Orbital Analysis for matched events on 20210813_235312.744_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 22.50° Bg 53.88° Vg 52.95km/s
mass 0.00717g, abs. mag 0.8
Path Details
------------
start -2.97° 51.93° 99.11km
end   -3.01° 51.92° 90.73km

Orbit Details
-------------
Semimajor axis -2.82A.U., eccentricity 1.32, inclination 87.31°, Period 1000000000.00Y, LA Sun 141.14°, 

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: 2459440.495286389720
Time: 2021-08-13 23:53:12.744072 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 28.56482 deg
 R.A. = 348.24931  Dec = +54.17982 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 28.56 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2972331.22 +/- 66.53 m
 Y =  -2679973.41 +/- 15.75 m
 Z =   5076091.04 +/- 108.38 m
 Vx =    29365.95 +/- 1247.38 m/s
 Vy =    -6220.85 +/- 124.55 m/s
 Vz =    45004.95 +/- 1246.97 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):
    UK000S: 0.000000 s
    UK001Z: -0.000314 s

Reference point on the trajectory:
  Time: 2021-08-13 23:53:12.744072 UTC
  Lon     = +-2.973240 +/- 0.0005 deg
  Lat     = +51.930913 +/- 0.0009 deg
  Lat geo = +51.746810 +/- 0.0009 deg
  Ht      =   99055.77 +/- 72.45 m

  JD dynamic   = 2459440.496087130625 
  LST apparent = 317.9609080705 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 348.03936 +/- 0.1376 deg
  Dec       = +56.29731 +/- 1.1298 deg
  Azimuth   =  64.11309 +/- 3.6017 deg
  Elevation = +71.99397 +/- 0.1274 deg
  Vavg      =  53.52255 +/- 0.6983 km/s
  Vinit     =  54.09716 +/- 0.7475 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 348.51904 +/- 0.1376 deg
  Dec       = +56.16770 +/- 1.1298 deg
  Azimuth   =  64.54290 +/- 3.6017 deg
  Elevation = +71.72943 +/- 0.1274 deg
  Vavg      =  53.60444 +/- 0.6983 km/s
  Vinit     =  54.17905 +/- 0.7475 km/s
Radiant (geocentric, J2000):
  R.A.   = 348.15263 +/- 0.1387 deg
  Dec    = +56.18528 +/- 1.1428 deg
  Vg     =  52.94505 +/- 0.7647 km/s
  Vinf   =  54.09716 +/- 0.7475 km/s
  Zc     =  18.08714 +/- 0.1205 deg
  Zg     =  18.28345 +/- 0.1256 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  22.50339 +/- 1.2180 deg
  Bg     = +53.87534 +/- 0.8691 deg
  Vh     =  45.45793 +/- 0.7445 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 313.65637 +/- 0.5100 deg
  Bh     = +70.18290 +/- 1.3472 deg
  Vh_x   = -10.63876 +/- 0.3761 km/s
  Vh_y   =  11.14981 +/- 0.5792 km/s
  Vh_z   = -42.76590 +/- 1.0794 km/s
Orbit:
  La Sun = 141.144288 +/- -0.0000 deg
  a      =  -2.816031 +/- 3.3109 AU
  e      =   1.323994 +/- 0.0686
  i      =  87.311045 +/- 0.4059 deg
  peri   = 214.350603 +/- 3.5242 deg
  node   = 141.145029 +/- 0.0000 deg
  Pi     = 355.495632 +/- 3.5242 deg
  q      =   0.912378 +/- 0.0185 AU
  f      = 325.645763 +/- 3.5242 deg
  M      =        nan +/- nan deg
  Q      =  -6.544440 +/- 6.6051 AU
  n      =   0.208568 +/- 0.0492 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.788196 +/- 0.3905
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
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: UK000S
  Avg. res. = 7.749e-06 s
  Stddev    = 2.78e-03 s

Begin point on the trajectory:
  Lon =    -2.973012 +/- 0.0004 deg
  Lat =    51.930982 +/- 0.0009 deg
  Ht  = 99110.04 +/- 52.50 m
End point on the trajectory:
  Lon =    -3.008790 +/- 0.0004 deg
  Lat =    51.920444 +/- 0.0010 deg
  Ht  = 90734.35 +/- 47.27 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,  33.938981,   0.000000,    99110.04,    90734.35,          0.024340,     65.26,     34.32,              62.63, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210813_235312_169_0335104.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000425,  82.322432,    98983.31,    90899.06,          0.010602,     16.04,     23.24,              46.78, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210813_235306_605_0330752.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,     UK000S,       0,  0.000000, 2459440.495286389720, 207.54164,  59.51500,              325.60420,  33.39450,       325.61836,       33.39005,    207.54164,     +59.51500,     207.51889,      +59.52015,  2972362.20, -2679979.98,  5076138.52,      51.930982,       -2.973012,   99110.04,  176991.18,       0.00,               57.07,     0.35,      0.00,           55564.42,     18.14,    -34.55,          45.48,  +3.63,  +2.39
  1,     UK000S,       0,  0.040412, 2459440.495286857709, 207.02116,  58.97770,              325.38269,  32.82433,       325.36460,       32.83000,    207.02116,     +58.97770,     207.05016,      +58.97120,  2971213.80, -2679736.70,  5074378.52,      51.928454,       -2.981606,   97098.10,  175949.21,    2115.56,             2058.49,  -184.40,  52349.85,           55564.42,    -23.17,     44.09,          58.39,  +2.17,  +0.94
  2,     UK000S,       0,  0.080848, 2459440.495287325699, 206.55111,  58.32146,              325.05336,  32.18143,       325.07278,       32.17534,    206.55111,     +58.32146,     206.52076,      +58.32836,  2969889.14, -2679456.09,  5072348.41,      51.925535,       -2.991498,   94777.43,  174770.63,    4555.81,             4498.74,    68.38,  60348.39,           55564.42,     24.84,    -47.35,          63.10,  +1.74,  +0.53
  3,     UK000S,       0,  0.121268, 2459440.495287793223, 206.04659,  57.76679,              324.83491,  31.59444,       324.81929,       31.59933,    206.04659,     +57.76679,     206.07159,      +57.76130,  2968739.48, -2679212.54,  5070586.49,      51.923000,       -3.000110,   92763.40,  173769.87,    6673.68,             6616.61,    -0.36,  52396.67,           55564.42,    -20.00,     38.06,          51.04,  +2.09,  +0.89
  4,     UK000S,       0,  0.161696, 2459440.495288261212, 205.55056,  57.19903,              324.61359,  30.99638,       324.56420,       31.01183,    205.55056,     +57.19903,     205.62813,      +57.18185,  2967581.22, -2678967.18,  5068811.39,      51.920444,       -3.008790,   90734.35,  172782.04,    8807.40,             8750.34,   -53.67,  52778.32,           54849.89,    -63.28,    120.28,         162.25,  +3.22,  +2.03
  0,     UK001Z,       0,  0.000930, 2459440.495286397636, 141.01511,  78.51529,              359.21937,  39.40576,       359.19912,       39.41262,    141.01511,     +78.51529,     141.09514,      +78.52145,  2972289.87, -2679964.65,  5076027.66,      51.930822,       -2.973546,   98983.31,  154052.69,       0.00,               76.18,   -30.82,      0.00,           54198.81,    -37.81,     26.07,          61.49,  +2.86,  +1.92
  1,     UK001Z,       0,  0.041374, 2459440.495286865626, 142.12407,  77.95061,              358.89121,  38.85334,       358.88075,       38.85688,    142.12407,     +77.95061,     142.16420,      +77.95367,  2971034.26, -2679698.67,  5074103.38,      51.928058,       -2.982927,   96783.57,  152403.29,    2313.04,             2389.23,    94.31,  57191.24,           54198.81,    -19.45,     13.42,          31.98,  +2.04,  +1.13
  2,     UK001Z,       0,  0.081810, 2459440.495287333615, 143.05487,  77.39790,              358.59175,  38.31468,       358.57770,       38.31942,    143.05487,     +77.39790,     143.10718,      +77.40185,  2969846.94, -2679447.15,  5072283.74,      51.925442,       -2.991811,   94703.51,  150859.72,    4500.29,             4576.47,    94.09,  54091.59,           54198.81,    -26.01,     17.95,          43.22,  +1.99,  +1.10
  3,     UK001Z,       0,  0.122218, 2459440.495287801605, 143.97256,  76.86703,              358.28094,  37.80119,       358.28844,       37.79866,    143.97256,     +76.86703,     143.94616,      +76.86500,  2968720.67, -2679208.56,  5070557.67,      51.922959,       -3.000252,   92730.46,  149410.47,    6575.08,             6651.26,   -17.09,  51345.91,           54198.81,     13.82,     -9.55,          23.19,  +2.43,  +1.56
  4,     UK001Z,       0,  0.162618, 2459440.495288269129, 144.67072,  76.35426,              358.02099,  37.30460,       358.01822,       37.30554,    144.67072,     +76.35426,     144.68107,      +76.35499,  2967675.24, -2678987.10,  5068955.49,      51.920651,       -3.008102,   90899.06,  148078.66,    8500.94,             8577.12,  -276.75,  47669.89,           52605.24,     -5.09,      3.52,           8.62,  +5.22,  +4.37

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.