Assume that earth rotate on the ecliptic plane with a rotation of 1600 km/hr. So that it rotates without an obliquity /axial of tilt. Another celestial object hits at 24 degrees north of the equator so that it creates a new rotation of 1000 km/hr, the new rotation's plane forms a 24 degrees angle with the former rotation. Both rotations are clockwise. What is the final rotational plane and what is its rotational speed?
have included a picture, please check.
I am not an expert on rotational geometry, at first I thought I can break the rotational plane with 24 degrees angle into a x and y components and adds them to the existing rotational plane, but there seems to be involved with Euler's rotation theorem and reflections, making the calculation way more complicated. is there a simplified way to work on this problem if we assumed that new rotation always occur at an angle to the existing one?