Orbital Analysis for matched events on 20210810_013826.203_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.73° Bg 35.73° Vg 58.26km/s
mass 0.04260g, abs. mag -1.1
Path Details
------------
start -3.31° 51.37° 110.74km
end   -3.44° 51.31° 97.75km

Orbit Details
-------------
Semimajor axis 4.62A.U., eccentricity 0.80, inclination 115.77°, Period 9.93Y, LA Sun 137.37°, last Perihelion 2021-07-14

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: 2459436.568358841352
Time: 2021-08-10 01:38:26.203893 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK0020
 Convergence angle = 54.72703 deg
 R.A. =  47.47353  Dec = +55.36544 deg
Intersection 2 - Stations: UK0006 and UK003H
 Convergence angle = 9.78291 deg
 R.A. =  45.98703  Dec = +55.85858 deg
Intersection 3 - Stations: UK0020 and UK003H
 Convergence angle = 44.94575 deg
 R.A. =  47.50376  Dec = +55.13190 deg

Best intersection: Stations UK0006 and UK0020 with Qconv = 54.73 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3816154.52 +/- 35.61 m
 Y =  -1384508.29 +/- 22.85 m
 Z =   5045466.29 +/- 86.13 m
 Vx =    22747.26 +/- 117.58 m/s
 Vy =    24915.70 +/- 248.30 m/s
 Vz =    48772.10 +/- 223.10 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.414718e+03, +3.822124e+02, +3.241523e+03, +2.864005e+03, -3.710381e+03, +7.246367e+03
+3.822124e+02, +5.828195e+02, +1.160309e+03, -8.895612e+01, -2.455620e+02, +8.457579e+02
+3.241523e+03, +1.160309e+03, +8.271351e+03, +5.081050e+03, -8.453331e+03, +1.626197e+04
+2.864005e+03, -8.895612e+01, +5.081050e+03, +9.857300e+03, -7.996939e+03, +1.704153e+04
-3.710381e+03, -2.455620e+02, -8.453331e+03, -7.996939e+03, +1.460052e+04, -2.434179e+04
+7.246367e+03, +8.457579e+02, +1.626197e+04, +1.704153e+04, -2.434179e+04, +5.135890e+04

Timing offsets (from input data):
    UK0006: 0.000614 s
    UK0020: 0.000000 s
    UK003H: 0.000500 s

Reference point on the trajectory:
  Time: 2021-08-10 01:38:26.203893 UTC
  Lon     = +-3.310627 +/- 0.0004 deg
  Lat     = +51.364728 +/- 0.0003 deg
  Lat geo = +51.180107 +/- 0.0003 deg
  Ht      =  110667.29 +/- 85.27 m

  JD dynamic   = 2459436.569159582257 
  LST apparent = 340.0591299101 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.60489 +/- 0.2340 deg
  Dec       = +55.32680 +/- 0.1490 deg
  Azimuth   =  56.82294 +/- 0.1575 deg
  Elevation = +51.08510 +/- 0.1734 deg
  Vavg      =  58.84675 +/- 0.1191 km/s
  Vinit     =  59.30386 +/- 0.1653 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.79536 +/- 0.2340 deg
  Dec       = +55.10984 +/- 0.1490 deg
  Azimuth   =  57.07044 +/- 0.1575 deg
  Elevation = +50.89907 +/- 0.1734 deg
  Vavg      =  59.00293 +/- 0.1191 km/s
  Vinit     =  59.46003 +/- 0.1653 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.78258 +/- 0.2368 deg
  Dec    = +55.10341 +/- 0.1516 deg
  Vg     =  58.25674 +/- 0.1682 km/s
  Vinf   =  59.30386 +/- 0.1653 km/s
  Zc     =  39.01619 +/- 0.1731 deg
  Zg     =  39.37779 +/- 0.1767 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.73432 +/- 0.1094 deg
  Bg     = +35.73164 +/- 0.1824 deg
  Vh     =  39.47378 +/- 0.2118 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.24315 +/- 0.2737 deg
  Bh     = +59.53055 +/- 0.1886 deg
  Vh_x   =  -2.70159 +/- 0.0956 km/s
  Vh_y   = -19.83317 +/- 0.0482 km/s
  Vh_z   = -34.02243 +/- 0.2449 km/s
Orbit:
  La Sun = 137.374721 +/- -0.0000 deg
  a      =   4.619618 +/- 0.6609 AU
  e      =   0.801308 +/- 0.0171
  i      = 115.766601 +/- 0.1295 deg
  peri   = 141.943558 +/- 0.8366 deg
  node   = 137.374203 +/- 0.0000 deg
  Pi     = 279.317761 +/- 0.8366 deg
  q      =   0.917883 +/- 0.0030 AU
  f      =  38.052546 +/- 0.8366 deg
  M      =   2.686871 +/- 0.3484 deg
  Q      =   8.321353 +/- 1.3189 AU
  n      =   0.099265 +/- 0.0118 deg/day
  T      =   9.929097 +/- 2.4309 years
  Last perihelion JD = 2459409.501425 (2021-07-14 00:02:03.085633) +/- 0.6422 days
  Tj     =   0.636515 +/- 0.1006
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.188897e-04, +5.382448e-05, +1.177259e-02, +2.251007e-09, +2.648427e-04, -2.983419e-05
q   , +5.382448e-05, +9.873514e-06, +2.085975e-03, +3.615955e-10, +4.758444e-05, -4.792932e-06
Tp  , +1.177259e-02, +2.085975e-03, +4.470618e-01, +8.020758e-08, +1.013942e-02, -1.063095e-03
node, +2.251007e-09, +3.615955e-10, +8.020758e-08, +3.020288e-14, +1.794190e-09, -4.002661e-10
peri, +2.648427e-04, +4.758444e-05, +1.013942e-02, +1.794190e-09, +2.304992e-04, -2.378118e-05
i   , -2.983419e-05, -4.792932e-06, -1.063095e-03, -4.002661e-10, -2.378118e-05, +5.304575e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000000
 a2 = 110.078000

Mean time residuals from time vs. length:
  Station with reference time: UK0020
  Avg. res. = 4.117e-07 s
  Stddev    = 6.42e-04 s

Begin point on the trajectory:
  Lon =    -3.309949 +/- 0.0001 deg
  Lat =    51.365005 +/- 0.0002 deg
  Ht  = 110738.36 +/- 61.68 m
End point on the trajectory:
  Lon =    -3.435206 +/- 0.0001 deg
  Lat =    51.314103 +/- 0.0002 deg
  Ht  = 97747.45 +/- 52.77 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,   0.000000,   108819.35,    99473.57,          0.006766,     15.35,     16.07,              91.47, 0.9993,    True,    True, {"ff_name": "FF_UK0006_20210810_013818_031_0462336.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,   0.000000,   0.000000,   110738.36,    97747.45,          0.014131,      6.54,     31.05,              27.06, 0.2069,    True,    True, {"ff_name": "FF_UK0020_20210810_013818_619_0471296.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   108978.15,    97882.75,          0.012807,     15.67,     23.19,              65.79, 0.8319,   False,    True, {"ff_name": "FF_UK003H_20210810_013827_195_0475136.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,  0.037553, 2459436.568359187339, 289.88722,  15.01417,              248.13973,  34.70988,       248.13184,       34.71058,    289.88722,     +15.01417,     289.89318,      +15.01089,  3815243.48, -1385506.18,  5043512.94,      51.357511,       -3.328379,  108819.35,  187748.62,       0.00,             2375.16,    55.88,      0.00,           58176.57,    -15.46,     14.77,          23.49,  +1.93,  +0.56
  1,     UK0006,       0,  0.078233, 2459436.568359658122, 289.50387,  14.38741,              248.05217,  33.98525,       248.04043,       33.98628,    289.50387,     +14.38741,     289.51291,      +14.38249,  3814329.06, -1386507.76,  5041552.35,      51.350261,       -3.346246,  106964.90,  187874.06,    2383.96,             4759.12,    27.35,  58602.66,           58176.57,    -23.21,     22.17,          35.24,  +0.73,  -0.64
  2,     UK0006,       0,  0.118885, 2459436.568360128440, 289.15390,  13.77692,              247.94868,  33.29206,       247.95430,       33.29157,    289.15390,     +13.77692,     289.15015,      +13.77929,  3813450.87, -1387469.67,  5039669.44,      51.343292,       -3.363416,  105184.23,  188023.40,    4673.46,             7048.62,   -93.96,  56319.55,           58176.57,     11.22,    -10.72,          17.02,  +0.38,  -0.99
  3,     UK0006,       0,  0.159573, 2459436.568360599689, 288.75918,  13.13713,              247.87031,  32.54885,       247.86366,       32.54943,    288.75918,     +13.13713,     288.76482,      +13.13432,  3812510.97, -1388499.17,  5037654.21,      51.335825,       -3.381785,  103278.77,  188213.49,    7123.85,             9499.01,   -56.52,  60224.04,           58176.57,    -13.37,     12.77,          20.27,  +0.17,  -1.20
  4,     UK0006,       0,  0.200317, 2459436.568361070938, 288.35008,  12.43862,              247.76851,  31.74906,       247.76744,       31.74916,    288.35008,     +12.43862,     288.35169,      +12.43816,  3811495.01, -1389611.97,  5035475.90,      51.327747,       -3.401633,  101219.52,  188454.00,    9772.54,            12147.70,   175.88,  65007.88,           59688.22,     -2.17,      2.07,           3.28,  +0.36,  -1.02
  5,     UK0006,       0,  0.240945, 2459436.568361541256, 288.01067,  11.84424,              247.67713,  31.07282,       247.68760,       31.07190,    288.01067,     +11.84424,     288.00365,      +11.84873,  3810633.47, -1390555.64,  5033628.68,      51.320890,       -3.418494,   99473.57,  188688.37,   12018.64,            14393.80,    12.59,  55284.65,           59491.46,     21.48,    -20.52,          32.47,  +0.13,  -1.25
  0,     UK0020,       0,  0.000000, 2459436.568358841352,  32.93778,  82.23448,               10.82669,  54.89199,        10.83309,       54.87095,     32.93778,     +82.23448,      33.08793,      +82.24118,  3816189.56, -1384469.91,  5045541.42,      51.365005,       -3.309949,  110738.36,  134812.09,       0.00,               91.35,    -0.89,      0.00,           60680.55,     49.18,     10.32,          76.88,  +2.66,  +2.01
  1,     UK0020,       0,  0.040332, 2459436.568359307945,  31.72364,  82.72903,                9.94259,  54.78902,         9.94569,       54.77953,     31.72364,     +82.72903,      31.79578,      +82.73226,  3815191.98, -1385562.59,  5043402.52,      51.357103,       -3.329419,  108714.90,  132503.56,    2600.77,             2509.42,    25.34,  64483.97,           60680.55,     21.86,      4.60,          34.78,  +2.04,  +1.43
  2,     UK0020,       0,  0.080632, 2459436.568359774537,  30.50699,  83.17625,                9.14589,  54.68558,         9.14394,       54.69119,     30.50699,     +83.17625,      30.46224,      +83.17422,  3814316.90, -1386521.08,  5041526.27,      51.350164,       -3.346523,  106940.24,  130487.61,    4882.17,             4790.82,   -83.20,  56610.42,           60680.55,    -12.77,     -2.69,          20.62,  +1.22,  +0.64
  3,     UK0020,       0,  0.120972, 2459436.568360241596,  28.80466,  83.67530,                8.24045,  54.57471,         8.23695,       54.58421,     28.80466,     +83.67530,      28.72374,      +83.67159,  3813352.94, -1387576.94,  5039459.45,      51.342514,       -3.365353,  104985.67,  128277.55,    7395.29,             7303.95,    37.61,  62298.61,           60680.55,    -21.27,     -4.48,          34.95,  +1.06,  +0.52
  4,     UK0020,       0,  0.161292, 2459436.568360708188,  27.06177,  84.13800,                7.40725,  54.45499,         7.39794,       54.47884,     27.06177,     +84.13800,      26.84426,      +84.12796,  3812486.28, -1388526.21,  5037601.26,      51.335629,       -3.382303,  103228.72,  126300.36,    9654.74,             9563.39,   -94.08,  56037.79,           59778.28,    -52.75,    -11.14,          88.04,  +0.84,  +0.33
  5,     UK0020,       0,  0.201660, 2459436.568361175247,  24.31237,  84.66826,                6.40863,  54.33301,         6.40350,       54.34540,     24.31237,     +84.66826,      24.19105,      +84.66249,  3811485.84, -1389622.03,  5035456.23,      51.327674,       -3.401848,  101200.92,  124030.35,   12262.97,            12171.62,   120.17,  64611.36,           60211.75,    -26.99,     -5.69,          45.87,  +0.71,  +0.24
  6,     UK0020,       0,  0.242012, 2459436.568361642305,  21.23450,  85.16361,                5.46748,  54.20082,         5.46304,       54.21097,     21.23450,     +85.16361,      21.12795,      +85.15837,  3810567.01, -1390628.44,  5033486.19,      51.320360,       -3.419818,   99338.90,  121957.62,   14658.41,            14567.07,   122.59,  59363.68,           60275.56,    -21.82,     -4.60,          37.72,  +0.92,  +0.49
  7,     UK0020,       0,  0.282328, 2459436.568362108897,  17.93272,  85.58638,                4.64041,  54.07953,         4.63727,       54.08641,     17.93272,     +85.58638,      17.85656,      +85.58247,  3809781.58, -1391488.74,  5031802.15,      51.314103,       -3.435206,   97747.45,  120195.40,   16706.10,            16614.75,  -220.62,  50790.84,           59512.09,    -14.62,     -3.08,          25.64,  +2.16,  +1.76
  0,     UK003H,       0,  0.035486, 2459436.568359083496, 296.22641,  41.64399,              270.05223,  58.24874,       270.05924,       58.24728,    296.22641,     +41.64399,     296.22215,      +41.64627,  3815321.77, -1385420.42,  5043680.81,      51.358132,       -3.326826,  108978.15,  127556.67,       0.00,             2171.04,   -25.67,      0.00,           59476.55,      7.32,     -4.94,          14.28,  +1.74,  +1.21
  1,     UK003H,       0,  0.076278, 2459436.568359555211, 295.46252,  40.79824,              269.33620,  57.30024,       269.36795,       57.29368,    295.46252,     +40.79824,     295.44281,      +40.80868,  3814383.94, -1386447.65,  5041670.01,      51.350696,       -3.345146,  107076.19,  126625.78,    2445.00,             4616.04,     0.21,  59938.27,           59476.55,     33.64,    -22.74,          66.13,  +0.92,  +0.41
  2,     UK003H,       0,  0.117050, 2459436.568360027391, 294.72694,  39.98154,              268.69891,  56.37322,       268.73183,       56.36644,    294.72694,     +39.98154,     294.70635,      +39.99246,  3813488.31, -1387428.66,  5039749.70,      51.343589,       -3.362655,  105260.13,  125775.23,    4779.98,             6951.02,   -82.75,  57269.16,           59476.55,     35.38,    -23.91,          70.03,  +0.59,  +0.09
  3,     UK003H,       0,  0.157906, 2459436.568360500038, 293.92865,  39.08431,              268.04934,  55.34794,       268.06752,       55.34421,    293.92865,     +39.08431,     293.91747,      +39.09040,  3812517.46, -1388492.07,  5037668.11,      51.335877,       -3.381624,  103291.92,  124895.72,    7311.07,             9482.11,    25.43,  61951.52,           59476.55,     19.84,    -13.41,          39.55,  +0.34,  -0.14
  4,     UK003H,       0,  0.198762, 2459436.568360973150, 293.15514,  38.19442,              267.44600,  54.32999,       267.44388,       54.33043,    293.15514,     +38.19442,     293.15730,      +38.19370,  3811570.84, -1389528.92,  5035638.49,      51.328350,       -3.400129,  101373.20,  124082.29,    9778.96,            11950.00,    70.40,  60404.65,           59836.64,     -2.35,      1.59,           4.71,  +0.32,  -0.15
  5,     UK003H,       0,  0.239610, 2459436.568361445796, 292.42516,  37.29460,              266.84481,  53.32156,       266.85385,       53.31971,    292.42516,     +37.29460,     292.42007,      +37.29769,  3810641.82, -1390546.50,  5033646.58,      51.320956,       -3.418297,   99490.48,  123327.14,   12201.00,            14372.04,    70.00,  59293.95,           59861.83,     10.18,     -6.88,          20.55,  +0.40,  -0.06
  6,     UK003H,       0,  0.280346, 2459436.568361917511, 291.81268,  36.51131,              266.34135,  52.44913,       266.36651,       52.44400,    291.81268,     +36.51131,     291.79680,      +36.51996,  3809848.36, -1391415.60,  5031945.34,      51.314635,       -3.433843,   97882.75,  122717.58,   14269.61,            16440.65,  -277.20,  50780.72,           58900.11,     28.69,    -19.39,          58.21,  +1.57,  +1.13

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.