Orbital Analysis for matched events on 20210929_031231.904_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 94.00° Bg -15.83° Vg 69.74km/s
mass 0.01286g, abs. mag 0.1
Path Details
------------
start -0.64° 49.64° 113.09km
end   -0.85° 49.75° 98.36km

Orbit Details
-------------
Semimajor axis 110.00A.U., eccentricity 0.99, inclination 153.00°, Period 1153.62Y, LA Sun 185.91°, last Perihelion 868-02-02

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: 2459486.633702594787
Time: 2021-09-29 03:12:31.904190 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0009 and UK003N
 Convergence angle = 6.83547 deg
 R.A. =  94.96980  Dec =  +8.12402 deg

Best intersection: Stations UK0009 and UK003N with Qconv = 6.84 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2379594.48 +/- 163.84 m
 Y =   3474798.02 +/- 274.73 m
 Z =   4923359.66 +/- 44.29 m
 Vx =    -4872.35 +/- 777.24 m/s
 Vy =    69787.98 +/- 1110.32 m/s
 Vz =     9642.32 +/- 516.79 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.597881e+04, +2.558970e+04, -3.780376e+03, +4.184467e+04, +7.155272e+04, -1.291068e+04
+2.558970e+04, +4.221381e+04, -6.368069e+03, +6.879866e+04, +1.181028e+05, -2.298416e+04
-3.780376e+03, -6.368069e+03, +1.177867e+03, -1.082502e+04, -1.979641e+04, +4.366175e+03
+4.184467e+04, +6.879866e+04, -1.082502e+04, +2.500382e+05, +3.795684e+05, -7.446183e+04
+7.155272e+04, +1.181028e+05, -1.979641e+04, +3.795684e+05, +6.269133e+05, -1.143284e+05
-1.291068e+04, -2.298416e+04, +4.366175e+03, -7.446183e+04, -1.143284e+05, +2.810815e+04

Timing offsets (from input data):
    UK0009: 0.000000 s
    UK0038: 0.000000 s
    UK003N: -0.000908 s

Reference point on the trajectory:
  Time: 2021-09-29 03:12:31.904190 UTC
  Lon     = +-0.643861 +/- 0.0004 deg
  Lat     = +49.642649 +/- 0.0024 deg
  Lat geo = +49.455962 +/- 0.0024 deg
  Ht      =  113092.16 +/- 174.74 m

  JD dynamic   = 2459486.634503335692 
  LST apparent = 55.5960641529 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  93.99370 +/- 0.6992 deg
  Dec       =  +7.84765 +/- 0.3114 deg
  Azimuth   = 129.27681 +/- 0.9438 deg
  Elevation = +37.35794 +/- 0.1074 deg
  Vavg      =  68.93574 +/- 0.8643 km/s
  Vinit     =  70.61923 +/- 1.0017 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  94.19029 +/- 0.6992 deg
  Dec       =  +7.82653 +/- 0.3114 deg
  Azimuth   = 129.07920 +/- 0.9438 deg
  Elevation = +37.24105 +/- 0.1074 deg
  Vavg      =  69.12512 +/- 0.8643 km/s
  Vinit     =  70.80861 +/- 1.0017 km/s
Radiant (geocentric, J2000):
  R.A.   =  93.88032 +/- 0.7070 deg
  Dec    =  +7.55212 +/- 0.3051 deg
  Vg     =  69.74263 +/- 1.0145 km/s
  Vinf   =  70.61923 +/- 1.0017 km/s
  Zc     =  52.52401 +/- 0.1094 deg
  Zg     =  52.87712 +/- 0.1192 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  93.99852 +/- 0.7171 deg
  Bg     = -15.83173 +/- 0.3267 deg
  Vh     =  41.98784 +/- 1.0928 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  91.74447 +/- 1.2499 deg
  Bh     = -26.94236 +/- 0.2625 deg
  Vh_x   =   1.13947 +/- 0.7643 km/s
  Vh_y   = -37.41325 +/- 0.9366 km/s
  Vh_z   =  19.02444 +/- 0.6484 km/s
Orbit:
  La Sun = 185.907431 +/- nan deg
  a      = 109.995741 +/- 31.3845 AU
  e      =   0.990931 +/- 0.1018
  i      = 152.996361 +/- 0.2898 deg
  peri   =   7.459025 +/- 1.9967 deg
  node   =   5.910494 +/- 0.0000 deg
  Pi     =  13.369518 +/- 1.9967 deg
  q      =   0.997596 +/- 0.0019 AU
  f      = 352.542329 +/- 1.9967 deg
  M      = 359.995422 +/- nan deg
  Q      = 218.993887 +/- 62.7692 AU
  n      =   0.000854 +/- 0.0366 deg/day
  T      = 1153.624427 +/- 339934577.1335 years
  Last perihelion JD = 2038123.330504 (0868-02-02 19:55:55.533104) +/- 122804.2728 days
  Tj     =  -1.053522 +/- 0.5549
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.111690e-03, -6.856188e-05, -6.413414e+03, -1.120911e-08, +1.713765e-03, -2.085265e-04
q   , -6.856188e-05, +1.104688e-06, +1.238175e+02, +1.753803e-10, -2.536711e-05, +3.279649e-06
Tp  , -6.413414e+03, +1.238175e+02, +1.928252e+10, +2.031202e-02, -2.501339e+03, +3.814638e+02
node, -1.120911e-08, +1.753803e-10, +2.031202e-02, +3.704213e-14, -3.997317e-09, +6.910394e-10
peri, +1.713765e-03, -2.536711e-05, -2.501339e+03, -3.997317e-09, +6.150936e-04, -7.457538e-05
i   , -2.085265e-04, +3.279649e-06, +3.814638e+02, +6.910394e-10, -7.457538e-05, +1.289338e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 6.533714
 a2 = 12.950033

Mean time residuals from time vs. length:
  Station with reference time: UK0009
  Avg. res. = 1.435e-06 s
  Stddev    = 1.20e-03 s

Begin point on the trajectory:
  Lon =    -0.643941 +/- 0.0003 deg
  Lat =    49.642691 +/- 0.0024 deg
  Ht  = 113086.42 +/- 175.72 m
End point on the trajectory:
  Lon =    -0.849874 +/- 0.0001 deg
  Lat =    49.750843 +/- 0.0020 deg
  Ht  = 98360.72 +/- 135.64 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
    UK0009,   False,    -0.848117,    51.261084,   92.00,   3.975445,  14.508281,   113086.42,    98360.72,          0.005039,      6.11,     16.93,              38.68, 1.0000,    True,    True, {"ff_name": "FF_UK0009_20210929_031223_194_0398848.fits"}
    UK0038,    True,    -2.379250,    51.361350,  169.00, 193.343519,   0.000000,   112016.69,    99975.57,          0.056425,       nan,       nan,              19.35, 0.0000,    True,    True, {"ff_name": "FF_UK0038_20210929_031230_609_0788736.fits"}
    UK003N,   False,    -0.162561,    51.236425,  111.00,   9.422011,  11.571590,   109428.35,    99281.49,          0.006607,     10.51,     20.82,              50.62, 1.0000,    True,    True, {"ff_name": "FF_UK003N_20210929_031228_805_0802048.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,     UK0009,       0,  0.000000, 2459486.633702594787,  59.44476,  -7.65142,              175.31327,  30.98378,       175.31617,       30.99042,     59.44476,      -7.65142,      59.44191,       -7.64492,  2379595.14,  3474788.67,  4923358.37,      49.642691,       -0.643941,  113086.42,  214394.59,       0.00,                9.47,     0.11,      0.00,           70899.25,    -24.95,     -8.99,          25.52,  +3.63,  +1.97
  1,     UK0009,       0,  0.039464, 2459486.633703051601,  59.02640,  -7.82166,              175.80556,  30.83401,       175.80543,       30.83372,     59.02640,      -7.82166,      59.02669,       -7.82195,  2379780.87,  3472128.32,  4922990.80,      49.654659,       -0.666652,  111453.25,  212272.25,    2692.04,             2701.51,   -94.77,  68215.13,           70899.25,      1.09,      0.39,           1.13,  +3.02,  +1.39
  2,     UK0009,       0,  0.078888, 2459486.633703507949,  58.57232,  -8.01444,              176.33810,  30.66088,       176.33789,       30.66040,     58.57232,      -8.01444,      58.57285,       -8.01491,  2379979.67,  3469280.97,  4922597.39,      49.667470,       -0.690972,  109706.06,  210015.44,    5573.31,             5582.77,     2.40,  73084.00,           70899.25,      1.76,      0.63,           1.83,  +1.99,  +0.38
  3,     UK0009,       0,  0.118312, 2459486.633703964297,  58.12254,  -8.20254,              176.86311,  30.48960,       176.86198,       30.48711,     58.12254,      -8.20254,      58.12410,       -8.20499,  2380171.90,  3466527.52,  4922216.96,      49.679860,       -0.714520,  108017.24,  207847.91,    8359.55,             8369.01,     4.55,  70673.75,           70899.25,      9.13,      3.29,           9.63,  +1.57,  -0.02
  4,     UK0009,       0,  0.157756, 2459486.633704420645,  57.68376,  -8.39635,              177.37339,  30.30969,       177.37567,       30.31467,     57.68376,      -8.39635,      57.68229,       -8.39143,  2380357.12,  3463874.55,  4921850.41,      49.691800,       -0.737238,  106390.75,  205773.71,   11044.12,            11053.59,   -96.38,  68060.38,           70381.65,    -18.09,     -6.52,          19.28,  +1.31,  -0.26
  5,     UK0009,       0,  0.197152, 2459486.633704876527,  57.20847,  -8.60061,              177.92332,  30.11771,       177.92737,       30.12647,     57.20847,      -8.60061,      57.20554,       -8.59193,  2380552.78,  3461072.09,  4921463.21,      49.704414,       -0.761250,  104673.35,  203598.36,   13879.96,            13889.43,   -42.65,  71982.97,           70462.29,    -31.54,    -11.37,          33.97,  +1.31,  -0.23
  6,     UK0009,       0,  0.236568, 2459486.633705332875,  56.75332,  -8.78040,              178.44707,  29.94697,       178.44688,       29.94657,     56.75332,      -8.78040,      56.75448,       -8.78079,  2380733.86,  3458478.48,  4921104.86,      49.716090,       -0.783508,  103084.63,  201599.90,   16504.46,            16513.93,  -201.68,  66584.63,           70075.81,      1.40,      0.51,           1.53,  +1.17,  -0.35
  7,     UK0009,       0,  0.275960, 2459486.633705788758,  56.27787,  -8.97157,              178.99178,  29.76247,       178.98873,       29.75603,     56.27787,      -8.97157,      56.28177,       -8.97798,  2380919.71,  3455816.51,  4920737.06,      49.728075,       -0.806370,  101454.72,  199564.04,   19198.14,            19207.60,  -289.84,  68381.26,           69773.67,     22.81,      8.24,          25.07,  +1.08,  -0.42
  8,     UK0009,       0,  0.315316, 2459486.633706244174,  55.77136,  -9.19478,              179.56933,  29.54324,       179.57148,       29.54773,     55.77136,      -9.19478,      55.77076,       -9.19030,  2381116.31,  3453000.50,  4920347.99,      49.740755,       -0.830570,   99731.25,  197427.74,   22047.69,            22057.16,  -219.57,  72404.68,           69807.71,    -15.76,     -5.69,          17.50,  +1.40,  -0.08
  9,     UK0009,       0,  0.354784, 2459486.633706700988,  55.35464,  -9.36426,              180.04209,  29.37465,       180.04319,       29.37693,     55.35464,      -9.36426,      55.35515,       -9.36198,  2381272.71,  3450760.31,  4920038.47,      49.750843,       -0.849874,   98360.72,  195741.38,   24314.56,            24324.03,  -739.90,  57435.61,           69149.33,     -7.93,     -2.86,           8.89,  +3.04,  +1.58
  0,     UK0038,       1,  0.026222, 2459486.633702898398,  84.10346,  -8.14289,              146.60985,  25.04621,       146.66169,       25.10673,     84.10346,      -8.14289,      84.03788,       -8.10241,  2379716.79,  3473046.26,  4923117.63,      49.650530,       -0.658814,  112016.69,  253989.17,       0.00,             1772.63,   -88.51,      0.00,           65329.20,   -327.77,     88.74,         275.77,  +4.96,  +2.94
  1,     UK0038,       1,  0.066302, 2459486.633703362197,  83.94845,  -8.29076,              146.82516,  24.96059,       146.84360,       24.98220,     83.94845,      -8.29076,      83.92533,       -8.27626,  2379909.55,  3470285.32,  4922736.16,      49.662951,       -0.682396,  110322.26,  251339.99,    2793.82,             4566.45,  -125.11,  69706.09,           65329.20,   -115.77,     31.00,          98.35,  +3.56,  +1.56
  2,     UK0038,       1,  0.106406, 2459486.633703826461,  83.84440,  -8.45455,              146.99392,  24.84231,       147.01374,       24.86550,     83.84440,      -8.45455,      83.81970,       -8.43896,  2380086.35,  3467752.94,  4922386.27,      49.674346,       -0.704061,  108768.75,  248912.55,    5356.37,             7129.00,  -394.68,  63897.55,           65329.20,   -123.17,     32.98,         105.66,  +3.08,  +1.10
  3,     UK0038,       1,  0.146534, 2459486.633704290725,  83.76741,  -8.63588,              147.14122,  24.69812,       147.18423,       24.74819,     83.76741,      -8.63588,      83.71356,       -8.60223,  2380260.40,  3465259.92,  4922041.82,      49.685565,       -0.725411,  107240.00,  246525.57,    7879.08,             9651.71,  -705.77,  62866.64,           65329.20,   -263.80,     71.11,         228.60,  +2.79,  +0.83
  4,     UK0038,       1,  0.186670, 2459486.633704755455,  83.61585,  -8.85097,              147.37692,  24.54717,       147.41309,       24.58923,     83.61585,      -8.85097,      83.57084,       -8.82262,  2380490.24,  3461967.85,  4921586.97,      49.700382,       -0.753581,  105222.20,  243379.78,   11210.36,            12983.00,  -208.86,  82999.88,           68572.10,   -219.03,     58.89,         192.22,  +2.20,  +0.27
  5,     UK0038,       1,  0.226810, 2459486.633705219720,  83.49740,  -9.06582,              147.57805,  24.38487,       147.62624,       24.44073,     83.49740,      -9.06582,      83.43737,       -9.02813,  2380699.37,  3458972.45,  4921173.11,      49.713866,       -0.779258,  103387.17,  240521.49,   14241.44,            16014.07,   -12.44,  75512.60,           70490.31,   -287.93,     77.65,         255.74,  +2.09,  +0.18
  6,     UK0038,       1,  0.266934, 2459486.633705684450,  83.37149,  -9.25766,              147.77760,  24.24637,       147.82536,       24.30165,     83.37149,      -9.25766,      83.31220,       -9.22029,  2380890.55,  3456234.11,  4920794.76,      49.726194,       -0.802770,  101710.37,  237911.90,   17012.39,            18785.03,   -75.01,  69059.77,           71021.75,   -282.11,     76.03,         253.31,  +2.03,  +0.15
  7,     UK0038,       1,  0.307038, 2459486.633706148248,  83.20700,  -9.44141,              148.01291,  24.12791,       148.03553,       24.15413,     83.20700,      -9.44141,      83.17965,       -9.42362,  2381088.43,  3453399.76,  4920403.15,      49.738957,       -0.827126,   99975.57,  235215.09,   19880.51,            21653.14,   -39.02,  71516.88,           71284.37,   -132.36,     35.39,         120.15,  +2.64,  +0.78
  0,     UK003N,       1,  0.045907, 2459486.633703136351,  45.80588,  -7.33622,              191.87688,  30.76148,       191.85124,       30.71206,     45.80588,      -7.33622,      45.82164,       -7.38807,  2379828.95,  3471439.68,  4922895.65,      49.657757,       -0.672522,  111030.62,  212159.81,       0.00,             3398.35,   147.05,      0.00,           69915.37,    178.74,     90.50,         194.78,  +4.76,  +3.13
  1,     UK003N,       0,  0.086203, 2459486.633703602944,  45.28376,  -7.55043,              192.44005,  30.48031,       192.44218,       30.48435,     45.28376,      -7.55043,      45.28285,       -7.54618,  2380011.27,  3468828.28,  4922534.85,      49.669507,       -0.694849,  109428.35,  210486.95,    2642.50,             6040.85,   -56.12,  65577.27,           69915.37,    -14.54,     -7.34,          15.96,  +2.66,  +1.04
  2,     UK003N,       0,  0.126495, 2459486.633704069071,  44.66561,  -7.72911,              193.11411,  30.21779,       193.11540,       30.22021,     44.66561,      -7.72911,      44.66538,       -7.72655,  2380216.70,  3465885.80,  4922128.30,      49.682748,       -0.720011,  107623.75,  208625.94,    5620.03,             9018.38,    76.01,  73898.73,           69915.37,     -8.67,     -4.37,           9.60,  +2.09,  +0.49
  3,     UK003N,       0,  0.166775, 2459486.633704535197,  44.07927,  -7.90065,              193.74910,  29.96284,       193.75103,       29.96642,     44.07927,      -7.90065,      44.07885,       -7.89685,  2380408.30,  3463141.48,  4921749.13,      49.695099,       -0.743515,  105941.44,  206914.13,    8397.04,            11795.39,     8.48,  68942.59,           69915.37,    -12.74,     -6.43,          14.22,  +1.91,  +0.33
  4,     UK003N,       0,  0.207035, 2459486.633705001324,  43.51446,  -8.05882,              194.35831,  29.72066,       194.35798,       29.72006,     43.51446,      -8.05882,      43.51552,       -8.05946,  2380589.20,  3460550.40,  4921391.13,      49.706762,       -0.765738,  104353.73,  205319.60,   11018.98,            14417.33,  -212.71,  65125.32,           68993.60,      2.14,      1.08,           2.41,  +1.71,  +0.15
  5,     UK003N,       0,  0.247339, 2459486.633705467917,  42.88482,  -8.24841,              195.03071,  29.43352,       195.03461,       29.44058,     42.88482,      -8.24841,      42.88365,       -8.24089,  2380788.78,  3457691.75,  4920996.16,      49.719632,       -0.790263,  102602.85,  203585.03,   13911.68,            17310.03,  -166.25,  71771.97,           69127.22,    -24.84,    -12.54,          28.20,  +1.67,  +0.13
  6,     UK003N,       0,  0.287611, 2459486.633705934044,  42.29052,  -8.41047,              195.66439,  29.17528,       195.66475,       29.17592,     42.29052,      -8.41047,      42.29152,       -8.40978,  2380972.55,  3455059.56,  4920632.48,      49.731483,       -0.812881,  100991.37,  202011.73,   16575.22,            19973.57,  -346.68,  66138.78,           68854.85,     -2.25,     -1.14,           2.57,  +2.03,  +0.50
  7,     UK003N,       0,  0.327919, 2459486.633706400637,  41.65509,  -8.60457,              196.33333,  28.87449,       196.34051,       28.88720,     41.65509,      -8.60457,      41.65250,       -8.59095,  2381167.63,  3452265.44,  4920246.43,      49.744065,       -0.836905,   99281.49,  200366.89,   19402.62,            22800.97,  -365.80,  70144.89,           68848.92,    -44.25,    -22.33,          51.02,  +2.24,  +0.73

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.