Orbital Analysis for matched events on 20210816_023129.260_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.95° Bg 39.27° Vg 58.49km/s
mass 0.08090g, abs. mag -1.9
Path Details
------------
start -0.68° 48.80° 104.94km
end   -0.76° 48.76° 92.47km

Orbit Details
-------------
Semimajor axis 23.76A.U., eccentricity 0.96, inclination 110.94°, Period 115.81Y, LA Sun 143.17°, 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: 2459442.605199777987
Time: 2021-08-16 02:31:29.301132 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK002N
 Convergence angle = 12.83356 deg
 R.A. =  66.72762  Dec = +64.15437 deg
Intersection 2 - Stations: UK002D and UK0038
 Convergence angle = 6.44197 deg
 R.A. =  45.81352  Dec = +48.65775 deg
Intersection 3 - Stations: UK002N and UK0038
 Convergence angle = 19.03478 deg
 R.A. =  55.49050  Dec = +60.31222 deg

Best intersection: Stations UK002N and UK0038 with Qconv = 19.03 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4276523.65 +/- 291.97 m
 Y =    143318.79 +/- 60.43 m
 Z =   4857079.68 +/- 104.02 m
 Vx =    16568.38 +/- 1504.13 m/s
 Vy =    24375.68 +/- 467.22 m/s
 Vz =    51724.81 +/- 678.48 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.359193e+04, +3.756991e+03, -1.287445e+04, +1.025391e+05, +9.594393e+03, -2.183604e+04
+3.756991e+03, +3.343110e+03, -2.504172e+03, +2.395364e+04, +1.882119e+04, -1.431246e+04
-1.287445e+04, -2.504172e+03, +5.750345e+03, -4.874879e+04, -1.249336e+04, +1.369201e+04
+1.025391e+05, +2.395364e+04, -4.874879e+04, +6.280796e+05, +1.912868e+05, -1.725619e+05
+9.594393e+03, +1.882119e+04, -1.249336e+04, +1.912868e+05, +1.426368e+05, -9.698831e+04
-2.183604e+04, -1.431246e+04, +1.369201e+04, -1.725619e+05, -9.698831e+04, +8.481857e+04

Timing offsets (from input data):
    UK002D: 0.000180 s
    UK002N: 0.000000 s
    UK0038: 0.000276 s

Reference point on the trajectory:
  Time: 2021-08-16 02:31:29.301132 UTC
  Lon     = +-0.663335 +/- 0.0008 deg
  Lat     = +48.808686 +/- 0.0025 deg
  Lat geo = +48.621029 +/- 0.0025 deg
  Ht      =  106934.29 +/- 120.70 m

  JD dynamic   = 2459442.606000985485 
  LST apparent = 1.9194304546 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  55.79568 +/- 2.3152 deg
  Dec       = +60.32495 +/- 1.1062 deg
  Azimuth   =  48.59919 +/- 2.1245 deg
  Elevation = +57.78307 +/- 1.0216 deg
  Vavg      =  57.84531 +/- 0.0479 km/s
  Vinit     =  59.53269 +/- 0.1559 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  56.15024 +/- 2.3152 deg
  Dec       = +60.11417 +/- 1.1062 deg
  Azimuth   =  48.96896 +/- 2.1245 deg
  Elevation = +57.59235 +/- 1.0216 deg
  Vavg      =  57.97078 +/- 0.0479 km/s
  Vinit     =  59.65815 +/- 0.1559 km/s
Radiant (geocentric, J2000):
  R.A.   =  55.93547 +/- 2.3463 deg
  Dec    = +60.23854 +/- 1.1087 deg
  Vg     =  58.48921 +/- 0.1587 km/s
  Vinf   =  59.53269 +/- 0.1559 km/s
  Zc     =  32.34131 +/- 1.0261 deg
  Zg     =  32.63509 +/- 1.0368 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.95362 +/- 1.7657 deg
  Bg     = +39.26549 +/- 0.8026 deg
  Vh     =  41.40952 +/- 0.5784 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  93.39482 +/- 4.4998 deg
  Bh     = +63.37606 +/- 0.4618 deg
  Vh_x   =   1.09887 +/- 1.4660 km/s
  Vh_y   = -18.52439 +/- 0.2272 km/s
  Vh_z   = -37.01875 +/- 0.5980 km/s
Orbit:
  La Sun = 143.171309 +/- nan deg
  a      =  23.759137 +/- 170.4340 AU
  e      =   0.961019 +/- 0.0499
  i      = 110.944306 +/- 1.5434 deg
  peri   = 145.656824 +/- 2.0703 deg
  node   = 143.171701 +/- 0.0001 deg
  Pi     = 288.828526 +/- 2.0702 deg
  q      =   0.926157 +/- 0.0126 AU
  f      =  34.339831 +/- 2.0703 deg
  M      =   0.200521 +/- nan deg
  Q      =  46.592117 +/- 340.8650 AU
  n      =   0.008511 +/- 0.0164 deg/day
  T      = 115.810154 +/- 442215779.4137 years
  Last perihelion JD = 2459419.044513 (2021-07-23 13:04:05.893000) +/- 0.6873 days
  Tj     =  -0.203296 +/- 0.2602
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.015957e-04, -7.808562e-05, -2.601453e-03, +2.394521e-08, -1.937721e-04, -3.829369e-04
q   , -7.808562e-05, +4.650042e-05, +4.636283e-03, -5.177543e-09, +1.540618e-04, +8.280803e-05
Tp  , -2.601453e-03, +4.636283e-03, +5.196691e-01, -3.475877e-07, +1.608163e-02, +5.558614e-03
node, +2.394521e-08, -5.177543e-09, -3.475877e-07, +1.176855e-12, -1.503917e-08, -1.885070e-08
peri, -1.937721e-04, +1.540618e-04, +1.608163e-02, -1.503917e-08, +5.194936e-04, +2.405186e-04
i   , -3.829369e-04, +8.280803e-05, +5.558614e-03, -1.885070e-08, +2.405186e-04, +3.019608e-04

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: UK002N
  Avg. res. = 1.072e-06 s
  Stddev    = 1.04e-03 s

Begin point on the trajectory:
  Lon =    -0.675982 +/- 0.0005 deg
  Lat =    48.801320 +/- 0.0021 deg
  Ht  = 104936.54 +/- 93.02 m
End point on the trajectory:
  Lon =    -0.756109 +/- 0.0009 deg
  Lat =    48.755203 +/- 0.0018 deg
  Ht  = 92470.88 +/- 82.53 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
    UK002D,   False,    -1.801980,    51.351940,  129.00,  15.002935,   2.824779,   102665.58,    92548.20,          0.012327,     39.89,     54.76,              85.01, 0.9924,    True,    True, {"ff_name": "FF_UK002D_20210816_023122_097_0577280.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   104936.54,    95204.03,          0.011381,     44.22,     38.58,              89.86, 1.0000,    True,   False, {"ff_name": "FF_UK002N_20210816_023120_591_0585216.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.327141,  22.466014,   104141.74,    92470.88,          0.017404,     49.81,     86.62,              82.45, 0.9827,    True,    True, {"ff_name": "FF_UK0038_20210816_023129_998_0575232.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,     UK002D,       0,  0.093541, 2459442.605200858321,  17.03446, -19.57882,              163.93447,  17.64941,       163.95597,       17.66061,     17.03446,     -19.57882,      17.01131,      -19.57157,  4275119.27,   141252.65,  4852695.36,      48.792938,       -0.690587,  102665.58,  315042.33,       0.00,             5046.14,    14.31,      0.00,           59907.11,   -103.76,    -75.56,          84.04,  +1.37,  -1.12
  1,     UK002D,       0,  0.133865, 2459442.605201325379,  16.88101, -19.96963,              164.15806,  17.29150,       164.16705,       17.29618,     16.88101,     -19.96963,      16.87168,      -19.96658,  4274482.15,   140315.30,  4850706.33,      48.785785,       -0.703024,  100729.33,  314881.39,    2289.28,             7335.42,   -97.01,  56772.25,           59907.11,    -43.43,    -31.64,          35.20,  +0.89,  -1.60
  2,     UK002D,       0,  0.174221, 2459442.605201792438,  16.72923, -20.39994,              164.38586,  16.89395,       164.39575,       16.89909,     16.72923,     -20.39994,      16.71904,      -20.39657,  4273789.08,   139295.65,  4848542.64,      48.777997,       -0.716543,   98623.32,  314725.49,    4779.58,             9825.71,    -9.22,  61708.08,           59907.11,    -47.81,    -34.84,          38.77,  +0.79,  -1.70
  3,     UK002D,       0,  0.214573, 2459442.605202259496,  16.57695, -20.82235,              164.61092,  16.50373,       164.61977,       16.50833,     16.57695,     -20.82235,      16.56805,      -20.81932,  4273108.11,   138293.79,  4846416.70,      48.770339,       -0.729834,   96554.30,  314591.44,    7226.43,            12272.56,    35.37,  60637.64,           59907.11,    -42.81,    -31.19,          34.73,  +0.53,  -1.96
  4,     UK002D,       0,  0.254897, 2459442.605202726088,  16.42740, -21.21636,              164.82650,  16.14050,       164.82907,       16.14184,     16.42740,     -21.21636,      16.42561,      -21.21548,  4272470.29,   137355.42,  4844425.51,      48.763160,       -0.742296,   94616.64,  314482.98,    9518.19,            14564.33,   -73.46,  56833.79,           59425.85,    -12.44,     -9.06,          10.09,  +0.67,  -1.82
  5,     UK002D,       0,  0.295249, 2459442.605203193147,  16.27903, -21.64087,              165.04492,  15.74658,       165.05166,       15.75008,     16.27903,     -21.64087,      16.27274,      -21.63855,  4271789.35,   136353.61,  4842299.67,      48.755490,       -0.755595,   92548.20,  314385.86,   11964.92,            17011.06,   -28.99,  60634.69,           59461.05,    -32.67,    -23.81,          26.52,  +0.52,  -1.97
  0,     UK002N,       1,  0.000000, 2459442.605199777987,   2.86640, -18.74596,              178.98089,  19.98531,       179.00226,       19.99423,      2.86640,     -18.74596,       2.84508,      -18.73728,  4276538.47,   143340.60,  4857125.95,      48.808852,       -0.662881,  106979.35,  295325.04,       0.00,               53.26,   590.16,      0.00,           55372.91,    -74.49,    -85.32,          79.11,  +4.03,  +1.68
  1,     UK002N,       0,  0.040296, 2459442.605200244579,   2.63672, -19.16354,              179.21633,  19.57002,       179.20654,       19.56594,      2.63672,     -19.16354,       2.64670,      -19.16753,  4275866.44,   142351.90,  4855027.96,      48.801320,       -0.675982,  104936.54,  295326.59,    2414.69,             2361.43,   499.40,  59923.76,           55372.91,     34.18,     39.20,          36.32,  +1.70,  -0.65
  2,     UK002N,       0,  0.080568, 2459442.605200710706,   2.49469, -19.52362,              179.36154,  19.21105,       179.37310,       19.21586,      2.49469,     -19.52362,       2.48341,      -19.51889,  4275317.38,   141544.11,  4853313.83,      48.795161,       -0.686719,  103267.68,  295342.55,    4387.56,             4334.31,    74.78,  48988.76,           55372.91,    -40.43,    -46.33,          42.95,  +0.80,  -1.55
  3,     UK002N,       0,  0.120872, 2459442.605201176833,   2.27981, -19.94251,              179.57818,  18.79342,       179.57344,       18.79144,      2.27981,     -19.94251,       2.28510,      -19.94446,  4274651.91,   140565.06,  4851236.30,      48.787691,       -0.699701,  101245.22,  295379.64,    6778.70,             6725.44,    66.51,  59327.46,           55372.91,     16.60,     19.04,          17.64,  +0.17,  -2.18
  4,     UK002N,       0,  0.161160, 2459442.605201643426,   2.09802, -20.33179,              179.75984,  18.40479,       179.75597,       18.40318,      2.09802,     -20.33179,       2.10262,      -20.33340,  4274043.23,   139669.56,  4849336.08,      48.780854,       -0.711593,   99395.58,  295430.58,    8965.76,             8912.50,  -144.88,  54285.72,           55338.32,     13.61,     15.61,          14.46,  -0.27,  -2.62
  5,     UK002N,       0,  0.201504, 2459442.605202110019,   1.90834, -20.79008,              179.94759,  17.94681,       179.96548,       17.95425,      1.90834,     -20.79008,       1.89097,      -20.78264,  4273339.49,   138634.21,  4847139.08,      48.772942,       -0.725321,   97257.31,  295509.71,   11494.40,            11441.14,   -18.03,  62676.93,           56378.29,    -62.99,    -72.19,          66.87,  -0.33,  -2.68
  6,     UK002N,       0,  0.241816, 2459442.605202576611,   1.69748, -21.21847,              180.15399,  17.51830,       180.16568,       17.52316,      1.69748,     -21.21847,       1.68654,      -21.21359,  4272663.65,   137639.89,  4845029.15,      48.765337,       -0.738515,   95204.03,  295606.13,   13922.82,            13869.56,    10.51,  60240.61,           57163.49,    -41.23,    -47.27,          43.77,  -0.46,  -2.81
  0,     UK0038,       0,  0.059167, 2459442.605200459715,  24.12949, -18.53403,              156.28690,  17.02940,       156.25451,       17.01113,     24.12949,     -18.53403,      24.16634,      -18.54344,  4275604.95,   141967.19,  4854211.62,      48.798387,       -0.681093,  104141.74,  329233.31,       0.00,             3301.00,   315.56,      0.00,           58169.57,    179.13,    103.03,         129.47,  +2.28,  -0.31
  1,     UK0038,       0,  0.099427, 2459442.605200925376,  24.07279, -18.88328,              156.43749,  16.70677,       156.44252,       16.70961,     24.07279,     -18.88328,      24.06750,      -18.88181,  4275040.81,   141137.22,  4852450.42,      48.792057,       -0.692121,  102427.12,  328984.95,    2027.05,             5328.05,   -54.18,  50348.92,           58169.57,    -27.85,    -15.99,          20.13,  +1.57,  -1.02
  2,     UK0038,       0,  0.139715, 2459442.605201391969,  23.92090, -19.29495,              156.69479,  16.34728,       156.67417,       16.33567,     23.92090,     -19.29495,      23.94493,      -19.30098,  4274342.88,   140110.41,  4850271.55,      48.784221,       -0.705730,  100306.12,  328695.85,    4534.83,             7835.83,    55.15,  62246.28,           58169.57,    114.07,     65.59,          82.57,  +1.28,  -1.30
  3,     UK0038,       0,  0.180015, 2459442.605201858096,  23.82027, -19.70847,              156.90247,  15.97285,       156.89915,       15.97098,     23.82027,     -19.70847,      23.82481,      -19.70944,  4273663.80,   139111.34,  4848151.53,      48.776589,       -0.718981,   98242.67,  328432.65,    6974.85,            10275.86,    96.01,  60546.58,           58169.57,     18.37,     10.55,          13.30,  +0.81,  -1.77
  4,     UK0038,       0,  0.220271, 2459442.605202324223,  23.70711, -20.07197,              157.10729,  15.64939,       157.09964,       15.64508,     23.70711,     -20.07197,      23.71679,      -20.07423,  4273058.16,   138220.30,  4846260.77,      48.769777,       -0.730820,   96402.55,  328212.62,    9151.02,            12452.03,  -124.37,  54058.29,           57721.48,     42.39,     24.36,          30.73,  +0.60,  -1.98
  5,     UK0038,       0,  0.260551, 2459442.605202790350,  23.58321, -20.47097,              157.33051,  15.29383,       157.31871,       15.28720,     23.58321,     -20.47097,      23.59785,      -20.47446,  4272394.40,   137243.77,  4844188.58,      48.762306,       -0.743783,   94386.09,  327988.38,   11536.02,            14837.02,  -137.35,  59210.34,           57806.12,     65.34,     37.56,          47.40,  +0.57,  -2.01
  6,     UK0038,       0,  0.300827, 2459442.605203256477,  23.48602, -20.85589,              157.52370,  14.94505,       157.52650,       14.94662,     23.48602,     -20.85589,      23.48405,      -20.85506,  4271763.90,   136316.16,  4842220.22,      48.755203,       -0.756109,   92470.88,  327791.14,   13801.51,            17102.51,  -269.60,  56249.16,           57669.54,    -15.48,     -8.89,          11.23,  +0.75,  -1.83

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.