Orbital Analysis for matched events on 20210810_010036.671_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.25° Bg 38.35° Vg 58.53km/s
mass 0.03327g, abs. mag -1.5
Path Details
------------
start -0.04° 52.63° 109.99km
end   -0.18° 52.57° 95.51km

Orbit Details
-------------
Semimajor axis 11.90A.U., eccentricity 0.92, inclination 112.40°, Period 41.04Y, LA Sun 137.35°, 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: 2459436.542091104202
Time: 2021-08-10 01:00:36.671403 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK000S
 Convergence angle = 35.03500 deg
 R.A. =  51.61181  Dec = +60.00331 deg
Intersection 2 - Stations: UK000C and UK002F
 Convergence angle = 44.54833 deg
 R.A. =  48.19037  Dec = +58.23125 deg
Intersection 3 - Stations: UK000C and UK002K
 Convergence angle = 31.16956 deg
 R.A. =  46.20698  Dec = +57.07072 deg
Intersection 4 - Stations: UK000S and UK002F
 Convergence angle = 9.64470 deg
 R.A. =  32.35605  Dec = +56.89838 deg
Intersection 5 - Stations: UK000S and UK002K
 Convergence angle = 4.45622 deg
 R.A. = 282.58713  Dec = -53.05645 deg
Intersection 6 - Stations: UK002F and UK002K
 Convergence angle = 13.41258 deg
 R.A. =  54.85634  Dec = +58.19042 deg

Best intersection: Stations UK000C and UK002F with Qconv = 44.55 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3542352.67 +/- 435.29 m
 Y =  -1738883.17 +/- 724.33 m
 Z =   5133562.72 +/- 1396.39 m
 Vx =    21697.95 +/- 1540.40 m/s
 Vy =    22999.77 +/- 1207.74 m/s
 Vz =    50489.67 +/- 1528.64 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.394058e+04, +1.040431e+05, +2.241590e+05, -6.745369e+04, +4.481519e+04, +6.326512e+04
+1.040431e+05, +1.496760e+05, +3.088834e+05, -1.025649e+05, +1.204520e+05, +1.426927e+05
+2.241590e+05, +3.088834e+05, +6.478956e+05, -2.176503e+05, +2.051076e+05, +2.595909e+05
-6.745369e+04, -1.025649e+05, -2.176503e+05, +2.401791e+05, -7.704809e+04, -4.685844e+04
+4.481519e+04, +1.204520e+05, +2.051076e+05, -7.704809e+04, +3.165202e+05, +2.971952e+05
+6.326512e+04, +1.426927e+05, +2.595909e+05, -4.685844e+04, +2.971952e+05, +3.459505e+05

Timing offsets (from input data):
    UK000C: 0.005327 s
    UK000S: 0.004955 s
    UK002F: 0.000000 s
    UK002K: 0.007750 s

Reference point on the trajectory:
  Time: 2021-08-10 01:00:36.671403 UTC
  Lon     = +-0.033150 +/- 0.0121 deg
  Lat     = +52.633397 +/- 0.0071 deg
  Lat geo = +52.450766 +/- 0.0071 deg
  Ht      =  110268.95 +/- 1150.64 m

  JD dynamic   = 2459436.542891845107 
  LST apparent = 333.8543312337 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.66827 +/- 1.9717 deg
  Dec       = +57.94289 +/- 0.3434 deg
  Azimuth   =  52.45429 +/- 1.1121 deg
  Elevation = +50.24291 +/- 0.8367 deg
  Vavg      =  58.42577 +/- 2.9084 km/s
  Vinit     =  59.57346 +/- 1.5779 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.82101 +/- 1.9717 deg
  Dec       = +57.71926 +/- 0.3434 deg
  Azimuth   =  52.71643 +/- 1.1121 deg
  Elevation = +50.07433 +/- 0.8367 deg
  Vavg      =  58.57220 +/- 2.9084 km/s
  Vinit     =  59.71989 +/- 1.5779 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.87686 +/- 1.9505 deg
  Dec    = +57.70598 +/- 0.3459 deg
  Vg     =  58.53102 +/- 1.6078 km/s
  Vinf   =  59.57346 +/- 1.5779 km/s
  Zc     =  39.86861 +/- 0.8392 deg
  Zg     =  40.23543 +/- 0.8300 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.24530 +/- 1.3737 deg
  Bg     = +38.35040 +/- 0.2300 deg
  Vh     =  40.93461 +/- 1.5290 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.91822 +/- 1.9331 deg
  Bh     = +62.52537 +/- 1.4993 deg
  Vh_x   =  -1.67283 +/- 0.5750 km/s
  Vh_y   = -18.81119 +/- 1.6288 km/s
  Vh_z   = -36.31781 +/- 0.9242 km/s
Orbit:
  La Sun = 137.349520 +/- nan deg
  a      =  11.897478 +/- 23.5423 AU
  e      =   0.921820 +/- 0.1270
  i      = 112.399735 +/- 1.0342 deg
  peri   = 145.899166 +/- 1.9335 deg
  node   = 137.349065 +/- 0.0001 deg
  Pi     = 283.248230 +/- 1.9335 deg
  q      =   0.930149 +/- 0.0092 AU
  f      =  34.096949 +/- 1.9335 deg
  M      =   0.569990 +/- nan deg
  Q      =  22.864806 +/- 47.0838 AU
  n      =   0.024017 +/- 0.0859 deg/day
  T      =  41.037697 +/- 339934606.2117 years
  Last perihelion JD = 2459412.810298 (2021-07-17 07:26:49.733963) +/- 2.1021 days
  Tj     =  -0.009240 +/- 0.7399
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.754601e-03, -1.270437e-04, +2.682409e-02, -3.159738e-08, +1.169919e-04, +4.346966e-04
q   , -1.270437e-04, +4.384716e-05, +3.919077e-03, -5.615559e-10, +1.405491e-04, +7.358033e-06
Tp  , +2.682409e-02, +3.919077e-03, +9.768298e-01, -5.680548e-07, +2.119391e-02, +7.773061e-03
node, -3.159738e-08, -5.615559e-10, -5.680548e-07, +6.559704e-13, -8.895768e-09, -8.970580e-09
peri, +1.169919e-04, +1.405491e-04, +2.119391e-02, -8.895768e-09, +5.694907e-04, +1.210907e-04
i   , +4.346966e-04, +7.358033e-06, +7.773061e-03, -8.970580e-09, +1.210907e-04, +1.226864e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.311303
 a2 = 23.486741

Mean time residuals from time vs. length:
  Station with reference time: UK002F
  Avg. res. = 6.559e-07 s
  Stddev    = 8.10e-04 s

Begin point on the trajectory:
  Lon =    -0.035826 +/- 0.0107 deg
  Lat =    52.632146 +/- 0.0065 deg
  Ht  = 109989.51 +/- 980.56 m
End point on the trajectory:
  Lon =    -0.176065 +/- 0.0069 deg
  Lat =    52.567010 +/- 0.0044 deg
  Ht  = 95508.17 +/- 584.03 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000271,  45.972829,   108244.38,    95696.27,          0.024097,     67.01,     38.66,              28.94, 0.2341,    True,    True, {"ff_name": "FF_UK000C_20210810_010035_931_0423936.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000087,  50.415755,   106757.40,    96124.52,          0.038819,    167.18,      4.65,              28.09, 0.2217,    True,    True, {"ff_name": "FF_UK000S_20210810_010034_702_0423168.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   6.445343,  13.609130,   109989.51,    95508.17,          0.040954,    103.30,     22.75,               8.01, 0.0194,    True,    True, {"ff_name": "FF_UK002F_20210810_010035_732_0398592.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   107413.63,   101898.60,          0.008363,     21.89,      0.07,              68.23, 0.8625,    True,   False, {"ff_name": "FF_UK002K_20210810_010033_540_0416000.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,     UK000C,       0,  0.039886, 2459436.542091503274, 112.34946,  68.33390,               16.79389,  33.37138,        16.76998,       33.39346,    112.34946,     +68.33390,     112.36747,      +68.36293,  3541393.39, -1739900.00,  5131330.54,      52.624325,       -0.052687,  108244.38,  192931.90,       0.00,             2633.78,  -289.33,      0.00,           61848.07,    -50.00,    -86.88,         107.17,  +3.40,  +1.97
  1,     UK000C,       0,  0.080006, 2459436.542091967538, 113.49553,  68.26988,               16.38736,  33.11056,        16.38937,       33.10871,    113.49553,     +68.26988,     113.49424,      +68.26745,  3540355.90, -1740999.74,  5128916.36,      52.614504,       -0.073833,  106055.22,  190460.88,    2848.52,             5482.30,   169.10,  71000.00,           61848.07,      4.16,      7.20,           9.00,  +1.78,  +0.38
  2,     UK000C,       0,  0.120114, 2459436.542092431802, 114.39432,  68.19695,               16.07797,  32.88903,        16.08677,       32.88095,    114.39432,     +68.19695,     114.38737,      +68.18635,  3539547.45, -1741856.70,  5127035.16,      52.606844,       -0.090351,  104349.69,  188542.27,    5068.18,             7701.96,    -0.61,  55342.13,           61848.07,     18.02,     31.20,          39.42,  +1.13,  -0.25
  3,     UK000C,       0,  0.160230, 2459436.542092896067, 115.41212,  68.11810,               15.72150,  32.64457,        15.74619,       32.62193,    115.41212,     +68.11810,     115.39073,      +68.08848,  3538650.80, -1742807.14,  5124948.72,      52.598340,       -0.108656,  102458.44,  186422.62,    7530.00,            10163.78,    71.37,  61367.57,           61848.07,     50.10,     86.59,         110.69,  +1.12,  -0.23
  4,     UK000C,       0,  0.200374, 2459436.542093360797, 116.29842,  67.99242,               15.43770,  32.38336,        15.43637,       32.38458,    116.29842,     +67.99242,     116.30048,      +67.99401,  3537849.13, -1743656.92,  5123083.28,      52.590731,       -0.125043,  100767.83,  184534.52,    9731.06,            12364.84,  -119.09,  54829.07,           60178.31,     -2.67,     -4.62,           5.96,  +0.91,  -0.42
  5,     UK000C,       0,  0.240498, 2459436.542093825061, 117.36746,  67.89601,               15.06103,  32.12076,        15.07701,       32.10621,    117.36746,     +67.89601,     117.35272,      +67.87704,  3536932.69, -1744628.33,  5120950.80,      52.582025,       -0.143755,   98835.56,  182385.29,   12247.20,            14880.98,     6.72,  62709.18,           60063.04,     31.67,     54.76,          71.54,  +1.07,  -0.23
  6,     UK000C,       0,  0.280626, 2459436.542094289325, 118.33521,  67.78541,               14.72735,  31.86506,        14.74623,       31.84793,    118.33521,     +67.78541,     118.31697,      +67.76312,  3536103.95, -1745506.80,  5119022.37,      52.574145,       -0.160696,   97088.52,  180449.77,   14522.58,            17156.36,  -108.46,  56703.01,           59661.81,     37.01,     63.96,          84.47,  +1.22,  -0.06
  7,     UK000C,       0,  0.320782, 2459436.542094754055, 119.05801,  67.62737,               14.51159,  31.60721,        14.47798,       31.63755,    119.05801,     +67.62737,     119.09505,      +67.66680,  3535443.42, -1746206.96,  5117485.35,      52.567860,       -0.174235,   95696.27,  178912.41,   16336.13,            18969.90,  -687.15,  45162.48,           58285.29,    -65.00,   -112.86,         150.15,  +3.23,  +1.97
  0,     UK000S,       0,  0.066626, 2459436.542091816664,  99.69424,  54.17310,               30.46040,  23.79471,        30.44423,       23.80246,     99.69424,     +54.17310,      99.70844,      +54.18768,  3540688.70, -1740646.97,  5129690.78,      52.617656,       -0.067048,  106757.40,  254131.13,       0.00,             4568.55,    52.46,      0.00,           58811.84,      2.02,    -74.07,          60.14,  +2.37,  +0.34
  1,     UK000S,       0,  0.106850, 2459436.542092282325, 100.06883,  54.03563,               30.34110,  23.55977,        30.31097,       23.57418,    100.06883,     +54.03563,     100.09544,      +54.06272,  3539836.73, -1741550.06,  5127708.30,      52.609586,       -0.084446,  104959.94,  252083.75,    2339.15,             6907.71,    -4.67,  58153.19,           58811.84,      3.79,   -136.98,         112.13,  +1.96,  -0.05
  2,     UK000S,       0,  0.147074, 2459436.542092747986, 100.44720,  53.89374,               30.22074,  23.32002,        30.17571,       23.34153,    100.44720,     +53.89374,     100.48724,      +53.93415,  3538982.86, -1742455.16,  5125721.40,      52.601490,       -0.101885,  103158.79,  250037.05,    4683.53,             9252.08,   -56.58,  58282.96,           58811.84,      5.72,   -203.34,         167.81,  +1.31,  -0.68
  3,     UK000S,       0,  0.187310, 2459436.542093213648, 100.85880,  53.76079,               30.07550,  23.07738,        30.03426,       23.09708,    100.85880,     +53.76079,     100.89597,      +53.79773,  3538101.00, -1743389.93,  5123669.38,      52.593123,       -0.119894,  101298.97,  247929.11,    7104.73,            11673.29,   -32.37,  60175.12,           58811.84,      5.15,   -184.90,         153.89,  +1.09,  -0.88
  4,     UK000S,       0,  0.227550, 2459436.542093679309, 101.28677,  53.62461,               29.92149,  22.82708,        29.88798,       22.84309,    101.28677,     +53.62461,     101.31752,      +53.65457,  3537200.85, -1744344.09,  5121574.78,      52.584573,       -0.138276,   99400.93,  245783.61,    9576.17,            14144.73,    41.83,  61417.52,           59451.86,      4.10,   -149.17,         125.24,  +0.92,  -1.03
  5,     UK000S,       0,  0.267782, 2459436.542094144970, 101.66509,  53.47483,               29.80062,  22.58107,        29.75104,       22.60472,    101.66509,     +53.47483,     101.71063,      +53.51905,  3536370.36, -1745224.40,  5119642.28,      52.576679,       -0.155252,   97650.09,  243809.31,   11856.36,            16424.91,   -74.75,  56675.81,           59238.08,      6.13,   -219.18,         185.50,  +0.87,  -1.07
  6,     UK000S,       0,  0.307982, 2459436.542094610166, 102.02265,  53.36589,               29.66634,  22.37643,        29.62995,       22.39380,    102.02265,     +53.36589,     102.05674,      +53.39830,  3535646.60, -1745991.59,  5117958.15,      52.569794,       -0.170070,   96124.52,  242092.52,   13843.49,            18412.04,  -482.47,  49431.16,           58111.89,      4.38,   -159.93,         136.31,  +2.62,  +0.70
  0,     UK002F,       0,  0.000000, 2459436.542091104202,  62.68749,  57.67111,               45.67265,  41.62010,        45.64110,       41.63146,     62.68749,     +57.67111,      62.69482,      +57.69698,  3542220.28, -1739023.51,  5133254.65,      52.632146,       -0.035826,  109989.51,  163705.12,       0.00,              363.49,  -183.45,      0.00,           62199.13,     15.96,    -73.06,          94.22,  +3.10,  +2.03
  1,     UK002F,       0,  0.040084, 2459436.542091568001,  62.90446,  57.66110,               45.59603,  41.51870,        45.56922,       41.52838,     62.90446,     +57.66110,      62.91096,      +57.68313,  3541410.79, -1739881.56,  5131371.03,      52.624490,       -0.052358,  108281.10,  161501.30,    2222.51,             2586.00,  -348.89,  55446.27,           62199.13,     13.35,    -61.37,          80.21,  +2.26,  +1.22
  2,     UK002F,       0,  0.080188, 2459436.542092032265,  63.18027,  57.64529,               45.50172,  41.38820,        45.47885,       41.39646,     63.18027,     +57.64529,      63.18613,      +57.66410,  3540410.26, -1740942.12,  5129042.86,      52.615019,       -0.072757,  106169.91,  158779.75,    4969.55,             5333.04,     9.02,  68497.95,           62199.13,     11.18,    -51.58,          68.57,  +1.90,  +0.90
  3,     UK002F,       0,  0.120288, 2459436.542092496529,  63.43257,  57.63322,               45.41251,  41.27033,        45.39622,       41.27622,     63.43257,     +57.63322,      63.43708,      +57.64663,  3539525.92, -1741879.52,  5126985.06,      52.606640,       -0.090810,  104304.28,  156374.44,    7397.58,             7761.07,    48.15,  60549.26,           62199.13,      7.82,    -36.25,          48.92,  +1.64,  +0.67
  4,     UK002F,       0,  0.160384, 2459436.542092960328,  63.71442,  57.63749,               45.29317,  41.14899,        45.30624,       41.14423,     63.71442,     +57.63749,      63.71185,      +57.62669,  3538586.90, -1742874.88,  5124800.03,      52.597734,       -0.109972,  102323.69,  153821.77,    9975.72,            10339.22,   237.64,  64299.39,           62664.13,     -6.10,     28.72,          39.38,  +1.86,  +0.92
  5,     UK002F,       0,  0.200492, 2459436.542093424592,  63.98589,  57.61688,               45.20483,  41.01816,        45.21737,       41.01359,     63.98589,     +57.61688,      63.98354,      +57.60652,  3537687.09, -1743828.68,  5122706.22,      52.589192,       -0.128345,  100426.16,  151376.41,   12446.23,            12809.73,   318.78,  61596.44,           62644.42,     -5.75,     27.14,          37.80,  +2.24,  +1.34
  6,     UK002F,       0,  0.240568, 2459436.542093888391,  64.13402,  57.57420,               45.19045,  40.92868,        45.16394,       40.93827,     64.13402,     +57.57420,      64.14197,      +57.59608,  3537175.32, -1744371.15,  5121515.37,      52.584331,       -0.138868,   99347.07,  149983.37,   13851.34,            14214.83,  -663.58,  35060.99,           59683.79,     12.23,    -56.81,          79.91,  +1.64,  +0.76
  7,     UK002F,       0,  0.280712, 2459436.542094353121,  64.43569,  57.50233,               45.14408,  40.75504,        45.06088,       40.78479,     64.43569,     +57.50233,      64.45980,      +57.57091,  3536174.90, -1745431.59,  5119187.47,      52.574820,       -0.159283,   97238.07,  147267.16,   16598.06,            16961.55,  -308.38,  68421.76,           59178.96,     38.49,   -174.90,         250.83,  +1.48,  +0.64
  8,     UK002F,       0,  0.320828, 2459436.542094817385,  64.69791,  57.46283,               45.07836,  40.61740,        44.97308,       40.65490,     64.69791,     +57.46283,      64.72913,      +57.54962,  3535354.16, -1746301.57,  5117277.66,      52.567010,       -0.176065,   95508.17,  145038.68,   18851.47,            19214.97,  -444.81,  56172.43,           58742.89,     48.33,   -218.12,         317.72,  +3.40,  +2.59
  0,     UK002K,       0,  0.053173, 2459436.542091627605, 342.11586,   9.18389,              167.91133,  45.10667,       167.92831,       45.11608,    342.11586,      +9.18389,     342.10281,       +9.19171,  3540999.71, -1740317.31,  5130414.46,      52.620600,       -0.060691,  107413.63,  150326.34,       0.00,             3714.67,     0.05,      0.00,           59774.88,      0.13,    -39.97,          54.84,  +2.07,  +1.18
  1,     UK002K,       0,  0.093417, 2459436.542092093732, 341.65870,   8.46589,              168.66646,  44.44918,       168.66643,       44.44916,    341.65870,      +8.46589,     341.65909,       +8.46587,  3540137.98, -1741230.74,  5128409.28,      52.612440,       -0.078285,  105595.47,  149488.34,    2365.94,             6080.61,   -31.48,  58789.84,           59774.88,     -0.00,      0.08,           0.11,  +0.38,  -0.49
  2,     UK002K,       0,  0.133705, 2459436.542092559859, 341.18501,   7.67647,              169.44038,  43.71836,       169.44646,       43.72168,    341.18501,      +7.67647,     341.18076,       +7.67929,  3539215.36, -1742208.71,  5126262.42,      52.603695,       -0.097114,  103649.21,  148627.95,    4899.05,             8613.72,   101.54,  62875.19,           59774.88,      0.05,    -14.29,          19.83,  +0.12,  -0.74
  3,     UK002K,       0,  0.173953, 2459436.542093025520, 340.74260,   6.96566,              170.14465,  43.05816,       170.14008,       43.05568,    340.74260,      +6.96566,     340.74690,       +6.96353,  3538385.34, -1743088.53,  5124331.01,      52.595821,       -0.114073,  101898.60,  147886.72,    7177.95,            10892.62,   -17.28,  56621.28,           59774.88,     -0.04,     10.75,          14.99,  -0.17,  -1.02

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.