science

Hilbert (crater)

Hilbert (crater) is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Hilbert (crater) rather than just read about it. In short: Hilbert is a lunar impact crater that is located on the far side of the Moon, just past the southeast limb. It is named for German mathematician David Hilbert.

Key takeaways

Hilbert (crater) belongs to science; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Hilbert (crater) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Hilbert (crater) from memory before moving on to harder problems.

Reference excerpt

Hilbert is a lunar impact crater that is located on the far side of the Moon, just past the southeast limb. It is named for German mathematician David Hilbert. It lies just beyond the region of the surface that is occasionally brought into view due to libration, and so this feature cannot be observed directly from the Earth. The crater is attached to the southeast rim of the walled plain named Pasteur, a formation nearly half as large again as Hilbert. To the southeast of Hilbert is the smaller crater Alden, while Backlund lies to the west-northwest. Much of the outer rim of Hilbert remains relatively intact, although it is heavily eroded in places particularly in the south. The interior is relatively flat, but has been deeply gouged by several small craters. There is a short range of central ridges offset to the west of the interior midpoint. The infrared spectrum of pure crystalline plagioclase has been identified on this rise. Just to the west of the ridges is Hilbert W, a crater with a smaller crater overlying the western rim, giving it a pear-like shape. Hilbert H is a circular, bowl-shaped crater in the east part of the floor. Next to the northern rim is Hilbert Y. There are also many lesser craterlets scattered about the interior. It is characterised by an extremely high rockfall density by lunar standards. Hilbert is one of the largest craters of Nectarian age.

Satellite craters By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Hilbert.

References

Sources

Illustrations

Worked examples

Example 1 — a first encounter with Hilbert (crater)

Start with the simplest possible case. Write down what Hilbert (crater) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Hilbert (crater) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Hilbert (crater) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Hilbert (crater)

In research: Hilbert (crater) appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Hilbert (crater) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Hilbert (crater) is common in secondary-school and first-year university syllabi. It links to neighbouring topics Impact craters on the Moon, LQ22 quadrangle, so understanding it makes those chapters shorter.
In everyday life: Look for Hilbert (crater) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Hilbert (crater)” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Hilbert (crater) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Hilbert (crater) means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Hilbert (crater) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hilbert (crater) in simple terms?

Hilbert is a lunar impact crater that is located on the far side of the Moon, just past the southeast limb. It is named for German mathematician David Hilbert.

Why does Hilbert (crater) matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Hilbert (crater)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Hilbert (crater).