Orbital Analysis for matched events on 20210813_234240.575_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.09° Bg 38.34° Vg 56.89km/s
mass 0.00537g, abs. mag 0.8
Path Details
------------
start -1.39° 51.07° 111.49km
end   -1.49° 51.00° 102.36km

Orbit Details
-------------
Semimajor axis 4.36A.U., eccentricity 0.79, inclination 111.50°, Period 9.10Y, LA Sun 141.14°, last Perihelion 2021-07-19

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: 2459440.487969623879
Time: 2021-08-13 23:42:40.575503 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK0002
 Convergence angle = 45.07382 deg
 R.A. =  50.73762  Dec = +58.10418 deg
Intersection 2 - Stations: UK0001 and UK002W
 Convergence angle = 42.24166 deg
 R.A. =  50.27196  Dec = +58.25593 deg
Intersection 3 - Stations: UK0001 and UK0038
 Convergence angle = 43.18642 deg
 R.A. =  47.80406  Dec = +59.01178 deg
Intersection 4 - Stations: UK0002 and UK002W
 Convergence angle = 87.31513 deg
 R.A. =  50.65443  Dec = +58.29341 deg
Intersection 5 - Stations: UK0002 and UK0038
 Convergence angle = 88.24686 deg
 R.A. =  50.20087  Dec = +59.28975 deg
Intersection 6 - Stations: UK002W and UK0038
 Convergence angle = 1.38363 deg
 R.A. = 353.37097  Dec = +30.16800 deg

Best intersection: Stations UK0002 and UK0038 with Qconv = 88.25 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2983731.85 +/- 39.21 m
 Y =  -2791445.58 +/- 22.79 m
 Z =   5025380.43 +/- 65.37 m
 Vx =    19097.97 +/- 144.36 m/s
 Vy =    23167.07 +/- 209.12 m/s
 Vz =    49582.10 +/- 103.12 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.718395e+03, +2.727634e+02, +2.217193e+03, +4.303310e+03, -4.615938e+03, +4.458724e+02
+2.727634e+02, +5.567580e+02, +2.442917e+02, +1.003716e+03, +2.652620e+03, -1.608105e+03
+2.217193e+03, +2.442917e+02, +4.684140e+03, +2.220465e+03, -9.959550e+03, +3.708945e+03
+4.303310e+03, +1.003716e+03, +2.220465e+03, +2.320645e+04, -6.132803e+03, -6.229317e+03
-4.615938e+03, +2.652620e+03, -9.959550e+03, -6.132803e+03, +4.706970e+04, -1.926468e+04
+4.458724e+02, -1.608105e+03, +3.708945e+03, -6.229317e+03, -1.926468e+04, +1.129388e+04

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK0002: 0.000358 s
    UK0022: 0.000000 s
    UK002W: 0.000500 s
    UK0038: 0.000532 s

Reference point on the trajectory:
  Time: 2021-08-13 23:42:40.575503 UTC
  Lon     = +-1.385925 +/- 0.0005 deg
  Lat     = +51.071866 +/- 0.0003 deg
  Lat geo = +50.886859 +/- 0.0003 deg
  Ht      =  111541.38 +/- 64.95 m

  JD dynamic   = 2459440.488770364784 
  LST apparent = 316.9069757093 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.49925 +/- 0.3600 deg
  Dec       = +58.80330 +/- 0.1973 deg
  Azimuth   =  42.57258 +/- 0.2068 deg
  Elevation = +40.16929 +/- 0.2211 deg
  Vavg      =  57.68913 +/- 0.1535 km/s
  Vinit     =  57.96405 +/- 0.0000 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.46397 +/- 0.3600 deg
  Dec       = +58.55253 +/- 0.1973 deg
  Azimuth   =  42.85513 +/- 0.2068 deg
  Elevation = +40.04076 +/- 0.2211 deg
  Vavg      =  57.84372 +/- 0.1535 km/s
  Vinit     =  58.11863 +/- 0.0000 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.85404 +/- 0.3589 deg
  Dec    = +58.44179 +/- 0.1998 deg
  Vg     =  56.89243 +/- 0.0000 km/s
  Vinf   =  57.96405 +/- 0.0000 km/s
  Zc     =  49.96707 +/- 0.2210 deg
  Zg     =  50.46524 +/- 0.2235 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.08602 +/- 0.2091 deg
  Bg     = +38.34247 +/- 0.2195 deg
  Vh     =  39.34366 +/- 0.0953 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  88.03425 +/- 0.4837 deg
  Bh     = +63.77579 +/- 0.3046 deg
  Vh_x   =  -0.59635 +/- 0.1427 km/s
  Vh_y   = -17.37514 +/- 0.1566 km/s
  Vh_z   = -35.29409 +/- 0.1703 km/s
Orbit:
  La Sun = 141.137260 +/- -0.0000 deg
  a      =   4.360028 +/- 0.1675 AU
  e      =   0.786244 +/- 0.0077
  i      = 111.500686 +/- 0.2688 deg
  peri   = 144.899623 +/- 0.6749 deg
  node   = 141.136369 +/- 0.0000 deg
  Pi     = 286.035992 +/- 0.6750 deg
  q      =   0.931981 +/- 0.0028 AU
  f      =  35.096477 +/- 0.6749 deg
  M      =   2.746405 +/- 0.1791 deg
  Q      =   7.788074 +/- 0.3337 AU
  n      =   0.108261 +/- 0.0059 deg/day
  T      =   9.104047 +/- 0.5308 years
  Last perihelion JD = 2459415.120292 (2021-07-19 14:53:13.212104) +/- 0.4610 days
  Tj     =   0.779047 +/- 0.0402
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.294891e-05, +8.250470e-06, +2.206456e-03, +2.762486e-09, +4.688013e-05, -3.785468e-05
q   , +8.250470e-06, +8.388609e-06, +1.352996e-03, +5.151699e-10, +3.547965e-05, -7.064620e-06
Tp  , +2.206456e-03, +1.352996e-03, +2.322545e-01, +1.191190e-07, +5.914731e-03, -1.633039e-03
node, +2.762486e-09, +5.151699e-10, +1.191190e-07, +1.244492e-13, +2.671937e-09, -1.705407e-09
peri, +4.688013e-05, +3.547965e-05, +5.914731e-03, +2.671937e-09, +1.526962e-04, -3.663444e-05
i   , -3.785468e-05, -7.064620e-06, -1.633039e-03, -1.705407e-09, -3.663444e-05, +2.337047e-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: UK0001
  Avg. res. = 1.353e-06 s
  Stddev    = 1.16e-03 s

Begin point on the trajectory:
  Lon =    -1.386531 +/- 0.0003 deg
  Lat =    51.071451 +/- 0.0002 deg
  Ht  = 111487.47 +/- 59.55 m
End point on the trajectory:
  Lon =    -1.490167 +/- 0.0003 deg
  Lat =    51.000898 +/- 0.0001 deg
  Ht  = 102360.59 +/- 30.70 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
    UK0001,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   111487.47,   102475.53,          0.013086,     20.58,     16.88,              31.43, 0.2719,    True,    True, {"ff_name": "FF_UK0001_20210813_234231_602_0321024.fits"}
    UK0002,   False,     0.265820,    50.757180,   60.00,   0.000000,   0.000000,   109574.50,   105307.23,          0.009400,      2.32,     26.88,              78.85, 0.9626,    True,    True, {"ff_name": "FF_UK0002_20210813_234237_481_0331520.fits"}
    UK0022,    True,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,   110265.41,   104512.76,          2.590723,       nan,       nan,              69.66, 0.0000,    True,    True, {"ff_name": "FF_UK0022_20210813_234241_654_0030976.fits"}
    UK002W,   False,    -2.374601,    51.371449,   48.00,   0.000000,   0.000000,   109919.19,   102360.59,          0.024939,     57.49,      2.49,              48.64, 0.5633,    True,    True, {"ff_name": "FF_UK002W_20210813_234236_765_0315648.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   109003.92,   102902.06,          0.021612,     48.18,      2.16,              48.16, 0.5550,   False,    True, {"ff_name": "FF_UK0038_20210813_234235_535_0315648.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,     UK0001,       0,  0.000000, 2459440.487969623879, 345.04071,  60.04541,               49.08170,  71.60537,        48.98414,       71.61070,    345.04071,     +60.04541,     345.01222,      +60.07322,  2983704.31, -2791478.99,  5025308.94,      51.071451,       -1.386531,  111487.47,  117349.75,       0.00,               83.58,  -226.72,      0.00,           60337.98,     40.56,    -49.48,         112.46,  +2.81,  +2.46
  1,     UK0001,       0,  0.039548, 2459440.487970081624, 343.89829,  59.79556,               49.29158,  72.22667,        49.31453,       72.22543,    343.89829,     +59.79556,     343.90509,      +59.78928,  2982927.42, -2792421.42,  5023291.96,      51.059725,       -1.403789,  109966.72,  115352.94,    2357.95,             2441.53,  -127.10,  59622.58,           60337.98,     -9.09,     11.06,          25.61,  +1.86,  +1.55
  2,     UK0001,       0,  0.079032, 2459440.487970538437, 342.60169,  59.44647,               49.70939,  72.95891,        49.74068,       72.95723,    342.60169,     +59.44647,     342.61094,      +59.43832,  2982034.51, -2793504.57,  5020973.80,      51.046237,       -1.423598,  108219.48,  113075.84,    5068.00,             5151.58,   330.59,  68636.66,           60337.98,    -11.69,     14.21,          33.57,  +1.37,  +1.10
  3,     UK0001,       0,  0.118652, 2459440.487970997114, 341.65413,  59.15716,               50.11454,  73.51032,        50.08406,       73.51197,    341.65413,     +59.15716,     341.64606,      +59.16479,  2981381.38, -2794296.85,  5019278.16,      51.036365,       -1.438132,  106941.84,  111421.97,    7050.30,             7133.88,    41.26,  50032.69,           60337.98,     10.87,    -13.23,          31.71,  +0.95,  +0.72
  4,     UK0001,       0,  0.158204, 2459440.487971454859, 340.56615,  58.84312,               50.50951,  74.14317,        50.50565,       74.14338,    340.56615,     +58.84312,     340.56575,      +58.84404,  2980659.39, -2795172.68,  5017403.72,      51.025446,       -1.454181,  105529.89,  109606.91,    9241.61,             9325.19,   -33.30,  55403.31,           58594.92,      1.31,     -1.59,           3.88,  +1.00,  +0.80
  5,     UK0001,       0,  0.197676, 2459440.487971911673, 339.30653,  58.45160,               51.04994,  74.89283,        51.05404,       74.89261,    339.30653,     +58.45160,     339.30846,      +58.45068,  2979830.47, -2796178.22,  5015251.67,      51.012900,       -1.472580,  103909.35,  107540.97,   11757.47,            11841.05,   223.50,  63737.86,           58830.39,     -1.30,      1.58,           3.93,  +1.46,  +1.30
  6,     UK0001,       0,  0.237192, 2459440.487972368952, 338.17509,  58.08134,               51.59516,  75.57980,        51.60421,       75.57931,    338.17509,     +58.08134,     338.17844,      +58.07940,  2979096.82, -2797068.17,  5013346.99,      51.001790,       -1.488884,  102475.53,  105728.72,   13984.14,            14067.72,   183.74,  56348.51,           58648.83,     -2.70,      3.29,           8.30,  +2.17,  +2.05
  7,     UK0001,       1,  0.276784, 2459440.487972827628, 337.24564,  57.82560,               51.85123,  76.13180,        52.07082,       76.12016,    337.24564,     +57.82560,     337.30272,      +57.78065,  2978536.34, -2797748.07,  5011891.88,      50.993296,       -1.501378,  101380.41,  104354.64,   15685.25,            15768.82,  -391.96,  42965.92,           57264.30,    -62.54,     75.73,         194.13,  +4.92,  +4.83
  0,     UK0002,       0,  0.044860, 2459440.487970138900, 247.62459,  40.05801,              286.44226,  41.04000,       286.44964,       41.03472,    247.62459,     +40.05801,     247.61487,      +40.05920,  2982727.00, -2792664.53,  5022771.66,      51.056698,       -1.408219,  109574.50,  164999.14,       0.00,             3049.80,   -93.70,      0.00,           53911.19,     22.02,     -1.90,          27.63,  +4.29,  +3.20
  1,     UK0002,       0,  0.085380, 2459440.487970607821, 247.46013,  39.22599,              285.67796,  40.42934,       285.68919,       40.42136,    247.46013,     +39.22599,     247.44556,      +39.22778,  2981921.03, -2793642.23,  5020679.18,      51.044523,       -1.426120,  107997.47,  164605.70,    2446.21,             5496.01,   168.19,  60370.43,           53911.19,     33.49,     -2.89,          42.12,  +2.87,  +1.79
  2,     UK0002,       0,  0.125804, 2459440.487971075810, 247.32225,  38.55822,              285.08024,  39.93046,       285.08832,       39.92475,    247.32225,     +38.55822,     247.31214,      +38.55949,  2981276.51, -2794424.08,  5019005.88,      51.034780,       -1.440468,  106736.72,  164318.47,    4402.39,             7452.19,   -55.09,  48391.62,           53911.19,     24.05,     -2.07,          30.30,  +2.02,  +0.94
  3,     UK0002,       0,  0.166296, 2459440.487971544266, 247.15114,  37.80038,              284.42403,  39.34989,       284.41511,       39.35615,    247.15114,     +37.80038,     247.16349,      +37.79899,  2980545.52, -2795310.81,  5017108.09,      51.023723,       -1.456718,  105307.23,  164019.33,    6621.01,             9670.80,   -19.40,  54791.41,           53911.19,    -26.58,      2.28,          33.55,  +2.20,  +1.13
  0,     UK0022,       1,  0.028976, 2459440.487969959155, 295.69132,  35.88758,              233.75635,  68.14279,       240.39219,       67.62074,    295.69132,     +35.88758,     292.91523,      +37.12434,  2983080.03, -2792236.29,  5023688.17,      51.062029,       -1.400387,  110265.41,  118976.93,       0.00,             1978.34,   -83.40,      0.00,           57896.34,   3899.99,  -3582.67,        9184.11,  +1.83,  +1.45
  1,     UK0022,       1,  0.069876, 2459440.487970432732, 295.03351,  34.97263,              233.37828,  67.09222,       239.75770,       66.59067,    295.03351,     +34.97263,     292.27387,      +36.19853,  2982321.23, -2793156.75,  5021718.19,      51.050569,       -1.417252,  108780.47,  118252.52,    2303.01,             4281.35,   -42.69,  56308.27,           57896.34,   3886.48,  -3568.50,        9206.31,  +1.26,  +0.90
  2,     UK0022,       1,  0.110840, 2459440.487970906775, 294.36249,  33.98205,              232.96984,  65.96938,       239.13407,       65.48570,    294.36249,     +33.98205,     291.60432,      +35.20389,  2981518.87, -2794130.07,  5019635.10,      51.038444,       -1.435075,  107210.77,  117530.76,    4738.25,             6716.59,   126.12,  59448.28,           57896.34,   3894.79,  -3576.36,        9282.96,  +1.50,  +1.15
  3,     UK0022,       1,  0.151788, 2459440.487971380819, 293.72672,  33.00883,              232.59358,  64.87221,       238.57417,       64.40403,    293.72672,     +33.00883,     290.96582,      +34.22888,  2980744.29, -2795069.68,  5017624.15,      51.026730,       -1.452286,  105695.92,  116878.30,    7089.15,             9067.50,   210.41,  57411.96,           57896.34,   3909.53,  -3590.69,        9371.12,  +2.09,  +1.75
  4,     UK0022,       1,  0.192536, 2459440.487971852534, 293.27572,  32.21986,              232.22872,  64.01081,       238.16430,       63.54840,    293.27572,     +32.21986,     290.47118,      +33.45717,  2980139.16, -2795803.75,  5016053.10,      51.017573,       -1.465768,  104512.76,  116400.18,    8925.79,            10904.13,  -210.44,  45073.04,           55347.00,   3978.56,  -3659.95,        9582.92,  +6.11,  +5.78
  0,     UK002W,       0,  0.035491, 2459440.487970029004, 351.87838,  28.34410,              116.71835,  54.64792,       116.74072,       54.69486,    351.87838,     +28.34410,     351.83336,      +28.37222,  2982903.13, -2792450.88,  5023228.91,      51.059358,       -1.404304,  109919.19,  134062.82,       0.00,             2515.24,   199.56,      0.00,           57424.71,     -4.97,   -113.82,         175.29,  +3.05,  +2.41
  1,     UK002W,       0,  0.075423, 2459440.487970490940, 351.41007,  27.82475,              117.83607,  54.50397,       117.84327,       54.51829,    351.41007,     +27.82475,     351.39658,      +27.83333,  2982243.57, -2793250.97,  5021516.56,      51.049396,       -1.418982,  108628.50,  132777.53,    2001.83,             4517.07,  -148.68,  50130.92,           57424.71,     -1.48,    -34.54,          53.70,  +1.68,  +1.06
  2,     UK002W,       0,  0.115375, 2459440.487970953342, 350.87657,  27.15988,              119.18093,  54.27413,       119.18745,       54.28631,    350.87657,     +27.15988,     350.86528,      +27.16717,  2981447.91, -2794216.14,  5019450.89,      51.037371,       -1.436653,  107071.98,  131252.38,    4416.71,             6931.95,   -82.55,  60444.50,           57424.71,     -1.25,    -29.21,          45.95,  +1.02,  +0.43
  3,     UK002W,       0,  0.155311, 2459440.487971415743, 350.31798,  26.48558,              120.55626,  54.04045,       120.55183,       54.03266,    350.31798,     +26.48558,     350.32618,      +26.48092,  2980649.36, -2795184.84,  5017377.68,      51.025294,       -1.454387,  105510.28,  129749.06,    6840.39,             9355.64,    -7.77,  60689.29,           57424.71,      0.78,     18.58,          29.57,  +1.13,  +0.56
  4,     UK002W,       0,  0.195295, 2459440.487971878611, 349.84290,  25.82571,              121.80443,  53.76384,       121.81500,       53.78150,    349.84290,     +25.82571,     349.82654,      +25.83629,  2979917.52, -2796072.62,  5015477.67,      51.014218,       -1.470653,  104079.50,  128395.75,    9061.60,            11576.84,  -139.75,  55552.46,           57476.94,     -1.79,    -41.94,          67.44,  +2.02,  +1.48
  5,     UK002W,       0,  0.235255, 2459440.487972341012, 349.24109,  25.02778,              123.33213,  53.43187,       123.34614,       53.45395,    349.24109,     +25.02778,     349.22051,      +25.04102,  2979038.00, -2797139.53,  5013194.27,      51.000898,       -1.490167,  102360.59,  126803.19,   11731.02,            14246.26,   179.18,  66802.15,           58824.41,     -2.23,    -52.18,          84.95,  +4.68,  +4.16
  0,     UK0038,       0,  0.062375, 2459440.487970339600, 351.92944,  28.33741,              116.64744,  54.61620,       116.64977,       54.62113,    351.92944,     +28.33741,     351.92496,      +28.34036,  2982435.43, -2793018.22,  5022014.67,      51.052295,       -1.414706,  109003.92,  132921.78,       0.00,             3934.75,    20.16,      0.00,           57124.41,     -0.53,    -11.83,          18.38,  +2.29,  +1.67
  1,     UK0038,       0,  0.102779, 2459440.487970807124, 351.42243,  27.70466,              117.93217,  54.40543,       117.93604,       54.41308,    351.42243,     +27.70466,     351.41548,      +27.70924,  2981671.23, -2793945.24,  5020030.67,      51.040747,       -1.431687,  107508.80,  131434.55,    2319.40,             6254.15,    -9.40,  57405.31,           57124.41,     -0.82,    -18.28,          28.71,  +1.30,  +0.71
  2,     UK0038,       0,  0.143211, 2459440.487971275114, 350.89124,  27.03238,              119.27889,  54.16771,       119.28429,       54.17772,    350.89124,     +27.03238,     350.88216,      +27.03838,  2980879.71, -2794905.42,  5017975.71,      51.028779,       -1.449269,  105960.71,  129920.27,    4721.76,             8656.51,    42.01,  59417.14,           57124.41,     -1.06,    -23.79,          37.80,  +1.10,  +0.53
  3,     UK0038,       0,  0.183623, 2459440.487971743103, 350.41882,  26.40052,              120.50276,  53.92084,       120.51772,       53.94715,    350.41882,     +26.40052,     350.39408,      +26.41626,  2980163.57, -2795774.14,  5016116.46,      51.017943,       -1.465192,  104560.49,  128573.13,    6895.31,            10830.06,  -136.27,  53784.88,           57124.41,     -2.79,    -62.19,          99.87,  +1.62,  +1.07
  4,     UK0038,       0,  0.224119, 2459440.487972211558, 349.84339,  25.63901,              121.97198,  53.61550,       121.99299,       53.65029,    349.84339,     +25.63901,     349.81046,      +25.65985,  2979315.09, -2796803.40,  5013913.65,      51.005096,       -1.484026,  102902.06,  127008.06,    9470.52,            13405.27,    83.51,  63591.58,           58162.89,     -3.68,    -81.84,         133.05,  +3.22,  +2.70

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.