This is because we are using the earth as our "inertial frame
of reference." Does that make sense to you?
As Newton informs us in his first two laws of motion: an object in an inertial frame
of reference either remains at rest or continues to move at a constant velocity unless acted on by a force, and that Force = Mass x Acceleration.
Thus, the transformation matrix A(q) is used, and the translational force F in the inertial frame
is expressed with the control torque T as follows:
The inertial frame
i is a stationary Earth-centered frame and shares its polar axis but not rotate with it.
Actually, whena6-DOFmodel of an aircraft is concerned, there are at least three basic coordinate frames included which are the inertial frame
, the aircraft-body frame, and the airspeed frame.
In space science, the "attitude" of a flying object refers to its orientation with respect to a fixed inertial frame
. In robotics, the estimation of orientation and location parameters is a key aspect of rigid-body kinematics.
The accelerometer measures the vehicle's specific force [f.sup.b], in three directions of the body frame relative to the inertial frame
. The gyroscope measures the vehicle's angular velocity [w.sup.b.sub.ib].
The derivation of the motion equations of the flexible cable and the rocket will be carried out in the inertial frame
If the rocket were moving at a constant rate (making it an inertial frame
), both clocks would keep the same time.
Newton's single Cosmic inertial frame
resisted the acceleration of matter (F = ma) but allowed it to move at any uniform velocity (in inertial motion) without resistance.
Call the event at the center of the given light cone "Q." When Q is present, any event which is simultaneous within Q's inertial frame
of reference, will also be at the center of a light cone with the same or very similar ppf.