Orbital Analysis for matched events on 20210810_010037.149_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.58° Bg 34.24° Vg 59.12km/s
mass 0.02957g, abs. mag -0.9
Path Details
------------
start -3.54° 53.31° 106.14km
end   -3.66° 53.26° 95.29km

Orbit Details
-------------
Semimajor axis 4.58A.U., eccentricity 0.80, inclination 118.67°, Period 9.80Y, LA Sun 137.35°, last Perihelion 2021-07-14

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: 2459436.542096638586
Time: 2021-08-10 01:00:37.213786 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 40.99281 deg
 R.A. =  47.03816  Dec = +54.25074 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 40.99 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3375244.49 +/- 78.35 m
 Y =  -1918937.45 +/- 102.56 m
 Z =   5179065.89 +/- 133.95 m
 Vx =    24333.68 +/- 516.09 m/s
 Vy =    26032.66 +/- 568.12 m/s
 Vz =    48466.24 +/- 576.87 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.502638e+03, +6.357118e+03, -9.089783e+03, +2.664456e+04, +2.361721e+04, -4.204453e+04
+6.357118e+03, +1.064369e+04, -1.202381e+04, +1.858651e+04, +3.840560e+04, -4.869339e+04
-9.089783e+03, -1.202381e+04, +1.688579e+04, -3.643440e+04, -4.875682e+04, +7.146322e+04
+2.664456e+04, +1.858651e+04, -3.643440e+04, +1.463100e+05, +8.778865e+04, -1.911042e+05
+2.361721e+04, +3.840560e+04, -4.875682e+04, +8.778865e+04, +1.662916e+05, -2.129327e+05
-4.204453e+04, -4.869339e+04, +7.146322e+04, -1.911042e+05, -2.129327e+05, +3.350642e+05

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 01:00:37.213786 UTC
  Lon     = +-3.509401 +/- 0.0018 deg
  Lat     = +53.323570 +/- 0.0008 deg
  Lat geo = +53.142124 +/- 0.0009 deg
  Ht      =  108337.91 +/- 102.17 m

  JD dynamic   = 2459436.542898122687 
  LST apparent = 330.3803462831 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.93200 +/- 0.4119 deg
  Dec       = +53.67494 +/- 0.7011 deg
  Azimuth   =  57.23898 +/- 0.8962 deg
  Elevation = +46.75668 +/- 0.4234 deg
  Vavg      =  60.94143 +/- 0.0221 km/s
  Vinit     =  60.15649 +/- 0.1936 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.03706 +/- 0.4119 deg
  Dec       = +53.46417 +/- 0.7011 deg
  Azimuth   =  57.45075 +/- 0.8962 deg
  Elevation = +46.59174 +/- 0.4234 deg
  Vavg      =  61.10499 +/- 0.0221 km/s
  Vinit     =  60.32005 +/- 0.1936 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.09880 +/- 0.4128 deg
  Dec    = +53.38440 +/- 0.7080 deg
  Vg     =  59.12399 +/- 0.1969 km/s
  Vinf   =  60.15649 +/- 0.1936 km/s
  Zc     =  43.34173 +/- 0.4216 deg
  Zg     =  43.73587 +/- 0.4279 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.58470 +/- 0.3862 deg
  Bg     = +34.23913 +/- 0.6777 deg
  Vh     =  39.45216 +/- 0.5018 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.29498 +/- 0.9876 deg
  Bh     = +57.48245 +/- 0.7201 deg
  Vh_x   =  -4.30250 +/- 0.3672 km/s
  Vh_y   = -20.76680 +/- 0.1871 km/s
  Vh_z   = -33.26712 +/- 0.6861 km/s
Orbit:
  La Sun = 137.349526 +/- -0.0000 deg
  a      =   4.579099 +/- 5.2210 AU
  e      =   0.797694 +/- 0.0423
  i      = 118.667693 +/- 0.8444 deg
  peri   = 143.682143 +/- 1.1324 deg
  node   = 137.348480 +/- 0.0001 deg
  Pi     = 281.030623 +/- 1.1325 deg
  q      =   0.926378 +/- 0.0040 AU
  f      =  36.313715 +/- 1.1324 deg
  M      =   2.620194 +/- 0.6273 deg
  Q      =   8.231820 +/- 10.4402 AU
  n      =   0.100585 +/- 0.0237 deg/day
  T      =   9.798750 +/- 28.8774 years
  Last perihelion JD = 2459410.493395 (2021-07-14 23:50:29.338038) +/- 0.9453 days
  Tj     =   0.593779 +/- 0.2295
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.752593e-03, +7.089048e-05, +3.407747e-02, +4.905230e-08, +5.975805e-04, -6.135343e-04
q   , +7.089048e-05, +1.696197e-05, +3.159798e-03, +2.215697e-09, +7.596103e-05, -2.780233e-05
Tp  , +3.407747e-02, +3.159798e-03, +8.890864e-01, +9.851070e-07, +1.818600e-02, -1.232743e-02
node, +4.905230e-08, +2.215697e-09, +9.851070e-07, +1.381498e-12, +1.760899e-08, -1.727267e-08
peri, +5.975805e-04, +7.596103e-05, +1.818600e-02, +1.760899e-08, +3.943853e-04, -2.204934e-04
i   , -6.135343e-04, -2.780233e-05, -1.232743e-02, -1.727267e-08, -2.204934e-04, +2.159801e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 74.239191
 a2 = -0.000001

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 1.834e-06 s
  Stddev    = 1.35e-03 s

Begin point on the trajectory:
  Lon =    -3.535104 +/- 0.0019 deg
  Lat =    53.313663 +/- 0.0005 deg
  Ht  = 106136.17 +/- 39.85 m
End point on the trajectory:
  Lon =    -3.662979 +/- 0.0011 deg
  Lat =    53.264613 +/- 0.0005 deg
  Ht  = 95285.14 +/- 19.93 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105225.54,    96360.99,          0.008686,     16.64,     33.04,              76.36, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_010036_463_0405760.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00, 104.731993,   0.000000,   106136.17,    95285.14,          0.026601,     33.05,    106.03,             100.92, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210810_010030_514_0415744.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,     UK001L,       1,  0.000000, 2459436.542096638586, 218.87498,  48.48863,              317.91223,  25.12826,       317.91357,       25.12711,    218.87498,     +48.48863,     218.87247,      +48.48849,  3375241.70, -1918940.44,  5179060.33,      53.323547,       -3.509191,  108332.89,  245952.48,       0.00,                6.90,   568.64,      0.00,           56740.19,      6.39,      3.22,           6.00,  +4.79,  +2.84
  1,     UK001L,       0,  0.080548, 2459436.542097570840, 218.99743,  47.51399,              317.17315,  24.41670,       317.17284,       24.41697,    218.99743,     +47.51399,     218.99834,      +47.51402,  3373515.90, -1920786.73,  5175623.00,      53.309560,       -3.545806,  105225.54,  245086.75,    4266.43,             4273.33,   -10.41,  52967.58,           56740.19,     -1.49,     -0.75,           1.40,  +2.04,  +0.09
  2,     UK001L,       0,  0.120860, 2459436.542098037433, 219.07061,  46.95248,              316.74844,  24.00717,       316.74983,       24.00598,    219.07061,     +46.95248,     219.06858,      +46.95234,  3372526.14, -1921845.60,  5173651.65,      53.301528,       -3.566785,  103444.03,  244621.59,    6713.27,             6720.17,    11.40,  60697.48,           56740.19,      6.63,      3.34,           6.26,  +1.28,  -0.66
  3,     UK001L,       0,  0.161188, 2459436.542098504025, 219.11114,  46.38614,              316.34162,  23.57943,       316.32727,       23.59163,    219.11114,     +46.38614,     219.13772,      +46.38760,  3371534.75, -1922906.21,  5171677.06,      53.293474,       -3.587803,  101659.99,  244179.46,    9164.15,             9171.05,    36.29,  60773.61,           56740.19,    -68.26,    -34.39,          64.56,  +1.11,  -0.83
  4,     UK001L,       0,  0.201464, 2459436.542098970152, 219.18342,  45.87823,              315.95718,  23.21067,       315.94900,       23.21761,    219.18342,     +45.87823,     219.19890,      +45.87906,  3370645.37, -1923857.69,  5169905.65,      53.286242,       -3.606677,  100059.88,  243803.97,   11362.83,            11369.73,  -187.89,  54590.42,           56884.82,    -38.88,    -19.58,          36.83,  +0.96,  -0.98
  5,     UK001L,       0,  0.241784, 2459436.542099437211, 219.26016,  45.29753,              315.52285,  22.78610,       315.51941,       22.78902,    219.26016,     +45.29753,     219.26728,      +45.29788,  3369631.84, -1924941.98,  5167886.97,      53.277992,       -3.628167,   98236.84,  243398.70,   13868.42,            13875.32,  -107.81,  62142.63,           57538.69,    -16.35,     -8.23,          15.52,  +0.89,  -1.04
  6,     UK001L,       0,  0.282112, 2459436.542099903803, 219.33823,  44.69794,              315.07698,  22.34674,       315.07871,       22.34528,    219.33823,     +44.69794,     219.33638,      +44.69776,  3368588.69, -1926057.96,  5165809.30,      53.269493,       -3.650284,   96360.99,  243007.76,   16447.23,            16454.13,    45.00,  63945.80,           58389.48,      8.17,      4.11,           7.77,  +1.14,  -0.79
  0,     UK002Z,       1,  0.026592, 2459436.542096914724, 263.65396,  17.62386,              264.63178,  26.01379,       264.63351,       26.01331,    263.65396,     +17.62386,     263.65246,      +17.62445,  3374835.99, -1919374.48,  5178252.26,      53.320261,       -3.517819,  107602.28,  237301.62,       0.00,             1009.88,   -28.03,      0.00,           62045.64,      6.44,     -2.01,           5.86,  +5.13,  +3.25
  1,     UK002Z,       0,  0.066972, 2459436.542097381782, 263.43796,  17.19370,              264.51516,  25.54851,       264.47890,       25.55858,    263.43796,     +17.19370,     263.47164,      +17.18134,  3374021.74, -1920245.58,  5176630.48,      53.313663,       -3.535104,  106136.17,  237739.69,    2012.96,             3022.84,  -444.20,  49850.30,           62045.64,   -135.62,     42.26,         123.24,  +3.63,  +1.75
  2,     UK002Z,       0,  0.107512, 2459436.542097851168, 263.19870,  16.52460,              264.25708,  24.88098,       264.25093,       24.88268,    263.19870,     +16.52460,     263.20481,      +16.52250,  3372805.22, -1921547.03,  5174207.51,      53.303794,       -3.560850,  103946.32,  238419.60,    5020.36,             6030.24,   124.46,  74183.56,           62045.64,    -23.16,      7.23,          20.99,  +2.64,  +0.75
  3,     UK002Z,       0,  0.147948, 2459436.542098319158, 262.94934,  16.02918,              264.12885,  24.34325,       264.07592,       24.35793,    262.94934,     +16.02918,     262.99889,      +16.01110,  3371856.74, -1922561.74,  5172318.38,      53.296091,       -3.580964,  102239.37,  238976.95,    7365.15,             8375.04,    36.77,  57987.88,           62045.64,   -200.74,     62.49,         181.47,  +1.29,  -0.60
  4,     UK002Z,       0,  0.188316, 2459436.542098786216, 262.80604,  15.54478,              263.92209,  23.87630,       263.91714,       23.87767,    262.80604,     +15.54478,     262.81139,      +15.54309,  3370985.19, -1923494.14,  5170582.49,      53.289006,       -3.599463,  100671.22,  239509.09,    9519.75,            10529.64,  -237.03,  53373.92,           60314.60,    -18.87,      5.89,          17.02,  +1.15,  -0.75
  5,     UK002Z,       0,  0.228760, 2459436.542099254671, 262.59978,  14.99585,              263.72685,  23.32051,       263.73372,       23.31861,    262.59978,     +14.99585,     262.59435,      +14.99821,  3369965.66, -1924584.86,  5168551.85,      53.280710,       -3.621078,   98837.23,  240153.06,   12040.19,            13050.07,  -149.56,  62319.13,           60105.73,     26.37,     -8.23,          23.73,  +1.15,  -0.75
  6,     UK002Z,       0,  0.269216, 2459436.542099722661, 262.39245,  14.43062,              263.52434,  22.75045,       263.54691,       22.74421,    262.39245,     +14.43062,     262.37260,      +14.43837,  3368912.66, -1925711.38,  5166454.55,      53.272133,       -3.643402,   96943.51,  240843.84,   14643.37,            15653.25,    19.92,  64345.90,           60485.61,     87.17,    -27.25,          78.22,  +1.07,  -0.84
  7,     UK002Z,       0,  0.309612, 2459436.542100190185, 262.20385,  13.94123,              263.35874,  22.25092,       263.38551,       22.24352,    262.20385,     +13.94123,     262.18023,      +13.95042,  3367990.31, -1926698.12,  5164617.49,      53.264613,       -3.662979,   95285.14,  241471.72,   16923.54,            17933.42,  -129.99,  56445.46,           60307.58,    104.00,    -32.51,          93.08,  +1.59,  -0.32

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.