Orbital Analysis for matched events on 20210813_233425.379_UK

Summary for Event
-----------------
shower ID 546 FTC
Lg 58.93° Bg 53.31° Vg 49.88km/s
mass 0.00890g, abs. mag 1.2
Path Details
------------
start -2.65° 51.72° 106.57km
end   -2.71° 51.66° 96.71km

Orbit Details
-------------
Semimajor axis 6.46A.U., eccentricity 0.84, inclination 90.18°, Period 16.40Y, LA Sun 141.13°, last Perihelion 2021-08-05

Full details below
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Detailed report below graphs

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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: 2459440.482238192577
Time: 2021-08-13 23:34:25.383379 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 27.62628 deg
 R.A. =  25.69098  Dec = +69.71318 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 27.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2774603.80 +/- 21.60 m
 Y =  -2916754.43 +/- 22.76 m
 Z =   5067166.62 +/- 205.78 m
 Vx =    15740.92 +/- 604.69 m/s
 Vy =     7382.40 +/- 218.30 m/s
 Vz =    48052.79 +/- 867.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.895237e+02, +3.414285e+01, +1.157523e+02, +1.022622e+03, -1.021617e+01, +9.456170e+02
+3.414285e+01, +6.278127e+02, +5.308984e+03, -1.074901e+03, +2.325692e+03, +2.045176e+04
+1.157523e+02, +5.308984e+03, +5.651144e+04, -7.320902e+03, +1.626900e+04, +2.206645e+05
+1.022622e+03, -1.074901e+03, -7.320902e+03, +1.591552e+04, -2.400666e+03, -4.071831e+04
-1.021617e+01, +2.325692e+03, +1.626900e+04, -2.400666e+03, +1.087243e+04, +5.777550e+04
+9.456170e+02, +2.045176e+04, +2.206645e+05, -4.071831e+04, +5.777550e+04, +9.267280e+05

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK001Z: -0.002474 s

Reference point on the trajectory:
  Time: 2021-08-13 23:34:25.383379 UTC
  Lon     = +-2.654706 +/- 0.0003 deg
  Lat     = +51.718535 +/- 0.0013 deg
  Lat geo = +51.534320 +/- 0.0013 deg
  Ht      =  106582.77 +/- 151.24 m

  JD dynamic   = 2459440.483038974460 
  LST apparent = 313.5692451494 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  25.12630 +/- 0.3859 deg
  Dec       = +70.10925 +/- 0.4318 deg
  Azimuth   =  32.94326 +/- 0.7436 deg
  Elevation = +53.59382 +/- 0.0982 deg
  Vavg      =  50.59837 +/- 0.8494 km/s
  Vinit     =  51.10134 +/- 0.7780 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  25.42752 +/- 0.3859 deg
  Dec       = +69.81594 +/- 0.4318 deg
  Azimuth   =  33.40622 +/- 0.7436 deg
  Elevation = +53.44914 +/- 0.0982 deg
  Vavg      =  50.69387 +/- 0.8494 km/s
  Vinit     =  51.19684 +/- 0.7780 km/s
Radiant (geocentric, J2000):
  R.A.   =  26.03038 +/- 0.3749 deg
  Dec    = +69.93394 +/- 0.4373 deg
  Vg     =  49.88153 +/- 0.7983 km/s
  Vinf   =  51.10134 +/- 0.7780 km/s
  Zc     =  36.56089 +/- 0.0986 deg
  Zg     =  37.01814 +/- 0.0961 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  58.93370 +/- 0.5632 deg
  Bg     = +53.31285 +/- 0.3040 deg
  Vh     =  40.17420 +/- 0.7979 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 139.23968 +/- 5.5055 deg
  Bh     = +84.67386 +/- 0.3171 deg
  Vh_x   =   2.82465 +/- 0.1371 km/s
  Vh_y   =  -2.43476 +/- 0.3969 km/s
  Vh_z   = -40.00075 +/- 0.7790 km/s
Orbit:
  La Sun = 141.131756 +/- -0.0000 deg
  a      =   6.455352 +/- 0.9882 AU
  e      =   0.844541 +/- 0.0698
  i      =  90.176402 +/- 0.4251 deg
  peri   = 168.374345 +/- 0.4016 deg
  node   = 141.132204 +/- 0.0000 deg
  Pi     = 309.506549 +/- 0.4016 deg
  q      =   1.003545 +/- 0.0009 AU
  f      =  11.621993 +/- 0.4016 deg
  M      =   0.527835 +/- 0.5235 deg
  Q      =  11.907158 +/- 1.9769 AU
  n      =   0.060093 +/- 0.0560 deg/day
  T      =  16.401383 +/- 3.0689 years
  Last perihelion JD = 2459431.699410 (2021-08-05 04:47:09.004155) +/- 0.2918 days
  Tj     =   0.802522 +/- 0.3681
Shower association:
  IAU No.  =  546
  IAU code =  FTC

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.233613e-03, -4.806617e-05, +1.472645e-02, -4.397234e-08, -4.897599e-05, +6.886151e-04
q   , -4.806617e-05, +7.232776e-07, +6.205964e-05, +3.218538e-10, +4.388376e-06, -5.040405e-06
Tp  , +1.472645e-02, +6.205964e-05, +1.227252e-01, -1.124514e-07, +1.889157e-03, +1.760965e-03
node, -4.397234e-08, +3.218538e-10, -1.124514e-07, +3.366916e-13, +1.441517e-10, -5.272624e-09
peri, -4.897599e-05, +4.388376e-06, +1.889157e-03, +1.441517e-10, +4.612040e-05, -2.258539e-06
i   , +6.886151e-04, -5.040405e-06, +1.760965e-03, -5.272624e-09, -2.258539e-06, +8.256982e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.377887
 a2 = 25.923840

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 1.927e-05 s
  Stddev    = 4.39e-03 s

Begin point on the trajectory:
  Lon =    -2.654791 +/- 0.0005 deg
  Lat =    51.718454 +/- 0.0016 deg
  Ht  = 106567.86 +/- 216.77 m
End point on the trajectory:
  Lon =    -2.712067 +/- 0.0004 deg
  Lat =    51.664428 +/- 0.0004 deg
  Ht  = 96713.53 +/- 34.98 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   105073.07,    96713.53,          0.014004,      3.67,     36.73,              44.55, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210813_233419_492_0306944.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.130828,  33.147560,   106567.86,    96999.66,          0.009145,      9.90,     20.06,              15.15, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210813_233419_370_0302592.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,     UK000S,       1,  0.000000, 2459440.482238192577, 215.98081,  66.44854,              327.66321,  42.36447,       327.68308,       42.34546,    215.98081,     +66.44854,     215.92094,      +66.45078,  2774477.11, -2916813.85,  5066779.85,      51.716724,       -2.656580,  106251.74,  156180.86,       0.00,              411.30,   485.36,      0.00,           47662.27,     65.15,     -6.52,          86.47,  +5.11,  +4.14
  1,     UK000S,       0,  0.040116, 2459440.482238656841, 215.85972,  66.07699,              327.27535,  42.12367,       327.28289,       42.11650,    215.85972,     +66.07699,     215.83753,      +66.07783,  2774025.96, -2917025.44,  5065402.64,      51.710274,       -2.663476,  105073.07,  155121.87,    1464.59,             1875.89,  -100.04,  36508.80,           47662.27,     24.52,     -2.45,          32.76,  +2.39,  +1.44
  2,     UK000S,       0,  0.080260, 2459440.482239121571, 215.74368,  65.54385,              326.70841,  41.79388,       326.71620,       41.78653,    215.74368,     +65.54385,     215.72146,      +65.54469,  2773389.71, -2917323.84,  5063460.33,      51.701172,       -2.673134,  103410.96,  153637.84,    3530.12,             3941.42,   -85.92,  51453.00,           47662.27,     25.00,     -2.50,          33.73,  +1.48,  +0.55
  3,     UK000S,       0,  0.120408, 2459440.482239586301, 215.63976,  64.97532,              326.10576,  41.44438,       326.11902,       41.43199,    215.63976,     +64.97532,     215.60283,      +64.97672,  2772724.98, -2917635.59,  5061431.09,      51.691656,       -2.683217,  101674.69,  152101.76,    5688.09,             6099.40,    20.44,  53750.52,           47662.27,     41.97,     -4.20,          57.20,  +1.37,  +0.46
  4,     UK000S,       0,  0.160552, 2459440.482240050565, 215.54499,  64.42690,              325.53021,  41.10482,       325.54922,       41.08720,    215.54499,     +64.42690,     215.49323,      +64.42886,  2772096.55, -2917930.32,  5059512.66,      51.682655,       -2.692760,  100033.45,  150663.94,    7728.23,             8139.53,     9.16,  50820.42,           49029.26,     59.42,     -5.95,          81.76,  +1.51,  +0.62
  5,     UK000S,       0,  0.200708, 2459440.482240515761, 215.40761,  63.89463,              324.99351,  40.75485,       325.00006,       40.74882,    215.40761,     +63.89463,     215.39075,      +63.89529,  2771496.07, -2918211.94,  5057679.56,      51.674049,       -2.701887,   98465.39,  149303.51,    9677.63,            10088.94,   -93.46,  48545.80,           49350.66,     20.25,     -2.02,          28.12,  +1.69,  +0.82
  6,     UK000S,       0,  0.240892, 2459440.482240980491, 215.24799,  63.28903,              324.39311,  40.35027,       324.38192,       40.36048,    215.24799,     +63.28903,     215.27846,      +63.28793,  2770825.11, -2918526.62,  5055631.29,      51.664428,       -2.712067,   96713.53,  147798.49,   11855.84,            12267.15,    31.29,  54205.94,           49986.22,    -34.13,      3.40,          47.87,  +4.49,  +3.64
  0,     UK001Z,       0,  0.001812, 2459440.482238233555,  62.23092,  81.22646,               12.29249,  47.34572,        12.28419,       47.35528,     62.23092,     +81.22646,      62.19310,      +81.23594,  2774598.09, -2916757.11,  5067149.19,      51.718454,       -2.654791,  106567.86,  143771.71,       0.00,               18.54,     0.00,      0.00,           50845.24,    -24.95,    -12.35,          39.93,  +3.35,  +2.56
  1,     UK001Z,       0,  0.041912, 2459440.482238697819,  63.48284,  81.34025,               12.01079,  47.23423,        12.00088,       47.24558,     63.48284,     +81.34025,      63.43906,      +81.35167,  2773908.40, -2917080.57,  5065043.76,      51.708592,       -2.665244,  104765.95,  141597.60,    2239.00,             2257.54,   189.84,  55835.50,           50845.24,    -29.23,    -14.46,          47.50,  +2.41,  +1.65
  2,     UK001Z,       0,  0.081984, 2459440.482239161618,  64.57776,  81.46611,               11.73050,  47.15454,        11.73985,       47.14384,     64.57776,     +81.46611,      64.61885,      +81.45522,  2773290.41, -2917370.40,  5063157.20,      51.699751,       -2.674629,  103151.59,  139651.17,    4245.24,             4263.78,   148.35,  50065.88,           50845.24,     27.24,     13.41,          44.84,  +2.19,  +1.46
  3,     UK001Z,       0,  0.122072, 2459440.482239625417,  65.75965,  81.55778,               11.48394,  47.05126,        11.48910,       47.04539,     65.75965,     +81.55778,      65.78195,      +81.55173,  2772711.38, -2917641.97,  5061389.55,      51.691462,       -2.683434,  101639.15,  137828.96,    6125.04,             6143.57,   -20.41,  46891.69,           50845.24,     14.77,      7.27,          24.64,  +2.10,  +1.40
  4,     UK001Z,       0,  0.162172, 2459440.482240089681,  67.10813,  81.65951,               11.20535,  46.93738,        11.20852,       46.93381,     67.10813,     +81.65951,      67.12168,      +81.65577,  2772077.18, -2917939.41,  5059453.51,      51.682378,       -2.693063,   99982.85,  135835.23,    8183.90,             8202.43,   -10.71,  51343.18,           50523.49,      8.89,      4.38,          15.04,  +2.10,  +1.43
  5,     UK001Z,       0,  0.202268, 2459440.482240553480,  68.42575,  81.75797,               10.93354,  46.83116,        10.93852,       46.82557,     68.42575,     +81.75797,      68.44609,      +81.75205,  2771482.53, -2918218.29,  5057638.22,      51.673855,       -2.702103,   98430.03,  133967.64,   10114.36,            10132.90,  -129.21,  48145.97,           50091.86,     13.74,      6.76,          23.59,  +2.26,  +1.63
  6,     UK001Z,       0,  0.242356, 2459440.482241017744,  69.71290,  81.84407,               10.67958,  46.72696,        10.68346,       46.72262,     69.71290,     +81.84407,      69.72852,      +81.83942,  2770934.71, -2918475.22,  5055965.87,      51.666000,       -2.710445,   96999.66,  132248.67,   11892.80,            11911.34,  -399.32,  44363.44,           49323.99,     10.55,      5.19,          18.34,  +3.98,  +3.37

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.