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Cascaded Lag Filter Order

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Kral

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Anybody know of a closed form formula for calculating the required filter order n and corner frequency for cascaded analog lag filters meeting a required passband and stopband specification? I realize that cascaded lags are usually a poor choice of filter type, compared with Butterworth, Chebyshev, elliptic, Bessel, etc.
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Example:
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For 5rad/sec in the passband, the Gain must be >= .99, and for 43 rad/sec in the stopband, the gain must be <= than 0.002.Given thes specs, what must the filter order n and the corner frequency fc of each section be? The formula should be able to compute these two parameters directly from the filter specs.
Thanks,
Kral
 

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