astronomy

V762 Cassiopeiae

V762 Cassiopeiae is a astronomy 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 V762 Cassiopeiae rather than just read about it. In short: V762 Cassiopeiae is a star in the constellation of Cassiopeia. Its apparent magnitude vary between 5.82 and 5.95, which makes it faintly visible to the naked eye under dark skies.

Key takeaways

V762 Cassiopeiae belongs to astronomy; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect V762 Cassiopeiae to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of V762 Cassiopeiae from memory before moving on to harder problems.

Reference excerpt

V762 Cassiopeiae is a star in the constellation of Cassiopeia. Its apparent magnitude vary between 5.82 and 5.95, which makes it faintly visible to the naked eye under dark skies. Parallax measurements give it a distance of 2,500 light-years.

Characteristics

V762 Cassiopeiae has a spectral classification of K5 I, suggesting that it is an evolved K-type red supergiant star. Other catalogues have published spectral types of K4, M, and M3II. The Bright Star Catalogue assigned a class of K1V, which originated from one of the earliest observations of this star and was adopted by the General Catalogue of Variable Stars. Recent estimates of the star's physical properties, considering its distance in excess of a thousand light-years, found that it is a red supergiant or asymptotic giant branch star. At an estimated to be ten million years old, has around 16.9 times the Sun's mass and has expanded to 266 times the Sun's radius. It radiates 15,000 times the solar luminosity from its photosphere at an effective temperature of 3,869 K, which gives it an orange-red hue. Parallax measurements from the Gaia spacecraft show that V762 Cassiopeiae is located about 2,500 light-years away. At the estimated distance, V762 Cassiopeiae's apparent brightness is diminished by 1.04 magnitudes due to interstellar extinction. Hipparcos satellite data showed that the star is variable, and because of that it was given the variable-star designation V762 Cassiopeiae, in 1999. The variability amplitude in visible light is only about 0.1 magnitudes. The star was catalogued as a semi-regular variable.

Distance and titleholding Some websites claim V762 Cassiopeiae is the "farthest star visible to the naked eye", at a distance of 16,300 light-years. This distance is apparently based on the first Hipparcos published parallax of 0.22±0.59 mas, approximately 5,000 pc or 16,300 light years. However, given the statistical margin of error, the distance is meaningless. The Hipparcos new reduction gives a parallax of 1.18±0.45 mas, corresponding to a distance of about 2,800 light-years, and Gaia DR3 lists a parallax of 1.3148±0.0693 mas, corresponding to a distance of about 2,500 light-years.

References

Illustrations

Worked examples

Example 1 — a first encounter with V762 Cassiopeiae

Start with the simplest possible case. Write down what V762 Cassiopeiae claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 V762 Cassiopeiae 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 V762 Cassiopeiae 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 V762 Cassiopeiae

In research: V762 Cassiopeiae appears in astronomy 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 V762 Cassiopeiae 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: V762 Cassiopeiae is common in secondary-school and first-year university syllabi. It links to neighbouring topics Bright Star Catalogue objects, Cassiopeia (constellation), Durchmusterung objects, so understanding it makes those chapters shorter.
In everyday life: Look for V762 Cassiopeiae 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.

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How to study V762 Cassiopeiae in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what V762 Cassiopeiae 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 V762 Cassiopeiae out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is V762 Cassiopeiae in simple terms?

V762 Cassiopeiae is a star in the constellation of Cassiopeia. Its apparent magnitude vary between 5.82 and 5.95, which makes it faintly visible to the naked eye under dark skies.

Why does V762 Cassiopeiae matter?

Because it connects several astronomy 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 V762 Cassiopeiae?

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 V762 Cassiopeiae.