Orbital Analysis for matched events on 20210929_023727.163_UK

Summary for Event
-----------------
shower ID 715 ACL
Lg 79.50° Bg 39.72° Vg 55.61km/s
mass 0.00462g, abs. mag 1.0
Path Details
------------
start -1.71° 50.12° 108.19km
end   -1.74° 50.10° 99.99km

Orbit Details
-------------
Semimajor axis 3.98A.U., eccentricity 0.78, inclination 107.65°, Period 7.93Y, LA Sun 185.88°, last Perihelion 2013-11-21

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: 2459486.609342171345
Time: 2021-09-29 02:37:27.163604 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0009 and UK000H
 Convergence angle = 19.19343 deg
 R.A. =  72.23462  Dec = +61.81355 deg

Best intersection: Stations UK0009 and UK000H with Qconv = 19.19 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2908504.11 +/- 216.15 m
 Y =   2983857.72 +/- 127.46 m
 Z =   4954426.92 +/- 40.77 m
 Vx =     7902.54 +/- 2799.04 m/s
 Vy =    24997.33 +/- 1810.83 m/s
 Vz =    50277.08 +/- 2249.78 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.767716e+04, +2.590374e+04, +3.489931e+03, +5.274984e+05, +3.188095e+05, +1.195462e+05
+2.590374e+04, +1.603130e+04, +2.122695e+03, +2.663125e+05, +1.735862e+05, +6.070330e+04
+3.489931e+03, +2.122695e+03, +2.219990e+03, +1.838595e+04, -5.174043e+02, +6.317018e+03
+5.274984e+05, +2.663125e+05, +1.838595e+04, +7.336624e+06, +4.507785e+06, +1.612212e+06
+3.188095e+05, +1.735862e+05, -5.174043e+02, +4.507785e+06, +2.973091e+06, +1.003700e+06
+1.195462e+05, +6.070330e+04, +6.317018e+03, +1.612212e+06, +1.003700e+06, +4.001220e+05

Timing offsets (from input data):
    UK0009: 0.000000 s
    UK000H: 0.000487 s

Reference point on the trajectory:
  Time: 2021-09-29 02:37:27.163604 UTC
  Lon     = +-1.713483 +/- 0.0011 deg
  Lat     = +50.121138 +/- 0.0016 deg
  Lat geo = +49.934833 +/- 0.0016 deg
  Ht      =  108093.87 +/- 163.83 m

  JD dynamic   = 2459486.610142912250 
  LST apparent = 45.7326787009 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  72.45641 +/- 5.1513 deg
  Dec       = +62.46044 +/- 1.9379 deg
  Azimuth   =  39.56981 +/- 2.0873 deg
  Elevation = +70.94997 +/- 2.8730 deg
  Vavg      =  54.66990 +/- 1.3167 km/s
  Vinit     =  56.70186 +/- 1.5844 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  73.04644 +/- 5.1513 deg
  Dec       = +62.33690 +/- 1.9379 deg
  Azimuth   =  40.28739 +/- 2.0873 deg
  Elevation = +70.76390 +/- 2.8730 deg
  Vavg      =  54.73385 +/- 1.3167 km/s
  Vinit     =  56.76581 +/- 1.5844 km/s
Radiant (geocentric, J2000):
  R.A.   =  72.31693 +/- 5.2527 deg
  Dec    = +62.51342 +/- 1.9584 deg
  Vg     =  55.60540 +/- 1.6165 km/s
  Vinf   =  56.70186 +/- 1.5844 km/s
  Zc     =  19.19400 +/- 2.8764 deg
  Zg     =  19.38316 +/- 2.9182 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  79.49848 +/- 3.3519 deg
  Bg     = +39.71885 +/- 1.6377 deg
  Vh     =  39.34499 +/- 1.1578 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  47.90497 +/- 3.8006 deg
  Bh     = +64.57817 +/- 4.3193 deg
  Vh_x   = -11.32241 +/- 2.7236 km/s
  Vh_y   = -12.53295 +/- 1.8311 km/s
  Vh_z   = -35.53528 +/- 0.2886 km/s
Orbit:
  La Sun = 185.883510 +/- nan deg
  a      =   3.978183 +/- 3.0246 AU
  e      =   0.777521 +/- 0.1007
  i      = 107.649117 +/- 2.3456 deg
  peri   = 222.813949 +/- 6.4841 deg
  node   = 185.884955 +/- 0.0000 deg
  Pi     =  48.698904 +/- 6.4841 deg
  q      =   0.885063 +/- 0.0359 AU
  f      = 317.185313 +/- 6.4841 deg
  M      = 356.331501 +/- 1.7926 deg
  Q      =   7.071302 +/- 6.0783 AU
  n      =   0.124216 +/- 0.0759 deg/day
  T      =   7.934649 +/- 12.7310 years
  Last perihelion JD = 2456617.962193 (2013-11-21 11:05:33.479959) +/- 4648.5074 days
  Tj     =   0.974810 +/- 0.5764
Shower association:
  IAU No.  =  715
  IAU code =  ACL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.072939e-02, -3.601477e-03, -4.251963e+02, -5.237939e-08, +1.013201e-02, +3.943390e-03
q   , -3.601477e-03, +1.268156e-03, +1.443583e+02, +1.851890e-08, -3.705248e-03, -1.395604e-03
Tp  , -4.251963e+02, +1.443583e+02, +2.823541e+07, +1.907205e-03, -3.751136e+02, -1.427052e+02
node, -5.237939e-08, +1.851890e-08, +1.907205e-03, +2.914735e-13, -5.429974e-08, -2.198353e-08
peri, +1.013201e-02, -3.705248e-03, -3.751136e+02, -5.429974e-08, +1.127358e-02, +4.098916e-03
i   , +3.943390e-03, -1.395604e-03, -1.427052e+02, -2.198353e-08, +4.098916e-03, +1.658206e-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: UK0009
  Avg. res. = 4.953e-06 s
  Stddev    = 2.23e-03 s

Begin point on the trajectory:
  Lon =    -1.713179 +/- 0.0011 deg
  Lat =    50.121374 +/- 0.0016 deg
  Ht  = 108194.42 +/- 149.29 m
End point on the trajectory:
  Lon =    -1.738666 +/- 0.0011 deg
  Lat =    50.102052 +/- 0.0018 deg
  Ht  = 99994.85 +/- 150.33 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
    UK0009,   False,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,   108194.42,    99994.85,          0.017228,     26.40,     46.21,              70.81, 1.0000,    True,    True, {"ff_name": "FF_UK0009_20210929_023725_132_0346880.fits"}
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   107064.73,   100745.79,          0.031787,     13.67,     73.48,              52.67, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210929_023722_614_0739328.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,     UK0009,       0,  0.000000, 2459486.609342171345,  25.93273,   0.85439,              206.09653,  36.66069,       206.07499,       36.65922,     25.93273,      +0.85439,      25.94894,       +0.84822,  2908518.94,  2983904.61,  4954521.25,      50.121374,       -1.713179,  108194.42,  178416.12,       0.00,              106.37,   345.29,      0.00,           56002.45,     46.88,     26.81,          62.43,  +4.24,  +2.98
  1,     UK0009,       0,  0.039812, 2459486.609342632350,  25.73717,   0.24867,              206.12281,  36.02453,       206.14576,       36.02610,     25.73717,      +0.24867,      25.71993,       +0.25529,  2908228.27,  2982985.16,  4952671.96,      50.116734,       -1.719309,  106223.05,  177740.16,    2085.60,             1979.22,   -39.28,  52386.14,           56002.45,    -50.18,    -28.66,          67.07,  +2.31,  +1.06
  2,     UK0009,       0,  0.079528, 2459486.609343091957,  25.46146,  -0.42308,              206.22077,  35.30278,       206.22462,       35.30304,     25.46146,      -0.42308,      25.45885,       -0.42196,  2907898.90,  2981943.32,  4950576.50,      50.111472,       -1.726236,  103989.32,  177000.28,    4448.84,             4342.46,    71.99,  59503.43,           56002.45,     -8.47,     -4.84,          11.36,  +2.18,  +0.94
  3,     UK0009,       0,  0.119312, 2459486.609343552496,  25.23590,  -1.06168,              206.26959,  34.62671,       206.29724,       34.62859,     25.23590,      -1.06168,      25.21505,       -1.05356,  2907594.15,  2980979.32,  4948637.61,      50.106600,       -1.732660,  101922.55,  176341.50,    6635.49,             6529.12,     2.82,  54963.21,           56002.45,    -61.02,    -34.85,          82.19,  +2.55,  +1.32
  4,     UK0009,       0,  0.159076, 2459486.609344012570,  25.00138,  -1.65307,              206.34367,  33.99349,       206.36467,       33.99492,     25.00138,      -1.65307,      24.98571,       -1.64686,  2907309.89,  2980080.15,  4946829.12,      50.102052,       -1.738666,   99994.85,  175749.66,    8675.08,             8568.71,  -212.28,  51292.34,           55073.13,    -46.52,    -26.58,          62.88,  +5.25,  +4.03
  0,     UK000H,       0,  0.019352, 2459486.609342389274,  47.55379,  12.74823,              177.02088,  51.85981,       176.93352,       51.84422,     47.55379,     +12.74823,      47.60971,      +12.73449,  2908352.37,  2983377.73,  4953461.52,      50.118715,       -1.716675,  107064.73,  135439.28,       0.00,             1088.77,   230.40,      0.00,           54606.84,    130.54,     24.29,         202.21,  +5.93,  +5.27
  1,     UK000H,       0,  0.059944, 2459486.609342859127,  47.41422,  12.05454,              177.27567,  51.17087,       177.25361,       51.16694,     47.41422,     +12.05454,      47.42872,      +12.05104,  2908063.55,  2982464.13,  4951624.01,      50.114103,       -1.722772,  105105.94,  134195.93,    2072.33,             3161.10,     1.08,  51052.55,           54606.84,     33.11,      6.13,          51.76,  +2.30,  +1.66
  2,     UK000H,       0,  0.100580, 2459486.609343329445,  47.24179,  11.32921,              177.57600,  50.45072,       177.58092,       50.45160,     47.24179,     +11.32921,      47.23900,      +11.33000,  2907764.54,  2981518.30,  4949721.66,      50.109325,       -1.729080,  103078.09,  132930.58,    4217.76,             5306.54,  -157.62,  52796.52,           54606.84,     -7.42,     -1.37,          11.70,  +2.20,  +1.58
  3,     UK000H,       0,  0.141336, 2459486.609343801159,  46.99218,  10.48979,              177.98997,  49.61766,       177.95146,       49.61082,     46.99218,     +10.48979,      47.01830,      +10.48352,  2907420.63,  2980430.43,  4947533.63,      50.103824,       -1.736315,  100745.79,  131503.56,    6685.41,             7774.18,    -0.92,  60546.72,           54606.84,     58.38,     10.84,          93.14,  +2.59,  +2.00

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.