Two Integrals of Geodetic Lines in Oblate Ellipsoidal Coordinates

Details Two Integrals of Geodetic Lines in Oblate Ellipsoidal Coordinates Two Integrals of Geodetic Lines in Oblate Ellipsoidal Coordinates

2010-05-20

arxiv.org/abs/1005.3790v1

Mathematics

Classical Analysis and ODEs

9 pages, one figure

Scientific paper

The manuscript establishes a series expansion of the core integral that relates changes in longitude and latitude along the geodetic line in oblate elliptical coordinates, and of a companion integral which is the path length along this line as a function of latitude. The expansion is a power series in the scaled (constant) altitude of the trajectory over the surface of the ellipsoid. Each term of this series is reduced to sums over inverse trigonometric functions, square roots and Elliptic Integrals. The aim is to avoid purely numerical means of integration.

Affiliated with

Also associated with

No associations

Rating

Two Integrals of Geodetic Lines in Oblate Ellipsoidal Coordinates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Two Integrals of Geodetic Lines in Oblate Ellipsoidal Coordinates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two Integrals of Geodetic Lines in Oblate Ellipsoidal Coordinates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-211685