Difference in usage between 満月（まんげつ） and 望月（もちずき）？

Today is a full moon and so I decided to learn the name for it! I understand mangetsu 満月 is the most commonly used word for “full moon,” and I’ve [read](https://thetruejapan.com/how-to-say-moon-in-japanese/) that mochizuki 望月 is a “poetic” way of saying “full moon.” I was just wondering if anyone had any examples of how mochizuki 望月 can be poetically used in conversation (if used at all) so that I can understand it better. Thank you : )