What is the application of hypocycloid?

As a kind of plane curve, hypocycloid can be defined as the trajectory of a moving circular point in a fixed circle. In this paper, we start with the generation process of hypocycloid and explore its parametric equation. Then astroid and its related properties are introduced.

What is an asteroid curve?

An astroid is a particular mathematical curve: a hypocycloid with four cusps. Specifically, it is the locus of a point on a circle as it rolls inside a fixed circle with four times the radius. By double generation, it is also the locus of a point on a circle as it rolls inside a fixed circle with 4/3 times the radius.

When was the astroid curve discovered?

1674
Roemer (1674) was the first to discover the set of cycloidal curves. He was searching for the best form for gear teeth, and in his search, he discovered the Asteroid.

Who discovered the astroid curve?

The cycloidal curves, including the astroid, were discovered by Roemer (1674) in his search for the best form for gear teeth. Double generation was first noticed by Daniel Bernoulli in 1725.

Why does an asteroid have a flatter light curve?

For example, an asymmetrical asteroid’s light curve generally has more pronounced peaks, while a more spherical object’s light curve will be flatter. This allows astronomers to infer information about the shape and spin (but not size) of asteroids.

What can you do with an Asteroid Tracker?

Using Asteroid Tracker you can help collect observations of interesting NEO targets, then plot and interpret your data to measure the rotation period of an asteroid. Students will plot and analyze observational data collected by members of the public using Asteroid Tracker, and aim to measure the rotational period of the asteroid.

How do you create a scatter plot for an asteroid?

We will now create a new scatter plot to show the asteroid’s magnitude changing over time. This time create the plot using the Phase and Magnitude values. You should notice that the light curves are now stacked and the gaps have been removed, creating a clearer, more complete light curve.

How is light curve inversion used in astronomy?

Light curve inversion is a mathematical technique used to model the surfaces of rotating objects from their brightness variations. This can be used to effectively image starspots or asteroid surface albedos.