Orbital Analysis for matched events on 20210813_232636.920_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.05° Bg 39.77° Vg 58.75km/s
mass 0.04583g, abs. mag -0.8
Path Details
------------
start 1.41° 53.99° 112.31km
end   1.24° 53.89° 97.40km

Orbit Details
-------------
Semimajor axis 29.83A.U., eccentricity 0.97, inclination 111.24°, Period 162.89Y, LA Sun 141.13°, 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: 2459440.476816207636
Time: 2021-08-13 23:26:36.920340 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002K
 Convergence angle = 32.92268 deg
 R.A. =  56.94458  Dec = +63.99862 deg

Best intersection: Stations UK000Z and UK002K with Qconv = 32.92 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2735542.19 +/- 3530.06 m
 Y =  -2671902.37 +/- 2303.49 m
 Z =   5227251.80 +/- 4387.72 m
 Vx =    20008.16 +/- 25238.99 m/s
 Vy =    22378.40 +/- 18248.95 m/s
 Vz =    51704.72 +/- 36132.99 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.794696e+07, +1.117577e+07, +1.999968e+07, +2.164608e+07, +2.446796e+07, +5.645350e+07
+1.117577e+07, +7.508529e+06, +1.407226e+07, +1.788399e+07, +2.022107e+07, +4.664953e+07
+1.999968e+07, +1.407226e+07, +2.706229e+07, +3.711951e+07, +4.196727e+07, +9.683585e+07
+2.164608e+07, +1.788399e+07, +3.711951e+07, +6.158784e+07, +6.958998e+07, +1.605448e+08
+2.446796e+07, +2.022107e+07, +4.196727e+07, +6.958998e+07, +7.867858e+07, +1.815059e+08
+5.645350e+07, +4.664953e+07, +9.683585e+07, +1.605448e+08, +1.815059e+08, +4.188140e+08

Timing offsets (from input data):
    UK000Z: -0.000063 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:26:36.920340 UTC
  Lon     = ++1.407601 +/- 0.0033 deg
  Lat     = +53.993339 +/- 0.0010 deg
  Lat geo = +53.813310 +/- 0.0010 deg
  Ht      =  112378.56 +/- 208.27 m

  JD dynamic   = 2459440.477616948541 
  LST apparent = 315.6742786929 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.20063 +/- 0.3869 deg
  Dec       = +59.86147 +/- 0.2770 deg
  Azimuth   =  43.62320 +/- 0.4400 deg
  Elevation = +43.35994 +/- 0.1116 deg
  Vavg      =  58.63516 +/- 0.7913 km/s
  Vinit     =  59.78710 +/- 20.0612 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.17739 +/- 0.3869 deg
  Dec       = +59.63114 +/- 0.2770 deg
  Azimuth   =  43.88808 +/- 0.4400 deg
  Elevation = +43.23335 +/- 0.1116 deg
  Vavg      =  58.77551 +/- 0.7913 km/s
  Vinit     =  59.92746 +/- 20.0612 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.46437 +/- 0.4139 deg
  Dec    = +59.52533 +/- 0.2683 deg
  Vg     =  58.74872 +/- 1.1492 km/s
  Vinf   =  59.78710 +/- 1.1289 km/s
  Zc     =  46.77051 +/- 0.1114 deg
  Zg     =  47.20460 +/- 0.1123 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.05283 +/- 0.3561 deg
  Bg     = +39.77292 +/- 0.2025 deg
  Vh     =  41.49276 +/- 0.8932 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.93741 +/- 2.0550 deg
  Bh     = +64.93259 +/- 0.7112 deg
  Vh_x   =  -1.55131 +/- 0.6806 km/s
  Vh_y   = -17.51125 +/- 0.7826 km/s
  Vh_z   = -37.58455 +/- 0.6041 km/s
Orbit:
  La Sun = 141.126548 +/- -0.0000 deg
  a      =  29.826174 +/- 30.3462 AU
  e      =   0.967953 +/- 0.0782
  i      = 111.237715 +/- 1.0851 deg
  peri   = 152.269875 +/- 2.1018 deg
  node   = 141.125653 +/- 0.0001 deg
  Pi     = 293.395528 +/- 2.1018 deg
  q      =   0.955843 +/- 0.0060 AU
  f      =  27.726176 +/- 2.1019 deg
  M      =   0.117922 +/- nan deg
  Q      =  58.696505 +/- 60.6937 AU
  n      =   0.006051 +/- 0.0312 deg/day
  T      = 162.890949 +/- 339934610.0266 years
  Last perihelion JD = 2459420.988688 (2021-07-25 11:43:42.630809) +/- 1.4895 days
  Tj     =  -0.261070 +/- 0.4604
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.741133e-03, +2.844243e-04, +8.854168e-02, -6.856955e-08, +1.784351e-03, +9.355629e-04
q   , +2.844243e-04, +2.282010e-05, +6.947188e-03, -5.076342e-09, +1.411073e-04, +6.930339e-05
Tp  , +8.854168e-02, +6.947188e-03, +2.134911e+00, -1.599206e-06, +4.321963e-02, +2.182830e-02
node, -6.856955e-08, -5.076342e-09, -1.599206e-06, +1.311685e-12, -3.209548e-08, -1.788994e-08
peri, +1.784351e-03, +1.411073e-04, +4.321963e-02, -3.209548e-08, +8.759698e-04, +4.381174e-04
i   , +9.355629e-04, +6.930339e-05, +2.182830e-02, -1.788994e-08, +4.381174e-04, +2.440041e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 93.624916

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 2.240e-06 s
  Stddev    = 1.50e-03 s

Begin point on the trajectory:
  Lon =     1.406885 +/- 0.0032 deg
  Lat =    53.992896 +/- 0.0008 deg
  Ht  = 112313.10 +/- 191.86 m
End point on the trajectory:
  Lon =     1.241898 +/- 0.0012 deg
  Lat =    53.891473 +/- 0.0002 deg
  Ht  = 97396.90 +/- 50.56 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.000080,  40.318695,   108514.39,    97396.90,          0.012093,     13.04,     50.52,              21.27, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_232634_601_0284416.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   112313.10,    97537.43,          0.009674,     22.24,     16.44,              14.15, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_232631_628_0289536.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,     UK000Z,       0,  0.082807, 2459440.476817166433,  48.66556,  35.20105,               62.87405,  24.09692,        62.87479,       24.09749,     48.66556,     +35.20105,      48.66484,      +35.20104,  2733658.12, -2674009.64,  5222383.01,      53.967156,       +1.364943,  108514.39,  254983.43,       0.00,             5629.87,   357.98,      0.00,           56602.26,     -3.78,     -0.98,           3.16,  +2.43,  +0.40
  1,     UK000Z,       0,  0.122967, 2459440.476817631628,  48.68992,  35.00211,               62.99999,  23.93339,        63.01564,       23.94550,     48.68992,     +35.00211,      48.66756,      +35.00192,  2732947.59, -2674804.33,  5220546.89,      53.957270,       +1.348820,  107057.78,  253046.32,    2123.14,             7753.01,    80.07,  52866.99,           56602.26,    -80.15,    -20.67,          67.47,  +1.93,  -0.09
  2,     UK000Z,       0,  0.163107, 2459440.476818095893,  48.65660,  34.79376,               63.17144,  23.79349,        63.16247,       23.78655,     48.65660,     +34.79376,      48.67037,      +34.79386,  2732216.79, -2675621.71,  5218658.37,      53.947095,       +1.332241,  105559.97,  251057.45,    4306.87,             9936.73,  -136.06,  54402.80,           56602.26,     45.59,     11.82,          38.70,  +1.53,  -0.47
  3,     UK000Z,       0,  0.203303, 2459440.476818561088,  48.67955,  34.54723,               63.33146,  23.59434,        63.33611,       23.59793,     48.67955,     +34.54723,      48.67364,      +34.54717,  2731365.82, -2676573.49,  5216459.30,      53.935238,       +1.312964,  103816.34,  248747.25,    6849.69,            12479.56,     3.56,  63260.68,           56602.26,    -23.42,     -6.05,          20.06,  +1.24,  -0.74
  4,     UK000Z,       0,  0.243459, 2459440.476819025818,  48.66815,  34.33285,               63.49156,  23.43782,        63.48651,       23.43392,     48.66815,     +34.33285,      48.67651,      +34.33290,  2730638.57, -2677386.89,  5214579.96,      53.925097,       +1.296467,  102326.62,  246775.32,    9022.81,            14652.67,  -224.13,  54116.76,           56698.26,     25.29,      6.55,          21.84,  +1.25,  -0.71
  5,     UK000Z,       0,  0.283683, 2459440.476819491480,  48.70463,  34.05169,               63.66578,  23.20466,        63.68351,       23.21831,     48.70463,     +34.05169,      48.68015,      +34.05147,  2729702.07, -2678434.33,  5212159.87,      53.912029,       +1.275270,  100408.82,  244243.82,   11821.21,            17451.07,   169.39,  69570.43,           58567.45,    -87.79,    -22.63,          76.56,  +1.06,  -0.88
  6,     UK000Z,       0,  0.323847, 2459440.476819956675,  48.68048,  33.81822,               63.84724,  23.04017,        63.84627,       23.03943,     48.68048,     +33.81822,      48.68322,      +33.81824,  2728939.50, -2679287.24,  5210189.25,      53.901379,       +1.257980,   98847.66,  242185.20,   14099.86,            19729.73,    46.75,  56733.74,           59038.12,      4.73,      1.22,           4.16,  +1.25,  -0.67
  7,     UK000Z,       0,  0.364007, 2459440.476820421405,  48.66847,  33.59784,               64.01078,  22.87895,        63.99958,       22.87032,     48.66847,     +33.59784,      48.68613,      +33.59797,  2728230.69, -2680080.02,  5208357.56,      53.891473,       +1.241898,   97396.90,  240274.70,   16217.88,            21847.75,  -236.27,  52739.57,           58709.51,     54.59,     14.15,          48.41,  +1.57,  -0.33
  8,     UK000Z,       1,  0.404123, 2459440.476820885669,  48.62072,  33.41992,               64.16879,  22.76927,        64.12289,       22.73384,     48.62072,     +33.41992,      48.68854,      +33.42036,  2727666.30, -2680711.27,  5206899.07,      53.883580,       +1.229058,   96241.96,  238754.13,   17904.36,            23534.23,  -948.22,  42040.04,           57446.66,    222.57,     58.07,         198.72,  +6.18,  +4.29
  0,     UK002K,       0,  0.000000, 2459440.476816207636,  32.87839,  44.77676,               66.04354,  40.31611,        66.04991,       40.33535,     32.87839,     +44.77676,      32.85324,      +44.78544,  2735510.28, -2671938.06,  5227169.35,      53.992896,       +1.406885,  112313.10,  171434.61,       0.00,               95.34,  -225.76,      0.00,           62382.64,    -35.34,    -47.72,          71.45,  +2.78,  +1.61
  1,     UK002K,       0,  0.040156, 2459440.476816672366,  32.66640,  44.54280,               66.40551,  40.28061,        66.40176,       40.26938,     32.66640,     +44.54280,      32.68120,      +44.53774,  2734605.53, -2672949.99,  5224831.30,      53.980328,       +1.386398,  110457.19,  168852.70,    2703.53,             2798.86,    76.96,  67325.61,           62382.64,     20.28,     27.50,          41.74,  +2.53,  +1.39
  2,     UK002K,       0,  0.080332, 2459440.476817137562,  32.52272,  44.30236,               66.73282,  40.20368,        66.73368,       40.20621,     32.52272,     +44.30236,      32.51977,      +44.30350,  2733774.70, -2673879.24,  5222684.30,      53.968778,       +1.367572,  108753.44,  166484.67,    5186.15,             5281.48,   157.57,  61793.58,           62382.64,     -4.51,     -6.10,           9.40,  +1.88,  +0.77
  3,     UK002K,       0,  0.120492, 2459440.476817602292,  32.36235,  44.07724,               67.05483,  40.14564,        67.05436,       40.14428,     32.36235,     +44.07724,      32.36463,      +44.07663,  2732992.16, -2674754.49,  5220662.05,      53.957890,       +1.349831,  107149.13,  164257.03,    7524.51,             7619.84,    94.88,  58226.11,           62382.64,      2.41,      3.26,           5.09,  +1.56,  +0.48
  4,     UK002K,       0,  0.160652, 2459440.476818067022,  32.22103,  43.85460,               67.36268,  40.07869,        67.36438,       40.08357,     32.22103,     +43.85460,      32.21539,      +43.85678,  2732253.67, -2675580.46,  5218753.67,      53.947609,       +1.333080,  105635.54,  162157.37,    9731.21,             9826.55,   -99.47,  54947.73,           60460.62,     -8.49,    -11.49,          18.17,  +1.46,  +0.41
  5,     UK002K,       0,  0.200824, 2459440.476818532217,  32.05694,  43.61258,               67.70362,  40.01153,        67.70506,       40.01562,     32.05694,     +43.61258,      32.05248,      +43.61441,  2731462.43, -2676465.43,  5216708.97,      53.936584,       +1.315144,  104014.27,  159911.65,   12095.53,            12190.87,  -136.91,  58855.00,           59682.00,     -7.03,     -9.52,          15.27,  +1.44,  +0.42
  6,     UK002K,       0,  0.241012, 2459440.476818996947,  31.88649,  43.34687,               68.07182,  39.93230,        68.07475,       39.94049,     31.88649,     +43.34687,      31.87694,      +43.35050,  2730626.74, -2677400.13,  5214549.38,      53.924932,       +1.296211,  102302.38,  157544.14,   14592.70,            14688.04,   -42.46,  62137.23,           59667.15,    -13.87,    -18.78,          30.57,  +1.17,  +0.18
  7,     UK002K,       0,  0.281208, 2459440.476819462143,  31.69570,  43.06878,               68.46470,  39.85605,        68.46594,       39.85946,     31.69570,     +43.06878,      31.69249,      +43.07029,  2729767.14, -2678361.55,  5212328.03,      53.912937,       +1.276742,  100542.06,  155113.57,   17161.29,            17256.62,   122.92,  63901.52,           60014.11,     -5.69,     -7.71,          12.75,  +1.16,  +0.21
  8,     UK002K,       0,  0.321388, 2459440.476819927339,  31.50425,  42.80939,               68.83949,  39.79226,        68.83560,       39.78168,     31.50425,     +42.80939,      31.51916,      +42.80472,  2728976.73, -2679245.60,  5210285.45,      53.901899,       +1.258826,   98923.86,  152882.11,   19523.15,            19618.49,    82.54,  58782.15,           60093.82,     17.40,     23.61,          39.57,  +1.60,  +0.68
  9,     UK002K,       0,  0.361552, 2459440.476820392068,  31.35103,  42.57626,               69.16450,  39.72436,        69.16011,       39.71260,     31.35103,     +42.57626,      31.36760,      +42.57108,  2728299.36, -2680003.22,  5208535.01,      53.892433,       +1.243450,   97537.43,  150971.93,   21547.23,            21642.57,  -294.68,  50395.22,           59605.49,     19.12,     25.96,          44.06,  +1.66,  +0.77

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.