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Table 1
Tisserand functions for the planar case (Eq. (8)).
| F0 = 1 |
| F1 = cosx |
| F2 = (1 + 3cos2x)/4 |
| F3 = (3cosx + 5cos3x)/8 |
| F4 = (9 + 20cos2x + 35cos4x)/64 |
| F5 = (30cosx + 35cos3x + 63cos5x)/128 |
| F6 = (50 + 105cos2x + 126cos4x + 231cos6x)/512 |
| F7 = (175cosx + 189cos3x + 231cos5x + 429cos7x)/1024 |
| F8 = (1225 + 2520cos2x + 2772cos4x + 3432cos6x + 6435cos8x)/16384 |
| F9 = (4410cosx + 4620cos3x + 5148cos5x + 6435cos7x + 12155cos9x)/32768 |
| F10 = (7938 + 16170cos2x + 17160cos4x + 19305cos6x + 24310cos8x + 46189cos10x)/131072 |
Notes. We have x = u − u′ with u = v + ω,u′ = v′ + ω′.
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