Orbital Analysis for matched events on 20210813_001848.144_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 62.29° Bg 37.67° Vg 57.93km/s
mass 0.07525g, abs. mag -1.8
Path Details
------------
start -3.53° 54.34° 106.39km
end   -3.66° 54.27° 95.20km

Orbit Details
-------------
Semimajor axis 5.12A.U., eccentricity 0.81, inclination 113.56°, Period 11.60Y, LA Sun 140.20°, last Perihelion 2021-07-21

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: 2459439.513057222590
Time: 2021-08-13 00:18:48.144032 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002Z
 Convergence angle = 30.13851 deg
 R.A. =  47.13733  Dec = +56.47763 deg

Best intersection: Stations UK001L and UK002Z with Qconv = 30.14 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3019398.57 +/- 108.82 m
 Y =  -2288899.80 +/- 109.78 m
 Z =   5245196.48 +/- 210.12 m
 Vx =    21620.11 +/- 1108.88 m/s
 Vy =    23292.67 +/- 1236.95 m/s
 Vz =    49688.86 +/- 1196.40 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.227761e+03, +3.474042e+03, -3.339201e+03, +2.275139e+04, +2.561704e+04, -2.810864e+04
+3.474042e+03, +4.491105e+03, -3.877346e+03, +2.503476e+04, +3.119977e+04, -3.037839e+04
-3.339201e+03, -3.877346e+03, +1.098488e+04, -1.291333e+04, -1.727579e+04, +2.448148e+04
+2.275139e+04, +2.503476e+04, -1.291333e+04, +2.549027e+05, +2.765664e+05, -2.915474e+05
+2.561704e+04, +3.119977e+04, -1.727579e+04, +2.765664e+05, +3.256167e+05, -3.213268e+05
-2.810864e+04, -3.037839e+04, +2.448148e+04, -2.915474e+05, -3.213268e+05, +3.532271e+05

Timing offsets (from input data):
    UK001L: 0.000000 s
    UK002Z: 0.000268 s

Reference point on the trajectory:
  Time: 2021-08-13 00:18:48.144032 UTC
  Lon     = +-3.528019 +/- 0.0023 deg
  Lat     = +54.336728 +/- 0.0012 deg
  Lat geo = +54.157241 +/- 0.0013 deg
  Ht      =  106428.03 +/- 159.79 m

  JD dynamic   = 2459439.513857963495 
  LST apparent = 322.8355144680 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  47.13273 +/- 0.3126 deg
  Dec       = +57.39771 +/- 1.5951 deg
  Azimuth   =  50.13934 +/- 1.9659 deg
  Elevation = +45.69683 +/- 0.8752 deg
  Vavg      =  58.67952 +/- 0.3252 km/s
  Vinit     =  58.98271 +/- 0.4363 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  47.18180 +/- 0.3126 deg
  Dec       = +57.17329 +/- 1.5951 deg
  Azimuth   =  50.38436 +/- 1.9659 deg
  Elevation = +45.54950 +/- 0.8752 deg
  Vavg      =  58.82811 +/- 0.3252 km/s
  Vinit     =  59.13130 +/- 0.4363 km/s
Radiant (geocentric, J2000):
  R.A.   =  47.36581 +/- 0.3103 deg
  Dec    = +57.08123 +/- 1.6114 deg
  Vg     =  57.92891 +/- 0.4441 km/s
  Vinf   =  58.98271 +/- 0.4363 km/s
  Zc     =  44.41837 +/- 0.8708 deg
  Zg     =  44.84008 +/- 0.8852 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  62.28696 +/- 0.7313 deg
  Bg     = +37.67316 +/- 1.5187 deg
  Vh     =  39.72381 +/- 1.1510 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  81.24229 +/- 2.5406 deg
  Bh     = +63.03142 +/- 1.3940 deg
  Vh_x   =  -2.74287 +/- 0.8022 km/s
  Vh_y   = -17.80479 +/- 0.3836 km/s
  Vh_z   = -35.40406 +/- 1.4580 km/s
Orbit:
  La Sun = 140.201038 +/- 0.0000 deg
  a      =   5.124686 +/- 17.8867 AU
  e      =   0.814332 +/- 0.1021
  i      = 113.555461 +/- 1.7886 deg
  peri   = 149.791793 +/- 1.3513 deg
  node   = 140.200172 +/- 0.0001 deg
  Pi     = 289.991966 +/- 1.3514 deg
  q      =   0.951489 +/- 0.0026 AU
  f      =  30.204236 +/- 1.3513 deg
  M      =   1.871824 +/- nan deg
  Q      =   9.297883 +/- 35.7752 AU
  n      =   0.084958 +/- 0.0293 deg/day
  T      =  11.601163 +/- 489897934.7571 years
  Last perihelion JD = 2459417.481462 (2021-07-21 23:33:18.290563) +/- 0.7289 days
  Tj     =   0.555192 +/- 0.5351
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.243693e-03, +3.680820e-05, +3.371089e-02, +6.656460e-08, +5.240257e-04, -8.980806e-04
q   , +3.680820e-05, +2.142547e-06, +8.115048e-04, +1.244200e-09, +1.542255e-05, -1.674906e-05
Tp  , +3.371089e-02, +8.115048e-04, +5.502578e-01, +1.032568e-06, +9.025069e-03, -1.392304e-02
node, +6.656460e-08, +1.244200e-09, +1.032568e-06, +2.168801e-12, +1.632563e-08, -2.921644e-08
peri, +5.240257e-04, +1.542255e-05, +9.025069e-03, +1.632563e-08, +1.527453e-04, -2.200678e-04
i   , -8.980806e-04, -1.674906e-05, -1.392304e-02, -2.921644e-08, -2.200678e-04, +3.935928e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 38.993973
 a2 = -0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK001L
  Avg. res. = 1.075e-06 s
  Stddev    = 1.04e-03 s

Begin point on the trajectory:
  Lon =    -3.528404 +/- 0.0022 deg
  Lat =    54.336540 +/- 0.0012 deg
  Ht  = 106394.03 +/- 141.57 m
End point on the trajectory:
  Lon =    -3.656466 +/- 0.0032 deg
  Lat =    54.274426 +/- 0.0007 deg
  Ht  = 95196.95 +/- 96.21 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,  64.358194,   0.000001,   106394.03,    97935.60,          0.017547,     67.74,     74.78,              67.89, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20210813_001846_147_0350208.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,  10.033794,   3.433602,   105354.11,    95196.95,          0.009268,      8.76,     39.57,              88.06, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210813_001843_903_0364288.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, 2459439.513057222590, 187.78099,  49.12514,              332.28030,  17.34612,       332.29303,       17.33284,    187.78099,     +49.12514,     187.75541,      +49.11854,  3019381.16, -2288918.56,  5245156.46,      54.336540,       -3.528404,  106394.03,  331017.59,       0.00,               47.51,  -190.87,      0.00,           60105.92,     77.09,     69.76,          64.78,  +3.51,  +0.91
  1,     UK001L,       0,  0.040280, 2459439.513057688717, 187.95105,  48.71519,              331.98680,  17.02686,       331.96642,       17.04808,    187.95105,     +48.71519,     187.99189,      +48.72568,  3018426.60, -2289946.96,  5242962.63,      54.326234,       -3.549686,  104530.58,  330082.89,    2604.16,             2651.67,    37.46,  64651.49,           60105.92,   -122.97,   -111.47,         103.72,  +1.60,  -0.99
  2,     UK001L,       0,  0.080472, 2459439.513058153912, 188.21235,  48.38856,              331.67418,  16.80973,       331.68328,       16.80026,    188.21235,     +48.38856,     188.19462,      +48.38391,  3017601.77, -2290835.61,  5241066.93,      54.317320,       -3.568100,  102920.77,  329290.44,    4854.44,             4901.95,   -82.89,  55988.10,           60105.92,     54.84,     49.63,          46.33,  +1.30,  -1.29
  3,     UK001L,       0,  0.120728, 2459439.513058620039, 188.39259,  48.00322,              331.38408,  16.51700,       331.37359,       16.52789,    188.39259,     +48.00322,     188.41379,      +48.00854,  3016701.11, -2291805.94,  5238996.98,      54.307579,       -3.588193,  101163.40,  328440.19,    7311.55,             7359.06,    -0.19,  61037.25,           60105.92,    -63.00,    -57.08,          53.39,  +1.42,  -1.16
  4,     UK001L,       0,  0.160960, 2459439.513059085701, 188.62192,  47.62919,              331.06764,  16.24972,       331.06353,       16.25397,    188.62192,     +47.62919,     188.63064,      +47.63126,  3015801.46, -2292775.19,  5236929.34,      54.297841,       -3.608264,   99408.43,  327607.18,    9765.92,             9813.43,    81.19,  61005.36,           60241.75,    -24.60,    -22.28,          20.90,  +2.34,  -0.24
  5,     UK001L,       0,  0.201172, 2459439.513059550896, 188.78777,  47.30674,              330.81417,  16.01044,       330.80244,       16.02257,    188.78777,     +47.30674,     188.81144,      +47.31261,  3015046.28, -2293588.79,  5235193.73,      54.289660,       -3.625141,   97935.60,  326921.45,   11826.16,            11873.67,  -230.38,  51234.50,           58994.64,    -70.02,    -63.43,          59.61,  +2.09,  -0.48
  0,     UK002Z,       0,  0.021399, 2459439.513057421427, 231.68640,  33.31152,              294.32483,  23.85964,       294.32729,       23.85789,    231.68640,     +33.31152,     231.68307,      +33.31164,  3018848.49, -2289492.44,  5243932.23,      54.330790,       -3.540258,  105354.11,  250420.93,       0.00,             1500.72,     0.19,      0.00,           58539.42,     12.14,      2.69,          10.24,  +2.65,  +0.66
  1,     UK002Z,       0,  0.061823, 2459439.513057889417, 231.66239,  32.76918,              293.95857,  23.43306,       293.96353,       23.42952,    231.66239,     +32.76918,     231.65578,      +32.76943,  3017981.25, -2290426.77,  5241939.09,      54.321422,       -3.559610,  103661.35,  250408.84,    2365.94,             3866.66,   -18.18,  58528.16,           58539.42,     24.62,      5.45,          20.77,  +1.49,  -0.50
  2,     UK002Z,       0,  0.102251, 2459439.513058356941, 231.63709,  32.21574,              293.58801,  22.99628,       293.59474,       22.99150,    231.63709,     +32.21574,     231.62826,      +32.21607,  3017096.16, -2291380.33,  5239904.92,      54.311853,       -3.579358,  101934.18,  250419.46,    4780.58,             6281.30,    11.90,  59726.93,           58539.42,     33.40,      7.40,          28.18,  +1.03,  -0.96
  3,     UK002Z,       0,  0.142663, 2459439.513058824930, 231.59473,  31.68877,              293.25052,  22.56946,       293.24537,       22.57311,    231.59473,     +31.68877,     231.60235,      +31.68852,  3016252.32, -2292289.46,  5237965.53,      54.302722,       -3.598196,  100287.87,  250451.81,    7082.72,             8583.43,   -69.57,  56966.58,           58539.42,    -25.58,     -5.67,          21.58,  +0.83,  -1.16
  4,     UK002Z,       0,  0.183079, 2459439.513059292454, 231.58016,  31.14924,              292.88706,  22.14726,       292.89054,       22.14479,    231.58016,     +31.14924,     231.57617,      +31.14941,  3015389.65, -2293218.86,  5235982.90,      54.293380,       -3.617450,   98605.24,  250506.64,    9436.19,            10936.90,   -99.95,  58231.12,           58360.11,     17.34,      3.84,          14.62,  +1.05,  -0.94
  5,     UK002Z,       0,  0.223539, 2459439.513059760910, 231.56972,  30.54392,              292.47779,  21.67576,       292.49515,       21.66349,    231.56972,     +30.54392,     231.54712,      +30.54477,  3014421.32, -2294262.10,  5233757.41,      54.282885,       -3.639044,   96717.01,  250593.47,   12077.92,            13578.64,   155.35,  65292.62,           59300.25,     86.57,     19.16,          72.98,  +1.11,  -0.88
  6,     UK002Z,       0,  0.263919, 2459439.513060228433, 231.52983,  30.05776,              292.17367,  21.27895,       292.17875,       21.27536,    231.52983,     +30.05776,     231.52406,      +30.05800,  3013641.62, -2295102.12,  5231965.45,      54.274426,       -3.656466,   95196.95,  250685.55,   14205.06,            15705.77,   -99.24,  52677.85,           58927.14,     25.37,      5.62,          21.38,  +1.37,  -0.63

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.