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Mechanics of planar particle motion[1] is the analysis of the motion of particles gravitationally attracted to one another which are observed from non-inertial reference frames[2][3][4] and the generalization of this problem to planetary motion.[5] This type of analysis is closely related to centrifugal force, two-body problem, orbit and Kepler's laws of planetary motion. The mechanics of planar particle motion fall within the general field of analytical dynamics, and help to determine orbits from the force laws.[6] This article is focused more on the kinematic issues surrounding planar motion, which are the determination of the forces necessary to result in a certain trajectory given the particle trajectory.
General results presented in pseudo forces[7] , which are applied to observations of a moving particle and are seen from several specific non-inertial frames. For example, a local frame (one tied to the moving particle so it appears stationary), and a co-rotating frame (one with an arbitrarily located but fixed axis and a rate of rotation that makes the particle appear to have only radial motion and zero azimuthal motion). With this, the Lagrangian approach to fictitious forces is introduced.
Unlike real forces such as electromagnetic forces, fictitious forces (or pseudo forces) do not originate from physical interactions between objects.
inertial forces., NASA: Accelerated Frames of Reference: Inertial Forces, Science Joy Wagon: Centrifugal force - the false force Archived 2018-08-04 at the Wayback Machine