Devlin et al. (MAX 4 Ursae Minoris) and Clapp et al. (MAX 4
Herculis and Draconis) use 3.5, 6, and 9 cm
data from the balloon-borne MAX (Millimeter-wave Anisotropy
eXperiment) 4 experiment to constrain CMBR anisotropy. Ganga et al.
(1998) summarize the experiment.

The FWHM of the beams, assumed to be gaussian, are
at 3.5 cm and
at 6 or 9 cm (both one standard deviation
uncertainty). The zero-lag window function of the smooth-scan,
sinusoidally-chopped experiment is

(3) |

where , is a Bessel function of the first kind, is half of the peak-to-peak chop angle, and the bin size . The normalization for the 3.5 cm and for the 6 or 9 cm 's. It is fixed by the membrane (step-function sky) calibration technique used.

The first column in the window function file
is , which runs from 2 to
1000. The second column is the MAX 4 3.5 cm zero-lag and the
third column is the MAX 4 6 or 9 cm zero-lag .

3.5 cm | 80 | 132.7 | 145 | 224 | 1.51 |

6 or 9 cm | 70 | 113.7 | 127 | 196 | 1.41 |

The quoted Ursae Minoris bandtemperature values are from a gaussian
autocorrelation analysis by S. Tanaka (private communication 1995), with 10%
added in quadrature to the statistical 1 error bars to account for
calibration uncertainty. The quoted Herculis and Draconis
bandtemperature values are from Ganga et al. (1998). They were computed
assuming a flat bandpower spectrum and, following Ganga et al. (1997), account
for the MAX 4 absolute calibration uncertainty of 10% as well as the beamwidth
uncertainty.

Ganga et al. (1998) and Ratra et al. use the Herculis and
Draconis data to constrain cosmological parameters.

**Link to the experiment webpage.**

A.C. Clapp, et al., ``Measurements of Anisotropy in the Cosmic Microwave
Background Radiation at Degree Angular Scales Near the Stars Sigma Herculis
and Iota Draconis", *Astrophys. J. Lett.* **433**, L57 (1994).

M.J. Devlin, et al., ``Measurements of Anisotropy in the Cosmic Microwave
Background Radiation at
Angular Scales Near the Star Gamma
Ursae Minoris", *Astrophys. J. Lett.* **430**, L1 (1994).

K. Ganga, B. Ratra, J.O. Gundersen, and N. Sugiyama, ``UCSB South Pole
1994 Cosmic Microwave Background Anisotropy Measurement Constraints on
Open and Flat- Cold Dark Matter Cosmogonies",
*Astrophys. J.* **484**, 7 (1997).

K. Ganga, B. Ratra, M.A. Lim, N. Sugiyama, and S.T. Tanaka ``MAX 4 and
MAX 5 Cosmic Microwave Background Anisotropy Measurement Constraints
on Open and Flat- Cold Dark Matter Cosmogonies",
*Astrophys. J. Supp.* **114**, 165 (1998).

B. Ratra, R. Stompor, K. Ganga, G. Rocha, N. Sugiyama, and K.M.
Górski, ``Cosmic Microwave Background Anisotropy Constraints on Open
and Flat- Cold Dark Matter Cosmogonies from UCSB South Pole,
ARGO, MAX, White Dish, and SuZIE Data", *Astrophys. J.* **517**, 549 (1999).

Department of Physics, Kansas State University

Last updated: 2000-08-31