Suppose on a certain day (or night) the Moon rises at the same moment in Albany, New York, as in Tallahassee, Florida. How far South is the Moon at that moment? That is, give what is called its declination, which is the latitude on Earth where it is directly overhead.

Wikipedia gives:
Albany Latitude = 42.6526
Albany Longitude = 73.7562
Tallahassee Latitude = 30.4383
Tallahassee Longitude = 84.2807

(a) Consider the Earth a perfect sphere, rise time being the rise of the center of the Moon, and disregard atmospheric refraction.

(b) Add in a consideration of the parallax caused by the fact the moon is only about 60 Earth radii away, and the 1/2° refraction of the position of rising astronomical objects, including the moon, by Earth's atmosphere.

Albany and Tallahassee are two cities in the southeastern region of the United States.

Albany is a city located in southwest Georgia. It has a population of approximately 73,000 people and is known for its rich history and cultural heritage. Albany is home to several museums, including the Albany Museum of Art and the Thronateeska Heritage Center, which showcase the city's history and artistic achievements. Albany is also an important hub for commerce, with a thriving agricultural industry and a busy seaport.

Tallahassee is the capital city of the state of Florida and is located in the panhandle region of the state. It has a population of around 200,000 people and is home to several universities and research institutions, including Florida State University and Florida A&M University. Tallahassee is known for its beautiful parks and natural areas, such as the Alfred B. Maclay Gardens State Park and the Apalachicola National Forest. It is also a center for government and politics, with many state agencies and legislative offices located in the city.

Posted by willaim on 2023-05-10 00:41:46