Orbital Analysis for matched events on 20210810_230806.420_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.23° Bg 39.60° Vg 57.39km/s
mass 0.04013g, abs. mag -0.9
Path Details
------------
start 2.49° 53.45° 108.34km
end   2.36° 53.36° 96.83km

Orbit Details
-------------
Semimajor axis 9.00A.U., eccentricity 0.90, inclination 109.72°, Period 27.02Y, LA Sun 138.23°, last Perihelion 2021-07-16

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: 2459437.463963198010
Time: 2021-08-10 23:08:06.420308 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 10.29690 deg
 R.A. =  49.24648  Dec = +60.11122 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 10.30 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2444279.88 +/- 576.35 m
 Y =  -3001273.32 +/- 291.33 m
 Z =   5187789.12 +/- 481.88 m
 Vx =    19473.10 +/- 3067.99 m/s
 Vy =    22030.52 +/- 1522.51 m/s
 Vz =    50523.50 +/- 3938.78 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.596012e+05, +8.461134e+04, +1.278893e+05, +6.026576e+05, +2.910494e+05, +4.134022e+05
+8.461134e+04, +4.501586e+04, +6.845709e+04, +3.223787e+05, +1.554521e+05, +2.231412e+05
+1.278893e+05, +6.845709e+04, +1.100552e+05, +4.842555e+05, +2.292937e+05, +3.425841e+05
+6.026576e+05, +3.223787e+05, +4.842555e+05, +4.141478e+06, +1.924456e+06, +3.021205e+06
+2.910494e+05, +1.554521e+05, +2.292937e+05, +1.924456e+06, +9.188179e+05, +1.432000e+06
+4.134022e+05, +2.231412e+05, +3.425841e+05, +3.021205e+06, +1.432000e+06, +2.311081e+06

Timing offsets (from input data):
    UK002K: 0.000012 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 23:08:06.420308 UTC
  Lon     = ++2.489810 +/- 0.0093 deg
  Lat     = +53.454099 +/- 0.0016 deg
  Lat geo = +53.272897 +/- 0.0016 deg
  Ht      =  108239.63 +/- 468.58 m

  JD dynamic   = 2459437.464763938915 
  LST apparent = 309.1598635387 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.52606 +/- 2.5671 deg
  Dec       = +59.80189 +/- 1.4798 deg
  Azimuth   =  40.53194 +/- 2.5727 deg
  Elevation = +40.21145 +/- 0.1335 deg
  Vavg      =  56.59577 +/- 2.8083 km/s
  Vinit     =  58.45656 +/- 3.6700 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.43739 +/- 2.5671 deg
  Dec       = +59.56651 +/- 1.4798 deg
  Azimuth   =  40.80615 +/- 2.5727 deg
  Elevation = +40.09533 +/- 0.1335 deg
  Vavg      =  56.73636 +/- 2.8083 km/s
  Vinit     =  58.59715 +/- 3.6700 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.83869 +/- 2.6638 deg
  Dec    = +59.40923 +/- 1.4434 deg
  Vg     =  57.39346 +/- 3.7339 km/s
  Vinf   =  58.45656 +/- 3.6700 km/s
  Zc     =  49.92637 +/- 0.1356 deg
  Zg     =  50.41590 +/- 0.1723 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.23358 +/- 2.2882 deg
  Bg     = +39.59886 +/- 0.8993 deg
  Vh     =  40.64407 +/- 2.6005 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  90.44034 +/- 9.3024 deg
  Bh     = +64.17203 +/- 1.9033 deg
  Vh_x   =   0.13609 +/- 3.1700 km/s
  Vh_y   = -17.70690 +/- 2.2974 km/s
  Vh_z   = -36.58398 +/- 1.6723 km/s
Orbit:
  La Sun = 138.234072 +/- 0.0000 deg
  a      =   9.003450 +/- 17.9216 AU
  e      =   0.897615 +/- 0.2345
  i      = 109.723990 +/- 4.2035 deg
  peri   = 143.954782 +/- 8.2244 deg
  node   = 138.233138 +/- 0.0003 deg
  Pi     = 282.187920 +/- 8.2240 deg
  q      =   0.921817 +/- 0.0309 AU
  f      =  36.041213 +/- 8.2245 deg
  M      =   0.914268 +/- nan deg
  Q      =  17.085083 +/- 35.8498 AU
  n      =   0.036483 +/- 0.1200 deg/day
  T      =  27.015567 +/- 446947572.3383 years
  Last perihelion JD = 2459412.404670 (2021-07-16 21:42:43.469419) +/- 5.1833 days
  Tj     =   0.186706 +/- 1.4145
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.267199e-02, +2.938423e-03, +5.396118e-01, -4.238369e-07, +1.296690e-02, +5.905746e-03
q   , +2.938423e-03, +7.774315e-04, +1.354668e-01, -1.098831e-07, +3.331000e-03, +1.539455e-03
Tp  , +5.396118e-01, +1.354668e-01, +2.411099e+01, -1.931820e-05, +5.873580e-01, +2.700737e-01
node, -4.238369e-07, -1.098831e-07, -1.931820e-05, +1.570278e-11, -4.731843e-07, -2.198296e-07
peri, +1.296690e-02, +3.331000e-03, +5.873580e-01, -4.731843e-07, +1.436713e-02, +6.621465e-03
i   , +5.905746e-03, +1.539455e-03, +2.700737e-01, -2.198296e-07, +6.621465e-03, +3.078206e-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: UK0032
  Avg. res. = 5.344e-06 s
  Stddev    = 2.31e-03 s

Begin point on the trajectory:
  Lon =     2.490988 +/- 0.0092 deg
  Lat =    53.454921 +/- 0.0014 deg
  Ht  = 108343.17 +/- 451.05 m
End point on the trajectory:
  Lon =     2.358520 +/- 0.0060 deg
  Lat =    53.363110 +/- 0.0004 deg
  Ht  = 96826.78 +/- 211.81 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,   105357.81,    96826.78,          0.008845,     28.65,     16.88,              43.50, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_230757_782_0250624.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   108343.17,    97746.81,          0.017282,     46.48,     40.36,              27.17, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_230758_185_0256768.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,  0.074278, 2459437.463964068331,  16.86974,  20.88021,               92.46911,  28.11503,        92.45908,       28.09881,     16.86974,     +20.88021,      16.88839,      +20.87330,  2442792.52, -3002956.02,  5183930.13,      53.431188,       +2.456698,  105357.81,  217591.86,       0.00,             4464.92,   248.15,      0.00,           54330.36,     35.61,     60.47,          66.52,  +3.85,  +2.16
  1,     UK002K,       0,  0.114558, 2459437.463964534458,  16.70954,  20.47131,               92.89418,  27.89409,        92.89224,       27.89097,     16.70954,     +20.47131,      16.71354,      +20.46998,  2442017.70, -3003832.60,  5181919.83,      53.419241,       +2.439447,  103857.24,  215941.28,    2325.96,             6790.88,   219.48,  57744.70,           54330.36,      6.81,     11.55,          12.80,  +2.49,  +0.82
  2,     UK002K,       0,  0.154794, 2459437.463965000119,  16.56790,  20.12339,               93.25934,  27.70872,        93.26158,       27.71230,     16.56790,     +20.12339,      16.56450,      +20.12491,  2441364.00, -3004572.15,  5180223.79,      53.409155,       +2.424868,  102591.60,  214557.01,    4288.30,             8753.22,  -170.24,  48770.90,           54330.36,     -7.79,    -13.20,          14.74,  +2.11,  +0.45
  3,     UK002K,       0,  0.195066, 2459437.463965466246,  16.37688,  19.70830,               93.71210,  27.49999,        93.70822,       27.49382,     16.37688,     +19.70830,      16.38467,      +19.70568,  2440581.61, -3005457.29,  5178193.86,      53.397076,       +2.407453,  101077.26,  212914.23,    6636.97,            11101.89,  -175.73,  58320.11,           54330.36,     13.33,     22.63,          25.44,  +2.27,  +0.63
  4,     UK002K,       0,  0.235382, 2459437.463965932839,  16.17142,  19.23342,               94.21800,  27.25256,        94.21264,       27.24411,     16.17142,     +19.23342,      16.18196,      +19.22983,  2439708.48, -3006445.09,  5175928.49,      53.383587,       +2.388039,   99387.86,  211097.96,    9258.04,            13722.96,    88.61,  65013.22,           56683.73,     18.15,     30.80,          34.93,  +1.44,  -0.18
  5,     UK002K,       0,  0.275670, 2459437.463966399431,  15.99812,  18.80152,               94.66562,  27.01868,        94.66507,       27.01782,     15.99812,     +18.80152,      16.00025,      +18.80116,  2438934.65, -3007320.54,  5173920.78,      53.371624,       +2.370817,   97891.10,  209501.49,   11581.00,            16045.92,    56.46,  57658.66,           57494.91,      1.84,      3.12,           3.57,  +1.29,  -0.32
  6,     UK002K,       0,  0.315874, 2459437.463966864627,  15.86274,  18.49450,               94.99319,  26.85919,        94.99006,       26.85430,     15.86274,     +18.49450,      15.86958,      +18.49243,  2438384.27, -3007943.21,  5172492.79,      53.363110,       +2.358520,   96826.78,  208371.53,   13233.21,            17698.13,  -641.52,  41095.70,           56030.76,     10.39,     17.64,          20.26,  +5.04,  +3.45
  0,     UK0032,       0,  0.000000, 2459437.463963198010,  30.29566,  34.73124,               71.68208,  30.63977,        71.66859,       30.61616,     30.29566,     +34.73124,      30.32579,      +34.72234,  2444333.30, -3001212.89,  5187927.73,      53.454921,       +2.490988,  108343.17,  207881.30,       0.00,              160.37,   285.61,      0.00,           58198.98,     62.55,     72.10,          94.72,  +2.98,  +1.39
  1,     UK0032,       0,  0.040200, 2459437.463963663206,  30.22059,  34.42652,               71.97954,  30.46354,        71.98945,       30.48073,     30.22059,     +34.42652,      30.19884,      +34.43297,  2443538.63, -3002111.93,  5185865.92,      53.442684,       +2.473296,  106803.20,  205763.76,    2385.55,             2225.18,     0.47,  59341.99,           58198.98,    -45.27,    -52.00,          69.11,  +1.91,  +0.34
  2,     UK0032,       0,  0.080328, 2459437.463964127935,  30.05771,  34.17609,               72.29337,  30.37648,        72.28179,       30.35644,     30.05771,     +34.17609,      30.08354,      +34.16857,  2442826.37, -3002917.72,  5184017.95,      53.431709,       +2.457423,  105423.36,  203870.01,    4523.68,             4363.31,  -207.14,  53282.79,           58198.98,     52.23,     60.19,          80.63,  +1.19,  -0.36
  3,     UK0032,       0,  0.120516, 2459437.463964592665,  29.91655,  33.85344,               72.64995,  30.22478,        72.63765,       30.20361,     29.91655,     +33.85344,      29.94394,      +33.84551,  2441974.94, -3003880.97,  5181808.89,      53.418581,       +2.438483,  103774.43,  201614.60,    7079.60,             6919.24,    -0.47,  63599.18,           58198.98,     54.65,     62.99,          85.32,  +1.12,  -0.40
  4,     UK0032,       0,  0.160708, 2459437.463965057861,  29.81807,  33.54684,               72.96351,  30.05989,        72.96473,       30.06198,     29.81807,     +33.54684,      29.81609,      +33.54762,  2441206.26, -3004750.60,  5179814.53,      53.406720,       +2.421369,  102286.26,  199583.82,    9387.11,             9226.75,   -42.45,  57412.11,           58418.01,     -5.35,     -6.16,           8.43,  +0.74,  -0.76
  5,     UK0032,       0,  0.200904, 2459437.463965523057,  29.69533,  33.22056,               73.30903,  29.89444,        73.31703,       29.90799,     29.69533,     +33.22056,      29.67900,      +33.22561,  2440393.17, -3005670.48,  5177704.93,      53.394166,       +2.403278,  100712.60,  197442.99,   11827.95,            11667.59,    48.67,  60723.52,           58810.13,    -34.43,    -39.58,          54.80,  +0.83,  -0.65
  6,     UK0032,       0,  0.241072, 2459437.463965988252,  29.54281,  32.91832,               73.65582,  29.76335,        73.65361,       29.75963,     29.54281,     +32.91832,      29.54852,      +32.91694,  2439630.01, -3006533.87,  5175724.89,      53.382374,       +2.386290,   99236.05,  195439.58,   14118.89,            13958.53,    -8.47,  57033.94,           58759.86,      9.37,     10.78,          15.08,  +1.18,  -0.28
  7,     UK0032,       0,  0.281256, 2459437.463966453448,  29.41029,  32.59996,               74.00093,  29.60881,        73.99922,       29.60593,     29.41029,     +32.59996,      29.41510,      +32.59889,  2438860.04, -3007404.95,  5173727.20,      53.370470,       +2.369153,   97746.81,  193424.99,   16430.25,            16269.88,   -46.13,  57519.33,           58635.52,      7.18,      8.27,          11.67,  +1.52,  +0.09

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.