Orbital Analysis for matched events on 20210816_015604.025_UK

Summary for Event
-----------------
shower ID 640 AOA
Lg 347.39° Bg -9.66° Vg 36.33km/s
mass 0.08291g, abs. mag -0.2
Path Details
------------
start 1.43° 52.13° 94.02km
end   1.44° 52.29° 85.54km

Orbit Details
-------------
Semimajor axis 2.16A.U., eccentricity 0.93, inclination 22.53°, Period 3.18Y, LA Sun 143.15°, last Perihelion 2018-07-19

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: 2459442.580602151807
Time: 2021-08-16 01:56:04.025916 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK0032
 Convergence angle = 3.79388 deg
 R.A. = 352.82959  Dec = -12.27259 deg

Best intersection: Stations UK002F and UK0032 with Qconv = 3.79 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3966746.55 +/- 316.20 m
 Y =   -337499.58 +/- 972.25 m
 Z =   5086109.17 +/- 411.48 m
 Vx =    36828.22 +/- 2497.23 m/s
 Vy =    -4787.26 +/- 2508.83 m/s
 Vz =    -7990.91 +/- 789.80 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.620746e+04, +1.101273e+05, +4.754186e+04, +7.886754e+04, +1.501823e+05, +5.729270e+04
+1.101273e+05, +3.913609e+05, +1.683859e+05, +2.825271e+05, +5.605316e+05, +2.115902e+05
+4.754186e+04, +1.683859e+05, +7.362526e+04, +1.136103e+05, +2.353353e+05, +9.216740e+04
+7.886754e+04, +2.825271e+05, +1.136103e+05, +1.069418e+06, +1.054523e+06, +3.221926e+05
+1.501823e+05, +5.605316e+05, +2.353353e+05, +1.054523e+06, +1.511150e+06, +5.318613e+05
+5.729270e+04, +2.115902e+05, +9.216740e+04, +3.221926e+05, +5.318613e+05, +2.021171e+05

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK0032: -0.025993 s

Reference point on the trajectory:
  Time: 2021-08-16 01:56:04.025916 UTC
  Lon     = ++1.433654 +/- 0.0143 deg
  Lat     = +52.132378 +/- 0.0010 deg
  Lat geo = +51.948452 +/- 0.0010 deg
  Ht      =   94011.14 +/- 460.74 m

  JD dynamic   = 2459442.581402892713 
  LST apparent = 355.1368603833 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 352.59372 +/- 4.3815 deg
  Dec       = -12.14306 +/- 1.8113 deg
  Azimuth   = 182.75905 +/- 4.5696 deg
  Elevation = +25.68698 +/- 2.0367 deg
  Vavg      =  37.72711 +/- 1.4366 km/s
  Vinit     =  37.98803 +/- 1.8057 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 353.04130 +/- 4.3815 deg
  Dec       = -12.14679 +/- 1.8113 deg
  Azimuth   = 182.27355 +/- 4.5696 deg
  Elevation = +25.69531 +/- 2.0367 deg
  Vavg      =  37.71563 +/- 1.4366 km/s
  Vinit     =  37.97654 +/- 1.8057 km/s
Radiant (geocentric, J2000):
  R.A.   = 352.26256 +/- 4.4806 deg
  Dec    = -13.86578 +/- 1.9886 deg
  Vg     =  36.32722 +/- 1.8891 km/s
  Vinf   =  37.98803 +/- 1.8057 km/s
  Zc     =  64.12931 +/- 2.0380 deg
  Zg     =  65.73346 +/- 2.2207 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 347.38813 +/- 4.8308 deg
  Bg     =  -9.66489 +/- 0.1612 deg
  Vh     =  36.62715 +/- 1.4817 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 299.12175 +/- 5.0300 deg
  Bh     =  -9.58489 +/- 0.5873 deg
  Vh_x   = -17.57638 +/- 2.4137 km/s
  Vh_y   =  31.55034 +/- 2.6453 km/s
  Vh_z   =   6.09874 +/- 0.2606 km/s
Orbit:
  La Sun = 143.147671 +/- 0.0000 deg
  a      =   2.160926 +/- 29.8314 AU
  e      =   0.929738 +/- 0.0233
  i      =  22.531452 +/- 5.9661 deg
  peri   = 139.859990 +/- 9.9645 deg
  node   = 323.141189 +/- 0.0021 deg
  Pi     = 103.001179 +/- 9.9666 deg
  q      =   0.151831 +/- 0.0619 AU
  f      = 220.148556 +/- 9.9664 deg
  M      = 348.569574 +/- nan deg
  Q      =   4.170021 +/- 59.6789 AU
  n      =   0.310274 +/- 0.0966 deg/day
  T      =   3.176584 +/- 182465605.9050 years
  Last perihelion JD = 2458319.153721 (2018-07-19 15:41:21.457271) +/- 7721.5719 days
  Tj     =   2.846675 +/- 0.6030
Shower association:
  IAU No.  =  640
  IAU code =  AOA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.942327e-05, -9.115681e-05, -9.097452e+00, +6.649423e-08, +1.972954e-04, +1.827781e-04
q   , -9.115681e-05, +8.133369e-04, -2.425883e+01, -4.765312e-07, -2.289184e-03, -1.186518e-03
Tp  , -9.097452e+00, -2.425883e+01, +5.719524e+06, +1.144748e-02, +7.680340e+01, +2.553612e+01
node, +6.649423e-08, -4.765312e-07, +1.144748e-02, +2.872473e-10, +1.335005e-06, +7.327438e-07
peri, +1.972954e-04, -2.289184e-03, +7.680340e+01, +1.335005e-06, +6.554616e-03, +3.392184e-03
i   , +1.827781e-04, -1.186518e-03, +2.553612e+01, +7.327438e-07, +3.392184e-03, +2.058831e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.040882
 a2 = 17.239004

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 9.546e-06 s
  Stddev    = 3.09e-03 s

Begin point on the trajectory:
  Lon =     1.433643 +/- 0.0142 deg
  Lat =    52.132237 +/- 0.0008 deg
  Ht  = 94018.84 +/- 456.17 m
End point on the trajectory:
  Lon =     1.443327 +/- 0.0102 deg
  Lat =    52.288724 +/- 0.0050 deg
  Ht  = 85544.11 +/- 639.97 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
    UK002F,   False,    -1.306160,    51.883100,   80.00,  57.858116,   0.000001,    94018.84,    86144.70,          0.019825,     63.01,     38.30,              88.75, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210816_015603_987_0521728.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   1.507928,   8.941955,    93402.53,    85544.11,          0.022612,     51.60,     36.33,              44.03, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210816_015557_692_0526336.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,     UK002F,       0,  0.000000, 2459442.580602151807,  73.05880,  25.34321,               80.52454,  25.29516,        80.53950,       25.26894,     73.05880,     +25.34321,      73.06728,      +25.31472,  3966763.78,  -337501.82,  5086105.43,      52.132237,       +1.433643,   94018.84,  213334.82,       0.00,               17.77,  -308.00,      0.00,           39033.77,     57.06,    -93.86,         106.21,  +4.02,  +2.37
  1,     UK002F,       0,  0.080508, 2459442.580603083596,  74.03070,  25.59485,               79.62119,  24.89025,        79.64421,       24.85042,     74.03070,     +25.59485,      74.04364,      +25.55134,  3963465.08,  -337073.02,  5086821.17,      52.159368,       +1.435432,   92544.65,  213149.58,    3402.59,             3384.81,     0.70,  42263.96,           39033.77,     86.87,   -143.00,         161.91,  +2.21,  +0.57
  2,     UK002F,       0,  0.120756, 2459442.580603549257,  74.46779,  25.66357,               79.24920,  24.67584,        79.25489,       24.66606,     74.46779,     +25.66357,      74.47136,      +25.65285,  3962025.47,  -336885.89,  5087133.54,      52.171213,       +1.436193,   91901.72,  213084.40,    4887.53,             4869.76,   -43.29,  36894.93,           39033.77,     21.39,    -35.17,          39.84,  +1.71,  +0.07
  3,     UK002F,       0,  0.160984, 2459442.580604014918,  74.86915,  25.72266,               78.91120,  24.47631,        78.89941,       24.49650,     74.86915,     +25.72266,      74.86356,      +25.74482,  3960708.14,  -336714.65,  5087419.37,      52.182053,       +1.436876,   91313.63,  213032.92,    6246.35,             6228.57,  -212.66,  33777.84,           39033.77,    -44.21,     72.61,          82.31,  +1.23,  -0.41
  4,     UK002F,       0,  0.201236, 2459442.580604481045,  75.35348,  25.84358,               78.46748,  24.27268,        78.46031,       24.28489,     75.35348,     +25.84358,      75.35058,      +25.85701,  3959076.28,  -336502.53,  5087773.45,      52.195485,       +1.437762,   90585.43,  212983.61,    7929.60,             7911.82,   -58.50,  41817.78,           38943.13,    -26.77,     43.98,          49.86,  +1.19,  -0.45
  5,     UK002F,       0,  0.241484, 2459442.580604946706,  75.83580,  25.96070,               78.02898,  24.06795,        78.02570,       24.07351,     75.83580,     +25.96070,      75.83513,      +25.96683,  3957456.39,  -336291.96,  5088124.93,      52.208820,       +1.438641,   89862.92,  212947.75,    9600.50,             9582.73,    83.46,  41515.22,           39204.13,    -12.20,     20.04,          22.72,  +1.24,  -0.40
  6,     UK002F,       0,  0.281716, 2459442.580605412368,  76.27845,  26.05519,               77.63690,  23.87089,        77.63137,       23.88019,     76.27845,     +26.05519,      76.27684,      +26.06548,  3955982.58,  -336100.38,  5088444.71,      52.220956,       +1.439427,   89205.85,  212925.56,   11120.73,            11102.95,    75.35,  37786.45,           39185.19,    -20.45,     33.61,          38.11,  +1.58,  -0.06
  7,     UK002F,       0,  0.321948, 2459442.580605878029,  76.73766,  26.17396,               77.21572,  23.68229,        77.21925,       23.67638,     76.73766,     +26.17396,      76.74076,      +26.16740,  3954437.66,  -335899.56,  5088779.93,      52.233680,       +1.440260,   88517.37,  212914.45,   12714.30,            12696.53,   140.59,  39609.66,           39207.27,     13.02,    -21.40,          24.27,  +1.29,  -0.35
  8,     UK002F,       0,  0.362164, 2459442.580606343690,  77.15700,  26.26650,               76.84346,  23.49871,        76.84786,       23.49138,     77.15700,     +26.26650,      77.16065,      +26.25836,  3953041.59,  -335718.09,  5089082.84,      52.245181,       +1.440997,   87895.48,  212913.66,   14154.33,            14136.56,    52.89,  35807.39,           39015.62,     16.15,    -26.56,          30.12,  +1.70,  +0.06
  9,     UK002F,       0,  0.402388, 2459442.580606808886,  77.58441,  26.34883,               76.47344,  23.30312,        76.47330,       23.30336,     77.58441,     +26.34883,      77.58602,      +26.34909,  3951629.51,  -335534.53,  5089389.23,      52.256815,       +1.441745,   87266.71,  212922.90,   15610.88,            15593.11,   -18.59,  36210.93,           38773.16,     -0.53,      0.87,           0.99,  +1.94,  +0.30
 10,     UK002F,       0,  0.442624, 2459442.580607274547,  78.04717,  26.45088,               76.06410,  23.10145,        76.06654,       23.09742,     78.04717,     +26.45088,      78.05017,      +26.44638,  3950091.04,  -335334.55,  5089723.04,      52.269493,       +1.442575,   86581.95,  212945.22,   17197.80,            17180.03,    39.85,  39440.33,           38663.62,      8.90,    -14.64,          16.60,  +2.78,  +1.14
 11,     UK002F,       0,  0.482764, 2459442.580607739277,  78.33835,  26.53398,               75.79319,  22.98887,        75.80719,       22.96583,     78.33835,     +26.53398,      78.34688,      +26.50822,  3949108.42,  -335206.82,  5089936.25,      52.277592,       +1.443046,   86144.70,  212961.92,   18211.36,            18193.59,  -471.43,  25250.66,           38116.38,     50.97,    -83.89,          95.07,  +4.22,  +2.58
  0,     UK0032,       0,  0.027823, 2459442.580603815150,  31.52112,   5.85177,              132.83856,  33.66701,       132.83882,       33.65780,     31.52112,      +5.85177,      31.52564,       +5.84342,  3965385.08,  -337322.60,  5086404.58,      52.143575,       +1.433930,   93402.53,  165858.03,       0.00,             1404.34,    21.62,      0.00,           37652.97,     15.33,    -21.81,          33.16,  +3.20,  +2.10
  1,     UK0032,       0,  0.067983, 2459442.580604279879,  31.81247,   5.93675,              132.48141,  33.61412,       132.48017,       33.65196,     31.81247,      +5.93675,      31.79718,       +5.97108,  3964144.35,  -337161.32,  5086673.79,      52.153780,       +1.434562,   92848.10,  164912.58,    1279.80,             2684.14,  -224.18,  31867.51,           37652.97,    -62.76,     89.08,         136.29,  +3.95,  +2.86
  2,     UK0032,       0,  0.108139, 2459442.580604744609,  32.19417,   6.14743,              131.96051,  33.63225,       131.96017,       33.64096,     32.19417,      +6.14743,      32.19141,       +6.15533,  3962374.84,  -336931.31,  5087057.73,      52.168338,       +1.435536,   92057.73,  163575.01,    3105.04,             4509.38,    75.61,  45453.76,           37652.97,    -14.32,     20.35,          31.37,  +2.46,  +1.39
  3,     UK0032,       0,  0.148295, 2459442.580605209339,  32.49646,   6.25629,              131.57952,  33.59365,       131.57787,       33.63193,     32.49646,      +6.25629,      32.48135,       +6.29104,  3961088.67,  -336764.12,  5087336.80,      52.178922,       +1.436199,   91483.48,  162606.82,    4431.72,             5836.06,  -123.16,  33038.04,           37652.97,    -62.61,     88.87,         137.90,  +2.45,  +1.39
  4,     UK0032,       0,  0.188439, 2459442.580605674069,  32.85556,   6.46048,              131.08640,  33.61316,       131.08616,       33.61814,     32.85556,      +6.46048,      32.85472,       +6.46500,  3959459.11,  -336552.29,  5087690.38,      52.192333,       +1.437084,   90756.24,  161389.35,    6112.59,             7516.94,    32.72,  41871.17,           38294.87,     -8.07,     11.48,          17.94,  +1.87,  +0.83
  5,     UK0032,       0,  0.228607, 2459442.580606138799,  33.20590,   6.60638,              130.63471,  33.58332,       130.63361,       33.60388,     33.20590,      +6.60638,      33.19864,       +6.62506,  3957979.22,  -336359.92,  5088011.48,      52.204516,       +1.437873,   90096.08,  160290.29,    7639.09,             9043.43,    33.32,  38002.78,           38436.57,    -33.13,     47.07,          74.07,  +1.61,  +0.59
  6,     UK0032,       0,  0.268739, 2459442.580606603529,  33.53558,   6.78751,              130.18568,  33.59287,       130.18595,       33.58818,     33.53558,      +6.78751,      33.53917,       +6.78324,  3956534.21,  -336172.09,  5088325.02,      52.216414,       +1.438640,   89451.75,  159223.75,    9129.60,            10533.95,    -0.70,  37140.36,           38348.38,      7.51,    -10.68,          16.92,  +1.47,  +0.46
  7,     UK0032,       0,  0.308903, 2459442.580607068259,  33.87471,   6.92111,              129.75332,  33.55470,       129.75225,       33.57149,     33.87471,      +6.92111,      33.86939,       +6.93638,  3955151.46,  -335992.35,  5088625.04,      52.227801,       +1.439368,   88835.41,  158209.26,   10555.90,            11960.24,  -100.16,  35511.78,           38075.18,    -26.72,     37.98,          60.54,  +1.55,  +0.55
  8,     UK0032,       0,  0.349083, 2459442.580607533455,  34.25969,   7.08686,              129.25513,  33.52235,       129.25319,       33.55019,     34.25969,      +7.08686,      34.24989,       +7.11220,  3953582.60,  -335788.41,  5088965.45,      52.240724,       +1.440216,   88136.44,  157066.94,   12174.17,            13578.51,    -8.25,  40275.44,           38094.47,    -44.00,     62.52,         100.40,  +1.44,  +0.46
  9,     UK0032,       0,  0.389243, 2459442.580607998185,  34.61506,   7.25254,              128.78850,  33.50224,       128.78652,       33.52858,     34.61506,      +7.25254,      34.60608,       +7.27652,  3952134.38,  -335600.16,  5089279.69,      52.252655,       +1.440988,   87491.48,  156019.36,   13668.00,            15072.34,   -40.02,  37196.98,           38055.33,    -41.34,     58.75,          94.98,  +1.69,  +0.72
 10,     UK0032,       0,  0.429427, 2459442.580608463380,  35.01907,   7.42916,              128.26513,  33.46740,       128.26232,       33.50201,     35.01907,      +7.42916,      35.00678,       +7.46070,  3950530.58,  -335391.68,  5089627.67,      52.265871,       +1.441861,   86777.56,  154868.57,   15322.30,            16726.64,    87.77,  41168.20,           38175.58,    -53.98,     76.68,         124.89,  +2.08,  +1.13
 11,     UK0032,       0,  0.469539, 2459442.580608927645,  35.29512,   7.58182,              127.88947,  33.47067,       127.88849,       33.48221,     35.29512,      +7.58182,      35.29271,       +7.59234,  3949397.71,  -335244.42,  5089873.48,      52.275208,       +1.442429,   86273.42,  154059.01,   16490.85,            17895.19,  -267.45,  29132.17,           37897.53,    -17.89,     25.44,          41.64,  +2.41,  +1.47
 12,     UK0032,       0,  0.509711, 2459442.580609392375,  35.70907,   7.78902,              127.33889,  33.45489,       127.33931,       33.45029,     35.70907,      +7.78902,      35.71362,       +7.78483,  3947758.03,  -335031.28,  5090229.26,      52.288724,       +1.443327,   85544.11,  152898.88,   18182.17,            19586.51,  -102.19,  42101.84,           37868.12,      7.08,    -10.07,          16.60,  +3.80,  +2.88

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.