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Summary of Significant Accounting Policies (Details)
 3 Months Ended 6 Months Ended
Mar. 31, 2022
USD ($)
Mar. 31, 2021
USD ($)
Dec. 31, 2020
USD ($)
Mar. 31, 2022
USD ($)
segment
Mar. 31, 2021
USD ($)
Sep. 30, 2021
USD ($)
Sep. 30, 2020
USD ($)
Number of business segments              
Number of business segments in which the entity operates | segment       1      
Long-Lived Assets              
Impairment charges $ 0 $ 0   $ 0 $ 0    
Contract Balances              
Balance at beginning of the period (contract liabilities)       417,504      
Amount transferred to receivables from contract assets       0      
Contract asset additions       0      
Performance obligations satisfied during the period that were included in the contract liability balance at the beginning of the period       (316,320)      
Increases due to invoicing prior to satisfaction of performance obligations       175,544      
Balance at end of the period (contract liabilities) 276,728     276,728      
Customer Service Revenue              
Customer Service Cost of Sales 2,663,210 2,218,854   5,391,267 4,522,683    
Gross profit 4,182,610 2,902,991   $ 8,150,331 5,468,814    
Engineering Development              
Percentage of employees who were engineers engaged in various engineering development projects       19.00%      
Warranty              
Length of warranty period       24 months      
Self-Insurance Reserves              
Estimated liability for medical claims incurred but not reported 59,859     $ 59,859   $ 55,934  
Excess of funded premiums over estimated claims incurred but not reported 233,567     233,567   208,651  
Restricted Cash              
Dividends paid     $ 8,607,192        
Cash and cash equivalents 11,618,840     11,618,840   8,265,606  
Total cash and cash equivalents and restricted cash 11,618,840 5,997,691   11,618,840 5,997,691 $ 8,265,606 $ 23,784,867
Customer Service              
Customer Service Revenue              
Customer Service Sales 1,360,155 1,214,372   2,445,600 2,029,875    
Customer Service Cost of Sales 399,086 354,664   742,736 671,301    
Gross profit $ 961,069 $ 859,708   $ 1,702,864 $ 1,358,574    
Property Plant and Equipment Other than Air Transportation Equipment and Manufacturing Facility | Minimum              
Number of business segments              
Estimated useful lives       3 years      
Property Plant and Equipment Other than Air Transportation Equipment and Manufacturing Facility | Maximum              
Number of business segments              
Estimated useful lives       7 years      
Manufacturing facility              
Number of business segments              
Estimated useful lives       39 years      
Corporate airplanes              
Number of business segments              
Estimated useful lives       10 years