Orbital Analysis for matched events on 20210813_004746.938_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.83° Bg 38.70° Vg 57.98km/s
mass 0.01264g, abs. mag 0.1
Path Details
------------
start 0.11° 51.09° 108.70km
end   -0.06° 51.00° 91.48km

Orbit Details
-------------
Semimajor axis 8.31A.U., eccentricity 0.89, inclination 111.64°, Period 23.94Y, LA Sun 140.22°, last Perihelion 2021-07-20

Full details below
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Detailed report below graphs

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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: 2459439.533182154875
Time: 2021-08-13 00:47:46.968115 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002B
 Convergence angle = 24.72906 deg
 R.A. =  49.29906  Dec = +58.28993 deg
Intersection 2 - Stations: UK000F and UK002C
 Convergence angle = 17.29009 deg
 R.A. =  53.68679  Dec = +60.08651 deg
Intersection 3 - Stations: UK002B and UK002C
 Convergence angle = 7.50796 deg
 R.A. =  44.82023  Dec = +52.24923 deg

Best intersection: Stations UK000F and UK002B with Qconv = 24.73 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3661101.63 +/- 373.00 m
 Y =  -1806940.29 +/- 276.27 m
 Z =   5023950.47 +/- 495.85 m
 Vx =    19566.54 +/- 957.65 m/s
 Vy =    23317.88 +/- 631.66 m/s
 Vz =    50575.07 +/- 1162.25 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.201951e+05, +9.161425e+04, +1.671260e+05, +2.550784e+05, +1.132201e+05, +4.788912e+04
+9.161425e+04, +7.191918e+04, +1.303598e+05, +1.845865e+05, +8.790746e+04, +2.900927e+04
+1.671260e+05, +1.303598e+05, +2.382521e+05, +3.347274e+05, +1.520619e+05, +5.234635e+04
+2.550784e+05, +1.845865e+05, +3.347274e+05, +7.217671e+05, +2.815669e+05, +1.228995e+05
+1.132201e+05, +8.790746e+04, +1.520619e+05, +2.815669e+05, +1.557850e+05, +7.035104e+04
+4.788912e+04, +2.900927e+04, +5.234635e+04, +1.228995e+05, +7.035104e+04, +1.596848e+05

Timing offsets (from input data):
    UK000F: -0.006870 s
    UK002B: 0.000000 s
    UK002C: -0.005308 s

Reference point on the trajectory:
  Time: 2021-08-13 00:47:46.968115 UTC
  Lon     = ++0.102842 +/- 0.0058 deg
  Lat     = +51.085915 +/- 0.0014 deg
  Lat geo = +50.900838 +/- 0.0014 deg
  Ht      =  108421.01 +/- 517.65 m

  JD dynamic   = 2459439.533983242232 
  LST apparent = 333.7313120498 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  49.99926 +/- 0.7675 deg
  Dec       = +58.95749 +/- 0.6289 deg
  Azimuth   =  48.51558 +/- 1.0748 deg
  Elevation = +48.03454 +/- 0.2329 deg
  Vavg      =  57.02162 +/- 1.2291 km/s
  Vinit     =  59.02890 +/- 0.9530 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.13104 +/- 0.7675 deg
  Dec       = +58.71752 +/- 0.6289 deg
  Azimuth   =  48.80024 +/- 1.0748 deg
  Elevation = +47.87363 +/- 0.2329 deg
  Vavg      =  57.17132 +/- 1.2291 km/s
  Vinit     =  59.17860 +/- 0.9530 km/s
Radiant (geocentric, J2000):
  R.A.   =  50.26892 +/- 0.7863 deg
  Dec    = +58.71815 +/- 0.6292 deg
  Vg     =  57.97646 +/- 0.9693 km/s
  Vinf   =  59.02890 +/- 0.9530 km/s
  Zc     =  42.08825 +/- 0.2337 deg
  Zg     =  42.48482 +/- 0.2413 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.83111 +/- 0.7308 deg
  Bg     = +38.70253 +/- 0.4908 deg
  Vh     =  40.54979 +/- 0.7918 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  87.88680 +/- 2.4027 deg
  Bh     = +63.38114 +/- 0.7211 deg
  Vh_x   =  -0.66994 +/- 0.8807 km/s
  Vh_y   = -18.15611 +/- 0.6527 km/s
  Vh_z   = -36.25179 +/- 0.5962 km/s
Orbit:
  La Sun = 140.220362 +/- -0.0000 deg
  a      =   8.305828 +/- 23.5334 AU
  e      =   0.887732 +/- 0.0705
  i      = 111.639135 +/- 1.1731 deg
  peri   = 146.150399 +/- 2.0711 deg
  node   = 140.219955 +/- 0.0001 deg
  Pi     = 286.370354 +/- 2.0710 deg
  q      =   0.932482 +/- 0.0073 AU
  f      =  33.845844 +/- 2.0711 deg
  M      =   0.980361 +/- nan deg
  Q      =  15.679173 +/- 47.0665 AU
  n      =   0.041175 +/- 0.0185 deg/day
  T      =  23.937291 +/- 399999944.6342 years
  Last perihelion JD = 2459415.724160 (2021-07-20 05:22:47.404425) +/- 1.2213 days
  Tj     =   0.197653 +/- 0.4086
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.440432e-03, +1.547776e-04, +3.899967e-02, -2.703043e-08, +8.400447e-04, +3.741873e-04
q   , +1.547776e-04, +5.194346e-05, +9.211036e-03, -9.197088e-09, +2.314204e-04, +1.272816e-04
Tp  , +3.899967e-02, +9.211036e-03, +1.769813e+00, -1.624124e-06, +4.281624e-02, +2.247688e-02
node, -2.703043e-08, -9.197088e-09, -1.624124e-06, +1.966036e-12, -4.088142e-08, -2.716617e-08
peri, +8.400447e-04, +2.314204e-04, +4.281624e-02, -4.088142e-08, +1.054260e-03, +5.657418e-04
i   , +3.741873e-04, +1.272816e-04, +2.247688e-02, -2.716617e-08, +5.657418e-04, +3.754167e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 26.166051
 a2 = 7.391569

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 2.477e-06 s
  Stddev    = 1.57e-03 s

Begin point on the trajectory:
  Lon =     0.105488 +/- 0.0047 deg
  Lat =    51.087389 +/- 0.0007 deg
  Ht  = 108700.82 +/- 417.12 m
End point on the trajectory:
  Lon =    -0.059318 +/- 0.0067 deg
  Lat =    50.996257 +/- 0.0009 deg
  Ht  = 91475.32 +/- 483.15 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   108231.84,    99697.67,          0.013026,     33.58,     19.18,              56.89, 0.7017,    True,    True, {"ff_name": "FF_UK000F_20210813_004743_703_0391168.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,  43.835651,   6.015302,   108700.82,    91475.32,          0.021943,     32.08,     44.40,              16.58, 0.0815,    True,    True, {"ff_name": "FF_UK002B_20210813_004740_253_0419328.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   107189.70,   100450.00,          0.028068,     55.54,     61.24,              38.62, 0.3896,    True,    True, {"ff_name": "FF_UK002C_20210813_004742_736_0412160.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,     UK000F,       0,  0.003610, 2459439.533182397019,   8.70818,   9.66959,              131.68141,  38.46335,       131.70213,       38.48371,      8.70818,      +9.66959,       8.68386,       +9.68000,  3661017.29, -1807040.79,  5023732.48,      51.084919,       +0.101091,  108231.84,  171559.43,       0.00,              254.42,   361.34,      0.00,           56847.51,    -38.68,    -67.68,          93.72,  +2.09,  +0.92
  1,     UK000F,       0,  0.043930, 2459439.533182863612,   8.46175,   9.19986,              132.23421,  38.16069,       132.22966,       38.15626,      8.46175,      +9.19986,       8.46709,       +9.19759,  3660406.08, -1807769.19,  5022152.64,      51.077698,       +0.087959,  106860.94,  170590.22,    1843.92,             2098.34,  -174.78,  45732.17,           56847.51,      8.41,     14.74,          20.51,  +1.06,  -0.10
  2,     UK000F,       0,  0.084414, 2459439.533183332067,   8.15924,   8.51155,              132.97193,  37.68691,       132.97061,       37.68564,      8.15924,      +8.51155,       8.16099,       +8.51090,  3659548.21, -1808791.54,  5019935.22,      51.067554,       +0.069593,  104937.17,  169257.30,    4431.98,             4686.41,    23.55,  63928.00,           56847.51,      2.41,      4.23,           5.93,  +0.73,  -0.41
  3,     UK000F,       0,  0.124866, 2459439.533183800522,   7.88087,   7.87223,              133.64678,  37.24224,       133.64982,       37.24515,      7.88087,      +7.87223,       7.87775,       +7.87374,  3658764.23, -1809725.83,  5017908.81,      51.058276,       +0.052791,  103179.50,  168064.37,    6797.12,             7051.54,     0.85,  58467.73,           56847.51,     -5.51,     -9.65,          13.64,  +0.50,  -0.63
  4,     UK000F,       0,  0.165314, 2459439.533184268512,   7.61061,   7.23621,              134.30369,  36.79369,       134.31535,       36.80477,      7.61061,      +7.23621,       7.59778,       +7.24197,  3657997.81, -1810639.18,  5015927.79,      51.049199,       +0.036360,  101461.56,  166922.33,    9109.27,             9363.69,   -74.60,  57163.56,           57308.71,    -20.92,    -36.65,          52.15,  +0.73,  -0.38
  5,     UK000F,       0,  0.205762, 2459439.533184736501,   7.29816,   6.58759,              135.00730,  36.34916,       135.00004,       36.34232,      7.29816,      +6.58759,       7.30720,       +6.58402,  3657210.73, -1811577.16,  5013893.37,      51.039870,       +0.019488,   99697.67,  165775.22,   11483.76,            11738.18,   -87.71,  58704.64,           57639.89,     12.90,     22.62,          32.39,  +1.81,  +0.71
  0,     UK002B,       0,  0.000000, 2459439.533182501327,  39.76131,  42.38203,               73.14285,  44.51401,        73.13802,       44.50313,     39.76131,     +42.38203,      39.77597,      +42.37860,  3661226.36, -1806791.64,  5024272.87,      51.087389,       +0.105488,  108700.82,  153724.04,       0.00,              376.30,   696.31,      0.00,           58304.16,     24.81,     17.95,          41.09,  +2.11,  +1.18
  1,     UK002B,       0,  0.040048, 2459439.533182965126,  39.64904,  42.13628,               73.49152,  44.44051,        73.48530,       44.42666,     39.64904,     +42.13628,      39.66784,      +42.13192,  3660474.51, -1807687.64,  5022329.51,      51.078506,       +0.089374,  107014.41,  151557.34,    2268.20,             1891.90,  -152.08,  56637.06,           58304.16,     31.15,     22.55,          52.34,  +1.30,  +0.40
  2,     UK002B,       0,  0.080088, 2459439.533183428459,  39.50802,  41.87957,               73.86955,  44.37764,        73.85426,       44.34394,     39.50802,     +41.87957,      39.55367,      +41.86896,  3659696.61, -1808614.68,  5020318.81,      51.069309,       +0.072706,  105269.93,  149319.21,    4615.00,             4238.70,  -168.80,  58611.31,           58304.16,     74.72,     54.23,         127.54,  +1.29,  +0.42
  3,     UK002B,       0,  0.120188, 2459439.533183892723,  39.45405,  41.58844,               74.23344,  44.24135,        74.24017,       44.25585,     39.45405,     +41.58844,      39.43496,      +41.59297,  3658904.94, -1809558.14,  5018272.52,      51.059942,       +0.055743,  103494.94,  147045.25,    7003.34,             6627.04,  -147.52,  59559.59,           58304.16,    -31.80,    -22.95,          55.00,  +1.03,  +0.19
  4,     UK002B,       0,  0.160244, 2459439.533184356056,  39.31233,  41.28603,               74.66242,  44.15108,        74.66513,       44.15683,     39.31233,     +41.28603,      39.30521,      +41.28782,  3658058.17, -1810567.25,  5016083.82,      51.049914,       +0.037609,  101596.85,  144617.92,    9557.89,             9181.59,    42.57,  63774.46,           59533.97,    -12.42,     -8.97,          21.85,  +0.98,  +0.18
  5,     UK002B,       0,  0.200296, 2459439.533184819855,  39.19494,  41.01618,               75.03901,  44.06440,        75.04077,       44.06811,     39.19494,     +41.01618,      39.19074,      +41.01733,  3657329.85, -1811435.20,  5014201.28,      51.041283,       +0.021986,   99964.61,  142532.69,   11755.10,            11378.80,  -124.44,  54859.04,           59217.61,     -7.89,     -5.70,          14.09,  +1.66,  +0.89
  6,     UK002B,       0,  0.240376, 2459439.533185283653,  39.15184,  40.78474,               75.32573,  43.95440,        75.34568,       43.99560,     39.15184,     +40.78474,      39.09765,      +40.79746,  3656751.78, -1812124.11,  5012707.09,      51.034427,       +0.009549,   98669.29,  140878.46,   13499.06,            13122.75,  -746.37,  43511.83,           57421.05,    -87.04,    -62.68,         157.05,  +3.89,  +3.15
  7,     UK002B,       0,  0.320504, 2459439.533186210785,  38.83633,  40.09135,               76.29712,  43.73612,        76.30762,       43.75718,     38.83633,     +40.09135,      38.80958,      +40.09784,  3655006.73, -1814203.71,  5008196.55,      51.013707,       -0.027829,   94760.40,  135907.84,   18763.55,            18387.25,  -211.74,  65701.09,           58085.86,    -43.05,    -31.10,          80.60,  +1.39,  +0.72
  8,     UK002B,       0,  0.360572, 2459439.533186674584,  38.70372,  39.76453,               76.74333,  43.62203,        76.75416,       43.64345,     38.70372,     +39.76453,      38.67673,      +39.77111,  3654232.99, -1815125.80,  5006196.60,      51.004508,       -0.044426,   93027.79,  133710.43,   21097.80,            20721.50,  -242.66,  58257.20,           58332.11,    -43.15,    -31.18,          82.13,  +0.99,  +0.36
  9,     UK002B,       0,  0.400620, 2459439.533187138382,  38.55657,  39.46842,               77.16402,  43.53455,        77.16533,       43.53713,     38.55657,     +39.46842,      38.55475,      +39.46921,  3653539.56, -1815952.18,  5004404.23,      50.996257,       -0.059318,   91475.32,  131744.40,   23189.76,            22813.46,  -514.68,  52236.34,           58144.58,     -5.13,     -3.71,           9.91,  +1.56,  +0.96
  0,     UK002C,       0,  0.031680, 2459439.533182715066,  28.49165,  21.72601,              102.17944,  37.43947,       102.17079,       37.42844,     28.49165,     +21.72601,      28.50502,      +21.72221,  3660552.67, -1807594.50,  5022531.53,      51.079430,       +0.091122,  107189.70,  173736.93,       0.00,             1656.12,   106.09,      0.00,           58743.60,     29.21,     26.44,          46.77,  +2.44,  +1.24
  1,     UK002C,       0,  0.071884, 2459439.533183180261,  28.31559,  21.26578,              102.71432,  37.19926,       102.69229,       37.17139,     28.31559,     +21.26578,      28.34956,      +21.25617,  3659800.88, -1808490.42,  5020588.34,      51.070543,       +0.075008,  105503.75,  172003.96,    2268.00,             3924.12,     0.89,  56412.20,           58743.60,     73.25,     66.40,         118.55,  +1.46,  +0.28
  2,     UK002C,       0,  0.112128, 2459439.533183646388,  28.18876,  20.78581,              103.21895,  36.91253,       103.21620,       36.90909,     28.18876,     +20.78581,      28.19327,      +20.78462,  3659055.47, -1809378.74,  5018661.63,      51.061724,       +0.059026,  103832.43,  170298.13,    4516.77,             6172.89,  -125.90,  55878.49,           58743.60,      9.00,      8.14,          14.70,  +1.23,  +0.07
  3,     UK002C,       0,  0.152380, 2459439.533184112050,  27.98919,  20.23020,              103.84619,  36.61067,       103.83310,       36.59443,     27.98919,     +20.23020,      28.00943,      +20.22460,  3658189.68, -1810410.53,  5016423.74,      51.051472,       +0.040488,  101891.61,  168334.50,    7128.73,             8784.85,   110.03,  64890.18,           58743.60,     42.12,     38.16,          69.64,  +1.24,  +0.11
  4,     UK002C,       0,  0.192560, 2459439.533184577245,  27.82092,  19.81407,              104.33031,  36.39450,       104.29778,       36.35439,     27.82092,     +19.81407,      27.87033,      +19.80020,  3657546.45, -1811177.07,  5014761.14,      51.043850,       +0.026670,  100450.00,  166884.93,    9069.23,            10725.35,  -321.25,  48295.23,           57176.08,    103.33,     93.76,         172.45,  +3.51,  +2.40

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.