Orbital Analysis for matched events on 20210904_022734.414_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 66.00° Bg 7.95° Vg 75.06km/s
mass 0.08903g, abs. mag -2.8
Path Details
------------
start 3.26° 51.12° 109.55km
end   3.12° 51.15° 95.13km

Orbit Details
-------------
Semimajor axis -2.32A.U., eccentricity 1.42, inclination 166.85°, Period 1000000000.00Y, LA Sun 161.50°, 

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: 2459461.602481648326
Time: 2021-09-04 02:27:34.414415 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK002N
 Convergence angle = 4.32601 deg
 R.A. =  66.85015  Dec = +28.13803 deg

Best intersection: Stations UK002C and UK002N with Qconv = 4.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3739426.18 +/- 321.86 m
 Y =   1632930.06 +/- 2545.98 m
 Z =   5027272.83 +/- 521.66 m
 Vx =    30310.74 +/- 14516.46 m/s
 Vy =    58790.23 +/- 20567.01 m/s
 Vz =    37170.84 +/- 9955.21 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.515155e+04, -3.434852e+05, -6.643605e+04, +1.041495e+05, -1.369370e+06, -3.064385e+05
-3.434852e+05, +2.767376e+06, +5.393215e+05, -8.610825e+05, +1.107426e+07, +2.435956e+06
-6.643605e+04, +5.393215e+05, +1.109921e+05, -1.957615e+05, +2.241438e+06, +5.196989e+05
+1.041495e+05, -8.610825e+05, -1.957615e+05, +5.796142e+05, -5.247004e+06, -1.284639e+06
-1.369370e+06, +1.107426e+07, +2.241438e+06, -5.247004e+06, +6.615754e+07, +1.591378e+07
-3.064385e+05, +2.435956e+06, +5.196989e+05, -1.284639e+06, +1.591378e+07, +4.053881e+06

Timing offsets (from input data):
    UK002C: 0.000000 s
    UK002N: 0.002615 s

Reference point on the trajectory:
  Time: 2021-09-04 02:27:34.414415 UTC
  Lon     = ++3.261200 +/- 0.0345 deg
  Lat     = +51.120302 +/- 0.0022 deg
  Lat geo = +50.935304 +/- 0.0022 deg
  Ht      =  109551.11 +/- 863.03 m

  JD dynamic   = 2459461.603282389231 
  LST apparent = 23.5898983605 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  62.72552 +/- 11.9846 deg
  Dec       = +29.33460 +/- 2.8637 deg
  Azimuth   = 111.69306 +/- 16.7288 deg
  Elevation = +53.68915 +/- 7.9304 deg
  Vavg      =  72.18610 +/- 12.6871 km/s
  Vinit     =  75.87294 +/- 13.6863 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  62.92488 +/- 11.9846 deg
  Dec       = +29.26513 +/- 2.8637 deg
  Azimuth   = 111.55366 +/- 16.7288 deg
  Elevation = +53.52119 +/- 7.9304 deg
  Vavg      =  72.35022 +/- 12.6871 km/s
  Vinit     =  76.03707 +/- 13.6863 km/s
Radiant (geocentric, J2000):
  R.A.   =  62.54417 +/- 11.9972 deg
  Dec    = +29.12923 +/- 2.8202 deg
  Vg     =  75.05720 +/- 13.8621 km/s
  Vinf   =  75.87294 +/- 13.6863 km/s
  Zc     =  36.24282 +/- 7.9618 deg
  Zg     =  36.44551 +/- 7.9425 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  66.00485 +/- 9.4691 deg
  Bg     =  +7.94988 +/- 5.2658 deg
  Vh     =  46.26864 +/- 11.0833 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  61.88051 +/- 20.8643 deg
  Bh     = +12.96775 +/- 9.1601 deg
  Vh_x   = -21.25080 +/- 1.7980 km/s
  Vh_y   = -39.76666 +/- 17.9011 km/s
  Vh_z   = -10.38280 +/- 3.4034 km/s
Orbit:
  La Sun = 161.496721 +/- nan deg
  a      =  -2.324788 +/- 5.1641 AU
  e      =   1.424035 +/- 1.1311
  i      = 166.854082 +/- 17.5502 deg
  peri   = 195.927402 +/- 49.2933 deg
  node   = 161.489669 +/- 0.0086 deg
  Pi     = 357.417071 +/- 49.2993 deg
  q      =   0.985792 +/- 0.2562 AU
  f      = 344.063606 +/- 49.2876 deg
  M      =        nan +/- nan deg
  Q      =  -5.635368 +/- 10.3654 AU
  n      =   0.278054 +/- 2.0220 deg/day
  T      = 1000000000.000000 +/- 497317412.6646 years
  Last perihelion JD = NaN 
  Tj     =  -3.558311 +/- 6.9501
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.234002e-02, +7.626593e-03, -5.485419e+02, -1.374271e-06, -2.922090e-02, +4.272884e-03
q   , +7.626593e-03, +4.114145e-02, -5.024213e+02, -4.910447e-06, -1.138420e-01, +3.848204e-02
Tp  , -5.485419e+02, -5.024213e+02, +6.007625e+07, +7.243031e-02, +1.646846e+03, -4.076947e+02
node, -1.374271e-06, -4.910447e-06, +7.243031e-02, +6.237927e-10, +1.389574e-05, -4.704387e-06
peri, -2.922090e-02, -1.138420e-01, +1.646846e+03, +1.389574e-05, +3.214487e-01, -1.033996e-01
i   , +4.272884e-03, +3.848204e-02, -4.076947e+02, -4.704387e-06, -1.033996e-01, +4.083783e-02

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: UK002C
  Avg. res. = 1.617e-06 s
  Stddev    = 1.27e-03 s

Begin point on the trajectory:
  Lon =     3.261190 +/- 0.0343 deg
  Lat =    51.120304 +/- 0.0021 deg
  Ht  = 109550.08 +/- 833.31 m
End point on the trajectory:
  Lon =     3.121366 +/- 0.0283 deg
  Lat =    51.154939 +/- 0.0016 deg
  Ht  = 95127.38 +/- 735.39 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
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   109550.08,    95448.68,          0.011302,     65.99,     31.07,              42.56, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210904_022728_374_0635648.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   104426.77,    95127.38,          0.012900,     60.43,     24.48,              39.16, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210904_022726_736_0643584.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,     UK002C,       0,  0.000000, 2459461.602481648326,  97.09095,  10.64412,               92.18937,  15.42353,        92.19112,       15.42307,     97.09095,     +10.64412,      97.08992,      +10.64269,  3739425.67,  1632929.07,  5027272.20,      51.120304,       +3.261190,  109550.08,  373838.77,       0.00,                1.28,   755.03,      0.00,           70720.61,     -4.87,     10.34,           6.30,  +3.49,  +0.63
  1,     UK002C,       0,  0.040152, 2459461.602482113056,  97.27003,  10.54594,               92.11299,  15.23592,        92.13647,       15.22973,     97.27003,     +10.54594,      97.25638,      +10.52678,  3738560.85,  1631251.69,  5026211.66,      51.124491,       +3.244291,  107805.80,  372102.91,    2164.77,             2166.06,  -126.64,  53914.49,           70720.61,    -64.95,    138.01,          84.55,  +2.89,  +0.04
  2,     UK002C,       0,  0.080428, 2459461.602482579183,  97.52344,  10.32701,               92.05741,  14.90856,        92.04669,       14.91138,     97.52344,     +10.32701,      97.53010,      +10.33577,  3737155.89,  1628526.65,  5024488.72,      51.131293,       +3.216916,  104972.59,  369299.71,    5681.63,             5682.91,   334.36,  87318.93,           70720.61,     29.53,    -62.62,          38.67,  +3.21,  +0.37
  3,     UK002C,       0,  0.120628, 2459461.602483044378,  97.73032,  10.18278,               91.98925,  14.66793,        91.97898,       14.67063,     97.73032,     +10.18278,      97.73689,      +10.19117,  3736106.84,  1626491.93,  5023202.24,      51.136372,       +3.196412,  102857.52,  367211.87,    8307.59,             8308.87,   -89.78,  65322.29,           70720.61,     28.16,    -59.71,          37.08,  +1.45,  -1.37
  4,     UK002C,       0,  0.160868, 2459461.602483510040,  97.98384,  10.01195,               91.90174,  14.37758,        91.89710,       14.37880,     97.98384,     +10.01195,      97.98726,      +10.01575,  3734851.55,  1624057.19,  5021662.85,      51.142449,       +3.171888,  100327.12,  364725.07,   11449.79,            11451.07,    -0.71,  78086.42,           72208.57,     12.65,    -26.83,          16.77,  +1.25,  -1.56
  5,     UK002C,       0,  0.201116, 2459461.602483976167,  98.24985,   9.83650,               91.80733,  14.07581,        91.81198,       14.07458,     98.24985,      +9.83650,      98.24793,       +9.83269,  3733561.10,  1621554.25,  5020080.34,      51.148696,       +3.146654,   97726.38,  362179.65,   14680.00,            14681.28,   175.77,  80257.81,           73784.26,    -12.60,     26.74,          16.83,  +1.14,  -1.65
  6,     UK002C,       0,  0.241336, 2459461.602484441362,  98.48310,   9.67711,               91.72807,  13.80687,        91.73665,       13.80461,     98.48310,      +9.67711,      98.47902,       +9.67009,  3732430.72,  1619361.78,  5018694.12,      51.154167,       +3.124508,   95448.68,  359957.71,   17509.54,            17510.82,   -46.30,  70351.55,           73979.03,    -23.10,     49.05,          31.07,  +1.17,  -1.61
  0,     UK002N,       0,  0.091182, 2459461.602482690476,  96.10559,  14.06049,               91.49140,  19.33915,        91.48194,       19.34205,     96.10559,     +14.06049,      96.11108,      +14.06845,  3736885.19,  1628001.60,  5024156.75,      51.132604,       +3.211630,  104426.77,  296871.32,       0.00,             6360.53,   196.01,      0.00,           75047.07,     18.25,    -45.05,          33.77,  +1.65,  -0.71
  1,     UK002N,       0,  0.131362, 2459461.602483155206,  96.38084,  13.90961,               91.37819,  19.05163,        91.38181,       19.05052,     96.38084,     +13.90961,      96.37942,      +13.90655,  3735767.72,  1625834.18,  5022786.37,      51.138014,       +3.189795,  102173.87,  294556.29,    2797.21,             9157.74,   -55.36,  69616.94,           75047.07,     -6.95,     17.17,          12.97,  +0.86,  -1.49
  2,     UK002N,       0,  0.171590, 2459461.602483620867,  96.70389,  13.71603,               91.25640,  18.70148,        91.26186,       18.69981,     96.70389,     +13.71603,      96.70164,      +13.71143,  3734447.05,  1623272.63,  5021166.80,      51.144407,       +3.163994,   99511.84,  291833.35,    6103.07,            12463.60,   198.28,  82178.07,           75047.07,    -10.38,     25.66,          19.56,  +0.32,  -2.01
  3,     UK002N,       0,  0.211810, 2459461.602484086528,  96.97285,  13.52357,               91.17608,  18.38593,        91.15692,       18.39178,     96.97285,     +13.52357,      96.98417,      +13.53975,  3733306.88,  1621061.18,  5019768.58,      51.149926,       +3.141673,   97214.10,  289490.93,    8957.10,            15317.64,     0.71,  70960.58,           75047.07,     36.24,    -89.44,          68.76,  +0.03,  -2.28
  4,     UK002N,       0,  0.251994, 2459461.602484551724,  97.23329,  13.36563,               91.07885,  18.10207,        91.06047,       18.10768,     97.23329,     +13.36563,      97.24438,      +13.38116,  3732271.25,  1619052.48,  5018498.56,      51.154939,       +3.121366,   95127.38,  287370.40,   11549.46,            17909.99,  -455.81,  64512.22,           72770.52,     34.56,    -85.30,          66.06,  +3.11,  +0.82

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.