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Poor Danster, not only do you have to create seperate functions for each axis but you also have to have a variable within all of those functions which changes them depending on the location of the source of the wave.
sorry, the pic didnt upload the first time as it was too big.
Thanks for a a well thought-through answer!
I am thinking that you will not be able to use a single equation to give you all of those motions in three-dimentional space. For example, the formula that mathsyperson gave you is generally used to find the position of a particle within a wave. However, this relates to only movement along the y axis for a specific point in time.
Thanks for your answers, however I am still a bit stuck. I'll try to give a more thorough description of the problem. In the attached picture two vessels, A and B, are illustrated. The blue vectors illustrate the waves and how their angles of attack are measured. When the waves hit the vessel, there will be motions in 6 degrees of freedom; surge, sway, heave, roll, pitch and yaw.
The c should solve the equation at time zero. If your coordinate system is inverse to the data you should add pi to the previous c to change the sign of the position.
Waves are graphed as trigonometric functions.