nvector package¶
Geodesic functions¶
lat_lon2n_E(latitude, longitude[, R_Ee]) |
Converts latitude and longitude to n-vector. |
n_E2lat_lon(n_E[, R_Ee]) |
Converts n-vector to latitude and longitude. |
n_EB_E2p_EB_E(n_EB_E[, depth, a, f, R_Ee]) |
Converts n-vector to Cartesian position vector in meters. |
p_EB_E2n_EB_E(p_EB_E[, a, f, R_Ee]) |
Converts Cartesian position vector in meters to n-vector. |
n_EA_E_and_n_EB_E2p_AB_E(n_EA_E, n_EB_E[, ...]) |
Return the delta vector from position A to B. |
n_EA_E_and_p_AB_E2n_EB_E(n_EA_E, p_AB_E[, ...]) |
Return position B from position A and delta. |
n_EA_E_and_n_EB_E2azimuth(n_EA_E, n_EB_E[, ...]) |
Return azimuth from A to B, relative to North: |
n_EA_E_distance_and_azimuth2n_EB_E(n_EA_E, ...) |
Return position B from azimuth and distance from position A |
great_circle_distance(n_EA_E, n_EB_E[, radius]) |
Return great circle distance between positions A and B |
euclidean_distance(n_EA_E, n_EB_E[, radius]) |
Return Euclidean distance between positions A and B |
cross_track_distance(path, n_EB_E[, method, ...]) |
Return cross track distance between path A and position B. |
closest_point_on_great_circle(path, n_EB_E) |
Return closest point C on great circle path A to position B. |
intersect(path_a, path_b) |
Return the intersection(s) between the great circles of the two paths |
mean_horizontal_position(n_EB_E) |
Return the n-vector of the horizontal mean position. |
on_great_circle(path, n_EB_E[, radius, ...]) |
True if position B is on great circle through path A. |
on_great_circle_path(path, n_EB_E[, radius, ...]) |
True if position B is on great circle and between endpoints of path A. |
Rotation matrices and angles¶
E_rotation([axes]) |
Return rotation matrix R_Ee defining the axes of the coordinate frame E. |
n_E2R_EN(n_E[, R_Ee]) |
Returns the rotation matrix R_EN from n-vector. |
n_E_and_wa2R_EL(n_E, wander_azimuth[, R_Ee]) |
Returns rotation matrix R_EL from n-vector and wander azimuth angle. |
R_EL2n_E(R_EL) |
Returns n-vector from the rotation matrix R_EL. |
R_EN2n_E(R_EN) |
Returns n-vector from the rotation matrix R_EN. |
R2xyz(R_AB) |
Returns the angles about new axes in the xyz-order from a rotation matrix. |
R2zyx(R_AB) |
Returns the angles about new axes in the zxy-order from a rotation matrix. |
xyz2R(x, y, z) |
Returns rotation matrix from 3 angles about new axes in the xyz-order. |
zyx2R(z, y, x) |
Returns rotation matrix from 3 angles about new axes in the zyx-order. |
Misc functions¶
nthroot(x, n) |
Return the n’th root of x to machine precision |
deg(rad_angle) |
Converts angle in radians to degrees. |
rad(deg_angle) |
Converts angle in degrees to radians. |
select_ellipsoid(name) |
Return semi-major axis (a), flattening (f) and name of ellipsoid |
unit(vector[, norm_zero_vector]) |
Convert input vector to a vector of unit length. |
OO interface to Geodesic functions¶
FrameE([a, f, name, axes]) |
Earth-fixed frame |
FrameN(position) |
North-East-Down frame |
FrameL(position[, wander_azimuth]) |
Local level, Wander azimuth frame |
FrameB(position[, yaw, pitch, roll, degrees]) |
Body frame |
ECEFvector(pvector[, frame]) |
Geographical position given as Cartesian position vector in frame E |
GeoPoint(latitude, longitude[, z, frame, ...]) |
Geographical position given as latitude, longitude, depth in frame E |
Nvector(normal[, z, frame]) |
Geographical position given as n-vector and depth in frame E |
GeoPath(positionA, positionB) |
Geographical path between two positions in Frame E |
Pvector(pvector, frame) |
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diff_positions(positionA, positionB) |
Return delta vector from positions A to B. |