Orbital Analysis for matched events on 20210813_204908.803_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.21° Bg 38.40° Vg 58.12km/s
mass 0.02762g, abs. mag 0.3
Path Details
------------
start -3.39° 50.22° 109.87km
end   -3.58° 49.94° 94.17km

Orbit Details
-------------
Semimajor axis 6.66A.U., eccentricity 0.86, inclination 112.73°, Period 17.20Y, LA Sun 141.02°, last Perihelion 2021-07-23

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: 2459440.367463002447
Time: 2021-08-13 20:49:08.803411 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003C and UK003J
 Convergence angle = 56.05921 deg
 R.A. =  47.73323  Dec = +58.52560 deg

Best intersection: Stations UK003C and UK003J with Qconv = 56.06 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    102033.74 +/- 18.64 m
 Y =  -4158047.90 +/- 50.52 m
 Z =   4963062.46 +/- 34.27 m
 Vx =    20588.00 +/- 62.30 m/s
 Vy =    22862.64 +/- 135.96 m/s
 Vz =    50541.25 +/- 95.66 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.975450e+02, +3.939077e+02, +3.834426e+02, +5.811590e+02, +3.602363e+02, -8.661515e+00
+3.939077e+02, +2.929517e+03, +2.811728e+02, +7.047843e+02, +6.970470e+03, -3.201773e+02
+3.834426e+02, +2.811728e+02, +1.252085e+03, -2.821355e+02, -5.023044e+02, +1.310227e+02
+5.811590e+02, +7.047843e+02, -2.821355e+02, +2.501556e+03, +7.480233e+02, -1.915481e+02
+3.602363e+02, +6.970470e+03, -5.023044e+02, +7.480233e+02, +1.998984e+04, -6.884281e+02
-8.661515e+00, -3.201773e+02, +1.310227e+02, -1.915481e+02, -6.884281e+02, +1.726581e+02

Timing offsets (from input data):
    UK003C: -0.000022 s
    UK003J: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 20:49:08.803411 UTC
  Lon     = +-3.386051 +/- 0.0003 deg
  Lat     = +50.221412 +/- 0.0004 deg
  Lat geo = +50.035275 +/- 0.0004 deg
  Ht      =  109873.38 +/- 39.75 m

  JD dynamic   = 2459440.368263743352 
  LST apparent = 271.4056907788 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.99670 +/- 0.1711 deg
  Dec       = +58.66959 +/- 0.0932 deg
  Azimuth   =  23.12247 +/- 0.0574 deg
  Elevation = +24.50487 +/- 0.1177 deg
  Vavg      =  58.49242 +/- 0.0157 km/s
  Vinit     =  59.16911 +/- 0.0532 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.58913 +/- 0.1711 deg
  Dec       = +58.49686 +/- 0.0932 deg
  Azimuth   =  23.41865 +/- 0.0574 deg
  Elevation = +24.45683 +/- 0.1177 deg
  Vavg      =  58.60147 +/- 0.0157 km/s
  Vinit     =  59.27817 +/- 0.0532 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.18187 +/- 0.1678 deg
  Dec    = +58.00935 +/- 0.0938 deg
  Vg     =  58.11950 +/- 0.0541 km/s
  Vinf   =  59.16911 +/- 0.0532 km/s
  Zc     =  65.66633 +/- 0.1178 deg
  Zg     =  66.32804 +/- 0.1181 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.20987 +/- 0.0803 deg
  Bg     = +38.39757 +/- 0.1131 deg
  Vh     =  40.22750 +/- 0.0120 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.61319 +/- 0.1498 deg
  Bh     = +63.81516 +/- 0.1904 deg
  Vh_x   =  -2.28221 +/- 0.0467 km/s
  Vh_y   = -17.60380 +/- 0.1208 km/s
  Vh_z   = -36.09916 +/- 0.0588 km/s
Orbit:
  La Sun = 141.021523 +/- 0.0000 deg
  a      =   6.664158 +/- 0.0481 AU
  e      =   0.856784 +/- 0.0011
  i      = 112.726354 +/- 0.1697 deg
  peri   = 150.984893 +/- 0.2482 deg
  node   = 141.019407 +/- 0.0000 deg
  Pi     = 292.004300 +/- 0.2482 deg
  q      =   0.954413 +/- 0.0010 AU
  f      =  29.010975 +/- 0.2482 deg
  M      =   1.201310 +/- 0.0158 deg
  Q      =  12.373902 +/- 0.0963 AU
  n      =   0.057291 +/- 0.0006 deg/day
  T      =  17.203568 +/- 0.1858 years
  Last perihelion JD = 2459419.399694 (2021-07-23 21:35:33.591083) +/- 0.1593 days
  Tj     =   0.330057 +/- 0.0070
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.195096e-06, -3.547180e-07, -4.165593e-05, -7.870613e-11, -1.332888e-06, +1.004729e-06
q   , -3.547180e-07, +1.135116e-06, +1.782696e-04, +1.932283e-10, +4.863850e-06, -2.465584e-06
Tp  , -4.165593e-05, +1.782696e-04, +2.818131e-02, +3.008102e-08, +7.663299e-04, -3.838314e-04
node, -7.870613e-11, +1.932283e-10, +3.008102e-08, +5.873041e-14, +8.242449e-10, -7.494121e-10
peri, -1.332888e-06, +4.863850e-06, +7.663299e-04, +8.242449e-10, +2.087413e-05, -1.051734e-05
i   , +1.004729e-06, -2.465584e-06, -3.838314e-04, -7.494121e-10, -1.051734e-05, +9.562699e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 31.935501

Mean time residuals from time vs. length:
  Station with reference time: UK003J
  Avg. res. = 2.323e-06 s
  Stddev    = 1.52e-03 s

Begin point on the trajectory:
  Lon =    -3.386063 +/- 0.0002 deg
  Lat =    50.221393 +/- 0.0004 deg
  Ht  = 109872.32 +/- 32.13 m
End point on the trajectory:
  Lon =    -3.575627 +/- 0.0003 deg
  Lat =    49.938869 +/- 0.0001 deg
  Ht  = 94165.28 +/- 38.97 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
    UK003C,   False,    -4.949858,    50.224871,   55.00,   0.000000,  40.945001,   106694.04,    94165.28,          0.013166,     32.16,     10.77,              57.57, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20210813_204908_302_0046848.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   109872.32,    96151.22,          0.013274,     11.92,     43.64,             118.12, 1.0000,    True,    True, {"ff_name": "FF_UK003J_20210813_204908_512_0052992.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,     UK003C,       1,  0.052974, 2459440.367463615257, 327.93177,  31.69245,               90.75828,  43.75056,        90.75723,       43.74038,    327.93177,     +31.69245,     327.94157,      +31.68630,   101091.33, -4159094.43,  4960748.96,      50.201377,       -3.399600,  108750.44,  155799.97,       0.00,             2708.44,  -224.04,      0.00,           60716.33,     -8.81,     26.32,          36.75,  +3.14,  +2.18
  1,     UK003C,       1,  0.093022, 2459440.367464079056, 327.37229,  31.09612,               91.81435,  43.71351,        91.81057,       43.68203,    327.37229,     +31.09612,     327.40224,      +31.07722,   100249.22, -4160029.59,  4958681.66,      50.183467,       -3.411672,  107747.77,  154534.21,    2420.21,             5128.65,  -173.43,  60432.79,           60716.33,    -27.08,     80.79,         113.73,  +3.51,  +2.56
  2,     UK003C,       0,  0.133110, 2459440.367464542855, 326.81884,  30.43218,               92.93653,  43.62359,        92.93447,       43.60880,    326.81884,     +30.43218,     326.83326,      +30.42336,    99363.54, -4161013.12,  4956507.42,      50.164623,       -3.424354,  106694.04,  153233.53,    4965.61,             7674.05,    -0.00,  63495.36,           60716.33,    -12.62,     37.69,          53.50,  +1.67,  +0.74
  3,     UK003C,       0,  0.173202, 2459440.367465006653, 326.32669,  29.81581,               93.96094,  43.52217,        93.96252,       43.53231,    326.32669,     +29.81581,     326.31793,      +29.82183,    98564.27, -4161900.69,  4954545.30,      50.147611,       -3.435810,  105743.80,  152086.03,    7262.68,             9971.12,   -75.14,  57294.85,           60716.33,      8.59,    -25.68,          36.72,  +1.17,  +0.26
  4,     UK003C,       0,  0.213290, 2459440.367465470918, 325.83336,  29.20263,               94.98267,  43.41966,        94.98736,       43.44672,    325.83336,     +29.20263,     325.80895,      +29.21863,    97777.10, -4162774.83,  4952612.88,      50.130851,       -3.447091,  104808.59,  150981.50,    9524.98,            12233.42,  -184.81,  56433.48,           59609.93,     22.77,    -68.16,          98.17,  +0.60,  -0.29
  5,     UK003C,       0,  0.253362, 2459440.367465934716, 325.22957,  28.50071,               96.18419,  43.32213,        96.18650,       43.33409,    325.22957,     +28.50071,     325.21946,      +28.50775,    96867.22, -4163785.24,  4950379.24,      50.111470,       -3.460098,  103728.40,  149738.76,   12139.93,            14848.37,    59.11,  65256.22,           60100.34,     10.01,    -29.94,          43.49,  +0.43,  -0.45
  6,     UK003C,       0,  0.293418, 2459440.367466398049, 324.66895,  27.86183,               97.28722,  43.23549,        97.28394,       43.21995,    324.66895,     +27.86183,     324.68468,      +27.85272,    96044.38, -4164698.99,  4948359.25,      50.093937,       -3.471872,  102752.27,  148644.85,   14504.75,            17213.19,    53.85,  59037.82,           60161.71,    -12.97,     38.69,          56.62,  +0.18,  -0.68
  7,     UK003C,       0,  0.333522, 2459440.367466862313, 324.15185,  27.18140,               98.39363,  43.08729,        98.39499,       43.09322,    324.15185,     +27.18140,     324.14771,      +27.18487,    95220.10, -4165614.34,  4946335.73,      50.076367,       -3.483662,  101775.14,  147579.02,   16873.70,            19582.14,    49.88,  59070.15,           60096.27,      4.92,    -14.71,          21.68,  -0.08,  -0.93
  8,     UK003C,       0,  0.373610, 2459440.367467326578, 323.63403,  26.52536,               99.47528,  42.95151,        99.47714,       42.95904,    323.63403,     +26.52536,     323.62858,      +26.52973,    94425.06, -4166497.21,  4944384.01,      50.059413,       -3.495034,  100833.33,  146579.75,   19158.61,            21867.04,   -37.18,  56997.25,           59859.08,      6.21,    -18.55,          27.53,  -0.16,  -0.99
  9,     UK003C,       0,  0.413702, 2459440.367467790376, 323.07757,  25.81766,              100.63850,  42.79797,       100.63972,       42.80258,    323.07757,     +25.81766,     323.07501,      +25.82033,    93578.64, -4167437.15,  4942306.13,      50.041357,       -3.507125,   99831.38,  145548.48,   21591.19,            24299.63,    23.20,  60675.11,           59782.86,      3.79,    -11.31,          16.91,  -0.21,  -1.03
 10,     UK003C,       0,  0.453778, 2459440.367468254175, 322.53280,  25.13646,              101.76434,  42.65020,       101.76140,       42.63982,    322.53280,     +25.13646,     322.54435,      +25.13047,    92768.93, -4168336.32,  4940318.40,      50.024078,       -3.518694,   98873.58,  144593.11,   23918.25,            26626.69,   -21.01,  58066.13,           59663.26,     -8.50,     25.36,          38.15,  -0.32,  -1.12
 11,     UK003C,       0,  0.493886, 2459440.367468718439, 321.99982,  24.42027,              102.91017,  42.46382,       102.90930,       42.46093,    321.99982,     +24.42027,     322.00457,      +24.41861,    91946.57, -4169249.54,  4938299.57,      50.006523,       -3.530437,   97901.50,  143655.15,   26281.71,            28990.14,   -30.70,  58927.33,           59565.94,     -2.36,      7.04,          10.65,  -0.33,  -1.12
 12,     UK003C,       0,  0.533982, 2459440.367469182704, 321.44574,  23.69335,              104.08180,  42.27639,       104.07840,       42.26580,    321.44574,     +23.69335,     321.45783,      +23.68727,    91114.77, -4170173.24,  4936257.61,      49.988759,       -3.542307,   96919.00,  142740.21,   28672.26,            31380.69,   -12.60,  59620.64,           59508.93,     -8.62,     25.70,          39.18,  -0.40,  -1.17
 13,     UK003C,       0,  0.574082, 2459440.367469646502, 320.90990,  22.96874,              105.23128,  42.07281,       105.22738,       42.06128,    320.90990,     +22.96874,     320.92303,      +22.96213,    90302.29, -4171075.49,  4934263.06,      49.971402,       -3.553900,   95959.99,  141879.64,   31007.30,            33715.73,   -50.24,  58230.43,           59436.55,     -9.36,     27.91,          42.80,  -0.33,  -1.09
 14,     UK003C,       0,  0.614182, 2459440.367470110767, 320.36189,  22.23071,              106.40022,  41.86010,       106.39326,       41.84057,    320.36189,     +22.23071,     320.38264,      +22.21954,    89482.16, -4171986.23,  4932249.74,      49.953875,       -3.565597,   94992.66,  141045.06,   33364.31,            36072.75,   -65.91,  58778.35,           59373.04,    -15.83,     47.15,          72.73,  -0.22,  -0.97
 15,     UK003C,       0,  0.654290, 2459440.367470575031, 319.90961,  21.58010,              107.39832,  41.64805,       107.39556,       41.64064,    319.90961,     +21.58010,     319.91925,      +21.57587,    88780.25, -4172765.69,  4930526.62,      49.938869,       -3.575627,   94165.28,  140357.13,   35381.58,            38090.02,  -421.79,  50295.97,           59130.19,     -5.99,     17.85,          27.67,  +0.57,  -0.17
  0,     UK003J,       0,  0.000000, 2459440.367463002447, 248.87109,   1.29885,              209.64062,  36.15677,       209.63083,       36.15759,    248.87109,      +1.29885,     248.87886,       +1.29719,   102032.85, -4158048.89,  4963060.28,      50.221393,       -3.386063,  109872.32,  183083.83,       0.00,                2.55,   204.49,      0.00,           57491.82,    -24.49,      6.69,          28.61,  +3.50,  +2.19
  1,     UK003J,       0,  0.040572, 2459440.367463471834, 248.72908,   0.64197,              209.55731,  35.48812,       209.55031,       35.48871,    248.72908,      +0.64197,     248.73484,       +0.64077,   101183.82, -4158991.72,  4960976.00,      50.203343,       -3.398241,  108860.60,  184239.16,    2440.09,             2442.64,   243.97,  60142.16,           57491.82,    -17.75,      4.85,          20.61,  +3.33,  +2.00
  2,     UK003J,       0,  0.081104, 2459440.367463941220, 248.58506,   0.03799,              209.49755,  34.86913,       209.47740,       34.87082,    248.58506,      +0.03799,     248.60164,       +0.03451,   100389.98, -4159873.26,  4959027.23,      50.186461,       -3.409633,  107915.33,  185342.33,    4721.54,             4724.09,   127.18,  56287.58,           57491.82,    -51.86,     14.15,          59.82,  +2.55,  +1.21
  3,     UK003J,       0,  0.121628, 2459440.367464410141, 248.45393,  -0.56277,              209.42504,  34.25714,       209.40623,       34.25871,    248.45393,      -0.56277,     248.46972,       -0.56604,    99594.11, -4160757.07,  4957073.44,      50.169529,       -3.421049,  106968.28,  186469.89,    7008.85,             7011.40,    16.72,  56443.49,           57491.82,    -49.05,     13.39,          56.25,  +2.11,  +0.76
  4,     UK003J,       0,  0.162132, 2459440.367464879062, 248.32936,  -1.14151,              209.35415,  33.66807,       209.33880,       33.66935,    248.32936,      -1.14151,     248.34259,       -1.14420,    98818.61, -4161618.25,  4955169.67,      50.153025,       -3.432173,  106046.10,  187589.10,    9237.61,             9240.16,  -151.10,  55025.72,           56854.10,    -40.56,     11.07,          46.23,  +1.79,  +0.42
  5,     UK003J,       0,  0.202708, 2459440.367465348449, 248.19366,  -1.81108,              209.26370,  32.98909,       209.26145,       32.98928,    248.19366,      -1.81108,     248.19636,       -1.81148,    97911.81, -4162625.24,  4952943.58,      50.133719,       -3.445145,  104968.59,  188922.06,   11843.72,            11846.27,    54.16,  64227.79,           57726.32,     -6.04,      1.65,           6.83,  +1.74,  +0.36
  6,     UK003J,       0,  0.243208, 2459440.367465817370, 248.07128,  -2.38932,              209.19246,  32.40111,       209.19597,       32.40082,    248.07128,      -2.38932,     248.06938,       -2.38869,    97116.81, -4163508.07,  4950991.96,      50.116788,       -3.456535,  104024.62,  190113.05,   14128.50,            14131.05,   -57.41,  56414.36,           57897.28,      9.54,     -2.61,          10.73,  +1.86,  +0.46
  7,     UK003J,       0,  0.283752, 2459440.367466286756, 247.93720,  -3.01558,              209.11793,  31.76381,       209.12560,       31.76317,    247.93720,      -3.01558,     247.93197,       -3.01421,    96243.80, -4164477.54,  4948848.80,      50.098187,       -3.469020,  102988.78,  191443.45,   16637.52,            16640.07,    52.65,  61883.74,           58300.83,     21.13,     -5.77,          23.60,  +1.37,  -0.04
  8,     UK003J,       0,  0.324236, 2459440.367466755211, 247.80338,  -3.57374,              209.06813,  31.19146,       209.06372,       31.19183,    247.80338,      -3.57374,     247.80845,       -3.57453,    95451.20, -4165357.71,  4946903.05,      50.081293,       -3.480365,  102049.01,  192672.17,   18915.42,            18917.97,   -64.84,  56266.80,           58353.71,    -12.28,      3.35,          13.63,  +1.38,  -0.04
  9,     UK003J,       0,  0.364752, 2459440.367467224132, 247.67094,  -4.17120,              209.00335,  30.58209,       208.99825,       30.58252,    247.67094,      -4.17120,     247.67679,       -4.17212,    94594.49, -4166309.07,  4944799.93,      50.063027,       -3.492609,  101033.98,  194021.32,   21377.56,            21380.11,     0.00,  60769.62,           58512.35,    -14.43,      3.94,          15.90,  +1.20,  -0.24
 10,     UK003J,       0,  0.405236, 2459440.367467692588, 247.56324,  -4.73961,              208.92220,  30.00789,       208.93728,       30.00663,    247.56324,      -4.73961,     247.55206,       -4.73685,    93773.67, -4167220.58,  4942784.91,      50.045518,       -3.504343,  100062.18,  195334.62,   23736.57,            23739.12,   -36.39,  58270.06,           58587.90,     43.15,    -11.78,          47.24,  +1.22,  -0.23
 11,     UK003J,       0,  0.445744, 2459440.367468161508, 247.43899,  -5.33175,              208.85157,  29.40607,       208.87404,       29.40419,    247.43899,      -5.33175,     247.42155,       -5.32762,    92902.91, -4168187.54,  4940647.30,      50.026938,       -3.516774,   99032.02,  196748.97,   26239.09,            26241.64,    69.31,  61778.51,           58754.14,     65.13,    -17.79,          70.78,  +1.15,  -0.32
 12,     UK003J,       0,  0.486216, 2459440.367468629964, 247.30064,  -5.87282,              208.81440,  28.84870,       208.81660,       28.84851,    247.30064,      -5.87282,     247.30076,       -5.87241,    92088.52, -4169091.90,  4938648.07,      50.009554,       -3.528407,   98069.26,  198091.63,   28579.61,            28582.16,    15.13,  57830.52,           58824.23,      6.48,     -1.77,           6.99,  +1.10,  -0.38
 13,     UK003J,       0,  0.526680, 2459440.367469098419, 247.18209,  -6.41795,              208.75461,  28.29345,       208.75975,       28.29302,    247.18209,      -6.41795,     247.17982,       -6.41699,    91263.15, -4170008.46,  4936621.88,      49.991929,       -3.540189,   97094.21,  199471.23,   30951.69,            30954.24,    -7.01,  58621.97,           58862.52,     15.28,     -4.17,          16.38,  +1.42,  -0.08
 14,     UK003J,       0,  0.567120, 2459440.367469566409, 247.09561,  -6.94412,              208.66734,  27.76591,       208.70615,       27.76267,    247.09561,      -6.94412,     247.06403,       -6.93684,    90464.35, -4170895.52,  4934660.90,      49.974865,       -3.551593,   96151.22,  200824.33,   33247.42,            33249.97,  -104.07,  56768.92,           58835.19,    116.60,    -31.87,         124.15,  +1.70,  +0.19

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.