Orbital Analysis for matched events on 20210810_003914.634_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.53° Bg 38.62° Vg 57.98km/s
mass 0.02812g, abs. mag -1.3
Path Details
------------
start -0.88° 52.72° 108.90km
end   -0.98° 52.67° 99.22km

Orbit Details
-------------
Semimajor axis 7.87A.U., eccentricity 0.88, inclination 111.88°, Period 22.09Y, LA Sun 137.34°, last Perihelion 2021-07-17

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: 2459436.527252713218
Time: 2021-08-10 00:39:14.634422 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002F
 Convergence angle = 0.49734 deg
 R.A. = 279.63742  Dec = -81.91325 deg
Intersection 2 - Stations: UK001L and UK002Z
 Convergence angle = 83.76531 deg
 R.A. =  45.62817  Dec = +58.03122 deg
Intersection 3 - Stations: UK002F and UK002Z
 Convergence angle = 83.32588 deg
 R.A. =  45.18921  Dec = +58.06243 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 83.77 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3326568.75 +/- 56.59 m
 Y =  -2107219.56 +/- 80.76 m
 Z =   5138049.26 +/- 172.15 m
 Vx =    21920.14 +/- 1544.05 m/s
 Vy =    22283.67 +/- 1313.55 m/s
 Vz =    50075.45 +/- 2407.70 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.682722e+03, +2.054280e+03, +8.498579e+03, +4.838278e+03, -1.081077e+04, +1.348444e+03
+2.054280e+03, +4.168287e+03, +4.505323e+03, -4.548950e+03, +5.912339e+03, -6.843883e+03
+8.498579e+03, +4.505323e+03, +1.729176e+04, +1.342908e+04, -1.420079e+04, +3.425369e+04
+4.838278e+03, -4.548950e+03, +1.342908e+04, +5.208028e+04, -4.451226e+04, +1.048896e+05
-1.081077e+04, +5.912339e+03, -1.420079e+04, -4.451226e+04, +5.919385e+04, -5.086373e+04
+1.348444e+03, -6.843883e+03, +3.425369e+04, +1.048896e+05, -5.086373e+04, +3.567425e+05

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK001L: 0.000000 s
    UK002F: -0.000292 s
    UK002Z: 0.001084 s

Reference point on the trajectory:
  Time: 2021-08-10 00:39:14.634422 UTC
  Lon     = +-0.883306 +/- 0.0011 deg
  Lat     = +52.715835 +/- 0.0011 deg
  Lat geo = +52.533304 +/- 0.0011 deg
  Ht      =  108794.24 +/- 132.12 m

  JD dynamic   = 2459436.528053454123 
  LST apparent = 327.6477295478 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.47119 +/- 0.8713 deg
  Dec       = +58.02695 +/- 0.6951 deg
  Azimuth   =  50.61057 +/- 1.1020 deg
  Elevation = +47.95316 +/- 0.3744 deg
  Vavg      =  59.48937 +/- 1.3123 km/s
  Vinit     =  59.03055 +/- 2.4037 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  45.58122 +/- 0.8713 deg
  Dec       = +57.79637 +/- 0.6951 deg
  Azimuth   =  50.87318 +/- 1.1020 deg
  Elevation = +47.79331 +/- 0.3744 deg
  Vavg      =  59.63851 +/- 1.3123 km/s
  Vinit     =  59.17969 +/- 2.4037 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.71840 +/- 0.8480 deg
  Dec    = +57.75721 +/- 0.7115 deg
  Vg     =  57.97810 +/- 2.4429 km/s
  Vinf   =  59.03055 +/- 2.4037 km/s
  Zc     =  42.16286 +/- 0.3741 deg
  Zg     =  42.56019 +/- 0.3844 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.52847 +/- 0.7356 deg
  Bg     = +38.61549 +/- 0.6139 deg
  Vh     =  40.46646 +/- 2.5245 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.01937 +/- 0.7278 deg
  Bh     = +63.40463 +/- 0.7479 deg
  Vh_x   =  -1.88758 +/- 0.3135 km/s
  Vh_y   = -18.01770 +/- 1.5978 km/s
  Vh_z   = -36.18472 +/- 2.0278 km/s
Orbit:
  La Sun = 137.335284 +/- 0.0000 deg
  a      =   7.873898 +/- 14.8095 AU
  e      =   0.881082 +/- 0.2364
  i      = 111.875382 +/- 0.6238 deg
  peri   = 146.820776 +/- 2.6356 deg
  node   = 137.334696 +/- 0.0000 deg
  Pi     = 284.155473 +/- 2.6355 deg
  q      =   0.936347 +/- 0.0064 AU
  f      =  33.175291 +/- 2.6356 deg
  M      =   1.046793 +/- nan deg
  Q      =  14.811448 +/- 29.6196 AU
  n      =   0.044609 +/- 0.1543 deg/day
  T      =  22.094556 +/- 489897924.0196 years
  Last perihelion JD = 2459413.061939 (2021-07-17 13:29:11.550373) +/- 1.3069 days
  Tj     =   0.227438 +/- 1.3412
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.651706e-03, +2.598583e-04, +7.010311e-02, -1.071662e-09, +1.459980e-03, +1.444131e-05
q   , +2.598583e-04, +3.795611e-05, +8.626333e-03, +4.264752e-10, +1.920770e-04, -5.782004e-06
Tp  , +7.010311e-02, +8.626333e-03, +2.100842e+00, +4.446091e-08, +4.549534e-02, -6.038793e-04
node, -1.071662e-09, +4.264752e-10, +4.446091e-08, +3.818683e-14, +1.471256e-09, -5.169548e-10
peri, +1.459980e-03, +1.920770e-04, +4.549534e-02, +1.471256e-09, +9.961812e-04, -1.996093e-05
i   , +1.444131e-05, -5.782004e-06, -6.038793e-04, -5.169548e-10, -1.996093e-05, +6.998310e-06

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: UK001L
  Avg. res. = 3.061e-06 s
  Stddev    = 1.75e-03 s

Begin point on the trajectory:
  Lon =    -0.882227 +/- 0.0007 deg
  Lat =    52.716372 +/- 0.0011 deg
  Ht  = 108900.59 +/- 122.57 m
End point on the trajectory:
  Lon =    -0.981410 +/- 0.0009 deg
  Lat =    52.667265 +/- 0.0019 deg
  Ht  = 99216.83 +/- 225.19 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
    UK000S,    True,    -1.778230,    50.857470,   24.00, 92293.774011,   0.015646,   106431.11,   101281.01,          0.090514,       nan,       nan,              32.82, 0.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_003910_938_0391168.fits"}
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108900.59,    99458.83,          0.023975,     30.95,     49.60,              21.56, 0.1350,    True,    True, {"ff_name": "FF_UK001L_20210810_003915_073_0374016.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107854.50,    99216.83,          0.033591,     43.47,     70.10,              21.56, 0.1350,    True,    True, {"ff_name": "FF_UK002F_20210810_003911_553_0367360.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   107364.58,   102209.52,          0.020514,     47.12,     22.28,              80.04, 0.9701,    True,    True, {"ff_name": "FF_UK002Z_20210810_003909_534_0383744.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,     UK000S,       1,  1.657190, 2459436.527271893807, 115.28799,  61.61157,               15.92335,  25.23390,        15.84826,       25.29634,    115.28799,     +61.61157,     115.38026,      +61.69444,  3325393.45, -2108414.35,  5135364.36,      52.703943,       -0.914069,  106431.11,  240510.47,       0.00,             3165.05, -94943.96,      0.00,           57550.04,   -123.08,   -367.15,         332.08,  +2.17,  +0.26
  1,     UK000S,       1,  1.697454, 2459436.527272359468, 115.99707,  61.46323,               15.63421,  24.97379,        15.57045,       25.02675,    115.99707,     +61.46323,     116.07785,      +61.53328,  3324368.73, -2109456.06,  5133023.44,      52.693564,       -0.935025,  104382.06,  238213.22,    2759.55,             5924.60, -94561.21,  68536.50,           57550.04,   -103.75,   -308.94,         282.18,  +1.60,  -0.28
  2,     UK000S,       1,  1.737678, 2459436.527272825129, 116.60728,  61.33447,               15.38297,  24.75031,        15.33096,       24.79347,    116.60728,     +61.33447,     116.67547,      +61.39140,  3323499.01, -2110340.21,  5131036.59,      52.684746,       -0.952839,  102643.24,  236270.84,    5101.71,             8266.76, -94593.50,  58227.90,           57550.04,    -84.13,   -250.06,         230.32,  +2.24,  +0.37
  3,     UK000S,       1,  1.777886, 2459436.527273290791, 117.02635,  61.17208,               15.23690,  24.52814,        15.14056,       24.60781,    117.02635,     +61.17208,     117.14784,      +61.27701,  3322817.59, -2111032.93,  5129479.93,      52.677833,       -0.966835,  101281.01,  234753.53,    6936.76,            10101.81, -95131.95,  45638.83,           57550.04,   -154.00,   -460.15,         426.34,  +4.33,  +2.48
  0,     UK001L,       0,  0.000000, 2459436.527252713218,  71.77748,  78.13323,               17.15642,  47.56511,        17.15474,       47.57078,     71.77748,     +78.13323,      71.75559,      +78.13687,  3326621.93, -2107165.50,  5138170.75,      52.716372,       -0.882227,  108900.59,  146412.34,       0.00,              143.21,  -140.93,      0.00,           64927.64,    -12.55,     -7.82,          20.83,  +1.86,  +1.03
  1,     UK001L,       0,  0.040200, 2459436.527253178414,  73.07693,  78.41465,               16.60465,  47.46486,        16.59506,       47.49600,     73.07693,     +78.41465,      72.95607,      +78.43520,  3325668.51, -2108134.72,  5135992.72,      52.706727,       -0.901733,  106994.11,  144031.18,    2567.53,             2424.32,  -232.85,  63868.94,           64927.64,    -67.83,    -42.36,         114.53,  +1.29,  +0.50
  2,     UK001L,       0,  0.080388, 2459436.527253643610,  74.35853,  78.72880,               16.01660,  47.39484,        16.01028,       47.41469,     74.35853,     +78.72880,      74.28097,      +78.74225,  3324701.90, -2109117.37,  5133784.55,      52.696939,       -0.921509,  105061.69,  141623.96,    5170.60,             5027.39,    -2.11,  64772.25,           64927.64,    -42.60,    -26.57,          73.12,  +0.99,  +0.23
  3,     UK001L,       0,  0.120600, 2459436.527254109271,  75.86992,  79.04116,               15.40264,  47.29793,        15.39358,       47.32539,     75.86992,     +79.04116,      75.76199,      +79.06034,  3323713.50, -2110122.16,  5131526.59,      52.686921,       -0.941731,  103086.17,  139170.03,    7832.35,             7689.14,   285.91,  66192.94,           64927.64,    -58.00,    -36.19,         101.32,  +1.24,  +0.52
  4,     UK001L,       0,  0.160756, 2459436.527254574001,  77.07420,  79.29572,               14.90963,  47.23401,        14.90344,       47.25229,     77.07420,     +79.29572,      77.00236,      +79.30878,  3322952.10, -2110896.19,  5129787.20,      52.679197,       -0.957349,  101564.68,  137284.64,    9882.79,             9739.58,   -34.08,  51061.93,           62278.83,    -38.14,    -23.77,          67.52,  +1.90,  +1.21
  5,     UK001L,       0,  0.201000, 2459436.527255039662,  78.98543,  79.63253,               14.21733,  47.11544,        14.20736,       47.14374,     78.98543,     +79.63253,      78.87387,      +79.65347,  3321898.03, -2111967.74,  5127379.23,      52.668496,       -0.978909,   99458.83,  134683.55,   12721.39,            12578.18,   428.89,  70534.65,           62702.57,    -58.04,    -36.20,         104.76,  +3.79,  +3.14
  0,     UK002F,       0,  0.011252, 2459436.527252846863,  72.25336,  78.32329,               16.84014,  47.56790,        16.85142,       47.53013,     72.25336,     +78.32329,      72.40036,      +78.29884,  3326098.81, -2107697.29,  5136975.72,      52.711081,       -0.892885,  107854.50,  145105.64,       0.00,             1265.53,   317.20,      0.00,           56138.34,     82.93,     51.42,         138.70,  +2.00,  +1.19
  1,     UK002F,       0,  0.051212, 2459436.527253309265,  73.17478,  78.54356,               16.42324,  47.50927,        16.43408,       47.47395,     73.17478,     +78.54356,      73.31339,      +78.52023,  3325399.48, -2108408.22,  5135378.13,      52.704004,       -0.907237,  106456.23,  143360.48,    1883.28,             3148.81,  -158.38,  47129.22,           56138.34,     76.72,     47.57,         129.88,  +1.25,  +0.47
  2,     UK002F,       0,  0.091152, 2459436.527253771666,  74.50058,  78.85152,               15.83856,  47.43099,        15.85094,       47.39199,     74.50058,     +78.85152,      74.65506,      +78.82504,  3324443.67, -2109379.89,  5133194.62,      52.694323,       -0.926795,  104545.50,  140982.05,    4457.29,             5722.81,    57.94,  64446.72,           56138.34,     83.42,     51.70,         143.60,  +1.17,  +0.42
  3,     UK002F,       0,  0.131112, 2459436.527254234068,  75.78195,  79.10124,               15.33858,  47.34267,        15.34641,       47.31880,     75.78195,     +79.10124,      75.87726,      +79.08460,  3323641.25, -2110195.61,  5131361.55,      52.686189,       -0.943242,  102941.78,  138990.56,    6618.17,             7883.70,  -140.04,  54076.09,           56138.34,     50.41,     31.29,          88.05,  +0.85,  +0.14
  4,     UK002F,       0,  0.171052, 2459436.527254696470,  77.31369,  79.40584,               14.73716,  47.25338,        14.74571,       47.22817,     77.31369,     +79.40584,      77.41492,      +79.38775,  3322710.43, -2111141.87,  5129235.12,      52.676745,       -0.962297,  101081.81,  136687.35,    9124.87,            10390.40,     8.99,  62761.72,           57533.26,     52.44,     32.54,          93.13,  +1.59,  +0.91
  5,     UK002F,       0,  0.210984, 2459436.527255158406,  78.97175,  79.71796,               14.11341,  47.16348,        14.12484,       47.13085,     78.97175,     +79.71796,      79.10310,      +79.69383,  3321776.88, -2112090.90,  5127102.48,      52.667265,       -0.981410,   99216.83,  134384.96,   11638.88,            12904.41,   165.79,  62957.41,           58706.37,     66.89,     41.46,         120.79,  +2.91,  +2.27
  0,     UK002Z,       0,  0.026234, 2459436.527253004257, 313.82246,  11.84719,              200.70696,  46.77428,       200.69514,       46.77133,    313.82246,     +11.84719,     313.83000,      +11.84257,  3325853.80, -2107946.36,  5136416.00,      52.708602,       -0.897912,  107364.58,  146246.09,       0.00,             1925.34,    92.57,      0.00,           56966.96,     -9.42,     19.88,          31.03,  +2.00,  +1.17
  1,     UK002Z,       0,  0.066922, 2459436.527253475040, 313.32766,  11.06314,              201.14675,  45.90380,       201.15380,       45.90556,    313.32766,     +11.06314,     313.32345,      +11.06593,  3324973.42, -2108841.35,  5134404.81,      52.699689,       -0.915940,  105604.45,  145890.13,    2370.86,             4296.20,    61.59,  58269.30,           56966.96,      5.68,    -12.00,          18.77,  +0.63,  -0.19
  2,     UK002Z,       0,  0.107606, 2459436.527253945824, 312.85589,  10.27471,              201.54415,  45.03266,       201.59478,       45.04526,    312.85589,     +10.27471,     312.82372,      +10.29494,  3324104.39, -2109724.79,  5132419.56,      52.690884,       -0.933741,  103867.39,  145576.00,    4711.13,             6636.47,     0.26,  57523.02,           56966.96,     41.19,    -87.13,         136.56,  +0.81,  -0.01
  3,     UK002Z,       0,  0.148282, 2459436.527254416607, 312.35652,   9.54894,              201.98964,  44.21523,       202.00541,       44.21914,    312.35652,      +9.54894,     312.34687,       +9.55530,  3323274.82, -2110568.12,  5130524.44,      52.682472,       -0.950743,  102209.52,  145310.96,    6945.16,             8870.50,  -166.84,  54922.52,           56966.96,     12.97,    -27.40,          43.04,  +2.25,  +1.44

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.