Menu Close

Given-a-sphere-of-unit-radius-Find-the-expression-of-a-circular-spot-on-the-sphere-s-surface-given-the-latitude-and-the-longitude-of-its-center-and-its-angular-radius-r-




Question Number 20511 by dioph last updated on 27/Aug/17
Given a sphere of unit radius.  Find the expression of a circular  spot on the sphere′s surface given  the latitude β and the longitude λ  of its center and its angular radius r.
$$\mathrm{Given}\:\mathrm{a}\:\mathrm{sphere}\:\mathrm{of}\:\mathrm{unit}\:\mathrm{radius}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{expression}\:\mathrm{of}\:\mathrm{a}\:\mathrm{circular} \\ $$$$\mathrm{spot}\:\mathrm{on}\:\mathrm{the}\:\mathrm{sphere}'\mathrm{s}\:\mathrm{surface}\:\mathrm{given} \\ $$$$\mathrm{the}\:\mathrm{latitude}\:\beta\:\mathrm{and}\:\mathrm{the}\:\mathrm{longitude}\:\lambda \\ $$$$\mathrm{of}\:\mathrm{its}\:\mathrm{center}\:\mathrm{and}\:\mathrm{its}\:\mathrm{angular}\:\mathrm{radius}\:{r}. \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *