Orbital Analysis for matched events on 20210810_224905.305_UK

Summary for Event
-----------------
shower ID 1 CAP
Lg 307.75° Bg 10.65° Vg 18.77km/s
mass 0.02157g, abs. mag 2.6
Path Details
------------
start -1.94° 50.60° 92.77km
end   -1.96° 50.68° 86.82km

Orbit Details
-------------
Semimajor axis 2.72A.U., eccentricity 0.73, inclination 6.05°, Period 4.48Y, LA Sun 138.22°, last Perihelion 2017-03-29

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: 2459437.450755847152
Time: 2021-08-10 22:49:05.305194 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 25.23686 deg
 R.A. = 307.87752  Dec =  -2.82346 deg

Best intersection: Stations UK000H and UK002D with Qconv = 25.24 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2055270.53 +/- 48.29 m
 Y =  -3565170.66 +/- 105.83 m
 Z =   4977395.38 +/- 70.38 m
 Vx =    13184.89 +/- 427.31 m/s
 Vy =   -17327.56 +/- 386.30 m/s
 Vz =    -1355.11 +/- 206.81 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.354642e+03, -4.894482e+03, +3.057193e+03, -2.230398e+03, -2.411060e+03, +9.941223e+03
-4.894482e+03, +1.211996e+04, -7.713670e+03, +4.495092e+03, +1.004825e+04, -2.322575e+04
+3.057193e+03, -7.713670e+03, +5.214926e+03, -8.280952e+02, -8.653713e+03, +1.476506e+04
-2.230398e+03, +4.495092e+03, -8.280952e+02, +1.332989e+05, -1.526591e+05, -3.240257e+04
-2.411060e+03, +1.004825e+04, -8.653713e+03, -1.526591e+05, +2.032944e+05, +3.913147e+03
+9.941223e+03, -2.322575e+04, +1.476506e+04, -3.240257e+04, +3.913147e+03, +6.241809e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK002D: 0.005576 s

Reference point on the trajectory:
  Time: 2021-08-10 22:49:05.305194 UTC
  Lon     = +-1.939548 +/- 0.0003 deg
  Lat     = +50.603218 +/- 0.0004 deg
  Lat geo = +50.417056 +/- 0.0004 deg
  Ht      =   92796.81 +/- 125.85 m

  JD dynamic   = 2459437.451556588057 
  LST apparent = 299.9628415496 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 307.26825 +/- 0.2785 deg
  Dec       =  -3.56131 +/- 0.6385 deg
  Azimuth   = 171.03462 +/- 0.2800 deg
  Elevation = +35.47288 +/- 0.6587 deg
  Vavg      =  19.79681 +/- 0.5124 km/s
  Vinit     =  21.81564 +/- 0.5784 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 308.05007 +/- 0.2785 deg
  Dec       =  -3.55476 +/- 0.6385 deg
  Azimuth   = 170.08130 +/- 0.2800 deg
  Elevation = +35.39799 +/- 0.6587 deg
  Vavg      =  19.83692 +/- 0.5124 km/s
  Vinit     =  21.85575 +/- 0.5784 km/s
Radiant (geocentric, J2000):
  R.A.   = 307.42106 +/- 0.2893 deg
  Dec    =  -8.01719 +/- 0.6875 deg
  Vg     =  18.77462 +/- 0.6681 km/s
  Vinf   =  21.81564 +/- 0.5784 km/s
  Zc     =  54.34323 +/- 0.6588 deg
  Zg     =  58.74788 +/- 0.7060 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 307.75448 +/- 0.1851 deg
  Bg     = +10.65183 +/- 0.7225 deg
  Vh     =  37.73932 +/- 0.4126 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 257.60288 +/- 0.7825 deg
  Bh     =  +5.27744 +/- 0.3982 deg
  Vh_x   =   8.06777 +/- 0.4237 km/s
  Vh_y   =  36.70311 +/- 0.4963 km/s
  Vh_z   =  -3.47121 +/- 0.2865 km/s
Orbit:
  La Sun = 138.221398 +/- -0.0000 deg
  a      =   2.719492 +/- 0.3233 AU
  e      =   0.733655 +/- 0.0279
  i      =   6.048942 +/- 0.4797 deg
  peri   = 250.961172 +/- 0.3465 deg
  node   = 138.257228 +/- 0.0024 deg
  Pi     =  29.218400 +/- 0.3476 deg
  q      =   0.724323 +/- 0.0071 AU
  f      = 289.002948 +/- 0.3476 deg
  M      = 350.561117 +/- 1.3915 deg
  Q      =   4.714661 +/- 0.6530 AU
  n      =   0.219772 +/- 0.0303 deg/day
  T      =   4.484689 +/- 0.8465 years
  Last perihelion JD = 2457842.338978 (2017-03-29 20:08:07.657839) +/- 309.7857 days
  Tj     =   2.890642 +/- 0.1818
Shower association:
  IAU No.  =    1
  IAU code =  CAP

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.665969e-04, -1.731045e-04, -8.563237e+00, -7.377519e-07, +1.704549e-05, +1.525781e-04
q   , -1.731045e-04, +4.602416e-05, +1.851456e+00, +9.512645e-08, -2.054004e-05, -2.099603e-05
Tp  , -8.563237e+00, +1.851456e+00, +9.725800e+04, +9.426569e-03, +3.432755e-03, -1.930386e+00
node, -7.377519e-07, +9.512645e-08, +9.426569e-03, +2.107501e-09, +1.526888e-07, -4.134775e-07
peri, +1.704549e-05, -2.054004e-05, +3.432755e-03, +1.526888e-07, +4.057793e-05, -2.843780e-05
i   , +1.525781e-04, -2.099603e-05, -1.930386e+00, -4.134775e-07, -2.843780e-05, +8.133213e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 18.918272
 a2 = 7.491760

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 3.692e-05 s
  Stddev    = 6.08e-03 s

Begin point on the trajectory:
  Lon =    -1.939641 +/- 0.0003 deg
  Lat =    50.603590 +/- 0.0005 deg
  Ht  = 92766.51 +/- 133.15 m
End point on the trajectory:
  Lon =    -1.959961 +/- 0.0003 deg
  Lat =    50.676711 +/- 0.0002 deg
  Ht  = 86822.71 +/- 92.23 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,  22.166014,   7.128310,    92766.51,    86822.71,          0.015342,     17.87,     17.60,              39.44, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210810_224903_062_0228352.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   8.076073,   9.425139,    92504.51,    87000.91,          0.024117,     19.50,     47.29,              17.06, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210810_224905_092_0227328.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,     UK000H,       0,  0.000000, 2459437.450755847152, 291.94288,  33.41056,              202.05293,  71.55583,       202.03644,       71.56035,    291.94288,     +33.41056,     291.95040,      +33.41340,  2055238.97, -3565129.19,  4977398.63,      50.603590,       -1.939641,   92766.51,   97684.39,       0.00,               52.22,   119.92,      0.00,           21419.73,     -8.24,     -8.39,          24.83,  +3.74,  +3.79
  1,     UK000H,       0,  0.039868, 2459437.450756308623, 291.78469,  33.66045,              202.68295,  71.75713,       202.64216,       71.76841,    291.78469,     +33.66045,     291.80349,      +33.66751,  2054790.55, -3564539.86,  4977444.72,      50.608879,       -1.941119,   92335.95,   97116.16,     741.97,              794.18,    -7.86,  18610.57,           21419.73,    -20.25,    -20.60,          61.35,  +3.29,  +3.35
  2,     UK000H,       0,  0.079692, 2459437.450756769627, 291.61792,  33.97322,              203.40765,  72.01454,       203.39164,       72.01902,    291.61792,     +33.97322,     291.62557,      +33.97600,  2054252.90, -3563833.29,  4977499.97,      50.615221,       -1.942858,   91819.79,   96437.70,    1631.56,             1683.77,    12.94,  22338.08,           21419.73,     -7.87,     -8.01,          24.02,  +2.74,  +2.82
  3,     UK000H,       0,  0.119536, 2459437.450757230632, 291.40252,  34.28470,              204.27356,  72.25590,       204.19615,       72.27789,    291.40252,     +34.28470,     291.43847,      +34.29819,  2053698.86, -3563105.17,  4977556.92,      50.621758,       -1.944646,   91287.97,   95742.16,    2548.26,             2600.48,    60.43,  23007.33,           21419.73,    -37.79,    -38.39,         116.07,  +2.24,  +2.33
  4,     UK000H,       0,  0.159368, 2459437.450757691637, 291.25770,  34.57872,              204.95708,  72.49650,       204.93075,       72.50406,    291.25770,     +34.57872,     291.27044,      +34.58331,  2053214.64, -3562468.82,  4977606.68,      50.627471,       -1.946230,   90823.22,   95137.53,    3349.44,             3401.66,    -7.35,  20114.04,           21348.05,    -12.75,    -12.96,          39.41,  +2.45,  +2.56
  5,     UK000H,       0,  0.199208, 2459437.450758152641, 291.13225,  34.84908,              205.57948,  72.71812,       205.61740,       72.70713,    291.13225,     +34.84908,     291.11569,      +34.84246,  2052779.36, -3561896.76,  4977651.42,      50.632608,       -1.947671,   90405.46,   94596.65,    4069.67,             4121.89,  -156.26,  18077.95,           20860.42,     18.21,     18.53,          56.65,  +2.32,  +2.44
  6,     UK000H,       0,  0.239056, 2459437.450758614112, 290.93068,  35.14668,              206.44666,  72.94241,       206.44240,       72.94366,    290.93068,     +35.14668,     290.93363,      +35.14743,  2052273.15, -3561231.50,  4977703.45,      50.638583,       -1.949321,   89919.71,   93970.45,    4907.24,             4959.46,  -188.00,  21019.14,           20703.26,     -2.03,     -2.07,           6.36,  +2.39,  +2.53
  7,     UK000H,       0,  0.278904, 2459437.450759075116, 290.73900,  35.44211,              207.30386,  73.16450,       207.27605,       73.17281,    290.73900,     +35.44211,     290.75304,      +35.44702,  2051781.86, -3560585.85,  4977753.94,      50.644382,       -1.950928,   89448.32,   93365.92,    5720.12,             5772.34,  -244.43,  20399.60,           20612.47,    -13.24,    -13.44,          41.68,  +1.87,  +2.02
  8,     UK000H,       0,  0.318728, 2459437.450759536121, 290.55745,  35.76355,              208.18652,  73.41086,       208.18264,       73.41204,    290.55745,     +35.76355,     290.56059,      +35.76424,  2051268.07, -3559910.63,  4977806.75,      50.650448,       -1.952601,   88955.40,   92737.06,    6570.24,             6622.46,  -263.10,  21346.82,           20619.04,     -1.83,     -1.86,           5.81,  +1.71,  +1.87
  9,     UK000H,       0,  0.358552, 2459437.450759997126, 290.36348,  36.08807,              209.12843,  73.65313,       209.13291,       73.65175,    290.36348,     +36.08807,     290.36288,      +36.08727,  2050751.40, -3559231.63,  4977859.85,      50.656549,       -1.954283,   88459.80,   92108.28,    7425.10,             7477.32,  -277.02,  21466.05,           20668.57,      2.11,      2.14,           6.74,  +2.02,  +2.20
 10,     UK000H,       0,  0.398392, 2459437.450760458130, 290.20834,  36.37136,              209.93201,  73.86624,       209.97317,       73.85332,    290.20834,     +36.37136,     290.19064,      +36.36395,  2050313.80, -3558656.54,  4977904.82,      50.661717,       -1.955733,   88040.05,   91578.82,    8149.16,             8201.37,  -422.10,  18174.00,           20582.19,     19.35,     19.66,          62.14,  +1.80,  +1.99
 11,     UK000H,       0,  0.438216, 2459437.450760919135, 290.00381,  36.70336,              210.95754,  74.10538,       211.00241,       74.09100,    290.00381,     +36.70336,     289.98436,      +36.69520,  2049796.17, -3557976.26,  4977958.03,      50.667831,       -1.957420,   87543.61,   90955.73,    9005.63,             9057.85,  -434.41,  21506.59,           20567.90,     21.07,     21.40,          68.10,  +2.09,  +2.30
 12,     UK000H,       0,  0.478104, 2459437.450761380605, 289.78382,  36.95453,              211.92551,  74.26187,       211.86886,       74.28044,    289.78382,     +36.95453,     289.81298,      +36.96499,  2049379.09, -3557428.13,  4978000.89,      50.672758,       -1.958811,   87143.62,   90456.76,    9695.73,             9747.95,  -614.49,  17300.92,           20451.41,    -26.72,    -27.07,          86.74,  +3.15,  +3.37
 13,     UK000H,       0,  0.517964, 2459437.450761842076, 289.68194,  37.18813,              212.56424,  74.43933,       212.59057,       74.43060,    289.68194,     +37.18813,     289.67141,      +37.18324,  2049044.48, -3556988.39,  4978035.28,      50.676711,       -1.959961,   86822.71,   90058.59,   10249.38,            10301.59,  -930.42,  13889.73,           20190.60,     12.39,     12.57,          40.44,  +4.16,  +4.39
  0,     UK002D,       0,  0.024776, 2459437.450756044593, 295.51175,   8.87427,              186.70039,  47.35478,       186.74743,       47.31933,    295.51175,      +8.87427,     295.47699,       +8.84127,  2054966.11, -3564770.59,  4977426.67,      50.606808,       -1.940510,   92504.51,  124902.17,       0.00,              503.70,    30.90,      0.00,           20969.01,     96.03,     39.78,         171.65,  +5.02,  +4.54
  1,     UK002D,       0,  0.064752, 2459437.450756506994, 295.38388,   8.89952,              186.88916,  47.37052,       186.86787,       47.38676,    295.38388,      +8.89952,     295.39992,       +8.91462,  2054511.42, -3564173.03,  4977473.40,      50.612172,       -1.942007,   92067.97,  124184.19,     752.33,             1256.03,   -88.88,  18819.42,           20969.01,    -43.56,    -17.82,          78.16,  +5.04,  +4.57
  2,     UK002D,       0,  0.104660, 2459437.450756968930, 295.29976,   9.00786,              187.02388,  47.47218,       187.02170,       47.47384,    295.29976,      +9.00786,     295.30178,       +9.00941,  2053931.53, -3563410.94,  4977533.00,      50.619013,       -1.943870,   91511.30,  123268.84,    1711.81,             2215.51,    -0.01,  24042.44,           20969.01,     -4.42,     -1.81,           7.99,  +3.12,  +2.67
  3,     UK002D,       0,  0.144588, 2459437.450757431332, 295.22769,   9.09153,              187.13859,  47.55004,       187.14721,       47.54346,    295.22769,      +9.09153,     295.22186,       +9.08542,  2053472.40, -3562807.55,  4977580.19,      50.624430,       -1.945381,   91070.59,  122544.80,    2471.49,             2975.19,  -111.39,  19026.11,           20969.01,     17.38,      7.14,          31.62,  +3.71,  +3.27
  4,     UK002D,       0,  0.184504, 2459437.450757893268, 295.11298,   9.18801,              187.31738,  47.63720,       187.31594,       47.63831,    295.11298,      +9.18801,     295.11479,       +9.18903,  2052855.26, -3561996.51,  4977643.62,      50.631712,       -1.947355,   90478.32,  121571.95,    3492.60,             3996.30,    38.93,  25581.62,           21799.27,     -2.88,     -1.18,           5.28,  +2.59,  +2.17
  5,     UK002D,       0,  0.224412, 2459437.450758355204, 295.04156,   9.29687,              187.43489,  47.73998,       187.46208,       47.71916,    295.04156,      +9.29687,     295.02227,       +9.27762,  2052335.02, -3561312.81,  4977697.09,      50.637853,       -1.949046,   89979.10,  120752.64,    4353.38,             4857.08,    29.09,  21569.11,           22003.71,     54.01,     22.22,          99.76,  +3.05,  +2.64
  6,     UK002D,       0,  0.264332, 2459437.450758817140, 294.97267,   9.38794,              187.54689,  47.82513,       187.59244,       47.79025,    294.97267,      +9.38794,     294.93990,       +9.35573,  2051881.95, -3560717.40,  4977743.65,      50.643201,       -1.950541,   89544.37,  120039.73,    5103.02,             5606.72,   -92.15,  18778.51,           21731.24,     89.86,     37.06,         167.02,  +3.19,  +2.79
  7,     UK002D,       0,  0.304312, 2459437.450759280007, 294.86601,   9.41254,              187.70617,  47.84080,       187.69849,       47.84674,    294.86601,      +9.41254,     294.87297,       +9.41802,  2051524.32, -3560247.39,  4977780.41,      50.647423,       -1.951757,   89201.22,  119477.50,    5694.76,             6198.46,  -372.60,  14801.01,           21039.28,    -15.18,     -6.20,          28.31,  +2.65,  +2.26
  8,     UK002D,       0,  0.344208, 2459437.450759741478, 294.80806,   9.53253,              187.80640,  47.95547,       187.84447,       47.92614,    294.80806,      +9.53253,     294.78114,       +9.50551,  2051027.64, -3559594.66,  4977831.46,      50.653287,       -1.953380,   88724.75,  118696.80,    6516.56,             7020.26,  -421.16,  20598.39,           20687.12,     74.47,     30.63,         139.93,  +3.10,  +2.73
  9,     UK002D,       0,  0.384132, 2459437.450760203414, 294.67858,   9.61898,              188.00773,  48.03047,       188.01919,       48.02158,    294.67858,      +9.61898,     294.67161,       +9.61080,  2050438.33, -3558820.19,  4977892.03,      50.660246,       -1.955276,   88159.50,  117771.05,    7491.63,             7995.33,  -317.06,  24423.11,           20711.60,     22.33,      9.14,          42.26,  +2.41,  +2.05
 10,     UK002D,       0,  0.424048, 2459437.450760665815, 294.56707,   9.71657,              188.18462,  48.11786,       188.18971,       48.11389,    294.56707,      +9.71657,     294.56501,       +9.71293,  2049875.29, -3558080.25,  4977949.89,      50.666896,       -1.957096,   87619.53,  116887.37,    8423.23,             8926.93,  -256.25,  23339.08,           20844.35,      9.87,      4.03,          18.81,  +2.90,  +2.56
 11,     UK002D,       0,  0.463996, 2459437.450761128217, 294.50243,   9.77945,              188.28825,  48.17469,       188.29576,       48.16883,    294.50243,      +9.77945,     294.49873,       +9.77407,  2049541.91, -3557642.12,  4977984.16,      50.670834,       -1.958242,   87299.76,  116364.90,    8974.84,             9478.54,  -576.12,  13808.30,           20650.17,     14.49,      5.92,          27.75,  +3.18,  +2.85
 12,     UK002D,       0,  0.503948, 2459437.450761590619, 294.43652,   9.83432,              188.39285,  48.22336,       188.39652,       48.22050,    294.43652,      +9.83432,     294.43586,       +9.83169,  2049230.33, -3557232.64,  4978016.18,      50.674515,       -1.959324,   87000.91,  115876.90,    9490.38,             9994.08,  -932.16,  12904.01,           20277.25,      7.04,      2.87,          13.54,  +4.53,  +4.21
 13,     UK002D,       1,  0.583880, 2459437.450762515422, 294.35494,   9.91476,              188.52430,  48.29596,       188.53500,       48.28758,    294.35494,      +9.91476,     294.34936,       +9.90709,  2048826.15, -3556701.46,  4978057.72,      50.679290,       -1.960845,   86613.11,  115244.94,   10159.14,            10662.84, -2007.17,   8366.55,           19291.02,     20.48,      8.35,          39.59,  +6.53,  +6.22

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.