Overview

This book is the sixth volume of a series on the mathematics of composition velocities as may be experienced by deep future spacecraft for which maximum interaction energy is desired relative to the background. Time dilation for crew cabins located more or less on the spacecraft construction portions which experience the conjectured velocity compositions are implied and are equal to the relativistic Lorentz transformation factors associated with the composite velocities. General relativistic time dilation is neglected in this volume suffice it to say that general relativistic effects would manifest for spacecraft having sufficient invariant mass. The formulas are explicit and detailed so as to provide a reference for future starship designers including analytic formulas which can be coded into software. Since velocity compositions need to be computed from first principles most generally, this was the reason for the obtusely detailed and obtusely lengthy expressions to express theoretical context. Lucky for us, we do not need to actually compute using only first formulaic principles. Mere substitution of previously calculated velocities from the preceding step is all that is necessary for computations. Color font is used for context as well as to provide an artistic flavor to alleviate boredom for readers desiring to read or inspect the entire formulations. This book is especially meant for those of you who really enjoy complicated motions in artificial machinery and special relativistic velocity compositions. You will see esthetically pleasing formulas that are really valid provided the systems conjectured could be engineered at least according to Special Relativity. Part of the fun of engineering includes the complexity of many engineered systems.

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