Orbital Analysis for matched events on 20210929_043517.231_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 105.63° Bg 15.55° Vg 65.53km/s
mass 0.01169g, abs. mag -0.5
Path Details
------------
start 0.86° 53.69° 112.80km
end   0.78° 53.71° 102.22km

Orbit Details
-------------
Semimajor axis 2.92A.U., eccentricity 0.69, inclination 151.61°, Period 5.00Y, LA Sun 185.96°, last Perihelion 2021-09-01

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: 2459486.691171666607
Time: 2021-09-29 04:35:17.241208 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK002K
 Convergence angle = 30.35396 deg
 R.A. = 109.67419  Dec = +38.01217 deg

Best intersection: Stations UK0026 and UK002K with Qconv = 30.35 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    810861.16 +/- 35.89 m
 Y =   3766553.21 +/- 43.68 m
 Z =   5208338.19 +/- 63.53 m
 Vx =   -17404.16 +/- 29.03 m/s
 Vy =    49361.35 +/- 531.06 m/s
 Vz =    40956.83 +/- 448.55 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.948757e+02, -9.393639e+02, -1.446222e+03, +5.435818e+03, -5.883515e+03, -1.002923e+04
-9.393639e+02, +1.150632e+03, +1.751810e+03, -5.883732e+03, +6.420781e+03, +1.114070e+04
-1.446222e+03, +1.751810e+03, +2.883854e+03, -9.875257e+03, +1.104948e+04, +1.992720e+04
+5.435818e+03, -5.883732e+03, -9.875257e+03, +5.066538e+04, -5.494422e+04, -9.389250e+04
-5.883515e+03, +6.420781e+03, +1.104948e+04, -5.494422e+04, +6.021409e+04, +1.047834e+05
-1.002923e+04, +1.114070e+04, +1.992720e+04, -9.389250e+04, +1.047834e+05, +1.884203e+05

Timing offsets (from input data):
    UK0026: 0.000263 s
    UK002K: 0.000000 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:35:17.241208 UTC
  Lon     = ++0.865347 +/- 0.0007 deg
  Lat     = +53.688561 +/- 0.0001 deg
  Lat geo = +53.507976 +/- 0.0001 deg
  Ht      =  114182.63 +/- 71.70 m

  JD dynamic   = 2459486.691972514149 
  LST apparent = 77.8508218594 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 109.42197 +/- 0.1603 deg
  Dec       = +38.04385 +/- 0.1288 deg
  Azimuth   = 113.08511 +/- 0.3859 deg
  Elevation = +63.37091 +/- 0.0494 deg
  Vavg      =  63.41121 +/- 0.3496 km/s
  Vinit     =  66.45983 +/- 0.5377 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 109.68327 +/- 0.1603 deg
  Dec       = +37.96555 +/- 0.1288 deg
  Azimuth   = 112.87504 +/- 0.3859 deg
  Elevation = +63.17191 +/- 0.0494 deg
  Vavg      =  63.52754 +/- 0.3496 km/s
  Vinit     =  66.57617 +/- 0.5377 km/s
Radiant (geocentric, J2000):
  R.A.   = 109.22301 +/- 0.1584 deg
  Dec    = +37.94686 +/- 0.1317 deg
  Vg     =  65.52755 +/- 0.5451 km/s
  Vinf   =  66.45983 +/- 0.5377 km/s
  Zc     =  26.55877 +/- 0.0493 deg
  Zg     =  26.74980 +/- 0.0498 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 105.63436 +/- 0.1124 deg
  Bg     = +15.54667 +/- 0.1454 deg
  Vh     =  38.30838 +/- 0.5771 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 113.26145 +/- 0.1081 deg
  Bh     = +27.29166 +/- 0.0942 deg
  Vh_x   =  13.44493 +/- 0.2498 km/s
  Vh_y   = -31.27669 +/- 0.4288 km/s
  Vh_z   = -17.56517 +/- 0.3088 km/s
Orbit:
  La Sun = 185.963865 +/- 0.0000 deg
  a      =   2.922437 +/- 1.2247 AU
  e      =   0.686714 +/- 0.0469
  i      = 151.613569 +/- 0.1004 deg
  peri   = 142.052050 +/- 1.0982 deg
  node   = 185.964704 +/- 0.0000 deg
  Pi     = 328.016754 +/- 1.0982 deg
  q      =   0.915560 +/- 0.0022 AU
  f      =  37.946555 +/- 1.0982 deg
  M      =   5.447183 +/- 1.0507 deg
  Q      =   4.929314 +/- 2.4476 AU
  n      =   0.197282 +/- 0.0365 deg/day
  T      =   4.995954 +/- 4.3181 years
  Last perihelion JD = 2459459.080749 (2021-09-01 13:56:16.682657) +/- 1.0625 days
  Tj     =   0.822326 +/- 0.2811
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.920523e-03, +9.940630e-05, +4.683650e-02, +3.564521e-09, +8.565839e-04, -7.051416e-05
q   , +9.940630e-05, +5.767205e-06, +2.543764e-03, +2.298635e-10, +4.731949e-05, -4.546571e-06
Tp  , +4.683650e-02, +2.543764e-03, +1.166789e+00, +9.510366e-08, +2.148856e-02, -1.880955e-03
node, +3.564521e-09, +2.298635e-10, +9.510366e-08, +1.013597e-14, +1.798769e-09, -2.005458e-10
peri, +8.565839e-04, +4.731949e-05, +2.148856e-02, +1.798769e-09, +3.967625e-04, -3.557605e-05
i   , -7.051416e-05, -4.546571e-06, -1.880955e-03, -2.005458e-10, -3.557605e-05, +3.967987e-06

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: UK002K
  Avg. res. = 2.831e-07 s
  Stddev    = 5.32e-04 s

Begin point on the trajectory:
  Lon =     0.855881 +/- 0.0003 deg
  Lat =    53.690955 +/- 0.0001 deg
  Ht  = 112802.97 +/- 21.25 m
End point on the trajectory:
  Lon =     0.782310 +/- 0.0004 deg
  Lat =    53.709327 +/- 0.0001 deg
  Ht  = 102223.63 +/- 41.93 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,   0.000000,   0.000000,   112802.97,   103631.56,          0.003013,      2.53,      7.34,              40.81, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210929_043510_095_0925696.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00, 147.618866,   0.000000,   111323.01,   102223.63,          0.006999,      3.22,     15.78,              19.41, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210929_043514_529_0923136.fits"}
    UK0032,    True,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   111840.20,   104591.71,          0.032285,       nan,       nan,              40.81, 0.0000,    True,    True, {"ff_name": "FF_UK0032_20210929_043509_552_0924672.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,  0.009475, 2459486.691171773244, 163.83731,  66.75404,               36.32577,  48.29662,        36.32246,       48.29852,    163.83731,     +66.75404,     163.83538,      +66.75685,   811265.34,  3765406.89,  5207387.04,      53.690955,       +0.855881,  112802.97,  150046.54,       0.00,             1543.41,   361.47,      0.00,           65620.52,     -7.21,      2.48,          10.48,  +2.94,  +2.06
  1,     UK0026,       0,  0.049903, 2459486.691172240768, 165.24796,  66.91374,               35.74907,  47.86648,        35.75477,       47.86322,    165.24796,     +66.91374,     165.25132,      +66.90886,   811853.54,  3763738.65,  5206002.85,      53.694440,       +0.841927,  110795.28,  148371.52,    2246.10,             3789.51,   -79.27,  55558.12,           65620.52,     12.31,     -4.24,          18.10,  +1.62,  +0.76
  2,     UK0026,       0,  0.090459, 2459486.691172710154, 167.07865,  67.08350,               35.04604,  47.30465,        35.04664,       47.30431,    167.07865,     +67.08350,     167.07932,      +67.08298,   812584.10,  3761666.63,  5204283.61,      53.698769,       +0.824621,  108301.84,  146313.63,    5035.87,             6579.27,    15.15,  68787.95,           65620.52,      1.27,     -0.44,           1.89,  +1.07,  +0.24
  3,     UK0026,       0,  0.131051, 2459486.691173180006, 169.05887,  67.24882,               34.30242,  46.70412,        34.30621,       46.70198,    169.05887,     +67.24882,     169.06104,      +67.24551,   813343.21,  3759513.67,  5202497.23,      53.703268,       +0.806627,  105711.25,  144201.78,    7934.60,             9478.00,   216.14,  71411.32,           65620.52,      8.01,     -2.76,          12.12,  +1.38,  +0.59
  4,     UK0026,       0,  0.171543, 2459486.691173648927, 170.71270,  67.36159,               33.70737,  46.20234,        33.70727,       46.20240,    170.71270,     +67.36159,     170.71337,      +67.36169,   813952.66,  3757785.16,  5201063.03,      53.706881,       +0.792135,  103631.56,  142525.57,   10261.85,            11805.25,  -147.70,  57474.37,           64677.82,     -0.23,      0.08,           0.35,  +3.64,  +2.87
  0,     UK002K,       1,  0.000000, 2459486.691171666607, 134.26077,  45.70949,               78.04119,  52.91067,        78.01150,       52.93016,    134.26077,     +45.70949,     134.25173,      +45.73519,   810865.23,  3766541.68,  5208328.62,      53.688585,       +0.865290,  114168.75,  142332.04,       0.00,               15.53,  -536.73,      0.00,           71740.33,    -64.39,    -13.23,          95.26,  +4.71,  +3.94
  1,     UK002K,       0,  0.040068, 2459486.691172130406, 134.86887,  45.84518,               77.46627,  52.63264,        77.46849,       52.63119,    134.86887,     +45.84518,     134.86970,      +45.84325,   811698.92,  3764177.17,  5206366.70,      53.693524,       +0.845591,  111323.01,  139336.51,    3183.57,             3199.10,   -16.08,  79454.10,           71740.33,      4.72,      0.96,           7.14,  +1.31,  +0.59
  2,     UK002K,       0,  0.080144, 2459486.691172594205, 135.41732,  45.94116,               76.98780,  52.36790,        76.99294,       52.36457,    135.41732,     +45.94116,     135.41915,      +45.93669,   812409.41,  3762162.09,  5204694.72,      53.697734,       +0.828762,  108898.05,  136789.57,    5896.65,             5912.18,    33.56,  67698.52,           71740.33,     10.72,      2.18,          16.50,  +1.16,  +0.48
  3,     UK002K,       0,  0.120240, 2459486.691173058469, 136.00727,  46.02958,               76.49690,  52.07564,        76.49266,       52.07836,    136.00727,     +46.02958,     136.00659,      +46.03326,   813138.32,  3760094.76,  5202979.38,      53.702054,       +0.811484,  106410.44,  134183.71,    8680.09,             8695.62,   152.23,  69419.39,           71740.33,     -8.64,     -1.76,          13.56,  +1.02,  +0.38
  4,     UK002K,       0,  0.160328, 2459486.691173522267, 136.55435,  46.10978,               76.04720,  51.80428,        76.03513,       51.81199,    136.55435,     +46.10978,     136.55174,      +46.12027,   813788.70,  3758250.18,  5201448.87,      53.705909,       +0.796035,  104191.04,  131864.19,   11163.63,            11179.16,   -28.48,  61952.15,           69415.43,    -24.20,     -4.94,          38.64,  +1.93,  +1.33
  5,     UK002K,       0,  0.200400, 2459486.691173986066, 137.05439,  46.18875,               75.63110,  51.55998,        75.62039,       51.56678,    137.05439,     +46.18875,     137.05240,      +46.19807,   814365.27,  3756614.92,  5200092.04,      53.709327,       +0.782310,  102223.63,  129812.34,   13365.33,            13380.86,  -489.95,  54943.61,           66684.50,    -21.13,     -4.31,          34.27,  +2.89,  +2.32
  0,     UK0032,       1,  0.031816, 2459486.691172034945, 164.51207,  66.82525,               36.05722,  48.08748,        36.05021,       48.09151,    164.51207,     +66.82525,     164.50817,      +66.83121,   811547.39,  3764606.92,  5206723.28,      53.692626,       +0.849177,  111840.20,  149241.08,       0.00,             2620.47,   -46.29,      0.00,           67056.51,    -15.21,      5.23,          22.23,  +3.49,  +2.62
  1,     UK0032,       1,  0.071904, 2459486.691172498744, 166.36865,  67.06185,               35.26106,  47.54088,        35.30956,       47.51324,    166.36865,     +67.06185,     166.39410,      +67.02013,   812313.85,  3762433.12,  5204919.60,      53.697167,       +0.831038,  109224.20,  147072.43,    2926.79,             5547.27,   216.27,  73009.19,           67056.51,    103.97,    -35.92,         154.27,  +0.60,  -0.24
  2,     UK0032,       1,  0.112028, 2459486.691172963008, 168.10099,  67.20413,               34.61743,  47.00919,        34.65491,       46.98799,    168.10099,     +67.20413,     168.11874,      +67.17159,   812986.28,  3760525.98,  5203337.18,      53.701153,       +0.815088,  106929.31,  145191.33,    5494.55,             8115.03,   117.39,  63995.64,           67056.51,     79.56,    -27.47,         119.57,  +0.37,  -0.44
  3,     UK0032,       1,  0.152152, 2459486.691173427738, 169.92759,  67.34378,               33.94540,  46.45669,        33.98422,       46.43487,    169.92759,     +67.34378,     169.94371,      +67.30978,   813671.28,  3758583.20,  5201725.18,      53.705213,       +0.798829,  104591.71,  143297.23,    8110.31,            10730.79,    66.51,  65191.82,           67056.51,     81.59,    -28.19,         124.26,  +1.58,  +0.80

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.