# Astronomical Refraction: Computational Method for All Zenith Angles

## Abstract

It is shown that the problem of computing astronomical refraction for any value of the zenith angle may be reduced to a simple, nonsingular, numerical quadrature when the proper choice is made for the independent variable of integration. The angle between the radius vector and the light ray is such a choice. The implementation of the quadrature method is discussed in its general form and illustrated by means of an application to a piecewise polytropic atmosphere. The flexibility, simplicity, and computational efficiency of the method are evident. (c) (c)

- Authors:

- Publication Date:

- OSTI Identifier:
- 20217306

- Resource Type:
- Journal Article

- Journal Name:
- Astronomical Journal

- Additional Journal Information:
- Journal Volume: 119; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 0004-6256

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; REFRACTION; EARTH ATMOSPHERE; INCIDENCE ANGLE; CALCULATION METHODS; NUMERICAL SOLUTION; THEORETICAL DATA

### Citation Formats

```
Auer, Lawrence H., and Standish, E. Myles.
```*Astronomical Refraction: Computational Method for All Zenith Angles*. United States: N. p., 2000.
Web. doi:10.1086/301325.

```
Auer, Lawrence H., & Standish, E. Myles.
```*Astronomical Refraction: Computational Method for All Zenith Angles*. United States. doi:10.1086/301325.

```
Auer, Lawrence H., and Standish, E. Myles. Mon .
"Astronomical Refraction: Computational Method for All Zenith Angles". United States. doi:10.1086/301325.
```

```
@article{osti_20217306,
```

title = {Astronomical Refraction: Computational Method for All Zenith Angles},

author = {Auer, Lawrence H. and Standish, E. Myles},

abstractNote = {It is shown that the problem of computing astronomical refraction for any value of the zenith angle may be reduced to a simple, nonsingular, numerical quadrature when the proper choice is made for the independent variable of integration. The angle between the radius vector and the light ray is such a choice. The implementation of the quadrature method is discussed in its general form and illustrated by means of an application to a piecewise polytropic atmosphere. The flexibility, simplicity, and computational efficiency of the method are evident. (c) (c)},

doi = {10.1086/301325},

journal = {Astronomical Journal},

issn = {0004-6256},

number = 5,

volume = 119,

place = {United States},

year = {2000},

month = {5}

}

DOI: 10.1086/301325

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