Category Archives: L5

Riemann Makes Explicit what Lagrange Implied.

Posted on January 24, 2026 by PlatoHagel

1. What the Lagrangian perspective truly is The Lagrangian perspective does not ask: “What forces push an object at this point in space?” Instead, it asks: “Along which path does the system choose to move, given all constraints?” Motion is … Continue reading →

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Moving in Harmony with a Rotating Geometry

Posted on January 24, 2026 by PlatoHagel

You ask not where the points are, but how one enters the geometry that leads to them. That is the correct question. 1. The false intuition: aiming at a point One might think: “To reach a Lagrange point, one simply … Continue reading →

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The  Logic to Galactic-scale Transport Networks

Posted on January 24, 2026 by PlatoHagel

We will not imagine engines of fantasy, but extend a principle already proven true. 1. What must be preserved when scaling up When moving from the solar system to the galaxy, we must preserve relations, not mechanisms. The preserved ideas … Continue reading →

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Artemis

Posted on November 10, 2012 by PlatoHagel

Illustration of Artemis-P1 liberations orbits. Credit: NASA/Goddard ARTEMIS-P1 is the first spacecraft to navigate to and perform stationkeeping operations around the Earth-Moon L1 and L2 Lagrangian points. There are five Lagrangian points associated with the Earth-Moon system. The two points … Continue reading →

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Interplanetary Transport Network

Posted on January 25, 2010 by PlatoHagel

This stylized depiction of the ITN is designed to show its (often convoluted) path through the solar system. The green ribbon represents one path from among the many that are mathematically possible along the surface of the darker green bounding … Continue reading →

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Gravity Wave Spectrum

Posted on March 2, 2009 by PlatoHagel

PURPOSE: To show the two-dimensional standing waves on the surface of a square or circular plate. Early perception of sound as analogy to the ideas of the WMAP background were forming in my mind when Wayne HU was demonstrating the … Continue reading →

Posted in Chaldni, Colour of Gravity, Interferometer, L5, lagrangian, Sound, Wayne Hu | Tagged , , , , , , , , , | 4 Comments

Centroids

Posted on October 3, 2008 by PlatoHagel

Conclusion:The state of mind of the observer plays a crucial role in the perception of time.Einstein It is often I consider the Center of Gravity(Mass) as an illustration of the perspective that exists “around and within us” as a product … Continue reading →

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Three-body problem and WMAP

Posted on September 28, 2008 by PlatoHagel

“We all are of the citizens of the Sky” Camille Flammarion In 1858, by the set of its relations, it will allow Camille Flammarion, the 16 years age, to enter as raises astronomer at the Observatory of Paris under the … Continue reading →

Posted in HENRI POINCARE, Klein, L5, lagrangian, Moon, Three Body Problem, Topology | Tagged , , , , , , | Leave a comment

Levitation Energy: What is it?

Posted on February 24, 2008 by PlatoHagel

You must know, that contrary to what is understood of levitation, I have a view on this that cannot be said less then in complete wonderment, knowing full well the aspects of what science is stating. “I know” with all … Continue reading →

Posted in Inertia, L5, lagrangian | Tagged , , | 3 Comments

LTool

Posted on January 18, 2008 by PlatoHagel

A “freeway” through the solar system resembling a vast array of virtual winding tunnels and conduits around the Sun and planets, as envisioned by an engineer at NASA’s Jet Propulsion Laboratory (JPL), Pasadena, Calif., can slash the amount of fuel … Continue reading →

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