Orbital Analysis for matched events on 20211103_194803.307_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 58.82° Bg 36.19° Vg 31.31km/s
mass 0.03860g, abs. mag 0.3
best visual mag 1.6
Path Details
------------
start -3.13° 49.79° 91.68km
end   -3.21° 49.75° 83.44km

Orbit Details
-------------
Semimajor axis 2.60A.U., eccentricity 0.80, inclination 39.50°, Period 4.19Y, LA Sun 221.31°, last Perihelion 2017-10-09

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: 2459522.325038278010
Time: 2021-11-03 19:48:03.307220 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003C and UK003J
 Convergence angle = 57.08348 deg
 R.A. =  42.44919  Dec = +54.32932 deg

Best intersection: Stations UK003C and UK003J with Qconv = 57.08 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3857414.45 +/- 84.26 m
 Y =  -1624062.78 +/- 51.51 m
 Z =   4917476.20 +/- 48.22 m
 Vx =    14058.68 +/- 568.79 m/s
 Vy =    12707.89 +/- 309.44 m/s
 Vz =    27293.63 +/- 652.17 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.122337e+03, +3.382897e+03, +2.795605e+03, +3.773399e+04, +1.831096e+04, +1.110471e+04
+3.382897e+03, +2.136748e+03, +1.765993e+03, +1.824490e+04, +1.040468e+04, +5.903175e+03
+2.795605e+03, +1.765993e+03, +1.926030e+03, +1.441171e+04, +7.736703e+03, +5.570942e+03
+3.773399e+04, +1.824490e+04, +1.441171e+04, +3.097176e+05, +1.425671e+05, +1.020875e+05
+1.831096e+04, +1.040468e+04, +7.736703e+03, +1.425671e+05, +8.081422e+04, +5.578637e+04
+1.110471e+04, +5.903175e+03, +5.570942e+03, +1.020875e+05, +5.578637e+04, +6.960968e+04

Timing offsets (from input data):
    UK003C: 0.000000 s
    UK003J: 0.001391 s

Reference point on the trajectory:
  Time: 2021-11-03 19:48:03.307220 UTC
  Lon     = +-3.131840 +/- 0.0011 deg
  Lat     = +49.785408 +/- 0.0003 deg
  Lat geo = +49.598255 +/- 0.0003 deg
  Ht      =   91700.23 +/- 70.63 m

  JD dynamic   = 2459522.325839018915 
  LST apparent = 337.1677553955 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  42.11098 +/- 0.5844 deg
  Dec       = +55.22641 +/- 0.6491 deg
  Azimuth   =  56.19841 +/- 1.1460 deg
  Elevation = +51.55553 +/- 0.1755 deg
  Vavg      =  32.63733 +/- 0.2113 km/s
  Vinit     =  33.22769 +/- 0.5241 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  42.49615 +/- 0.5844 deg
  Dec       = +54.83606 +/- 0.6491 deg
  Azimuth   =  56.66358 +/- 1.1460 deg
  Elevation = +51.21372 +/- 0.1755 deg
  Vavg      =  32.79604 +/- 0.2113 km/s
  Vinit     =  33.38639 +/- 0.5241 km/s
Radiant (geocentric, J2000):
  R.A.   =  43.65362 +/- 0.6577 deg
  Dec    = +54.72523 +/- 0.6466 deg
  Vg     =  31.31498 +/- 0.5547 km/s
  Vinf   =  33.22769 +/- 0.5241 km/s
  Zc     =  38.54886 +/- 0.1765 deg
  Zg     =  39.73633 +/- 0.1942 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  58.82015 +/- 0.7069 deg
  Bg     = +36.19053 +/- 0.4874 deg
  Vh     =  38.04304 +/- 0.5469 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 358.87634 +/- 0.6025 deg
  Bh     = +29.08094 +/- 0.3546 deg
  Vh_x   = -33.24071 +/- 0.5649 km/s
  Vh_y   =   0.65198 +/- 0.3572 km/s
  Vh_z   = -18.49061 +/- 0.1985 km/s
Orbit:
  La Sun = 221.312846 +/- -0.0000 deg
  a      =   2.598429 +/- 0.4924 AU
  e      =   0.799524 +/- 0.0250
  i      =  39.496329 +/- 0.3895 deg
  peri   = 273.942208 +/- 0.9252 deg
  node   = 221.311907 +/- 0.0000 deg
  Pi     = 135.254115 +/- 0.9252 deg
  q      =   0.520922 +/- 0.0031 AU
  f      = 266.057913 +/- 0.9252 deg
  M      = 349.695451 +/- 1.8395 deg
  Q      =   4.675937 +/- 0.9859 AU
  n      =   0.235309 +/- 0.0398 deg/day
  T      =   4.188582 +/- 1.3345 years
  Last perihelion JD = 2458036.211249 (2017-10-09 17:04:11.928681) +/- 488.1955 days
  Tj     =   2.657856 +/- 0.2455
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.274178e-04, -2.879368e-05, -1.173859e+01, +2.712925e-09, -2.119815e-02, +8.557325e-04
q   , -2.879368e-05, +1.103756e-05, +5.032301e-01, +3.671085e-12, -2.750997e-04, +3.374940e-06
Tp  , -1.173859e+01, +5.032301e-01, +2.228584e+05, -6.423404e-05, +4.003966e+02, -1.998635e+01
node, +2.712925e-09, +3.671085e-12, -6.423404e-05, +1.412530e-12, -1.032822e-07, +4.188226e-07
peri, -2.119815e-02, -2.750997e-04, +4.003966e+02, -1.032822e-07, +8.767032e-01, -3.295001e-02
i   , +8.557325e-04, +3.374940e-06, -1.998635e+01, +4.188226e-07, -3.295001e-02, +1.242078e-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: UK003C
  Avg. res. = 1.552e-05 s
  Stddev    = 3.94e-03 s

Begin point on the trajectory:
  Lon =    -3.131990 +/- 0.0009 deg
  Lat =    49.785343 +/- 0.0003 deg
  Ht  = 91683.60 +/- 51.31 m
End point on the trajectory:
  Lon =    -3.207871 +/- 0.0012 deg
  Lat =    49.752988 +/- 0.0004 deg
  Ht  = 83437.21 +/- 74.71 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
    UK003C,   False,    -4.949858,    50.224871,   55.00,   0.000000,   0.000000,    91683.60,    83437.21,          0.008794,     15.31,     19.41,              41.68, 1.0000,    True,    True, {"ff_name": "FF_UK003C_20211103_194758_887_0212480.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,    90905.82,    84756.97,          0.021015,     75.37,      7.58,              93.53, 1.0000,    True,    True, {"ff_name": "FF_UK003J_20211103_194800_493_0231168.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,     UK003C,       0,  0.000000, 2459522.325038278010,  29.89996,  13.30846,              109.87082,  32.54868,       109.86590,       32.54402,     29.89996,     +13.30846,      29.90627,      +13.30736,  3857405.47, -1624070.91,  4917458.75,      49.785343,       -3.131990,   91683.60,  167466.58,       0.00,               21.24,    31.54,      0.00,           33162.08,     14.32,     11.28,          22.46,  +4.13,  +3.01
  1,     UK003C,       0,  0.040124, 2459522.325038742274,  29.84895,  13.04282,              110.11153,  32.37040,       110.10716,       32.36627,     29.84895,     +13.04282,      29.85471,      +13.04184,  3856917.23, -1624512.24,  4916510.88,      49.781805,       -3.140320,   90779.82,  166614.78,    1153.95,             1175.19,  -147.73,  28759.67,           33162.08,     12.65,      9.97,          19.94,  +2.48,  +1.37
  2,     UK003C,       0,  0.080292, 2459522.325039207470,  29.79014,  12.69598,              110.41743,  32.13238,       110.41896,       32.13382,     29.79014,     +12.69598,      29.78853,      +12.69632,  3856289.67, -1625079.50,  4915292.53,      49.777254,       -3.150981,   89618.26,  165528.10,    2637.19,             2658.43,     0.82,  36925.87,           33162.08,     -4.39,     -3.45,           6.96,  +1.80,  +0.71
  3,     UK003C,       0,  0.120436, 2459522.325039671734,  29.72878,  12.38834,              110.69591,  31.92624,       110.69583,       31.92617,     29.72878,     +12.38834,      29.72937,      +12.38833,  3855736.98, -1625579.08,  4914219.54,      49.773244,       -3.160391,   88595.37,  164575.16,    3943.47,             3964.71,   -26.80,  32539.87,           33162.08,      0.21,      0.17,           0.34,  +1.57,  +0.49
  4,     UK003C,       0,  0.160600, 2459522.325040136930,  29.67389,  12.05740,              110.98410,  31.69728,       110.99051,       31.70329,     29.67389,     +12.05740,      29.66639,      +12.05883,  3855152.78, -1626107.15,  4913085.36,      49.769004,       -3.170330,   87514.26,  163573.83,    5324.23,             5345.47,    19.41,  34378.06,           33468.63,    -18.20,    -14.34,          29.22,  +1.64,  +0.57
  5,     UK003C,       0,  0.200752, 2459522.325040601660,  29.60030,  11.72238,              111.29093,  31.47567,       111.29007,       31.47487,     29.60030,     +11.72238,      29.60224,      +11.72218,  3854563.22, -1626640.07,  4911940.79,      49.764722,       -3.180360,   86423.33,  162569.14,    6717.65,             6738.90,    78.67,  34703.66,           33732.63,      2.44,      1.92,           3.93,  +1.76,  +0.70
  6,     UK003C,       0,  0.240912, 2459522.325041066390,  29.53340,  11.37545,              111.59881,  31.24001,       111.59732,       31.23862,     29.53340,     +11.37545,      29.53631,      +11.37511,  3853962.96, -1627182.65,  4910775.44,      49.760360,       -3.190571,   85312.70,  161552.43,    8136.37,             8157.61,   162.96,  35326.58,           33997.73,      4.20,      3.31,           6.82,  +2.05,  +1.01
  7,     UK003C,       0,  0.281060, 2459522.325041531119,  29.48816,  11.08239,              111.84751,  31.03377,       111.85435,       31.04013,     29.48816,     +11.08239,      29.48066,      +11.08391,  3853464.89, -1627632.86,  4909808.50,      49.756739,       -3.199073,   84391.23,  160711.89,    9313.54,             9334.78,     6.11,  29320.71,           33718.47,    -19.06,    -15.02,          31.14,  +2.84,  +1.81
  8,     UK003C,       0,  0.321180, 2459522.325041995384,  29.39941,  10.78299,              112.13938,  30.84784,       112.12211,       30.83181,     29.39941,     +10.78299,      29.42264,      +10.77915,  3852949.20, -1628099.01,  4908807.32,      49.752988,       -3.207871,   83437.21,  159846.51,   10532.39,            10553.63,  -108.14,  30380.09,           33365.81,     47.84,     37.75,          78.64,  +4.19,  +3.17
  0,     UK003J,       0,  0.026554, 2459522.325038689654, 321.96449, -11.84972,              197.31059,  25.28756,       197.33265,       25.29617,    321.96449,     -11.84972,     321.94630,      -11.83748,  3856985.29, -1624450.71,  4916643.03,      49.782298,       -3.139163,   90905.82,  206070.49,       0.00,             1014.32,   142.30,      0.00,           31678.65,      7.77,    -77.75,          78.21,  +4.30,  +2.73
  1,     UK003J,       0,  0.066838, 2459522.325039155781, 321.73624, -12.12402,              197.49482,  24.97568,       197.48953,       24.97362,    321.73624,     -12.12402,     321.74097,      -12.12697,  3856449.91, -1624934.65,  4915603.63,      49.778416,       -3.148283,   89914.85,  206170.10,    1265.39,             2279.70,    69.14,  31411.66,           31678.65,     -1.88,     18.68,          18.79,  +3.45,  +1.88
  2,     UK003J,       0,  0.107122, 2459522.325039622374, 321.53341, -12.40989,              197.64832,  24.65695,       197.64361,       24.65511,    321.53341,     -12.40989,     321.53784,      -12.41252,  3855920.98, -1625412.76,  4914576.75,      49.774579,       -3.157296,   88935.90,  206276.19,    2515.52,             3529.83,   -19.27,  31032.88,           31678.65,     -1.68,     16.70,          16.78,  +1.77,  +0.20
  3,     UK003J,       0,  0.147422, 2459522.325040088501, 321.30280, -12.70100,              197.82858,  24.32756,       197.80532,       24.31850,    321.30280,     -12.70100,     321.32295,      -12.71403,  3855361.60, -1625918.39,  4913490.78,      49.770520,       -3.166820,   87900.69,  206396.46,    3837.60,             4851.92,   -36.26,  32806.08,           31678.65,     -8.34,     82.64,          83.01,  +2.00,  +0.43
  4,     UK003J,       0,  0.187730, 2459522.325040555093, 321.12894, -13.03373,              197.93899,  23.96798,       197.96740,       23.97905,    321.12894,     -13.03373,     321.10588,      -13.01776,  3854797.11, -1626428.64,  4912394.88,      49.766421,       -3.176430,   86856.12,  206526.37,    5171.76,             6186.08,   -41.44,  33099.16,           32054.13,     10.12,   -101.22,         101.59,  +2.54,  +0.97
  5,     UK003J,       0,  0.228034, 2459522.325041021686, 320.86515, -13.32158,              198.15162,  23.63484,       198.13395,       23.62797,    320.86515,     -13.32158,     320.88103,      -13.33155,  3854212.79, -1626956.82,  4911260.47,      49.762176,       -3.186375,   85774.94,  206669.80,    6552.81,             7567.12,     0.39,  34265.75,           32477.41,     -6.37,     63.12,          63.32,  +2.45,  +0.87
  6,     UK003J,       0,  0.268326, 2459522.325041487813, 320.64184, -13.60909,              198.32057,  23.30957,       198.28994,       23.29767,    320.64184,     -13.60909,     320.66888,      -13.62642,  3853662.59, -1627454.16,  4910192.31,      49.758177,       -3.195749,   84756.97,  206813.45,    7853.21,             8867.52,   -38.01,  32274.41,           32606.80,    -11.10,    109.70,         109.97,  +3.42,  +1.84

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.