Characteristic Numbers of Complex-Parameter Mathieu Equation.
Abstract
Characteristic numbers are calculated as a function of complex q for cosine-type Mathieu functions of order 0, 1, and 2; for sine-type Mathieu functions of order 1 and 2; and for fractional characteristic exponent beta of .2, .4, .6, .8, 1.2, 1.4, 1.6, and 1.8. For the cosine-type functions of order 0 and 2, and for all values of beta except 1.6 and 1.8, 0 = or < the absolute value of q = or < 3. For the cosine and sine-type functions of order 1, 0 = or < the absolute value of q = or < 3.5; and for the sine-type function of order 2, 0 = or < the absolute value of q = or < 7. For beta = 1.6, 0 = or < the absolute value of q = or < 2.4, and beta = 1.8, 0 = or < the absolute value of q = or < 1.7. In all cases, the phase of q ranges from zero to 345 degrees in 15 degree increments. The results are presented in graphical and tabular form. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1969
- Accession Number
- AD0859006
Entities
People
- Samuel E. Leifeste
Organizations
- Air Force Institute of Technology