论文标题
行星连词的时钟模型
A clock model for planetary conjunctions
论文作者
论文摘要
本文的灵感来自2020年12月21日的木星和土星的巨大结合。我们将从数学的角度解决以下问题。什么是连词？我们多久有两个行星的连词？天空中的伟大连词如何分布？一个伟大的连词循环返回一年中的天空和时间相同的一点需要多长时间？可以有3个外行星的连词吗？这种情况多久一次？我们将首先设置用于制定这些问题的几何框架。然后，我们将通过在更平凡的情况下首先检查类似问题来分析这些问题：时钟中的三只手。即使时钟模型是一个简单的模型，它忽略了行星宇宙舞的更微妙和复杂的元素，但它还是简洁地捕捉了主要思想。
This article is inspired by the great conjunction of Jupiter and Saturn on December 21st, 2020. We will address the following questions from a mathematical standpoint. What is a conjunction? How often do we have a conjunction of two planets? How are great conjunctions distributed in the sky? How long will it take for a cycle of great conjunctions to return to the same point in the sky and time of the year? Can there be a conjunction of 3 outer planets? How often can that happen? We will begin by setting up the geometric framework for formulating these questions. Then we will analyze these questions by first examining similar questions in a more mundane context: the three hands in a clock. Even though the clock model is a simple model that ignores the more subtle and complex elements of planets' cosmic dance, it captures the main ideas succinctly.
