Spherical collision detection with Longitude and Latitude
Given the following information:
- A coordinate of an object, along with its bearing
- A zone, defined by two coordinates
Where a coordinate is a latitude, longitude pair
How do I calculate whether the object will enter (collide) with the zone, and, if so, the distance to collision?
Because the calculations are for locations on Earth, I am treating this as on a spherical surface and using spherical trigonometry. (Is this necessary?)
Can I solve this with trigonometry, as opposed to linear algebra with line intersections? I have tried but run in to a lack of information and an inability to solve the law of tangents.
Pythagorean and cosine calculations have provided me with information to do with the closest point of intersection, but this doesn't take into account the bearing on which my object is moving.
spherical-coordinates spherical-geometry spherical-trigonometry
asked May 20 '18 at 22:13
louisdeblouisdeb
62
add a comment |
Given the following information:
- A coordinate of an object, along with its bearing
- A zone, defined by two coordinates
Where a coordinate is a latitude, longitude pair
How do I calculate whether the object will enter (collide) with the zone, and, if so, the distance to collision?
Because the calculations are for locations on Earth, I am treating this as on a spherical surface and using spherical trigonometry. (Is this necessary?)
Can I solve this with trigonometry, as opposed to linear algebra with line intersections? I have tried but run in to a lack of information and an inability to solve the law of tangents.
Pythagorean and cosine calculations have provided me with information to do with the closest point of intersection, but this doesn't take into account the bearing on which my object is moving.
spherical-coordinates spherical-geometry spherical-trigonometry
asked May 20 '18 at 22:13
louisdeblouisdeb
62
add a comment |
Given the following information:
- A coordinate of an object, along with its bearing
- A zone, defined by two coordinates
Where a coordinate is a latitude, longitude pair
How do I calculate whether the object will enter (collide) with the zone, and, if so, the distance to collision?
Because the calculations are for locations on Earth, I am treating this as on a spherical surface and using spherical trigonometry. (Is this necessary?)
Can I solve this with trigonometry, as opposed to linear algebra with line intersections? I have tried but run in to a lack of information and an inability to solve the law of tangents.
Pythagorean and cosine calculations have provided me with information to do with the closest point of intersection, but this doesn't take into account the bearing on which my object is moving.
spherical-coordinates spherical-geometry spherical-trigonometry
asked May 20 '18 at 22:13
louisdeblouisdeb
62
Given the following information:
- A coordinate of an object, along with its bearing
- A zone, defined by two coordinates
Where a coordinate is a latitude, longitude pair
How do I calculate whether the object will enter (collide) with the zone, and, if so, the distance to collision?
Because the calculations are for locations on Earth, I am treating this as on a spherical surface and using spherical trigonometry. (Is this necessary?)
Can I solve this with trigonometry, as opposed to linear algebra with line intersections? I have tried but run in to a lack of information and an inability to solve the law of tangents.
Pythagorean and cosine calculations have provided me with information to do with the closest point of intersection, but this doesn't take into account the bearing on which my object is moving.
spherical-coordinates spherical-geometry spherical-trigonometry
spherical-coordinates spherical-geometry spherical-trigonometry
asked May 20 '18 at 22:13
louisdeblouisdeb
62
asked May 20 '18 at 22:13
louisdeblouisdeb
62
asked May 20 '18 at 22:13
louisdeblouisdeb
62
asked May 20 '18 at 22:13
louisdeblouisdeb
62
asked May 20 '18 at 22:13
louisdeblouisdeb
62
62
add a comment |
add a comment |
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