The problem of the relation of three objects in space is formulated in Lagrangian mechanics. Joseph-Louis Lagrange focused on the interplay of the three objects. One that is negligibly small compared to two large. Two massive ones (A1 and A2) and a small object (B) have interesting influences that I write about today. Suppose A1 is slightly larger than A2 object, and that about A2 rotates a small B body. A2 and B move together around the common rotation center A1 and A2 of the object. By circular motion around their common center of mass (although they are influenced by gravitational pulls) - A1 and A2 will not fall on top of each other. Due to the large A1 and A2 masses relative to the B object, they gravitationally attract that small object. Since A1 is slightly larger than A2, A2 rotates with B about A1. The B body rotates about A1 together with A2, which is why, in addition to its gravitational influence, the B body is also subjected to centrifugal force. The vector addition of all these forces at each point in space yields an interesting result. At five points this sum equals zero. If a B object (or any other small body) is found at one of those five points - that object remains "forever" at that point, and without the influence of large objects. These points are called Langrangian points. Because they are "unaffected by forces", these points are ideal for stationing telescopes, satellites, and other scientific devices. The powerful James Webb Space Telescope is expected to be mounted in the Langrangian point of the Earth-Sun system. Learn Astronomy and Astrophotography. I have really nice ideas for this my youtub channel. Do Subscribe and join here ... Learn Astronomy
Wednesday, September 9, 2020
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