From 8552efd74a7b50afc87b536451e6e86125f1c19a Mon Sep 17 00:00:00 2001 From: Navan Chauhan Date: Mon, 18 Dec 2023 22:21:30 -0700 Subject: fix spelling --- docs/posts/2023-04-30-n-body-simulation.html | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'docs/posts/2023-04-30-n-body-simulation.html') diff --git a/docs/posts/2023-04-30-n-body-simulation.html b/docs/posts/2023-04-30-n-body-simulation.html index 03061b0..6583004 100644 --- a/docs/posts/2023-04-30-n-body-simulation.html +++ b/docs/posts/2023-04-30-n-body-simulation.html @@ -64,11 +64,11 @@

The n-body problem is a classic puzzle in physics (and thus astrophysics) and mathematics that deals with predicting the motion of multiple celestial objects that interact with each other through gravitational forces.

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Imagine you are observing a cosmic dance between multiple celestial bodies, all tugging on one another as they move through space. The n-body problem aims to undersand and predict the paths of these objects as they move through space.

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Imagine you are observing a cosmic dance between multiple celestial bodies, all tugging on one another as they move through space. The n-body problem aims to understand and predict the paths of these objects as they move through space.

When n=2, i.e we have only two objects, say the Earth and the Moon, we can easily apply Newtonian physics to predict their motion. However, when n>2, the problem becomes much more difficult to solve analytically.[1] This is because each object feels the gravitational pull from all other objects, and thus the equations of motion become coupled and non-linear.

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As the number of objects increases, finding an exact solution becomes impossible, and we rely on analyticals approximations.

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As the number of objects increases, finding an exact solution becomes impossible, and we rely on analytical approximations.

Visualising a basic orbit

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