This book presents a generalization of transforms from the frames co-moving with an accelerated particle for uniform circular or linear motion into an inertial frame of reference. The solutions presented here will be of great interest for real-time applications because earth-bound laboratories are inertial only in approximation. The motivation behind this is that real life applications include accelerating and rotating frames with arbitrary orientations more often than the idealized case of inertial frames. The book is divided into three main sections: the first deals with the theory of dynami.

• Dedication
• Contents
• Preface
• Covariant Treatment of Collisions in Particle Physics
• Conservation Laws for Plasma Systems
• Practical and Theoretical Methods for Determining the Trajectories for Particles Involved in Elastic Collisions
• Relativistic Reflection Laws for Arbitrary Direction Boosts
• The General Trajectories of Accelerated Particles in Special Relativity
• The Paradoxical Case of Force-Acceleration Transformation in Relativity
• Lorentz Covariant Formulation for the Laws of Physics – Particle and Elastic Body Dynamics
• Coordinate Time Hyperbolic Motion Treatment for Bell's Spaceship Experiment
• Rotating Frames Experiment for Direct Determination of Relativistic Length Contraction
• Special Relativity Experiments Explained from the Perspective of the Rotating Frame
• The Relativistic Trajectory of a Charged Particle in the Magnetic Field of an Infinite Length Current Carrying Wire
• The Compton Scattering Experiment – the Electron Point of View
• The Lorentz Force in Accelerated Frames
• Relativistic Dynamics and Electrodynamics in Uniformly Accelerated and in Uniformly Rotating Frames
• Relativistic Dynamics and Electrodynamics in Uniformly Accelerated and Uniformly Rotating Frames
• Generalization of Coordinate Transformations between Accelerated and Inertial Frames
• Generalization of the Thomas-Wigner Rotation to Uniformly Accelerating Boosts
• The Relativistic Cyclotron Radiation in the Circular Rotating Frame of the Moving Heavy Particle
• Relativistic d’Alembert Force in Uniformly Accelerating Frames
• Relativistic Fictitious Forces from the Perspective of the Accelerated Rotating Platform
• Relativistic Fictitious Forces in Accelerated Rotating Frames of Reference
• Was Galileo Right?
• The Two Test Probe Chase
• Application of the Euler Lagrange Formalism for Determining the Equation of Motion in the Case of Radial Fall into a Non-Rotating, Charged Black Hole
• The Two Test Probe Chase to the Event Horizon of a Charged, Non-Rotating Black Hole
• Euler-Lagrange Solution for Calculating Particle Orbits in Gravitational Fields
• “Beyond Gravitoelectromagnetism: Critical Speed in Gravitational Motion” by B. Mashhoon