GNav Basics 3: Great Circles & Rhumb Lines 

I spent 23 years in military aviation with 13 of those years as a pilot and also having my commercial license. The explanation here is hands down the best I have ever seen. Job well done !!!

Wow! I'm no pilot, in truth I dislike flying, but will be going from Orlando to the Baltics next week. Have previously gone to Amsterdam a few years back. I seem to recall that we skirted the east coast of the US, Canada then up over or near Iceland then southerly over Ireland to finally get to Amsterdam. I never really understood this concept. it just seems our brain tells us that the straight line is the shortest distance between A and B. Flat plane is evidently the mistake we make. I guess I'll get out a golf ball and a sharpie tomorrow and try to make some sense of it. Need to chew on it a bit, but great job by the author he is obviously a professional. Trust your pilots, they are ultimate professionals and know exactly what they are doing!

I am an ATPL student and have just found your channel, You are the best of explaning the complex subjects in very simple forms , very productive and useful, I did already introduce your channel to all my friends. Thank you so much

This video alone debunks all flat earth theories regarding flight paths rarely crossing straight over the Atlantic. Thanks for sharing

Cleared all my doubts in one go! Great job. Thanks!

Just found your channel. Really good and well thought out structure, especially as I'm a visual learner. Great for refreshing my brain, or filling in the big gaps I had. Many thanks.

Spherical Trigonometry Projection and Great Circle Map The Great Circle Map can be projected by Spherical Trigonometry. Any region or nation can be center in the Great Circle Map. The transformation of xyz coordinations on the Globe or Map will be calculated. Basic transformation of xyz coordinations has two steps that the rotation of cos circle and sin circle. Namely, There are two formular. One is the rotation of cos circle and the other is the rotation of sin circle. The formular of the cos circle rotation for A degrees (x=cosAcosθr, y=sinAcosθr, z= sinθr) ​ The formular of the sin circle rotation for B degrees by using Rotation Matrix (x1=cosBcosAcosθr+sinBsinθr, y1=sinAcosθr, z1=cosBcosAcosθr-sinBsinθr) As the transformation is programmed with big data, the Great circle map can be used in the various fields such as science, geography, and climate.

Only just found your channel! Such a easy explanation. Currently doing ATPLS at FTE Jerez got my EASAs in a couple weeks :)

great clarification, thanks for all the effort!

Hi Tom! Your videos are super helpful, please continue to make more of them!

Real lifesaver, thank you Tom!

Kindly confirm a Great Circle distance and a Rhumb Line distance between two points located on the Equator will be the same? Thank you for your videos and explanations, they are of great help!

Lovely tips !

I'm doing PPL exams in two days, I wish I watched this video earlier. and wish you had more videos about nav. Thank you!

Thnak you sir for this information ..God bless YOU ☺️

Yuors video arę bery helpfull. You you arę bery good techer. Profesional work…👍

I was a bit confused and now I’m not, thank you amazing video

Hi your videos are helpful currently busy with my CPL and some questions reguire navigation computer with TAS and Wind knots which are out of sequence kinda stressful

Very clearly explained 👍👍 Thank you.

Very good

bro you are awesome so precise.. I love you

Thank you so much !

Is calculator allow for the exam?

Hi Tom, I can't see how to message you. I am interested in 1:1 tuition. Cheers, George.

Hi The real reason why people are confused with great circles is that they believe in flat earth almost 90 percent of this world is not believing earth curvature so unless and until you explain firstly the curvature then people will understand that great circles are shortest

Next stage of Flat-Earth-Arguing ... :)

Your spoken English quite speed that's why i don't catch everything 😂..if u make a video in bengali on this topic , then I will caught full concept 😂😂

the Earth is demonstrably not a globe. please be honest with your audience and show how navigation works on a Flat Earth map