# Measuring Mountains on the Moon

## TL;DR

This paper presents a method inspired by Galileo to measure the height of lunar mountains using geometric observations during a half Moon phase, leveraging the right triangle formed by Earth, Moon, and Sun.

## Contribution

It introduces a simple geometric technique for lunar mountain height measurement based on observational astronomy during specific lunar phases.

## Key findings

- Successfully computed mountain heights on the Moon.
- Demonstrated the geometric method's effectiveness.
- Provides a practical approach for lunar topography analysis.

## Abstract

Following a technique of Galileo we compute the height on a mountain on the Moon. It is based on a simple observation that precisely on a half Moon day, the Earth, the Moon, and the Sun form the vertices of a right triangle with the Moon at the 90 degree vertex.

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Source: https://tomesphere.com/paper/1905.08191