| Efficient Trajectory Planning for Mars Missions Using the Sphere of Influence Technique |
| Paper ID : 1006-ISCH |
| Authors |
|
Doaa Abdou Oda *1, Medhat Kammal Ammar2, Walled Nabil3 1Mathematics, science, Helwan , Cairo, Egypt. 2Department of Mathematics., Faculty of science, Helwan University, Cairo, Egypt 3Department of Applied Mathematics. Physics Research Institute, N.R. Centre, Cairo, Egypt. |
| Abstract |
| The goal of this paper is to Design a complete interplanetary trajectory of (S/C) from a low Earth orbit around (initial planet) in order to insert the (S/C) into an elliptic parking orbit around Mars (final planet). Thus, we aim to find a combination of conical trajectories, which consist of a departure hyperbolic orbit from an Earth circular parking orbit to the sphere of influence of the departure planet (Earth), the arrival hyperbolic orbit inside the sphere of influence of the arrival planet (Mars), which insert the S/C into an elliptic parking orbit around Mars, and the heliocentric elliptic transfer obit connecting them. A new iterative technique was used to determine the coordinates of the departure and arrival positions at the sphere of influence of the departure and arrival planets, and herein, the design of the heliocentric transfer trajectory from the exit and entrance positions on sphere of influence of the planets. The table of each step of the mission is also included. |
| Keywords |
| interplanetary mission – Patched Conics – sphere of influence |
| Status: Abstract Accepted (Poster Presentation) |