=5903m/s This is noticeably worse than the true optimum Av=5768 m/s calculated for the case when a(e)is also modulated as tan a -cos 0 The initial and final tilt angles are x285|×3072 =0.3665 5903 a1=215° a2 =a,+=Ai a2=66.3° These are smaller than the peak values a,Mx=30.5, arMax=72. 2 in this optimal case,but, of course, they are applied for the whole half-orbit 16.522, Space P pessan Lecture 3 Prof. Manuel martinez Page 9 of 916.522, Space Propulsion Lecture 3 Prof. Manuel Martinez-Sanchez Page 9 of 9 ∆V =5903 m/s This is noticeably worse than the true optimum ∆V = 5768 m/s calculated for the case when α θ( ) is also modulated as tan cos α ∼ θ. The initial and final tilt angles are sin 28.5 ×3072 2 sin = = 0.3665 5903 1 ⎛ ⎞ π ⎜ ⎟ ⎝ ⎠ α D α1 = 21.5D =+ i 2 2 1 π αα ∆ α2 = 66.3D These are smaller than the peak values MAX α1 = 30.5D , 2MAX α = 72.2D in this optimal case, but, of course, they are applied for the whole half-orbit