Orbital Analysis for matched events on 20210813_233823.687_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 68.83° Bg 40.44° Vg 56.20km/s
mass 0.07389g, abs. mag -1.4
Path Details
------------
start 1.84° 50.26° 106.99km
end   1.74° 50.17° 96.77km

Orbit Details
-------------
Semimajor axis 6.67A.U., eccentricity 0.86, inclination 107.29°, Period 17.23Y, LA Sun 141.13°, last Perihelion 2021-07-17

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: 2459440.484996385872
Time: 2021-08-13 23:38:23.728174 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002N
 Convergence angle = 11.13510 deg
 R.A. =  54.11851  Dec = +61.33323 deg

Best intersection: Stations UK002B and UK002N with Qconv = 11.14 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3138980.54 +/- 556.58 m
 Y =  -2720902.45 +/- 118.71 m
 Z =   4966132.69 +/- 51.21 m
 Vx =    15737.94 +/- 2587.67 m/s
 Vy =    22154.27 +/- 757.83 m/s
 Vz =    50428.89 +/- 1932.48 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.414507e+05, +4.627488e+04, +8.588987e+03, +1.030126e+06, +2.445191e+05, +1.533721e+05
+4.627488e+04, +1.000858e+04, +1.408075e+03, +2.075831e+05, +5.569799e+04, +3.231549e+04
+8.588987e+03, +1.408075e+03, +3.086614e+03, +5.274504e+04, +8.176666e+03, +8.900518e+03
+1.030126e+06, +2.075831e+05, +5.274504e+04, +5.153677e+06, +1.291435e+06, +8.559838e+05
+2.445191e+05, +5.569799e+04, +8.176666e+03, +1.291435e+06, +3.754609e+05, +2.426259e+05
+1.533721e+05, +3.231549e+04, +8.900518e+03, +8.559838e+05, +2.426259e+05, +2.010041e+05

Timing offsets (from input data):
    UK002B: -0.000152 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 23:38:23.728174 UTC
  Lon     = ++1.861126 +/- 0.0062 deg
  Lat     = +50.274127 +/- 0.0023 deg
  Lat geo = +50.088024 +/- 0.0023 deg
  Ht      =  108912.19 +/- 237.91 m

  JD dynamic   = 2459440.485797594767 
  LST apparent = 319.0808988960 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  54.61079 +/- 3.7241 deg
  Dec       = +61.68055 +/- 1.5907 deg
  Azimuth   =  38.30465 +/- 2.9914 deg
  Elevation = +40.37927 +/- 0.5972 deg
  Vavg      =  55.87817 +/- 1.0775 km/s
  Vinit     =  57.28497 +/- 1.3426 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  54.54992 +/- 3.7241 deg
  Dec       = +61.41572 +/- 1.5907 deg
  Azimuth   =  38.61542 +/- 2.9914 deg
  Elevation = +40.25749 +/- 0.5972 deg
  Vavg      =  56.02183 +/- 1.0775 km/s
  Vinit     =  57.42862 +/- 1.3426 km/s
Radiant (geocentric, J2000):
  R.A.   =  55.04067 +/- 3.7848 deg
  Dec    = +61.33066 +/- 1.5710 deg
  Vg     =  56.20001 +/- 1.3679 km/s
  Vinf   =  57.28497 +/- 1.3426 km/s
  Zc     =  49.76687 +/- 0.6027 deg
  Zg     =  50.27501 +/- 0.6306 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  68.82746 +/- 2.8566 deg
  Bg     = +40.43769 +/- 0.9868 deg
  Vh     =  40.22955 +/- 0.4202 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  99.30902 +/- 8.6853 deg
  Bh     = +64.97440 +/- 0.6174 deg
  Vh_x   =   2.75282 +/- 2.5813 km/s
  Vh_y   = -16.79391 +/- 0.8133 km/s
  Vh_z   = -36.45276 +/- 0.2453 km/s
Orbit:
  La Sun = 141.134405 +/- 0.0000 deg
  a      =   6.671467 +/- 18.6420 AU
  e      =   0.864428 +/- 0.0340
  i      = 107.292551 +/- 3.0839 deg
  peri   = 140.242380 +/- 5.4640 deg
  node   = 141.133872 +/- 0.0002 deg
  Pi     = 281.376252 +/- 5.4638 deg
  q      =   0.904461 +/- 0.0275 AU
  f      =  39.753852 +/- 5.4641 deg
  M      =   1.570297 +/- 0.5213 deg
  Q      =  12.438472 +/- 37.2697 AU
  n      =   0.057197 +/- 0.0174 deg/day
  T      =  17.231878 +/- 204.3181 years
  Last perihelion JD = 2459413.031539 (2021-07-17 12:45:24.981719) +/- 3.2496 days
  Tj     =   0.441670 +/- 0.2517
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.047585e-03, +4.586128e-04, +6.889049e-02, -6.635650e-08, +1.818704e-03, +9.450770e-04
q   , +4.586128e-04, +6.045760e-04, +7.016679e-02, -7.845569e-08, +2.085179e-03, +1.140406e-03
Tp  , +6.889049e-02, +7.016679e-02, +8.521205e+00, -9.255553e-06, +2.478166e-01, +1.340108e-01
node, -6.635650e-08, -7.845569e-08, -9.255553e-06, +1.051810e-11, -2.729018e-07, -1.526657e-07
peri, +1.818704e-03, +2.085179e-03, +2.478166e-01, -2.729018e-07, +7.281572e-03, +3.958504e-03
i   , +9.450770e-04, +1.140406e-03, +1.340108e-01, -1.526657e-07, +3.958504e-03, +2.216780e-03

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: UK002N
  Avg. res. = 1.333e-06 s
  Stddev    = 1.15e-03 s

Begin point on the trajectory:
  Lon =     1.841834 +/- 0.0048 deg
  Lat =    50.258468 +/- 0.0018 deg
  Ht  = 106993.45 +/- 182.99 m
End point on the trajectory:
  Lon =     1.737756 +/- 0.0040 deg
  Lat =    50.174720 +/- 0.0013 deg
  Ht  = 96769.77 +/- 154.36 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,   0.000000,   0.000000,   106891.87,    96772.89,          0.012809,     39.28,     42.30,              56.90, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210813_233817_583_0318464.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,  23.017755,   0.000000,   106993.45,    96769.77,          0.011140,     37.51,     27.25,              67.59, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210813_233820_246_0319488.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,  0.045484, 2459440.484996982850,  20.59852,   9.43256,              104.01337,  23.13757,       104.02222,       23.14995,     20.59852,      +9.43256,      20.58447,       +9.43720,  3138123.62, -2722108.73,  4963386.86,      50.257639,       +1.840766,  106891.87,  260590.27,       0.00,             3119.14,    72.58,      0.00,           55628.60,    -49.42,    -45.83,          53.35,  +3.43,  +1.35
  1,     UK002B,       0,  0.085504, 2459440.484997446183,  20.42858,   9.04778,              104.41576,  22.93992,       104.40226,       22.92109,     20.42858,      +9.04778,      20.45066,       +9.04071,  3137509.64, -2722973.03,  4961419.49,      50.245817,       +1.826046,  105444.83,  259397.29,    2234.85,             5353.98,    14.88,  55843.23,           55628.60,     74.85,     69.54,          81.24,  +1.49,  -0.58
  2,     UK002B,       0,  0.125576, 2459440.484997909982,  20.31304,   8.63406,              104.79078,  22.68555,       104.79068,       22.68541,     20.31304,      +8.63406,      20.31375,       +8.63401,  3136885.72, -2723851.32,  4959420.28,      50.233797,       +1.811090,  103974.82,  258199.43,    4505.86,             7625.00,    -9.62,  56673.40,           55628.60,      0.56,      0.52,           0.61,  +1.39,  -0.67
  3,     UK002B,       0,  0.165608, 2459440.484998373315,  20.16281,   8.24937,              105.17450,  22.47451,       105.16266,       22.45814,     20.16281,      +8.24937,      20.18242,       +8.24322,  3136291.61, -2724687.64,  4957516.59,      50.222344,       +1.796842,  102575.47,  257071.86,    6668.37,             9787.50,  -140.35,  54019.41,           55628.60,     64.72,     60.12,          70.87,  +0.86,  -1.19
  4,     UK002B,       0,  0.205680, 2459440.484998837113,  20.02173,   7.78177,              105.60455,  22.19180,       105.60154,       22.18766,     20.02173,      +7.78177,      20.02740,       +7.78021,  3135594.54, -2725668.91,  4955282.96,      50.208897,       +1.780154,  100934.11,  255767.76,    9205.67,            12324.81,   101.43,  63318.59,           57041.63,     16.34,     15.17,          17.98,  +0.82,  -1.22
  5,     UK002B,       0,  0.245744, 2459440.484999300446,  19.90000,   7.36536,              105.98297,  21.93691,       105.99001,       21.94657,     19.90000,      +7.36536,      19.88987,       +7.36900,  3134981.31, -2726532.16,  4953318.00,      50.197060,       +1.765455,   99490.63,  254634.73,   11437.78,            14556.92,    38.47,  55713.61,           57255.42,    -38.00,    -35.26,          41.99,  +0.96,  -1.07
  6,     UK002B,       0,  0.285792, 2459440.484999764245,  19.74234,   6.92077,              106.40911,  21.68079,       106.41093,       21.68327,     19.74234,      +6.92077,      19.74068,       +6.92171,  3134320.48, -2727462.40,  4951200.53,      50.184297,       +1.749628,   97935.61,  253431.02,   13843.13,            16962.26,   149.67,  60061.63,           57632.38,     -9.74,     -9.04,          10.81,  +1.19,  -0.83
  7,     UK002B,       0,  0.325836, 2459440.485000227578,  19.63157,   6.58285,              106.72446,  21.48005,       106.72756,       21.48427,     19.63157,      +6.58285,      19.62807,       +6.58444,  3133826.25, -2728158.13,  4949616.85,      50.174746,       +1.737749,   96772.89,  252539.39,   15642.12,            18761.25,  -345.26,  44925.32,           56730.79,    -16.52,    -15.34,          18.41,  +2.74,  +0.73
  0,     UK002N,       1,  0.000000, 2459440.484996385872,   7.76360,   3.37298,              120.03996,  25.89351,       120.04561,       25.90072,      7.76360,      +3.37298,       7.75541,       +3.37628,  3138997.35, -2720878.78,  4966186.55,      50.274450,       +1.861693,  108951.83,  241006.07,       0.00,               61.18,  -379.82,      0.00,           60152.65,    -21.82,    -30.00,          31.75,  +4.72,  +2.81
  1,     UK002N,       0,  0.040432, 2459440.484996853862,   7.48150,   2.76426,              120.66830,  25.53378,       120.65326,       25.51474,      7.48150,      +2.76426,       7.50339,       +2.75553,  3138166.71, -2722048.07,  4963524.96,      50.258468,       +1.841834,  106993.45,  239877.40,    3023.45,             2962.27,   205.12,  74778.70,           60152.65,     57.54,     79.21,          84.18,  +2.76,  +0.86
  2,     UK002N,       0,  0.080756, 2459440.484997320455,   7.31477,   2.31960,              121.08837,  25.24839,       121.08184,       25.24015,      7.31477,      +2.31960,       7.32452,       +2.31582,  3137582.98, -2722869.79,  4961654.51,      50.247230,       +1.827830,  105617.67,  239101.30,    5148.19,             5087.01,    19.91,  52691.75,           60152.65,     24.86,     34.21,          36.48,  +1.38,  -0.51
  3,     UK002N,       0,  0.121100, 2459440.484997787513,   7.14174,   1.84715,              121.52879,  24.94174,       121.53367,       24.94786,      7.14174,      +1.84715,       7.13523,       +1.84997,  3136968.63, -2723734.60,  4959685.96,      50.235394,       +1.813100,  104170.15,  238302.80,    7384.38,             7323.20,   -55.01,  55427.95,           60152.65,    -18.48,    -25.41,          27.20,  +1.03,  -0.86
  4,     UK002N,       0,  0.161448, 2459440.484998254571,   6.94550,   1.36750,              121.99292,  24.64007,       121.99702,       24.64519,      6.94550,      +1.36750,       6.94030,       +1.36986,  3136339.74, -2724619.89,  4957670.83,      50.223272,       +1.798026,  102688.83,  237504.74,    9673.48,             9612.30,   -77.24,  56734.01,           58747.97,    -15.43,    -21.22,          22.79,  +0.83,  -1.05
  5,     UK002N,       0,  0.201804, 2459440.484998721629,   6.72907,   0.86385,              122.48760,  24.32733,       122.48452,       24.32350,      6.72907,      +0.86385,       6.73433,       +0.86208,  3135679.14, -2725549.81,  4955554.07,      50.210530,       +1.782201,  101133.29,  236687.95,   12078.03,            12016.84,    15.51,  59583.26,           58465.78,     11.55,     15.89,          17.12,  +0.67,  -1.20
  6,     UK002N,       0,  0.242188, 2459440.484999189153,   6.52874,   0.33680,              122.97833,  23.98466,       122.98339,       23.99092,      6.52874,      +0.33680,       6.52253,       +0.33970,  3135004.23, -2726499.89,  4953391.45,      50.197503,       +1.766038,   99544.58,  235876.16,   14534.66,            14473.48,   158.75,  60831.90,           58618.69,    -18.84,    -25.92,          28.02,  +0.61,  -1.25
  7,     UK002N,       0,  0.282520, 2459440.484999655746,   6.32153,  -0.13405,              123.44084,  23.69198,       123.43626,       23.68634,      6.32153,      -0.13405,       6.32924,       -0.13668,  3134392.72, -2727360.70,  4951432.01,      50.185693,       +1.751379,   98105.57,  235159.64,   16760.50,            16699.31,    74.17,  55187.83,           58396.67,     16.96,     23.35,          25.31,  +0.96,  -0.90
  8,     UK002N,       0,  0.322836, 2459440.485000122339,   6.13734,  -0.57761,              123.86440,  23.40929,       123.85745,       23.40076,      6.13734,      -0.57761,       6.14857,       -0.58159,  3133824.91, -2728160.01,  4949612.58,      50.174720,       +1.737756,   96769.77,  234510.72,   18827.28,            18766.10,  -168.55,  51264.70,           57818.11,     25.63,     35.29,          38.36,  +1.75,  -0.10

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.