Aryana Libris

Author : Zischka Kurt Anton
Title : Astronavigation A method for determining exact position by the stars
Year : 2018

Link download : Zischka_Kurt_Anton_-_Astronavigation.zip

Preface. As a mathematician, I conceived the idea to write about the scientific part of navigation long before GPS became available to the public. From the outset, it was meant to be invariant with regard to the fast-changing technology available to navigators. It was also meant to be a manual that would make the navigator less dependent on the availability of other ephemerides. However, I did not want to turn the clock back by ignoring the state of developments in the fields of calculator and PC technology. Even the most casual observer must admit that we have achieved a level in our general education that renders anyone who does not know how to operate a personal computer illiterate. Today, the average student aged twelve or above should be able to handle the algebraic symbolic language as employed in all advances calculators without even understanding the underlying mathematics of the formulae used in navigation. I also wanted to draw a clear dividing line between the art and science of navigation (based on clear definitions, the important concept of stating the underlying assumptions, and the rigorous applications thereof) and the laws of physics as they apply to navigation. I also wanted to show that the approximate methods used in celestial navigation, which are based on the original methods of Capt. Sumner and St. Hilair, are merely special cases of a general mathematical method that consists in approximating the two transcendental equations-the fundamental equations of navigation-by two linear equations. A similar statement can be made with regard to the Lunar/Distance method for finding the approximation to the time at sea. This method is also an approximation to the problem of solving the Fundamental Equation with respect to the parameter of time. Therefore, it is also no longer necessary to look for the elusive error analysis of the Line of Position (LOP) method. Not knowing the error or the realistic upper bound for it (as a function of distance and azimuth from the true position) has always been a shortcoming for this method. ...