Orbital Analysis for matched events on 20210813_234336.828_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.61° Bg 38.37° Vg 63.08km/s
mass 0.01386g, abs. mag -0.2
Path Details
------------
start 0.61° 51.28° 108.50km
end   0.50° 51.21° 98.22km

Orbit Details
-------------
Semimajor axis -3.61A.U., eccentricity 1.27, inclination 115.75°, Period 1000000000.00Y, LA Sun 141.14°, 

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: 2459440.488620705903
Time: 2021-08-13 23:43:36.828990 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002C
 Convergence angle = 9.86989 deg
 R.A. =  49.42501  Dec = +58.84175 deg

Best intersection: Stations UK002B and UK002C with Qconv = 9.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3074614.98 +/- 542.63 m
 Y =  -2659763.43 +/- 355.56 m
 Z =   5037918.82 +/- 566.01 m
 Vx =    22227.58 +/- 3016.10 m/s
 Vy =    25170.41 +/- 2141.81 m/s
 Vz =    54536.04 +/- 4834.63 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):
    UK002B: 0.000000 s
    UK002C: 0.002836 s

Reference point on the trajectory:
  Time: 2021-08-13 23:43:36.828990 UTC
  Lon     = ++0.609902 +/- 0.0088 deg
  Lat     = +51.282550 +/- 0.0019 deg
  Lat geo = +51.097748 +/- 0.0020 deg
  Ht      =  108450.25 +/- 552.17 m

  JD dynamic   = 2459440.489421446808 
  LST apparent = 319.1378338444 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.55280 +/- 1.3694 deg
  Dec       = +58.37776 +/- 1.1339 deg
  Azimuth   =  44.77441 +/- 1.8210 deg
  Elevation = +41.89297 +/- 0.1423 deg
  Vavg      =  62.75324 +/- 3.4728 km/s
  Vinit     =  64.04525 +/- 4.8518 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.55792 +/- 1.3694 deg
  Dec       = +58.15248 +/- 1.1339 deg
  Azimuth   =  45.02622 +/- 1.8210 deg
  Elevation = +41.76827 +/- 0.1423 deg
  Vavg      =  62.90916 +/- 3.4728 km/s
  Vinit     =  64.20118 +/- 4.8518 km/s
Radiant (geocentric, J2000):
  R.A.   =  48.75382 +/- 1.4416 deg
  Dec    = +58.08623 +/- 1.1121 deg
  Vg     =  63.07656 +/- 4.9119 km/s
  Vinf   =  64.04525 +/- 4.8518 km/s
  Zc     =  48.23835 +/- 0.1427 deg
  Zg     =  48.62931 +/- 0.1558 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.60649 +/- 1.4115 deg
  Bg     = +38.36814 +/- 0.7797 deg
  Vh     =  44.68671 +/- 4.1294 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.88331 +/- 4.5894 deg
  Bh     = +61.18237 +/- 2.5973 deg
  Vh_x   =  -3.78358 +/- 3.3733 km/s
  Vh_y   = -21.20513 +/- 3.2817 km/s
  Vh_z   = -39.15263 +/- 2.1881 km/s
Orbit:
  La Sun = 141.137886 +/- -0.0000 deg
  a      =  -3.613418 +/- 1.2392 AU
  e      =   1.266879 +/- 0.4764
  i      = 115.750422 +/- 3.2933 deg
  peri   = 156.054936 +/- 4.0542 deg
  node   = 141.136739 +/- 0.0003 deg
  Pi     = 297.191675 +/- 4.0539 deg
  q      =   0.964344 +/- 0.0111 AU
  f      =  23.941052 +/- 4.0543 deg
  M      =        nan +/- nan deg
  Q      =  -8.191180 +/- 2.4682 AU
  n      =   0.143492 +/- 0.6937 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -2.003409 +/- 2.6084
Shower association:
  IAU No.  =    7
  IAU code =  PER

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 = 32.719606
 a2 = 8.059251

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 1.980e-05 s
  Stddev    = 4.45e-03 s

Begin point on the trajectory:
  Lon =     0.610420 +/- 0.0086 deg
  Lat =    51.282877 +/- 0.0017 deg
  Ht  = 108497.03 +/- 533.24 m
End point on the trajectory:
  Lon =     0.495535 +/- 0.0079 deg
  Lat =    51.210731 +/- 0.0015 deg
  Ht  = 98215.77 +/- 459.39 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,   1.648257,  19.797229,   108497.03,    98215.77,          0.020258,     40.73,     48.69,              18.97, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210813_234335_268_0326400.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   2.644255,  27.906456,   107382.98,   100789.72,          0.006939,     18.25,     15.19,              37.83, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210813_234326_990_0319744.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,     UK002B,       0,  0.000000, 2459440.488620705903,  37.10609,  39.45339,               68.66229,  35.29043,        68.68054,       35.32570,     37.10609,     +39.45339,      37.05879,      +39.46486,  3074639.29, -2659735.90,  5037978.47,      51.282877,       +0.610420,  108497.03,  184579.56,       0.00,               70.05,   -47.21,      0.00,           66954.55,    -94.64,    -79.08,         137.82,  +3.27,  +1.94
  1,     UK002B,       0,  0.040048, 2459440.488621169236,  36.95831,  39.22438,               68.96662,  35.22911,        68.96644,       35.22877,     36.95831,     +39.22438,      36.95894,      +39.22426,  3073828.22, -2660654.35,  5035988.49,      51.271959,       +0.592985,  106936.75,  182380.55,    2336.96,             2266.91,  -415.24,  58353.95,           66954.55,      0.91,      0.76,           1.34,  +2.00,  +0.70
  2,     UK002B,       0,  0.080160, 2459440.488621633500,  36.83738,  38.90553,               69.33779,  35.09346,        69.34117,       35.09991,     36.83738,     +38.90553,      36.82911,      +38.90762,  3072792.26, -2661827.47,  5033446.73,      51.258002,       +0.570761,  104944.51,  179579.57,    5321.92,             5251.86,     0.74,  74415.57,           66954.55,    -16.85,    -14.12,          25.25,  +1.51,  +0.24
  3,     UK002B,       0,  0.120272, 2459440.488622097764,  36.73985,  38.61355,               69.66888,  34.96107,        69.68006,       34.98222,     36.73985,     +38.61355,      36.71218,      +38.62039,  3071879.16, -2662861.46,  5031206.42,      51.245690,       +0.551153,  103189.15,  177114.85,    7952.87,             7882.82,    62.71,  65590.15,           66954.55,    -54.63,    -45.74,          82.98,  +1.28,  +0.04
  4,     UK002B,       0,  0.160352, 2459440.488622562028,  36.61263,  38.34391,               69.99726,  34.86052,        70.00196,       34.86935,     36.61263,     +38.34391,      36.60157,      +38.34676,  3071032.10, -2663820.67,  5029128.12,      51.234260,       +0.532950,  101561.25,  174832.21,   10393.55,            10323.50,   -63.55,  60895.22,           65855.22,    -22.53,    -18.89,          34.69,  +1.48,  +0.27
  5,     UK002B,       0,  0.200460, 2459440.488623025827,  36.50709,  38.04464,               70.33894,  34.72744,        70.34904,       34.74626,     36.50709,     +38.04464,      36.48296,      +38.05070,  3070140.54, -2664830.26,  5026940.66,      51.222219,       +0.513801,   99848.39,  172435.02,   12962.42,            12892.37,   -63.40,  64048.96,           65282.98,    -47.46,    -39.76,          74.06,  +1.23,  +0.05
  6,     UK002B,       0,  0.240552, 2459440.488623490091,  36.38796,  37.75549,               70.67929,  34.60873,        70.68798,       34.62483,     36.38796,     +37.75549,      36.36766,      +37.76066,  3069290.49, -2665792.85,  5024855.04,      51.210731,       +0.495535,   98215.77,  170153.82,   15411.71,            15341.66,  -181.82,  61091.64,           64629.60,    -40.11,    -33.61,          63.43,  +1.65,  +0.50
  7,     UK002B,       1,  0.280608, 2459440.488623953890,  36.21951,  37.48830,               71.03033,  34.53363,        71.01555,       34.50634,     36.21951,     +37.48830,      36.25668,      +37.47950,  3068487.57, -2666702.08,  5022885.04,      51.199871,       +0.478272,   96674.12,  168003.09,   17725.21,            17655.16,  -433.71,  57756.68,           63785.26,     67.04,     56.44,         107.59,  +5.12,  +3.99
  0,     UK002C,       0,  0.023121, 2459440.488620940596,  24.32408,  23.03989,               91.98392,  31.64706,        91.98817,       31.65403,     24.32408,     +23.03989,      24.31614,      +23.04256,  3074060.21, -2660391.65,  5036557.67,      51.275083,       +0.598006,  107382.98,  200113.52,       0.00,             1598.49,     0.44,      0.00,           61621.20,    -17.55,    -21.07,          28.27,  +2.24,  +0.73
  1,     UK002C,       0,  0.063341, 2459440.488621405791,  24.12315,  22.57366,               92.51420,  31.42931,        92.51057,       31.42342,     24.12315,     +22.57366,      24.13019,      +22.57141,  3073110.60, -2661466.98,  5034227.79,      51.262293,       +0.577621,  105556.63,  197995.41,    2736.13,             4334.62,   160.68,  68029.11,           61621.20,     14.71,     17.68,          23.96,  +1.16,  -0.32
  2,     UK002C,       0,  0.103565, 2459440.488621871453,  23.95578,  22.12601,               93.00141,  31.20322,        93.00174,       31.20376,     23.95578,     +22.12601,      23.95557,      +22.12621,  3072231.73, -2662462.21,  5032071.44,      51.250445,       +0.558741,  103866.86,  196048.09,    5268.47,             6866.96,   116.86,  62955.92,           61621.20,     -1.34,     -1.61,           2.21,  +1.06,  -0.40
  3,     UK002C,       0,  0.143745, 2459440.488622336648,  23.79608,  21.74484,               93.42878,  31.02060,        93.42398,       31.01292,     23.79608,     +21.74484,      23.80550,      +21.74191,  3071486.75, -2663305.82,  5030243.63,      51.240396,       +0.542712,  102434.94,  194406.60,    7414.99,             9013.48,  -309.96,  53422.71,           61621.20,     18.90,     22.72,          31.36,  +1.20,  -0.24
  4,     UK002C,       0,  0.183965, 2459440.488622801844,  23.62261,  21.29439,               93.92014,  30.79430,        93.91590,       30.78757,     23.62261,     +21.29439,      23.63110,      +21.29182,  3070630.56, -2664275.37,  5028142.92,      51.228838,       +0.524314,  100789.72,  192533.98,    9881.99,            11480.48,  -418.86,  61337.62,           60789.60,     16.44,     19.76,          27.54,  +2.48,  +1.06

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.