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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 @@ <p>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. </p> -<p>Imagine you are observing a <em>cosmic dance</em> 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.</p> +<p>Imagine you are observing a <em>cosmic dance</em> 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.</p> <p>When <code>n=2</code>, 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 <code>n>2</code>, 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. </p> -<p>As the number of objects increases, finding an exact solution becomes impossible, and we rely on analyticals approximations.</p> +<p>As the number of objects increases, finding an exact solution becomes impossible, and we rely on analytical approximations.</p> <h2>Visualising a basic orbit</h2> |