Orbital Analysis for matched events on 20211103_035934.480_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 91.17° Bg 5.51° Vg 62.06km/s
mass 0.01051g, abs. mag 0.2
best visual mag 1.7
Path Details
------------
start -1.62° 53.94° 105.79km
end   -1.60° 53.97° 97.56km

Orbit Details
-------------
Semimajor axis -6.52A.U., eccentricity 1.03, inclination 161.34°, Period nanY, LA Sun 220.65°, 

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: 2459521.666371302214
Time: 2021-11-03 03:59:34.520825 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK003X
 Convergence angle = 70.33747 deg
 R.A. =  94.87416  Dec = +28.63293 deg

Best intersection: Stations UK002X and UK003X with Qconv = 70.34 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -723893.76 +/- 164.41 m
 Y =   3757238.41 +/- 199.86 m
 Z =   5219320.88 +/- 58.94 m
 Vx =    -1656.85 +/- 1400.49 m/s
 Vy =    55043.76 +/- 594.82 m/s
 Vz =    30697.70 +/- 793.37 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK002X: 0.000000 s
    UK003X: -0.001005 s

Reference point on the trajectory:
  Time: 2021-11-03 03:59:34.520825 UTC
  Lon     = +-1.625101 +/- 0.0019 deg
  Lat     = +53.934758 +/- 0.0014 deg
  Lat geo = +53.754472 +/- 0.0014 deg
  Ht      =  107389.91 +/- 168.01 m

  JD dynamic   = 2459521.667172509711 
  LST apparent = 100.9053475764 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  91.72411 +/- 1.4391 deg
  Dec       = +29.13721 +/- 0.6134 deg
  Azimuth   = 198.75824 +/- 3.0095 deg
  Elevation = +64.31727 +/- 0.4709 deg
  Vavg      =  55.78570 +/- 0.7895 km/s
  Vinit     =  63.04688 +/- 0.4079 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  92.01093 +/- 1.4391 deg
  Dec       = +29.15662 +/- 0.6134 deg
  Azimuth   = 198.20242 +/- 3.0095 deg
  Elevation = +64.38975 +/- 0.4709 deg
  Vavg      =  55.74742 +/- 0.7895 km/s
  Vinit     =  63.00860 +/- 0.4079 km/s
Radiant (geocentric, J2000):
  R.A.   =  91.32598 +/- 1.4673 deg
  Dec    = +28.94118 +/- 0.6124 deg
  Vg     =  62.06230 +/- 0.4143 km/s
  Vinf   =  63.04688 +/- 0.4079 km/s
  Zc     =  25.51208 +/- 0.4641 deg
  Zg     =  25.71624 +/- 0.4665 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  91.16575 +/- 1.3139 deg
  Bg     =  +5.50886 +/- 0.5814 deg
  Vh     =  43.86884 +/- 0.4080 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  64.60579 +/- 1.9525 deg
  Bh     =  +7.80579 +/- 0.7774 deg
  Vh_x   = -18.63856 +/- 1.4517 km/s
  Vh_y   = -39.26296 +/- 0.3596 km/s
  Vh_z   =  -5.95808 +/- 0.6112 km/s
Orbit:
  La Sun = 220.652939 +/- 0.0000 deg
  a      =  -6.518680 +/- 1154.9295 AU
  e      =   1.029091 +/- 0.0077
  i      = 161.339249 +/- 2.3563 deg
  peri   = 306.504377 +/- 2.9536 deg
  node   = 220.657107 +/- 0.0006 deg
  Pi     = 167.161483 +/- 2.9532 deg
  q      =   0.189633 +/- 0.0238 AU
  f      = 233.498128 +/- 2.9541 deg
  M      =        nan +/- nan deg
  Q      = -13.226994 +/- 2309.8605 AU
  n      =   0.059220 +/- 0.0150 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -1.313596 +/- 0.1831
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

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: UK002X
  Avg. res. = 3.327e-05 s
  Stddev    = 5.77e-03 s

Begin point on the trajectory:
  Lon =    -1.621400 +/- 0.0014 deg
  Lat =    53.941188 +/- 0.0010 deg
  Ht  = 105792.18 +/- 107.34 m
End point on the trajectory:
  Lon =    -1.602965 +/- 0.0017 deg
  Lat =    53.974351 +/- 0.0012 deg
  Ht  = 97564.90 +/- 116.49 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
    UK002X,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   105792.18,    97564.90,          0.011450,     35.88,      6.28,              40.33, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20211103_035927_258_0968960.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,   105232.31,    99222.29,          0.030887,     74.41,    130.69,              92.36, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20211103_035931_894_0965376.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,     UK002X,       1,  0.000000, 2459521.666371302214, 130.72799,   5.69060,              141.09917,  34.69398,       141.15537,       34.66556,    130.72799,      +5.69060,     130.69504,       +5.64739,  -723894.85,  3757274.48,  5219341.00,      53.934608,       -1.625019,  107427.14,  185675.23,       0.00,               41.31,  1333.63,      0.00,           55597.62,     30.52,    173.14,         195.30,  +6.01,  +4.67
  1,     UK002X,       0,  0.040308, 2459521.666371768806, 131.01533,   5.42794,              140.89137,  34.34547,       140.91212,       34.33500,    131.01533,      +5.42794,     131.00328,       +5.41196,  -723847.17,  3755690.53,  5218457.63,      53.941188,       -1.621400,  105792.18,  184360.90,    1814.24,             1772.93,   523.95,  45009.55,           55597.62,     11.16,     63.65,          72.30,  +2.83,  +1.50
  2,     UK002X,       0,  0.080716, 2459521.666372236330, 131.42204,   5.09709,              140.58155,  33.88973,       140.58572,       33.88763,    131.42204,      +5.09709,     131.41991,       +5.09387,  -723783.87,  3753587.59,  5217284.83,      53.949928,       -1.616535,  103621.64,  182630.94,    4222.95,             4181.63,   385.06,  59609.50,           55597.62,      2.22,     12.71,          14.57,  +1.78,  +0.47
  3,     UK002X,       0,  0.121132, 2459521.666372704320, 131.85085,   4.76101,              140.25222,  33.42034,       140.24987,       33.42153,    131.85085,      +4.76101,     131.85276,       +4.76283,  -723719.29,  3751442.18,  5216088.34,      53.958851,       -1.611563,  101407.42,  180882.13,    6680.29,             6638.98,   294.30,  60801.23,           55597.62,     -1.25,     -7.15,           8.27,  +1.68,  +0.39
  4,     UK002X,       0,  0.161492, 2459521.666373171378, 132.21974,   4.46752,              139.97322,  33.01187,       139.96239,       33.01730,    132.21974,      +4.46752,     132.22686,       +4.47593,  -723664.35,  3749616.87,  5215070.38,      53.966447,       -1.607354,   99523.69,  179406.43,    8770.98,             8729.67,  -159.58,  51801.21,           55492.96,     -5.70,    -32.64,          38.10,  +1.86,  +0.59
  5,     UK002X,       0,  0.201864, 2459521.666373638436, 132.62804,   4.18098,              139.65001,  32.59466,       139.66111,       32.58910,    132.62804,      +4.18098,     132.62226,       +4.17234,  -723607.21,  3747718.71,  5214011.78,      53.974351,       -1.602965,   97564.90,  177885.10,   10945.13,            10903.82,  -530.76,  53852.89,           55228.81,      5.82,     33.28,          39.18,  +2.36,  +1.11
  6,     UK002X,       1,  0.242256, 2459521.666374105960, 133.05662,   3.87081,              139.31769,  32.14723,       139.34440,       32.13387,    133.05662,      +3.87081,     133.04163,       +3.84995,  -723547.63,  3745739.18,  5212907.80,      53.982599,       -1.598376,   95522.27,  176313.34,   13212.48,            13171.17,  -810.00,  56133.58,           55231.44,     13.96,     79.62,          94.57,  +5.93,  +4.70
  0,     UK003X,       0,  0.043111, 2459521.666371811181, 260.41143,  58.11936,               11.02314,  20.98236,        10.96705,       20.97952,    260.41143,     +58.11936,     260.50947,      +58.12831,  -723830.84,  3755148.11,  5218155.13,      53.943442,       -1.620117,  105232.31,  278929.31,       0.00,             2394.22,   968.51,      0.00,           55932.47,   -221.92,    126.27,         188.81,  +5.82,  +3.59
  1,     UK003X,       0,  0.083379, 2459521.666372277308, 260.57573,  57.81080,               11.00597,  20.66213,        10.98320,       20.66097,    260.57573,     +57.81080,     260.61557,      +57.81440,  -723789.96,  3753790.11,  5217397.78,      53.949086,       -1.617035,  103830.66,  278992.06,    1555.45,             3949.67,   -14.81,  38627.42,           55932.47,    -90.28,     51.44,          76.82,  +3.44,  +1.21
  2,     UK003X,       0,  0.123827, 2459521.666372745298, 260.82464,  57.29722,               10.98780,  20.13175,        11.01139,       20.13295,    260.82464,     +57.29722,     260.78466,      +57.29354,  -723722.18,  3751538.08,  5216141.83,      53.958452,       -1.611808,  101506.39,  279116.53,    4134.91,             6529.13,    14.53,  63772.35,           55932.47,     93.87,    -53.58,          79.87,  +2.23,  +0.00
  3,     UK003X,       0,  0.164267, 2459521.666373213287, 260.96500,  56.78371,               11.02736,  19.61392,        11.03885,       19.61451,    260.96500,     +56.78371,     260.94616,      +56.78193,  -723655.56,  3749324.80,  5214907.49,      53.967663,       -1.606668,   99222.29,  279261.96,    6670.00,             9064.22,     0.00,  62687.59,           55932.47,     45.91,    -26.20,          39.04,  +2.96,  +0.73

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.