Creates an oblate spheroid.
Usage
oblate_spheroid(
length_body = NULL,
radius_body = NULL,
length_radius_ratio = NULL,
semimajor_length = NULL,
semiminor_length = NULL,
n_segments = 100,
length_units = "m"
)Arguments
- length_body
Body-axis length (m).
- radius_body
Maximum equatorial radius (m).
- length_radius_ratio
Optional ratio input when radius is not explicitly known.
- semimajor_length
Optional alias for maximum equatorial radius (m).
- semiminor_length
Optional alias for body-axis semi-length (m).
- n_segments
Number of segments to discretize object shape. Defaults to 100 segments.
- length_units
Units for body matrix (defaults to m).
Value
Creates the position vector for an oblate spheroid object of defined body-axis length and maximum equatorial radius.
Examples
oblate_spheroid(
length_body = 0.012, radius_body = 0.01, n_segments = 60
)
#> An object of class "OblateSpheroid"
#> Slot "position_matrix":
#> x y z zU zL
#> [1,] 0.0120 0 0 0.000000000 0.000000000
#> [2,] 0.0118 0 0 0.002560382 -0.002560382
#> [3,] 0.0116 0 0 0.003590110 -0.003590110
#> [4,] 0.0114 0 0 0.004358899 -0.004358899
#> [5,] 0.0112 0 0 0.004988877 -0.004988877
#> [6,] 0.0110 0 0 0.005527708 -0.005527708
#> [7,] 0.0108 0 0 0.006000000 -0.006000000
#> [8,] 0.0106 0 0 0.006420453 -0.006420453
#> [9,] 0.0104 0 0 0.006798693 -0.006798693
#> [10,] 0.0102 0 0 0.007141428 -0.007141428
#> [11,] 0.0100 0 0 0.007453560 -0.007453560
#> [12,] 0.0098 0 0 0.007738791 -0.007738791
#> [13,] 0.0096 0 0 0.008000000 -0.008000000
#> [14,] 0.0094 0 0 0.008239471 -0.008239471
#> [15,] 0.0092 0 0 0.008459052 -0.008459052
#> [16,] 0.0090 0 0 0.008660254 -0.008660254
#> [17,] 0.0088 0 0 0.008844333 -0.008844333
#> [18,] 0.0086 0 0 0.009012337 -0.009012337
#> [19,] 0.0084 0 0 0.009165151 -0.009165151
#> [20,] 0.0082 0 0 0.009303524 -0.009303524
#> [21,] 0.0080 0 0 0.009428090 -0.009428090
#> [22,] 0.0078 0 0 0.009539392 -0.009539392
#> [23,] 0.0076 0 0 0.009637888 -0.009637888
#> [24,] 0.0074 0 0 0.009723968 -0.009723968
#> [25,] 0.0072 0 0 0.009797959 -0.009797959
#> [26,] 0.0070 0 0 0.009860133 -0.009860133
#> [27,] 0.0068 0 0 0.009910712 -0.009910712
#> [28,] 0.0066 0 0 0.009949874 -0.009949874
#> [29,] 0.0064 0 0 0.009977753 -0.009977753
#> [30,] 0.0062 0 0 0.009994443 -0.009994443
#> [31,] 0.0060 0 0 0.010000000 -0.010000000
#> [32,] 0.0058 0 0 0.009994443 -0.009994443
#> [33,] 0.0056 0 0 0.009977753 -0.009977753
#> [34,] 0.0054 0 0 0.009949874 -0.009949874
#> [35,] 0.0052 0 0 0.009910712 -0.009910712
#> [36,] 0.0050 0 0 0.009860133 -0.009860133
#> [37,] 0.0048 0 0 0.009797959 -0.009797959
#> [38,] 0.0046 0 0 0.009723968 -0.009723968
#> [39,] 0.0044 0 0 0.009637888 -0.009637888
#> [40,] 0.0042 0 0 0.009539392 -0.009539392
#> [41,] 0.0040 0 0 0.009428090 -0.009428090
#> [42,] 0.0038 0 0 0.009303524 -0.009303524
#> [43,] 0.0036 0 0 0.009165151 -0.009165151
#> [44,] 0.0034 0 0 0.009012337 -0.009012337
#> [45,] 0.0032 0 0 0.008844333 -0.008844333
#> [46,] 0.0030 0 0 0.008660254 -0.008660254
#> [47,] 0.0028 0 0 0.008459052 -0.008459052
#> [48,] 0.0026 0 0 0.008239471 -0.008239471
#> [49,] 0.0024 0 0 0.008000000 -0.008000000
#> [50,] 0.0022 0 0 0.007738791 -0.007738791
#> [51,] 0.0020 0 0 0.007453560 -0.007453560
#> [52,] 0.0018 0 0 0.007141428 -0.007141428
#> [53,] 0.0016 0 0 0.006798693 -0.006798693
#> [54,] 0.0014 0 0 0.006420453 -0.006420453
#> [55,] 0.0012 0 0 0.006000000 -0.006000000
#> [56,] 0.0010 0 0 0.005527708 -0.005527708
#> [57,] 0.0008 0 0 0.004988877 -0.004988877
#> [58,] 0.0006 0 0 0.004358899 -0.004358899
#> [59,] 0.0004 0 0 0.003590110 -0.003590110
#> [60,] 0.0002 0 0 0.002560382 -0.002560382
#> [61,] 0.0000 0 0 0.000000000 0.000000000
#>
#> Slot "shape_parameters":
#> $length
#> [1] 0.012
#>
#> $radius
#> [1] 0.000000000 0.002560382 0.003590110 0.004358899 0.004988877 0.005527708
#> [7] 0.006000000 0.006420453 0.006798693 0.007141428 0.007453560 0.007738791
#> [13] 0.008000000 0.008239471 0.008459052 0.008660254 0.008844333 0.009012337
#> [19] 0.009165151 0.009303524 0.009428090 0.009539392 0.009637888 0.009723968
#> [25] 0.009797959 0.009860133 0.009910712 0.009949874 0.009977753 0.009994443
#> [31] 0.010000000 0.009994443 0.009977753 0.009949874 0.009910712 0.009860133
#> [37] 0.009797959 0.009723968 0.009637888 0.009539392 0.009428090 0.009303524
#> [43] 0.009165151 0.009012337 0.008844333 0.008660254 0.008459052 0.008239471
#> [49] 0.008000000 0.007738791 0.007453560 0.007141428 0.006798693 0.006420453
#> [55] 0.006000000 0.005527708 0.004988877 0.004358899 0.003590110 0.002560382
#> [61] 0.000000000
#>
#> $semimajor_length
#> [1] 0.01
#>
#> $semiminor_length
#> [1] 0.006
#>
#> $length_radius_ratio
#> [1] 1.2
#>
#> $n_segments
#> [1] 60
#>
#> $length_units
#> [1] "m"
#>
#>
oblate_spheroid(
semiminor_length = 0.006, semimajor_length = 0.01
)
#> An object of class "OblateSpheroid"
#> Slot "position_matrix":
#> x y z zU zL
#> [1,] 0.01200 0 0 0.000000000 0.000000000
#> [2,] 0.01188 0 0 0.001989975 -0.001989975
#> [3,] 0.01176 0 0 0.002800000 -0.002800000
#> [4,] 0.01164 0 0 0.003411744 -0.003411744
#> [5,] 0.01152 0 0 0.003919184 -0.003919184
#> [6,] 0.01140 0 0 0.004358899 -0.004358899
#> [7,] 0.01128 0 0 0.004749737 -0.004749737
#> [8,] 0.01116 0 0 0.005102940 -0.005102940
#> [9,] 0.01104 0 0 0.005425864 -0.005425864
#> [10,] 0.01092 0 0 0.005723635 -0.005723635
#> [11,] 0.01080 0 0 0.006000000 -0.006000000
#> [12,] 0.01068 0 0 0.006257795 -0.006257795
#> [13,] 0.01056 0 0 0.006499231 -0.006499231
#> [14,] 0.01044 0 0 0.006726069 -0.006726069
#> [15,] 0.01032 0 0 0.006939741 -0.006939741
#> [16,] 0.01020 0 0 0.007141428 -0.007141428
#> [17,] 0.01008 0 0 0.007332121 -0.007332121
#> [18,] 0.00996 0 0 0.007512656 -0.007512656
#> [19,] 0.00984 0 0 0.007683749 -0.007683749
#> [20,] 0.00972 0 0 0.007846018 -0.007846018
#> [21,] 0.00960 0 0 0.008000000 -0.008000000
#> [22,] 0.00948 0 0 0.008146165 -0.008146165
#> [23,] 0.00936 0 0 0.008284926 -0.008284926
#> [24,] 0.00924 0 0 0.008416650 -0.008416650
#> [25,] 0.00912 0 0 0.008541663 -0.008541663
#> [26,] 0.00900 0 0 0.008660254 -0.008660254
#> [27,] 0.00888 0 0 0.008772685 -0.008772685
#> [28,] 0.00876 0 0 0.008879189 -0.008879189
#> [29,] 0.00864 0 0 0.008979978 -0.008979978
#> [30,] 0.00852 0 0 0.009075241 -0.009075241
#> [31,] 0.00840 0 0 0.009165151 -0.009165151
#> [32,] 0.00828 0 0 0.009249865 -0.009249865
#> [33,] 0.00816 0 0 0.009329523 -0.009329523
#> [34,] 0.00804 0 0 0.009404254 -0.009404254
#> [35,] 0.00792 0 0 0.009474175 -0.009474175
#> [36,] 0.00780 0 0 0.009539392 -0.009539392
#> [37,] 0.00768 0 0 0.009600000 -0.009600000
#> [38,] 0.00756 0 0 0.009656086 -0.009656086
#> [39,] 0.00744 0 0 0.009707729 -0.009707729
#> [40,] 0.00732 0 0 0.009754999 -0.009754999
#> [41,] 0.00720 0 0 0.009797959 -0.009797959
#> [42,] 0.00708 0 0 0.009836666 -0.009836666
#> [43,] 0.00696 0 0 0.009871170 -0.009871170
#> [44,] 0.00684 0 0 0.009901515 -0.009901515
#> [45,] 0.00672 0 0 0.009927739 -0.009927739
#> [46,] 0.00660 0 0 0.009949874 -0.009949874
#> [47,] 0.00648 0 0 0.009967949 -0.009967949
#> [48,] 0.00636 0 0 0.009981984 -0.009981984
#> [49,] 0.00624 0 0 0.009991997 -0.009991997
#> [50,] 0.00612 0 0 0.009998000 -0.009998000
#> [51,] 0.00600 0 0 0.010000000 -0.010000000
#> [52,] 0.00588 0 0 0.009998000 -0.009998000
#> [53,] 0.00576 0 0 0.009991997 -0.009991997
#> [54,] 0.00564 0 0 0.009981984 -0.009981984
#> [55,] 0.00552 0 0 0.009967949 -0.009967949
#> [56,] 0.00540 0 0 0.009949874 -0.009949874
#> [57,] 0.00528 0 0 0.009927739 -0.009927739
#> [58,] 0.00516 0 0 0.009901515 -0.009901515
#> [59,] 0.00504 0 0 0.009871170 -0.009871170
#> [60,] 0.00492 0 0 0.009836666 -0.009836666
#> [61,] 0.00480 0 0 0.009797959 -0.009797959
#> [62,] 0.00468 0 0 0.009754999 -0.009754999
#> [63,] 0.00456 0 0 0.009707729 -0.009707729
#> [64,] 0.00444 0 0 0.009656086 -0.009656086
#> [65,] 0.00432 0 0 0.009600000 -0.009600000
#> [66,] 0.00420 0 0 0.009539392 -0.009539392
#> [67,] 0.00408 0 0 0.009474175 -0.009474175
#> [68,] 0.00396 0 0 0.009404254 -0.009404254
#> [69,] 0.00384 0 0 0.009329523 -0.009329523
#> [70,] 0.00372 0 0 0.009249865 -0.009249865
#> [71,] 0.00360 0 0 0.009165151 -0.009165151
#> [72,] 0.00348 0 0 0.009075241 -0.009075241
#> [73,] 0.00336 0 0 0.008979978 -0.008979978
#> [74,] 0.00324 0 0 0.008879189 -0.008879189
#> [75,] 0.00312 0 0 0.008772685 -0.008772685
#> [76,] 0.00300 0 0 0.008660254 -0.008660254
#> [77,] 0.00288 0 0 0.008541663 -0.008541663
#> [78,] 0.00276 0 0 0.008416650 -0.008416650
#> [79,] 0.00264 0 0 0.008284926 -0.008284926
#> [80,] 0.00252 0 0 0.008146165 -0.008146165
#> [81,] 0.00240 0 0 0.008000000 -0.008000000
#> [82,] 0.00228 0 0 0.007846018 -0.007846018
#> [83,] 0.00216 0 0 0.007683749 -0.007683749
#> [84,] 0.00204 0 0 0.007512656 -0.007512656
#> [85,] 0.00192 0 0 0.007332121 -0.007332121
#> [86,] 0.00180 0 0 0.007141428 -0.007141428
#> [87,] 0.00168 0 0 0.006939741 -0.006939741
#> [88,] 0.00156 0 0 0.006726069 -0.006726069
#> [89,] 0.00144 0 0 0.006499231 -0.006499231
#> [90,] 0.00132 0 0 0.006257795 -0.006257795
#> [91,] 0.00120 0 0 0.006000000 -0.006000000
#> [92,] 0.00108 0 0 0.005723635 -0.005723635
#> [93,] 0.00096 0 0 0.005425864 -0.005425864
#> [94,] 0.00084 0 0 0.005102940 -0.005102940
#> [95,] 0.00072 0 0 0.004749737 -0.004749737
#> [96,] 0.00060 0 0 0.004358899 -0.004358899
#> [97,] 0.00048 0 0 0.003919184 -0.003919184
#> [98,] 0.00036 0 0 0.003411744 -0.003411744
#> [99,] 0.00024 0 0 0.002800000 -0.002800000
#> [100,] 0.00012 0 0 0.001989975 -0.001989975
#> [101,] 0.00000 0 0 0.000000000 0.000000000
#>
#> Slot "shape_parameters":
#> $length
#> [1] 0.012
#>
#> $radius
#> [1] 0.000000000 0.001989975 0.002800000 0.003411744 0.003919184 0.004358899
#> [7] 0.004749737 0.005102940 0.005425864 0.005723635 0.006000000 0.006257795
#> [13] 0.006499231 0.006726069 0.006939741 0.007141428 0.007332121 0.007512656
#> [19] 0.007683749 0.007846018 0.008000000 0.008146165 0.008284926 0.008416650
#> [25] 0.008541663 0.008660254 0.008772685 0.008879189 0.008979978 0.009075241
#> [31] 0.009165151 0.009249865 0.009329523 0.009404254 0.009474175 0.009539392
#> [37] 0.009600000 0.009656086 0.009707729 0.009754999 0.009797959 0.009836666
#> [43] 0.009871170 0.009901515 0.009927739 0.009949874 0.009967949 0.009981984
#> [49] 0.009991997 0.009998000 0.010000000 0.009998000 0.009991997 0.009981984
#> [55] 0.009967949 0.009949874 0.009927739 0.009901515 0.009871170 0.009836666
#> [61] 0.009797959 0.009754999 0.009707729 0.009656086 0.009600000 0.009539392
#> [67] 0.009474175 0.009404254 0.009329523 0.009249865 0.009165151 0.009075241
#> [73] 0.008979978 0.008879189 0.008772685 0.008660254 0.008541663 0.008416650
#> [79] 0.008284926 0.008146165 0.008000000 0.007846018 0.007683749 0.007512656
#> [85] 0.007332121 0.007141428 0.006939741 0.006726069 0.006499231 0.006257795
#> [91] 0.006000000 0.005723635 0.005425864 0.005102940 0.004749737 0.004358899
#> [97] 0.003919184 0.003411744 0.002800000 0.001989975 0.000000000
#>
#> $semimajor_length
#> [1] 0.01
#>
#> $semiminor_length
#> [1] 0.006
#>
#> $length_radius_ratio
#> [1] 1.2
#>
#> $n_segments
#> [1] 100
#>
#> $length_units
#> [1] "m"
#>
#>