I'm trying to figure out how to calculate an object's angle to a fixed point after a certain amount of time, given the following information:
1: The origin 0,0,0 is your stationary point of view (the aforementioned fixed point)
2: The distance and bearings to the object from the origin are known
3: The bearings are given in one horizontal angle and one vertical angle
4: The speed and heading of the object are known and constant
I will use the following values in an example:
1: Object speed: 100 m/s
2: Object starting distance from origin: 2000 m
3: Object bearing from origin: 1°00′00″ horizontal, 2°00′00″ vertical
4: Object heading: 130°00′00″ horizontal, 5°00′00″ vertical
5: Position to calculate after t = 60 s
I'm guessing the solution would involve the following method:
1: Determine the starting coordinates of the object, based on the horizontal and vertical bearings, and the distance.
2: Use the object's starting coordinates, its heading, and its speed multiplied by t = 60 to determine its coordinates after the specified time.
3: Determine the angle from the origin to the coordinates at t = 60.
It looks like there is a lot of trigonometry involved in this. Perhaps this is easier to solve than it looks, but to me, it appears to have a lot of steps involved in it. Or perhaps there is a better method to solving this? Some formula I'm unaware of?