Orbital Analysis for matched events on 20210816_012356.956_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 69.25° Bg 36.49° Vg 61.40km/s
mass 0.02003g, abs. mag -0.3
Path Details
------------
start -2.78° 52.51° 107.14km
end   -2.93° 52.44° 92.52km

Orbit Details
-------------
Semimajor axis -10.44A.U., eccentricity 1.09, inclination 116.26°, Period 1000000000.00Y, LA Sun 143.13°, 

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: 2459442.558298111428
Time: 2021-08-16 01:23:56.956827 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK0020
 Convergence angle = 62.84293 deg
 R.A. =  57.70338  Dec = +57.68211 deg

Best intersection: Stations UK001L and UK0020 with Qconv = 62.84 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3779835.30 +/- 25.55 m
 Y =  -1164905.03 +/- 49.05 m
 Z =   5122643.75 +/- 83.27 m
 Vx =    17740.47 +/- 403.81 m/s
 Vy =    28068.40 +/- 601.44 m/s
 Vz =    52831.23 +/- 856.42 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.395201e+02, +4.334188e+02, -2.011157e+02, +1.433122e+02, +8.473582e+02, -1.460544e+03
+4.334188e+02, +2.217755e+03, -2.040347e+03, +1.861625e+03, +4.983972e+03, -9.583229e+03
-2.011157e+02, -2.040347e+03, +8.133764e+03, -4.129797e+03, -4.836897e+03, +1.793097e+04
+1.433122e+02, +1.861625e+03, -4.129797e+03, +3.486355e+03, +3.839027e+03, -1.182504e+04
+8.473582e+02, +4.983972e+03, -4.836897e+03, +3.839027e+03, +1.351287e+04, -2.301758e+04
-1.460544e+03, -9.583229e+03, +1.793097e+04, -1.182504e+04, -2.301758e+04, +5.551078e+04

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK001L: 0.000000 s
    UK0020: 0.000048 s

Reference point on the trajectory:
  Time: 2021-08-16 01:23:56.956827 UTC
  Lon     = +-2.780509 +/- 0.0007 deg
  Lat     = +52.510663 +/- 0.0005 deg
  Lat geo = +52.327734 +/- 0.0005 deg
  Ht      =  107144.77 +/- 70.67 m

  JD dynamic   = 2459442.559098852333 
  LST apparent = 342.8712586070 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.70531 +/- 0.2652 deg
  Dec       = +57.85034 +/- 0.2497 deg
  Azimuth   =  51.75423 +/- 0.3441 deg
  Elevation = +49.15880 +/- 0.1783 deg
  Vavg      =  59.74468 +/- 0.1601 km/s
  Vinit     =  62.39950 +/- 0.8419 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  57.83443 +/- 0.2652 deg
  Dec       = +57.63438 +/- 0.2497 deg
  Azimuth   =  52.00353 +/- 0.3441 deg
  Elevation = +49.00155 +/- 0.1783 deg
  Vavg      =  59.89330 +/- 0.1601 km/s
  Vinit     =  62.54812 +/- 0.8419 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.84600 +/- 0.2637 deg
  Dec    = +57.63539 +/- 0.2514 deg
  Vg     =  61.40458 +/- 0.8559 km/s
  Vinf   =  62.39950 +/- 0.8419 km/s
  Zc     =  40.95465 +/- 0.1778 deg
  Zg     =  41.29854 +/- 0.1782 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  69.24557 +/- 0.1768 deg
  Bg     = +36.49178 +/- 0.2505 deg
  Vh     =  42.86051 +/- 0.7697 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.71068 +/- 0.7701 deg
  Bh     = +58.43161 +/- 0.5215 deg
  Vh_x   =  -0.11330 +/- 0.2909 km/s
  Vh_y   = -22.43787 +/- 0.6714 km/s
  Vh_z   = -36.51783 +/- 0.5388 km/s
Orbit:
  La Sun = 143.126237 +/- 0.0000 deg
  a      = -10.442394 +/- 51.1505 AU
  e      =   1.087918 +/- 0.0673
  i      = 116.260917 +/- 0.6527 deg
  peri   = 145.155361 +/- 1.3374 deg
  node   = 143.125699 +/- 0.0000 deg
  Pi     = 288.281060 +/- 1.3374 deg
  q      =   0.918078 +/- 0.0041 AU
  f      =  34.840836 +/- 1.3375 deg
  M      =        nan +/- nan deg
  Q      = -21.802866 +/- 102.3014 AU
  n      =   0.029208 +/- 0.0157 deg/day
  T      = 1000000000.000000 +/- 489897746.6350 years
  Last perihelion JD = NaN 
  Tj     =  -1.035436 +/- 0.4001
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.679854e-04, +2.648778e-05, +7.701138e-03, +4.450481e-09, +1.532497e-04, -6.167709e-05
q   , +2.648778e-05, +2.500868e-06, +6.176004e-04, +3.719557e-10, +1.300857e-05, -5.154505e-06
Tp  , +7.701138e-03, +6.176004e-04, +1.679222e-01, +9.842486e-08, +3.418005e-03, -1.363985e-03
node, +4.450481e-09, +3.719557e-10, +9.842486e-08, +6.188006e-14, +2.021994e-09, -8.575751e-10
peri, +1.532497e-04, +1.300857e-05, +3.418005e-03, +2.021994e-09, +7.040689e-05, -2.802084e-05
i   , -6.167709e-05, -5.154505e-06, -1.363985e-03, -8.575751e-10, -2.802084e-05, +1.188486e-05

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

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 5.929e-06 s
  Stddev    = 2.44e-03 s

Begin point on the trajectory:
  Lon =    -2.780555 +/- 0.0007 deg
  Lat =    52.510641 +/- 0.0004 deg
  Ht  = 107140.19 +/- 55.49 m
End point on the trajectory:
  Lon =    -2.925851 +/- 0.0003 deg
  Lat =    52.441220 +/- 0.0003 deg
  Ht  = 92524.70 +/- 23.15 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
    UK0006,    True,    -1.306160,    51.883100,   80.00,   0.000398,  44.243355,   101432.49,    92710.91,          0.250702,       nan,       nan,              69.43, 0.0000,    True,    True, {"ff_name": "FF_UK0006_20210816_012353_418_0475648.fits"}
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.012566,  31.499030,   107140.19,    92524.70,          0.013852,      8.90,     38.14,              69.43, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210816_012354_601_0476672.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.355389,  20.943372,   103456.47,    92543.93,          0.014447,     44.29,     37.04,              35.69, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210816_012352_239_0470528.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,     UK0006,       1,  0.122653, 2459442.558299531229, 258.05986,  48.93465,              303.37968,  38.27591,       303.14456,       38.43275,    258.05986,     +48.93465,     258.42144,      +48.88695,  3777687.98, -1168302.45,  5116249.01,      52.483602,       -2.837230,  101432.49,  161084.70,       0.00,             7552.89,   414.42,      0.00,           57514.01,   -663.47,    151.38,         871.39,  +1.36,  +0.32
  1,     UK0006,       1,  0.163297, 2459442.558300001547, 257.83108,  48.18648,              302.75755,  37.69090,       302.51792,       37.84984,    257.83108,     +48.18648,     258.19542,      +48.13847,  3777051.44, -1169309.57,  5114353.39,      52.475566,       -2.854068,   99739.87,  160411.14,    2238.94,             9791.83,   117.19,  55086.49,           57514.01,   -674.95,    153.95,         890.17,  +0.24,  -0.79
  2,     UK0006,       1,  0.203985, 2459442.558300472330, 257.60740,  47.39271,              302.10227,  37.07321,       301.86548,       37.22937,    257.60740,     +47.39271,     257.96327,      +47.34588,  3776383.30, -1170366.67,  5112363.67,      52.467124,       -2.871736,   97963.56,  159734.64,    4589.02,            12141.91,   -71.64,  57758.55,           57514.01,   -665.80,    151.92,         881.84,  -0.07,  -1.09
  3,     UK0006,       1,  0.244701, 2459442.558300943580, 257.31405,  46.57451,              301.47663,  36.39637,       301.19742,       36.57950,    257.31405,     +46.57451,     257.72879,      +46.52002,  3775693.27, -1171458.42,  5110308.75,      52.458398,       -2.889980,   96129.43,  159069.32,    7016.10,            14568.99,  -185.22,  59610.07,           57514.01,   -784.29,    178.31,        1042.94,  -0.15,  -1.16
  4,     UK0006,       1,  0.285501, 2459442.558301415760, 257.13208,  45.65023,              300.70585,  35.70221,       300.47064,       35.85553,    257.13208,     +45.65023,     257.47726,      +45.60491,  3774935.37, -1172657.55,  5108051.72,      52.448805,       -2.910006,   94115.32,  158377.63,    9681.91,            17234.80,   -65.30,  65338.53,           59301.27,   -659.68,    150.56,         881.24,  -0.41,  -1.41
  5,     UK0006,       1,  0.326061, 2459442.558301885147, 256.98244,  45.00322,              300.18908,  35.19974,       299.96728,       35.34372,    256.98244,     +45.00322,     257.30534,      +44.96086,  3774406.80, -1173493.83,  5106477.64,      52.442109,       -2.924025,   92710.91,  157922.64,   11541.07,            19093.96,  -737.07,  45837.14,           57894.70,   -621.63,    142.05,         832.85,  +0.29,  -0.70
  0,     UK001L,       0,  0.000000, 2459442.558298111428, 259.26142,  51.35194,              305.26382,  40.35235,       305.28986,       40.33463,    259.26142,     +51.35194,     259.21976,      +51.35749,  3779833.58, -1164907.76,  5122638.62,      52.510641,       -2.780555,  107140.19,  163564.25,       0.00,                6.06,   521.06,      0.00,           59031.56,     73.97,    -17.25,          95.78,  +2.44,  +1.37
  1,     UK001L,       0,  0.040392, 2459442.558298578952, 258.97257,  50.60294,              304.61875,  39.76048,       304.62228,       39.75810,    258.97257,     +50.60294,     258.96717,      +50.60368,  3779171.55, -1165955.20,  5120667.09,      52.502306,       -2.798049,  105378.67,  162766.18,    2328.60,             2334.66,   329.22,  57650.05,           59031.56,      9.99,     -2.33,          12.99,  +1.20,  +0.14
  2,     UK001L,       0,  0.080744, 2459442.558299046010, 258.74329,  49.88646,              303.99320,  39.21116,       303.99886,       39.20736,    258.74329,     +49.88646,     258.73481,      +49.88763,  3778549.11, -1166939.99,  5118813.48,      52.494463,       -2.814510,  103722.84,  162043.36,    4517.91,             4523.97,     0.59,  54255.27,           59031.56,     15.98,     -3.72,          20.89,  +0.51,  -0.54
  3,     UK001L,       0,  0.121172, 2459442.558299513999, 258.49607,  48.99075,              303.20991,  38.53567,       303.23694,       38.51765,    258.49607,     +48.99075,     258.45508,      +48.99626,  3777781.72, -1168154.13,  5116528.18,      52.484785,       -2.834769,  101681.79,  161187.15,    7217.10,             7223.16,   177.09,  66765.37,           59031.56,     76.12,    -17.76,         100.02,  -0.19,  -1.23
  4,     UK001L,       0,  0.161572, 2459442.558299981523, 258.22487,  48.23389,              302.59635,  37.92518,       302.59739,       37.92449,    258.22487,     +48.23389,     258.22396,      +48.23410,  3777132.67, -1169181.05,  5114595.30,      52.476592,       -2.851933,   99955.85,  160496.16,    9500.05,             9506.11,   -60.90,  56508.70,           59141.78,      2.94,     -0.68,           3.87,  -0.40,  -1.43
  5,     UK001L,       0,  0.202012, 2459442.558300449513, 257.97836,  47.34007,              301.85125,  37.23406,       301.86260,       37.22658,    257.97836,     +47.34007,     257.96222,      +47.34233,  3776380.18, -1170371.60,  5112354.39,      52.467085,       -2.871809,   97955.29,  159731.14,   12146.81,            12152.86,    62.42,  65448.92,           60075.40,     31.85,     -7.42,          42.23,  -0.45,  -1.47
  6,     UK001L,       0,  0.242436, 2459442.558300917502, 257.73396,  46.50367,              301.17839,  36.57228,       301.18542,       36.56767,    257.73396,     +46.50367,     257.72457,      +46.50505,  3775680.63, -1171478.42,  5110271.11,      52.458238,       -2.890302,   96095.83,  159056.87,   14607.40,            14613.46,     0.57,  60869.58,           60493.78,     19.71,     -4.59,          26.25,  -0.42,  -1.43
  7,     UK001L,       0,  0.282852, 2459442.558301385026, 257.49545,  45.68988,              300.53957,  35.92098,       300.53716,       35.92255,    257.49545,     +45.68988,     257.50015,      +45.68941,  3775005.12, -1172547.18,  5108259.45,      52.449688,       -2.908167,   94300.68,  158439.76,   16983.38,            16989.44,  -145.38,  58788.23,           60525.86,     -6.75,      1.57,           9.02,  -0.40,  -1.40
  8,     UK001L,       0,  0.323260, 2459442.558301853016, 257.27942,  44.87603,              299.90271,  35.27500,       299.90129,       35.27592,    257.27942,     +44.87603,     257.28282,      +44.87576,  3774336.70, -1173604.73,  5106268.90,      52.441220,       -2.925851,   92524.70,  157862.21,   19334.45,            19340.51,  -315.75,  58183.19,           60384.65,     -3.97,      0.93,           5.33,  -0.31,  -1.30
  9,     UK001L,       1,  0.363540, 2459442.558302319143, 257.15011,  44.29896,              299.44588,  34.82597,       299.45866,       34.81771,    257.15011,     +44.29896,     257.13328,      +44.30139,  3773868.63, -1174345.31,  5104874.96,      52.435286,       -2.938285,   91281.20,  157479.95,   20980.84,            20986.90, -1182.82,  40873.59,           59252.27,     35.74,     -8.33,          48.07,  +3.99,  +3.00
  0,     UK0020,       0,  0.080610, 2459442.558299047407, 135.09493,  62.86777,               13.28549,  25.54932,        13.30755,       25.53088,    135.09493,     +62.86777,     135.06685,      +62.84394,  3778448.98, -1167098.43,  5118515.27,      52.493201,       -2.817132,  103456.47,  232141.47,       0.00,             4876.19,   361.18,      0.00,           59663.01,     70.54,     84.30,          97.67,  +2.82,  +0.99
  1,     UK0020,       0,  0.120886, 2459442.558299513534, 135.67337,  62.70111,               13.06583,  25.30766,        13.07118,       25.30319,    135.67337,     +62.70111,     135.66689,      +62.69536,  3777848.63, -1168048.28,  5116727.43,      52.485629,       -2.833018,  101859.72,  230439.43,    2111.63,             6987.83,   -40.38,  52429.09,           59663.01,     16.98,     20.32,          23.70,  +1.41,  -0.40
  2,     UK0020,       0,  0.161210, 2459442.558299980126, 136.35231,  62.50291,               12.80492,  25.02283,        12.79280,       25.03291,    136.35231,     +62.50291,     136.36901,      +62.51586,  3777148.63, -1169155.79,  5114642.84,      52.476794,       -2.851515,   99998.30,  228464.06,    4573.76,             9449.95,   -94.46,  61058.56,           59663.01,    -38.09,    -45.63,          53.66,  +0.74,  -1.05
  3,     UK0020,       0,  0.201554, 2459442.558300447185, 137.12894,  62.32449,               12.48557,  24.74489,        12.49247,       24.73916,    137.12894,     +62.32449,     137.12054,      +62.31717,  3776402.84, -1170335.76,  5112421.87,      52.467371,       -2.871215,   98015.51,  226370.23,    7196.98,            12073.17,    11.32,  65021.27,           59663.01,     21.51,     25.72,          30.55,  +0.89,  -0.88
  4,     UK0020,       0,  0.241886, 2459442.558300913777, 137.84560,  62.13806,               12.19376,  24.46948,        12.20710,       24.45841,    137.84560,     +62.13806,     137.82850,      +62.12398,  3775704.02, -1171441.40,  5110340.78,      52.458534,       -2.889688,   96158.02,  224418.36,    9654.97,            14531.16,   -47.39,  60943.87,           60501.83,     41.31,     49.37,          59.17,  +0.79,  -0.97
  5,     UK0020,       0,  0.282218, 2459442.558301380835, 138.53087,  61.93360,               11.91877,  24.18265,        11.92407,       24.17826,    138.53087,     +61.93360,     138.52477,      +61.92803,  3775019.85, -1172523.88,  5108303.31,      52.449875,       -2.907780,   94339.81,  222517.19,   12061.45,            16937.64,  -157.61,  59666.78,           60622.06,     16.28,     19.47,          23.52,  +0.74,  -1.00
  6,     UK0020,       0,  0.322554, 2459442.558301847428, 139.20435,  61.72036,               11.64791,  23.89045,        11.64090,       23.89624,    139.20435,     +61.72036,     139.21543,      +61.72767,  3774343.94, -1173593.28,  5106290.44,      52.441312,       -2.925659,   92543.93,  220648.77,   14438.86,            19315.06,  -297.14,  58940.29,           60484.75,    -21.34,    -25.53,          31.11,  +0.88,  -0.84

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.