Orbital Analysis for matched events on 20210813_013101.266_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.22° Bg 36.64° Vg 60.01km/s
mass 0.14140g, abs. mag -2.2
Path Details
------------
start 3.12° 51.62° 108.24km
end   2.92° 51.55° 83.77km

Orbit Details
-------------
Semimajor axis 12.52A.U., eccentricity 0.92, inclination 116.52°, Period 44.31Y, LA Sun 140.25°, last Perihelion 2021-07-25

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: 2459439.563209097832
Time: 2021-08-13 01:31:01.306165 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK0032
 Convergence angle = 47.49786 deg
 R.A. =  46.80026  Dec = +55.73012 deg

Best intersection: Stations UK000C and UK0032 with Qconv = 47.50 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3941666.31 +/- 118.16 m
 Y =   -866228.88 +/- 103.68 m
 Z =   5063700.07 +/- 28.07 m
 Vx =    23513.93 +/- 377.01 m/s
 Vy =    24739.43 +/- 292.74 m/s
 Vz =    50588.31 +/- 397.61 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.431994e+04, +1.160323e+04, +1.032081e+03, +3.940918e+04, +2.808796e+04, -6.945007e+03
+1.160323e+04, +1.076069e+04, +1.206652e+03, +2.990999e+04, +2.444366e+04, -4.902617e+03
+1.032081e+03, +1.206652e+03, +8.557010e+02, -1.086213e+03, -7.391857e+02, +6.786237e+01
+3.940918e+04, +2.990999e+04, -1.086213e+03, +1.399304e+05, +1.006574e+05, -2.457216e+04
+2.808796e+04, +2.444366e+04, -7.391857e+02, +1.006574e+05, +8.296650e+04, -1.605206e+04
-6.945007e+03, -4.902617e+03, +6.786237e+01, -2.457216e+04, -1.605206e+04, +7.269072e+03

Timing offsets (from input data):
    UK000C: 0.000669 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:31:01.306165 UTC
  Lon     = ++3.137776 +/- 0.0018 deg
  Lat     = +51.629700 +/- 0.0006 deg
  Lat geo = +51.445451 +/- 0.0006 deg
  Ht      =  110115.92 +/- 68.43 m

  JD dynamic   = 2459439.564010303002 
  LST apparent = 347.6055833289 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.45484 +/- 0.1864 deg
  Dec       = +55.99297 +/- 0.3917 deg
  Azimuth   =  58.98736 +/- 0.7106 deg
  Elevation = +56.04908 +/- 0.0868 deg
  Vavg      =  61.36210 +/- 0.2953 km/s
  Vinit     =  61.02558 +/- 0.2032 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.70852 +/- 0.1864 deg
  Dec       = +55.79714 +/- 0.3917 deg
  Azimuth   =  59.24039 +/- 0.7106 deg
  Elevation = +55.85283 +/- 0.0868 deg
  Vavg      =  61.50350 +/- 0.2953 km/s
  Vinit     =  61.16698 +/- 0.2032 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.54972 +/- 0.1913 deg
  Dec    = +55.81992 +/- 0.3939 deg
  Vg     =  60.00840 +/- 0.2067 km/s
  Vinf   =  61.02558 +/- 0.2032 km/s
  Zc     =  34.04618 +/- 0.0858 deg
  Zg     =  34.34103 +/- 0.0854 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.21582 +/- 0.2711 deg
  Bg     = +36.64091 +/- 0.3460 deg
  Vh     =  40.99097 +/- 0.0554 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  76.59147 +/- 0.9358 deg
  Bh     = +60.89007 +/- 0.4850 deg
  Vh_x   =  -4.62430 +/- 0.3680 km/s
  Vh_y   = -19.39798 +/- 0.2411 km/s
  Vh_z   = -35.81332 +/- 0.1697 km/s
Orbit:
  La Sun = 140.249194 +/- 0.0000 deg
  a      =  12.521776 +/- 0.6639 AU
  e      =   0.923009 +/- 0.0049
  i      = 116.519086 +/- 0.6336 deg
  peri   = 154.011774 +/- 0.4462 deg
  node   = 140.248815 +/- 0.0000 deg
  Pi     = 294.260589 +/- 0.4462 deg
  q      =   0.964058 +/- 0.0017 AU
  f      =  25.984466 +/- 0.4462 deg
  M      =   0.413930 +/- 0.0431 deg
  Q      =  24.079493 +/- 1.3280 AU
  n      =   0.022244 +/- 0.0022 deg/day
  T      =  44.309772 +/- 3.3672 years
  Last perihelion JD = 2459420.955045 (2021-07-25 10:55:15.900367) +/- 0.2904 days
  Tj     =  -0.117362 +/- 0.0295
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.677708e-05, -1.684642e-06, -1.107027e-05, +1.925868e-10, -4.165075e-06, -2.732260e-06
q   , -1.684642e-06, +3.105781e-06, +5.184193e-04, -1.213193e-09, +1.406943e-05, +1.687242e-05
Tp  , -1.107027e-05, +5.184193e-04, +8.936620e-02, -2.077652e-07, +2.384883e-03, +2.888840e-03
node, +1.925868e-10, -1.213193e-09, -2.077652e-07, +6.436257e-13, -5.566309e-09, -8.959177e-09
peri, -4.165075e-06, +1.406943e-05, +2.384883e-03, -5.566309e-09, +6.420419e-05, +7.740413e-05
i   , -2.732260e-06, +1.687242e-05, +2.888840e-03, -8.959177e-09, +7.740413e-05, +1.247166e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 21.320072
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 9.457e-06 s
  Stddev    = 3.08e-03 s

Begin point on the trajectory:
  Lon =     3.122411 +/- 0.0015 deg
  Lat =    51.623950 +/- 0.0006 deg
  Ht  = 108240.75 +/- 46.48 m
End point on the trajectory:
  Lon =     2.919227 +/- 0.0015 deg
  Lat =    51.548344 +/- 0.0007 deg
  Ht  = 83766.88 +/- 40.98 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   105336.09,    86895.21,          0.022637,     21.96,    109.35,              37.70, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210813_013101_234_0481024.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,  41.952868,   0.000000,   108240.75,    83766.88,          0.010827,     31.36,     41.58,              58.48, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_013053_030_0478464.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,     UK000C,       0,  0.094676, 2459439.563210186083,  68.30568,  21.58679,               80.10185,  20.00396,        80.13394,       20.01600,     68.30568,     +21.58679,      68.27322,      +21.57582,  3939445.72,  -868565.20,  5058922.65,      51.615031,       +3.098372,  105336.09,  290781.40,       0.00,             5763.09,    27.39,      0.00,           62321.81,   -161.51,     32.63,         116.88,  +1.03,  -1.29
  1,     UK000C,       0,  0.134856, 2459439.563210650813,  68.38510,  21.31534,               80.23419,  19.75165,        80.24470,       19.75559,     68.38510,     +21.31534,      68.37489,      +21.31175,  3938558.15,  -869499.03,  5057013.11,      51.609158,       +3.082535,  103426.01,  288959.56,    2303.51,             8066.60,  -121.10,  57329.89,           62321.81,    -52.66,     10.61,          38.35,  +1.02,  -1.28
  2,     UK000C,       0,  0.175056, 2459439.563211116474,  68.47183,  21.00787,               80.38568,  19.46754,        80.36936,       19.46140,     68.47183,     +21.00787,      68.48928,      +21.01343,  3937569.28,  -870539.44,  5054885.63,      51.602608,       +3.064904,  101298.22,  286939.28,    4869.92,            10633.01,    -7.92,  63841.03,           62321.81,     81.34,    -16.33,          59.64,  +0.16,  -2.13
  3,     UK000C,       0,  0.215284, 2459439.563211581670,  68.59829,  20.70092,               80.50642,  19.15900,        80.49827,       19.15594,     68.59829,     +20.70092,      68.60752,      +20.70370,  3936557.38,  -871604.07,  5052708.63,      51.595899,       +3.046860,   99121.21,  284881.43,    7496.09,            13259.17,   163.31,  65282.00,           62321.81,     40.38,     -8.11,          29.82,  -0.05,  -2.32
  4,     UK000C,       0,  0.255464, 2459439.563212046865,  68.67329,  20.42427,               80.64350,  18.90469,        80.60932,       18.89183,     68.67329,     +20.42427,      68.70936,      +20.43591,  3935693.93,  -872512.52,  5050850.99,      51.590168,       +3.031432,   97263.81,  283131.38,    9736.99,            15500.07,   -47.80,  55771.54,           61359.25,    168.63,    -33.77,         125.29,  -0.23,  -2.49
  5,     UK000C,       0,  0.295692, 2459439.563212512527,  68.81058,  20.13071,               80.74522,  18.59893,        80.73382,       18.59465,     68.81058,     +20.13071,      68.82348,      +20.13459,  3934735.46,  -873520.95,  5048788.91,      51.583800,       +3.014320,   95202.26,  281198.19,   12224.51,            17987.60,   -15.21,  61835.67,           61152.30,     55.94,    -11.24,          41.85,  -0.61,  -2.86
  6,     UK000C,       0,  0.335904, 2459439.563212978188,  68.91182,  19.81891,               80.88567,  18.30141,        80.86020,       18.29183,     68.91182,     +19.81891,      68.93928,      +19.82757,  3933772.44,  -874534.16,  5046717.05,      51.577396,       +2.997121,   93131.23,  279264.82,   14723.84,            20486.92,    30.15,  62153.60,           61185.71,    124.29,    -24.92,          93.63,  -0.69,  -2.92
  7,     UK000C,       0,  0.376124, 2459439.563213443384,  69.02326,  19.50939,               81.01608,  17.99898,        80.98656,       17.98789,     69.02326,     +19.50939,      69.05504,      +19.51942,  3932819.27,  -875537.01,  5044666.39,      51.571051,       +2.980090,   91081.67,  277360.15,   17197.58,            22960.67,    49.45,  61505.33,           61226.28,    143.27,    -28.71,         108.67,  -0.59,  -2.81
  8,     UK000C,       0,  0.416332, 2459439.563213909045,  69.14681,  19.24245,               81.10736,  17.72097,        81.09853,       17.71765,     69.14681,     +19.24245,      69.15757,      +19.24545,  3931982.53,  -876417.36,  5042866.20,      51.565475,       +2.965114,   89282.66,  275694.28,   19369.18,            25132.26,  -232.67,  54009.12,           60764.04,     42.61,     -8.56,          32.52,  -0.50,  -2.70
  9,     UK000C,       0,  0.456592, 2459439.563214374706,  69.26882,  18.86821,               81.27265,  17.36248,        81.24881,       17.35352,     69.26882,     +18.86821,      69.29511,      +18.87631,  3930871.92,  -877585.86,  5040476.81,      51.558067,       +2.945284,   86895.21,  273497.91,   22251.55,            28014.64,   192.81,  71593.91,           61120.27,    114.47,    -22.96,          88.05,  +0.58,  -1.60
  0,     UK0032,       1,  0.000000, 2459439.563209097832,  35.31788,  -1.16105,              123.63306,  21.32428,       123.68589,       21.36191,     35.31788,      -1.16105,      35.25642,       -1.15314,  3941683.74,  -866210.54,  5063737.57,      51.629815,       +3.138251,  110153.44,  287255.41,       0.00,               45.23,    87.22,      0.00,           60788.93,   -248.20,   -186.77,         223.04,  +4.43,  +2.14
  1,     UK0032,       0,  0.040116, 2459439.563209562097,  35.19913,  -1.54040,              123.94692,  21.05527,       123.94219,       21.05190,     35.19913,      -1.54040,      35.20480,       -1.54112,  3940795.23,  -867145.35,  5061826.02,      51.623950,       +3.122411,  108240.75,  286026.94,    2305.93,             2260.70,  -145.42,  57481.63,           60788.93,     22.12,     16.69,          19.98,  +2.14,  -0.14
  2,     UK0032,       0,  0.080288, 2459439.563210027292,  35.14726,  -1.93364,              124.20502,  20.74033,       124.20082,       20.73734,     35.14726,      -1.93364,      35.15248,       -1.93427,  3939902.53,  -868084.58,  5059905.44,      51.618051,       +3.106492,  106319.25,  284806.24,    4622.76,             4577.53,  -280.11,  57672.75,           60788.93,     19.55,     14.76,          17.74,  +1.04,  -1.23
  3,     UK0032,       0,  0.120492, 2459439.563210492488,  35.09059,  -2.40427,              124.50746,  20.36020,       124.50825,       20.36075,     35.09059,      -2.40427,      35.09018,       -2.40416,  3938845.46,  -869196.74,  5057631.25,      51.611060,       +3.087665,  104044.30,  283380.21,    7366.16,             7320.92,     9.82,  68236.88,           60788.93,     -3.63,     -2.74,           3.31,  +0.76,  -1.50
  4,     UK0032,       1,  0.160624, 2459439.563210956752,  34.98973,  -2.79545,              124.80736,  20.07042,       124.76730,       20.04198,     34.98973,      -2.79545,      35.03723,       -2.80154,  3937959.70,  -870128.67,  5055725.61,      51.605195,       +3.071857,  102138.28,  282198.95,    9664.97,             9619.73,  -140.45,  57281.20,           60729.40,    185.31,    140.12,         169.81,  +0.93,  -1.32
  5,     UK0032,       0,  0.200860, 2459439.563211422414,  34.97726,  -3.26564,              125.06596,  19.66782,       125.06809,       19.66933,     34.97726,      -3.26564,      34.97561,       -3.26532,  3936935.13,  -871206.64,  5053521.32,      51.598404,       +3.053591,   99933.87,  280851.28,   12324.04,            12278.80,    63.20,  66086.87,           61479.21,     -9.83,     -7.42,           9.05,  +0.51,  -1.73
  6,     UK0032,       0,  0.241036, 2459439.563211887609,  34.93819,  -3.66359,              125.31006,  19.34080,       125.32414,       19.35076,     34.93819,      -3.66359,      34.92270,       -3.66146,  3936067.68,  -872119.30,  5051655.06,      51.592649,       +3.038095,   98067.74,  279723.71,   14575.34,            14530.11,  -137.27,  56035.99,           61163.50,    -64.69,    -48.79,          59.75,  +0.25,  -1.98
  7,     UK0032,       0,  0.281216, 2459439.563212352805,  34.86286,  -4.11350,              125.61346,  18.98592,       125.61477,       18.98685,     34.86286,      -4.11350,      34.86249,       -4.11330,  3935086.62,  -873151.49,  5049544.40,      51.586134,       +3.020586,   95957.53,  278466.16,   17121.47,            17076.23,   -43.15,  63368.01,           61215.73,     -6.00,     -4.52,           5.56,  +0.40,  -1.82
  8,     UK0032,       0,  0.321392, 2459439.563212817535,  34.81116,  -4.53384,              125.87853,  18.64477,       125.88374,       18.64844,     34.81116,      -4.53384,      34.80639,       -4.53305,  3934183.09,  -874102.11,  5047600.52,      51.580128,       +3.004442,   94014.31,  277323.01,   19466.40,            19421.17,  -149.98,  58366.58,           61050.16,    -23.74,    -17.92,          22.12,  +0.22,  -1.99
  9,     UK0032,       0,  0.361588, 2459439.563213282730,  34.74740,  -5.00576,              126.18005,  18.26404,       126.18474,       18.26735,     34.74740,      -5.00576,      34.74338,       -5.00505,  3933175.78,  -875161.92,  5045433.39,      51.573425,       +2.986456,   91848.22,  276067.58,   22080.66,            22035.42,    11.29,  65037.66,           61183.48,    -21.35,    -16.11,          19.98,  -0.05,  -2.26
 10,     UK0032,       0,  0.401784, 2459439.563213747926,  34.66962,  -5.49787,              126.50328,  17.87195,       126.49807,       17.86828,     34.66962,      -5.49787,      34.67745,       -5.49867,  3932131.95,  -876260.16,  5043187.66,      51.566471,       +2.967817,   89603.92,  274787.23,   24789.72,            24744.49,   267.37,  67396.34,           61538.73,     23.63,     17.85,          22.23,  +0.13,  -2.06
 11,     UK0032,       0,  0.441968, 2459439.563214213122,  34.65355,  -5.88775,              126.71672,  17.53890,       126.74196,       17.55666,     34.65355,      -5.88775,      34.62558,       -5.88390,  3931324.05,  -877110.16,  5041449.53,      51.561083,       +2.953348,   87867.09,  273808.67,   26886.46,            26841.22,   -88.14,  52178.43,           61383.60,   -114.14,    -86.06,         107.68,  +0.06,  -2.13
 12,     UK0032,       0,  0.482140, 2459439.563214678317,  34.56702,  -6.34625,              127.02827,  17.17945,       127.03285,       17.18267,     34.56702,      -6.34625,      34.56361,       -6.34555,  3930363.29,  -878120.99,  5039382.54,      51.554671,       +2.936168,   85801.93,  272663.14,   29379.91,            29334.68,   -46.21,  62069.38,           61312.45,    -20.65,    -15.58,          19.57,  +0.09,  -2.09
 13,     UK0032,       0,  0.522328, 2459439.563215143513,  34.50568,  -6.80508,              127.31574,  16.80709,       127.32078,       16.81063,     34.50568,      -6.80508,      34.50189,       -6.80431,  3929416.41,  -879117.23,  5037345.40,      51.548344,       +2.919227,   83766.88,  271551.80,   31837.35,            31792.11,   -41.27,  61148.55,           61263.05,    -22.60,    -17.06,          21.51,  +0.36,  -1.81

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.