Trans-Earth insertion method based on the reversedEarth-to-Moon transformation
Abstract
<p indent="0mm">The Moon-to-Earth transformation is the reversed procession of the Earth-to-Moon transformation. Thus, the trans-Earth insertion method based on reversing the Earth-to-Moon transformation is proposed. The trans-Earth insertion is obtained by using the intersection of the low lunar orbit and Moon-to-Earth transformation orbit and adjusting the scale for the height of the low lunar orbit’s perigee. The optimal inclination of the trans-Earth insertion orbit is analytically obtained by minimizing the velocity increment and is proven by numerical searching. Based on the pulse results, the finite-force control parameter is also proposed for determining the optimal pitch angle. Finally, the trans-Earth insertion parameter is calculated by using a low lunar orbit, and the minimized velocity increment is found to not always be present for instances when the yaw angle is zero. </p>
