Haversine formula and Vincenty formula, millimeter accuracy for earth distances

I propose Haversine formula for exposition of material reg. distances on earth.

Vincenty’s formula calculates distances to millimeter order. Bowring and Lambert’s formula are easier than Vincenty’s but do not have good accuracy especially if distances on earth are quite large.

You should know spherical earth formula, all the other formula mentioned here are oblate-sphere formula. For flat earth, where you can use your ordinary Euclidean rules such as \sin^2\theta + \cos^2 \theta=1, you can just project distances on earth to a plane but the results you will get may have undesirable errors because first of all earth is a large sphere and your approximations will be valid only for short distances because you are all “frog in the well” you learned about the well to measure the earth.

When the frog went out of the well it met Riemann and he told that he had been having some real-time fun which Euclid did not. The frog came back and told this to all others and they all went out to the town bought over Riemanian formula books and started learning about the earth.

When the frogs met Vincenty, he told he knows how to compute distances on earth surface to accuracy of millimeters but one needs a great deal of computational power and many number of iterations.

The distances on earth needs to be corrected before we can get very accurate speed of neutrinos above or below photons which are coming from satellite

What a cool site I got in this respect, you can plug in my latitude, longitude, and you can get x and distances, what a cool … ;

First link (now broken)

Second link.

I am an experimental particle physicist, traveler, teacher, researcher, scientist and communicator of ideas. I am a quarkist and a bit quirky ! Hypothesis non fingo, eppur si muove, dubito cogito ergo sum are things that turn me on ! Researcher in experimental high energy physics (aka elementary particle physics; like “quarks, leptons & mesons and baryons”) … Teacher of Physics (and occasionally chemistry and maths) Blogger (check my website; mdashf.org) ! Love to read read and read but only stuff that interest me. Love to puff away my time in frivolities, just dreaming and may be thinking. Right now desperately trying to streamline myself.

One thought on “Haversine formula and Vincenty formula, millimeter accuracy for earth distances

Leave a Reply

Please log in using one of these methods to post your comment:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s