1) The parametric modeling method for loxodrome normal circular - arc spiral bevel gear was presented.

2) Because the width dimension of loxodrome groove is narrow and the depth is deep, some machining methods are incapable, such as end-milling or electrochemistry.

3) The two-year manufacture practice has confirmed the validity and feasibility of developed loxodrome coolant channel milling method.

4) By this emulation method, the driving error and aptness of loxodrome normal circular-arc bevel gear on the condition of errors can be analysed effectively.

5) In this dissertation, the relationship between the errors and variations for the loxodrome normal circular-arc spiral bevel gear (LNCSBG) is deeply studied.

6) Based on the principle of"minimal orientation-distance", an emulation algorithm of error analysis is put forward for transmission of loxodrome normal circular-arc bevel gear.

7) Disigning coolant channel on the firebox of liquid rocket engine to loxodrome(equal-angle helix) groove can improve firebox coolant capability greatly.