Orbital Analysis for matched events on 20211111_213742.010_UK

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Summary for Event
-----------------
shower ID 494 DEL (December Lyncids)
Lg 105.05° Bg 34.14° Vg 57.85km/s
mass 0.00906g, abs. mag 0.4
best visual mag 1.5
Path Details
------------
start 0.49° 51.33° 106.53km
end   0.41° 51.27° 99.67km

Orbit Details
-------------
Semimajor axis -8.53A.U., eccentricity 1.07, inclination 106.21°, Period nanY, LA Sun 229.42°, 

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: 2459530.401180681307
Time: 2021-11-11 21:37:42.010865 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002C
 Convergence angle = 14.95715 deg
 R.A. = 112.30917  Dec = +56.40095 deg

Best intersection: Stations UK000F and UK002C with Qconv = 14.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3899450.80 +/- 38.29 m
 Y =   1130769.23 +/- 75.98 m
 Z =   5040283.05 +/- 19.73 m
 Vx =   -12425.22 +/- 220.10 m/s
 Vy =    29901.33 +/- 855.63 m/s
 Vz =    49207.49 +/- 879.26 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):
    UK000F: 0.000190 s
    UK002C: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-11 21:37:42.010865 UTC
  Lon     = ++0.499968 +/- 0.0009 deg
  Lat     = +51.332330 +/- 0.0003 deg
  Lat geo = +51.147556 +/- 0.0003 deg
  Ht      =  106968.54 +/- 50.64 m

  JD dynamic   = 2459530.401981422212 
  LST apparent = 16.1711899619 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 112.56487 +/- 0.9107 deg
  Dec       = +56.65375 +/- 0.3097 deg
  Azimuth   =  43.79607 +/- 0.7034 deg
  Elevation = +37.87867 +/- 0.2228 deg
  Vavg      =  55.51131 +/- 0.5441 km/s
  Vinit     =  58.90545 +/- 0.8398 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 112.50706 +/- 0.9107 deg
  Dec       = +56.41532 +/- 0.3097 deg
  Azimuth   =  44.05826 +/- 0.7034 deg
  Elevation = +37.75634 +/- 0.2228 deg
  Vavg      =  55.67356 +/- 0.5441 km/s
  Vinit     =  59.06771 +/- 0.8398 km/s
Radiant (geocentric, J2000):
  R.A.   = 112.83877 +/- 0.9343 deg
  Dec    = +56.38691 +/- 0.3000 deg
  Vg     =  57.85051 +/- 0.8543 km/s
  Vinf   =  58.90545 +/- 0.8398 km/s
  Zc     =  52.25481 +/- 0.2244 deg
  Zg     =  52.76265 +/- 0.2398 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 105.04588 +/- 0.5595 deg
  Bg     = +34.13593 +/- 0.3832 deg
  Vh     =  43.54662 +/- 0.8164 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  68.39668 +/- 0.2727 deg
  Bh     = +48.20189 +/- 0.8364 deg
  Vh_x   = -10.68607 +/- 0.2492 km/s
  Vh_y   = -26.98537 +/- 1.0201 km/s
  Vh_z   = -32.46392 +/- 0.1421 km/s
Orbit:
  La Sun = 229.420852 +/- -0.0000 deg
  a      =  -8.525594 +/- 1.5244 AU
  e      =   1.071496 +/- 0.0489
  i      = 106.210167 +/- 0.6947 deg
  peri   = 255.102317 +/- 0.4073 deg
  node   = 229.420600 +/- 0.0000 deg
  Pi     = 124.522916 +/- 0.4073 deg
  q      =   0.609547 +/- 0.0039 AU
  f      = 284.898154 +/- 0.4073 deg
  M      =        nan +/- nan deg
  Q      = -17.660736 +/- 3.0523 AU
  n      =   0.039593 +/- 0.0646 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -0.885441 +/- 0.4464
Shower association:
  IAU No.  =  494
  IAU code =  DEL

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 = 0.010039
 a2 = 50.968697

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 1.546e-05 s
  Stddev    = 3.93e-03 s

Begin point on the trajectory:
  Lon =     0.494448 +/- 0.0011 deg
  Lat =    51.328722 +/- 0.0001 deg
  Ht  = 106528.86 +/- 71.47 m
End point on the trajectory:
  Lon =     0.407401 +/- 0.0008 deg
  Lat =    51.272310 +/- 0.0003 deg
  Ht  = 99670.76 +/- 40.74 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.341299,  34.169810,   105329.66,    99670.76,          0.003144,      1.13,      9.37,              55.55, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20211111_213741_990_0421888.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   106528.86,    99886.97,          0.005279,      2.50,     17.23,              38.01, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20211111_213735_739_0415488.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,     UK000F,       1,  0.007385, 2459530.401180761866,  62.96050,  14.90782,              115.39065,  36.64866,       115.38539,       36.63936,     62.96050,     +14.90782,      62.96962,      +14.90267,  3899451.21,  1130768.25,  5040281.43,      51.332320,       +0.499924,  106967.35,  176515.50,       0.00,                1.93,  -425.27,      0.00,           62928.93,     31.23,      3.77,          36.75,  +5.55,  +4.32
  1,     UK000F,       0,  0.047837, 2459530.401181229856,  62.58944,  14.27822,              116.20608,  36.33944,       116.20596,       36.33923,     62.58944,     +14.27822,      62.58981,      +14.27811,  3900013.94,  1129414.02,  5038052.83,      51.318878,       +0.479190,  105329.66,  175029.33,    2667.82,             2669.76,  -140.29,  65950.36,           62928.93,      0.69,      0.08,           0.82,  +3.82,  +2.60
  2,     UK000F,       0,  0.088297, 2459530.401181698311,  62.19264,  13.62697,              117.05731,  36.02263,       117.05572,       36.01994,     62.19264,     +13.62697,      62.19563,      +13.62547,  3900591.46,  1128024.22,  5035765.68,      51.305073,       +0.457917,  103649.64,  173533.93,    5405.73,             5407.67,   214.31,  67669.55,           62928.93,      8.97,      1.08,          10.74,  +3.09,  +1.89
  3,     UK000F,       0,  0.128673, 2459530.401182165835,  61.88472,  13.09904,              117.72991,  35.75519,       117.73276,       35.75998,     61.88472,     +13.09904,      61.88050,      +13.10171,  3901047.64,  1126926.42,  5033959.08,      51.294160,       +0.441079,  102323.10,  172372.70,    7568.38,             7570.32,    -1.41,  53562.76,           62928.93,    -15.89,     -1.92,          19.15,  +1.68,  +0.50
  4,     UK000F,       0,  0.169057, 2459530.401182632893,  61.55047,  12.55397,              118.43698,  35.48508,       118.43626,       35.48390,     61.55047,     +12.55397,      61.55232,      +12.55331,  3901518.48,  1125793.36,  5032094.44,      51.282890,       +0.423707,  100954.39,  171194.98,    9800.51,             9802.44,  -148.12,  55272.55,           60622.05,      3.92,      0.47,           4.76,  +1.53,  +0.36
  5,     UK000F,       0,  0.209429, 2459530.401183100417,  61.24348,  12.03004,              119.09892,  35.21493,       119.10069,       35.21782,     61.24348,     +12.03004,      61.24147,      +12.03165,  3901960.19,  1124730.38,  5030345.13,      51.272310,       +0.407401,   99670.76,  170108.94,   11894.58,            11896.51,  -432.18,  51869.39,           58713.45,     -9.51,     -1.15,          11.62,  +1.93,  +0.78
  0,     UK002C,       0,  0.000000, 2459530.401180681307,  82.01121,  24.92797,               90.03097,  32.68576,        90.02805,       32.67896,     82.01121,     +24.92797,      82.01831,      +24.92473,  3899601.86,  1130405.71,  5039684.82,      51.328722,       +0.494448,  106528.86,  193282.51,       0.00,              716.13,   723.94,      0.00,           53876.60,     24.15,     -3.49,          26.04,  +4.15,  +2.72
  1,     UK002C,       0,  0.040124, 2459530.401181145571,  81.87098,  24.65056,               90.36728,  32.57200,        90.36925,       32.57655,     81.87098,     +24.65056,      81.86635,      +24.65273,  3899948.00,  1129572.72,  5038313.99,      51.320454,       +0.481630,  105521.54,  191993.19,    1640.99,             2357.13,     1.41,  40898.05,           53876.60,    -16.07,      2.33,          17.45,  +3.21,  +1.79
  2,     UK002C,       0,  0.080264, 2459530.401181610301,  81.67408,  24.30788,               90.80069,  32.44568,        90.80039,       32.44499,     81.67408,     +24.30788,      81.67512,      +24.30755,  3900380.01,  1128533.09,  5036603.11,      51.310129,       +0.465675,  104264.68,  190394.20,    3689.06,             4405.19,  -314.99,  51023.11,           53876.60,      2.43,     -0.35,           2.66,  +2.41,  +1.01
  3,     UK002C,       0,  0.120464, 2459530.401182075497,  81.40202,  23.82055,               91.40975,  32.26000,        91.40783,       32.25567,     81.40202,     +23.82055,      81.40702,      +23.81849,  3900978.83,  1127092.01,  5034231.58,      51.295807,       +0.443626,  102523.16,  188196.21,    6527.98,             7244.11,   155.93,  70619.89,           53876.60,     15.04,     -2.18,          16.66,  +1.98,  +0.61
  4,     UK002C,       0,  0.160636, 2459530.401182540227,  81.19219,  23.42209,               91.89678,  32.09934,        91.89744,       32.10081,     81.19219,     +23.42209,      81.19130,      +23.42278,  3901453.30,  1125950.21,  5032352.56,      51.284450,       +0.426122,  101143.84,  186465.06,    8777.32,             9493.46,    38.92,  55992.78,           55880.75,     -5.05,      0.73,           5.65,  +1.72,  +0.37
  5,     UK002C,       0,  0.200796, 2459530.401183004957,  80.99934,  23.05189,               92.34675,  31.94799,        92.35022,       31.95562,     80.99934,     +23.05189,      80.99217,      +23.05550,  3901885.78,  1124909.44,  5030639.81,      51.274093,       +0.410154,   99886.97,  184896.06,   10827.63,            11543.76,  -276.41,  51053.39,           55763.41,    -26.13,      3.79,          29.46,  +2.15,  +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.