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15). Reference frames can be at rest, in uniform motion in a straight line or in an accelerated motion. Reference frames at rest or in uniform motion in a straight line are called inertial referencejiumes. Ch. 15 An observer and the orthogonal coordinate system which is his chosen reference frame. Each point in space is defined by a unique set of coordinates (x, y, 2). 27 X There is no limit to the number of possible coordinate systems nor are there any restrictions on their choice. An observer may nominate any coordinate system he likes as the one relative to which positions he observes are to be recorded.
3. All inertial observers formulate the same laws of mechanics, that are covariant under the GaliIean Transformation. In order to convert a law discovered by the observer S', into the form it must have for the observer S , the appropriate transformation equations for the reIative quantities, x', y', z' and v', in terms of x, y , z and v are substituted in the formulation of the law made by S'. 4. In general, the Newtonian conception of motion corresponds to our intuitive conception of motion. It harbours no surprises.
4 The Postulates of the Special Theory of Relativity The Special Theory of Relativity is derived from two postulates: 1. The Principle of Special Relativity; 2. The Principle of the Constancy of the Speed of Light, 1. The Princide of SDecial Relativity The laws of physics have the same form in all inertial reference frames. The Newtonian principle of relativity asserts that the laws of mechanics shall have the same form in all inertial reference frames. Einstein widened the scope of this principle to include all the laws of physics.