Никола 2018, 1 октомври — Задача 4

1 Октомври 2018г.

Условие

An astronomer on Earth observes a globular cluster, which has an angular diameter α and contains N stars, each one with the same absolute magnitude M$_0$, and is at a distance D from the Earth. A biologist is in the center of that cluster.

1.1. What is the difference between the combined visual magnitudes of all stars observed by the astronomer and the biologist. Consider that the spatial distribution of stars in the cluster is perfectly homogeneous and the biologist is measuring the combined magnitude of the entire cluster.

1.2. What is the diameter of the astronomer’s telescope, considering he wants to visualize the cluster with the same brightness that the biologist sees?

1.3. What would be the difference between the visual magnitudes observed by the two scientists, if the diameter of the field of view of the biologist is also α.

Решение

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Оригинал в Архива: 1102018.pdf