0.26
  8,     UK003W,       1,  0.322288, 2459521.552264569327, 142.62005,  23.00979,               81.70371,  23.21741,        81.72515,       23.18746,    142.62005,     +23.00979,     142.62731,      +22.97435,  1725007.03,  3636955.12,  5057386.31,      51.667316,       +3.285635,   98698.80,  240899.56,   21392.83,            21323.52,  -554.22,  66078.51,           66712.35,    142.86,     48.14,         129.07,  +5.92,  +4.01

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.