Orbital Analysis for matched events on 20210929_001915.137_UK

Summary for Event
-----------------
shower ID 715 ACL
Lg 78.24° Bg 39.05° Vg 56.89km/s
mass 0.01894g, abs. mag -0.3
Path Details
------------
start 0.07° 50.25° 108.13km
end   -0.01° 50.20° 96.07km

Orbit Details
-------------
Semimajor axis 6.24A.U., eccentricity 0.86, inclination 109.08°, Period 15.60Y, LA Sun 185.79°, last Perihelion 2006-03-24

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: 2459486.513369652443
Time: 2021-09-29 00:19:15.139701 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK002C
 Convergence angle = 8.07958 deg
 R.A. =  69.64223  Dec = +58.83871 deg
Intersection 2 - Stations: UK0001 and UK002D
 Convergence angle = 7.66103 deg
 R.A. =  72.75367  Dec = +64.30697 deg
Intersection 3 - Stations: UK002C and UK002D
 Convergence angle = 0.88075 deg
 R.A. =  51.03694  Dec =  +1.80743 deg

Best intersection: Stations UK0001 and UK002C with Qconv = 8.08 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4051426.54 +/- 275.81 m
 Y =    925857.39 +/- 381.27 m
 Z =   4963717.21 +/- 107.37 m
 Vx =     9229.07 +/- 2284.86 m/s
 Vy =    25815.65 +/- 3070.48 m/s
 Vz =    51066.64 +/- 2926.48 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.949500e+04, +9.383630e+04, +5.583251e+03, +4.009697e+05, +5.171363e+05, +1.903503e+04
+9.383630e+04, +1.309069e+05, +1.157364e+04, +5.165957e+05, +6.830231e+05, +2.442028e+04
+5.583251e+03, +1.157364e+04, +1.144587e+04, +6.804447e+03, +1.305056e+04, +1.283158e+03
+4.009697e+05, +5.165957e+05, +6.804447e+03, +3.419261e+06, +4.460749e+06, +5.687634e+04
+5.171363e+05, +6.830231e+05, +1.305056e+04, +4.460749e+06, +5.956255e+06, +5.545238e+04
+1.903503e+04, +2.442028e+04, +1.283158e+03, +5.687634e+04, +5.545238e+04, +1.059546e+04

Timing offsets (from input data):
    UK0001: -0.001784 s
    UK002C: 0.000000 s
    UK002D: 0.000133 s

Reference point on the trajectory:
  Time: 2021-09-29 00:19:15.139701 UTC
  Lon     = ++0.071077 +/- 0.0043 deg
  Lat     = +50.248404 +/- 0.0024 deg
  Lat geo = +50.062250 +/- 0.0024 deg
  Ht      =  108190.08 +/- 250.69 m

  JD dynamic   = 2459486.514170413371 
  LST apparent = 12.8725425739 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  70.32807 +/- 2.7598 deg
  Dec       = +61.77032 +/- 3.1316 deg
  Azimuth   =  47.31320 +/- 5.8453 deg
  Elevation = +57.15001 +/- 0.8948 deg
  Vavg      =  58.53619 +/- 1.8591 km/s
  Vinit     =  57.96055 +/- 1.6851 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  70.66563 +/- 2.7598 deg
  Dec       = +61.54787 +/- 3.1316 deg
  Azimuth   =  47.68499 +/- 5.8453 deg
  Elevation = +56.96484 +/- 0.8948 deg
  Vavg      =  58.65769 +/- 1.8591 km/s
  Vinit     =  58.08205 +/- 1.6851 km/s
Radiant (geocentric, J2000):
  R.A.   =  70.50192 +/- 2.8982 deg
  Dec    = +61.69482 +/- 3.1295 deg
  Vg     =  56.88836 +/- 1.7170 km/s
  Vinf   =  57.96055 +/- 1.6851 km/s
  Zc     =  32.97646 +/- 0.9208 deg
  Zg     =  33.29310 +/- 0.9489 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  78.24099 +/- 2.2995 deg
  Bg     = +39.05067 +/- 2.8954 deg
  Vh     =  40.35899 +/- 0.6535 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  47.71701 +/- 1.1074 deg
  Bh     = +62.63407 +/- 5.2173 deg
  Vh_x   = -12.48158 +/- 2.2635 km/s
  Vh_y   = -13.72526 +/- 2.7718 km/s
  Vh_z   = -35.84237 +/- 1.1002 km/s
Orbit:
  La Sun = 185.789272 +/- 0.0000 deg
  a      =   6.242114 +/- 4.1930 AU
  e      =   0.859823 +/- 0.0563
  i      = 109.077974 +/- 4.1128 deg
  peri   = 223.437167 +/- 6.4094 deg
  node   = 185.789828 +/- 0.0001 deg
  Pi     =  49.226995 +/- 6.4093 deg
  q      =   0.875001 +/- 0.0355 AU
  f      = 316.561746 +/- 6.4094 deg
  M      = 358.165633 +/- nan deg
  Q      =  11.609227 +/- 8.3773 AU
  n      =   0.063199 +/- 0.0260 deg/day
  T      =  15.595460 +/- 182465605.3831 years
  Last perihelion JD = 2453819.198842 (2006-03-24 16:46:19.986276) +/- 2311.9705 days
  Tj     =   0.468186 +/- 0.3789
Shower association:
  IAU No.  =  715
  IAU code =  ACL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.543949e-03, -1.066997e-03, -9.014418e+01, -4.011730e-08, +3.256774e-03, +2.019947e-03
q   , -1.066997e-03, +8.856398e-04, +5.980743e+01, +3.388025e-08, -2.865535e-03, -1.721050e-03
Tp  , -9.014418e+01, +5.980743e+01, +6.041437e+06, +2.319206e-03, -1.755534e+02, -1.157521e+02
node, -4.011730e-08, +3.388025e-08, +2.319206e-03, +1.318416e-12, -1.097215e-07, -6.694235e-08
peri, +3.256774e-03, -2.865535e-03, -1.755534e+02, -1.097215e-07, +9.465710e-03, +5.594532e-03
i   , +2.019947e-03, -1.721050e-03, -1.157521e+02, -6.694235e-08, +5.594532e-03, +3.401538e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 35.534414
 a2 = -0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 7.881e-07 s
  Stddev    = 8.88e-04 s

Begin point on the trajectory:
  Lon =     0.070716 +/- 0.0043 deg
  Lat =    50.248191 +/- 0.0024 deg
  Ht  = 108135.00 +/- 232.12 m
End point on the trajectory:
  Lon =    -0.009351 +/- 0.0055 deg
  Lat =    50.201365 +/- 0.0032 deg
  Ht  = 96069.18 +/- 280.89 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.000000,  85.242111,   106114.89,    96332.18,          0.015735,      1.29,     48.78,              52.26, 0.6254,    True,    True, {"ff_name": "FF_UK0001_20210929_001914_944_0532224.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   106106.02,    96229.34,          0.022797,      9.30,     81.96,              64.63, 0.8165,    True,    True, {"ff_name": "FF_UK002C_20210929_001909_801_0531968.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,  50.497587,   0.000000,   108135.00,    96069.18,          0.019054,      7.74,     68.83,              64.63, 0.8165,    True,    True, {"ff_name": "FF_UK002D_20210929_001908_550_0531456.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,     UK0001,       0,  0.038713, 2459486.513370119967,  59.30973,  12.00506,              117.09061,  34.90175,       117.10858,       34.91492,     59.30973,     +12.00506,      59.28983,      +12.00737,  4051033.19,   924757.11,  4961540.71,      50.240369,       +0.057333,  106114.89,  182344.63,       0.00,             2470.32,  -114.11,      0.00,           58189.84,    -62.89,      1.71,          71.16,  +1.70,  +0.40
  1,     UK0001,       0,  0.078797, 2459486.513370584231,  59.20222,  11.37395,              117.63491,  34.44458,       117.62766,       34.43928,     59.20222,     +11.37395,      59.21064,      +11.37301,  4050616.56,   923591.70,  4959235.37,      50.231852,       +0.042775,  103917.15,  180679.48,    2616.56,             5086.88,   179.15,  65276.82,           58189.84,     25.17,     -0.67,          28.74,  +1.65,  +0.37
  2,     UK0001,       0,  0.118893, 2459486.513371048030,  59.15114,  10.85984,              118.03859,  34.05027,       118.04331,       34.05371,     59.15114,     +10.85984,      59.14638,      +10.86045,  4050285.34,   922665.22,  4957402.69,      50.225075,       +0.031165,  102170.21,  179370.25,    4696.65,             7166.97,   -64.74,  51877.78,           58189.84,    -16.29,      0.44,          18.74,  +1.44,  +0.17
  3,     UK0001,       0,  0.158993, 2459486.513371512294,  59.08461,  10.26146,              118.51084,  33.59376,       118.52264,       33.60230,     59.08461,     +10.26146,      59.07214,      +10.26298,  4049905.29,   921602.14,  4955299.77,      50.217293,       +0.017863,  100165.90,  177887.47,    7083.46,             9553.78,    -2.15,  59521.47,           58189.84,    -40.40,      1.09,          46.86,  +0.83,  -0.42
  4,     UK0001,       0,  0.199073, 2459486.513371976092,  58.99299,   9.67252,              118.99650,  33.15728,       118.99194,       33.15399,     58.99299,      +9.67252,      58.99891,       +9.67194,  4049535.42,   920567.53,  4953253.19,      50.209714,       +0.004909,   98215.53,  176463.35,    9406.32,            11876.64,    -2.35,  57955.62,           58065.81,     15.51,     -0.41,          18.14,  +0.85,  -0.38
  5,     UK0001,       0,  0.239145, 2459486.513372439891,  58.89760,   9.09540,              119.47350,  32.73103,       119.44781,       32.71254,     58.89760,      +9.09540,      58.92722,       +9.09207,  4049178.22,   919568.36,  4951276.71,      50.202389,       -0.007610,   96332.18,  175106.07,   11649.62,            14119.94,   -81.64,  55981.82,           57732.81,     86.90,     -2.25,         102.40,  +1.34,  +0.12
  0,     UK002C,       1,  0.000000, 2459486.513369652443,  50.91484,   1.34945,              132.32178,  29.81979,       132.28840,       29.79737,     50.91484,      +1.34945,      50.95089,       +1.34294,  4051329.51,   925585.97,  4963180.30,      50.246422,       +0.067734,  107678.13,  211209.02,       0.00,              609.39,   268.77,      0.00,           56977.12,    134.16,     15.22,         131.86,  +5.54,  +3.92
  1,     UK002C,       0,  0.040264, 2459486.513370118570,  50.86180,   0.90043,              132.61395,  29.44572,       132.60798,       29.44172,     50.86180,      +0.90043,      50.86843,       +0.89927,  4051031.51,   924752.41,  4961531.40,      50.240335,       +0.057276,  106106.02,  210334.51,    1871.49,             2480.89,  -193.47,  46480.52,           56977.12,     23.93,      2.70,          23.62,  +1.92,  +0.31
  2,     UK002C,       0,  0.080604, 2459486.513370585162,  50.73285,   0.25694,              133.08277,  28.93270,       133.06762,       28.92258,     50.73285,      +0.25694,      50.74961,       +0.25398,  4050602.43,   923552.18,  4959157.20,      50.231563,       +0.042287,  103842.63,  209101.77,    4566.21,             5175.61,   163.13,  66800.20,           56977.12,     60.51,      6.84,          60.07,  +2.30,  +0.70
  3,     UK002C,       0,  0.120880, 2459486.513371051289,  50.61569,  -0.26937,              133.47465,  28.51721,       133.44203,       28.49546,     50.61569,      -0.26937,      50.65161,       -0.27576,  4050253.88,   922577.23,  4957228.62,      50.224431,       +0.030076,  102004.30,  208119.40,    6755.14,             7364.53,    17.63,  54348.13,           56977.12,    129.87,     14.74,         129.54,  +1.28,  -0.31
  4,     UK002C,       0,  0.161200, 2459486.513371518347,  50.52696,  -0.84002,              133.85731,  28.04820,       133.83976,       28.03653,     50.52696,      -0.84002,      50.54672,       -0.84347,  4049883.94,   921542.43,  4955181.66,      50.216856,       +0.017123,  100053.34,  207097.48,    9078.44,             9687.83,     3.96,  57621.55,           57170.89,     69.65,      7.89,          69.81,  +1.13,  -0.45
  5,     UK002C,       0,  0.201504, 2459486.513371984474,  50.40993,  -1.41343,              134.26655,  27.58832,       134.23935,       27.57028,     50.40993,      -1.41343,      50.44041,       -1.41879,  4049512.69,   920503.95,  4953127.43,      50.209248,       +0.004120,   98095.69,  206093.32,   11409.99,            12019.38,    -0.53,  57849.13,           57323.13,    107.62,     12.21,         108.40,  +0.92,  -0.65
  6,     UK002C,       0,  0.241816, 2459486.513372451067,  50.32233,  -1.96989,              134.63424,  27.12934,       134.62089,       27.12050,     50.32233,      -1.96989,      50.33792,       -1.97252,  4049158.71,   919513.80,  4951168.78,      50.201988,       -0.008288,   96229.34,  205155.72,   13633.05,            14242.44,  -113.97,  55146.34,           57144.22,     52.69,      5.97,          53.31,  +1.08,  -0.48
  0,     UK002D,       0,  0.001894, 2459486.513369672466,  50.98974,   1.46852,              132.18174,  29.89075,       132.19649,       29.90067,     50.98974,      +1.46852,      50.97381,       +1.47139,  4051416.10,   925828.19,  4963659.44,      50.248191,       +0.070716,  108135.00,  211463.57,       0.00,               65.56,  -384.84,      0.00,           60659.52,    -59.36,     -6.67,          58.26,  +2.94,  +1.31
  1,     UK002D,       0,  0.042438, 2459486.513370141853,  50.84068,   0.82567,              132.67492,  29.38902,       132.66236,       29.38060,     50.84068,      +0.82567,      50.85444,       +0.82322,  4050980.53,   924609.82,  4961249.35,      50.239293,       +0.055507,  105837.12,  210187.64,    2735.45,             2801.01,     0.65,  67468.70,           60659.52,     50.32,      5.69,          49.70,  +1.76,  +0.15
  2,     UK002D,       0,  0.082926, 2459486.513370610308,  50.77565,   0.25977,              133.03778,  28.91569,       133.06069,       28.93100,     50.77565,      +0.25977,      50.75118,       +0.26424,  4050609.07,   923570.76,  4959193.96,      50.231699,       +0.042507,  103877.67,  209120.61,    5068.32,             5133.88,   -13.18,  57618.75,           60659.52,    -91.49,    -10.27,          90.81,  +1.35,  -0.25
  3,     UK002D,       0,  0.123406, 2459486.513371078763,  50.66343,  -0.30614,              133.44521,  28.46279,       133.46136,       28.47356,     50.66343,      -0.30614,      50.64640,       -0.30298,  4050235.92,   922526.98,  4957129.23,      50.224064,       +0.029446,  101909.56,  208069.69,    7411.78,             7477.34,   -15.97,  57891.79,           60659.52,    -64.33,     -7.24,          64.17,  +1.28,  -0.31
  4,     UK002D,       0,  0.163906, 2459486.513371547684,  50.56798,  -0.88959,              133.84112,  27.98547,       133.86833,       28.00357,     50.56798,      -0.88959,      50.53906,       -0.88426,  4049857.36,   921468.07,  4955034.57,      50.216312,       +0.016193,   99913.16,  207025.40,    9789.21,             9854.78,    14.07,  58702.10,           59889.97,   -108.01,    -12.13,         108.29,  +0.94,  -0.64
  5,     UK002D,       0,  0.204402, 2459486.513372016139,  50.44344,  -1.47109,              134.26185,  27.52178,       134.27397,       27.52981,     50.44344,      -1.47109,      50.43108,       -1.46871,  4049480.50,   920413.92,  4952949.33,      50.208588,       +0.002996,   97925.98,  206007.88,   12155.96,            12221.52,    33.64,  58443.98,           59463.50,    -47.93,     -5.40,          48.30,  +0.89,  -0.68
  6,     UK002D,       0,  0.244874, 2459486.513372484595,  50.33495,  -2.02131,              134.64724,  27.07767,       134.65361,       27.08189,     50.33495,      -2.02131,      50.32901,       -2.02006,  4049128.33,   919428.83,  4951000.69,      50.201365,       -0.009351,   96069.18,  205076.75,   14367.66,            14433.23,  -100.43,  54647.72,           58795.56,    -25.15,     -2.84,          25.46,  +1.33,  -0.23

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.