Orbital Analysis for matched events on 20210810_225332.098_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.16° Bg 40.33° Vg 59.91km/s
mass 0.02145g, abs. mag -0.2
Path Details
------------
start -3.01° 52.18° 107.21km
end   -3.11° 52.10° 98.71km

Orbit Details
-------------
Semimajor axis -9.83A.U., eccentricity 1.10, inclination 111.06°, Period 1000000000.00Y, LA Sun 138.22°, 

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: 2459437.453843735158
Time: 2021-08-10 22:53:32.098718 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK0027
 Convergence angle = 16.10378 deg
 R.A. =  44.52831  Dec = +58.87488 deg

Best intersection: Stations UK000S and UK0027 with Qconv = 16.10 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1993043.80 +/- 76.67 m
 Y =  -3451161.14 +/- 22.57 m
 Z =   5099515.92 +/- 160.96 m
 Vx =    21536.75 +/- 883.11 m/s
 Vy =    21623.96 +/- 476.44 m/s
 Vz =    52730.75 +/- 915.45 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.240026e+03, +8.095385e+01, -5.468453e+03, +1.024644e+04, +2.409665e+01, -2.097776e+04
+8.095385e+01, +3.172343e+02, +1.900967e+02, -1.286092e+03, +6.345906e+02, +9.374059e+02
-5.468453e+03, +1.900967e+02, +1.671560e+04, -2.679257e+04, -1.866779e+03, +5.492931e+04
+1.024644e+04, -1.286092e+03, -2.679257e+04, +8.963316e+04, +7.128212e+02, -1.721183e+05
+2.409665e+01, +6.345906e+02, -1.866779e+03, +7.128212e+02, +7.316961e+03, -1.102644e+04
-2.097776e+04, +9.374059e+02, +5.492931e+04, -1.721183e+05, -1.102644e+04, +3.481306e+05

Timing offsets (from input data):
    UK000S: 0.000000 s
    UK0027: -0.000798 s

Reference point on the trajectory:
  Time: 2021-08-10 22:53:32.098718 UTC
  Lon     = +-3.010661 +/- 0.0011 deg
  Lat     = +52.175553 +/- 0.0011 deg
  Lat geo = +51.992071 +/- 0.0011 deg
  Ht      =  107190.39 +/- 110.64 m

  JD dynamic   = 2459437.454644476064 
  LST apparent = 300.0064118520 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  45.11578 +/- 0.5320 deg
  Dec       = +59.93877 +/- 0.7344 deg
  Azimuth   =  37.34055 +/- 0.9003 deg
  Elevation = +37.12620 +/- 0.3061 deg
  Vavg      =  58.70781 +/- 0.5750 km/s
  Vinit     =  60.92585 +/- 0.5840 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.97486 +/- 0.5320 deg
  Dec       = +59.71086 +/- 0.7344 deg
  Azimuth   =  37.61209 +/- 0.9003 deg
  Elevation = +37.02607 +/- 0.3061 deg
  Vavg      =  58.84888 +/- 0.5750 km/s
  Vinit     =  61.06692 +/- 0.5840 km/s
Radiant (geocentric, J2000):
  R.A.   =  45.40197 +/- 0.5242 deg
  Dec    = +59.53061 +/- 0.7449 deg
  Vg     =  59.90649 +/- 0.5944 km/s
  Vinf   =  60.92585 +/- 0.5840 km/s
  Zc     =  53.01976 +/- 0.3044 deg
  Zg     =  53.50195 +/- 0.3176 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.15858 +/- 0.6758 deg
  Bg     = +40.32883 +/- 0.5975 deg
  Vh     =  42.90352 +/- 0.8734 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.86047 +/- 1.5384 deg
  Bh     = +64.64524 +/- 0.2159 deg
  Vh_x   =  -1.96491 +/- 0.4284 km/s
  Vh_y   = -18.26684 +/- 0.3343 km/s
  Vh_z   = -38.77078 +/- 0.8480 km/s
Orbit:
  La Sun = 138.224361 +/- -0.0000 deg
  a      =  -9.830582 +/- 5.5973 AU
  e      =   1.096973 +/- 0.0773
  i      = 111.062791 +/- 0.5135 deg
  peri   = 152.408581 +/- 0.3801 deg
  node   = 138.223073 +/- 0.0000 deg
  Pi     = 290.631653 +/- 0.3801 deg
  q      =   0.953304 +/- 0.0018 AU
  f      =  27.587341 +/- 0.3801 deg
  M      =        nan +/- nan deg
  Q      = -20.614468 +/- 11.1941 AU
  n      =   0.031977 +/- 0.0288 deg/day
  T      = 1000000000.000000 +/- 249443820.3571 years
  Last perihelion JD = NaN 
  Tj     =  -0.974877 +/- 0.4189
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.476184e-03, -5.290039e-05, +2.089195e-02, +2.302395e-08, +1.520961e-04, -2.956161e-04
q   , -5.290039e-05, +2.577988e-06, -2.111193e-04, -4.445373e-10, +3.122194e-06, +5.698791e-06
Tp  , +2.089195e-02, -2.111193e-04, +2.152190e-01, +2.020782e-07, +2.329642e-03, -2.595592e-03
node, +2.302395e-08, -4.445373e-10, +2.020782e-07, +2.194798e-13, +1.624410e-09, -2.818118e-09
peri, +1.520961e-04, +3.122194e-06, +2.329642e-03, +1.624410e-09, +3.755417e-05, -2.088902e-05
i   , -2.956161e-04, +5.698791e-06, -2.595592e-03, -2.818118e-09, -2.088902e-05, +3.618493e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.731114
 a2 = 25.097257

Mean time residuals from time vs. length:
  Station with reference time: UK000S
  Avg. res. = 6.479e-07 s
  Stddev    = 8.05e-04 s

Begin point on the trajectory:
  Lon =    -3.010418 +/- 0.0011 deg
  Lat =    52.175749 +/- 0.0010 deg
  Ht  = 107211.47 +/- 104.88 m
End point on the trajectory:
  Lon =    -3.109368 +/- 0.0007 deg
  Lat =    52.096642 +/- 0.0006 deg
  Ht  = 98714.10 +/- 59.92 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.793204,  24.533367,   107211.47,    98714.10,          0.011875,     24.66,     33.51,              57.34, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210810_225332_984_0236288.fits"}
    UK0027,   False,    -2.374601,    51.371449,   48.00,   4.582960,  12.647362,   106844.76,    99767.52,          0.015158,     13.07,     35.96,              49.48, 1.0000,    True,    True, {"ff_name": "FF_UK0027_20210810_225327_044_0229888.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,     UK000S,       0,  0.000000, 2459437.453843735158, 180.93370,  60.56921,              330.24503,  31.26329,       330.23255,       31.28608,    180.93370,     +60.56921,     180.98001,      +60.57996,  1993056.14, -3451148.74,  5099546.15,      52.175749,       -3.010418,  107211.47,  201987.92,       0.00,               34.93,   341.04,      0.00,           59044.74,    -71.45,    -52.58,          90.59,  +4.62,  +3.09
  1,     UK000S,       0,  0.040044, 2459437.453844198491, 181.39765,  60.11273,              329.69798,  31.05849,       329.69222,       31.06891,    181.39765,     +60.11273,     181.41881,      +60.11759,  1992285.96, -3451922.05,  5097660.43,      52.163539,       -3.025733,  105896.61,  200743.11,    2178.79,             2143.86,    10.26,  54409.83,           59044.74,    -32.54,    -23.93,          41.51,  +1.71,  +0.20
  2,     UK000S,       0,  0.080088, 2459437.453844662290, 181.86974,  59.63116,              329.12633,  30.84008,       329.12730,       30.83835,    181.86974,     +59.63116,     181.86661,      +59.63036,  1991486.85, -3452724.39,  5095703.89,      52.150862,       -3.041615,  104532.84,  199468.43,    4439.41,             4404.48,  -168.84,  56453.40,           59044.74,      5.40,      3.97,           6.93,  +1.40,  -0.10
  3,     UK000S,       0,  0.120164, 2459437.453845126089, 182.36983,  59.03659,              328.45532,  30.54746,       328.44988,       30.55707,    182.36983,     +59.03659,     182.38932,      +59.04096,  1990535.91, -3453679.19,  5093375.58,      52.135768,       -3.060479,  102910.59,  197973.64,    7129.56,             7094.63,    79.65,  67126.40,           59044.74,    -29.78,    -21.90,          38.51,  +1.40,  -0.08
  4,     UK000S,       0,  0.160208, 2459437.453845589422, 182.85462,  58.51814,              327.84564,  30.31170,       327.85016,       30.30380,    182.85462,     +58.51814,     182.83984,      +58.51460,  1989701.75, -3454516.73,  5091333.21,      52.122518,       -3.077044,  101488.13,  196684.16,    9489.34,             9454.41,    -0.28,  58929.69,           59743.90,     24.38,     17.91,          31.73,  +1.47,  +0.00
  5,     UK000S,       0,  0.200276, 2459437.453846053220, 183.26264,  57.99648,              327.26716,  30.05065,       327.26575,       30.05309,    183.26264,     +57.99648,     183.26821,      +57.99756,  1988895.24, -3455326.50,  5089358.56,      52.109700,       -3.093063,  100113.33,  195456.73,   11770.89,            11735.96,  -159.92,  56941.72,           59543.20,     -7.51,     -5.52,           9.83,  +2.01,  +0.55
  6,     UK000S,       0,  0.240332, 2459437.453846516553, 183.68885,  57.46143,              326.66856,  29.78820,       326.66638,       29.79194,    183.68885,     +57.46143,     183.69703,      +57.46307,  1988074.10, -3456150.97,  5087348.07,      52.096642,       -3.109368,   98714.10,  194226.63,   14093.84,            14058.91,  -277.41,  57992.62,           59305.39,    -11.45,     -8.42,          15.09,  +3.67,  +2.23
  0,     UK0027,       0,  0.010772, 2459437.453843869269, 204.64099,  72.21140,              333.87001,  46.37905,       333.87850,       46.35151,    204.64099,     +72.21140,     204.55157,      +72.20465,  1992841.37, -3451364.39,  5099020.29,      52.172344,       -3.014691,  106844.76,  146507.50,       0.00,              572.66,   222.47,      0.00,           58928.91,     67.68,     24.58,         101.38,  +2.71,  +1.88
  1,     UK0027,       0,  0.050732, 2459437.453844331671, 205.06332,  71.57987,              332.96507,  46.22041,       332.96751,       46.21289,    205.06332,     +71.57987,     205.03983,      +71.57808,  1992059.30, -3452149.63,  5097105.47,      52.159944,       -3.030239,  105509.74,  145014.11,    2212.41,             2785.07,     0.28,  55365.65,           58928.91,     18.32,      6.66,          27.73,  +1.37,  +0.56
  2,     UK0027,       0,  0.090664, 2459437.453844793607, 205.57130,  70.90083,              331.98166,  46.06697,       331.98589,       46.05464,    205.57130,     +70.90083,     205.53393,      +70.89798,  1991229.40, -3452982.88,  5095073.54,      52.146777,       -3.046724,  104093.57,  143449.66,    4560.13,             5132.79,   -84.89,  58792.97,           58928.91,     29.83,     10.85,          45.64,  +1.55,  +0.77
  3,     UK0027,       0,  0.130616, 2459437.453845256008, 205.98994,  70.15171,              330.92770,  45.85744,       330.92220,       45.87262,    205.98994,     +70.15171,     206.03551,      +70.15509,  1990344.27, -3453871.60,  5092906.38,      52.132725,       -3.064293,  102583.75,  141804.84,    7064.10,             7636.75,   -15.03,  62674.29,           58928.91,    -36.41,    -13.27,          56.36,  +1.26,  +0.50
  4,     UK0027,       0,  0.170532, 2459437.453845717944, 206.51568,  69.40389,              329.85347,  45.68204,       329.85473,       45.67874,    206.51568,     +69.40389,     206.50692,      +69.40318,  1989470.25, -3454749.16,  5090766.42,      52.118840,       -3.081641,  101093.47,  140205.85,    9536.64,            10109.29,    25.59,  61943.60,           59901.46,      7.84,      2.85,          12.28,  +1.67,  +0.94
  5,     UK0027,       0,  0.210480, 2459437.453846180346, 206.87890,  68.71583,              328.89402,  45.48363,       328.89001,       45.49368,    206.87890,     +68.71583,     206.90794,      +68.71794,  1988692.33, -3455530.23,  5088861.75,      52.106474,       -3.097097,   99767.52,  138804.85,   11737.32,            12309.98,  -207.59,  55088.74,           59491.80,    -23.75,     -8.65,          37.56,  +1.70,  +0.99
  6,     UK0027,       1,  0.250340, 2459437.453846641816, 207.53949,  67.90856,              327.71329,  45.32841,       327.74140,       45.26119,    207.53949,     +67.90856,     207.35785,      +67.89492,  1987778.54, -3456447.72,  5086624.41,      52.091940,       -3.115221,   98210.59,  137185.42,   14322.37,            14895.03,   -51.04,  64853.30,           59918.72,    157.73,     57.14,         252.24,  +5.18,  +4.49

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.