Properties of the Transfers from LEO to the Retrograde-GEO using Lunar Swing-by in a Three-Body Model
Year: 2021
Type: preprint
Abstract: A monitor-satellite on a retrograde geostationary earth orbit (retro-GEO) gives the GEO-assets debris-warnings per 12 hour. The properties of the transfers from a low earth orbit to the retro-GEO using lunar swing-by without middle-way maneuver are exhibited in a three-body model. Based on the Poincaré-section methodology, the proof of the existence of this transfer is proven in the planar circular restricted three-body problem (CR3BP) model. Then, the maximum altitude of the perilune of this transfer is solved using the sequence quadratic programming optimization algorithm. Besides, the orbital inclination changeable capacity of this transfer is calculated in the spatial CR3BP model by the continuation of the orbital design values in the planar CR3BP model. The numerical results show that the maximum altitude of the perilune is 892 km and the maximum orbital inclination changeable capacity is 138 degree relative to the plane of the Moon’s path. Further analysis show that the minimum sum of the two-impulse velocity increments (i.e., departure from LEO and insert into the retro-GEO) is 4.224 km/s, the change of the orbital inclination is 107 degree relative to the plane of the Moon’s path in this case. Due to the maximum angle of the plane of the Moon’s path on the equator is 28.6 degree per Metonic cycle (i.e., 18.6 years), everyday has a month window to match the longitude of the launch-site for trans-lunar injection.
Source: Research Square
Authors: Boyong He, Pengbin Ma, Hengnian Li
Language: English
Subfield: Aerospace Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Awards: G4093923681, G5430017603
OpenAlex ID: W4240936680