I got it, we need an organization that will make ever lasting peace possible on our planet.  And there is no better place to host it than Paris, France:

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Such an organization would have to be headquartered in a country that is neutral to all major powers on the planet. And this place will have to be a major polit-economical and cultural center so that it doesn't fall under the influence of any of these major powers. Of course, I can't think of a better place for Orbfleet headquarters than Paris, France.

First of all, as a result of the outcome of World War II, France is a permanent member of the security council. United Kingdom is the only other member of the council that isn't a major power and it's under heavy influence of the USA. France has its own nuclear arsenal and "remains the only NATO member outside the Nuclear Planning Group and unlike the United States and the United Kingdom, will not commit its nuclear-armed submarines to the alliance". It has a sizable military and its own military-industrial complex.

France also has strategically significant islands in the Pacific, Indian and North Atlantic oceans. It provides military coverage for most of Western Africa and hosts the European space port in South America.

The other critical factor that makes France the prime candidate is its cultural heritage. Culture is the key component to our long term survival. Not only do we have to remember our evolutionary heritage (vs other myths of more recent beginnings) but we also must show cultural refinement and most importantly beauty. I truly believe that the saying "beauty will save the world" is correct.

French culture is renowned throughout the world and is considered very appealing. It's capital Paris is the most beautiful city on the planet and hosts Louvre, the biggest art museum we have. Everybody dreams of visiting Paris at least once in their lifetimes.

In terms of political culture, France maintains its pan-European ambitions (that go as far as building a greater European community, including Russia) with a strong will. As the burning of the Notre-Dame roof (and subsequent raising of funds to rebuild it) has shown it has unity of the masses with the elites when it comes to the most important questions. Yet at the same time its proletariat is the most conscious in the world and has successfully defended the retirement age and is doing so again as I'm writing this post.

And, very symbolically, the Eiffel tower (which was the tallest structure on the planet for 41 years after a long period of dominance of the Egyptian Pyramids) looks like a ground anchor of a space elevator.

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