Orbital Analysis for matched events on 20211103_053400.752_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 122.07° Bg 13.36° Vg 67.79km/s
mass 0.01720g, abs. mag -0.4
best visual mag 0.9
Path Details
------------
start -4.11° 49.26° 107.12km
end   -4.13° 49.29° 94.56km

Orbit Details
-------------
Semimajor axis 4.47A.U., eccentricity 0.79, inclination 156.00°, Period 9.45Y, LA Sun 220.72°, last Perihelion 2012-06-15

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: 2459521.731953151058
Time: 2021-11-03 05:34:00.752251 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003E and UK003K
 Convergence angle = 49.07627 deg
 R.A. = 126.15082  Dec = +30.76555 deg

Best intersection: Stations UK003E and UK003K with Qconv = 49.08 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2253147.44 +/- 55.17 m
 Y =   3592483.62 +/- 80.65 m
 Z =   4890609.80 +/- 15.18 m
 Vx =   -35719.46 +/- 271.56 m/s
 Vy =    45440.00 +/- 731.98 m/s
 Vz =    37125.80 +/- 719.22 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.813424e+03, -3.655281e+03, -2.725155e+02, +2.403825e+04, -2.697723e+04, -7.566941e+03
-3.655281e+03, +6.692704e+03, +1.719871e+02, -3.460345e+04, +4.961515e+04, +9.152289e+03
-2.725155e+02, +1.719871e+02, +2.251373e+02, -1.950948e+03, +1.486407e+03, +1.589344e+03
+2.403825e+04, -3.460345e+04, -1.950948e+03, +2.524753e+05, -3.148576e+05, -8.808172e+04
-2.697723e+04, +4.961515e+04, +1.486407e+03, -3.148576e+05, +4.698602e+05, +1.136469e+05
-7.566941e+03, +9.152289e+03, +1.589344e+03, -8.808172e+04, +1.136469e+05, +5.897624e+04

Timing offsets (from input data):
    UK003E: -0.000114 s
    UK003K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 05:34:00.752251 UTC
  Lon     = +-4.109116 +/- 0.0003 deg
  Lat     = +49.259064 +/- 0.0006 deg
  Lat geo = +49.071821 +/- 0.0006 deg
  Ht      =  107117.84 +/- 67.12 m

  JD dynamic   = 2459521.732753891964 
  LST apparent = 122.0952696255 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 128.17017 +/- 0.1637 deg
  Dec       = +32.71389 +/- 0.2774 deg
  Azimuth   = 162.42911 +/- 0.5614 deg
  Elevation = +72.84530 +/- 0.2633 deg
  Vavg      =  66.67246 +/- 0.2913 km/s
  Vinit     =  68.69497 +/- 0.8165 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 128.47481 +/- 0.1637 deg
  Dec       = +32.69877 +/- 0.2774 deg
  Azimuth   = 161.59936 +/- 0.5614 deg
  Elevation = +72.76924 +/- 0.2633 deg
  Vavg      =  66.70068 +/- 0.2913 km/s
  Vinit     =  68.72320 +/- 0.8165 km/s
Radiant (geocentric, J2000):
  R.A.   = 127.86086 +/- 0.1647 deg
  Dec    = +32.67897 +/- 0.2770 deg
  Vg     =  67.79267 +/- 0.8279 km/s
  Vinf   =  68.69497 +/- 0.8165 km/s
  Zc     =  16.97628 +/- 0.2630 deg
  Zg     =  17.08934 +/- 0.2625 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 122.07064 +/- 0.1412 deg
  Bg     = +13.35976 +/- 0.2774 deg
  Vh     =  39.87410 +/- 0.7509 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 114.31783 +/- 0.3681 deg
  Bh     = +23.13204 +/- 0.6624 deg
  Vh_x   =  15.09993 +/- 0.5155 km/s
  Vh_y   = -33.41491 +/- 0.7182 km/s
  Vh_z   = -15.66460 +/- 0.1813 km/s
Orbit:
  La Sun = 220.718633 +/- 0.0000 deg
  a      =   4.469453 +/- 0.6000 AU
  e      =   0.794952 +/- 0.0569
  i      = 155.995321 +/- 0.7104 deg
  peri   = 214.119582 +/- 2.4968 deg
  node   = 220.722745 +/- 0.0001 deg
  Pi     =  74.842327 +/- 2.4967 deg
  q      =   0.916454 +/- 0.0067 AU
  f      = 325.882620 +/- 2.4968 deg
  M      = 357.504896 +/- 1.9832 deg
  Q      =   8.022453 +/- 1.1941 AU
  n      =   0.104309 +/- 0.0565 deg/day
  T      =   9.448922 +/- 1.6086 years
  Last perihelion JD = 2456094.374261 (2012-06-15 20:58:56.187994) +/- 589.4598 days
  Tj     =   0.137229 +/- 0.3641
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.075485e-03, +3.227639e-04, -3.266454e+01, +3.162449e-06, -1.267461e-01, +3.730491e-02
q   , +3.227639e-04, +4.118688e-05, -3.233226e+00, +3.182142e-07, -1.510418e-02, +3.786241e-03
Tp  , -3.266454e+01, -3.233226e+00, +3.739061e+05, -3.646266e-02, +1.287834e+03, -4.257812e+02
node, +3.162449e-06, +3.182142e-07, -3.646266e-02, +3.903569e-09, -1.258815e-04, +4.560233e-05
peri, -1.267461e-01, -1.510418e-02, +1.287834e+03, -1.258815e-04, +5.672867e+00, -1.494637e+00
i   , +3.730491e-02, +3.786241e-03, -4.257812e+02, +4.560233e-05, -1.494637e+00, +5.334820e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000480
 a2 = 70.178144

Mean time residuals from time vs. length:
  Station with reference time: UK003K
  Avg. res. = 2.377e-06 s
  Stddev    = 1.54e-03 s

Begin point on the trajectory:
  Lon =    -4.109109 +/- 0.0003 deg
  Lat =    49.259050 +/- 0.0006 deg
  Ht  = 107123.42 +/- 53.64 m
End point on the trajectory:
  Lon =    -4.125817 +/- 0.0003 deg
  Lat =    49.291815 +/- 0.0003 deg
  Ht  = 94557.33 +/- 26.78 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
    UK003E,   False,    -1.802002,    51.351948,  130.00,  63.406603,   0.000000,   105663.85,    95123.48,          0.006398,      9.37,     32.44,              57.20, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20211103_053353_683_1108736.fits"}
    UK003K,   False,    -4.388944,    50.464439,  133.00,   0.153339,  41.678518,   107123.42,    94557.33,          0.012215,     32.25,     16.78,              33.57, 1.0000,    True,    True, {"ff_name": "FF_UK003K_20211103_053358_346_1091840.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,     UK003E,       0,  0.024872, 2459521.731953440234,  89.43381, -12.93153,              216.18879,  18.90676,       216.18531,       18.90583,     89.43381,     -12.93153,      89.43668,      -12.93364, -2252356.20,  3591477.06,  4889787.40,      49.262849,       -4.111051,  105663.85,  305793.58,       0.00,             1521.70,  -145.35,      0.00,           70773.55,     17.56,     -5.07,          12.33,  +2.00,  -0.43
  1,     UK003E,       0,  0.065272, 2459521.731953907758,  89.15159, -13.29993,              216.30982,  18.46164,       216.31880,       18.46404,     89.15159,     -13.29993,      89.14470,      -13.29448, -2250874.96,  3589592.73,  4888247.85,      49.269938,       -4.114651,  102941.98,  304332.26,    2848.68,             4370.38,   -71.95,  70511.94,           70773.55,    -45.17,     13.05,          31.87,  +1.95,  -0.47
  2,     UK003E,       0,  0.105676, 2459521.731954375282,  88.85168, -13.66110,              216.44888,  18.01661,       216.45294,       18.01770,     88.85168,     -13.66110,      88.84888,      -13.65862, -2249392.94,  3587707.39,  4886707.48,      49.277037,       -4.118257,  100218.75,  302889.94,    5698.88,             7220.57,     2.69,  70542.35,           70773.55,    -20.34,      5.88,          14.42,  +1.29,  -1.12
  3,     UK003E,       0,  0.146088, 2459521.731954843272,  88.54316, -14.02854,              216.59181,  17.56249,       216.58920,       17.56179,     88.54316,     -14.02854,      88.54586,      -14.03014, -2247893.80,  3585800.28,  4885149.31,      49.284224,       -4.121906,   97464.16,  301451.28,    8582.00,            10103.70,   109.72,  71343.24,           70773.55,     13.05,     -3.77,           9.30,  +2.12,  -0.28
  4,     UK003E,       0,  0.186440, 2459521.731955309864,  88.29203, -14.35421,              216.69610,  17.16824,       216.70576,       17.17082,     88.29203,     -14.35421,      88.28504,      -14.34827, -2246619.88,  3584179.69,  4883825.24,      49.290336,       -4.125035,   95123.48,  300246.10,   11031.97,            12553.67,  -212.29,  60714.95,           68813.75,    -48.26,     13.94,          34.51,  +2.31,  -0.08
  0,     UK003K,       0,  0.000000, 2459521.731953151058, 128.69235,  -1.77098,              171.33142,  37.43356,       171.35838,       37.43533,    128.69235,      -1.77098,     128.67086,       -1.77127, -2253150.47,  3592487.48,  4890612.95,      49.259050,       -4.109109,  107123.42,  173595.36,       0.00,                5.84,    47.36,      0.00,           68307.57,    -30.02,     57.76,          77.35,  +2.38,  +1.18
  1,     UK003K,       0,  0.040436, 2459521.731953619048, 128.67848,  -2.29706,              171.41183,  36.91122,       171.41798,       36.91162,    128.67848,      -2.29706,     128.67371,       -2.29712, -2251706.61,  3590650.69,  4889112.24,      49.265957,       -4.112620,  104470.17,  171312.38,    2776.82,             2770.98,    34.76,  68671.87,           68307.57,     -6.82,     13.09,          17.77,  +1.26,  +0.09
  2,     UK003K,       0,  0.080868, 2459521.731954087038, 128.69209,  -2.82928,              171.45790,  36.38011,       171.47756,       36.38140,    128.69209,      -2.82928,     128.67653,       -2.82949, -2250282.90,  3588839.54,  4887632.48,      49.272773,       -4.116089,  101854.05,  169075.75,    5514.85,             5509.02,    -4.68,  67719.58,           68307.57,    -21.63,     41.57,          57.16,  +1.03,  -0.11
  3,     UK003K,       0,  0.121324, 2459521.731954555493, 128.67887,  -3.38466,              171.53896,  35.82844,       171.53875,       35.82843,    128.67887,      -3.38466,     128.67955,       -3.38466, -2248837.16,  3587000.37,  4886129.82,      49.279701,       -4.119612,   99197.53,  166819.86,    8295.27,             8289.44,    -3.39,  68726.93,           68307.57,      0.23,     -0.44,           0.62,  +1.48,  +0.37
  4,     UK003K,       0,  0.161764, 2459521.731955023482, 128.68857,  -3.92627,              171.58941,  35.28830,       171.59789,       35.28886,    128.68857,      -3.92627,     128.68229,       -3.92636, -2247463.07,  3585252.33,  4884701.62,      49.286290,       -4.122972,   96672.73,  164690.58,   10937.91,            10932.07,  -138.77,  65347.14,           67737.85,     -9.22,     17.69,          24.99,  +0.86,  -0.22
  5,     UK003K,       0,  0.202140, 2459521.731955490541, 128.69359,  -4.39098,              171.63617,  34.82514,       171.64884,       34.82598,    128.69359,      -4.39098,     128.68397,       -4.39112, -2246311.75,  3583787.70,  4883504.98,      49.291815,       -4.125817,   94557.33,  162917.89,   13152.09,            13146.26,  -698.22,  54839.05,           65735.54,    -13.71,     26.33,          37.58,  +2.17,  +1.11

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.