Orbital Analysis for matched events on 20210813_000457.012_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.47° Bg 40.09° Vg 56.55km/s
mass 0.07856g, abs. mag -1.3
Path Details
------------
start 2.50° 52.67° 108.25km
end   2.35° 52.58° 93.13km

Orbit Details
-------------
Semimajor axis 5.92A.U., eccentricity 0.84, inclination 108.70°, Period 14.42Y, LA Sun 140.19°, last Perihelion 2021-07-18

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: 2459439.503437642008
Time: 2021-08-13 00:04:57.012269 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 4.89248 deg
 R.A. =  48.59320  Dec = +59.02296 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 4.89 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3243902.98 +/- 488.35 m
 Y =  -2238501.35 +/- 220.84 m
 Z =   5134750.52 +/- 187.13 m
 Vx =    18262.87 +/- 2421.48 m/s
 Vy =    21732.91 +/- 1075.00 m/s
 Vz =    50149.31 +/- 2551.97 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.643882e+04, +4.073193e+04, +3.567870e+04, +4.648985e+05, +2.049302e+05, +1.516271e+05
+4.073193e+04, +1.959852e+04, +1.717165e+04, +2.221016e+05, +9.867132e+04, +7.147556e+04
+3.567870e+04, +1.717165e+04, +1.641483e+04, +2.097824e+05, +9.088765e+04, +6.436277e+04
+4.648985e+05, +2.221016e+05, +2.097824e+05, +3.899690e+06, +1.675155e+06, +1.161451e+06
+2.049302e+05, +9.867132e+04, +9.088765e+04, +1.675155e+06, +7.262506e+05, +5.039749e+05
+1.516271e+05, +7.147556e+04, +6.436277e+04, +1.161451e+06, +5.039749e+05, +3.599094e+05

Timing offsets (from input data):
    UK002F: 0.000000 s
    UK002K: 0.000016 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:04:57.012269 UTC
  Lon     = ++2.500829 +/- 0.0067 deg
  Lat     = +52.673764 +/- 0.0010 deg
  Lat geo = +52.491145 +/- 0.0010 deg
  Ht      =  108279.27 +/- 314.91 m

  JD dynamic   = 2459439.504238382913 
  LST apparent = 325.3918320871 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.95857 +/- 2.2351 deg
  Dec       = +60.48753 +/- 1.6608 deg
  Azimuth   =  44.98909 +/- 2.8877 deg
  Elevation = +46.07930 +/- 0.1712 deg
  Vavg      =  57.02712 +/- 1.5622 km/s
  Vinit     =  57.62643 +/- 1.9541 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.01294 +/- 2.2351 deg
  Dec       = +60.24056 +/- 1.6608 deg
  Azimuth   =  45.27896 +/- 2.8877 deg
  Elevation = +45.93378 +/- 0.1712 deg
  Vavg      =  57.16860 +/- 1.5622 km/s
  Vinit     =  57.76791 +/- 1.9541 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.28919 +/- 2.3051 deg
  Dec    = +60.19424 +/- 1.6504 deg
  Vg     =  56.54777 +/- 1.9893 km/s
  Vinf   =  57.62643 +/- 1.9541 km/s
  Zc     =  44.05000 +/- 0.1773 deg
  Zg     =  44.48795 +/- 0.2047 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.47210 +/- 2.1506 deg
  Bg     = +40.09308 +/- 1.1598 deg
  Vh     =  40.01684 +/- 0.9681 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  92.16101 +/- 7.8346 deg
  Bh     = +65.51793 +/- 1.6251 deg
  Vh_x   =   0.62532 +/- 2.5109 km/s
  Vh_y   = -16.57152 +/- 1.3207 km/s
  Vh_z   = -36.41897 +/- 0.3566 km/s
Orbit:
  La Sun = 140.191801 +/- nan deg
  a      =   5.924561 +/- 62.2637 AU
  e      =   0.843336 +/- 0.0831
  i      = 108.703585 +/- 3.3617 deg
  peri   = 144.731045 +/- 5.4910 deg
  node   = 140.191361 +/- 0.0002 deg
  Pi     = 284.922406 +/- 5.4908 deg
  q      =   0.928164 +/- 0.0210 AU
  f      =  35.265160 +/- 5.4911 deg
  M      =   1.709479 +/- nan deg
  Q      =  10.920957 +/- 124.5225 AU
  n      =   0.068347 +/- 0.0317 deg/day
  T      =  14.420651 +/- 339934519.0840 years
  Last perihelion JD = 2459414.492501 (2021-07-18 23:49:12.079797) +/- 3.2565 days
  Tj     =   0.510695 +/- 0.5435
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.155732e-03, +9.254860e-04, +1.669740e-01, -1.810434e-07, +4.128528e-03, +2.532234e-03
q   , +9.254860e-04, +3.081129e-04, +5.346211e-02, -5.868394e-08, +1.340844e-03, +8.259043e-04
Tp  , +1.669740e-01, +5.346211e-02, +9.386527e+00, -1.026571e-05, +2.343996e-01, +1.442031e-01
node, -1.810434e-07, -5.868394e-08, -1.026571e-05, +1.127708e-11, -2.566980e-07, -1.585047e-07
peri, +4.128528e-03, +1.340844e-03, +2.343996e-01, -2.566980e-07, +5.862744e-03, +3.608316e-03
i   , +2.532234e-03, +8.259043e-04, +1.442031e-01, -1.585047e-07, +3.608316e-03, +2.228592e-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. = 3.703e-06 s
  Stddev    = 1.92e-03 s

Begin point on the trajectory:
  Lon =     2.500567 +/- 0.0067 deg
  Lat =    52.673604 +/- 0.0010 deg
  Ht  = 108252.76 +/- 314.38 m
End point on the trajectory:
  Lon =     2.349143 +/- 0.0061 deg
  Lat =    52.582172 +/- 0.0020 deg
  Ht  = 93127.25 +/- 206.64 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
    UK002F,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   106408.20,    93139.50,          0.058397,       nan,       nan,              31.41, 0.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_000452_414_0323072.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   107843.90,    93127.25,          0.009001,     28.65,     24.14,              57.68, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_000451_885_0343552.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   108252.76,    93253.93,          0.007673,     18.57,     18.57,              44.16, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_000458_378_0349696.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,     UK002F,       1,  0.042962, 2459439.503438139334,  54.26060,  27.81866,               70.05773,  19.97876,        69.96685,       19.91414,     54.26060,     +27.81866,      54.38161,      +27.82592,  3243079.65, -2239481.11,  5132489.69,      52.662497,       +2.482128,  106408.20,  294790.13,       0.00,             2597.91,   149.40,      0.00,           58104.35,    549.13,     46.40,         385.60,  +3.89,  +1.54
  1,     UK002F,       1,  0.083114, 2459439.503438604064,  54.31125,  27.59778,               70.17572,  19.78257,        70.10948,       19.73557,     54.31125,     +27.59778,      54.39949,      +27.60311,  3242408.23, -2240280.11,  5130645.99,      52.653302,       +2.466856,  104882.71,  293001.31,    2118.59,             4716.50,   -45.83,  52764.14,           58104.35,    397.88,     33.25,         281.07,  +2.44,  +0.11
  2,     UK002F,       1,  0.123298, 2459439.503439069260,  54.36128,  27.31859,               70.33420,  19.54248,        70.28881,       19.51034,     54.36128,     +27.31859,      54.42188,      +27.32227,  3241574.20, -2241272.61,  5128355.77,      52.641872,       +2.447923,  102988.22,  290788.02,    4750.27,             7348.18,   270.19,  65490.89,           58104.35,    270.65,     22.40,         192.64,  +2.15,  -0.17
  3,     UK002F,       1,  0.163434, 2459439.503439533524,  54.36958,  27.08548,               70.48993,  19.36128,        70.43689,       19.32373,     54.36958,     +27.08548,      54.44037,      +27.08975,  3240892.62, -2242083.70,  5126484.16,      52.632524,       +2.432420,  101440.36,  288982.68,    6900.94,             9498.86,   107.97,  53584.60,           58104.35,    314.46,     26.11,         225.22,  +2.25,  -0.05
  4,     UK002F,       1,  0.203582, 2459439.503439998254,  54.38176,  26.83626,               70.65365,  19.16546,        70.59496,       19.12393,     54.38176,     +26.83626,      54.46005,      +26.84097,  3240172.81, -2242940.27,  5124507.58,      52.622644,       +2.416057,   99806.06,  287081.94,    9172.21,            11770.13,    65.66,  56572.48,           57592.65,    345.86,     28.78,         249.36,  +1.99,  -0.30
  5,     UK002F,       1,  0.243766, 2459439.503440463450,  54.45716,  26.58373,               70.77387,  18.93010,        70.75714,       18.91830,     54.45716,     +26.58373,      54.48021,      +26.58509,  3239442.31, -2243809.57,  5122501.67,      52.612611,       +2.399451,   98147.88,  285158.74,   11477.21,            14075.12,    54.99,  57361.00,           57413.28,     97.94,      8.00,          71.08,  +1.93,  -0.35
  6,     UK002F,       1,  0.283914, 2459439.503440928180,  54.46633,  26.32791,               70.94335,  18.73065,        70.91846,       18.71310,     54.46633,     +26.32791,      54.50022,      +26.32993,  3238723.50, -2244664.96,  5120527.82,      52.602730,       +2.383108,   96516.58,  283271.79,   13745.35,            16343.26,     9.54,  56494.41,           57250.82,    144.78,     11.87,         105.78,  +2.09,  -0.17
  7,     UK002F,       1,  0.324086, 2459439.503441392910,  54.50377,  26.05545,               71.10345,  18.50186,        71.09092,       18.49304,     54.50377,     +26.05545,      54.52155,      +26.05646,  3237963.77, -2245569.04,  5118441.63,      52.592280,       +2.365843,   94792.83,  281284.25,   16142.59,            18740.50,    91.81,  59674.42,           57385.16,     72.38,      5.90,          53.26,  +1.61,  -0.64
  8,     UK002F,       1,  0.364250, 2459439.503441857640,  54.53103,  25.78990,               71.26560,  18.28406,        71.25822,       18.27886,     54.53103,     +25.78990,      54.54222,      +25.79050,  3237234.91, -2246436.39,  5116440.19,      52.582246,       +2.349272,   93139.50,  279383.17,   18442.43,            21040.34,    77.15,  57261.27,           57439.59,     42.40,      3.45,          31.41,  +2.15,  -0.08
  0,     UK002K,       0,  0.003471, 2459439.503437682521,  17.72320,   6.58361,              115.41428,  25.40515,       115.41480,       25.40572,     17.72320,      +6.58361,      17.72251,       +6.58383,  3243711.42, -2238729.31,  5134224.51,      52.671143,       +2.496505,  107843.90,  242662.63,       0.00,              604.44,   431.64,      0.00,           53192.40,     -2.00,     -2.38,           2.64,  +3.71,  +1.78
  1,     UK002K,       0,  0.043703, 2459439.503438148182,  17.60983,   6.20108,              115.74737,  25.14381,       115.75601,       25.15326,     17.60983,      +6.20108,      17.59827,       +6.20483,  3243090.78, -2239467.87,  5132520.24,      52.662649,       +2.482375,  106433.48,  241653.34,    1958.37,             2562.81,    71.58,  48676.85,           53192.40,    -33.34,    -39.55,          44.15,  +2.36,  +0.44
  2,     UK002K,       0,  0.083947, 2459439.503438613843,  17.47604,   5.79146,              116.11408,  24.86988,       116.12296,       24.87956,     17.47604,      +5.79146,      17.46435,       +5.79531,  3242425.98, -2240258.99,  5130694.72,      52.653546,       +2.467251,  104923.03,  240585.98,    4056.06,             4660.50,  -149.84,  52124.48,           53192.40,    -34.08,    -40.42,          45.33,  +1.67,  -0.24
  3,     UK002K,       0,  0.124223, 2459439.503439079970,  17.32212,   5.32236,              116.53291,  24.55560,       116.54126,       24.56467,     17.32212,      +5.32236,      17.31133,       +5.32597,  3241671.31, -2241157.05,  5128622.43,      52.643203,       +2.450104,  103208.77,  239392.16,    6437.34,             7041.77,   -89.53,  59123.81,           53192.40,    -31.85,    -37.79,          42.58,  +1.32,  -0.58
  4,     UK002K,       0,  0.164487, 2459439.503439546097,  17.14800,   4.85547,              116.96724,  24.25290,       116.96089,       24.24602,     17.14800,      +4.85547,      17.15728,       +4.85272,  3240917.90, -2242053.61,  5126553.58,      52.632871,       +2.432985,  101497.77,  238218.19,    8814.64,             9419.08,   -32.50,  59042.87,           54920.73,     24.08,     28.59,          32.37,  +1.55,  -0.33
  5,     UK002K,       0,  0.204775, 2459439.503440012224,  16.99787,   4.36776,              117.38955,  23.91881,       117.38891,       23.91812,     16.99787,      +4.36776,      16.99959,       +4.36749,  3240153.05, -2242963.79,  5124453.32,      52.622373,       +2.415607,   99761.20,  237045.08,   11228.04,            11832.48,    59.25,  59903.86,           56126.87,      2.39,      2.84,           3.23,  +1.32,  -0.55
  6,     UK002K,       0,  0.245043, 2459439.503440478351,  16.86668,   3.91884,              117.77001,  23.60671,       117.77933,       23.61674,     16.86668,      +3.91884,      16.85513,       +3.92286,  3239458.76, -2243790.00,  5122546.82,      52.612837,       +2.399816,   98185.20,  235995.78,   13418.80,            14023.24,   -70.49,  54404.33,           56372.83,    -34.96,    -41.48,          47.42,  +1.37,  -0.49
  7,     UK002K,       0,  0.285335, 2459439.503440944478,  16.68475,   3.40615,              118.23214,  23.26608,       118.23095,       23.26480,     16.68475,      +3.40615,      16.68754,       +3.40564,  3238658.83, -2244741.92,  5120350.24,      52.601841,       +2.381647,   96369.84,  234807.85,   15942.88,            16547.32,   131.71,  62644.83,           56998.37,      4.44,      5.27,           6.05,  +1.08,  -0.77
  8,     UK002K,       0,  0.325607, 2459439.503441410605,  16.52175,   2.92845,              118.65473,  22.94420,       118.64809,       22.93710,     16.52175,      +2.92845,      16.53204,       +2.92559,  3237923.53, -2245616.93,  5118331.13,      52.591726,       +2.364931,   94701.54,  233733.98,   18263.04,            18867.48,   131.13,  57612.08,           57331.13,     24.61,     29.23,          33.72,  +1.30,  -0.54
  9,     UK002K,       0,  0.365875, 2459439.503441876732,  16.37876,   2.46963,              119.04628,  22.62703,       119.04353,       22.62410,     16.37876,      +2.46963,      16.38399,       +2.46845,  3237229.51, -2246442.82,  5116425.36,      52.582172,       +2.349143,   93127.25,  232736.66,   20452.95,            21057.38,     0.54,  54383.37,           57339.72,     10.16,     12.06,          13.98,  +1.51,  -0.32
  0,     UK0032,       0,  0.000000, 2459439.503437642008,  25.62708,  18.46973,              100.47559,  30.95266,       100.47185,       30.94805,     25.62708,     +18.46973,      25.63276,      +18.46813,  3243891.31, -2238515.23,  5134718.49,      52.673604,       +2.500567,  108252.76,  205822.88,       0.00,               36.81,    64.03,      0.00,           56424.30,     14.27,     14.27,          20.22,  +3.81,  +2.24
  1,     UK0032,       0,  0.040188, 2459439.503438107204,  25.49567,  18.03735,              100.90292,  30.69216,       100.90256,       30.69173,     25.49567,     +18.03735,      25.49637,      +18.03719,  3243177.40, -2239364.80,  5132758.10,      52.663835,       +2.484339,  106630.31,  204239.55,    2252.68,             2289.49,     0.82,  56053.64,           56424.30,      1.34,      1.34,           1.92,  +2.37,  +0.82
  2,     UK0032,       0,  0.080384, 2459439.503438572399,  25.36113,  17.58197,              101.34766,  30.41451,       101.35278,       30.42074,     25.36113,     +17.58197,      25.35379,      +17.58413,  3242438.73, -2240243.82,  5130729.73,      52.653720,       +2.467553,  104951.99,  202615.12,    4583.47,             4620.28,    15.26,  57985.64,           56424.30,    -19.09,    -19.07,          27.47,  +1.57,  +0.04
  3,     UK0032,       0,  0.120568, 2459439.503439037595,  25.22633,  17.14749,              101.77573,  30.15244,       101.78179,       30.15977,     25.22633,     +17.14749,      25.21778,      +17.15003,  3241741.96, -2241072.97,  5128816.43,      52.644172,       +2.451709,  103369.23,  201095.14,    6782.04,             6818.85,  -101.83,  54712.47,           56424.30,    -22.38,    -22.36,          32.45,  +1.56,  +0.04
  4,     UK0032,       0,  0.160772, 2459439.503439502791,  25.07407,  16.66562,              102.25079,  29.86230,       102.25561,       29.86810,     25.07407,     +16.66562,      25.06758,      +16.66764,  3240980.06, -2241979.64,  5126724.27,      52.633723,       +2.434399,  101638.92,  199448.58,    9186.14,             9222.94,   -14.55,  59797.47,           56980.06,    -17.60,    -17.59,          25.74,  +1.17,  -0.33
  5,     UK0032,       0,  0.200968, 2459439.503439967986,  24.91082,  16.18026,              102.73575,  29.57470,       102.73265,       29.57100,     24.91082,     +16.18026,      24.91623,      +16.17898,  3240220.98, -2242882.94,  5124639.87,      52.623306,       +2.417152,   99915.43,  197823.65,   11581.31,            11618.11,    64.27,  59587.27,           57511.31,     11.19,     11.18,          16.49,  +1.17,  -0.31
  6,     UK0032,       0,  0.241176, 2459439.503440433182,  24.77018,  15.69119,              103.20135,  29.26972,       103.20465,       29.27366,     24.77018,     +15.69119,      24.76631,      +15.69256,  3239477.66, -2243767.51,  5122598.72,      52.613096,       +2.400257,   98228.10,  196247.64,   13926.79,            13963.60,    92.72,  58333.84,           57789.20,    -11.83,    -11.83,          17.59,  +1.03,  -0.43
  7,     UK0032,       0,  0.281372, 2459439.503440898843,  24.62676,  15.22251,              103.65299,  28.98144,       103.65669,       28.98582,     24.62676,     +15.22251,      24.62252,      +15.22404,  3238772.82, -2244606.26,  5120663.26,      52.603408,       +2.384228,   96628.50,  194767.16,   16150.82,            16187.63,     0.39,  55329.55,           57699.99,    -13.10,    -13.09,          19.61,  +1.04,  -0.41
  8,     UK0032,       0,  0.321568, 2459439.503441364039,  24.47393,  14.73774,              104.12197,  28.68478,       104.12277,       28.68572,     24.47393,     +14.73774,      24.47411,      +14.73807,  3238053.00, -2245462.85,  5118686.66,      52.593508,       +2.367862,   94995.27,  193270.27,   18422.13,            18458.93,   -44.66,  56505.71,           57578.74,     -2.80,     -2.80,           4.23,  +0.98,  -0.45
  9,     UK0032,       0,  0.361772, 2459439.503441829234,  24.29577,  14.21610,              104.63632,  28.37226,       104.62470,       28.35863,     24.29577,     +14.21610,      24.31416,      +14.21135,  3237285.36, -2246376.35,  5116578.73,      52.582941,       +2.350417,   93253.93,  191691.47,   20844.35,            20881.16,    60.75,  60248.35,           57662.66,     40.30,     40.33,          61.35,  +1.13,  -0.28

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.