Orbital Analysis for matched events on 20211103_040417.289_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 117.72° Bg -26.04° Vg 54.23km/s
mass 0.01355g, abs. mag 0.9
best visual mag 1.6
Path Details
------------
start -1.42° 50.15° 102.21km
end   -1.50° 50.34° 87.41km

Orbit Details
-------------
Semimajor axis 1.13A.U., eccentricity 0.38, inclination 126.26°, Period 1.19Y, LA Sun 220.66°, last Perihelion 2020-10-24

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: 2459521.669644558802
Time: 2021-11-03 04:04:17.330033 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK0022
 Convergence angle = 34.38026 deg
 R.A. = 115.19317  Dec =  -4.39276 deg

Best intersection: Stations UK000F and UK0022 with Qconv = 34.38 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -886235.26 +/- 19.66 m
 Y =   4066044.41 +/- 276.51 m
 Z =   4952225.67 +/- 11.09 m
 Vx =   -23297.64 +/- 116.32 m/s
 Vy =    50036.70 +/- 1100.86 m/s
 Vz =    -4242.52 +/- 7.10 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.199976e+02, +4.053741e+02, +3.800530e+01, -7.268443e+02, +6.524001e+03, -4.776711e+02
+4.053741e+02, +8.157373e+04, -2.733310e+02, -2.875349e+04, +2.819493e+05, -4.921055e+03
+3.800530e+01, -2.733310e+02, +1.317094e+02, +1.939484e+02, +3.926218e+02, +3.868657e+02
-7.268443e+02, -2.875349e+04, +1.939484e+02, +1.192143e+04, -1.154889e+05, +3.321981e+03
+6.524001e+03, +2.819493e+05, +3.926218e+02, -1.154889e+05, +1.256579e+06, -1.429501e+04
-4.776711e+02, -4.921055e+03, +3.868657e+02, +3.321981e+03, -1.429501e+04, +3.913212e+03

Timing offsets (from input data):
    UK000F: 0.002747 s
    UK0022: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 04:04:17.330033 UTC
  Lon     = +-1.416160 +/- 0.0009 deg
  Lat     = +50.145069 +/- 0.0018 deg
  Lat geo = +49.958644 +/- 0.0018 deg
  Ht      =  102966.63 +/- 172.70 m

  JD dynamic   = 2459521.670445764437 
  LST apparent = 102.2958864264 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 114.96721 +/- 0.3728 deg
  Dec       =  -4.39538 +/- 0.0907 deg
  Azimuth   = 164.63414 +/- 0.4292 deg
  Elevation = +34.37215 +/- 0.1446 deg
  Vavg      =  53.96885 +/- 0.8385 km/s
  Vinit     =  55.35748 +/- 1.0477 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 115.27417 +/- 0.3728 deg
  Dec       =  -4.39004 +/- 0.0907 deg
  Azimuth   = 164.26786 +/- 0.4292 deg
  Elevation = +34.32468 +/- 0.1446 deg
  Vavg      =  54.03602 +/- 0.8385 km/s
  Vinit     =  55.42464 +/- 1.0477 km/s
Radiant (geocentric, J2000):
  R.A.   = 114.80327 +/- 0.3797 deg
  Dec    =  -4.95292 +/- 0.1086 deg
  Vg     =  54.23294 +/- 1.0683 km/s
  Vinf   =  55.35748 +/- 1.0477 km/s
  Zc     =  55.44810 +/- 0.1449 deg
  Zg     =  56.06606 +/- 0.1666 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 117.71916 +/- 0.4335 deg
  Bg     = -26.03537 +/- 0.0570 deg
  Vh     =  31.62676 +/- 1.0324 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  97.64238 +/- 0.1271 deg
  Bh     = -48.82113 +/- 0.8118 deg
  Vh_x   =   2.76930 +/- 0.1127 km/s
  Vh_y   = -20.63847 +/- 1.0338 km/s
  Vh_z   =  23.80413 +/- 0.4543 km/s
Orbit:
  La Sun = 220.656217 +/- 0.0000 deg
  a      =   1.125605 +/- 0.1303 AU
  e      =   0.375455 +/- 0.0404
  i      = 126.261140 +/- 0.7584 deg
  peri   =  93.872884 +/- 7.5314 deg
  node   =  40.657413 +/- 0.0000 deg
  Pi     = 134.530297 +/- 7.5314 deg
  q      =   0.702991 +/- 0.0215 AU
  f      = 266.125945 +/- 7.5314 deg
  M      = 308.825843 +/- 8.8192 deg
  Q      =   1.548218 +/- 0.2398 AU
  n      =   0.825326 +/- 0.1004 deg/day
  T      =   1.194206 +/- 0.2241 years
  Last perihelion JD = 2459147.483789 (2020-10-24 23:36:39.384061) +/- 86.5480 days
  Tj     =   4.113639 +/- 0.4259
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.644841e-03, +8.604757e-04, -3.516242e+00, -8.015587e-07, -3.044783e-01, +3.085561e-02
q   , +8.604757e-04, +4.831826e-04, -1.845228e+00, -4.279565e-07, -1.682675e-01, +1.650936e-02
Tp  , -3.516242e+00, -1.845228e+00, +7.532643e+03, +1.707481e-03, +6.516092e+02, -6.572245e+01
node, -8.015587e-07, -4.279565e-07, +1.707481e-03, +3.977664e-10, +1.512088e-04, -1.532918e-05
peri, -3.044783e-01, -1.682675e-01, +6.516092e+02, +1.512088e-04, +5.885977e+01, -5.831180e+00
i   , +3.085561e-02, +1.650936e-02, -6.572245e+01, -1.532918e-05, -5.831180e+00, +5.908116e-01

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: UK0022
  Avg. res. = 1.826e-04 s
  Stddev    = 1.35e-02 s

Begin point on the trajectory:
  Lon =    -1.420206 +/- 0.0008 deg
  Lat =    50.154527 +/- 0.0016 deg
  Ht  = 102208.49 +/- 155.72 m
End point on the trajectory:
  Lon =    -1.501889 +/- 0.0006 deg
  Lat =    50.340056 +/- 0.0017 deg
  Ht  = 87406.70 +/- 165.63 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,  15.211468,   0.000000,   100388.65,    87406.70,          0.034832,     19.17,    125.83,              15.88, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20211103_040413_025_0979200.fits"}
    UK0022,   False,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,   102208.49,    89696.17,          0.007445,     10.55,     17.34,              26.55, 1.0000,    True,    True, {"ff_name": "FF_UK0022_20211103_040414_540_0844288.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,     UK000F,       0,  0.118383, 2459521.669645896647,  99.95382, -11.24895,              182.69513,  26.83236,       182.67453,       26.79341,     99.95382,     -11.24895,      99.97187,      -11.28842,  -884312.71,  4061915.34,  4952575.77,      50.177247,       -1.430246,  100388.65,  216144.18,       0.00,             4568.15,    -5.21,      0.00,           51904.89,    160.62,    -24.50,         155.05,  +3.80,  +2.13
  1,     UK000F,       0,  0.158447, 2459521.669646360446,  99.83335, -11.36870,              182.82332,  26.70908,       182.83316,       26.72750,     99.83335,     -11.36870,      99.82562,      -11.35002,  -883457.01,  4060077.52,  4952731.59,      50.191576,       -1.436552,   99241.90,  214194.58,    2033.24,             6601.40,  -189.81,  50749.92,           51904.89,    -75.39,     11.65,          73.46,  +3.86,  +2.21
  2,     UK000F,       0,  0.198375, 2459521.669646822382,  99.69093, -11.32940,              182.98098,  26.74391,       182.94734,       26.68032,     99.69093,     -11.32940,      99.72027,      -11.39393,  -882855.63,  4058785.95,  4952841.10,      50.201650,       -1.441036,   98436.21,  212825.55,    3462.16,             8030.31,  -971.20,  35787.34,           51904.89,    258.30,    -39.18,         253.20,  +3.66,  +2.02
  3,     UK000F,       0,  0.238423, 2459521.669647286180,  99.48593, -11.45947,              183.20080,  26.60709,       183.18615,       26.57966,     99.48593,     -11.45947,      99.49929,      -11.48735,  -881600.37,  4056090.00,  4953069.68,      50.222684,       -1.450225,   96755.24,  209970.04,    6444.78,            11012.94,  -205.54,  74476.15,           51904.89,    110.13,    -16.84,         109.45,  +2.29,  +0.68
  4,     UK000F,       0,  0.278443, 2459521.669647749513,  99.26949, -11.56042,              183.43362,  26.49848,       183.42327,       26.47918,     99.26949,     -11.56042,      99.27936,      -11.58005,  -880385.36,  4053480.50,  4953290.94,      50.243053,       -1.459137,   95129.03,  207209.56,    9331.78,            13899.93,   466.05,  72138.75,           57676.05,     76.53,    -11.72,          77.07,  +3.17,  +1.59
  5,     UK000F,       0,  0.318435, 2459521.669648212381,  99.12419, -11.60111,              183.59077,  26.45232,       183.57161,       26.41663,     99.12419,     -11.60111,      99.14158,      -11.63746,  -879647.59,  4051895.98,  4953425.29,      50.255427,       -1.464619,   94141.95,  205535.33,   11084.79,            15652.94,     5.21,  43834.15,           57347.82,    140.44,    -21.42,         142.57,  +1.86,  +0.30
  6,     UK000F,       0,  0.358499, 2459521.669648675714,  98.91885, -11.74968,              183.80829,  26.29570,       183.81698,       26.31170,     98.91885,     -11.74968,      98.91308,      -11.73336,  -878439.75,  4049301.89,  4953645.24,      50.275691,       -1.473498,   92526.72,  202796.94,   13954.73,            18522.88,   657.30,  71633.81,           58763.48,    -62.27,      9.60,          64.09,  +2.20,  +0.66
  7,     UK000F,       0,  0.398451, 2459521.669649138115,  98.79479, -11.73062,              183.94458,  26.30956,       183.92193,       26.26754,     98.79479,     -11.73062,      98.81531,      -11.77348,  -877943.04,  4048235.09,  4953735.69,      50.284027,       -1.477251,   91862.63,  201672.24,   15134.97,            19703.12,  -374.10,  29541.47,           56921.78,    162.39,    -24.73,         168.01,  +2.00,  +0.48
  8,     UK000F,       0,  0.438483, 2459521.669649601448,  98.59934, -11.83871,              184.15233,  26.19306,       184.14151,       26.17312,     98.59934,     -11.83871,      98.61014,      -11.85908,  -876900.66,  4045996.37,  4953925.50,      50.301526,       -1.484950,   90469.63,  199313.47,   17611.75,            22179.91,  -113.38,  61870.14,           56392.13,     76.28,    -11.67,          79.86,  +2.29,  +0.79
  9,     UK000F,       0,  0.478503, 2459521.669650064781,  98.43435, -11.91807,              184.32787,  26.10626,       184.32199,       26.09545,     98.43435,     -11.91807,      98.44121,      -11.92912,  -876064.32,  4044200.13,  4954077.80,      50.315572,       -1.491167,   89352.38,  197423.19,   19599.00,            24167.15,  -341.55,  49656.24,           55754.99,     40.99,     -6.28,          43.33,  +1.61,  +0.13
 10,     UK000F,       0,  0.518539, 2459521.669650528114,  98.14192, -12.06035,              184.63802,  25.95004,       184.64131,       25.95605,     98.14192,     -12.06035,      98.14136,      -12.05420,  -874606.99,  4041070.21,  4954343.18,      50.340056,       -1.501889,   87406.70,  194133.57,   23061.75,            27629.90,   904.91,  86490.90,           56805.49,    -22.44,      3.45,          24.12,  +3.49,  +2.05
  0,     UK0022,       1,  0.000000, 2459521.669644558802,  88.58278,   0.16850,              198.11456,  37.49745,       198.11332,       37.44482,     88.58278,      +0.16850,      88.57351,       +0.11669,  -886265.27,  4066108.86,  4952220.20,      50.144567,       -1.415778,  103006.89,  167036.96,       0.00,               71.30,  2051.31,      0.00,           46651.89,    130.94,     80.04,         189.51,  +6.48,  +5.37
  1,     UK0022,       0,  0.040136, 2459521.669645023532,  88.35235,   0.15269,              198.39535,  37.43677,       198.39542,       37.43915,     88.35235,      +0.15269,      88.35293,       +0.15503,  -885670.03,  4064830.47,  4952328.60,      50.154527,       -1.420206,  102208.49,  165778.16,    1414.34,             1343.03,  1101.20,  35238.58,           46651.89,     -5.88,     -3.58,           8.56,  +4.42,  +3.32
  2,     UK0022,       0,  0.080268, 2459521.669645487797,  88.02336,   0.20499,              198.81445,  37.42234,       198.81472,       37.42982,     88.02336,      +0.20499,      88.02499,       +0.21237,  -884796.64,  4062954.68,  4952487.64,      50.169145,       -1.426629,  101037.37,  163934.36,    3489.60,             3418.29,   954.86,  51710.86,           46651.89,    -18.31,    -11.13,          26.96,  +3.93,  +2.86
  3,     UK0022,       0,  0.120400, 2459521.669645952526,  87.69109,   0.26750,              199.24007,  37.41574,       199.24020,       37.41884,     87.69109,      +0.26750,      87.69213,       +0.27055,  -883929.83,  4061093.01,  4952645.49,      50.183658,       -1.433012,   99875.51,  162110.07,    5549.22,             5477.92,   792.88,  51321.37,           46651.89,     -7.49,     -4.55,          11.15,  +3.58,  +2.53
  4,     UK0022,       0,  0.160516, 2459521.669646416791,  87.37672,   0.33126,              199.64390,  37.41263,       199.64364,       37.40695,     87.37672,      +0.33126,      87.37640,       +0.32567,  -883126.00,  4059366.61,  4952791.87,      50.197121,       -1.438949,   98798.44,  160423.68,    7459.21,             7387.91,   482.15,  47611.62,           47479.33,     13.58,      8.27,          20.45,  +3.46,  +2.43
  5,     UK0022,       0,  0.200652, 2459521.669646881055,  87.03794,   0.38618,              200.07532,  37.39427,       200.07524,       37.39275,     87.03794,      +0.38618,      87.03851,       +0.38469,  -882283.56,  4057557.28,  4952945.28,      50.211235,       -1.445167,   97670.03,  158661.64,    9460.93,             9389.63,   262.04,  49873.44,           48057.87,      3.59,      2.18,           5.46,  +2.86,  +1.86
  6,     UK0022,       0,  0.240784, 2459521.669647345785,  86.68230,   0.46403,              200.53354,  37.39304,       200.53255,       37.37602,     86.68230,      +0.46403,      86.68033,       +0.44726,  -881410.13,  4055681.42,  4953104.33,      50.225873,       -1.451615,   96500.57,  156840.82,   11536.27,            11464.96,   115.77,  51712.76,           48656.12,     39.83,     24.27,          61.34,  +2.84,  +1.86
  7,     UK0022,       0,  0.280928, 2459521.669647810515,  86.32951,   0.51598,              200.98093,  37.36545,       200.98044,       37.35788,     86.32951,      +0.51598,      86.32936,       +0.50852,  -880573.92,  4053885.47,  4953256.60,      50.239892,       -1.457801,   95381.32,  155103.74,   13523.20,            13451.90,  -119.57,  49495.10,           48975.34,     17.52,     10.67,          27.28,  +2.77,  +1.82
  8,     UK0022,       0,  0.321088, 2459521.669648275245,  85.94782,   0.56809,              201.46341,  37.32975,       201.46389,       37.33645,     85.94782,      +0.56809,      85.95033,       +0.57470,  -879690.82,  4051988.83,  4953417.41,      50.254701,       -1.464330,   94199.77,  153275.75,   15621.52,            15550.21,  -244.41,  52248.98,           49342.71,    -15.34,     -9.33,          24.16,  +2.50,  +1.57
  9,     UK0022,       0,  0.361220, 2459521.669648739509,  85.59187,   0.64074,              201.91999,  37.31810,       201.91970,       37.31436,     85.59187,      +0.64074,      85.59273,       +0.63705,  -878877.28,  4050241.57,  4953565.56,      50.268349,       -1.470364,   93111.67,  151598.24,   17554.58,            17483.28,  -532.95,  48167.59,           49465.60,      8.47,      5.15,          13.49,  +2.73,  +1.83
 10,     UK0022,       0,  0.401368, 2459521.669649204239,  85.20832,   0.71335,              202.41009,  37.29811,       202.40931,       37.28871,     85.20832,      +0.71335,      85.20836,       +0.70408,  -878021.97,  4048404.61,  4953721.31,      50.282702,       -1.476705,   91968.12,  149841.14,   19586.88,            19515.57,  -723.15,  50620.09,           49585.13,     21.03,     12.80,          33.89,  +2.66,  +1.78
 11,     UK0022,       1,  0.441556, 2459521.669649669435,  84.80598,   0.73960,              202.90863,  37.22659,       202.91171,       37.26028,     84.80598,      +0.73960,      84.81365,       +0.77288,  -877164.00,  4046561.94,  4953877.55,      50.297105,       -1.483071,   90821.43,  148085.71,   21625.50,            21554.19,  -909.24,  50727.06,           49698.07,    -74.66,    -45.29,         121.63,  +2.62,  +1.77
 12,     UK0022,       0,  0.481684, 2459521.669650133699,  84.41439,   0.83913,              203.41602,  37.22666,       203.41630,       37.22956,     84.41439,      +0.83913,      84.41690,       +0.84199,  -876321.75,  4044753.02,  4954030.93,      50.311248,       -1.489329,   89696.17,  146369.69,   23626.77,            23555.46, -1129.35,  49872.20,           49772.05,     -6.33,     -3.85,          10.44,  +3.22,  +2.39

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.