**AAS 199th meeting, Washington, DC, January 2002**

*Session 6. Binary Stars*

Display, Monday, January 7, 2002, 9:20am-6:30pm, Exhibit Hall
[Previous] |
[Session 6] |
[Next]

## [6.20] Determination of Orbital Parameters for Visual Binary Stars Using a Fourier-Series Approach

*D.E. Brown (Lehigh University and Brigham Young University), J.R. Prager, G.G. DeLeo, G.E. McCluskey, Jr. (Lehigh University)*

We expand on the Fourier transform method of Monet (ApJ 234,
275, 1979) to infer the orbital parameters of visual binary
stars, and we present results for several systems, both
simulated and real. Although originally developed to address
binary systems observed through at least one complete
period, we have extended the method to deal explicitly with
cases where the orbital data is less complete. This is
especially useful in cases where the period is so long that
only a fragment of the orbit has been recorded. We utilize
Fourier-series fitting methods appropriate to data sets
covering less than one period and containing random
measurement errors. In so doing, we address issues of
over-determination in fitting the data and the reduction of
other deleterious Fourier-series artifacts. We developed our
algorithm using the MAPLE mathematical software code, and
tested it on numerous "synthetic" systems, and several real
binaries, including Xi Boo, 24 Aqr, and Bu 738.

This work was supported at Lehigh University by the Delaware
Valley Space Grant Consortium and by NSF-REU grant
PHY-9820301.

[Previous] |
[Session 6] |
[Next]