1 / 9

Vincenty's formula for Inverse Method

Vincenty's formula for Inverse Method. http://en.wikipedia.org/wiki/Vincenty%27s_formulae. Vincenty's formula for Inverse Method.

sheila-harris
Download Presentation

Vincenty's formula for Inverse Method

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Vincenty's formulaforInverse Method http://en.wikipedia.org/wiki/Vincenty%27s_formulae

  2. Vincenty's formulaforInverse Method • Vincenty's formula is iterative methods used in geodesy to calculate the distance between two points on the surface of an spheroid, developed by Thaddeus Vincenty in 1975. • It is based on the assumption that the figure of the Earth is an oblate spheroid, and hence are more accurate than methods such as great-circle distance which assume a spherical Earth.

  3. Vincenty's formulaforInverse Method • The inverse method computes the geographical distance and azimuth between two given points. It has been widely used in geodesy because it is accurate to within 0.5 mm (0.020″) on the Earth ellipsoid.

  4. Notations

  5. Given the coordinates of the two points (φ1, λ1) and (φ2, λ2), the inverse method finds the azimuths α1, α2and the ellipsoidal distance s. Calculate U1, U2 and L, and set initial value of λ = L. Then iteratively evaluate the following equations until λ converges:

  6. When λ has converged to the desired degree of accuracy (10−12 corresponds to approximately 0.06mm), evaluate the following:

  7. Online Calculator: http://www.ga.gov.au/geodesy/datums/vincenty_inverse.jsp

  8. Online Calculator: http://www.ga.gov.au/geodesy/datums/vincenty_inverse.jsp

More Related