Orbital Analysis for matched events on 20210810_005144.881_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 60.43° Bg 38.81° Vg 60.62km/s
mass 0.01284g, abs. mag -0.3
Path Details
------------
start -1.43° 53.14° 106.61km
end   -1.54° 53.09° 95.06km

Orbit Details
-------------
Semimajor axis -11.36A.U., eccentricity 1.08, inclination 113.63°, Period 1000000000.00Y, LA Sun 137.34°, 

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: 2459436.535936128814
Time: 2021-08-10 00:51:44.881530 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 82.45465 deg
 R.A. =  44.16247  Dec = +57.85471 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 82.45 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3383851.81 +/- 64.44 m
 Y =  -1935177.28 +/- 72.57 m
 Z =   5165066.40 +/- 99.84 m
 Vx =    23610.60 +/- 419.19 m/s
 Vy =    22743.87 +/- 597.76 m/s
 Vz =    52188.94 +/- 400.04 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):
    UK001L: 0.000000 s
    UK002Z: -0.001291 s

Reference point on the trajectory:
  Time: 2021-08-10 00:51:44.881530 UTC
  Lon     = +-1.430256 +/- 0.0009 deg
  Lat     = +53.139650 +/- 0.0004 deg
  Lat geo = +52.957809 +/- 0.0004 deg
  Ht      =  106418.38 +/- 115.26 m

  JD dynamic   = 2459436.536736869719 
  LST apparent = 330.2353677830 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.92881 +/- 0.9213 deg
  Dec       = +57.86438 +/- 0.2243 deg
  Azimuth   =  52.73214 +/- 0.3005 deg
  Elevation = +50.09500 +/- 0.5020 deg
  Vavg      =  60.08779 +/- 0.1125 km/s
  Vinit     =  61.63140 +/- 0.3208 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.06715 +/- 0.9213 deg
  Dec       = +57.65004 +/- 0.2243 deg
  Azimuth   =  52.98016 +/- 0.3005 deg
  Elevation = +49.93379 +/- 0.5020 deg
  Vavg      =  60.23339 +/- 0.1125 km/s
  Vinit     =  61.77701 +/- 0.3208 km/s
Radiant (geocentric, J2000):
  R.A.   =  44.09816 +/- 0.9212 deg
  Dec    = +57.62649 +/- 0.2279 deg
  Vg     =  60.62373 +/- 0.3261 km/s
  Vinf   =  61.63140 +/- 0.3208 km/s
  Zc     =  40.01533 +/- 0.5023 deg
  Zg     =  40.35925 +/- 0.5064 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  60.43308 +/- 0.5316 deg
  Bg     = +38.80620 +/- 0.3520 deg
  Vh     =  42.75886 +/- 0.3168 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.40807 +/- 1.0565 deg
  Bh     = +62.69132 +/- 0.6168 deg
  Vh_x   =  -3.60587 +/- 0.2855 km/s
  Vh_y   = -19.28284 +/- 0.4839 km/s
  Vh_z   = -37.99329 +/- 0.3398 km/s
Orbit:
  La Sun = 137.343615 +/- 0.0000 deg
  a      = -11.356622 +/- 11.9365 AU
  e      =   1.084177 +/- 0.0293
  i      = 113.632345 +/- 0.4184 deg
  peri   = 152.924559 +/- 1.3552 deg
  node   = 137.342964 +/- 0.0000 deg
  Pi     = 290.267523 +/- 1.3552 deg
  q      =   0.955966 +/- 0.0051 AU
  f      =  27.071476 +/- 1.3552 deg
  M      =        nan +/- nan deg
  Q      = -23.669209 +/- 23.8711 AU
  n      =   0.025753 +/- 0.0127 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -0.954323 +/- 0.1637
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 = 47.654836
 a2 = 8.855548

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 1.248e-05 s
  Stddev    = 3.53e-03 s

Begin point on the trajectory:
  Lon =    -1.428340 +/- 0.0007 deg
  Lat =    53.140526 +/- 0.0004 deg
  Ht  = 106614.20 +/- 62.03 m
End point on the trajectory:
  Lon =    -1.542481 +/- 0.0005 deg
  Lat =    53.088653 +/- 0.0005 deg
  Ht  = 95062.15 +/- 32.08 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,  51.378861,   7.398332,   106614.20,    95062.15,          0.021956,     43.40,     49.48,              41.56, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210810_005145_115_0392704.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   2.736934,  32.163137,   105974.58,    98723.85,          0.008602,     13.35,     15.07,              77.36, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210810_005137_649_0402432.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,     UK001L,       0,  0.000000, 2459436.535936128814, 160.45442,  74.33849,              356.62958,  36.40503,       356.65584,       36.37606,    160.45442,     +74.33849,     160.36253,      +74.31262,  3383949.60, -1935083.08,  5165282.56,      53.140526,       -1.428340,  106614.20,  176989.62,       0.00,              255.26,    22.55,      0.00,           65480.70,     83.32,     73.00,         129.09,  +5.64,  +4.40
  1,     UK001L,       0,  0.040432, 2459436.535936596803, 161.95101,  73.87127,              356.04362,  36.00166,       356.03560,       36.01043,    161.95101,     +73.87127,     161.97911,      +73.87893,  3382857.17, -1936135.41,  5162867.84,      53.130731,       -1.449909,  104426.86,  174858.20,    2851.61,             2596.35,  -128.25,  70528.52,           65480.70,    -25.00,    -21.96,          39.25,  +2.92,  +1.71
  2,     UK001L,       0,  0.080784, 2459436.535937063862, 163.38520,  73.48346,              355.47534,  35.68444,       355.48108,       35.67822,    163.38520,     +73.48346,     163.36564,      +73.47812,  3381894.98, -1937062.28,  5160741.01,      53.122096,       -1.468930,  102500.71,  172998.33,    5363.23,             5107.97,  -103.57,  62242.91,           65480.70,     17.65,     15.48,          28.00,  +1.47,  +0.28
  3,     UK001L,       0,  0.121184, 2459436.535937531386, 164.72633,  73.03067,              354.90870,  35.30838,       354.89615,       35.32187,    164.72633,     +73.03067,     164.77000,      +73.04200,  3380893.02, -1938027.46,  5158526.27,      53.113094,       -1.488735,  100495.36,  171079.41,    7978.69,             7723.43,    21.97,  64738.90,           65480.70,    -38.00,    -33.37,          60.98,  +1.06,  -0.11
  4,     UK001L,       0,  0.161484, 2459436.535937997978, 165.78536,  72.68749,              354.45265,  35.03233,       354.44320,       35.04244,    165.78536,     +72.68749,     165.81835,      +72.69584,  3380128.10, -1938764.29,  5156835.50,      53.106217,       -1.503896,   98964.71,  169627.34,    9975.36,             9720.10,  -465.10,  49545.33,           62118.64,    -28.33,    -24.87,          45.84,  +2.47,  +1.32
  5,     UK001L,       0,  0.201948, 2459436.535938465968, 167.22765,  72.14728,              353.79617,  34.59516,       353.77220,       34.62055,    167.22765,     +72.14728,     167.30940,      +72.16775,  3379005.38, -1939845.81,  5154353.83,      53.096113,       -1.526075,   96718.52,  167516.11,   12906.04,            12650.78,   -28.27,  72426.87,           62632.74,    -70.61,    -62.05,         115.75,  +5.15,  +4.03
  6,     UK001L,       0,  0.242260, 2459436.535938932560, 168.43136,  71.77513,              353.25428,  34.31632,       353.26970,       34.30006,    168.43136,     +71.77513,     168.38073,      +71.76227,  3378177.30, -1940643.48,  5152523.45,      53.088653,       -1.542481,   95062.15,  165975.31,   15067.59,            14812.33,  -351.21,  53620.33,           61852.29,     45.00,     39.43,          74.35,  +4.34,  +3.24
  0,     UK002Z,       0,  0.005859, 2459436.535936139524, 295.31623,  25.52462,              237.98902,  51.31567,       237.98125,       51.31591,    295.31623,     +25.52462,     295.32085,      +25.52211,  3383630.18, -1935390.78,  5164576.50,      53.137663,       -1.434601,  105974.58,  135017.61,       0.00,              578.54,   -15.29,      0.00,           59337.36,     -8.58,      7.60,          17.51,  +3.51,  +2.86
  1,     UK002Z,       0,  0.046739, 2459436.535936612636, 294.67527,  24.53150,              237.87963,  50.16728,       237.89509,       50.16679,    294.67527,     +24.53150,     294.66608,      +24.53657,  3382574.85, -1936407.37,  5162243.79,      53.128198,       -1.455446,  103861.65,  134467.58,    2754.77,             3333.31,   219.99,  67386.72,           59337.36,     17.42,    -15.43,          35.70,  +2.18,  +1.54
  2,     UK002Z,       0,  0.087503, 2459436.535937084351, 294.12400,  23.68324,              237.80587,  49.18217,       237.82510,       49.18156,    294.12400,     +23.68324,     294.11251,      +23.68964,  3381677.01, -1937272.25,  5160259.20,      53.120138,       -1.473209,  102064.42,  134043.52,    5098.42,             5676.96,    51.30,  57493.16,           59337.36,     22.03,    -19.52,          45.29,  +1.09,  +0.45
  3,     UK002Z,       0,  0.128227, 2459436.535937555600, 293.59380,  22.89532,              237.76981,  48.25620,       237.76216,       48.25644,    293.59380,     +22.89532,     293.59910,      +22.89274,  3380839.08, -1938079.42,  5158407.05,      53.112610,       -1.489801,  100387.41,  133684.21,    7285.68,             7864.22,  -271.32,  53709.38,           59337.36,     -8.92,      7.89,          18.37,  +0.86,  +0.23
  4,     UK002Z,       0,  0.168947, 2459436.535938026849, 293.08492,  22.10044,              237.71341,  47.33347,       237.70165,       47.33384,    293.08492,     +22.10044,     293.09305,      +22.09643,  3380007.73, -1938880.25,  5156569.43,      53.105134,       -1.506266,   98723.85,  133362.45,    9455.78,            10034.32,  -610.85,  53293.29,           57506.70,    -13.90,     12.31,          28.72,  +1.61,  +0.98

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.