Orbital Analysis for matched events on 20210929_225707.005_UK

Summary for Event
-----------------
shower ID 715 ACL
Lg 76.62° Bg 34.67° Vg 57.09km/s
mass 0.01140g, abs. mag 0.2
Path Details
------------
start -4.57° 50.95° 106.65km
end   -4.69° 50.88° 94.65km

Orbit Details
-------------
Semimajor axis 3.78A.U., eccentricity 0.79, inclination 113.85°, Period 7.35Y, LA Sun 186.72°, last Perihelion 2014-06-29

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: 2459487.456331080291
Time: 2021-09-29 22:57:07.046013 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003E
 Convergence angle = 6.97721 deg
 R.A. =  68.42773  Dec = +57.94702 deg

Best intersection: Stations UK0024 and UK003E with Qconv = 6.98 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4013679.36 +/- 80.23 m
 Y =   -805735.43 +/- 221.67 m
 Z =   5014979.29 +/- 157.74 m
 Vx =    11131.34 +/- 352.67 m/s
 Vy =    29286.22 +/- 1167.20 m/s
 Vz =    48995.19 +/- 617.18 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.041221e+03, -1.858860e+04, +1.340289e+04, +2.379402e+04, -8.322522e+04, +3.505523e+04
-1.858860e+04, +5.271277e+04, -3.692136e+04, -6.031429e+04, +2.223138e+05, -9.494458e+04
+1.340289e+04, -3.692136e+04, +2.666979e+04, +4.388837e+04, -1.605157e+05, +6.804924e+04
+2.379402e+04, -6.031429e+04, +4.388837e+04, +1.021672e+05, -3.568720e+05, +1.419774e+05
-8.322522e+04, +2.223138e+05, -1.605157e+05, -3.568720e+05, +1.313680e+06, -5.151710e+05
+3.505523e+04, -9.494458e+04, +6.804924e+04, +1.419774e+05, -5.151710e+05, +2.133875e+05

Timing offsets (from input data):
    UK0024: 0.000000 s
    UK003E: -0.000203 s

Reference point on the trajectory:
  Time: 2021-09-29 22:57:07.046013 UTC
  Lon     = +-4.548282 +/- 0.0028 deg
  Lat     = +50.960298 +/- 0.0001 deg
  Lat geo = +50.775049 +/- 0.0001 deg
  Ht      =  108372.36 +/- 198.28 m

  JD dynamic   = 2459487.457132291980 
  LST apparent = 348.6489012969 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  69.18880 +/- 1.4601 deg
  Dec       = +57.40283 +/- 1.0048 deg
  Azimuth   =  49.00448 +/- 0.9288 deg
  Elevation = +45.24574 +/- 1.0765 deg
  Vavg      =  57.92997 +/- 0.0664 km/s
  Vinit     =  58.15598 +/- 0.1217 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  69.27770 +/- 1.4601 deg
  Dec       = +57.15906 +/- 1.0048 deg
  Azimuth   =  49.27701 +/- 0.9288 deg
  Elevation = +45.08821 +/- 1.0765 deg
  Vavg      =  58.08915 +/- 0.0664 km/s
  Vinit     =  58.31516 +/- 0.1217 km/s
Radiant (geocentric, J2000):
  R.A.   =  69.45014 +/- 1.4506 deg
  Dec    = +57.15368 +/- 1.0189 deg
  Vg     =  57.08745 +/- 0.1240 km/s
  Vinf   =  58.15598 +/- 0.1217 km/s
  Zc     =  44.87596 +/- 1.0743 deg
  Zg     =  45.31470 +/- 1.0846 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  76.61548 +/- 0.6501 deg
  Bg     = +34.66690 +/- 1.1449 deg
  Vh     =  39.20246 +/- 0.5417 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  47.53748 +/- 2.2752 deg
  Bh     = +55.93061 +/- 1.0757 deg
  Vh_x   = -14.82610 +/- 0.3072 km/s
  Vh_y   = -16.20111 +/- 0.8665 km/s
  Vh_z   = -32.47374 +/- 0.8564 km/s
Orbit:
  La Sun = 186.715442 +/- nan deg
  a      =   3.781415 +/- 4.7988 AU
  e      =   0.789312 +/- 0.0393
  i      = 113.849705 +/- 1.7647 deg
  peri   = 237.569438 +/- 1.5196 deg
  node   = 186.715188 +/- 0.0000 deg
  Pi     =  64.284626 +/- 1.5195 deg
  q      =   0.796698 +/- 0.0055 AU
  f      = 302.429207 +/- 1.5196 deg
  M      = 355.113623 +/- 1.0144 deg
  Q      =   6.766132 +/- 9.5931 AU
  n      =   0.134036 +/- 0.0278 deg/day
  T      =   7.353298 +/- 27.1936 years
  Last perihelion JD = 2456838.073986 (2014-06-29 13:46:32.382708) +/- 9933.4793 days
  Tj     =   0.953036 +/- 0.2316
Shower association:
  IAU No.  =  715
  IAU code =  ACL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.577771e-03, +2.159007e-04, -2.427301e+02, +2.978795e-08, -1.066243e-03, -1.212871e-03
q   , +2.159007e-04, +3.136512e-05, -3.313472e+01, +4.054835e-09, -1.508072e-04, -1.650826e-04
Tp  , -2.427301e+02, -3.313472e+01, +6.989967e+07, -4.613145e-03, +1.592955e+02, +1.902292e+02
node, +2.978795e-08, +4.054835e-09, -4.613145e-03, +5.803163e-13, -2.006645e-08, -2.362921e-08
peri, -1.066243e-03, -1.508072e-04, +1.592955e+02, -2.006645e-08, +7.346771e-04, +8.165487e-04
i   , -1.212871e-03, -1.650826e-04, +1.902292e+02, -2.362921e-08, +8.165487e-04, +9.623555e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.267022
 a2 = 18.100185

Mean time residuals from time vs. length:
  Station with reference time: UK0024
  Avg. res. = 7.262e-06 s
  Stddev    = 2.69e-03 s

Begin point on the trajectory:
  Lon =    -4.566311 +/- 0.0024 deg
  Lat =    50.950398 +/- 0.0001 deg
  Ht  = 106651.21 +/- 164.66 m
End point on the trajectory:
  Lon =    -4.693405 +/- 0.0029 deg
  Lat =    50.881079 +/- 0.0004 deg
  Ht  = 94650.31 +/- 94.10 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
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,  64.147397,   106651.21,    95165.93,          0.007398,     14.42,     14.11,              79.80, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210929_225700_465_0406016.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   106517.06,    94650.31,          0.008688,     27.62,     21.12,              98.96, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210929_225701_355_0412416.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,     UK0024,       1,  0.000000, 2459487.456331080291, 287.74205,  34.94919,              275.33418,  43.09312,       275.31609,       43.10082,    287.74205,     +34.94919,     287.75960,      +34.94401,  4013685.07,  -805720.41,  5015004.42,      50.960419,       -4.547890,  108393.54,  157040.27,       0.00,               29.82,   -24.19,      0.00,           58707.66,    -29.32,     29.94,          55.04,  +5.74,  +4.76
  1,     UK0024,       0,  0.040684, 2459487.456331551075, 287.40292,  34.10241,              274.70070,  42.33255,       274.71083,       42.32826,    287.40292,     +34.10241,     287.39327,      +34.10530,  4013215.39,  -806956.11,  5012937.12,      50.950398,       -4.566311,  106651.21,  156731.05,    2453.82,             2424.00,     3.97,  60314.17,           58707.66,     16.51,    -16.87,          31.07,  +3.12,  +2.14
  2,     UK0024,       0,  0.081352, 2459487.456332021859, 287.05924,  33.29051,              274.12671,  41.58505,       274.14041,       41.57928,    287.05924,     +33.29051,     287.04631,      +33.29442,  4012763.56,  -808144.87,  5010948.35,      50.940750,       -4.584041,  104975.47,  156469.82,    4814.44,             4784.62,    -0.50,  58046.02,           58707.66,     22.46,    -22.96,          42.34,  +2.33,  +1.36
  3,     UK0024,       0,  0.122032, 2459487.456332492642, 286.69641,  32.48307,              273.59011,  40.82230,       273.58181,       40.82579,    286.69641,     +32.48307,     286.70496,      +32.48071,  4012312.09,  -809332.68,  5008961.16,      50.931102,       -4.601758,  103301.48,  156244.19,    7173.18,             7143.36,    -7.55,  57982.84,           58707.66,    -13.70,     14.00,          25.86,  +1.79,  +0.82
  4,     UK0024,       0,  0.162728, 2459487.456332963891, 286.35359,  31.62828,              273.01078,  40.03450,       273.01068,       40.03454,    286.35359,     +31.62828,     286.35437,      +31.62825,  4011840.88,  -810572.41,  5006887.13,      50.921023,       -4.620245,  101554.78,  156046.18,    9635.00,             9605.18,    87.56,  60492.95,           58970.35,     -0.17,      0.18,           0.33,  +1.67,  +0.70
  5,     UK0024,       0,  0.203380, 2459487.456333434209, 286.02446,  30.84231,              272.50522,  39.29592,       272.49440,       39.30044,    286.02446,     +30.84231,     286.03579,      +30.83923,  4011406.25,  -811715.90,  5004974.10,      50.911720,       -4.637311,   99944.05,  155898.66,   11905.72,            11875.90,    -5.88,  55857.52,           58601.01,    -18.11,     18.50,          34.25,  +1.23,  +0.27
  6,     UK0024,       0,  0.244052, 2459487.456333904993, 285.71002,  30.01256,              271.96313,  38.53167,       271.96598,       38.53048,    285.71002,     +30.01256,     285.70828,      +30.01337,  4010952.52,  -812909.66,  5002976.96,      50.902000,       -4.655121,   98262.92,  155779.61,   14276.27,            14246.45,    -0.64,  58284.68,           58435.19,      4.79,     -4.90,           9.07,  +1.37,  +0.41
  7,     UK0024,       0,  0.284728, 2459487.456334375776, 285.38220,  29.19839,              271.46156,  37.76451,       271.45482,       37.76731,    285.38220,     +29.19839,     285.38993,      +29.19648,  4010504.73,  -814087.79,  5001005.97,      50.892400,       -4.672703,   96604.22,  155697.73,   16615.78,            16585.95,   -26.70,  57515.53,           58289.45,    -11.45,     11.70,          21.68,  +1.55,  +0.59
  8,     UK0024,       0,  0.325300, 2459487.456334845163, 285.12292,  28.48456,              271.01258,  37.10570,       271.01964,       37.10277,    285.12292,     +28.48456,     285.11743,      +28.48657,  4010116.35,  -815109.59,  4999296.53,      50.884068,       -4.687975,   95165.93,  155656.52,   18644.84,            18615.02,  -357.14,  50011.44,           57671.11,     12.06,    -12.32,          22.84,  +2.60,  +1.64
  0,     UK003E,       0,  0.045035, 2459487.456331603229, 287.57044,  13.92119,              258.06392,  27.08432,       258.05606,       27.08673,    287.57044,     +13.92119,     287.57779,      +13.91866,  4013179.23,  -807051.26,  5012777.93,      50.949626,       -4.567735,  106517.06,  226765.28,       0.00,             2612.96,   -60.12,      0.00,           57786.50,    -17.80,     23.26,          26.64,  +3.17,  +1.39
  1,     UK003E,       0,  0.126175, 2459487.456332542468, 287.12740,  12.73490,              257.60736,  25.89009,       257.60139,       25.89192,    287.12740,     +12.73490,     287.13339,      +12.73297,  4012198.75,  -809630.88,  5008462.29,      50.928678,       -4.606182,  102881.31,  227902.56,    5122.55,             7735.51,   343.66,  63132.26,           57786.50,    -13.71,     17.92,          20.42,  +2.08,  +0.29
  2,     UK003E,       0,  0.166623, 2459487.456333010457, 286.96888,  12.26178,              257.41363,  25.42394,       257.42495,       25.42047,    286.96888,     +12.26178,     286.95918,      +12.26544,  4011809.62,  -810654.66,  5006749.53,      50.920354,       -4.621477,  101438.90,  228386.45,    7155.55,             9768.51,    24.36,  50262.06,           57786.50,     26.15,    -34.20,          38.88,  +2.01,  +0.22
  3,     UK003E,       0,  0.207111, 2459487.456333479378, 286.76782,  11.75877,              257.23739,  24.90795,       257.23495,       24.90869,    286.76782,     +11.75877,     286.77093,      +11.75798,  4011385.40,  -811770.77,  5004882.30,      50.911274,       -4.638138,   99866.77,  228932.59,    9371.90,            11984.85,  -113.91,  54740.76,           57786.50,     -5.67,      7.41,           8.40,  +1.50,  -0.30
  4,     UK003E,       0,  0.247663, 2459487.456333948299, 286.56080,  11.18615,              257.02094,  24.33320,       257.02288,       24.33260,    286.56080,     +11.18615,     286.56005,      +11.18678,  4010905.49,  -813033.40,  5002769.94,      50.900993,       -4.656966,   98088.69,  229573.42,   11879.21,            14492.17,    35.06,  61829.67,           57888.25,      4.52,     -5.92,           6.69,  +1.19,  -0.61
  5,     UK003E,       0,  0.288127, 2459487.456334416755, 286.39581,  10.69491,              256.82681,  23.84725,       256.84406,       23.84197,    286.39581,     +10.69491,     286.38108,      +10.70053,  4010494.95,  -814113.51,  5000962.94,      50.892191,       -4.673098,   96568.00,  230143.49,   14024.07,            16637.03,  -173.30,  53006.59,           57368.16,     40.58,    -53.08,          59.89,  +1.95,  +0.14
  6,     UK003E,       0,  0.328719, 2459487.456334886607, 286.16236,  10.08854,              256.61499,  23.22862,       256.62145,       23.22664,    286.16236,     +10.08854,     286.15775,      +10.09065,  4009977.10,  -815475.97,  4998683.58,      50.881079,       -4.693405,   94650.31,  230886.43,   16729.61,            19342.57,   171.57,  66652.07,           57989.94,     15.33,    -20.04,          22.54,  +4.42,  +2.60

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.