Orbital Analysis for matched events on 20210813_001157.717_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.57° Bg 38.36° Vg 58.30km/s
mass 0.02770g, abs. mag -0.5
Path Details
------------
start 3.03° 53.20° 107.74km
end   2.92° 53.14° 97.62km

Orbit Details
-------------
Semimajor axis 9.02A.U., eccentricity 0.90, inclination 112.36°, Period 27.10Y, LA Sun 140.20°, last Perihelion 2021-07-20

Full details below
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Detailed report below graphs

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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: 2459439.508306919131
Time: 2021-08-13 00:11:57.718095 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 12.58951 deg
 R.A. =  49.54843  Dec = +56.80126 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 12.59 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3290025.69 +/- 346.85 m
 Y =  -2081870.86 +/- 286.92 m
 Z =   5170160.37 +/- 254.56 m
 Vx =    19928.47 +/- 2476.62 m/s
 Vy =    23632.61 +/- 2003.49 m/s
 Vz =    50665.30 +/- 3310.26 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.670458e+04, +7.008575e+04, +5.894846e+04, +2.131473e+05, +1.413201e+05, +6.898897e+04
+7.008575e+04, +5.763698e+04, +4.828420e+04, +1.673162e+05, +1.128275e+05, +5.267509e+04
+5.894846e+04, +4.828420e+04, +4.697329e+04, +1.194424e+05, +7.235746e+04, +3.857526e+04
+2.131473e+05, +1.673162e+05, +1.194424e+05, +2.706126e+06, +2.021891e+06, +1.211538e+06
+1.413201e+05, +1.128275e+05, +7.235746e+04, +2.021891e+06, +1.573301e+06, +9.275919e+05
+6.898897e+04, +5.267509e+04, +3.857526e+04, +1.211538e+06, +9.275919e+05, +5.819385e+05

Timing offsets (from input data):
    UK002K: -0.000644 s
    UK0032: 0.000004 s

Reference point on the trajectory:
  Time: 2021-08-13 00:11:57.718095 UTC
  Lon     = ++3.026342 +/- 0.0063 deg
  Lat     = +53.200141 +/- 0.0006 deg
  Lat geo = +53.018447 +/- 0.0006 deg
  Ht      =  107662.98 +/- 284.32 m

  JD dynamic   = 2459439.509107663296 
  LST apparent = 327.6750851272 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.86034 +/- 1.1974 deg
  Dec       = +58.61050 +/- 1.9672 deg
  Azimuth   =  48.61782 +/- 2.9026 deg
  Elevation = +46.54924 +/- 0.5178 deg
  Vavg      =  57.70164 +/- 2.4634 km/s
  Vinit     =  59.35164 +/- 2.6370 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  49.93125 +/- 1.1974 deg
  Dec       = +58.37926 +/- 1.9672 deg
  Azimuth   =  48.87991 +/- 2.9026 deg
  Elevation = +46.40002 +/- 0.5178 deg
  Vavg      =  57.84864 +/- 2.4634 km/s
  Vinit     =  59.49864 +/- 2.6370 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.10561 +/- 1.2766 deg
  Dec    = +58.32719 +/- 1.9600 deg
  Vg     =  58.30477 +/- 2.6836 km/s
  Vinf   =  59.35164 +/- 2.6370 km/s
  Zc     =  43.57104 +/- 0.5114 deg
  Zg     =  43.97855 +/- 0.4831 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.56533 +/- 1.5976 deg
  Bg     = +38.36063 +/- 1.6496 deg
  Vh     =  40.65416 +/- 1.4445 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.74194 +/- 7.2708 deg
  Bh     = +62.88162 +/- 2.7831 deg
  Vh_x   =  -1.05320 +/- 2.4980 km/s
  Vh_y   = -18.50145 +/- 2.3058 km/s
  Vh_z   = -36.18491 +/- 0.3649 km/s
Orbit:
  La Sun = 140.196477 +/- 0.0000 deg
  a      =   9.022281 +/- 18.8811 AU
  e      =   0.896447 +/- 0.1252
  i      = 112.363959 +/- 4.3079 deg
  peri   = 146.629680 +/- 4.8084 deg
  node   = 140.195835 +/- 0.0003 deg
  Pi     = 286.825516 +/- 4.8081 deg
  q      =   0.934285 +/- 0.0170 AU
  f      =  33.366445 +/- 4.8086 deg
  M      =   0.853040 +/- nan deg
  Q      =  17.110277 +/- 37.7691 AU
  n      =   0.036369 +/- 0.0417 deg/day
  T      =  27.100366 +/- 497317396.0850 years
  Last perihelion JD = 2459416.053870 (2021-07-20 13:17:34.410642) +/- 2.7794 days
  Tj     =   0.132804 +/- 0.8000
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.669545e-03, +8.354059e-04, +1.742627e-01, -2.382728e-07, +4.000193e-03, +3.354024e-03
q   , +8.354059e-04, +1.629270e-04, +3.293328e-02, -4.468712e-08, +7.660255e-04, +6.292209e-04
Tp  , +1.742627e-01, +3.293328e-02, +6.733669e+00, -9.175448e-06, +1.558687e-01, +1.291994e-01
node, -2.382728e-07, -4.468712e-08, -9.175448e-06, +1.292947e-11, -2.119914e-07, -1.822428e-07
peri, +4.000193e-03, +7.660255e-04, +1.558687e-01, -2.119914e-07, +3.615393e-03, +2.984936e-03
i   , +3.354024e-03, +6.292209e-04, +1.291994e-01, -1.822428e-07, +2.984936e-03, +2.569182e-03

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: UK002K
  Avg. res. = 1.542e-06 s
  Stddev    = 1.24e-03 s

Begin point on the trajectory:
  Lon =     3.027125 +/- 0.0061 deg
  Lat =    53.200556 +/- 0.0002 deg
  Ht  = 107737.80 +/- 252.12 m
End point on the trajectory:
  Lon =     2.920162 +/- 0.0080 deg
  Lat =    53.144383 +/- 0.0002 deg
  Ht  = 97617.57 +/- 314.72 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   107423.65,    99012.09,          0.011478,     31.61,     38.95,              45.22, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_001152_061_0354048.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000008,  74.426858,   107737.80,    97617.57,          0.023533,     42.00,     82.98,              32.73, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_001148_282_0359936.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,     UK002K,       0,  0.000000, 2459439.508306930307,  33.49445,  14.39022,               98.08009,  23.82995,        98.07541,       23.82499,     33.49445,     +14.39022,      33.50107,      +14.38888,  3289914.99, -2082002.13,  5169878.94,      53.198817,       +3.023836,  107423.65,  255440.19,       0.00,              329.67,   330.58,      0.00,           56652.84,     22.67,     18.39,          23.58,  +3.32,  +1.28
  1,     UK002K,       0,  0.040240, 2459439.508307395969,  33.43622,  14.05789,               98.34936,  23.60005,        98.35451,       23.60550,     33.43622,     +14.05789,      33.42911,      +14.05936,  3289215.78, -2082831.31,  5168101.29,      53.190447,       +3.007853,  105912.05,  253984.66,    2082.42,             2412.09,    24.69,  51749.93,           56652.84,    -24.84,    -20.14,          25.97,  +1.63,  -0.39
  2,     UK002K,       0,  0.080496, 2459439.508307861630,  33.32862,  13.68651,               98.68514,  23.36770,        98.67215,       23.35399,     33.32862,     +13.68651,      33.34727,      +13.68280,  3288426.64, -2083767.13,  5166095.00,      53.180994,       +2.989835,  104206.40,  252353.88,    4432.68,             4762.35,   -14.31,  58382.93,           56652.84,     62.15,     50.45,          65.42,  +1.88,  -0.13
  3,     UK002K,       0,  0.120776, 2459439.508308328222,  33.26112,  13.29579,               98.99885,  23.09591,        98.99761,       23.09460,     33.26112,     +13.29579,      33.26337,      +13.29543,  3287625.37, -2084717.33,  5164057.90,      53.171387,       +2.971542,  102474.95,  250709.98,    6819.04,             7148.71,   -18.63,  59244.25,           56652.84,      5.90,      4.79,           6.25,  +1.47,  -0.53
  4,     UK002K,       0,  0.161064, 2459439.508308794349,  33.17079,  12.88599,               99.34320,  22.82179,        99.34076,       22.81923,     33.17079,     +12.88599,      33.17489,      +12.88530,  3286788.37, -2085709.90,  5161929.95,      53.161344,       +2.952438,  100666.72,  249006.20,    9311.81,             9641.48,    82.98,  61873.71,           58014.66,     11.52,      9.34,          12.28,  +1.66,  -0.32
  5,     UK002K,       0,  0.201324, 2459439.508309260476,  33.07339,  12.50880,               99.67118,  22.57736,        99.65777,       22.56331,     33.07339,     +12.50880,      33.09302,      +12.50500,  3286022.30, -2086618.37,  5159982.32,      53.152144,       +2.934937,   99012.09,  247457.74,   11593.35,            11923.03,   -24.98,  56670.29,           58211.51,     62.78,     50.97,          67.41,  +1.74,  -0.23
  0,     UK0032,       0,  0.000267, 2459439.508306922391,  43.74868,  25.52235,               82.07067,  26.52219,        82.05872,       26.51066,     43.74868,     +25.52235,      43.76601,      +25.52077,  3290060.29, -2081829.82,  5170248.35,      53.200556,       +3.027125,  107737.80,  233799.65,       0.00,              103.07,    88.15,      0.00,           61055.08,     57.26,     28.94,          56.60,  +2.53,  +0.69
  1,     UK0032,       0,  0.040483, 2459439.508307388052,  43.70585,  25.18492,               82.35181,  26.29425,        82.33690,       26.27990,     43.70585,     +25.18492,      43.72758,      +25.18294,  3289219.12, -2082827.35,  5168109.78,      53.190487,       +3.007932,  105919.27,  231701.45,    2505.22,             2402.15,     0.35,  62294.04,           61055.08,     70.77,     35.78,          70.60,  +1.51,  -0.31
  2,     UK0032,       0,  0.080691, 2459439.508307853248,  43.67877,  24.86295,               82.60870,  26.06817,        82.60031,       26.06011,     43.67877,     +24.86295,      43.69120,      +24.86185,  3288433.30, -2083759.23,  5166111.95,      53.181074,       +2.989989,  104220.81,  229748.16,    4845.57,             4742.50,   -45.71,  58206.05,           61055.08,     39.48,     19.95,          39.72,  +1.56,  -0.25
  3,     UK0032,       0,  0.120923, 2459439.508308318909,  43.64061,  24.50521,               82.89926,  25.82134,        82.89239,       25.81477,     43.64061,     +24.50521,      43.65098,      +24.50431,  3287573.98, -2084778.28,  5163927.24,      53.170771,       +2.970382,  102363.91,  227621.58,    7404.83,             7301.77,   125.72,  63612.73,           61055.08,     31.98,     16.16,          32.47,  +1.59,  -0.20
  4,     UK0032,       0,  0.161111, 2459439.508308784105,  43.56781,  24.18751,               83.18614,  25.62505,        83.15372,       25.59402,     43.56781,     +24.18751,      43.61497,      +24.18323,  3286815.43, -2085677.82,  5161998.73,      53.161668,       +2.953054,  100725.15,  225750.78,    9663.98,             9560.91,    -0.36,  56214.41,           60248.56,    149.82,     75.88,         153.45,  +1.94,  +0.17
  5,     UK0032,       0,  0.201331, 2459439.508309249301,  43.53800,  23.84526,               83.45719,  25.38414,        83.43056,       25.35872,     43.53800,     +23.84526,      43.57691,      +23.84176,  3286022.35, -2086618.31,  5159982.44,      53.152144,       +2.934943,   99012.19,  223803.07,   12025.95,            11922.88,   -25.51,  58726.20,           59800.52,    121.97,     61.74,         125.99,  +1.75,  +0.00
  6,     UK0032,       0,  0.241531, 2459439.508309714962,  43.54481,  23.55945,               83.65847,  25.16369,        83.65872,       25.16393,     43.54481,     +23.55945,      43.54546,      +23.55948,  3285376.53, -2087384.16,  5158340.55,      53.144383,       +2.920162,   97617.57,  222221.13,   13949.34,            13846.27,  -488.06,  47845.56,           58360.04,     -1.15,     -0.58,           1.19,  +4.16,  +2.43

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.