Orbital Analysis for matched events on 20210813_221858.190_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 64.55° Bg 36.81° Vg 59.21km/s
mass 0.01344g, abs. mag 0.5
Path Details
------------
start -2.11° 49.94° 109.91km
end   -2.28° 49.79° 97.88km

Orbit Details
-------------
Semimajor axis 8.97A.U., eccentricity 0.90, inclination 115.21°, Period 26.87Y, LA Sun 141.08°, last Perihelion 2021-07-22

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: 2459440.429840164725
Time: 2021-08-13 22:18:58.191600 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 8.14951 deg
 R.A. =  50.47620  Dec = +57.01804 deg
Intersection 2 - Stations: UK000H and UK0038
 Convergence angle = 18.94129 deg
 R.A. =  49.77113  Dec = +57.26580 deg
Intersection 3 - Stations: UK002D and UK0038
 Convergence angle = 10.79223 deg
 R.A. =  49.14983  Dec = +57.34594 deg

Best intersection: Stations UK000H and UK0038 with Qconv = 18.94 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1780954.09 +/- 33.92 m
 Y =  -3785573.62 +/- 72.84 m
 Z =   4942784.49 +/- 12.14 m
 Vx =    20574.99 +/- 153.42 m/s
 Vy =    25155.35 +/- 274.42 m/s
 Vz =    50726.56 +/- 133.58 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.241244e+03, -2.249786e+03, +9.786925e+01, +3.164939e+03, -5.657318e+03, +3.285195e+02
-2.249786e+03, +5.727689e+03, -2.737041e+02, -6.090426e+03, +1.617818e+04, -1.914279e+03
+9.786925e+01, -2.737041e+02, +1.557121e+02, +2.621042e+02, -1.433479e+03, +2.153068e+02
+3.164939e+03, -6.090426e+03, +2.621042e+02, +1.305774e+04, -2.746319e+04, +3.892347e+02
-5.657318e+03, +1.617818e+04, -1.433479e+03, -2.746319e+04, +7.957975e+04, -5.177926e+03
+3.285195e+02, -1.914279e+03, +2.153068e+02, +3.892347e+02, -5.177926e+03, +1.362961e+03

Timing offsets (from input data):
    UK000H: 0.000294 s
    UK002D: 0.000000 s
    UK0038: 0.000198 s

Reference point on the trajectory:
  Time: 2021-08-13 22:18:58.191600 UTC
  Lon     = +-2.113984 +/- 0.0002 deg
  Lat     = +49.941812 +/- 0.0005 deg
  Lat geo = +49.755356 +/- 0.0005 deg
  Ht      =  109905.97 +/- 53.89 m

  JD dynamic   = 2459440.430640921462 
  LST apparent = 295.1950229106 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.71967 +/- 0.4442 deg
  Dec       = +57.35430 +/- 0.1354 deg
  Azimuth   =  34.06977 +/- 0.1219 deg
  Elevation = +29.66202 +/- 0.2533 deg
  Vavg      =  59.86843 +/- 0.0972 km/s
  Vinit     =  60.24372 +/- 0.0676 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  50.48986 +/- 0.4442 deg
  Dec       = +57.13417 +/- 0.1354 deg
  Azimuth   =  34.34545 +/- 0.1219 deg
  Elevation = +29.58149 +/- 0.2533 deg
  Vavg      =  60.01753 +/- 0.0972 km/s
  Vinit     =  60.39281 +/- 0.0676 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.00641 +/- 0.4393 deg
  Dec    = +56.84894 +/- 0.1379 deg
  Vg     =  59.21318 +/- 0.0688 km/s
  Vinf   =  60.24372 +/- 0.0676 km/s
  Zc     =  60.49249 +/- 0.2535 deg
  Zg     =  61.06891 +/- 0.2551 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.54781 +/- 0.2377 deg
  Bg     = +36.80563 +/- 0.2011 deg
  Vh     =  40.65089 +/- 0.0281 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.77793 +/- 0.3909 deg
  Bh     = +60.77102 +/- 0.3666 deg
  Vh_x   =  -2.15138 +/- 0.1084 km/s
  Vh_y   = -19.73294 +/- 0.2414 km/s
  Vh_z   = -35.47503 +/- 0.1275 km/s
Orbit:
  La Sun = 141.081431 +/- -0.0000 deg
  a      =   8.971500 +/- 0.2075 AU
  e      =   0.895394 +/- 0.0025
  i      = 115.214443 +/- 0.2532 deg
  peri   = 147.575885 +/- 0.6932 deg
  node   = 141.079642 +/- 0.0000 deg
  Pi     = 288.655528 +/- 0.6933 deg
  q      =   0.938472 +/- 0.0030 AU
  f      =  32.419971 +/- 0.6932 deg
  M      =   0.839065 +/- 0.0316 deg
  Q      =  17.004528 +/- 0.4154 AU
  n      =   0.036678 +/- 0.0013 deg/day
  T      =  26.871892 +/- 0.9324 years
  Last perihelion JD = 2459417.554165 (2021-07-22 01:17:59.877010) +/- 0.4296 days
  Tj     =   0.081976 +/- 0.0137
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.702648e-06, -2.172778e-06, -2.350119e-04, -2.163729e-11, -7.748628e-06, +2.781677e-07
q   , -2.172778e-06, +9.902681e-06, +1.395479e-03, +1.063562e-09, +3.936695e-05, -1.335196e-05
Tp  , -2.350119e-04, +1.395479e-03, +1.975045e-01, +1.525772e-07, +5.558525e-03, -1.915426e-03
node, -2.163729e-11, +1.063562e-09, +1.525772e-07, +1.325994e-13, +4.263746e-09, -1.664337e-09
peri, -7.748628e-06, +3.936695e-05, +5.558525e-03, +4.263746e-09, +1.566412e-04, -5.352704e-05
i   , +2.781677e-07, -1.335196e-05, -1.915426e-03, -1.664337e-09, -5.352704e-05, +2.089022e-05

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: UK002D
  Avg. res. = 1.266e-06 s
  Stddev    = 1.12e-03 s

Begin point on the trajectory:
  Lon =    -2.113920 +/- 0.0002 deg
  Lat =    49.941872 +/- 0.0005 deg
  Ht  = 109910.65 +/- 54.27 m
End point on the trajectory:
  Lon =    -2.277878 +/- 0.0002 deg
  Lat =    49.786413 +/- 0.0006 deg
  Ht  = 97882.12 +/- 40.97 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,  10.478623,   0.000000,   109910.65,    98853.80,          0.016232,     32.21,     29.31,             101.06, 0.9632,    True,    True, {"ff_name": "FF_UK000H_20210813_221849_534_0195840.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   108536.39,    97882.12,          0.019491,     56.03,     38.15,             110.23, 0.8805,    True,    True, {"ff_name": "FF_UK002D_20210813_221852_260_0193024.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   1.463589,  11.418212,   108141.64,    98692.51,          0.003999,     12.62,      5.45,             104.30, 0.9390,    True,    True, {"ff_name": "FF_UK0038_20210813_221854_109_0190208.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,     UK000H,       0,  0.001680, 2459440.429840180557, 286.22466,   7.22126,              193.27550,  45.68366,       193.31782,       45.69358,    286.22466,      +7.22126,     286.19665,       +7.23540,  1780957.32, -3785569.67,  4942792.46,      49.941872,       -2.113920,  109910.65,  152337.09,       0.00,                9.46,  -191.53,      0.00,           62865.46,     55.79,    -61.35,         112.27,  +2.89,  +1.98
  1,     UK000H,       0,  0.042512, 2459440.429840653203, 285.77444,   6.38665,              193.72741,  44.79194,       193.74718,       44.79656,    285.77444,      +6.38665,     285.76136,       +6.39333,  1780079.57, -3786642.83,  4940628.39,      49.925518,       -2.131223,  108639.09,  152866.79,    2570.08,             2560.61,  -100.25,  62942.69,           62865.46,     26.52,    -29.14,          53.16,  +2.32,  +1.40
  2,     UK000H,       0,  0.083332, 2459440.429841125850, 285.34011,   5.55687,              194.14700,  43.90587,       194.15858,       43.90857,    285.34011,      +5.55687,     285.33260,       +5.56083,  1779205.91, -3787710.99,  4938474.43,      49.909231,       -2.148441,  107374.20,  153435.15,    5128.17,             5118.70,    -1.31,  62667.57,           62865.46,     15.81,    -17.36,          31.57,  +1.75,  +0.82
  3,     UK000H,       0,  0.124148, 2459440.429841598030, 284.92470,   4.71962,              194.52890,  43.01407,       194.55717,       43.02065,    284.92470,      +4.71962,     284.90579,       +4.72942,  1778326.97, -3788785.59,  4936307.45,      49.892836,       -2.165756,  106102.43,  154047.88,    7701.70,             7692.24,   113.32,  63052.10,           62865.46,     39.26,    -43.14,          78.11,  +1.45,  +0.51
  4,     UK000H,       0,  0.164868, 2459440.429842069745, 284.54699,   3.98305,              194.87324,  42.22656,       194.90130,       42.23308,    284.54699,      +3.98305,     284.52820,       +3.99287,  1777542.50, -3789744.70,  4934373.38,      49.878196,       -2.181225,  104967.98,  154629.27,    9998.64,             9989.17,   -42.87,  56408.05,           61589.29,     39.56,    -43.46,          78.39,  +1.35,  +0.40
  5,     UK000H,       0,  0.205640, 2459440.429842541460, 284.13869,   3.19532,              195.23886,  41.38257,       195.26039,       41.38757,    284.13869,      +3.19532,     284.12443,       +3.20294,  1776694.56, -3790781.40,  4932282.84,      49.862363,       -2.197926,  103742.44,  155293.46,   12481.39,            12471.93,   -16.37,  60893.67,           61124.83,     30.85,    -33.89,          60.87,  +1.07,  +0.11
  6,     UK000H,       0,  0.246392, 2459440.429843013175, 283.73384,   2.43179,              195.59689,  40.56196,       195.60137,       40.56300,    283.73384,      +2.43179,     283.73168,       +2.43340,  1775861.46, -3791799.97,  4930228.87,      49.846800,       -2.214334,  102539.01,  155981.98,   14920.73,            14911.27,   -32.08,  59858.11,           60823.26,      6.53,     -7.17,          12.82,  +1.06,  +0.09
  7,     UK000H,       0,  0.287188, 2459440.429843485355, 283.32020,   1.61325,              195.94568,  39.68459,       195.95393,       39.68650,    283.32020,      +1.61325,     283.31548,       +1.61623,  1774968.58, -3792891.62,  4928027.52,      49.830110,       -2.231903,  101250.00,  156758.71,   17535.09,            17525.63,   124.57,  64083.70,           60969.30,     12.20,    -13.40,          23.85,  +0.99,  +0.01
  8,     UK000H,       0,  0.327876, 2459440.429843956139, 282.95905,   0.90521,              196.24493,  38.92428,       196.25291,       38.92613,    282.95905,      +0.90521,     282.95463,       +0.90812,  1774187.55, -3793846.51,  4926101.94,      49.815504,       -2.247287,  100123.10,  157471.05,   19821.93,            19812.47,   -39.78,  56204.38,           60720.59,     12.00,    -13.17,          23.34,  +1.07,  +0.08
  9,     UK000H,       0,  0.368644, 2459440.429844427854, 282.55657,   0.11508,              196.57091,  38.07505,       196.57842,       38.07678,    282.55657,      +0.11508,     282.55261,       +0.11785,  1773307.33, -3794922.69,  4923931.79,      49.799034,       -2.264600,   98853.80,  158309.50,   22399.25,            22389.78,    81.52,  63219.00,           60730.13,     11.46,    -12.57,          22.16,  +1.22,  +0.22
  0,     UK002D,       1,  0.000000, 2459440.429840164725, 288.61557,  -4.68607,              188.25984,  33.65190,       188.20695,       33.63220,    288.61557,      -4.68607,     288.65780,       -4.70964,  1780756.22, -3785815.55,  4942296.63,      49.938126,       -2.117840,  109619.25,  194051.96,       0.00,              579.39,   479.58,      0.00,           56582.82,    -91.99,    135.04,         173.68,  +5.13,  +3.69
  1,     UK002D,       0,  0.040468, 2459440.429840633180, 288.34567,  -5.22731,              188.52118,  33.08833,       188.50498,       33.08230,    288.34567,      -5.22731,     288.35885,       -5.23458,  1780008.65, -3786729.54,  4940453.55,      49.924196,       -2.132600,  108536.39,  194840.17,    2188.87,             2768.26,   230.51,  54088.90,           56582.82,    -28.42,     41.77,          53.48,  +3.39,  +1.94
  2,     UK002D,       0,  0.080904, 2459440.429841101170, 288.05111,  -5.73270,              188.81168,  32.55749,       188.78999,       32.54942,    288.05111,      -5.73270,     288.06896,       -5.74248,  1779279.26, -3787621.31,  4938655.27,      49.910598,       -2.147001,  107480.37,  195629.92,    4324.54,             4903.93,   -69.83,  52816.17,           56582.82,    -38.39,     56.41,          71.95,  +2.46,  +1.00
  3,     UK002D,       0,  0.121428, 2459440.429841570091, 287.69666,  -6.34171,              189.15578,  31.91684,       189.12806,       31.90655,    287.69666,      -6.34171,     287.71970,       -6.35430,  1778392.37, -3788705.64,  4936468.69,      49.894056,       -2.164470,  106197.03,  196617.01,    6921.36,             7500.75,    85.67,  64081.03,           56582.82,    -49.60,     72.86,          92.47,  +2.37,  +0.90
  4,     UK002D,       0,  0.161888, 2459440.429842038546, 287.40316,  -6.87030,              189.43342,  31.36138,       189.41480,       31.35447,    287.40316,      -6.87030,     287.41905,       -6.87880,  1777624.50, -3789644.45,  4934575.55,      49.879727,       -2.179614,  105086.53,  197495.55,    9169.69,             9749.08,  -103.46,  55569.11,           57005.30,    -33.63,     49.40,          62.42,  +1.99,  +0.51
  5,     UK002D,       0,  0.202396, 2459440.429842507467, 287.06318,  -7.45698,              189.75316,  30.74255,       189.73184,       30.73465,    287.06318,      -7.45698,     287.08155,       -7.46678,  1776755.08, -3790707.41,  4932432.04,      49.863494,       -2.196734,  103829.88,  198516.26,   11715.36,            12294.74,     1.85,  62843.53,           57960.78,    -38.90,     57.14,          71.83,  +1.88,  +0.39
  6,     UK002D,       0,  0.242892, 2459440.429842975922, 286.75788,  -8.02760,              190.03033,  30.14253,       190.03065,       30.14265,    286.75788,      -8.02760,     286.75863,       -8.02745,  1775917.16, -3791731.87,  4930366.19,      49.847840,       -2.213235,  102619.45,  199525.98,   14168.80,            14748.18,    15.66,  60584.76,           58583.17,      0.58,     -0.86,           1.07,  +2.03,  +0.53
  7,     UK002D,       0,  0.283344, 2459440.429843444377, 286.43058,  -8.54966,              190.33431,  29.58759,       190.31158,       29.57920,    286.43058,      -8.54966,     286.45066,       -8.56024,  1775112.51, -3792715.65,  4928382.37,      49.832801,       -2.229084,  101457.73,  200519.26,   16524.81,            17104.19,   -65.31,  58242.13,           58814.00,    -42.31,     62.13,          77.32,  +1.63,  +0.12
  8,     UK002D,       0,  0.323824, 2459440.429843912832, 286.10495,  -9.10441,              190.62768,  28.99952,       190.60155,       28.98988,    286.10495,      -9.10441,     286.12816,       -9.11665,  1774263.09, -3793754.17,  4926288.16,      49.816917,       -2.245800,  100232.06,  201592.43,   19011.93,            19591.31,   -16.85,  61440.69,           59096.84,    -49.13,     72.12,          89.29,  +1.73,  +0.21
  9,     UK002D,       0,  0.364304, 2459440.429844381288, 285.79332,  -9.65305,              190.90182,  28.41838,       190.88275,       28.41136,    285.79332,      -9.65305,     285.81088,       -9.66203,  1773421.10, -3794783.59,  4924212.29,      49.801163,       -2.262367,   99017.82,  202680.86,   21477.26,            22056.65,     9.82,  60902.61,           59339.33,    -36.21,     53.16,          65.46,  +1.84,  +0.31
 10,     UK002D,       0,  0.404740, 2459440.429844849277, 285.49630, -10.15675,              191.16191,  27.88290,       191.14068,       27.87509,    285.49630,     -10.15675,     285.51594,      -10.16681,  1772633.15, -3795746.95,  4922269.65,      49.786413,       -2.277878,   97882.12,  203721.44,   23784.38,            24363.77,  -119.08,  57056.08,           59367.93,    -40.70,     59.74,          73.19,  +2.18,  +0.63
  0,     UK0038,       1,  0.012864, 2459440.429840311408, 300.52759,  -4.93173,              173.30710,  33.50283,       173.27744,       33.48499,    300.52759,      -4.93173,     300.55371,       -4.94771,  1780691.88, -3785894.22,  4942138.01,      49.936927,       -2.119149,  109526.03,  194530.45,       0.00,              767.77,  -107.01,      0.00,           60858.71,    -41.10,     95.04,         109.79,  +5.82,  +4.38
  1,     UK0038,       0,  0.053344, 2459440.429840779863, 300.12929,  -5.62155,              173.83762,  32.84255,       173.83433,       32.84058,    300.12929,      -5.62155,     300.13242,       -5.62333,  1779736.04, -3787062.84,  4939781.44,      49.919115,       -2.137972,  108141.64,  195269.88,    2798.70,             3566.47,   253.02,  69137.74,           60858.71,     -4.59,     10.61,          12.21,  +3.41,  +1.96
  2,     UK0038,       0,  0.093716, 2459440.429841246922, 299.79923,  -6.16586,              174.26844,  32.32075,       174.27416,       32.32416,    299.79923,      -6.16586,     299.79456,       -6.16275,  1778967.25, -3788002.77,  4937886.04,      49.904780,       -2.153140,  107028.81,  195891.51,    5049.70,             5817.48,    71.87,  55756.68,           60858.71,      8.02,    -18.56,          21.29,  +2.69,  +1.23
  3,     UK0038,       0,  0.134108, 2459440.429841714446, 299.44303,  -6.73751,              174.72590,  31.77146,       174.73378,       31.77616,    299.44303,      -6.73751,     299.43658,       -6.73321,  1778148.44, -3789003.86,  4935867.30,      49.889505,       -2.169280,  105844.20,  196579.98,    7447.20,             8214.97,    36.00,  59355.63,           60858.71,     11.13,    -25.77,          29.45,  +2.07,  +0.60
  4,     UK0038,       0,  0.174468, 2459440.429842181504, 299.09636,  -7.26855,              175.16342,  31.26031,       175.16143,       31.25913,    299.09636,      -7.26855,     299.09887,       -7.26964,  1777372.76, -3789952.23,  4933954.90,      49.875027,       -2.184575,  104722.59,  197256.92,    9718.40,            10486.17,  -124.24,  56273.59,           59622.42,     -2.83,      6.55,           7.46,  +1.92,  +0.44
  5,     UK0038,       0,  0.214880, 2459440.429842649493, 298.71765,  -7.87314,              175.63631,  30.67545,       175.63658,       30.67561,    298.71765,      -7.87314,     298.71830,       -7.87300,  1776493.31, -3791027.45,  4931786.67,      49.858605,       -2.201888,  103451.67,  198053.38,   12293.42,            13061.19,    16.21,  63719.14,           59854.30,      0.38,     -0.89,           1.01,  +1.75,  +0.27
  6,     UK0038,       0,  0.255256, 2459440.429843116552, 298.36434,  -8.42570,              176.07063,  30.13942,       176.06832,       30.13806,    298.36434,      -8.42570,     298.36748,       -8.42697,  1775679.02, -3792023.02,  4929779.07,      49.843390,       -2.217927,  102275.57,  198817.80,   14677.68,            15445.45,   -31.93,  59051.52,           59851.16,     -3.32,      7.69,           8.69,  +1.75,  +0.26
  7,     UK0038,       0,  0.295644, 2459440.429843584076, 298.00267,  -8.99467,              176.50933,  29.58554,       176.50700,       29.58417,    298.00267,      -8.99467,     298.00600,       -8.99596,  1774835.48, -3793054.34,  4927699.38,      49.827622,       -2.234531,  101057.92,  199636.77,   17147.55,            17915.33,     4.82,  61153.61,           59958.37,     -3.38,      7.81,           8.79,  +1.47,  -0.03
  8,     UK0038,       0,  0.335996, 2459440.429844051134, 297.67871,  -9.50927,              176.89734,  29.08291,       176.89867,       29.08369,    297.67871,      -9.50927,     297.67890,       -9.50853,  1774069.07, -3793991.37,  4925809.84,      49.813287,       -2.249629,   99952.20,  200404.42,   19391.61,            20159.38,  -182.08,  55611.97,           59718.96,      1.94,     -4.49,           5.04,  +1.63,  +0.12
  9,     UK0038,       0,  0.376392, 2459440.429844518658, 297.30988, -10.08946,              177.33298,  28.51460,       177.33632,       28.51656,    297.30988,     -10.08946,     297.30842,      -10.08759,  1773195.45, -3795059.48,  4923655.95,      49.796940,       -2.266811,   98692.51,  201306.63,   21949.60,            22717.37,   -57.69,  63322.84,           59793.64,      4.91,    -11.36,          12.68,  +2.16,  +0.64

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.