Recent content by JS1103

Thank you for all the replies. Yes, the axes are moving with the body, following its orientation. It produces its own thrust, more like a rocket than a ball, so it should move in a different direction as it spins. Thank you. I will look into this.

I'll try an illustration to help explain what I'm trying to do. In all three scenarios above I have plotted the position over 60 s starting from (0, 0) with an initial orientation along the x-axis and no linear acceleration (in the body's axes). In Scenario 1, I have an initial velocity of (1...

The position is the body's centre of mass in a fixed axis system. The linear velocity and acceleration is in the body's axes. I would like to be able to calculate the body's location in the fixed axis system and the velocity in the body's axes at any given time, assuming the linear and...

The velocity is in the body's axes, so given it is rotating, why must it end up at (something, 0)?

Could you please explain how I can achieve this? In my example above, what formula would I use to calculate the position at any given time if the body is rotating and the velocities are in the body's axes?

Thank you for your reply mfb, however, I am struggling to get the results I'm looking for. As a simplified example, if we have an initial position of (0, 0) m, orientation of 0 rad, velocity of (1, 0) m/s, angular velocity of π/60 rad/s and zero linear and angular acceleration, then after 60 s...

I have a moving body with constant linear and rotational acceleration. Given a starting condition (position, orientation, linear and angular velocities), how can I combine the equations of motion to give a position and orientation a given time on?