Orbital Analysis for matched events on 20210813_233452.495_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.81° Bg 39.08° Vg 61.25km/s
mass 0.01752g, abs. mag 0.0
Path Details
------------
start -0.37° 51.08° 109.32km
end   -0.48° 50.99° 98.72km

Orbit Details
-------------
Semimajor axis -6.28A.U., eccentricity 1.15, inclination 113.51°, Period 1000000000.00Y, LA Sun 141.13°, 

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: 2459440.482552025467
Time: 2021-08-13 23:34:52.534992 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK000F
 Convergence angle = 15.42344 deg
 R.A. =  49.02528  Dec = +58.96735 deg

Best intersection: Stations UK0001 and UK000F with Qconv = 15.42 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2937288.22 +/- 240.48 m
 Y =  -2837711.68 +/- 84.97 m
 Z =   5026005.91 +/- 227.31 m
 Vx =    20486.29 +/- 1292.61 m/s
 Vy =    24185.36 +/- 664.75 m/s
 Vz =    53576.41 +/- 1165.48 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK000F: 0.002517 s
    UK002B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:34:52.534992 UTC
  Lon     = +-0.349557 +/- 0.0032 deg
  Lat     = +51.087582 +/- 0.0005 deg
  Lat geo = +50.902579 +/- 0.0005 deg
  Ht      =  110910.08 +/- 248.70 m

  JD dynamic   = 2459440.483353229240 
  LST apparent = 315.9878354861 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.73362 +/- 1.5771 deg
  Dec       = +59.39149 +/- 0.4690 deg
  Azimuth   =  41.88850 +/- 1.1082 deg
  Elevation = +40.45093 +/- 0.4117 deg
  Vavg      =  58.72299 +/- 1.0950 km/s
  Vinit     =  62.24991 +/- 1.0506 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.69877 +/- 1.5771 deg
  Dec       = +59.15664 +/- 0.4690 deg
  Azimuth   =  42.15555 +/- 1.1082 deg
  Elevation = +40.33216 +/- 0.4117 deg
  Vavg      =  58.87483 +/- 1.0950 km/s
  Vinit     =  62.40175 +/- 1.0506 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.99111 +/- 1.6011 deg
  Dec    = +59.07086 +/- 0.4587 deg
  Vg     =  61.25322 +/- 1.0680 km/s
  Vinf   =  62.24991 +/- 1.0506 km/s
  Zc     =  49.68691 +/- 0.4141 deg
  Zg     =  50.11506 +/- 0.4310 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.80535 +/- 1.1992 deg
  Bg     = +39.08279 +/- 0.1670 deg
  Vh     =  43.50485 +/- 0.7919 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.16308 +/- 3.4859 deg
  Bh     = +62.57896 +/- 0.3531 deg
  Vh_x   =  -2.03752 +/- 1.2600 km/s
  Vh_y   = -19.93123 +/- 0.4825 km/s
  Vh_z   = -38.61692 +/- 0.5892 km/s
Orbit:
  La Sun = 141.132058 +/- nan deg
  a      =  -6.279175 +/- 5.0590 AU
  e      =   1.151841 +/- 0.0741
  i      = 113.507019 +/- 1.0708 deg
  peri   = 152.876257 +/- 3.1228 deg
  node   = 141.130990 +/- 0.0001 deg
  Pi     = 294.007247 +/- 3.1227 deg
  q      =   0.953436 +/- 0.0114 AU
  f      =  27.119778 +/- 3.1228 deg
  M      =        nan +/- nan deg
  Q      = -13.511786 +/- 10.1207 AU
  n      =   0.062640 +/- 0.0325 deg/day
  T      = 1000000000.000000 +/- 249443814.2810 years
  Last perihelion JD = NaN 
  Tj     =  -1.329682 +/- 0.4294
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +nan, +nan, +nan, +nan, +nan, +nan
q   , +nan, +nan, +nan, +nan, +nan, +nan
Tp  , +nan, +nan, +nan, +nan, +nan, +nan
node, +nan, +nan, +nan, +nan, +nan, +nan
peri, +nan, +nan, +nan, +nan, +nan, +nan
i   , +nan, +nan, +nan, +nan, +nan, +nan

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.208469
 a2 = 16.540288

Mean time residuals from time vs. length:
  Station with reference time: UK0001
  Avg. res. = 1.794e-05 s
  Stddev    = 4.24e-03 s

Begin point on the trajectory:
  Lon =    -0.366985 +/- 0.0023 deg
  Lat =    51.075340 +/- 0.0003 deg
  Ht  = 109323.95 +/- 178.33 m
End point on the trajectory:
  Lon =    -0.484748 +/- 0.0037 deg
  Lat =    50.993206 +/- 0.0004 deg
  Ht  = 98724.38 +/- 290.92 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,   5.779905,  15.545671,   109323.95,    98724.38,          0.006292,     14.40,      5.01,              25.24, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210813_233450_816_0309504.fits"}
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   109230.56,   103039.85,          0.009321,     25.24,      1.55,              69.10, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20210813_233449_437_0293888.fits"}
    UK002B,    True,    -1.367130,    50.815550,   22.00,   4.802773,  17.712174,   110543.99,   100158.48,          0.037792,       nan,       nan,              22.22, 0.0000,    True,    True, {"ff_name": "FF_UK002B_20210813_233452_627_0313344.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,       1,  0.000000, 2459440.482552025467,  19.12992,  42.22701,               75.12386,  46.21619,        75.12230,       46.24012,     19.12992,     +42.22701,      19.10411,      +42.24145,  2937306.80, -2837689.75,  5026054.49,      51.087865,       -0.348987,  110946.70,  152394.71,       0.00,               56.45,   365.98,      0.00,           61145.40,    -21.04,    -60.14,          86.24,  +4.68,  +3.77
  1,     UK0001,       0,  0.039984, 2459440.482552488334,  18.77270,  41.91425,               75.71377,  46.25675,        75.71355,       46.26063,     18.77270,     +41.91425,      18.76869,      +41.91658,  2936483.54, -2838661.66,  5023901.48,      51.075340,       -0.366985,  109323.95,  150131.89,    2501.56,             2445.12,   265.64,  62564.13,           61145.40,     -3.35,     -9.61,          13.98,  +2.97,  +2.09
  2,     UK0001,       0,  0.079976, 2459440.482552951202,  18.45157,  41.61406,               76.26811,  46.28211,        76.26833,       46.27739,     18.45157,     +41.61406,      18.45696,      +41.61124,  2935733.28, -2839547.39,  5021939.38,      51.063919,       -0.383400,  107845.57,  148075.89,    4781.31,             4724.86,    55.89,  57005.01,           61145.40,      4.01,     11.51,          16.97,  +1.48,  +0.63
  3,     UK0001,       0,  0.119984, 2459440.482553414069,  18.09202,  41.25010,               76.92331,  46.29406,        76.92334,       46.29323,     18.09202,     +41.25010,      18.09341,      +41.24960,  2934874.22, -2840561.56,  5019692.74,      51.050831,       -0.402172,  106153.35,  145731.27,    7391.65,             7335.20,   175.74,  65245.48,           61145.40,      0.70,      2.01,           3.01,  +1.34,  +0.52
  4,     UK0001,       0,  0.159988, 2459440.482553877402,  17.77319,  40.91930,               77.51504,  46.29946,        77.51492,       46.30473,     17.77319,     +40.91930,      17.76824,      +40.92242,  2934121.52, -2841450.17,  5017724.26,      51.039356,       -0.418639,  104671.12,  143683.64,    9678.81,             9622.37,   -27.34,  57173.40,           60622.94,     -4.35,    -12.47,          18.96,  +1.05,  +0.26
  5,     UK0001,       0,  0.199980, 2459440.482554340269,  17.43183,  40.57742,               78.13533,  46.31175,        78.13531,       46.31344,     17.43183,     +40.57742,      17.43086,      +40.57841,  2933354.82, -2842355.31,  5015719.15,      51.027660,       -0.435409,  103161.78,  141605.80,   12008.53,            11952.08,  -187.13,  58254.54,           60135.40,     -1.37,     -3.95,           6.09,  +1.03,  +0.27
  6,     UK0001,       0,  0.239972, 2459440.482554803137,  17.08588,  40.23663,               78.75861,  46.32691,        78.75862,       46.31890,     17.08588,     +40.23663,      17.09537,      +40.23194,  2932606.62, -2843238.61,  5013762.43,      51.016238,       -0.451777,  101689.32,  139585.76,   14282.03,            14225.58,  -403.13,  56848.77,           59609.20,      6.40,     18.41,          28.81,  +1.33,  +0.61
  7,     UK0001,       0,  0.279972, 2459440.482555266004,  16.72366,  39.84745,               79.45058,  46.32303,        79.45056,       46.32072,     16.72366,     +39.84745,      16.72728,      +39.84610,  2931800.82, -2844189.90,  5011655.09,      51.003929,       -0.469392,  100104.02,  137419.92,   16730.52,            16674.07,  -444.63,  61212.29,           59523.54,      1.82,      5.24,           8.33,  +2.69,  +2.00
  8,     UK0001,       0,  0.319980, 2459440.482555728871,  16.41319,  39.49183,               80.07041,  46.30590,        80.07072,       46.31927,     16.41319,     +39.49183,      16.40040,      +39.49958,  2931099.35, -2845018.03,  5009820.59,      50.993206,       -0.484748,   98724.38,  135541.44,   18862.01,            18805.57,  -803.63,  53276.76,           59066.99,    -10.40,    -29.87,          48.13,  +3.66,  +3.00
  0,     UK000F,       0,  0.038068, 2459440.482552472968, 340.82985,  10.63868,              143.69615,  43.74399,       143.70683,       43.75392,    340.82985,     +10.63868,     340.81896,      +10.64503,  2936436.15, -2838717.61,  5023777.54,      51.074619,       -0.368006,  109230.56,  156406.38,       0.00,             2589.12,   528.93,      0.00,           57762.91,     -2.11,    -34.26,          45.26,  +4.60,  +3.63
  1,     UK000F,       0,  0.078428, 2459440.482552940026, 340.45493,  10.05922,              144.46351,  43.34098,       144.45507,       43.33322,    340.45493,     +10.05922,     340.46394,      +10.05423,  2935785.15, -2839486.15,  5022075.03,      51.064709,       -0.382273,  107947.76,  155741.97,    1978.12,             4567.24,    -5.35,  49012.00,           57762.91,      1.64,     26.84,          35.61,  +1.37,  +0.41
  2,     UK000F,       0,  0.118852, 2459440.482553408016, 340.05939,   9.39333,              145.29019,  42.86029,       145.28351,       42.85423,    340.05939,      +9.39333,     340.06671,       +9.38942,  2935059.58, -2840342.73,  5020177.51,      51.053656,       -0.398155,  106518.43,  155028.55,    4182.84,             6771.96,  -317.02,  54539.84,           57762.91,      1.28,     21.03,          28.03,  +1.16,  +0.21
  3,     UK000F,       0,  0.159424, 2459440.482553877868, 339.55649,   8.50897,              146.34279,  42.20662,       146.35203,       42.21488,    339.55649,      +8.50897,     339.54778,       +8.51435,  2934115.18, -2841457.65,  5017707.68,      51.039259,       -0.418776,  104658.64,  154143.94,    7052.51,             9641.63,    27.04,  70730.16,           57762.91,     -1.77,    -28.81,          38.63,  +1.73,  +0.79
  4,     UK000F,       0,  0.199912, 2459440.482554346323, 339.09325,   7.74302,              147.27355,  41.64321,       147.27499,       41.64447,    339.09325,      +7.74302,     339.09264,       +7.74385,  2933292.86, -2842428.45,  5015557.12,      51.026714,       -0.436753,  103039.85,  153412.81,    9551.22,            12140.34,     5.38,  61714.85,           59746.36,     -0.27,     -4.43,           5.97,  +3.59,  +2.66
  0,     UK002B,       1,  0.003358, 2459440.482552064117,  12.82295,  50.78192,               66.86506,  54.39797,        66.80336,       54.46015,     12.82295,     +50.78192,      12.75485,      +50.83939,  2937102.52, -2837930.92,  5025520.25,      51.084758,       -0.353426,  110543.99,  135239.00,       0.00,              564.28,   664.78,      0.00,           57077.15,      9.75,   -169.20,         258.48,  +6.24,  +5.58
  1,     UK002B,       1,  0.043202, 2459440.482552525587,  12.39771,  50.62661,               67.29372,  54.58414,        67.26016,       54.61818,     12.39771,     +50.62661,      12.36065,      +50.65789,  2936483.58, -2838661.61,  5023901.59,      51.075341,       -0.366997,  109324.04,  133496.50,    1880.70,             2444.98,    65.20,  47201.62,           57077.15,      5.41,    -91.18,         141.12,  +2.22,  +1.59
  2,     UK002B,       1,  0.083006, 2459440.482552986126,  11.84909,  50.38605,               67.91480,  54.80950,        67.89397,       54.83092,     11.84909,     +50.38605,      11.82603,      +50.40555,  2935659.59, -2839634.38,  5021746.67,      51.062796,       -0.385009,  107700.40,  131184.98,    4384.48,             4948.76,    91.18,  62902.73,           57077.15,      3.38,    -56.13,          88.41,  +1.56,  +0.97
  3,     UK002B,       1,  0.122818, 2459440.482553447131,  11.32245,  50.14737,               68.52841,  55.02377,        68.51748,       55.03516,     11.32245,     +50.14737,      11.31053,      +50.15764,  2934883.99, -2840550.03,  5019718.29,      51.050980,       -0.401972,  106172.59,  129015.57,    6741.24,             7305.52,   -30.36,  59197.12,           57077.15,      1.78,    -29.23,          46.81,  +1.03,  +0.48
  4,     UK002B,       1,  0.162650, 2459440.482553908136,  10.79607,  49.84567,               69.24828,  55.21360,        69.20915,       55.25531,     10.79607,     +49.84567,      10.75129,      +49.88282,  2934061.87, -2841520.60,  5017568.25,      51.038446,       -0.419942,  104553.67,  126723.95,    9239.35,             9803.63,   -11.78,  62716.27,           58611.56,      6.23,   -104.45,         170.31,  +0.94,  +0.43
  5,     UK002B,       1,  0.202458, 2459440.482554368675,  10.26336,  49.60168,               69.88410,  55.43101,        69.85988,       55.45722,     10.26336,     +49.60168,      10.23570,      +49.62480,  2933321.97, -2842394.09,  5015633.25,      51.027159,       -0.436130,  103097.13,  124667.89,   11487.61,            12051.89,  -241.57,  56477.54,           58745.14,      3.90,    -64.27,         106.52,  +0.77,  +0.29
  6,     UK002B,       1,  0.242262, 2459440.482554829214,   9.72323,  49.33907,               70.55910,  55.64613,        70.54342,       55.66339,      9.72323,     +49.33907,       9.70551,      +49.35414,  2932577.78, -2843272.65,  5013687.03,      51.015798,       -0.452411,  101632.59,  122606.96,   13748.90,            14313.19,  -458.07,  56810.76,           58585.68,      2.54,    -41.42,          69.82,  +1.12,  +0.68
  7,     UK002B,       1,  0.282066, 2459440.482555290218,   9.17950,  49.05295,               71.28014,  55.85454,        71.26284,       55.87397,      9.17950,     +49.05295,       9.15964,      +49.06974,  2931828.51, -2844157.21,  5011727.50,      51.004352,       -0.468802,  100158.48,  120539.46,   16025.66,            16589.94,  -659.11,  57199.12,           58403.72,      2.80,    -45.61,          78.20,  +2.37,  +1.96

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.