Orbital Analysis for matched events on 20210810_023758.911_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.16° Bg 41.64° Vg 57.10km/s
mass 0.01160g, abs. mag 0.0
Path Details
------------
start -0.61° 51.81° 107.46km
end   -0.67° 51.79° 98.20km

Orbit Details
-------------
Semimajor axis 19.02A.U., eccentricity 0.95, inclination 107.12°, Period 82.95Y, LA Sun 137.41°, last Perihelion 2021-07-18

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: 2459436.609709622804
Time: 2021-08-10 02:37:58.959690 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK002B
 Convergence angle = 21.50772 deg
 R.A. =  44.78637  Dec = +60.13302 deg
Intersection 2 - Stations: UK000S and UK002C
 Convergence angle = 45.99141 deg
 R.A. =  47.78291  Dec = +60.79775 deg
Intersection 3 - Stations: UK002B and UK002C
 Convergence angle = 67.49260 deg
 R.A. =  46.56153  Dec = +61.04410 deg

Best intersection: Stations UK002B and UK002C with Qconv = 67.49 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4014462.44 +/- 37.20 m
 Y =   -162335.44 +/- 70.36 m
 Z =   5074427.61 +/- 147.22 m
 Vx =    19608.60 +/- 663.77 m/s
 Vy =    20124.65 +/- 690.95 m/s
 Vz =    50935.53 +/- 1050.10 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.194247e+03, +1.195287e+03, +1.926343e+03, +4.402103e+03, +6.236804e+03, +1.665452e+03
+1.195287e+03, +2.673267e+03, +3.954766e+03, +6.013259e+03, +1.476929e+04, +1.006996e+04
+1.926343e+03, +3.954766e+03, +1.159156e+04, -1.049970e+04, -1.581631e+04, -1.370994e+04
+4.402103e+03, +6.013259e+03, -1.049970e+04, +1.096849e+05, +1.833611e+05, +1.406566e+05
+6.236804e+03, +1.476929e+04, -1.581631e+04, +1.833611e+05, +3.586566e+05, +2.678488e+05
+1.665452e+03, +1.006996e+04, -1.370994e+04, +1.406566e+05, +2.678488e+05, +2.325776e+05

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK002B: -0.000842 s
    UK002C: 0.001151 s

Reference point on the trajectory:
  Time: 2021-08-10 02:37:58.959690 UTC
  Lon     = +-0.612641 +/- 0.0010 deg
  Lat     = +51.813175 +/- 0.0007 deg
  Lat geo = +51.629127 +/- 0.0007 deg
  Ht      =  107394.52 +/- 127.03 m

  JD dynamic   = 2459436.610510922503 
  LST apparent = 357.6843548350 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.74411 +/- 0.7692 deg
  Dec       = +61.11716 +/- 0.2974 deg
  Azimuth   =  51.32562 +/- 0.6419 deg
  Elevation = +62.59932 +/- 0.3683 deg
  Vavg      =  55.84463 +/- 0.8155 km/s
  Vinit     =  58.17153 +/- 1.0331 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.14032 +/- 0.7692 deg
  Dec       = +60.92897 +/- 0.2974 deg
  Azimuth   =  51.71412 +/- 0.6419 deg
  Elevation = +62.39912 +/- 0.3683 deg
  Vavg      =  55.95053 +/- 0.8155 km/s
  Vinit     =  58.27744 +/- 1.0331 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.84851 +/- 0.7563 deg
  Dec    = +61.02396 +/- 0.3001 deg
  Vg     =  57.10308 +/- 1.0521 km/s
  Vinf   =  58.17153 +/- 1.0331 km/s
  Zc     =  27.51604 +/- 0.3682 deg
  Zg     =  27.77610 +/- 0.3632 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.16019 +/- 0.4655 deg
  Bg     = +41.63551 +/- 0.3190 deg
  Vh     =  41.27457 +/- 0.9045 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  91.44209 +/- 1.0422 deg
  Bh     = +66.81012 +/- 0.8973 deg
  Vh_x   =   0.40903 +/- 0.2744 km/s
  Vh_y   = -16.24793 +/- 0.9466 km/s
  Vh_z   = -37.93979 +/- 0.6012 km/s
Orbit:
  La Sun = 137.414394 +/- 0.0000 deg
  a      =  19.019627 +/- 22.6372 AU
  e      =   0.950795 +/- 0.0801
  i      = 107.119765 +/- 0.9149 deg
  peri   = 147.391850 +/- 0.6281 deg
  node   = 137.414906 +/- 0.0001 deg
  Pi     = 284.806756 +/- 0.6280 deg
  q      =   0.935863 +/- 0.0020 AU
  f      =  32.604662 +/- 0.6281 deg
  M      =   0.268972 +/- nan deg
  Q      =  37.103390 +/- 45.2735 AU
  n      =   0.011882 +/- 0.0229 deg/day
  T      =  82.947561 +/- 498887584.9903 years
  Last perihelion JD = 2459413.974174 (2021-07-18 11:22:48.623771) +/- 0.5406 days
  Tj     =  -0.075077 +/- 0.4683
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.725717e-03, +5.206744e-06, +2.285957e-02, -4.196162e-08, +3.121129e-04, +6.630818e-04
q   , +5.206744e-06, +2.409982e-06, +3.677512e-04, +5.453637e-11, +9.738965e-06, -8.395928e-07
Tp  , +2.285957e-02, +3.677512e-04, +3.402472e-01, -5.310860e-07, +5.234520e-03, +8.395721e-03
node, -4.196162e-08, +5.453637e-11, -5.310860e-07, +1.169156e-12, -6.892016e-09, -1.845095e-08
peri, +3.121129e-04, +9.738965e-06, +5.234520e-03, -6.892016e-09, +8.880762e-05, +1.090000e-04
i   , +6.630818e-04, -8.395928e-07, +8.395721e-03, -1.845095e-08, +1.090000e-04, +2.911868e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.015450
 a2 = 56.890396

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 1.136e-05 s
  Stddev    = 3.37e-03 s

Begin point on the trajectory:
  Lon =    -0.612261 +/- 0.0007 deg
  Lat =    51.813364 +/- 0.0006 deg
  Ht  = 107460.36 +/- 70.94 m
End point on the trajectory:
  Lon =    -0.666437 +/- 0.0012 deg
  Lat =    51.786791 +/- 0.0006 deg
  Ht  = 98198.00 +/- 108.40 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,   107460.36,    99224.79,          0.020128,     57.58,     12.90,              24.27, 0.1690,    True,    True, {"ff_name": "FF_UK000S_20210810_023759_401_0568064.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   106428.34,   100500.64,          0.011778,     27.20,     18.98,              25.64, 0.1872,    True,    True, {"ff_name": "FF_UK002B_20210810_023755_498_0574720.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   105984.53,    98198.00,          0.017614,     36.82,     22.63,              14.35, 0.0614,   False,    True, {"ff_name": "FF_UK002C_20210810_023757_296_0568320.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,       0,  0.000000, 2459436.609710181598,  98.54826,  60.99053,               36.95542,  37.91356,        36.92710,       37.91944,     98.54826,     +60.99053,      98.56746,      +61.01167,  4014487.44,  -162309.78,  5074492.55,      51.813364,       -0.612261,  107460.36,  172497.07,       0.00,               74.17,   -64.74,      0.00,           62820.70,    -15.18,    -67.87,          83.16,  +2.27,  +1.09
  1,     UK000S,       0,  0.040300, 2459436.609710648190,  99.21920,  60.88914,               36.79744,  37.59594,        36.81371,       37.59254,     99.21920,     +60.88914,      99.20812,      +60.87698,  4013677.84,  -163140.68,  5072389.52,      51.807256,       -0.624738,  105328.10,  170315.13,    2401.79,             2327.62,  -155.60,  59597.74,           62820.70,      8.72,     38.66,          47.99,  +2.00,  +0.84
  2,     UK000S,       0,  0.080632, 2459436.609711114783,  99.92591,  60.70937,               36.69788,  37.21523,        36.68551,       37.21781,     99.92591,     +60.70937,      99.93501,      +60.71860,  4012775.30,  -164066.98,  5070045.07,      51.800441,       -0.638633,  102951.28,  167890.57,    5079.29,             5005.12,   175.73,  66386.55,           62820.70,     -6.54,    -29.11,          36.65,  +1.82,  +0.69
  3,     UK000S,       0,  0.120944, 2459436.609711581375, 100.58768,  60.53430,               36.60595,  36.85377,        36.56475,       36.86232,    100.58768,     +60.53430,     100.61805,      +60.56503,  4011942.52,  -164921.67,  5067881.85,      51.794147,       -0.651473,  100758.37,  165660.02,    7549.82,             7475.66,   301.25,  61285.29,           62820.70,    -21.50,    -96.09,         122.60,  +1.66,  +0.56
  4,     UK000S,       0,  0.161176, 2459436.609712047037, 101.09640,  60.44765,               36.48642,  36.60655,        36.47782,       36.60834,    101.09640,     +60.44765,     101.10339,      +60.45407,  4011360.10,  -165519.42,  5066368.94,      51.789742,       -0.660506,   99224.79,  164102.48,    9277.66,             9203.49,  -311.27,  42946.84,           58819.60,     -4.49,    -19.93,          25.68,  +2.79,  +1.71
  0,     UK002B,       0,  0.011340, 2459436.609710329678, 108.67359,  69.68497,               24.97938,  40.21371,        24.96267,       40.22020,    108.67359,     +69.68497,     108.68280,      +69.69892,  4014095.59,  -162711.93,  5073474.69,      51.810408,       -0.618271,  106428.34,  162937.16,       0.00,             1088.29,   289.73,      0.00,           54914.15,    -23.28,    -33.38,          51.52,  +2.50,  +1.44
  1,     UK002B,       0,  0.051508, 2459436.609710794874, 109.64506,  69.60804,               24.77143,  39.90589,        24.75316,       39.91298,    109.64506,     +69.60804,     109.65598,      +69.62329,  4013353.08,  -163473.99,  5071545.92,      51.804805,       -0.629730,  104472.83,  160959.38,    2202.77,             3291.06,   155.87,  54838.98,           54914.15,    -25.24,    -36.17,          56.52,  +2.36,  +1.33
  2,     UK002B,       0,  0.091664, 2459436.609711259604, 110.55829,  69.53773,               24.56895,  39.61901,        24.55726,       39.62354,    110.55829,     +69.53773,     110.56593,      +69.54749,  4012670.40,  -164174.64,  5069772.58,      51.799649,       -0.640281,  102675.03,  159145.99,    4228.03,             5316.33,  -154.80,  50434.87,           54914.15,    -16.03,    -22.96,          36.29,  +1.77,  +0.76
  3,     UK002B,       0,  0.131852, 2459436.609711724799, 111.68480,  69.44752,               24.31598,  39.26444,        24.31758,       39.26382,    111.68480,     +69.44752,     111.68430,      +69.44618,  4011844.65,  -165022.12,  5067627.61,      51.793407,       -0.653014,  100500.64,  156960.42,    6677.73,             7766.02,   -42.90,  60955.86,           54914.15,      2.18,      3.12,           5.00,  +2.06,  +1.08
  0,     UK002C,       0,  0.024803, 2459436.609710170422,  69.86696,  53.02982,               57.68044,  47.00857,        57.68641,       47.00950,     69.86696,     +53.02982,      69.86236,      +53.02669,  4013927.08,  -162884.88,  5073036.97,      51.809137,       -0.620776,  105984.53,  143703.09,       0.00,             1588.19,     6.47,      0.00,           58729.92,     -5.50,      8.91,          15.03,  +1.64,  +0.85
  1,     UK002C,       0,  0.064995, 2459436.609710635617,  70.19712,  52.89127,               57.71795,  46.76755,        57.76192,       46.77431,     70.19712,     +52.89127,      70.16333,      +52.86819,  4013155.16,  -163677.12,  5071031.79,      51.803310,       -0.632682,  103951.60,  141488.42,    2290.03,             3878.23,   -41.53,  56977.29,           58729.92,    -39.91,     64.95,         111.14,  +1.55,  +0.80
  2,     UK002C,       0,  0.105203, 2459436.609711100813,  70.50857,  52.71506,               57.80887,  46.51733,        57.84214,       46.52246,     70.50857,     +52.71506,      70.48306,      +52.69759,  4012354.97,  -164498.36,  5068953.24,      51.797265,       -0.645023,  101844.43,  139195.67,    4663.87,             6252.07,    -6.65,  59039.07,           58729.92,    -29.86,     48.55,          84.46,  +1.17,  +0.45
  3,     UK002C,       0,  0.145427, 2459436.609711566474,  70.82071,  52.52004,               57.92020,  46.25647,        57.92581,       46.25734,     70.82071,     +52.52004,      70.81683,      +52.51709,  4011540.51,  -165334.26,  5066837.59,      51.791107,       -0.657586,   99699.83,  136865.09,    7080.08,             8668.27,    69.66,  60068.71,           58729.92,     -4.98,      8.08,          14.30,  +1.74,  +1.06
  4,     UK002C,       0,  0.185583, 2459436.609712031204,  71.05863,  52.39037,               57.97913,  46.06629,        57.98451,       46.06712,     71.05863,     +52.39037,      71.05508,      +52.38754,  4010970.13,  -165919.65,  5065355.95,      51.786791,       -0.666437,   98198.00,  135232.75,    8772.20,            10360.40,  -574.15,  42138.72,           55560.19,     -4.74,      7.69,          13.78,  +5.26,  +4.60

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.