Orbital Analysis for matched events on 20210816_225128.063_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 51.01° Bg 24.37° Vg 71.34km/s
mass 0.00932g, abs. mag 0.4
Path Details
------------
start 1.53° 53.98° 112.28km
end   1.32° 53.91° 101.87km

Orbit Details
-------------
Semimajor axis -2.29A.U., eccentricity 1.44, inclination 140.33°, Period 1000000000.00Y, LA Sun 143.99°, 

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: 2459443.452408141457
Time: 2021-08-16 22:51:28.098022 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK002K
 Convergence angle = 77.15284 deg
 R.A. =  40.17365  Dec = +41.51120 deg

Best intersection: Stations UK0026 and UK002K with Qconv = 77.15 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2456955.94 +/- 138.75 m
 Y =  -2931554.11 +/- 100.60 m
 Z =   5227476.20 +/- 140.56 m
 Vx =    41154.39 +/- 620.51 m/s
 Vy =    34853.06 +/- 495.40 m/s
 Vz =    48003.09 +/- 676.92 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):
    UK0026: -0.001024 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 22:51:28.098022 UTC
  Lon     = ++1.553794 +/- 0.0025 deg
  Lat     = +53.986672 +/- 0.0007 deg
  Lat geo = +53.806653 +/- 0.0007 deg
  Ht      =  113205.03 +/- 120.24 m

  JD dynamic   = 2459443.453209282830 
  LST apparent = 309.9666080080 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  40.26078 +/- 0.1195 deg
  Dec       = +41.67240 +/- 0.0986 deg
  Azimuth   =  62.18757 +/- 0.1401 deg
  Elevation = +32.38094 +/- 0.0631 deg
  Vavg      =  66.97950 +/- 0.2096 km/s
  Vinit     =  72.19914 +/- 0.8782 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  40.25927 +/- 0.1195 deg
  Dec       = +41.52566 +/- 0.0986 deg
  Azimuth   =  62.30937 +/- 0.1401 deg
  Elevation = +32.27633 +/- 0.0631 deg
  Vavg      =  67.18807 +/- 0.2096 km/s
  Vinit     =  72.40772 +/- 0.8782 km/s
Radiant (geocentric, J2000):
  R.A.   =  40.26616 +/- 0.1169 deg
  Dec    = +41.31042 +/- 0.1028 deg
  Vg     =  71.34175 +/- 0.8888 km/s
  Vinf   =  72.19914 +/- 0.8782 km/s
  Zc     =  57.70320 +/- 0.0630 deg
  Zg     =  58.08029 +/- 0.0667 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  51.00846 +/- 0.1155 deg
  Bg     = +24.36616 +/- 0.0850 deg
  Vh     =  46.25596 +/- 0.8710 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  48.01295 +/- 0.2482 deg
  Bh     = +39.51746 +/- 0.2368 deg
  Vh_x   = -23.87078 +/- 0.4680 km/s
  Vh_y   = -26.52323 +/- 0.6446 km/s
  Vh_z   = -29.43329 +/- 0.4287 km/s
Orbit:
  La Sun = 143.985561 +/- 0.0000 deg
  a      =  -2.290870 +/- 0.6149 AU
  e      =   1.439551 +/- 0.0912
  i      = 140.329590 +/- 0.2435 deg
  peri   = 187.799222 +/- 0.4898 deg
  node   = 143.981445 +/- 0.0000 deg
  Pi     = 331.780666 +/- 0.4899 deg
  q      =   1.006955 +/- 0.0006 AU
  f      = 352.194967 +/- 0.4898 deg
  M      =        nan +/- nan deg
  Q      =  -5.588694 +/- 1.2293 AU
  n      =   0.284252 +/- 0.0866 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -3.329408 +/- 0.4944
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 = 11.299045
 a2 = 15.096770

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 2.048e-05 s
  Stddev    = 4.53e-03 s

Begin point on the trajectory:
  Lon =     1.534536 +/- 0.0007 deg
  Lat =    53.980683 +/- 0.0005 deg
  Ht  = 112283.37 +/- 49.17 m
End point on the trajectory:
  Lon =     1.315339 +/- 0.0012 deg
  Lat =    53.912546 +/- 0.0002 deg
  Ht  = 101872.06 +/- 63.50 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
    UK0026,   False,    -0.023645,    52.984073,    6.00,   6.914569,  17.001792,   112283.37,   102223.32,          0.005822,     18.52,      3.45,              15.98, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210816_225123_560_0253184.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,  12.563317,  14.529837,   111846.72,   101872.06,          0.011572,     22.93,     25.40,               9.45, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210816_225123_805_0247552.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,     UK0026,       0,  0.033595, 2459443.452408541925,  51.64335,  55.73285,               42.38016,  35.60206,        42.37740,       35.59087,     51.64335,     +55.73285,      51.66058,      +55.72671,  2455974.83, -2932385.00,  5226331.82,      53.980683,       +1.534536,  112283.37,  189763.70,       0.00,             1721.21,    -2.50,      0.00,           73102.22,      6.94,     37.15,          41.08,  +3.17,  +1.78
  1,     UK0026,       0,  0.073623, 2459443.452409005258,  51.91734,  55.95470,               42.05228,  35.64507,        42.05204,       35.64408,     51.91734,     +55.95470,      51.91916,      +55.95415,  2454163.45, -2933919.03,  5224219.00,      53.969612,       +1.498813,  110582.60,  186703.31,    3177.79,             4899.00,   285.30,  79389.15,           73102.22,      0.60,      3.23,           3.63,  +2.00,  +0.64
  2,     UK0026,       0,  0.113647, 2459443.452409468591,  52.13689,  56.13104,               41.79126,  35.67911,        41.79289,       35.68600,     52.13689,     +56.13104,      52.12682,      +56.13486,  2452767.38, -2935101.34,  5222590.60,      53.961069,       +1.471243,  109272.51,  184346.09,    5626.98,             7348.20,  -155.20,  61193.16,           73102.22,     -4.12,    -22.18,          25.24,  +1.87,  +0.54
  3,     UK0026,       0,  0.153659, 2459443.452409931924,  52.41439,  56.38618,               41.43330,  35.74528,        41.43274,       35.74292,     52.41439,     +56.38618,      52.41867,      +56.38486,  2450881.29, -2936698.64,  5220390.64,      53.949512,       +1.434054,  107503.63,  181167.85,    8935.85,            10657.06,   264.83,  82696.78,           73102.22,      1.39,      7.48,           8.66,  +1.88,  +0.59
  4,     UK0026,       0,  0.193683, 2459443.452410394792,  52.65159,  56.57629,               41.15263,  35.78309,        41.15341,       35.78651,     52.65159,     +56.57629,      52.64712,      +56.57821,  2449468.44, -2937895.16,  5218742.68,      53.940842,       +1.406155,  106179.35,  178788.87,   11414.47,            13135.68,  -146.25,  61928.33,           71429.57,     -1.99,    -10.69,          12.54,  +2.77,  +1.51
  5,     UK0026,       0,  0.233699, 2459443.452410858124,  52.88531,  56.76950,               40.87129,  35.82502,        40.87235,       35.82969,     52.88531,     +56.76950,      52.87908,      +56.77213,  2448085.63, -2939066.24,  5217129.74,      53.932348,       +1.378846,  104883.85,  176463.20,   13840.41,            15561.62,  -609.43,  60624.23,           69408.25,     -2.68,    -14.37,          17.09,  +4.08,  +2.85
  6,     UK0026,       0,  0.313727, 2459443.452411784325,  53.37602,  57.18778,               40.27086,  35.92380,        40.26999,       35.91981,     53.37602,     +57.18778,      53.38353,      +57.18551,  2445243.64, -2941473.09,  5213814.80,      53.914860,       +1.322729,  102223.32,  171693.20,   18826.25,            20547.46, -1401.54,  62301.24,           67090.02,      2.23,     11.94,          14.60,  +3.45,  +2.28
  0,     UK002K,       1,  0.000000, 2459443.452408141457,  27.49252,  42.54945,               67.93874,  38.60291,        67.85287,       38.66042,     27.49252,     +42.54945,      27.49457,      +42.63780,  2457002.36, -2931514.80,  5227530.34,      53.986955,       +1.554849,  113248.64,  178824.44,       0.00,               81.43,   783.26,      0.00,           65986.06,    203.76,   -185.82,         318.08,  +6.72,  +5.46
  1,     UK002K,       0,  0.039900, 2459443.452408603393,  27.30204,  42.62874,               67.98193,  38.76044,        67.96725,       38.77012,     27.30204,     +42.62874,      27.30266,      +42.64373,  2455509.89, -2932778.75,  5225789.51,      53.977843,       +1.525387,  111846.72,  176234.60,    2618.31,             2536.88,   357.97,  65621.79,           65986.06,     34.21,    -30.92,          53.97,  +2.36,  +1.13
  2,     UK002K,       0,  0.079848, 2459443.452409065794,  27.13189,  42.65650,               68.06163,  38.87259,        68.06895,       38.86779,     27.13189,     +42.65650,      27.13199,      +42.64906,  2454219.55, -2933871.51,  5224284.44,      53.969956,       +1.499892,  110635.26,  173995.31,    4882.00,             4800.57,  -262.55,  56665.99,           65986.06,    -16.80,     15.14,          26.81,  +2.42,  +1.22
  3,     UK002K,       0,  0.119820, 2459443.452409528196,  26.88653,  42.63593,               68.23495,  38.99432,        68.21596,       39.00686,     26.88653,     +42.63593,      26.88751,      +42.65529,  2452424.92, -2935391.36,  5222191.15,      53.958972,       +1.464499,  108951.24,  170885.39,    8030.42,             7948.99,    -0.07,  78765.66,           65986.06,     42.85,    -38.72,          69.71,  +1.68,  +0.52
  4,     UK002K,       0,  0.159764, 2459443.452409990598,  26.63853,  42.65087,               68.37574,  39.14114,        68.36564,       39.14780,     26.63853,     +42.65087,      26.63942,      +42.66114,  2450668.75, -2936878.63,  5220142.74,      53.948208,       +1.429861,  107304.38,  167843.64,   11111.35,            11029.92,   196.93,  77131.06,           69183.31,     22.36,    -20.18,          37.01,  +2.14,  +1.02
  5,     UK002K,       0,  0.199712, 2459443.452410452999,  26.45504,  42.66894,               68.47308,  39.25446,        68.47612,       39.25246,     26.45504,     +42.66894,      26.45581,      +42.66584,  2449410.90, -2937943.89,  5218675.56,      53.940489,       +1.405005,  106125.42,  165663.80,   13318.05,            13236.62,  -480.58,  55239.39,           68104.37,     -6.64,      5.98,          11.13,  +1.99,  +0.89
  6,     UK002K,       0,  0.239676, 2459443.452410915401,  26.18485,  42.65629,               68.65461,  39.39559,        68.64001,       39.40524,     26.18485,     +42.65629,      26.18607,      +42.67113,  2447618.46, -2939461.88,  5216584.83,      53.929476,       +1.369655,  104446.35,  162562.54,   16462.62,            16381.20,  -221.37,  78685.17,           68853.27,     31.26,    -28.21,          53.43,  +2.78,  +1.72
  7,     UK002K,       0,  0.279616, 2459443.452411377802,  26.00579,  42.68415,               68.73963,  39.51307,        68.74844,       39.50727,     26.00579,     +42.68415,      26.00682,      +42.67522,  2446466.65, -2940437.34,  5215241.34,      53.922390,       +1.346881,  103367.91,  160567.88,   18483.30,            18401.87, -1084.33,  50592.84,           67643.87,    -18.61,     16.75,          32.17,  +3.83,  +2.80
  8,     UK002K,       0,  0.319572, 2459443.452411840204,  25.74964,  42.68038,               68.90385,  39.65254,        68.90468,       39.65200,     25.74964,     +42.68038,      25.75096,      +42.67954,  2444868.19, -2941791.05,  5213376.87,      53.912546,       +1.315339,  101872.06,  157804.29,   21287.55,            21206.12, -1164.87,  70183.45,           67248.83,     -1.72,      1.55,           3.03,  +2.86,  +1.87

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.