Orbital Analysis for matched events on 20210813_214705.472_UK

Summary for Event
-----------------
shower ID 546 FTC
Lg 46.76° Bg 50.94° Vg 49.38km/s
mass 0.22054g, abs. mag -2.2
Path Details
------------
start -4.05° 53.57° 106.30km
end   -4.16° 53.49° 94.32km

Orbit Details
-------------
Semimajor axis 3.26A.U., eccentricity 0.69, inclination 92.43°, Period 5.90Y, LA Sun 141.06°, last Perihelion 2015-09-29

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: 2459440.407702228054
Time: 2021-08-13 21:47:05.472504 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0027 and UK003F
 Convergence angle = 3.92267 deg
 R.A. =  13.98542  Dec = +63.37549 deg

Best intersection: Stations UK0027 and UK003F with Qconv = 3.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1016163.10 +/- 354.71 m
 Y =  -3723069.44 +/- 197.35 m
 Z =   5193875.08 +/- 533.83 m
 Vx =    21617.11 +/- 2804.97 m/s
 Vy =     5322.24 +/- 797.86 m/s
 Vz =    45450.20 +/- 2270.20 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.658136e+04, -2.618154e+04, -6.684704e+04, +8.882047e+04, -6.157933e+04, -1.506602e+05
-2.618154e+04, +1.562825e+04, +3.873918e+04, -4.661873e+04, +3.616749e+04, +8.049331e+04
-6.684704e+04, +3.873918e+04, +1.010644e+05, -1.053507e+05, +7.817096e+04, +1.855406e+05
+8.882047e+04, -4.661873e+04, -1.053507e+05, +1.038751e+06, -5.691273e+05, -1.522005e+06
-6.157933e+04, +3.616749e+04, +7.817096e+04, -5.691273e+05, +3.336781e+05, +8.427608e+05
-1.506602e+05, +8.049331e+04, +1.855406e+05, -1.522005e+06, +8.427608e+05, +2.241199e+06

Timing offsets (from input data):
    UK0027: 0.000000 s
    UK003F: 0.001350 s

Reference point on the trajectory:
  Time: 2021-08-13 21:47:05.472504 UTC
  Lon     = +-4.051225 +/- 0.0043 deg
  Lat     = +53.567241 +/- 0.0048 deg
  Lat geo = +53.386203 +/- 0.0048 deg
  Ht      =  106327.00 +/- 262.96 m

  JD dynamic   = 2459440.408502968960 
  LST apparent = 285.2662983442 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  13.83142 +/- 3.8864 deg
  Dec       = +63.90322 +/- 2.1263 deg
  Azimuth   =  39.97861 +/- 3.7324 deg
  Elevation = +46.80878 +/- 0.2145 deg
  Vavg      =  49.15069 +/- 1.5183 km/s
  Vinit     =  50.60974 +/- 1.7283 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  13.84933 +/- 3.8864 deg
  Dec       = +63.61789 +/- 2.1263 deg
  Azimuth   =  40.33345 +/- 3.7324 deg
  Elevation = +46.65936 +/- 0.2145 deg
  Vavg      =  49.27507 +/- 1.5183 km/s
  Vinit     =  50.73413 +/- 1.7283 km/s
Radiant (geocentric, J2000):
  R.A.   =  14.58983 +/- 3.8768 deg
  Dec    = +63.50499 +/- 2.1392 deg
  Vg     =  49.37761 +/- 1.7669 km/s
  Vinf   =  50.60974 +/- 1.7283 km/s
  Zc     =  43.33007 +/- 0.2190 deg
  Zg     =  43.89101 +/- 0.1981 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  46.75838 +/- 4.0415 deg
  Bg     = +50.93522 +/- 0.8191 deg
  Vh     =  38.46480 +/- 1.9282 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 352.60113 +/- 41.8606 deg
  Bh     = +85.35991 +/- 1.3843 deg
  Vh_x   =  -3.08575 +/- 1.5215 km/s
  Vh_y   =   0.40071 +/- 1.7270 km/s
  Vh_z   = -38.33873 +/- 1.8444 km/s
Orbit:
  La Sun = 141.060169 +/- nan deg
  a      =   3.263440 +/- 30.3376 AU
  e      =   0.691381 +/- 0.1824
  i      =  92.431151 +/- 0.4266 deg
  peri   = 189.682034 +/- 6.2116 deg
  node   = 141.059848 +/- 0.0000 deg
  Pi     = 330.741882 +/- 6.2116 deg
  q      =   1.007159 +/- 0.0037 AU
  f      = 350.314136 +/- 6.2116 deg
  M      = 358.718125 +/- nan deg
  Q      =   5.519721 +/- 60.6745 AU
  n      =   0.167183 +/- 0.0708 deg/day
  T      =   5.895411 +/- 446947576.6520 years
  Last perihelion JD = 2457294.739677 (2015-09-29 05:45:08.087356) +/- 1584.8211 days
  Tj     =   1.546180 +/- 0.9556
Shower association:
  IAU No.  =  546
  IAU code =  FTC

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.123547e-02, +1.280014e-04, +1.312675e+02, -3.287488e-08, -8.891553e-03, +4.912629e-04
q   , +1.280014e-04, +2.868253e-06, +8.098754e-01, -3.956062e-10, -1.122904e-04, +5.911001e-06
Tp  , +1.312675e+02, +8.098754e-01, +2.587118e+06, -4.628885e-04, -9.943041e+01, +6.919067e+00
node, -3.287488e-08, -3.956062e-10, -4.628885e-04, +1.398918e-13, +2.701927e-08, -2.091308e-09
peri, -8.891553e-03, -1.122904e-04, -9.943041e+01, +2.701927e-08, +7.153970e-03, -4.037639e-04
i   , +4.912629e-04, +5.911001e-06, +6.919067e+00, -2.091308e-09, -4.037639e-04, +3.126397e-05

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

Mean time residuals from time vs. length:
  Station with reference time: UK0027
  Avg. res. = 1.204e-05 s
  Stddev    = 3.47e-03 s

Begin point on the trajectory:
  Lon =    -4.051491 +/- 0.0042 deg
  Lat =    53.567053 +/- 0.0049 deg
  Ht  = 106297.28 +/- 275.70 m
End point on the trajectory:
  Lon =    -4.160238 +/- 0.0042 deg
  Lat =    53.490654 +/- 0.0037 deg
  Ht  = 94319.30 +/- 172.66 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
    UK0027,   False,    -2.374601,    51.371449,   48.00,  16.513185,   0.000000,   106297.28,    94502.94,          0.011620,     45.08,     36.99,              53.91, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210813_214703_038_0141312.fits"}
    UK003F,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   104135.18,    94319.30,          0.006196,     24.07,     22.74,              59.62, 1.0000,    True,    True, {"ff_name": "FF_UK003F_20210813_214700_020_0145920.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,     UK0027,       0,  0.000000, 2459440.407702228054, 147.40049,  53.40522,              335.67064,  20.12316,       335.65732,       20.13697,    147.40049,     +53.40522,     147.42920,      +53.41228,  1016145.69, -3723073.73,  5193838.48,      53.567053,       -4.051491,  106297.28,  291820.55,       0.00,               40.76,    21.61,      0.00,           50920.91,    -60.18,    -73.37,          67.08,  +4.46,  +2.13
  1,     UK0027,       0,  0.040100, 2459440.407702692319, 147.62613,  53.11477,              335.40751,  19.91955,       335.40439,       19.92278,    147.62613,     +53.11477,     147.63281,      +53.11640,  1015326.00, -3723275.54,  5192115.08,      53.558155,       -4.064188,  104898.26,  290792.78,    1919.04,             1959.80,   -88.79,  47856.48,           50920.91,    -14.04,    -17.10,          15.69,  +2.27,  -0.05
  2,     UK0027,       0,  0.080212, 2459440.407703156583, 147.87274,  52.79109,              335.11603,  19.69231,       335.12400,       19.68408,    147.87274,     +52.79109,     147.85578,      +52.78693,  1014420.72, -3723498.42,  5190211.72,      53.548322,       -4.078193,  103353.45,  289667.82,    4038.48,             4079.24,     0.58,  52837.84,           50920.91,     35.72,     43.49,          40.08,  +1.80,  -0.51
  3,     UK0027,       0,  0.120348, 2459440.407703620847, 148.05551,  52.45938,              334.85692,  19.44185,       334.84959,       19.44940,    148.05551,     +52.45938,     148.07140,      +52.46317,  1013539.08, -3723715.49,  5188358.04,      53.538740,       -4.091837,  101849.27,  288583.16,    6102.58,             6143.34,    33.41,  51427.75,           50920.91,    -32.73,    -39.88,          36.87,  +1.47,  -0.83
  4,     UK0027,       0,  0.160452, 2459440.407704085112, 148.27310,  52.15574,              334.58975,  19.22658,       334.58992,       19.22640,    148.27310,     +52.15574,     148.27318,      +52.15565,  1012708.85, -3723919.89,  5186612.50,      53.529712,       -4.104695,  100433.09,  287571.92,    8046.28,             8087.04,   -52.54,  48466.55,           50544.76,      0.76,      0.92,           0.86,  +1.21,  -1.08
  5,     UK0027,       0,  0.200572, 2459440.407704549376, 148.47162,  51.84032,              334.32747,  18.99633,       334.32553,       18.99833,    148.47162,     +51.84032,     148.47632,      +51.84131,  1011867.08, -3724127.14,  5184842.66,      53.520552,       -4.117729,   98997.47,  286556.41,   10017.04,            10057.79,  -112.25,  49121.45,           50233.93,     -8.61,    -10.49,           9.77,  +0.83,  -1.46
  6,     UK0027,       0,  0.240704, 2459440.407705014106, 148.68414,  51.49398,              334.04185,  18.74281,       334.03680,       18.74798,    148.68414,     +51.49398,     148.69546,      +51.49653,  1010951.35, -3724352.60,  5182917.33,      53.510582,       -4.131895,   97436.04,  285462.70,   12160.93,            12201.69,     0.57,  53421.05,           50464.55,    -22.25,    -27.11,          25.34,  +0.68,  -1.60
  7,     UK0027,       0,  0.280840, 2459440.407705478370, 148.87603,  51.14607,              333.76687,  18.48297,       333.75110,       18.49911,    148.87603,     +51.14607,     148.90971,      +51.15398,  1010049.48, -3724574.64,  5181021.14,      53.500756,       -4.145848,   95898.55,  284397.37,   14272.37,            14313.13,    80.74,  52607.20,           50739.27,    -69.26,    -84.43,          79.20,  +0.81,  -1.46
  8,     UK0027,       0,  0.320944, 2459440.407705942634, 149.08881,  50.83714,              333.49678,  18.26462,       333.49040,       18.27114,    149.08881,     +50.83714,     149.10309,      +50.84032,  1009230.69, -3724776.23,  5179299.62,      53.491829,       -4.158532,   94502.94,  283440.83,   16189.32,            16230.08,   -31.96,  47799.38,           50671.53,    -27.94,    -34.04,          32.05,  +1.63,  -0.63
  0,     UK003F,       0,  0.054364, 2459440.407702846918, 155.95589,  48.76304,              328.69816,  18.31217,       328.69563,       18.31475,    155.95589,     +48.76304,     155.96099,      +48.76411,  1014878.85, -3723385.63,  5191174.93,      53.553299,       -4.071079,  104135.18,  309765.19,       0.00,             3006.68,   236.19,      0.00,           48051.36,    -13.10,    -13.88,          12.71,  +1.78,  -0.68
  1,     UK003F,       0,  0.094548, 2459440.407703312114, 156.08499,  48.50463,              328.48600,  18.12928,       328.48539,       18.12991,    156.08499,     +48.50463,     156.08639,      +48.50489,  1014182.27, -3723557.13,  5189710.36,      53.545731,       -4.081894,  102946.59,  309046.36,    1630.83,             4637.50,  -166.69,  40583.96,           48051.36,     -3.16,     -3.35,           3.07,  +0.99,  -1.46
  2,     UK003F,       0,  0.134816, 2459440.407703778241, 156.26808,  48.13417,              328.18259,  17.86701,       328.18518,       17.86437,    156.26808,     +48.13417,     156.26324,      +48.13309,  1013188.02, -3723801.92,  5187619.95,      53.534923,       -4.097260,  101250.42,  308030.01,    3958.54,             6965.22,   123.08,  57805.64,           48051.36,     13.35,     14.14,          13.02,  +0.51,  -1.93
  3,     UK003F,       0,  0.175020, 2459440.407704243436, 156.38710,  47.85717,              327.96629,  17.66540,       327.96373,       17.66801,    156.38710,     +47.85717,     156.39269,      +47.85823,  1012458.46, -3723981.54,  5186086.04,      53.526988,       -4.108579,  100006.02,  307294.91,    5666.59,             8673.27,  -203.59,  42484.47,           48051.36,    -13.15,    -13.93,          12.86,  +0.29,  -2.15
  4,     UK003F,       0,  0.215284, 2459440.407704709563, 156.58838,  47.48370,              327.64918,  17.40767,       327.65977,       17.39693,    156.58838,     +47.48370,     156.56819,      +47.47936,  1011457.93, -3724227.88,  5183982.41,      53.516098,       -4.124041,   98299.78,  306297.30,    8009.02,            11015.70,   101.09,  58176.86,           49847.37,     54.15,     57.31,          53.09,  +0.14,  -2.29
  5,     UK003F,       0,  0.255496, 2459440.407705174759, 156.70191,  47.19531,              327.42973,  17.19509,       327.43175,       17.19305,    156.70191,     +47.19531,     156.69881,      +47.19449,  1010711.12, -3724411.74,  5182412.24,      53.507965,       -4.135625,   97026.46,  305563.81,    9757.44,            12764.12,  -185.61,  43479.97,           49451.03,     10.25,     10.86,          10.08,  +0.28,  -2.15
  6,     UK003F,       0,  0.295760, 2459440.407705640886, 156.85993,  46.83187,              327.14362,  16.93264,       327.14286,       16.93341,    156.85993,     +46.83187,     156.86242,      +46.83218,  1009766.16, -3724644.40,  5180425.46,      53.497668,       -4.150238,   95415.60,  304646.05,   11969.76,            14976.44,   -11.04,  54945.49,           49898.68,     -3.86,     -4.09,           3.81,  +0.12,  -2.30
  7,     UK003F,       0,  0.335936, 2459440.407706106082, 156.98154,  46.58567,              326.94047,  16.76011,       326.94511,       16.75543,    156.98154,     +46.58567,     156.97374,      +46.58381,  1009122.96, -3724802.76,  5179073.11,      53.490654,       -4.160238,   94319.30,  304030.94,   13475.63,            16482.31,  -538.47,  37481.77,           49051.96,     23.50,     24.88,          23.22,  +1.83,  -0.58

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.