Lunar Gravity Assist to a Geosynchronous Transfer Orbit

版本 1.0.0 (110.0 MB) 作者: David Eagle
Design an n-body trajectory from low Earth orbit (LEO) to a geosynchronous transfer orbit (GTO) using a gravity assist of the Moon.
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更新时间 2024/4/9

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This is a MATLAB script named lga2gto_otb that can be used to design an n-body transfer trajectory from a circular, low Earth orbit (LEO) to a geosynchronous transfer orbit by way of a lunar gravity assist (LGA). The n-body equations of motion implemented in this script include non-spherical Earth gravity and the point-mass gravity of the sun and moon.
The major computational steps of this divide and conquer script are as follows;
Step 1 - Solve the two-body, zero sphere-of-influence (ZSOI) Lambert problem while minimizing the trans-lunar injection (TLI) delta-v magnitude
Step 2 - Using the two-body solution from Step 1 as an initial guess, target to user-defined B-plane coordinates at the moon again minimizing the TLI delta-v magnitude
Step 3 - Using the n-body solution found in Step 2 as an initial guess, target to a perigee of an inbound transfer trajectory equal to geosynchronous radius (42164.336 kilometers) and zero orbital inclination.
This script uses the fmincon algorithm from the Mathworks® Optimization Toolbox to solve each step.
The lga2gto_otb script uses routines from the MICE software suite to read and evaluate the JPL ephemeris file. Platform-specific MICE mex files, support functions and the binary ephemeris file (de430.bsp) are available at naif.jpl.nasa.gov/naif/toolkit_MATLAB.html. MICE is a MATLAB implementation of the SPICE library created by JPL.

引用格式

David Eagle (2024). Lunar Gravity Assist to a Geosynchronous Transfer Orbit (https://www.mathworks.com/matlabcentral/fileexchange/163031-lunar-gravity-assist-to-a-geosynchronous-transfer-orbit), MATLAB Central File Exchange. 检索来源 .

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1.0.0