Orbital Analysis for matched events on 20210813_003154.155_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.26° Bg 37.88° Vg 64.49km/s
mass 0.02745g, abs. mag -0.4
Path Details
------------
start -1.96° 50.85° 126.63km
end   -2.14° 50.75° 108.85km

Orbit Details
-------------
Semimajor axis -2.54A.U., eccentricity 1.38, inclination 117.01°, Period 1000000000.00Y, LA Sun 140.21°, 

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: 2459439.522154580336
Time: 2021-08-13 00:31:54.196578 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK0022
 Convergence angle = 24.88803 deg
 R.A. =  48.56842  Dec = +57.50777 deg

Best intersection: Stations UK0006 and UK0022 with Qconv = 24.89 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3478524.52 +/- 66.66 m
 Y =  -2198101.85 +/- 110.91 m
 Z =   5023737.73 +/- 62.76 m
 Vx =    23152.80 +/- 291.31 m/s
 Vy =    26106.13 +/- 526.73 m/s
 Vz =    55358.38 +/- 304.24 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK0006: -0.000089 s
    UK000F: 0.000000 s
    UK0022: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:31:54.196578 UTC
  Lon     = +-1.936773 +/- 0.0009 deg
  Lat     = +50.864707 +/- 0.0005 deg
  Lat geo = +50.679904 +/- 0.0005 deg
  Ht      =  128460.89 +/- 116.46 m

  JD dynamic   = 2459439.522955793887 
  LST apparent = 327.7109465268 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.43107 +/- 0.7442 deg
  Dec       = +57.77567 +/- 0.2103 deg
  Azimuth   =  48.39969 +/- 0.1209 deg
  Elevation = +45.27174 +/- 0.4374 deg
  Vavg      =  64.61070 +/- 0.0369 km/s
  Vinit     =  65.43800 +/- 0.2097 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.50985 +/- 0.7442 deg
  Dec       = +57.55683 +/- 0.2103 deg
  Azimuth   =  48.64634 +/- 0.1209 deg
  Elevation = +45.13223 +/- 0.4374 deg
  Vavg      =  64.76910 +/- 0.0369 km/s
  Vinit     =  65.59641 +/- 0.2097 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.58092 +/- 0.7468 deg
  Dec    = +57.53612 +/- 0.2147 deg
  Vg     =  64.49320 +/- 0.2128 km/s
  Vinf   =  65.43800 +/- 0.2097 km/s
  Zc     =  44.85113 +/- 0.4374 deg
  Zg     =  45.19501 +/- 0.4430 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.26262 +/- 0.3942 deg
  Bg     = +37.88036 +/- 0.3292 deg
  Vh     =  45.83546 +/- 0.2836 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.19868 +/- 0.7975 deg
  Bh     = +59.76467 +/- 0.4354 deg
  Vh_x   =  -4.32539 +/- 0.2827 km/s
  Vh_y   = -22.67165 +/- 0.2402 km/s
  Vh_z   = -39.60020 +/- 0.4111 km/s
Orbit:
  La Sun = 140.209773 +/- -0.0000 deg
  a      =  -2.536099 +/- 0.1560 AU
  e      =   1.378985 +/- 0.0302
  i      = 117.013076 +/- 0.2584 deg
  peri   = 155.683410 +/- 1.0909 deg
  node   = 140.208794 +/- 0.0000 deg
  Pi     = 295.892204 +/- 1.0909 deg
  q      =   0.961142 +/- 0.0040 AU
  f      =  24.312605 +/- 1.0909 deg
  M      =        nan +/- nan deg
  Q      =  -6.033339 +/- 0.3083 AU
  n      =   0.244037 +/- 0.0289 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -2.654193 +/- 0.1544
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.345290
 a2 = 13.633230

Mean time residuals from time vs. length:
  Station with reference time: UK0022
  Avg. res. = 3.852e-06 s
  Stddev    = 1.96e-03 s

Begin point on the trajectory:
  Lon =    -1.955685 +/- 0.0008 deg
  Lat =    50.854077 +/- 0.0004 deg
  Ht  = 126627.59 +/- 97.57 m
End point on the trajectory:
  Lon =    -2.141007 +/- 0.0007 deg
  Lat =    50.750402 +/- 0.0004 deg
  Ht  = 108853.89 +/- 59.88 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,  62.132440,   121845.64,   108853.89,          0.014209,     41.01,     15.67,              84.23, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20210813_003146_446_0372992.fits"}
    UK000F,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   121430.28,   115972.09,          0.626067,       nan,       nan,              84.23, 0.0000,    True,   False, {"ff_name": "FF_UK000F_20210813_003154_013_0368640.fits"}
    UK0022,   False,    -0.848117,    51.261084,   92.00,  38.478260,   0.000000,   126627.59,   111546.44,          0.009550,     17.90,     18.38,              78.13, 1.0000,    True,    True, {"ff_name": "FF_UK0022_20210813_003147_113_0148480.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,     UK0006,       0,  0.138503, 2459439.522156184539, 311.74508,   6.80251,              202.77393,  42.88880,       202.77791,       42.88976,    311.74508,      +6.80251,     311.74304,       +6.80413,  3475228.53, -2201818.27,  5015857.01,      50.826295,       -2.005457,  121845.64,  177010.64,       0.00,             9315.63,   282.61,      0.00,           63657.52,      3.38,     -8.84,          11.03,  +3.23,  +1.99
  1,     UK0006,       0,  0.179183, 2459439.522156655323, 311.32420,   6.17935,              203.11970,  42.18291,       203.09604,       42.17726,    311.32420,      +6.17935,     311.34068,       +6.16959,  3474410.71, -2202740.40,  5013901.62,      50.816746,       -2.022572,  120205.22,  176939.95,    2311.43,            11627.06,   -67.98,  56819.84,           63657.52,    -20.32,     53.15,          66.33,  +0.55,  -0.69
  2,     UK0006,       0,  0.219979, 2459439.522157127503, 310.85983,   5.43571,              203.47550,  41.34864,       203.45776,       41.34441,    310.85983,      +5.43571,     310.87267,       +5.42832,  3473456.43, -2203816.41,  5011619.93,      50.805594,       -2.042517,  118291.58,  176895.23,    5008.57,            14324.19,   -40.45,  66112.72,           63657.52,    -15.41,     40.31,          50.32,  +0.18,  -1.06
  3,     UK0006,       0,  0.260791, 2459439.522157599684, 310.37878,   4.68524,              203.84278,  40.50258,       203.81618,       40.49625,    310.37878,      +4.68524,     310.39793,       +4.67405,  3472486.16, -2204910.45,  5009300.00,      50.794245,       -2.062795,  116346.42,  176892.05,    7750.91,            17066.54,    31.24,  67194.49,           63657.52,    -23.37,     61.11,          76.29,  -0.09,  -1.33
  4,     UK0006,       0,  0.301543, 2459439.522158071399, 309.94888,   3.97865,              204.15261,  39.71083,       204.14112,       39.70810,    309.94888,      +3.97865,     309.95801,       +3.97377,  3471585.54, -2205925.95,  5007146.62,      50.783701,       -2.081632,  114541.40,  176927.56,   10296.37,            19612.00,   -90.03,  62462.31,           63854.24,    -10.19,     26.66,          33.28,  -0.18,  -1.42
  5,     UK0006,       0,  0.342359, 2459439.522158544045, 309.47937,   3.21909,              204.48806,  38.85696,       204.48350,       38.85588,    309.47937,      +3.21909,     309.48397,       +3.21713,  3470612.13, -2207023.52,  5004819.21,      50.772295,       -2.101980,  112591.05,  177007.00,   13047.56,            22363.19,    -9.76,  67404.71,           64418.27,     -4.10,     10.72,          13.38,  +0.27,  -0.97
  6,     UK0006,       0,  0.383123, 2459439.522159015760, 309.04341,   2.50547,              204.79051,  38.05526,       204.79705,       38.05681,    309.04341,      +2.50547,     309.04044,       +2.50831,  3469699.51, -2208052.55,  5002637.13,      50.761593,       -2.121070,  110762.99,  177120.67,   15626.95,            24942.58,   -97.88,  63276.13,           64497.25,      5.93,    -15.53,          19.36,  -0.14,  -1.38
  7,     UK0006,       0,  0.423919, 2459439.522159487940, 308.59562,   1.75714,              205.08994,  37.21620,       205.11668,       37.22254,    308.59562,      +1.75714,     308.57849,       +1.76884,  3468746.17, -2209127.50,  5000357.69,      50.750402,       -2.141007,  108853.89,  177279.42,   18321.44,            27637.06,   -73.01,  66047.81,           64659.43,     24.52,    -64.22,          79.98,  +0.23,  -1.01
  8,     UK0006,       1,  0.464403, 2459439.522159956396, 308.33997,   1.29322,              205.24607,  36.70145,       205.30863,       36.71628,    308.33997,      +1.29322,     308.29743,       +1.32075,  3468167.66, -2209779.80,  4998974.48,      50.743607,       -2.153171,  107695.62,  177397.24,   19956.49,            29272.12, -1087.14,  40387.74,           63129.67,     57.70,   -151.31,         188.29,  +4.30,  +3.06
  0,     UK000F,       1,  0.148527, 2459439.522156299558, 311.11260,   6.97091,              203.66121,  42.89816,       202.85907,       42.70951,    311.11260,      +6.97091,     311.64113,       +6.64356,  3475021.47, -2202051.74,  5015361.94,      50.823878,       -2.009788,  121430.28,  176989.85,       0.00,             9900.84,   211.88,      0.00,           63364.80,   -700.32,   1775.93,        2224.83,  +1.56,  +0.32
  1,     UK000F,       1,  0.188947, 2459439.522156767081, 310.66761,   6.30250,              204.01393,  42.14017,       203.19630,       41.94829,    310.66761,      +6.30250,     311.21194,       +5.96570,  3474148.13, -2203036.48,  5013273.78,      50.813678,       -2.028053,  119678.61,  176923.39,    2468.37,            12369.21,    35.24,  61068.01,           63364.80,   -722.01,   1828.94,        2292.43,  +1.12,  -0.12
  2,     UK000F,       1,  0.229403, 2459439.522157235537, 310.23909,   5.59272,              204.32468,  41.34538,       203.53631,       41.16059,    310.23909,      +5.59272,     310.76959,       +5.26480,  3473246.05, -2204053.63,  5011116.90,      50.803134,       -2.046916,  117869.76,  176890.96,    5017.97,            14918.82,   -62.51,  63021.66,           63364.80,   -703.37,   1782.94,        2234.99,  +0.73,  -0.51
  3,     UK000F,       1,  0.269871, 2459439.522157703992, 309.76973,   4.86036,              204.67341,  40.51748,       203.88426,       40.33286,    309.76973,      +4.86036,     310.30657,       +4.52884,  3472299.40, -2205121.03,  5008853.47,      50.792059,       -2.066704,  115972.09,  176896.44,    7693.53,            17594.37,   -35.10,  66115.28,           63364.80,   -712.38,   1804.82,        2262.50,  +0.62,  -0.62
  0,     UK0022,       1,  0.000000, 2459439.522154580336, 294.47978,  27.40295,              240.43754,  54.86818,       240.40087,       54.87114,    294.47978,     +27.40295,     294.50060,      +27.39236,  3478530.37, -2198095.25,  5023751.72,      50.864775,       -1.936481,  128472.64,  156215.19,       0.00,               16.55,    46.88,      0.00,           64464.13,    -41.62,     40.53,          76.71,  +5.02,  +4.05
  1,     UK0022,       0,  0.040824, 2459439.522155052982, 293.97475,  26.57778,              240.18522,  53.93982,       240.18375,       53.93994,    293.97475,     +26.57778,     293.97577,      +26.57735,  3477611.41, -2199131.43,  5021554.49,      50.854077,       -1.955685,  126627.59,  155729.98,    2597.30,             2580.75,   -60.35,  63621.88,           64464.13,     -1.69,      1.65,           3.13,  +2.84,  +1.88
  2,     UK0022,       0,  0.081616, 2459439.522155525163, 293.46541,  25.79450,              240.00134,  53.03956,       239.98343,       53.04101,    293.46541,     +25.79450,     293.47627,      +25.78917,  3476729.95, -2200125.33,  5019446.91,      50.843808,       -1.974114,  124858.28,  155304.38,    5088.63,             5072.09,  -238.36,  61074.10,           64464.13,    -21.10,     20.56,          39.13,  +1.57,  +0.61
  3,     UK0022,       0,  0.122532, 2459439.522155998740, 292.89984,  24.88301,              239.77677,  52.00350,       239.76205,       52.00469,    292.89984,     +24.88301,     292.90915,      +24.87856,  3475719.38, -2201264.81,  5017030.63,      50.832023,       -1.995220,  122830.39,  154863.67,    7944.86,             7928.32,   -59.60,  69807.08,           64464.13,    -17.69,     17.23,          32.88,  +1.12,  +0.17
  4,     UK0022,       0,  0.163376, 2459439.522156471387, 292.39434,  24.03712,              239.56527,  51.04960,       239.56732,       51.04944,    292.39434,     +24.03712,     292.39377,      +24.03775,  3474793.23, -2202309.09,  5014816.21,      50.821213,       -2.014580,  120972.44,  154505.76,   10562.49,            10545.94,  -114.72,  64088.36,           64811.21,      2.52,     -2.45,           4.70,  +1.08,  +0.14
  5,     UK0022,       0,  0.204280, 2459439.522156944498, 291.85515,  23.13137,              239.35597,  50.02643,       239.36711,       50.02554,    291.85515,     +23.13137,     291.84912,      +23.13483,  3473805.10, -2203423.26,  5012453.60,      50.809670,       -2.035225,  118990.72,  154171.79,   13355.28,            13338.73,     1.39,  68276.70,           65406.15,     13.90,    -13.55,          25.97,  +0.85,  -0.09
  6,     UK0022,       0,  0.245180, 2459439.522157418076, 291.31484,  22.22981,              239.17033,  49.00330,       239.17558,       49.00288,    291.31484,     +22.22981,     291.31257,      +22.23147,  3472822.45, -2204531.26,  5010104.07,      50.798179,       -2.055760,  117020.54,  153889.48,   16132.60,            16116.06,   102.31,  67905.35,           65886.57,      6.68,     -6.51,          12.50,  +0.98,  +0.04
  7,     UK0022,       0,  0.286016, 2459439.522157890722, 290.80548,  21.39801,              239.02639,  48.05124,       239.00494,       48.05297,    290.80548,     +21.39801,     290.82034,      +21.39117,  3471913.11, -2205556.59,  5007929.85,      50.787537,       -2.074777,  115197.86,  153673.18,   18702.71,            18686.17,     0.19,  62937.37,           65841.00,    -27.76,     27.03,          52.00,  +0.80,  -0.13
  8,     UK0022,       0,  0.326928, 2459439.522158364300, 290.28822,  20.47509,              238.82789,  47.01818,       238.82581,       47.01835,    290.28822,     +20.47509,     290.29093,      +20.47442,  3470925.30, -2206670.40,  5005568.00,      50.775966,       -2.095424,  113218.47,  153486.30,   21494.61,            21478.06,   114.88,  68241.41,           65979.96,     -2.74,      2.67,           5.14,  +0.99,  +0.06
  9,     UK0022,       0,  0.367696, 2459439.522158836015, 289.82822,  19.70558,              238.70655,  46.13965,       238.68004,       46.14179,    289.82822,     +19.70558,     289.84710,      +19.69692,  3470090.67, -2207611.50,  5003572.39,      50.766181,       -2.112896,  111546.44,  153369.05,   23853.58,            23837.03,  -193.92,  57863.24,           65609.10,    -35.47,     34.53,          66.57,  +2.12,  +1.19

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.