d =-0.83/T (Maximum=-092, Minimum=-073) (17) This can be easily translated into an equivalent Av =3070m/s △V=44m/s/y (Maximum=49, Minimum=39) What is the effect of i if left uncompensated? Using some spherical trigonometry sini sine ④- sini cos2e (19) cosi) sine cos e sin s √1- sini cos0 (20) and for small rotations λ= i sine SOLSTICIAL e=-sine cos e So, during one day(0<< 360), the orbit describes as seen from the ground a figure 8 in the sky about its nominal position: 16.522, Space P pessan Lecture 4 Prof. Manuel martinez⎛ di ⎞ ⎝ dt ⎟ ⎠Total = −0.83 D yr (Maximum=-0.92, Minimum=-0.73) (17) ⎜ This can be easily translated into an equivalent ∆V: ∆V=vG∆i; vG = µE = 3070 m/s RG ∆V=44 m/s yr (Maximum=49, Minimum=39) (18) What is the effect of i if left uncompensated? i � � ROTATED ORBIT � EQUATORIAL ORBIT Using some spherical trigonometry, sini sin θ sin λ = (19) 2 1 - sin i cos2 θ (1- cos i sinθ cos θ (20) ) sin ε = 2 1 - sin i cos2 θ and for small rotations i, λ  i sinθ (21) SOLSTICIAL AXIS ε  i 2 sin θ cos θ (22) 2 So, during one day (0< <360 D θ ), the orbit describes, as seen from the ground, a figure 8 in the sky, about its nominal position: 16.522, Space Propulsion Lecture 4 Prof. Manuel Martinez-Sanchez Page 9 of 10