Orbital Analysis for matched events on 20210810_011013.966_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 289.58° Bg 60.86° Vg 19.40km/s
mass 0.06529g, abs. mag 1.0
Path Details
------------
start -1.42° 52.81° 91.85km
end   -1.33° 52.81° 83.45km

Orbit Details
-------------
Semimajor axis 3.60A.U., eccentricity 0.73, inclination 26.63°, Period 6.82Y, LA Sun 137.36°, last Perihelion 2014-11-06

Full details below
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Detailed report below graphs

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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: 2459436.548772764392
Time: 2021-08-10 01:10:13.966843 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 22.44830 deg
 R.A. = 286.10408  Dec = +40.10355 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 22.45 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3548874.86 +/- 38.02 m
 Y =  -1663844.86 +/- 38.45 m
 Z =   5130670.86 +/- 142.50 m
 Vx =     4389.42 +/- 195.43 m/s
 Vy =   -16575.70 +/- 21.88 m/s
 Vz =    14340.21 +/- 389.88 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.360593e+03, -3.522792e+02, -1.982793e+03, +4.182491e+03, -4.023241e+03, -7.688744e+02
-3.522792e+02, +1.530447e+03, +1.503550e+01, +1.180644e+03, +1.171145e+03, +2.186156e+03
-1.982793e+03, +1.503550e+01, +1.586900e+04, -8.185308e+03, +2.276722e+04, +1.130636e+04
+4.182491e+03, +1.180644e+03, -8.185308e+03, +2.693905e+04, -2.879495e+04, -3.936928e+03
-4.023241e+03, +1.171145e+03, +2.276722e+04, -2.879495e+04, +6.268550e+04, +9.153364e+03
-7.688744e+02, +2.186156e+03, +1.130636e+04, -3.936928e+03, +9.153364e+03, +4.506773e+04

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK002Z: -0.009947 s

Reference point on the trajectory:
  Time: 2021-08-10 01:10:13.966843 UTC
  Lon     = +-1.418399 +/- 0.0005 deg
  Lat     = +52.804999 +/- 0.0010 deg
  Lat geo = +52.622147 +/- 0.0010 deg
  Ht      =   91863.87 +/- 102.80 m

  JD dynamic   = 2459436.549573505297 
  LST apparent = 334.8810650208 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 284.83208 +/- 0.3953 deg
  Dec       = +39.90601 +/- 0.8318 deg
  Azimuth   = 269.55616 +/- 1.3366 deg
  Elevation = +53.97983 +/- 0.4290 deg
  Vavg      =  21.37379 +/- 0.0943 km/s
  Vinit     =  22.35313 +/- 0.2208 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 285.45326 +/- 0.3953 deg
  Dec       = +40.26737 +/- 0.8318 deg
  Azimuth   = 269.54629 +/- 1.3366 deg
  Elevation = +54.57682 +/- 0.4290 deg
  Vavg      =  21.20692 +/- 0.0943 km/s
  Vinit     =  22.18626 +/- 0.2208 km/s
Radiant (geocentric, J2000):
  R.A.   = 281.98857 +/- 0.4484 deg
  Dec    = +38.23708 +/- 0.8709 deg
  Vg     =  19.39571 +/- 0.2531 km/s
  Vinf   =  22.35313 +/- 0.2208 km/s
  Zc     =  36.01916 +/- 0.4257 deg
  Zg     =  38.65772 +/- 0.4532 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 289.57739 +/- 0.5923 deg
  Bg     = +60.86258 +/- 0.8941 deg
  Vh     =  38.77604 +/- 0.1970 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 241.69912 +/- 0.4522 deg
  Bh     = +25.90812 +/- 0.3487 deg
  Vh_x   =  16.53614 +/- 0.1715 km/s
  Vh_y   =  30.70982 +/- 0.2968 km/s
  Vh_z   = -16.94239 +/- 0.2295 km/s
Orbit:
  La Sun = 137.355930 +/- 0.0000 deg
  a      =   3.597035 +/- 0.2459 AU
  e      =   0.734724 +/- 0.0170
  i      =  26.627309 +/- 0.3444 deg
  peri   = 210.524094 +/- 0.6990 deg
  node   = 137.364116 +/- 0.0001 deg
  Pi     = 347.888210 +/- 0.6990 deg
  q      =   0.954207 +/- 0.0032 AU
  f      = 329.467919 +/- 0.6990 deg
  M      = 356.700484 +/- 0.3022 deg
  Q      =   6.239863 +/- 0.4940 AU
  n      =   0.144473 +/- 0.0132 deg/day
  T      =   6.822092 +/- 0.7178 years
  Last perihelion JD = 2456967.575325 (2014-11-06 01:48:28.070272) +/- 262.0969 days
  Tj     =   2.455134 +/- 0.0866
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.655761e-04, -2.674943e-05, -4.060573e+00, -8.657124e-09, +6.111785e-05, +2.903946e-05
q   , -2.674943e-05, +7.120553e-06, +4.015698e-01, -6.975341e-11, -2.613202e-05, +3.847671e-07
Tp  , -4.060573e+00, +4.015698e-01, +6.234084e+04, +1.366699e-04, -9.007001e-01, -4.587258e-01
node, -8.657124e-09, -6.975341e-11, +1.366699e-04, +2.999565e-12, +2.243441e-09, -1.007848e-08
peri, +6.111785e-05, -2.613202e-05, -9.007001e-01, +2.243441e-09, +1.042608e-04, -8.211667e-06
i   , +2.903946e-05, +3.847671e-07, -4.587258e-01, -1.007848e-08, -8.211667e-06, +3.387136e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.007813
 a2 = 22.661838

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 2.834e-05 s
  Stddev    = 5.32e-03 s

Begin point on the trajectory:
  Lon =    -1.418251 +/- 0.0003 deg
  Lat =    52.805000 +/- 0.0010 deg
  Ht  = 91849.87 +/- 101.14 m
End point on the trajectory:
  Lon =    -1.330899 +/- 0.0003 deg
  Lat =    52.805386 +/- 0.0007 deg
  Ht  = 83454.48 +/- 58.92 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.050884,  18.273836,    91849.87,    83454.48,          0.023305,     54.63,      3.71,              54.38, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_011010_395_0420096.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.006438,  23.492426,    90041.18,    83866.43,          0.031166,     70.18,     24.41,              35.44, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210810_011014_637_0430336.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,     UK001L,       0,  0.000000, 2459436.548772764392, 171.49908,  78.83499,              355.81393,  41.09149,       355.78573,       41.06978,    171.49908,     +78.83499,     171.57956,      +78.80893,  3548871.46, -1663832.02,  5130659.76,      52.805000,       -1.418251,   91849.87,  138405.93,       0.00,               17.31,    55.99,      0.00,           21709.54,      4.90,     73.22,         109.36,  +3.89,  +3.18
  1,     UK001L,       0,  0.040152, 2459436.548773229122, 170.31547,  78.66120,              356.06044,  40.87034,       356.05432,       40.86564,    170.31547,     +78.66120,     170.33347,      +78.65561,  3548703.99, -1663199.62,  5130112.65,      52.805034,       -1.411087,   91160.13,  137921.72,     852.82,              870.13,    11.29,  21239.88,           21709.54,      1.07,     15.84,          23.75,  +2.51,  +1.81
  2,     UK001L,       0,  0.080284, 2459436.548773693386, 169.01416,  78.50530,              356.35073,  40.66464,       356.33363,       40.65155,    169.01416,     +78.50530,     169.06532,      +78.48991,  3548530.14, -1662543.10,  5129544.67,      52.805069,       -1.403641,   90444.10,  137422.72,    1738.18,             1755.48,    -0.44,  22061.03,           21709.54,      2.96,     44.10,          66.33,  +2.76,  +2.07
  3,     UK001L,       0,  0.120428, 2459436.548774158116, 167.80295,  78.33222,              356.62209,  40.44884,       356.60869,       40.43862,    167.80295,     +78.33222,     167.84393,      +78.32033,  3548358.99, -1661896.80,  5128985.54,      52.805103,       -1.396313,   89739.25,  136935.21,    2609.74,             2627.04,   -26.22,  21710.83,           21709.54,      2.31,     34.42,          51.97,  +3.05,  +2.37
  4,     UK001L,       0,  0.160592, 2459436.548774623312, 166.42760,  78.12618,              356.93878,  40.19810,       356.92787,       40.18981,    166.42760,     +78.12618,     166.46178,      +78.11665,  3548161.16, -1661149.75,  5128339.23,      52.805142,       -1.387814,   88924.55,  136376.29,    3617.18,             3634.49,    83.43,  25083.19,           22396.49,      1.88,     27.93,          42.33,  +2.03,  +1.36
  5,     UK001L,       0,  0.200732, 2459436.548775087576, 165.47152,  77.95077,              357.15958,  39.99439,       357.16722,       40.00018,    165.47152,     +77.95077,     165.44866,      +77.95736,  3548011.96, -1660586.30,  5127851.77,      52.805171,       -1.381443,   88310.10,  135958.17,    4377.01,             4394.32,   -53.99,  18929.68,           22097.51,     -1.32,    -19.51,          29.66,  +2.26,  +1.59
  6,     UK001L,       0,  0.240876, 2459436.548775552306, 164.26811,  77.75924,              357.45191,  39.76977,       357.45439,       39.77164,    164.26811,     +77.75924,     164.26136,      +77.76134,  3547833.81, -1659913.59,  5127269.79,      52.805205,       -1.373803,   87576.52,  135462.69,    5284.20,             5301.51,   -44.14,  22598.36,           22044.40,     -0.43,     -6.29,           9.61,  +1.71,  +1.05
  7,     UK001L,       0,  0.281036, 2459436.548776017036, 163.07999,  77.54486,              357.74577,  39.52622,       357.75309,       39.53173,    163.07999,     +77.54486,     163.05801,      +77.55097,  3547648.78, -1659214.84,  5126665.28,      52.805239,       -1.365859,   86814.60,  134952.46,    6226.49,             6243.80,     0.44,  23463.31,           22140.55,     -1.26,    -18.55,          28.42,  +1.77,  +1.12
  8,     UK001L,       0,  0.321208, 2459436.548776482232, 162.04951,  77.31621,              358.00323,  39.27525,       358.03739,       39.30089,    162.04951,     +77.31621,     161.94223,      +77.34430,  3547472.58, -1658549.47,  5126089.65,      52.805272,       -1.358301,   86089.08,  134470.85,    7123.77,             7141.08,    -0.25,  22336.05,           22198.46,     -5.88,    -86.23,         132.58,  +1.42,  +0.78
  9,     UK001L,       0,  0.361320, 2459436.548776946496, 160.89096,  77.15220,              358.31314,  39.08891,       358.30399,       39.08206,    160.89096,     +77.15220,     160.92175,      +77.14480,  3547307.20, -1657924.93,  5125549.33,      52.805302,       -1.351215,   85408.11,  134022.60,    7966.00,             7983.31,   -54.65,  20996.86,           22162.46,      1.56,     23.01,          35.50,  +1.41,  +0.77
 10,     UK001L,       0,  0.401504, 2459436.548777411226, 159.91644,  76.89729,              358.56918,  38.81835,       358.59745,       38.83944,    159.91644,     +76.89729,     159.82738,      +76.91982,  3547125.62, -1657239.23,  5124956.11,      52.805335,       -1.343417,   84660.49,  133534.72,    8890.70,             8908.01,   -28.19,  23011.66,           22181.46,     -4.83,    -70.90,         109.77,  +1.16,  +0.53
 11,     UK001L,       0,  0.441644, 2459436.548777875956, 159.14801,  76.70197,              358.77796,  38.61242,       358.82567,       38.64792,    159.14801,     +76.70197,     158.99653,      +76.73951,  3546983.61, -1656702.96,  5124492.16,      52.805360,       -1.337353,   84075.77,  133156.33,    9613.89,             9631.20,  -202.25,  18016.71,           22032.27,     -8.18,   -119.35,         185.30,  +2.28,  +1.66
 12,     UK001L,       0,  0.481732, 2459436.548778340220, 158.08337,  76.55499,              359.08295,  38.45336,       359.06865,       38.44274,    158.08337,     +76.55499,     158.13151,      +76.54391,  3546832.71, -1656133.11,  5123999.17,      52.805386,       -1.330899,   83454.48,  132757.31,   10382.36,            10399.66,  -329.88,  19169.46,           21847.89,      2.41,     35.66,          55.54,  +3.53,  +2.91
  0,     UK002Z,       0,  0.104728, 2459436.548774919473, 305.65547,   9.41259,              220.20919,  39.63768,       220.23500,       39.61334,    305.65547,      +9.41259,     305.62809,       +9.39790,  3548432.31, -1662173.66,  5129225.05,      52.805089,       -1.399799,   90041.18,  139764.76,       0.00,             2253.69,   -48.64,      0.00,           22765.55,     25.23,     72.40,         113.15,  +3.31,  +2.58
  1,     UK002Z,       0,  0.144792, 2459436.548775383271, 305.69461,   9.22566,              220.06889,  39.48041,       220.05420,       39.49421,    305.69461,      +9.22566,     305.71156,       +9.23399,  3548281.13, -1661602.76,  5128731.15,      52.805119,       -1.393344,   89418.57,  139145.63,     769.89,             3023.58,  -174.30,  19216.43,           22765.55,    -14.24,    -40.98,          64.31,  +2.30,  +1.58
  2,     UK002Z,       0,  0.184756, 2459436.548775845673, 305.89423,   9.00750,              219.72452,  39.35525,       219.77268,       39.31007,    305.89423,      +9.00750,     305.84293,       +8.98013,  3548049.46, -1660727.94,  5127974.31,      52.805164,       -1.383360,   88464.56,  138196.75,    1949.63,             4203.32,   112.12,  29520.10,           22765.55,     46.53,    133.35,         210.80,  +2.63,  +1.93
  3,     UK002Z,       0,  0.224808, 2459436.548776309006, 305.93613,   8.83837,              219.59124,  39.21498,       219.60788,       39.19942,    305.93613,      +8.83837,     305.91932,       +8.82895,  3547913.14, -1660213.15,  5127528.95,      52.805190,       -1.377553,   87903.18,  137642.24,    2643.85,             4897.54,   -88.95,  17332.89,           22765.55,     15.96,     45.85,          72.75,  +1.99,  +1.30
  4,     UK002Z,       0,  0.264856, 2459436.548776772805, 306.03196,   8.60163,              219.36177,  39.03242,       219.35981,       39.03425,    306.03196,      +8.60163,     306.03553,       +8.60274,  3547711.08, -1659450.10,  5126868.81,      52.805228,       -1.368863,   87071.12,  136819.92,    3672.86,             5926.55,    44.86,  25694.52,           23033.06,     -1.86,     -5.35,           8.54,  +2.16,  +1.48
  5,     UK002Z,       0,  0.304860, 2459436.548777235672, 306.15521,   8.41564,              219.12582,  38.90673,       219.14465,       38.88924,    306.15521,      +8.41564,     306.13641,       +8.40502,  3547536.49, -1658790.79,  5126298.42,      52.805260,       -1.361375,   86352.22,  136112.30,    4561.96,             6815.65,    39.75,  22225.36,           22994.13,     17.81,     51.20,          82.14,  +1.74,  +1.07
  6,     UK002Z,       0,  0.344876, 2459436.548777699005, 306.27680,   8.20155,              218.87895,  38.75400,       218.90675,       38.72825,    306.27680,      +8.20155,     306.24849,       +8.18588,  3547345.08, -1658067.98,  5125673.09,      52.805295,       -1.353148,   85564.10,  135338.36,    5536.71,             7790.40,   120.01,  24358.90,           23126.42,     26.14,     75.09,         121.17,  +1.68,  +1.02
  7,     UK002Z,       0,  0.384932, 2459436.548778162338, 306.33094,   8.01014,              218.72311,  38.59681,       218.71986,       38.59981,    306.33094,      +8.01014,     306.33641,       +8.01197,  3547194.80, -1657500.47,  5125182.12,      52.805322,       -1.346723,   84945.32,  134733.61,    6302.02,             8555.71,   -10.05,  19106.04,           22846.23,     -3.03,     -8.74,          14.16,  +2.22,  +1.57
  8,     UK002Z,       0,  0.424968, 2459436.548778625671, 306.41579,   7.81468,              218.52994,  38.44706,       218.51638,       38.45953,    306.41579,      +7.81468,     306.43255,       +7.82229,  3547032.40, -1656887.22,  5124651.58,      52.805351,       -1.339765,   84276.69,  134081.44,    7129.02,             9382.71,   -77.98,  20656.37,           22569.46,    -12.56,    -36.21,          58.96,  +3.22,  +2.58
  9,     UK002Z,       0,  0.465012, 2459436.548779089469, 306.44223,   7.68113,              218.43534,  38.33293,       218.39288,       38.37188,    306.44223,      +7.68113,     306.49034,       +7.70487,  3546932.77, -1656510.99,  5124326.09,      52.805369,       -1.335561,   83866.43,  133684.30,    7636.38,             9890.07,  -465.73,  12670.12,           21888.36,    -39.12,   -112.99,         184.49,  +4.21,  +3.58
 10,     UK002Z,       1,  0.504964, 2459436.548779551871, 306.56148,   7.60533,              218.25956,  38.30654,       218.27796,       38.28966,    306.56148,      +7.60533,     306.54408,       +7.59501,  3546840.11, -1656161.09,  5124023.37,      52.805385,       -1.331661,   83484.86,  133315.91,    8108.24,            10361.93,  -886.92,  11810.71,           21059.84,     16.97,     48.82,          79.97,  +6.23,  +5.61

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.